Compress report for pressure vessel
description
Transcript of Compress report for pressure vessel
Settings Summary Datum Line Location: -38.00 mm from bottom seam Design ASME Section VIII Division 1, 2010 Edition Metric Design or Rating: Get Thickness from Pressure
Minimum thickness: 1.5 mm per UG-16(b)
Design for cold shut down only: No
Design for lethal service (full radiography required): No
Design nozzles for: Design P, find nozzle MAWP and MAP
Corrosion weight loss: 100% of theoretical loss
UG-23 Stress Increase: 1.20
Skirt/legs stress increase: 1.0
Minimum nozzle projection: 152.4 mm
Juncture calculations for a > 30 only: No
Preheat P-No 1 Materials > 1.25" and <= 1.50" thick: No
UG-37(a) shell tr calculation considers longitudinal stress: Yes Butt welds are tapered per Figure UCS-66.3(a). Hydro/Pneumatic Test Shop Hydrotest Pressure: 1.3 times vessel MAP
Test liquid specific gravity: 1.00
Field Hydrotest Pressure: 1.3 times vessel MAWP
Wind load present @ field: 100% of design
Maximum stress during test: 90% of yield Required Marking - UG-116 UG-116(e) Radiography: RT1
UG-116(f) Postweld heat treatment: HT Code Cases\Interpretations Use Code Case 2547: No
Apply interpretation VIII-1-83-66: Yes
Apply interpretation VIII-1-86-175: Yes
Apply interpretation VIII-1-83-115: Yes
Apply interpretation VIII-1-01-37: Yes
No UCS-66.1 MDMT reduction: No
No UCS-68(c) MDMT reduction: No
Disallow UG-20(f) exemptions: No UG-22 Loadings UG-22(a) Internal or External Design Pressure : Yes
UG-22(b) Weight of the vessel and normal contents under operating or test conditions: Yes
UG-22(c) Superimposed static reactions from weight of attached equipment (external loads): No
UG-22(d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs: Yes
UG-22(f) Wind reactions: Yes
UG-22(f) Seismic reactions: No
UG-22(j) Test pressure and coincident static head acting during the test: YesNote: UG-22(b),(c) and (f) loads only considered when supports are present.
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shell check head checkV-8601 3.5 1.0342 150 150 2.6 1.0342 150 150 1,990 6,500 15 15 6 7.8846154 PASS 7.884615 PASS
V-8601 3.5 1.0342 150 150 2.6 1.0342 150 150 1,990 6,500 PASS
Data Steam out condition
ItemPdesign in/out Tdesign Pdesign in/out
Design checked with DEP 31.22.20.31-Gen January 2010 standard
Table.1 Thickness calculation as per para. 4.1
Norminal thickness
shell head
TdesignID of shell tan/tan CAin
ItemPdesign in/out Tdesign Pdesign in/out Tdesign
in out in out in
in out in
Minimum thickness as para 4.1.1DEP. (D/650+1.8+C.A)
Data Steam out condition
out out
Table.2 Length of skirt support calculation as per para. 4.13
out in out ID of skirt tan/tanNorminal thickness
in outActual length of skirt as per GA.
DWGs
670
check
10
Minimum length of skirt as para 4.13.1
2(Rt)1/2
199.4993734
Skirt
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Weight Summary
Component
Weight ( kg) Contributed by Vessel Elements Surface
Area m2
Metal New*
Metal Corroded* Insulation Insulation
Supports Lining Piping
+ Liquid
Operating Liquid Test Liquid
New Corroded New Corroded
Top Head 482.8 259.5 343.7 40 0 0 1,146.1 1,173.4 1,161.1 1,188.9 5.08
Shell 4,662.3 2,806.1 2,952.6 640 0 0 19,818 20,063.9 20,078.4 20,327.5 39.98
Bottom Head 490.4 263.5 343.7 40 0 0 1,134.9 1,161.5 1,150.1 1,177.2 5.15
Support Skirt 1
331.4 232 0 0 0 0 0 0 0 0 8.5
Support Skirt 2
741.9 519.4 0 0 0 0 0 0 0 0 19.04
Support Skirt 3
741.9 519.4 0 0 0 0 0 0 0 0 19.04
Support Skirt 4
741.9 519.4 0 0 0 0 0 0 0 0 19.04
Support Skirt 5
541.1 378.8 0 0 0 0 0 0 0 0 13.89
Support Skirt 6
747.9 523.5 0 0 0 0 0 0 0 0 19.19
Skirt Base Ring
630.5 630.5 0 0 0 0 0 0 0 0 6.32
TOTAL: 10,112.2 6,651.9 3,640 720 0 0 22,099 22,398.8 22,389.7 22,693.6 155.23
* Shells with attached nozzles have weight reduced by material cut out for opening.
Component
Weight ( kg) Contributed by Attachments
Surface Aream2 Body Flanges Nozzles &
Flanges PackedBeds
Ladders &Platforms Trays Tray
Supports Rings &
Clips Vertical Loads
New Corroded New Corroded
Top Head 0 0 74.4 63.1 0 0 0 0 0 0 0.57
Shell 0 0 1,122.1 1,044.4 5,691.8 0 0 0 168.2 0 7.95
Bottom Head 0 0 27.4 22.1 0 0 0 0 0 0 0.26
Support Skirt 1 0 0 0 0 0 0 0 0 0 0 0
Support Skirt 2 0 0 0 0 0 0 0 0 0 0 0
Support Skirt 3 0 0 0 0 0 0 0 0 0 0 0
Support Skirt 4 0 0 0 0 0 0 0 0 0 0 0
Support Skirt 5 0 0 0 0 0 0 0 0 0 0 0
Support Skirt 6 0 0 0 0 0 0 0 0 0 0 0
Skirt Base Ring 0 0 0 0 0 0 0 0 13.8 0 0.12
TOTAL: 0 0 1,223.9 1,129.6 5,691.8 0 0 0 182 0 8.89
Vessel operating weight, Corroded:
40,414 kg
Vessel operating weight, New: 43,669 kg Vessel empty weight, Corroded: 18,015 kg Vessel empty weight, New: 21,570 kg Vessel test weight, New: 38,268 kg Vessel test weight, Corroded: 35,017 kg Vessel surface area: 164.12 m2
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Vessel center of gravity location - from datum - lift condition Vessel Lift Weight, New: 17,930 kg Center of Gravity: 1,282.69 mm Note: Vessel lift weight includes weight of insulation supports as they are assumed to be shop installed. Vessel Capacity Vessel Capacity** (New): 22,280 liters Vessel Capacity** (Corroded): 22,574 liters **The vessel capacity does not include volume of nozzle, piping or other attachments.
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Design Conditions
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DESIGN CODE : ASME SEC. VIII DIV.1 2010 EDITIONPROCESS FLUID(GAS/LIQUID) : SOUR GAS/WATERDENSITY OF LIQUID (OPER./DESIGN) : 987.03/1000 Kg/m3
DESIGN FILLING : 100%DESIGN PRESSURE (INTERNAL/EXTERNAL) 3.5/FV. bar(g) AT 150 OCOPERATING PRESSURE (Max./Normal/Min.) -/0.8/- bar(g) AT -/50/- OCHYDROTEST PRESSURE (AT SHOP) 17.52 bar(g)CORRODED HYDROTEST PRESSURE (AT SITE) 7.4 bar(g)MAXIMUM ALLOWABLE WORKING PRESSURE 5.69 bar(g) AT 150 OCMAXIMUM ALLOWABLE EXTERNAL WORKING PRESSURE 1.03 bar(g) AT 150 OCMINIMUM DESIGN METAL TEMPERATURE 15 OC AT 5.69 bar(g)CORROSION ALLOWANCE (INTERNAL/EXTERNAL) 6/0 mmVESSEL TYPE : VERTICAL TYPE OF HEAD : ED 2:1TYPE OF SUPPORT : SKIRT SUPPORT SEISMIC LOAD : UBC ZONE 0IMPACT TEST : NO DESIGN WIND SPEED : 40 m/s HARDNESS TEST : NO POSTWELD HEAT TREATMENT : YESINSULATION : H-70 FIRE PROOFING COATING : N/A
COMPONENTSHELL HEAD
SHELL,HEAD,REINFORCING PADS : A516 Gr 60N+HIC BOLT/NUT (INT) : SS 316FLANGE : A 105 N UPPER SKIRT : A 516 Gr. 60N+HICNOZZLE NECK (Ø12"&SMALLER) : A 106 Gr. B LOWER SKIRT : A 283 Gr.CNOZZLE NECK (LARGERØ12") : A 516 Gr.60N+HIC ANCHOR BOLT : -MANHOLE NECK : A 516 Gr.60 N+HIC STRUCTURE PLATFORM : N/AFITTING: A 234 WPB BASE PL. : A 283 Gr.CGASKET : SEE NOTE 1 ATTACHMENT (EXT.)/WELD : A 516 Gr.60N+HIC/A 283 Gr.CINTERNAL PART : SS 316 ATTACHMENT (EXT.)/REMOV :STUD BOLT/ NUT (EXT) : A 193-B7M / A 194-Gr.2HM ATTACHMENT (INT.)/WELD : A 516 Gr.60N+HIC
FABRICATION 21,570 Kg. OPERATING 40,414 Kg.ERECTION 21,570 Kg. HYDROTEST (SHOP) 38,268 Kg.EMPTY 21,570 Kg.
NOTE:
1. GASKET SHALL BE SPIRAL WOOL 316 WITH GRAPHITE FILLED, 316 INNER RING AND CS OUTER RING
2. ENVIRONMENTAL CORROSION ALLOWANCE CARBON STELL = 1.5 mm. As per DEP 31.22.20.31, para 3.6.1.1
1.001.00
DESIGN SPECIFICATION
RADIOGRAPHIC EXAMINATIONRADIOGRAPHIC
FULL
MATERIAL SPECIFICATION
WEIGHT
FULL
JOINT EFFICENCY
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Pressure Summary
Pressure Summary for Chamber bounded by Bottom Head and Top Head
Identifier P
Design ( bar)
T Design ( °C)
MAWP( bar)
MAP( bar)
MAEP( bar)
Te external
( °C)
MDMT( °C)
MDMT Exemption
ImpactTested
Top Head 3.5 150 7.94 15.1 1.76 150 -48 Note 1 No
Straight Flange on Top Head 3.5 150 10.47 17.63 1.37 150 -48 Note 2 No
Shell 3.5 150 9.85 17.63 1.37 150 -48 Note 3 No
Straight Flange on Bottom Head 3.5 150 9.85 17.63 1.37 150 -48 Note 5 No
Bottom Head 3.5 150 7.26 15.1 1.76 150 -48 Note 4 No
Ring N/A N/A N/A N/A 1.03 150 N/A N/A No
Manway (A1) 3.5 150 9.15 13.67 1.37 150 -48 Nozzle Note 6 No
Pad Note 7 No
Manway (A2) 3.5 150 8.75 13.67 1.37 150 -48 Nozzle Note 8 No
Pad Note 9 No
Packing Unloading (H1) 3.5 150 7.89 14.67 1.37 150 -48 Nozzle Note 10 No
Pad Note 11 No
Level Gauge (LG) (K1A) 3.5 150 10.02 17.63 1.37 150 -48 Note 12 No
Level Gauge (LG) (K1B) 3.5 150 9.87 17.63 1.37 150 -48 Note 13 No
Level Transmitter(LICA) (K2A) 3.5 150 10 17.63 1.37 150 -48 Note 14 No
Level Transmitter(LICA) (K2B) 3.5 150 9.89 17.63 1.37 150 -48 Note 15 No
Level Transmitter(LZA) (K3A) 3.5 150 10 17.63 1.37 150 -48 Note 14 No
Level Transmitter(LZA) (K3B) 3.5 150 9.89 17.63 1.37 150 -48 Note 15 No
Level Transmitter(LZA) (K4A) 3.5 150 10 17.63 1.37 150 -48 Note 14 No
Level Transmitter(LZA) (K4B) 3.5 150 9.89 17.63 1.37 150 -48 Note 15 No
Level Transmitter(LZA) (K5A) 3.5 150 10 17.63 1.37 150 -48 Note 14 No
Level Transmitter(LZA) (K5B) 3.5 150 9.89 17.63 1.37 150 -48 Note 15 No
Level Transmitter(LZA) (K6A) 3.5 150 10 17.63 1.37 150 -48 Note 14 No
Level Transmitter(LZA) (K6B) 3.5 150 9.89 17.63 1.37 150 -48 Note 15 No
Acid Gas Inlet (N1) 3.5 150 5.69 15.71 1.37 150 -48 Nozzle Note 16 No
Pad Note 17 No
Acid Gas Outlet (N2) 3.5 150 8.86 15.76 1.37 150 -48 Nozzle Note 18 No
Pad Note 19 No
Vent (N3) 3.5 150 7.48 16.78 1.37 150 -48 Note 20 No
Sour Water Outlet (N4) 3.5 150 8.09 16.78 1.37 150 -48 Nozzle Note 21 No
Pad Note 22 No
Drain (N5) 3.5 150 15.02 19.6 1.37 150 -48 Note 23 No
Utility Nozzle/Steam Out (N6) 3.5 150 9.86 17.63 1.37 150 -48 Note 24 No
PSV (N7) 3.5 150 10.32 17.63 1.37 150 -48 Nozzle Note 25 No
Pad Note 26 No
Wash Water Inlet (N8) 3.5 150 10.28 17.63 1.37 150 -48 Note 27 No
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Chamber design MDMT is 15 °C Chamber rated MDMT is -48 °C @ 5.69 bar Chamber MAWP hot & corroded is 5.69 bar @ 150 °C Chamber MAP cold & new is 13.67 bar @ 25 °C Chamber MAEP is 1.03 bar @ 150 °C External pressure rating was governed by the vacuum ring Ring. Notes for MDMT Rating:
Note # Exemption Details
1.
Material impact test exemption temperature from Fig UCS-66M Curve D = -47.94 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 15.7 °C, (coincident ratio = 0.7201) Rated MDMT of -80.64°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 12.75 mm
2.
Material impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 27.3 °C, (coincident ratio = 0.5461) Rated MDMT of -89.43°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm
3.
Material impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 22.7 °C, (coincident ratio = 0.605) Rated MDMT of -84.83°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm
4.
Material impact test exemption temperature from Fig UCS-66M Curve D = -47.94 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 10.9 °C, (coincident ratio = 0.8046) Rated MDMT of -75.84°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 12.75 mm
5.
Material impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 22.7 °C, (coincident ratio = 0.6053) Rated MDMT of -84.83°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm
6. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1667).
7.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 25.8 °C, (coincident ratio = 0.564) Rated MDMT of -87.93°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
8. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1778).
9.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 23 °C, (coincident ratio = 0.6016) Rated MDMT of -85.13°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
10. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1108).
11.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 24.3 °C, (coincident ratio = 0.5837) Rated MDMT of -86.43°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
12. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.1218
13. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.1247
14. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.1222
15. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.1243
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Notes for MDMT Rating(Cont.)
16. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2447).
17.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 23.7 °C, (coincident ratio = 0.5913) Rated MDMT of -85.83°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
18.
Nozzle impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 19.9 °C, (coincident ratio = 0.6439) Rated MDMT of -82.03°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
19.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 19.9 °C, (coincident ratio = 0.6439) Rated MDMT of -82.03°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
20. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.2906
21.
Nozzle impact test exemption temperature from Fig UCS-66M Curve B = -20.41 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 15.1 °C, (coincident ratio = 0.7304) Rated MDMT of -52.51°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 13.34 mm.
22.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -47.21 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 15.1 °C, (coincident ratio = 0.7304) Rated MDMT of -79.31°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 13.34 mm.
23. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.3301
24. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.3259
25. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2313).
26.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 26.1 °C, (coincident ratio = 0.5608) Rated MDMT of -88.23°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
27. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.3042
Design notes are available on the Settings Summary page.
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Thickness Summary
Component Identifier Material Diameter
(mm) Length(mm)
Nominal t(mm)
Design t(mm)
Total Corrosion (mm)
Joint E Load
Top Head SA-516 60 1,990 ID 510.25 12.75* 11.18 6 1.00 External
Straight Flange on Top Head SA-516 60 1,990 ID 38 15 14.11 6 1.00 External
Shell SA-516 60 1,990 ID 6,424 15 14.11 6 1.00 External
Straight Flange on Bottom Head SA-516 60 1,990 ID 38 15 14.11 6 1.00 External
Bottom Head SA-516 60 1,990 ID 510.25 12.75* 11.18 6 1.00 External
Support Skirt 1 SA-516 60 2,020 OD 670 10 4.36 3 0.55 Wind
Support Skirt 2 SA-283 C 2,020 OD 1,500 10 4.68 3 0.55 Wind
Support Skirt 3 SA-283 C 2,020 OD 1,500 10 5.05 3 0.55 Wind
Support Skirt 4 SA-283 C 2,020 OD 1,500 10 5.48 3 0.55 Wind
Support Skirt 5 SA-283 C 2,020 OD 1,094 10 5.81 3 0.55 Wind
Support Skirt 6 SA-516 60 2,020 OD 1,512 10 5.99 3 0.55 Wind
Nominal t: Vessel wall nominal thickness
Design t: Required vessel thickness due to governing loading + corrosion
Joint E: Longitudinal seam joint efficiency
* Head minimum thickness after forming
Load
internal: Circumferential stress due to internal pressure governs
external: External pressure governs
Wind: Combined longitudinal stress of pressure + weight + wind governs
Seismic: Combined longitudinal stress of pressure + weight + seismic governs
V-8601 10
Hydrostatic Test Shop test pressure determination for Chamber bounded by Bottom Head and Top Head based on MAP per UG-99(c) Shop hydrostatic test gauge pressure is 17.52 bar at 25 °C The shop test is performed with the vessel in the horizontal position.
Identifier MAP bar
Test pressure
bar
Test liquidstatic head
bar
UG-99(c)pressure
factor
Stress during test
kgf/cm2
Allowable test stress
kgf/cm2
Stress excessive?
Top Head 15.1 17.74 0.22 1.30 1,270.728 2,028.214 No
Straight Flange on Top Head 17.63 17.74 0.22 1.30 1,209.155 2,028.214 No
Shell 17.63 17.74 0.22 1.30 1,209.155 2,028.214 No
Straight Flange on Bottom Head 17.63 17.74 0.22 1.30 1,209.155 2,028.214 No
Bottom Head 15.1 17.74 0.22 1.30 1,270.728 2,028.214 No
Acid Gas Inlet (N1) 15.71 17.66 0.14 1.30 1,362.749 3,028.555 No
Acid Gas Outlet (N2) 15.76 17.66 0.14 1.30 1,227.682 3,028.555 No
Drain (N5) 19.6 17.64 0.12 1.30 57.678 3,303.878 No
Level Gauge (LG) (K1A) 17.63 17.55 0.03 1.30 1,366.585 3,028.555 No
Level Gauge (LG) (K1B) 17.63 17.55 0.03 1.30 1,366.585 3,028.555 No
Level Transmitter(LICA) (K2A) 17.63 17.6 0.07 1.30 1,296.802 3,028.555 No
Level Transmitter(LICA) (K2B) 17.63 17.6 0.07 1.30 1,296.802 3,028.555 No
Level Transmitter(LZA) (K3A) 17.63 17.58 0.05 1.30 1,295.276 3,028.555 No
Level Transmitter(LZA) (K3B) 17.63 17.58 0.05 1.30 1,295.276 3,028.555 No
Level Transmitter(LZA) (K4A) 17.63 17.56 0.04 1.30 1,294.097 3,028.555 No
Level Transmitter(LZA) (K4B) 17.63 17.56 0.04 1.30 1,294.097 3,028.555 No
Level Transmitter(LZA) (K5A) 17.63 17.55 0.03 1.30 1,293.346 3,028.555 No
Level Transmitter(LZA) (K5B) 17.63 17.55 0.03 1.30 1,293.346 3,028.555 No
Level Transmitter(LZA) (K6A) 17.63 17.55 0.02 1.30 1,293.073 3,028.555 No
Level Transmitter(LZA) (K6B) 17.63 17.55 0.02 1.30 1,293.073 3,028.555 No
Manway (A1) 13.67 17.78 0.25 1.30 1,953.23 3,028.555 No
Manway (A2) (2) 13.67 17.78 0.25 1.30 1,953.23 3,028.555 No
PSV (N7) 17.63 17.74 0.21 1.30 713.246 3,028.555 No
Packing Unloading (H1) 14.67 17.66 0.14 1.30 1,519.794 3,028.555 No
Sour Water Outlet (N4) 16.78 17.65 0.13 1.30 656.048 3,028.555 No
Utility Nozzle/Steam Out (N6) 17.63 17.71 0.19 1.30 1,323.781 3,028.555 No
Vent (N3) 16.78 17.65 0.12 1.30 1,253.869 3,028.555 No
Wash Water Inlet (N8) 17.63 17.65 0.12 1.30 1,319.203 3,028.555 No
Notes: (1) PL stresses at nozzle openings have been estimated using the method described in PVP-Vol. 399, pages 77-82. (2) Manway (A2) is the component that determines the test pressure. (3) 1.5*0.9*Sy used as the basis for the maximum local primary membrane stress at the nozzle intersection PL. (4) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-most flange. The test temperature of 25 °C is warmer than the minimum recommended temperature of -0.78 °C so the brittle fracture provision of UG-99(h) has been met. NOTE: Figure UCS 66.2 general note (6) has been applied.
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Corroded Hydrostatic Test Field test pressure determination for Chamber bounded by Bottom Head and Top Head based on MAWP per UG-99(b) Field hydrostatic test gauge pressure is 7.4 bar at 25 °C (the chamber MAWP = 5.69 bar) The field test is performed with the vessel in the vertical position.
Identifier Local test pressure
bar
Test liquidstatic head
bar
UG-99(b)stress ratio
UG-99(b)pressure
factor
Stress during test
kgf/cm2
Allowable test stress
kgf/cm2
Stress excessive?
Top Head (1) 7.49 0.08 1 1.30 1,018.66 2,028.214 No
Straight Flange on Top Head 7.49 0.08 1 1.30 852.711 2,028.214 No
Shell 8.11 0.71 1 1.30 924.416 2,028.214 No
Straight Flange on Bottom Head 8.12 0.72 1 1.30 924.84 2,028.214 No
Bottom Head 8.17 0.77 1 1.30 1,111.542 2,028.214 No
Acid Gas Inlet (N1) 7.97 0.57 1 1.30 741.287 3,028.555 No
Acid Gas Outlet (N2) 7.43 0.03 1 1.30 641.961 3,028.555 No
Drain (N5) 8.19 0.79 1 1.30 51.837 3,303.878 No
Level Gauge (LG) (K1A) 7.94 0.54 1 1.30 1,171.797 3,028.555 No
Level Gauge (LG) (K1B) 8.09 0.69 1 1.30 1,194.211 3,028.555 No
Level Transmitter(LICA) (K2A) 7.96 0.56 1 1.30 1,069.445 3,028.555 No
Level Transmitter(LICA) (K2B) 8.07 0.67 1 1.30 1,083.918 3,028.555 No
Level Transmitter(LZA) (K3A) 7.96 0.56 1 1.30 1,069.445 3,028.555 No
Level Transmitter(LZA) (K3B) 8.07 0.67 1 1.30 1,083.918 3,028.555 No
Level Transmitter(LZA) (K4A) 7.96 0.56 1 1.30 1,069.445 3,028.555 No
Level Transmitter(LZA) (K4B) 8.07 0.67 1 1.30 1,083.918 3,028.555 No
Level Transmitter(LZA) (K5A) 7.96 0.56 1 1.30 1,069.445 3,028.555 No
Level Transmitter(LZA) (K5B) 8.07 0.67 1 1.30 1,083.918 3,028.555 No
Level Transmitter(LZA) (K6A) 7.96 0.56 1 1.30 1,069.445 3,028.555 No
Level Transmitter(LZA) (K6B) 8.07 0.67 1 1.30 1,083.918 3,028.555 No
Manway (A1) 7.68 0.27 1 1.30 1,388.579 3,028.555 No
Manway (A2) 8.08 0.68 1 1.30 1,461.241 3,028.555 No
PSV (N7) 7.64 0.24 1 1.30 325.065 3,028.555 No
Packing Unloading (H1) 7.89 0.49 1 1.30 921.44 3,028.555 No
Sour Water Outlet (N4) 8.21 0.81 1 1.30 344.13 3,028.555 No
Utility Nozzle/Steam Out (N6) 8.11 0.7 1 1.30 1,098.71 3,028.555 No
Vent (N3) 7.44 0.03 1 1.30 1,056.665 3,028.555 No
Wash Water Inlet (N8) 7.68 0.27 1 1.30 1,040.276 3,028.555 No
Notes: (1) Top Head limits the UG-99(b) stress ratio. (2) PL stresses at nozzle openings have been estimated using the method described in PVP-Vol. 399, pages 77-82. (3) 1.5*0.9*Sy used as the basis for the maximum local primary membrane stress at the nozzle intersection PL. The test temperature of 25 °C is warmer than the minimum recommended temperature of -31 °C so the brittle fracture provision of UG-99(h) has been met.
V-8601 12
Wind Code Building Code:
ASCE 7-10
Elevation of base above grade: 0.0000 ft (0.0000 m)
Increase effective outer diameter by: 0.0000 ft (0.0000 m)
Wind Force Coefficient Cf: 0.8000
Risk Category (Table 1.5-1): II
Basic Wind Speed:, V: 89.4775 mph (144.0000 km/h)
Exposure category: C
Wind Directionality Factor, Kd: 1.0000
Top Deflection Limit: 5 mm per m.
Topographic Factor, Kzt: 1.0000
Enforce min. loading of 0.77 kPa: Yes Vessel Characteristics
Vessel height, h: 48.7194 ft (14.8497 m)
Vessel Minimum Diameter, b
Operating, Corroded: 7.0866 ft (2.1600 m)
Empty, Corroded: 7.0866 ft (2.1600 m)
Hydrotest, New, field: 7.0866 ft (2.1600 m)
Hydrotest, Corroded, field: 7.0866 ft (2.1600 m)
Fundamental Frequency, n1
Operating, Corroded: 2.5180 Hz
Empty, Corroded: 4.0279 Hz
Hydrotest, New, field: 3.1342 Hz
Hydrotest, Corroded, field: 2.7039 Hz
Vacuum, Corroded: 2.5180 Hz
Damping coefficient, b
Operating, Corroded: 0.0258
Empty, Corroded: 0.0210
Hydrotest, New, field: 0.0260
Hydrotest, Corroded, field: 0.0260
Vacuum, Corroded: 0.0258 Vortex Shedding Calculations Table Lookup Values 2.4.1 Basic Load Combinations for Allowable Stress Design The following load combinations are considered in accordance with ASCE section 2.4.1: 5. D + P + Ps + 0.6W
7. 0.6D + P + Ps + 0.6W
Where
D = Dead load
P = Internal or external pressure load
Ps = Static head load
W = Wind load
V-8601 13
Wind Deflection Reports: Operating, Corroded Empty, Corroded Vacuum, Corroded Hydrotest, New, field Hydrotest, Corroded, field Operating, Corroded,Vortex Shedding Empty, Corroded, Vortex Shedding Vacuum, Corroded, Vortex Shedding Wind Pressure Calculations Wind Pressures at Critical Speed: Operating, Corroded Wind Pressures at Critical Speed: Empty, Corroded Wind Pressures at Critical Speed: Vacuum, Corroded Wind Deflection Report: Operating, Corroded
Component
Elevation of bottom above
base (mm)
Effective OD (m)
Elastic modulus
E (kg/cm²)
InertiaI (m4)
Platform wind shear
at Bottom
(kgf)
Total wind shear at Bottom
(kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 1,988,447.9 * 0 45 12.8 1.51
Shell 7,877.41 2.16 1,988,447.9 0.02875 0 695.4 3,428.8 1.43
Bottom Head (top) 7,776 2.16 1,988,447.9 * 0 705.6 3,499.8 0.58
Support Skirt 1 7,106 2.02 2,059,828.1 0.02232 0 769 3,992.1 0.56
Support Skirt 2 5,606 2.02 2,059,828.1 0.02232 0 910.8 5,251.9 0.48
Support Skirt 3 4,106 2.02 2,059,828.1 0.02232 0 1,052.6 6,724.5 0.32
Support Skirt 4 2,606 2.02 2,059,828.1 0.02232 0 1,194.4 8,409.7 0.18
Support Skirt 5 1,512 2.02 2,059,828.1 0.02232 0 1,297.8 9,773 0.08
Support Skirt 6 0 2.02 2,059,828.1 0.02232 0 1,440.8 11,843.4 0.03
*Moment of Inertia I varies over the length of the component
Wind Deflection Report: Empty, Corroded
Component
Elevation of bottom above
base (mm)
Effective OD (m)
Elastic modulus
E (kg/cm²)
InertiaI (m4)
Platform wind shear
at Bottom
(kgf)
Total wind shear at Bottom
(kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 2,062,603.9 * 0 45 12.8 1.5
Shell 7,877.41 2.16 2,062,603.9 0.02875 0 695.4 3,428.8 1.43
Bottom Head (top) 7,776 2.16 2,062,603.9 * 0 705.6 3,499.8 0.58
Support Skirt 1 7,106 2.02 2,062,603.9 0.02232 0 769 3,992.1 0.56
Support Skirt 2 5,606 2.02 2,062,603.9 0.02232 0 910.8 5,251.9 0.48
Support Skirt 3 4,106 2.02 2,062,603.9 0.02232 0 1,052.6 6,724.5 0.32
Support Skirt 4 2,606 2.02 2,062,603.9 0.02232 0 1,194.4 8,409.7 0.18
Support Skirt 5 1,512 2.02 2,062,603.9 0.02232 0 1,297.8 9,773 0.08
Support Skirt 6 0 2.02 2,062,603.9 0.02232 0 1,440.8 11,843.4 0.03
*Moment of Inertia I varies over the length of the component
V-8601 14
Wind Deflection Report: Vacuum, Corroded
Component
Elevation of bottom above
base (mm)
Effective OD (m)
Elastic modulus
E (kg/cm²)
InertiaI (m4)
Platform wind shear
at Bottom
(kgf)
Total wind shear at Bottom
(kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 1,988,447.9 * 0 45 12.8 1.51
Shell 7,877.41 2.16 1,988,447.9 0.02875 0 695.4 3,428.8 1.43
Bottom Head (top) 7,776 2.16 1,988,447.9 * 0 705.6 3,499.8 0.58
Support Skirt 1 7,106 2.02 2,059,828.1 0.02232 0 769 3,992.1 0.56
Support Skirt 2 5,606 2.02 2,059,828.1 0.02232 0 910.8 5,251.9 0.48
Support Skirt 3 4,106 2.02 2,059,828.1 0.02232 0 1,052.6 6,724.5 0.32
Support Skirt 4 2,606 2.02 2,059,828.1 0.02232 0 1,194.4 8,409.7 0.18
Support Skirt 5 1,512 2.02 2,059,828.1 0.02232 0 1,297.8 9,773 0.08
Support Skirt 6 0 2.02 2,059,828.1 0.02232 0 1,440.8 11,843.4 0.03
*Moment of Inertia I varies over the length of the component
Wind Deflection Report: Hydrotest, New, field
Component
Elevation of bottom above
base (mm)
Effective OD (m)
Elastic modulus
E (kg/cm²)
InertiaI (m4)
Platform wind shear
at Bottom
(kgf)
Total wind shear at Bottom
(kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 2,059,828.1 * 0 45 13.8 1.05
Shell 7,877.41 2.16 2,059,828.1 0.04748 0 695.4 3,478.9 1
Bottom Head (top) 7,776 2.16 2,059,828.1 * 0 705.6 3,550 0.41
Support Skirt 1 7,106 2.02 2,059,828.1 0.03189 0 769.1 4,041.9 0.4
Support Skirt 2 5,606 2.02 2,059,828.1 0.03189 0 911.1 5,302 0.34
Support Skirt 3 4,106 2.02 2,059,828.1 0.03189 0 1,053.1 6,775.2 0.23
Support Skirt 4 2,606 2.02 2,059,828.1 0.03189 0 1,195.1 8,461.4 0.13
Support Skirt 5 1,512 2.02 2,059,828.1 0.03189 0 1,298.7 9,825.5 0.06
Support Skirt 6 0 2.02 2,059,828.1 0.03189 0 1,441.9 11,897.4 0.02
*Moment of Inertia I varies over the length of the component
V-8601 15
Wind Deflection Report: Hydrotest, Corroded, field
Component
Elevation of bottom above
base (mm)
Effective OD (m)
Elastic modulus
E (kg/cm²)
InertiaI (m4)
Platform wind shear
at Bottom
(kgf)
Total wind shear at Bottom
(kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 2,059,828.1 * 0 45 12.8 1.5
Shell 7,877.41 2.16 2,059,828.1 0.02875 0 695.4 3,428.8 1.43
Bottom Head (top) 7,776 2.16 2,059,828.1 * 0 705.6 3,499.8 0.58
Support Skirt 1 7,106 2.02 2,059,828.1 0.02232 0 769 3,992.1 0.56
Support Skirt 2 5,606 2.02 2,059,828.1 0.02232 0 910.8 5,251.9 0.48
Support Skirt 3 4,106 2.02 2,059,828.1 0.02232 0 1,052.6 6,724.5 0.32
Support Skirt 4 2,606 2.02 2,059,828.1 0.02232 0 1,194.4 8,409.7 0.18
Support Skirt 5 1,512 2.02 2,059,828.1 0.02232 0 1,297.8 9,773 0.08
Support Skirt 6 0 2.02 2,059,828.1 0.02232 0 1,440.8 11,843.4 0.03
*Moment of Inertia I varies over the length of the component
Wind Deflection Report: Operating, Corroded, Vortex Shedding
Component
Elevation of bottom above
base (mm)
Effective OD (m)
Elastic modulus
E (kg/cm²)
InertiaI (m4)
Platform wind shear
at Bottom
(kgf)
Total wind shear at Bottom
(kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 1,988,447.9 * 0 197.4 55.9 3.82
Shell 7,877.41 2.16 1,988,447.9 0.02875 0 2,002.9 9,336.1 3.63
Bottom Head (top) 7,776 2.16 1,988,447.9 * 0 2,013.2 9,539.7 1.44
Support Skirt 1 7,106 2.02 2,059,828.1 0.02232 0 2,076.5 10,908 1.41
Support Skirt 2 5,606 2.02 2,059,828.1 0.02232 0 2,218.3 14,129.1 1.2
Support Skirt 3 4,106 2.02 2,059,828.1 0.02232 0 2,360.1 17,563 0.79
Support Skirt 4 2,606 2.02 2,059,828.1 0.02232 0 2,501.9 21,209.5 0.45
Support Skirt 5 1,512 2.02 2,059,828.1 0.02232 0 2,605.4 24,003.2 0.19
Support Skirt 6 0 2.02 2,059,828.1 0.02232 0 2,748.3 28,050.6 0.07
*Moment of Inertia I varies over the length of the component
V-8601 16
Wind Deflection Report: Empty, Corroded, Vortex Shedding
Component
Elevation of bottom above
base (mm)
Effective OD (m)
Elastic modulus
E (kg/cm²)
InertiaI (m4)
Platform wind shear
at Bottom
(kgf)
Total wind shear at Bottom
(kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 2,062,603.9 * 0 556.3 154.6 9.49
Shell 7,877.41 2.16 2,062,603.9 0.02875 0 5,223.5 23,842.6 9.01
Bottom Head (top) 7,776 2.16 2,062,603.9 * 0 5,233.7 24,372.9 3.55
Support Skirt 1 7,106 2.02 2,062,603.9 0.02232 0 5,297.1 27,899 3.48
Support Skirt 2 5,606 2.02 2,062,603.9 0.02232 0 5,438.9 35,950.9 2.97
Support Skirt 3 4,106 2.02 2,062,603.9 0.02232 0 5,580.7 44,215.6 1.95
Support Skirt 4 2,606 2.02 2,062,603.9 0.02232 0 5,722.5 52,693 1.1
Support Skirt 5 1,512 2.02 2,062,603.9 0.02232 0 5,825.9 59,010 0.46
Support Skirt 6 0 2.02 2,062,603.9 0.02232 0 5,968.9 67,926.8 0.16
*Moment of Inertia I varies over the length of the component
Wind Deflection Report: Vacuum, Corroded, Vortex Shedding
Component
Elevation of bottom above
base (mm)
Effective OD (m)
Elastic modulus
E (kg/cm²)
InertiaI (m4)
Platform wind shear
at Bottom
(kgf)
Total wind shear at Bottom
(kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 1,988,447.9 * 0 197.4 55.9 3.82
Shell 7,877.41 2.16 1,988,447.9 0.02875 0 2,002.9 9,336.1 3.63
Bottom Head (top) 7,776 2.16 1,988,447.9 * 0 2,013.2 9,539.7 1.44
Support Skirt 1 7,106 2.02 2,059,828.1 0.02232 0 2,076.5 10,908 1.41
Support Skirt 2 5,606 2.02 2,059,828.1 0.02232 0 2,218.3 14,129.1 1.2
Support Skirt 3 4,106 2.02 2,059,828.1 0.02232 0 2,360.1 17,563 0.79
Support Skirt 4 2,606 2.02 2,059,828.1 0.02232 0 2,501.9 21,209.5 0.45
Support Skirt 5 1,512 2.02 2,059,828.1 0.02232 0 2,605.4 24,003.2 0.19
Support Skirt 6 0 2.02 2,059,828.1 0.02232 0 2,748.3 28,050.6 0.07
*Moment of Inertia I varies over the length of the component
Wind Pressure (WP) Calculations Gust Factor (G¯) Calculations Kz = 2.01 * (Z/Zg)2/α
= 2.01 * (Z/274.3200)0.2105 qz = 0.613 * Kz * Kzt * Kd * V2
= 0.613 * Kz * 1.0000 * 1.0000 * 40.00002 = 980.8002 * Kz
WP = 0.6 * qz * G * Cf (Minimum 0.0077 bar) = 0.6 * qz * G * 0.8000 (Minimum 0.0077 bar)
V-8601 17
Design Wind Pressures
Height Z (m) Kz qz
(bar) WP: Operating
(bar) WP: Empty
(bar) WP: Hydrotest New
(bar) WP: Hydrotest Corroded
(bar) WP: Vacuum
(bar)
4.6 0.8489 0.0083 0.0046 0.0046 0.0046 0.0046 0.0046
6.1 0.9019 0.0089 0.0046 0.0046 0.0046 0.0046 0.0046
7.6 0.9453 0.0093 0.0046 0.0046 0.0046 0.0046 0.0046
9.1 0.9823 0.0096 0.0046 0.0046 0.0046 0.0046 0.0046
12.2 1.0436 0.0102 0.0046 0.0046 0.0046 0.0046 0.0046
15.2 1.0938 0.0107 0.0046 0.0046 0.0046 0.0046 0.0046
Design Wind Force determined from: F = Pressure * Af , where Af is the projected area. Vortex Shedding Calculations Vortex shedding calculations are based on NBC 1995 building code, Structural Commentaries (Part 4). Average diameter of vessel (upper third): D = 6.4155 ft (1955.44 mm)
Aspect ratio: Ar = 7.5940
Vortex shedding factor, Operating, Corroded: C1 = 2.0668
Vortex shedding factor, Operating, Corroded: C2 = 0.6000
Vortex shedding factor, Empty, Corroded: C1 = 2.0668
Vortex shedding factor, Empty, Corroded: C2 = 0.6000
Vortex shedding factor, Vacuum, Corroded: C1 = 2.0668
Vortex shedding factor, Vacuum, Corroded: C2 = 0.6000
Weight per foot of vessel, Operating, Corroded, (upper third): M = 3,582.5403 lb/ft (53.3141 kg/cm)
Strouhal number, Operating, Corroded: S = 0.2000
Weight per foot of vessel, Empty, Corroded, (upper third): M = 1,562.0673 lb/ft (23.2461 kg/cm)
Strouhal number, Empty, Corroded: S = 0.2000
Weight per foot of vessel, Vacuum, Corroded, (upper third): M = 3,582.5403 lb/ft (53.3141 kg/cm)
Strouhal number, Vacuum, Corroded: S = 0.2000 Critical wind speed at top of vessel, Vh = (n*D/S)*(3600/5280) mph Operating, Corroded: Vh = (2.5180*6.4155/0.2000)*(3600/5280) = 55.0710 mph (88.6283 km/h)
Empty, Corroded: Vh = (4.0279*6.4155/0.2000)*(3600/5280) = 88.0944 mph (141.7741 km/h)
Vacuum, Corroded: Vh = (2.5180*6.4155/0.2000)*(3600/5280) = 55.0710 mph (88.6283 km/h) Reference wind speed corresponding to critical wind speed, VRef Operating, Corroded: VRef = 52.8584 mph (85.0674 km/h)
Empty, Corroded: VRef = 84.5549 mph (136.0779 km/h)
Vacuum, Corroded: VRef = 52.8584 mph (85.0674 km/h) Corresponding reference wind speed, VRef Operating, Corroded: VRef = 89.4775 mph (144.0000 km/h)
Empty, Corroded: VRef = 89.4775 mph (144.0000 km/h)
Vacuum, Corroded: VRef = 89.4775 mph (144.0000 km/h) Corresponding pressure at top of vessel, qh = 0.00256 * Vh
2 Operating, Corroded: qh = 0.00256 * (55.0710)2 = 7.7640 psf (0 bar)
Empty, Corroded: qh = 0.00256 * (88.0944)2 = 19.8672 psf (0.01 bar)
Vacuum, Corroded: qh = 0.00256 * (55.0710)2 = 7.7640 psf (0 bar)
V-8601 18
Equivalent static loading, FL = qh*C1*D / (SQR(Ar)*SQR(b - (C2*R0*D2/M))) Operating, Corroded: FL = 7.7640*2.0668*6.4155 / (SQR(7.5940)*SQR(0.0258 - (0.6000*0.0765*(6.4155)2/3,582.5403)))
= 235.2119 lb/ft (3.5003 kg/cm)
Empty, Corroded: FL = 19.8672*2.0668*6.4155 / (SQR(7.5940)*SQR(0.0210 - (0.6000*0.0765*(6.4155)2/1,562.0673)))
= 679.5112 lb/ft (10.1122 kg/cm)
Vacuum, Corroded: FL = 7.7640*2.0668*6.4155 / (SQR(7.5940)*SQR(0.0258 - (0.6000*0.0765*(6.4155)2/3,582.5403)))
= 235.2119 lb/ft (3.5003 kg/cm) Static loading FL is applied throughout the top third of the vessel Wind Pressures at Critical Wind Speed: Operating, Corroded (Vh = 24.6190 m/sec) Kz = 2.01 * (Z/Zg)2/α
= 2.01 * (Z/274.3200)0.2105 qz = 0.613 * Kz * Kd * Kzt * Vh2 * I
= 0.613 * Kz * 1.0000 * 1.0000 * (24.6190)2 * 1.0000 = 371.5352 * Kz
WP = qz * G¯ * Cf = qz * 0.8891 * 0.8000
Height Z(m) Kz qz(bar) WP(bar)
4.6 0.8489 0.0032 0.0013
6.1 0.9019 0.0034 0.0014
7.6 0.9453 0.0035 0.0015
9.1 0.9823 0.0037 0.0016
12.2 1.0436 0.0039 0.0017
15.2 1.0938 0.0041 0.0017
Wind Pressures at Critical Wind Speed: Empty, Corroded (Vh = 39.3817 m/sec) Kz = 2.01 * (Z/Zg)2/α
= 2.01 * (Z/274.3200)0.2105 qz = 0.613 * Kz * Kd * Kzt * Vh2 * I
= 0.613 * Kz * 1.0000 * 1.0000 * (39.3817)2 * 1.0000 = 950.7130 * Kz
WP = qz * G¯ * Cf = qz * 0.8891 * 0.8000
Height Z(m) Kz qz(bar) WP(bar)
4.6 0.8489 0.0081 0.0034
6.1 0.9019 0.0086 0.0037
7.6 0.9453 0.0090 0.0038
9.1 0.9823 0.0093 0.0040
12.2 1.0436 0.0099 0.0042
15.2 1.0938 0.0104 0.0044
V-8601 19
Wind Pressures at Critical Wind Speed: Vacuum, Corroded (Vh = 24.6190 m/sec) Kz = 2.01 * (Z/Zg)2/α
= 2.01 * (Z/274.3200)0.2105 qz = 0.613 * Kz * Kd * Kzt * Vh2* I
= 0.613 * Kz * 1.0000 * 1.0000 * (24.6190)2 * 1.0000 = 371.5352 * Kz
WP = qz * G¯ * Cf
= qz * 0.8891 * 0.8000
Height Z(m) Kz qz(bar) WP(bar)
4.6 0.8489 0.0032 0.0013
6.1 0.9019 0.0034 0.0014
7.6 0.9453 0.0035 0.0015
9.1 0.9823 0.0037 0.0016
12.2 1.0436 0.0039 0.0017
15.2 1.0938 0.0041 0.0017
Gust Factor Calculations Operating, Corroded Empty, Corroded Vacuum, Corroded Hydrotest, New, field Hydrotest, Corroded, field Operating, Corroded, Vortex Shedding Empty, Corroded, Vortex Shedding Vacuum, Corroded, Vortex Shedding Gust Factor Calculations: Operating, Corroded Vessel is considered a rigid structure as n1 = 2.5180 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
Gust Factor Calculations: Empty, Corroded Vessel is considered a rigid structure as n1 = 4.0279 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
V-8601 20
Lz¯
= l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
Gust Factor Calculations: Vacuum, Corroded Vessel is considered a rigid structure as n1 = 2.5180 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
Gust Factor Calculations: Hydrotest, New, field Vessel is considered a rigid structure as n1 = 3.1342 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
Gust Factor Calculations: Hydrotest, Corroded, field Vessel is considered a rigid structure as n1 = 2.7039 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
V-8601 21
Lz¯
= l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
Gust Factor Calculations: Operating, Corroded, Vortex Shedding Vessel is considered a rigid structure as n1 = 2.5180 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
Gust Factor Calculations: Empty, Corroded, Vortex Shedding Vessel is considered a rigid structure as n1 = 4.0279 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
V-8601 22
Gust Factor Calculations: Vacuum, Corroded, Vortex Shedding Vessel is considered a rigid structure as n1 = 2.5180 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
Table Lookup Values α = 9.5000, zg = 274.3200 m [Table 26.9-1, page 256] c = 0.2000, l = 500.0000, ep = 0.2000 [Table 26.9-1, page 256] a¯ = 0.1538, b¯ = 0.6500 [Table 26.9-1, page 256] zmin = 15.0000 ft [Table 26.9-1, page 256] gQ = 3.40 [26.9.4 page 254] gv = 3.40 [26.9.4 page 254]
V-8601 23
Liquid Level bounded by Top Head Location from datum
7,308 mm
Operating Liquid Specific Gravity 0.987
V-8601 24
Shell ASME Section VIII Division 1, 2010 Edition Metric Component: CylinderMaterial specification: SA-516 60 (II-D Metric p. 10, ln. 27)Material impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 22.7 °C, (coincident ratio = 0.605) Rated MDMT of -84.83°C is limited to -48°C by UCS-66(b)(2) UCS-66 governing thickness = 15 mm Internal design pressure: P = 3.5 bar @ 150 °C External design pressure: Pe = 1.03 bar @ 150 °C Static liquid head: Ps = 0.7 bar (SG = 0.987, Hs = 7,270 mm,Operating head)Pth = 0.22 bar (SG = 1, Hs = 2,250 mm, Horizontal test head)Ptv = 0.71 bar (SG = 1, Hs = 7,270 mm, Vertical test head)Corrosion allowance Inner C = 6 mm Outer C = 0 mmDesign MDMT = 15 °C No impact test performedRated MDMT = -48 °C Material is normalized
Material is not produced to Fine Grain PracticePWHT is performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1Top circumferential joint - Full UW-11(a) Type 1Bottom circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 4,662.3 kg corr = 2,806.1 kg Capacity New = 19,980.28 liters corr = 20,221.96 litersID = 1,990 mmLength Lc = 6,424 mmt = 15 mm Insulation thk: 70 mm density: 1,000 kg/m3 Weight: 2,952.6 kg
Insulation Support Spacing: 400 mm Individual Support Weight: 40 kg Total Support
Weight: 640 kg
Design thickness, (at 150 °C) UG-27(c)(1) t = P*R / (S*E - 0.60*P) + Corrosion
= 4.2*1,001 / (1,180*1.00 - 0.60*4.2) + 6 = 9.57 mm
Maximum allowable working pressure, (at 150 °C) UG-27(c)(1) P = S*E*t / (R + 0.60*t) - Ps
= 1,180*1.00*9 / (1,001 + 0.60*9) - 0.7= 9.85 bar
Maximum allowable pressure, (at 25 °C) UG-27(c)(1) P = S*E*t / (R + 0.60*t)
= 1,180*1.00*15 / (995 + 0.60*15)= 17.63 bar
External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 3,417.83 / 2,020 = 1.6920 Do / t = 2,020 / 8.11 = 249.0293From table G: A = 0.000195 From table CS-2 Metric: B = 196.9709 kg/cm2 (193.16 bar)Pa = 4*B / (3*(Do / t))
= 4*193.16 / (3*(2,020 / 8.11)) = 1.03 bar
Design thickness for external pressure Pa = 1.03 bar ta = t + Corrosion = 8.11 + 6 = 14.11 mm
V-8601 25
Maximum Allowable External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 3,417.83 / 2,020 = 1.6920 Do / t = 2,020 / 9 = 224.4315From table G: A = 0.000233 From table CS-2 Metric: B = 235.0941 kg/cm2 (230.548 bar)Pa = 4*B / (3*(Do / t))
= 4*230.55 / (3*(2,020 / 9))= 1.37 bar
% Extreme fiber elongation - UCS-79(d) EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*15 / 1,002.5)*(1 - 1,002.5 / ∞) = 0.7481%
The extreme fiber elongation does not exceed 5%. External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104) Pv = W / (2*π*Rm) + M / (π*Rm
2)= 10*13,332.7 / (2*π*1,005.5) + 10000*3,428.8 / (π*1,005.52)= 31.8985 kg/cm
α = Pv / (Pe*Do) = 9.803*31.8985 / (1.03*2,020)= 0.1497
n = 4
m = 1.23 / (L / Do)2 = 1.23 / (3,417.83 / 2,020)2 = 0.4296
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (42 - 1 + 0.4296 + 0.4296*0.1497) / (42 - 1 + 0.4296)= 1.0042
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory. Design thickness = 14.11 mm The governing condition is due to external pressure. The cylinder thickness of 15 mm is adequate.
V-8601 26
Thickness Required Due to Pressure + External Loads
Condition Pressure P ( bar)
Allowable Stress Before UG-23 Stress Increase (
kg/cm2) Temperature (
°C) Corrosion
C (mm) Load Req'd Thk
Due to Tension (mm)
Req'd Thk Due to Compression (mm)
St Sc
Operating, Hot & Corroded
3.5 1,203.3 891.3 150 6 Wind 1.22 1.02
Operating, Hot & New 3.5 1,203.3 1,028.6 150 0 Wind 1.2 0.98
Hot Shut Down, Corroded
0 1,203.3 891.3 150 6 Wind 0.02 0.3
Hot Shut Down, New 0 1,203.3 1,028.6 150 0 Wind 0.03 0.29
Empty, Corroded 0 1,203.3 891.3 21.11 6 Wind 0.02 0.3
Empty, New 0 1,203.3 1,028.6 21.11 0 Wind 0.03 0.29
Vacuum -1.03 1,203.3 891.3 150 6 Wind 0.51 0.79
Hot Shut Down, Corroded, Weight & Eccentric Moments Only
0 1,203.3 891.3 150 6 Weight 0.2 0.27
Operating, Hot & Corroded, Vortex Shedding
3.5 1,203.3 891.3 150 6 Wind 1.35 0.89
Empty, Cold & Corroded, Vortex Shedding
0 1,203.3 891.3 21.11 6 Wind 0.43 0.9
Vacuum, Vortex Shedding
-1.03 1,203.3 891.3 150 6 Wind 0.34 0.97
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScHC = min(B, S) = 891.3 kg/cm2 Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 15)= 0.001856
B = 1,028.6 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScHN = min(B, S) = 1,028.6 kg/cm2 Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 15)= 0.001856
B = 1,028.6 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScCN = min(B, S) = 1,028.6 kg/cm2
V-8601 27
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScCC = min(B, S) = 891.3 kg/cm2 Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScVC = min(B, S) = 891.3 kg/cm2 Operating, Hot & Corroded, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*1,001 / (2*1,180*1.20*1.00 + 0.40*|3.5|) = 1.24 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 3,428.8 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0.07 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0.09 mm
tt = tp + tm - tw (total required, tensile)= 1.24 + 0.07 - (0.09) = 1.22 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665 = 0.15 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0.07 + (0.15) - (1.24)| = 1.02 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(9 - 0.07 + (0.09)) / (1,001 - 0.40*(9 - 0.07 + (0.09)))= 25.59 bar
Operating, Hot & New, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*995 / (2*1,180*1.20*1.00 + 0.40*|3.5|) = 1.23 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 3,478.9 / (π*1,002.52*1,180*1.20*1.00) * 98066.5 = 0.08 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*15,501.1 / (2*π*1,002.5*1,180*1.20*1.00) * 98.0665= 0.1 mm
V-8601 28
tt = tp + tm - tw (total required, tensile)= 1.23 + 0.08 - (0.1) = 1.2 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 15,501.1 / (2*π*1,002.5*1,180*1.20*1.00) * 98.0665 = 0.17 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0.08 + (0.17) - (1.23)| = 0.98 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(15 - 0.08 + (0.1)) / (995 - 0.40*(15 - 0.08 + (0.1)))= 43.03 bar
Hot Shut Down, Corroded, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,428.8 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.1 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.1 - (0.12)| = 0.02 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.1 + (0.2) - (0) = 0.3 mm
Hot Shut Down, New, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,478.9 / (π*1,002.52*1,008.7*1.20) * 98066.5 = 0.09 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*15,501.1 / (2*π*1,002.5*1,008.7*1.20) * 98.0665= 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.09 - (0.12)| = 0.03 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 15,501.1 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.09 + (0.2) - (0) = 0.29 mm
V-8601 29
Empty, Corroded, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,428.8 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.1 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.1 - (0.12)| = 0.02 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.1 + (0.2) - (0) = 0.3 mm
Empty, New, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,478.9 / (π*1,002.52*1,008.7*1.20) * 98066.5 = 0.09 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*15,501.1 / (2*π*1,002.5*1,008.7*1.20) * 98.0665= 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.09 - (0.12)| = 0.03 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 15,501.1 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.09 + (0.2) - (0) = 0.29 mm
Vacuum, Wind, Bottom Seam tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*1,001 / (2*874.05*1.20 + 0.40*|1.03|) = -0.49 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 3,428.8 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.1 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.49 + 0.1 - (0.12)| = 0.51 mm
V-8601 30
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.1 + (0.2) - (-0.49) = 0.79 mm
Maximum Allowable External Pressure, Longitudinal Stress P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*874.05*1.20*(9 - 0.1 - 0.2) / (1,001 - 0.40*(9 - 0.1 - 0.2))= 18.3 bar
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 1,039.8 / (π*1,005.52*874.05*1.00) * 98066.5 = 0.04 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*874.05*1.00) * 98.0665 = 0.24 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.04 - (0.24)| = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.04 + (0.24) - (0) = 0.27 mm
Operating, Hot & Corroded, Vortex Shedding, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*1,001 / (2*1,180*1.20*1.00 + 0.40*|3.5|) = 1.24 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 9,336.1 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0.2 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0.09 mm
tt = tp + tm - tw (total required, tensile)= 1.24 + 0.2 - (0.09) = 1.35 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665 = 0.15 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0.2 + (0.15) - (1.24)| = 0.89 mm
V-8601 31
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(9 - 0.2 + (0.09)) / (1,001 - 0.40*(9 - 0.2 + (0.09)))= 25.23 bar
Empty, Cold & Corroded, Vortex Shedding, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 23,842.6 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0.52 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0.09 mm
tt = tp + tm - tw (total required, tensile)= 0 + 0.52 - (0.09) = 0.43 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 23,842.6 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.7 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.7 + (0.2) - (0) = 0.9 mm
Vacuum, Vortex Shedding, Wind, Bottom Seam tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*1,001 / (2*874.05*1.20 + 0.40*|1.03|) = -0.49 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 9,336.1 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.27 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.49 + 0.27 - (0.12)| = 0.34 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.27 + (0.2) - (-0.49) = 0.97 mm
Maximum Allowable External Pressure, Longitudinal Stress P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*874.05*1.20*(9 - 0.27 - 0.2) / (1,001 - 0.40*(9 - 0.27 - 0.2))= 17.93 bar
V-8601 32
Top Head ASME Section VIII, Division 1, 2010 Edition Metric Component: Ellipsoidal Head Material Specification: SA-516 60 (II-D Metric p.10, ln. 27)Material impact test exemption temperature from Fig UCS-66M Curve D = -47.94 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 15.7 °C, (coincident ratio = 0.7201) Rated MDMT of -80.64°C is limited to -48°C by UCS-66(b)(2) UCS-66 governing thickness = 12.75 mm Internal design pressure: P = 3.5 bar @ 150 °C External design pressure: Pe = 1.03 bar @ 150 °C Static liquid head: Ps= 0.08 bar (SG=0.987, Hs=808 mm Operating head) Pth= 0.22 bar (SG=1, Hs=2250 mm Horizontal test head) Ptv= 0.08 bar (SG=1, Hs=808 mm Vertical test head) Corrosion allowance: Inner C = 6 mm Outer C = 0 mmDesign MDMT = 15°C No impact test performed Rated MDMT = -48°C Material is normalized
Material is not produced to fine grain practice PWHT is performed Do not Optimize MDMT / Find MAWP
Radiography: Category A joints - Full UW-11(a) Type 1
Head to shell seam - Full UW-11(a) Type 1 Estimated weight*: new = 482.8 kg corr = 259.5 kg Capacity*: new = 1,149.8 liters corr = 1,176.3 liters* includes straight flange Inner diameter = 1990 mm Minimum head thickness = 12.75 mm Head ratio D/2h = 2 (new) Head ratio D/2h = 1.9881 (corroded)Straight flange length Lsf = 38 mm Nominal straight flange thickness tsf = 15 mm Insulation thk*: 70 mm density: 999.9998 kg/m3 weight: 343.7283 kg Insulation support ring spacing: 400 mm individual weight: 40 kg total weight: 40 kg * includes straight flange if applicable Results Summary The governing condition is external pressure. Minimum thickness per UG-16 = 1.5 mm + 6 mm = 7.5 mmDesign thickness due to internal pressure (t) = 9.01 mmDesign thickness due to external pressure (te) = 11.18 mmMaximum allowable working pressure (MAWP) = 7.94 barMaximum allowable pressure (MAP) = 15.1 barMaximum allowable external pressure (MAEP) = 1.76 bar K (Corroded) K
= (1/6)*[2 + (D / (2*h))2]
= (1/6)*[2 + (2,002 / (2*503.5))2] = 0.99208
K (New) K
= (1/6)*[2 + (D / (2*h))2]
= (1/6)*[2 + (1,990 / (2*497.5))2] = 1
Design thickness for internal pressure, (Corroded at 150 °C) Appendix 1-4(c) t = P*D*K / (2*S*E - 0.2*P) + Corrosion
= 3.58*2,002*0.99208 / (2*1,180*1 - 0.2*3.58) + 6= 9.01 mm
The head internal pressure design thickness is 9.01 mm.
V-8601 33
Maximum allowable working pressure, (Corroded at 150 °C) Appendix 1-4(c) P = 2*S*E*t / (K*D + 0.2*t) - Ps
= 2*1,180*1*6.75 / (0.99208*2,002 +0.2*6.75) - 0.08= 7.94 bar
The maximum allowable working pressure (MAWP) is 7.94 bar. Maximum allowable pressure, (New at 25 °C) Appendix 1-4(c) P = 2*S*E*t / (K*D + 0.2*t) - Ps
= 2*1,180*1*12.75 / (1*1,990 +0.2*12.75) - 0 = 15.1 bar
The maximum allowable pressure (MAP) is 15.1 bar. Design thickness for external pressure, (Corroded at 150 °C) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do
= 0.8888*2,015.5 = 1,791.29 mm
A = 0.125 / (Ro / t)
= 0.125 / (1,791.29 / 5.18) = 0.000361
From Table CS-2 Metric: B = 365.036 kgf/cm2 Pa = B / (Ro / t)
= 357.9783 / (1,791.29 / 5.18) = 1.0342 bar
t = 5.18 mm + Corrosion = 5.18 mm + 6 mm = 11.17 mmCheck the external pressure per UG-33(a)(1) Appendix 1-4(c) t = 1.67*Pe*D*K / (2*S*E - 0.2*1.67*Pe) + Corrosion
= 1.67*1.03*2,002*0.99208 / (2*1,180*1 - 0.2*1.67*1.03) + 6= 7.45 mm
The head external pressure design thickness (te) is 11.17 mm. Maximum Allowable External Pressure, (Corroded at 150 °C) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do
= 0.8888*2,015.5 = 1,791.29 mm
A = 0.125 / (Ro / t)
= 0.125 / (1,791.29 / 6.75) = 0.000471
From Table CS-2 Metric: B = 476.7578 kgf/cm2 Pa = B / (Ro / t)
= 467.5401 / (1,791.29 / 6.75) = 1.7619 bar
Check the Maximum External Pressure, UG-33(a)(1) Appendix 1-4(c) P = 2*S*E*t / ((K*D + 0.2*t)*1.67) - Ps2
= 2*1,180*1*6.75 / ((0.99208*2,002 +0.2*6.75)*1.67) - 0= 4.8 bar
The maximum allowable external pressure (MAEP) is 1.76 bar. % Extreme fiber elongation - UCS-79(d) EFE = (75*t / Rf)*(1 - Rf / Ro)
= (75*15 / 345.8)*(1 - 345.8 / ?) = 3.2533%
The extreme fiber elongation does not exceed 5%.
V-8601 34
Straight Flange on Top Head ASME Section VIII Division 1, 2010 Edition Metric Component: Straight FlangeMaterial specification: SA-516 60 (II-D Metric p. 10, ln. 27)Material impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 27.3 °C, (coincident ratio = 0.5461) Rated MDMT of -89.43°C is limited to -48°C by UCS-66(b)(2) UCS-66 governing thickness = 15 mm Internal design pressure: P = 3.5 bar @ 150 °C External design pressure: Pe = 1.03 bar @ 150 °C Static liquid head: Ps = 0.08 bar (SG = 0.987, Hs = 846 mm,Operating head)Pth = 0.22 bar (SG = 1, Hs = 2,250 mm, Horizontal test head)Ptv = 0.08 bar (SG = 1, Hs = 846 mm, Vertical test head)Corrosion allowance Inner C = 6 mm Outer C = 0 mmDesign MDMT = 15 °C No impact test performedRated MDMT = -48 °C Material is normalized
Material is not produced to Fine Grain PracticePWHT is performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1Circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 28.1 kg corr = 16.9 kg Capacity New = 118.19 liters corr = 119.62 liters ID = 1,990 mmLength Lc = 38 mm t = 15 mm Insulation thk: 70 mm density: 1,000 kg/m3 Weight: 0 kg Design thickness, (at 150 °C) UG-27(c)(1) t = P*R / (S*E - 0.60*P) + Corrosion
= 3.58*1,001 / (1,180*1.00 - 0.60*3.58) + 6 = 9.04 mm
Maximum allowable working pressure, (at 150 °C) UG-27(c)(1) P = S*E*t / (R + 0.60*t) - Ps
= 1,180*1.00*9 / (1,001 + 0.60*9) - 0.08 = 10.47 bar
Maximum allowable pressure, (at 25 °C) UG-27(c)(1) P = S*E*t / (R + 0.60*t)
= 1,180*1.00*15 / (995 + 0.60*15)= 17.63 bar
External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 3,417.83 / 2,020 = 1.6920 Do / t = 2,020 / 8.11 = 249.0293From table G: A = 0.000195 From table CS-2 Metric: B = 196.9709 kg/cm2 (193.16 bar)Pa = 4*B / (3*(Do / t))
= 4*193.16 / (3*(2,020 / 8.11)) = 1.03 bar
Design thickness for external pressure Pa = 1.03 bar ta = t + Corrosion = 8.11 + 6 = 14.11 mm Maximum Allowable External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 3,417.83 / 2,020 = 1.6920 Do / t = 2,020 / 9 = 224.4315From table G: A = 0.000233 From table CS-2 Metric: B = 235.0941 kg/cm2 (230.548 bar)Pa = 4*B / (3*(Do / t))
= 4*230.55 / (3*(2,020 / 9))= 1.37 bar
V-8601 35
% Extreme fiber elongation - UCS-79(d) EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*15 / 1,002.5)*(1 - 1,002.5 / ∞) = 0.7481%
The extreme fiber elongation does not exceed 5%. Design thickness = 14.11 mm The governing condition is due to external pressure. The cylinder thickness of 15 mm is adequate. Thickness Required Due to Pressure + External Loads
Condition Pressure P ( bar)
Allowable Stress Before UG-23 Stress Increase (
kg/cm2) Temperature (
°C) Corrosion
C (mm) Load Req'd Thk
Due to Tension (mm)
Req'd Thk Due to Compression (mm)
St Sc
Operating, Hot & Corroded
3.5 1,203.3 891.3 150 6 Wind 1.23 1.23
Operating, Hot & New 3.5 1,203.3 1,028.6 150 0 Wind 1.22 1.22
Hot Shut Down, Corroded
0 1,203.3 891.3 150 6 Wind 0.01 0.01
Hot Shut Down, New 0 1,203.3 1,028.6 150 0 Wind 0.01 0.01
Empty, Corroded 0 1,203.3 891.3 21.11 6 Wind 0.01 0.01
Empty, New 0 1,203.3 1,028.6 21.11 0 Wind 0.01 0.01
Vacuum -1.03 1,203.3 891.3 150 6 Wind 0.5 0.5
Hot Shut Down, Corroded, Weight & Eccentric Moments Only
0 1,203.3 891.3 150 6 Weight 0.01 0.01
Operating, Hot & Corroded, Vortex Shedding
3.5 1,203.3 891.3 150 6 Wind 1.23 1.23
Empty, Cold & Corroded, Vortex Shedding
0 1,203.3 891.3 21.11 6 Wind 0 0.01
Vacuum, Vortex Shedding
-1.03 1,203.3 891.3 150 6 Wind 0.5 0.5
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScHC = min(B, S) = 891.3 kg/cm2 Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 15)= 0.001856
B = 1,028.6 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScHN = min(B, S) = 1,028.6 kg/cm2
V-8601 36
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 15)= 0.001856
B = 1,028.6 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScCN = min(B, S) = 1,028.6 kg/cm2 Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScCC = min(B, S) = 891.3 kg/cm2 Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScVC = min(B, S) = 891.3 kg/cm2 Operating, Hot & Corroded, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*1,001 / (2*1,180*1.20*1.00 + 0.40*|3.5|) = 1.24 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 12.8 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0 mm
tt = tp + tm - tw (total required, tensile)= 1.24 + 0 - (0) = 1.23 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665 = 0.01 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0.01) - (1.24)| = 1.23 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(9 - 0 + (0)) / (1,001 - 0.40*(9 - 0 + (0)))= 25.57 bar
V-8601 37
Operating, Hot & New, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*995 / (2*1,180*1.20*1.00 + 0.40*|3.5|) = 1.23 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 13.8 / (π*1,002.52*1,180*1.20*1.00) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*902.5 / (2*π*1,002.5*1,180*1.20*1.00) * 98.0665= 0.01 mm
tt = tp + tm - tw (total required, tensile)= 1.23 + 0 - (0.01) = 1.22 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 902.5 / (2*π*1,002.5*1,180*1.20*1.00) * 98.0665 = 0.01 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0.01) - (1.23)| = 1.22 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(15 - 0 + (0.01)) / (995 - 0.40*(15 - 0 + (0.01)))= 42.97 bar
Hot Shut Down, Corroded, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 12.8 / (π*1,005.52*874.05*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)| = 0.01 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0) = 0.01 mm
Hot Shut Down, New, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 13.8 / (π*1,002.52*1,008.7*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*902.5 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)| = 0.01 mm
V-8601 38
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 902.5 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0) = 0.01 mm
Empty, Corroded, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 12.8 / (π*1,005.52*874.05*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)| = 0.01 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0) = 0.01 mm
Empty, New, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 13.8 / (π*1,002.52*1,008.7*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*902.5 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)| = 0.01 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 902.5 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0) = 0.01 mm
Vacuum, Wind, Bottom Seam tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*1,001 / (2*874.05*1.20 + 0.40*|1.03|) = -0.49 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 12.8 / (π*1,005.52*874.05*1.20) * 98066.5 = 0 mm
V-8601 39
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.49 + 0 - (0.01)| = 0.5 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (-0.49) = 0.5 mm
Maximum Allowable External Pressure, Longitudinal Stress P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*874.05*1.20*(9 - 0 - 0.01) / (1,001 - 0.40*(9 - 0 - 0.01))= 18.91 bar
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 2.2 / (π*1,005.52*874.05*1.00) * 98066.5 = 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*874.05*1.00) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)| = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0) = 0.01 mm
Operating, Hot & Corroded, Vortex Shedding, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*1,001 / (2*1,180*1.20*1.00 + 0.40*|3.5|) = 1.24 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 55.9 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0 mm
tt = tp + tm - tw (total required, tensile)= 1.24 + 0 - (0) = 1.23 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665 = 0.01 mm
V-8601 40
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0.01) - (1.24)| = 1.23 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(9 - 0 + (0)) / (1,001 - 0.40*(9 - 0 + (0)))= 25.56 bar
Empty, Cold & Corroded, Vortex Shedding, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 154.6 / (π*1,005.52*874.05*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)| = 0 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0) = 0.01 mm
Vacuum, Vortex Shedding, Wind, Bottom Seam tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*1,001 / (2*874.05*1.20 + 0.40*|1.03|) = -0.49 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 55.9 / (π*1,005.52*874.05*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.49 + 0 - (0.01)| = 0.5 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (-0.49) = 0.5 mm
Maximum Allowable External Pressure, Longitudinal Stress P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*874.05*1.20*(9 - 0 - 0.01) / (1,001 - 0.40*(9 - 0 - 0.01))= 18.91 bar
V-8601 41
Bottom Head ASME Section VIII, Division 1, 2010 Edition Metric Component: Ellipsoidal Head Material Specification: SA-516 60 (II-D Metric p.10, ln. 27)Material impact test exemption temperature from Fig UCS-66M Curve D = -47.94 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 10.9 °C, (coincident ratio = 0.8046) Rated MDMT of -75.84°C is limited to -48°C by UCS-66(b)(2) UCS-66 governing thickness = 12.75 mm Internal design pressure: P = 3.5 bar @ 150 °C External design pressure: Pe = 1.03 bar @ 150 °C Static liquid head: Ps= 0.76 bar (SG=0.987, Hs=7811.5 mm Operating head) Pth= 0.22 bar (SG=1, Hs=2250 mm Horizontal test head) Ptv= 0.76 bar (SG=1, Hs=7805.5 mm Vertical test head) Corrosion allowance: Inner C = 6 mm Outer C = 0 mmDesign MDMT = 15°C No impact test performed Rated MDMT = -48°C Material is normalized
Material is not produced to fine grain practice PWHT is performed Do not Optimize MDMT / Find MAWP
Radiography: Category A joints - Full UW-11(a) Type 1
Head to shell seam - Full UW-11(a) Type 1 Estimated weight*: new = 490.4 kg corr = 263.5 kg Capacity*: new = 1,149.8 liters corr = 1,176.3 liters* includes straight flange Inner diameter = 1990 mm Minimum head thickness = 12.75 mm Head ratio D/2h = 2 (new) Head ratio D/2h = 1.9881 (corroded)Straight flange length Lsf = 38 mm Nominal straight flange thickness tsf = 15 mm Insulation thk*: 70 mm density: 999.9998 kg/m3 weight: 343.7283 kg Insulation support ring spacing: 400 mm individual weight: 40 kg total weight: 40 kg * includes straight flange if applicable Results Summary The governing condition is external pressure. Minimum thickness per UG-16 = 1.5 mm + 6 mm = 7.5 mmDesign thickness due to internal pressure (t) = 9.58 mmDesign thickness due to external pressure (te) = 11.18 mmMaximum allowable working pressure (MAWP) = 7.26 barMaximum allowable pressure (MAP) = 15.1 barMaximum allowable external pressure (MAEP) = 1.76 bar K (Corroded) K
= (1/6)*[2 + (D / (2*h))2]
= (1/6)*[2 + (2,002 / (2*503.5))2] = 0.99208
K (New) K
= (1/6)*[2 + (D / (2*h))2]
= (1/6)*[2 + (1,990 / (2*497.5))2] = 1
Design thickness for internal pressure, (Corroded at 150 °C) Appendix 1-4(c) t = P*D*K / (2*S*E - 0.2*P) + Corrosion
= 4.26*2,002*0.99208 / (2*1,180*1 - 0.2*4.26) + 6= 9.58 mm
The head internal pressure design thickness is 9.58 mm.
V-8601 42
Maximum allowable working pressure, (Corroded at 150 °C) Appendix 1-4(c) P = 2*S*E*t / (K*D + 0.2*t) - Ps
= 2*1,180*1*6.75 / (0.99208*2,002 +0.2*6.75) - 0.76= 7.26 bar
The maximum allowable working pressure (MAWP) is 7.26 bar. Maximum allowable pressure, (New at 25 °C) Appendix 1-4(c) P = 2*S*E*t / (K*D + 0.2*t) - Ps
= 2*1,180*1*12.75 / (1*1,990 +0.2*12.75) - 0 = 15.1 bar
The maximum allowable pressure (MAP) is 15.1 bar. Design thickness for external pressure, (Corroded at 150 °C) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do
= 0.8888*2,015.5 = 1,791.29 mm
A = 0.125 / (Ro / t)
= 0.125 / (1,791.29 / 5.18) = 0.000361
From Table CS-2 Metric: B = 365.036 kgf/cm2 Pa = B / (Ro / t)
= 357.9783 / (1,791.29 / 5.18) = 1.0342 bar
t = 5.18 mm + Corrosion = 5.18 mm + 6 mm = 11.17 mmCheck the external pressure per UG-33(a)(1) Appendix 1-4(c) t = 1.67*Pe*D*K / (2*S*E - 0.2*1.67*Pe) + Corrosion
= 1.67*1.03*2,002*0.99208 / (2*1,180*1 - 0.2*1.67*1.03) + 6= 7.45 mm
The head external pressure design thickness (te) is 11.17 mm. Maximum Allowable External Pressure, (Corroded at 150 °C) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do
= 0.8888*2,015.5 = 1,791.29 mm
A = 0.125 / (Ro / t)
= 0.125 / (1,791.29 / 6.75) = 0.000471
From Table CS-2 Metric: B = 476.7578 kgf/cm2 Pa = B / (Ro / t)
= 467.5401 / (1,791.29 / 6.75) = 1.7619 bar
Check the Maximum External Pressure, UG-33(a)(1) Appendix 1-4(c) P = 2*S*E*t / ((K*D + 0.2*t)*1.67) - Ps2
= 2*1,180*1*6.75 / ((0.99208*2,002 +0.2*6.75)*1.67) - 0= 4.8 bar
The maximum allowable external pressure (MAEP) is 1.76 bar. % Extreme fiber elongation - UCS-79(d) EFE = (75*t / Rf)*(1 - Rf / Ro)
= (75*15 / 345.8)*(1 - 345.8 / ?) = 3.2533%
The extreme fiber elongation does not exceed 5%.
V-8601 43
Straight Flange on Bottom Head ASME Section VIII Division 1, 2010 Edition Metric Component: Straight FlangeMaterial specification: SA-516 60 (II-D Metric p. 10, ln. 27)Material impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 22.7 °C, (coincident ratio = 0.6053) Rated MDMT of -84.83°C is limited to -48°C by UCS-66(b)(2) UCS-66 governing thickness = 15 mm Internal design pressure: P = 3.5 bar @ 150 °C External design pressure: Pe = 1.03 bar @ 150 °C Static liquid head: Ps = 0.71 bar (SG = 0.987, Hs = 7,308 mm,Operating head)Pth = 0.22 bar (SG = 1, Hs = 2,250 mm, Horizontal test head)Ptv = 0.72 bar (SG = 1, Hs = 7,308 mm, Vertical test head)Corrosion allowance Inner C = 6 mm Outer C = 0 mmDesign MDMT = 15 °C No impact test performedRated MDMT = -48 °C Material is normalized
Material is not produced to Fine Grain PracticePWHT is performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1Circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 28.1 kg corr = 16.9 kg Capacity New = 118.19 liters corr = 119.62 liters ID = 1,990 mmLength Lc = 38 mm t = 15 mm Insulation thk: 70 mm density: 1,000 kg/m3 Weight: 0 kg Design thickness, (at 150 °C) UG-27(c)(1) t = P*R / (S*E - 0.60*P) + Corrosion
= 4.21*1,001 / (1,180*1.00 - 0.60*4.21) + 6 = 9.58 mm
Maximum allowable working pressure, (at 150 °C) UG-27(c)(1) P = S*E*t / (R + 0.60*t) - Ps
= 1,180*1.00*9 / (1,001 + 0.60*9) - 0.71 = 9.85 bar
Maximum allowable pressure, (at 25 °C) UG-27(c)(1) P = S*E*t / (R + 0.60*t)
= 1,180*1.00*15 / (995 + 0.60*15)= 17.63 bar
External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 3,417.83 / 2,020 = 1.6920 Do / t = 2,020 / 8.11 = 249.0293From table G: A = 0.000195 From table CS-2 Metric: B = 196.9709 kg/cm2 (193.16 bar)Pa = 4*B / (3*(Do / t))
= 4*193.16 / (3*(2,020 / 8.11)) = 1.03 bar
Design thickness for external pressure Pa = 1.03 bar ta = t + Corrosion = 8.11 + 6 = 14.11 mm Maximum Allowable External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 3,417.83 / 2,020 = 1.6920 Do / t = 2,020 / 9 = 224.4315From table G: A = 0.000233 From table CS-2 Metric: B = 235.0941 kg/cm2 (230.548 bar)Pa = 4*B / (3*(Do / t))
= 4*230.55 / (3*(2,020 / 9))= 1.37 bar
% Extreme fiber elongation - UCS-79(d) EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*15 / 1,002.5)*(1 - 1,002.5 / ∞) = 0.7481%
The extreme fiber elongation does not exceed 5%.
V-8601 44
Design thickness = 14.11 mm The governing condition is due to external pressure. The cylinder thickness of 15 mm is adequate. Thickness Required Due to Pressure + External Loads
Condition Pressure P ( bar)
Allowable Stress Before UG-23 Stress Increase (
kg/cm2) Temperature (
°C) Corrosion
C (mm) Load Req'd Thk
Due to Tension (mm)
Req'd Thk Due to Compression (mm)
St Sc
Operating, Hot & Corroded
3.5 1,203.3 891.3 150 6 Wind 1.22 1.01
Operating, Hot & New 3.5 1,203.3 1,028.6 150 0 Wind 1.2 0.98
Hot Shut Down, Corroded
0 1,203.3 891.3 150 6 Wind 0.02 0.3
Hot Shut Down, New 0 1,203.3 1,028.6 150 0 Wind 0.03 0.29
Empty, Corroded 0 1,203.3 891.3 21.11 6 Wind 0.02 0.3
Empty, New 0 1,203.3 1,028.6 21.11 0 Wind 0.03 0.29
Vacuum -1.03 1,203.3 891.3 150 6 Wind 0.51 0.79
Hot Shut Down, Corroded, Weight & Eccentric Moments Only
0 1,203.3 891.3 150 6 Weight 0.2 0.27
Operating, Hot & Corroded, Vortex Shedding
3.5 1,203.3 891.3 150 6 Wind 1.35 0.88
Empty, Cold & Corroded, Vortex Shedding
0 1,203.3 891.3 21.11 6 Wind 0.44 0.91
Vacuum, Vortex Shedding
-1.03 1,203.3 891.3 150 6 Wind 0.33 0.97
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScHC = min(B, S) = 891.3 kg/cm2 Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 15)= 0.001856
B = 1,028.6 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScHN = min(B, S) = 1,028.6 kg/cm2
V-8601 45
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 15)= 0.001856
B = 1,028.6 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScCN = min(B, S) = 1,028.6 kg/cm2 Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScCC = min(B, S) = 891.3 kg/cm2 Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScVC = min(B, S) = 891.3 kg/cm2 Operating, Hot & Corroded, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*1,001 / (2*1,180*1.20*1.00 + 0.40*|3.5|) = 1.24 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 3,457.4 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0.08 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0.09 mm
tt = tp + tm - tw (total required, tensile)= 1.24 + 0.08 - (0.09) = 1.22 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665 = 0.15 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0.08 + (0.15) - (1.24)| = 1.01 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(9 - 0.08 + (0.09)) / (1,001 - 0.40*(9 - 0.08 + (0.09)))= 25.59 bar
V-8601 46
Operating, Hot & New, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*995 / (2*1,180*1.20*1.00 + 0.40*|3.5|) = 1.23 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 3,507.6 / (π*1,002.52*1,180*1.20*1.00) * 98066.5 = 0.08 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*15,529.2 / (2*π*1,002.5*1,180*1.20*1.00) * 98.0665= 0.1 mm
tt = tp + tm - tw (total required, tensile)= 1.23 + 0.08 - (0.1) = 1.2 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 15,529.2 / (2*π*1,002.5*1,180*1.20*1.00) * 98.0665 = 0.17 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0.08 + (0.17) - (1.23)| = 0.98 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(15 - 0.08 + (0.1)) / (995 - 0.40*(15 - 0.08 + (0.1)))= 43.03 bar
Hot Shut Down, Corroded, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,457.4 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.1 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.1 - (0.12)| = 0.02 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.1 + (0.2) - (0) = 0.3 mm
Hot Shut Down, New, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,507.6 / (π*1,002.52*1,008.7*1.20) * 98066.5 = 0.09 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*15,529.2 / (2*π*1,002.5*1,008.7*1.20) * 98.0665= 0.12 mm
V-8601 47
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.09 - (0.12)| = 0.03 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 15,529.2 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.09 + (0.2) - (0) = 0.29 mm
Empty, Corroded, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,457.4 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.1 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.1 - (0.12)| = 0.02 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.1 + (0.2) - (0) = 0.3 mm
Empty, New, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,507.6 / (π*1,002.52*1,008.7*1.20) * 98066.5 = 0.09 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*15,529.2 / (2*π*1,002.5*1,008.7*1.20) * 98.0665= 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.09 - (0.12)| = 0.03 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 15,529.2 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.09 + (0.2) - (0) = 0.29 mm
Vacuum, Wind, Bottom Seam tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*1,001 / (2*874.05*1.20 + 0.40*|1.03|) = -0.49 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 3,457.4 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.1 mm
V-8601 48
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.49 + 0.1 - (0.12)| = 0.51 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.1 + (0.2) - (-0.49) = 0.79 mm
Maximum Allowable External Pressure, Longitudinal Stress P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*874.05*1.20*(9 - 0.1 - 0.2) / (1,001 - 0.40*(9 - 0.1 - 0.2))= 18.3 bar
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 1,039.8 / (π*1,005.52*874.05*1.00) * 98066.5 = 0.04 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*874.05*1.00) * 98.0665 = 0.24 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.04 - (0.24)| = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.04 + (0.24) - (0) = 0.27 mm
Operating, Hot & Corroded, Vortex Shedding, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.5*1,001 / (2*1,180*1.20*1.00 + 0.40*|3.5|) = 1.24 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 9,418.5 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0.21 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0.09 mm
tt = tp + tm - tw (total required, tensile)= 1.24 + 0.21 - (0.09) = 1.35 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665 = 0.15 mm
V-8601 49
tc = |tmc + twc - tpc| (total, net tensile)= |0.21 + (0.15) - (1.24)| = 0.88 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(9 - 0.21 + (0.09)) / (1,001 - 0.40*(9 - 0.21 + (0.09)))= 25.22 bar
Empty, Cold & Corroded, Vortex Shedding, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 24,057.5 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0.52 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0.09 mm
tt = tp + tm - tw (total required, tensile)= 0 + 0.52 - (0.09) = 0.44 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 24,057.5 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.71 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.71 + (0.2) - (0) = 0.91 mm
Vacuum, Vortex Shedding, Wind, Bottom Seam tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*1,001 / (2*874.05*1.20 + 0.40*|1.03|) = -0.49 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 9,418.5 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.28 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.49 + 0.28 - (0.12)| = 0.33 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.28 + (0.2) - (-0.49) = 0.97 mm
V-8601 50
Maximum Allowable External Pressure, Longitudinal Stress P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*874.05*1.20*(9 - 0.28 - 0.2) / (1,001 - 0.40*(9 - 0.28 - 0.2))= 17.93 bar
V-8601 51
Steam Out Conditions
V-8601 52
DESIGN CODE : ASME SEC. VIII DIV.1 2010 EDITIONPROCESS FLUID(GAS/LIQUID) : SOUR GAS/WATERDENSITY OF LIQUID (OPER./DESIGN) : 987.03/1000 Kg/m3
DESIGN FILLING : 100%DESIGN PRESSURE (INTERNAL/EXTERNAL) 2.6/FV. bar(g) AT 150 OCOPERATING PRESSURE (Max./Normal/Min.) -/0.8/- bar(g) AT -/50/- OCHYDROTEST PRESSURE (AT SHOP) 17.52 bar(g)CORRODED HYDROTEST PRESSURE (AT SITE) 7.4 bar(g)MAXIMUM ALLOWABLE WORKING PRESSURE 5.7 bar(g) AT 150 OCMAXIMUM ALLOWABLE EXTERNAL WORKING PRESSURE 1.03 bar(g) AT 150 OCMINIMUM DESIGN METAL TEMPERATURE 15 OC AT 5.7 bar(g)CORROSION ALLOWANCE (INTERNAL/EXTERNAL) 6/0 mmVESSEL TYPE : VERTICAL TYPE OF HEAD : ED 2:1TYPE OF SUPPORT : SKIRT SUPPORT SEISMIC LOAD : UBC ZONE 0IMPACT TEST : NO DESIGN WIND SPEED : 40 m/s HARDNESS TEST : NO POSTWELD HEAT TREATMENT : YESINSULATION : H-70 FIRE PROOFING COATING : N/A
COMPONENTSHELL HEAD
SHELL,HEAD,REINFORCING PADS : A516 Gr 60N+HIC BOLT/NUT (INT) : SS 316FLANGE : A 105 N UPPER SKIRT : A 516 Gr. 60N+HICNOZZLE NECK (Ø12"&SMALLER) : A 106 Gr. B LOWER SKIRT: A 283 Gr.CNOZZLE NECK (LARGERØ12") : A 516 Gr.60N+HIC ANCHOR BOLT : -MANHOLE NECK : A 516 Gr.60N+HIC STRUCTURE PLATFORM : N/AFITTING: A 234 WPB BASE PL. : A 283 Gr.CGASKET : SEE NOTE 1 ATTACHMENT (EXT.)/WELD : A 516 Gr.60N+HIC/A 283 Gr.CINTERNAL PART : SS 316 ATTACHMENT (EXT.)/REMOV : -STUD BOLT/ NUT (EXT) : A 193-B7M / A 194-Gr.2HM ATTACHMENT (INT.)/WELD : A 516 Gr.60N+HIC
FABRICATION 21,570 Kg. OPERATING 40,414 Kg.ERECTION 21,570 Kg. HYDROTEST (SHOP) 38,268 Kg.EMPTY 21,570 Kg.
NOTE:
1. GASKET SHALL BE SPIRAL WOO 316 WITH GRAPHITE FILLED, 316 INNER RING AND CS OUTER RING
2. ENVIRONMENTAL CORROSION ALLOWANCE CARBON STELL = 1.5 mm. As per DEP 31.22.20.31, para 3.6.1.1
JOINT EFFICENCY1.001.00
DESIGN SPECIFICATION
RADIOGRAPHIC EXAMINATIONRADIOGRAPHIC
FULL
MATERIAL SPECIFICATION
WEIGHT
FULL
V-8601 53
Pressure Summary
Pressure Summary for Chamber bounded by Bottom Head and Top Head
Identifier P
Design ( bar)
T Design ( °C)
MAWP( bar)
MAP( bar)
MAEP( bar)
Te
external( °C)
MDMT( °C)
MDMT Exemption
Impact Tested
Top Head 2.6 150 7.94 15.1 1.76 150 -48 Note 1 No
Straight Flange on Top Head 2.6 150 10.47 17.63 1.37 150 -48 Note 2 No
Shell 2.6 150 9.85 17.63 1.37 150 -48 Note 3 No
Straight Flange on Bottom Head 2.6 150 9.85 17.63 1.37 150 -48 Note 5 No
Bottom Head 2.6 150 7.26 15.1 1.76 150 -48 Note 4 No
Ring N/A N/A N/A N/A 1.03 150 N/A N/A No
Manway (A1) 2.6 150 9.15 13.67 1.37 150 -48 Nozzle Note 6 No
Pad Note 7 No
Manway (A2) 2.6 150 8.75 13.67 1.37 150 -48 Nozzle Note 8 No
Pad Note 9 No
Packing Unloading (H1) 2.6 150 7.88 14.67 1.37 150 -48 ȁozzle Note 10 No
Pad Note 11 No
Level Gauge (LG) (K1A) 2.6 150 10.02 17.63 1.37 150 -48 Note 12 No
Level Gauge (LG) (K1B) 2.6 150 9.87 17.63 1.37 150 -48 Note 13 No
Level Transmitter(LICA) (K2A) 2.6 150 10 17.63 1.37 150 -48 Note 14 No
Level Transmitter(LICA) (K2B) 2.6 150 9.89 17.63 1.37 150 -48 Note 15 No
Level Transmitter(LZA) (K3A) 2.6 150 10 17.63 1.37 150 -48 Note 14 No
Level Transmitter(LZA) (K3B) 2.6 150 9.89 17.63 1.37 150 -48 Note 15 No
Level Transmitter(LZA) (K4A) 2.6 150 10 17.63 1.37 150 -48 Note 14 No
Level Transmitter(LZA) (K4B) 2.6 150 9.89 17.63 1.37 150 -48 Note 15 No
Level Transmitter(LZA) (K5A) 2.6 150 10 17.63 1.37 150 -48 Note 14 No
Level Transmitter(LZA) (K5B) 2.6 150 9.89 17.63 1.37 150 -48 Note 15 No
Level Transmitter(LZA) (K6A) 2.6 150 10 17.63 1.37 150 -48 Note 14 No
Level Transmitter(LZA) (K6B) 2.6 150 9.89 17.63 1.37 150 -48 Note 15 No
Acid Gas Inlet (N1) 2.6 150 5.7 15.71 1.37 150 -48 Nozzle Note 16 No
Pad Note 17 No
Acid Gas Outlet (N2) 2.6 150 8.86 15.76 1.37 150 -48 Nozzle Note 18 No
Pad Note 19 No
Vent (N3) 2.6 150 7.48 16.78 1.37 150 -48 Note 20 No
Sour Water Outlet (N4) 2.6 150 8.09 16.78 1.37 150 -48 Nozzle Note 21 No
Pad Note 22 No
Drain (N5) 2.6 150 15.02 19.6 1.37 150 -48 Note 23 No
Utility Nozzle/Steam Out (N6) 2.6 150 9.86 17.63 1.37 150 -48 Note 24 No
PSV (N7) 2.6 150 10.32 17.63 1.37 150 -48 Nozzle Note 25 No
Pad Note 26 No
Wash Water Inlet (N8) 2.6 150 10.28 17.63 1.37 150 -48 Note 27 No
V-8601 54
Chamber design MDMT is 15 °C Chamber rated MDMT is -48 °C @ 5.7 bar Chamber MAWP hot & corroded is 5.7 bar @ 150 °C Chamber MAP cold & new is 13.67 bar @ 25 °C Chamber MAEP is 1.03 bar @ 150 °C External pressure rating was governed by the vacuum ring Ring. Notes for MDMT Rating:
Note # Exemption Details
1.
Material impact test exemption temperature from Fig UCS-66M Curve D = -47.94 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 15.7 °C, (coincident ratio = 0.7201) Rated MDMT of -80.64°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 12.75 mm
2.
Material impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 27.3 °C, (coincident ratio = 0.5461) Rated MDMT of -89.43°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm
3.
Material impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 22.7 °C, (coincident ratio = 0.605) Rated MDMT of -84.83°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm
4.
Material impact test exemption temperature from Fig UCS-66M Curve D = -47.94 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 10.9 °C, (coincident ratio = 0.8046) Rated MDMT of -75.84°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 12.75 mm
5.
Material impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 22.7 °C, (coincident ratio = 0.6054) Rated MDMT of -84.83°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm
6. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1667).
7.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 25.8 °C, (coincident ratio = 0.564) Rated MDMT of -87.93°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
8. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1778).
9.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 23 °C, (coincident ratio = 0.6016) Rated MDMT of -85.13°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
10. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1108).
11.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 24.3 °C, (coincident ratio = 0.5837) Rated MDMT of -86.43°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
12. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.1218
13. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.1247
14. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.1223
V-8601 55
15. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.1243
16. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2447).
17.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 23.7 °C, (coincident ratio = 0.5913) Rated MDMT of -85.83°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
18.
Nozzle impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 19.9 °C, (coincident ratio = 0.6439) Rated MDMT of -82.03°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
19.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 19.9 °C, (coincident ratio = 0.6439) Rated MDMT of -82.03°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
20. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.2906
21.
Nozzle impact test exemption temperature from Fig UCS-66M Curve B = -20.41 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 15.1 °C, (coincident ratio = 0.7304) Rated MDMT of -52.51°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 13.34 mm.
22.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -47.21 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 15.1 °C, (coincident ratio = 0.7304) Rated MDMT of -79.31°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 13.34 mm.
23. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.3301
24. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.3259
25. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2313).
26.
Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 26.1 °C, (coincident ratio = 0.5608) Rated MDMT of -88.23°C is limited to -48°C by UCS-66(b)(2)
UCS-66 governing thickness = 15 mm.
27. Flange rating governs: Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C
UCS-66(b)(3): Coincident ratio = 0.3042
Design notes are available on the Settings Summary page.
V-8601 56
Thickness Summary
Component Identifier Material Diameter
(mm) Length(mm)
Nominal t(mm)
Design t(mm)
Total Corrosion (mm)
Joint E Load
Top Head SA-516 60 1,990 ID 510.25 12.75* 11.18 6 1.00 External
Straight Flange on Top Head SA-516 60 1,990 ID 38 15 14.11 6 1.00 External
Shell SA-516 60 1,990 ID 6,424 15 14.11 6 1.00 External
Straight Flange on Bottom Head SA-516 60 1,990 ID 38 15 14.11 6 1.00 External
Bottom Head SA-516 60 1,990 ID 510.25 12.75* 11.18 6 1.00 External
Support Skirt 1 SA-516 60 2,020 OD 670 10 4.36 3 0.55 Wind
Support Skirt 2 SA-283 C 2,020 OD 1,500 10 4.68 3 0.55 Wind
Support Skirt 3 SA-283 C 2,020 OD 1,500 10 5.05 3 0.55 Wind
Support Skirt 4 SA-283 C 2,020 OD 1,500 10 5.48 3 0.55 Wind
Support Skirt 5 SA-283 C 2,020 OD 1,094 10 5.81 3 0.55 Wind
Support Skirt 6 SA-516 60 2,020 OD 1,512 10 5.99 3 0.55 Wind
Nominal t: Vessel wall nominal thickness
Design t: Required vessel thickness due to governing loading + corrosion
Joint E: Longitudinal seam joint efficiency
* Head minimum thickness after forming
Load
internal: Circumferential stress due to internal pressure governs
external: External pressure governs
Wind: Combined longitudinal stress of pressure + weight + wind governs
Seismic: Combined longitudinal stress of pressure + weight + seismic governs
V-8601 57
Hydrostatic Test Shop test pressure determination for Chamber bounded by Bottom Head and Top Head based on MAP per UG-99(c) Shop hydrostatic test gauge pressure is 17.52 bar at 25 °C The shop test is performed with the vessel in the horizontal position.
Identifier MAP bar
Test pressure
bar
Test liquidstatic head
bar
UG-99(c)pressure
factor
Stress during test
kgf/cm2
Allowable test stress
kgf/cm2
Stress excessive?
Top Head 15.1 17.74 0.22 1.30 1,270.755 2,028.214 No
Straight Flange on Top Head 17.63 17.74 0.22 1.30 1,209.181 2,028.214 No
Shell 17.63 17.74 0.22 1.30 1,209.181 2,028.214 No
Straight Flange on Bottom Head 17.63 17.74 0.22 1.30 1,209.181 2,028.214 No
Bottom Head 15.1 17.74 0.22 1.30 1,270.755 2,028.214 No
Acid Gas Inlet (N1) 15.71 17.66 0.14 1.30 1,362.778 3,028.555 No
Acid Gas Outlet (N2) 15.76 17.66 0.14 1.30 1,227.708 3,028.555 No
Drain (N5) 19.6 17.64 0.12 1.30 57.679 3,303.878 No
Level Gauge (LG) (K1A) 17.63 17.55 0.03 1.30 1,366.615 3,028.555 No
Level Gauge (LG) (K1B) 17.63 17.55 0.03 1.30 1,366.615 3,028.555 No
Level Transmitter(LICA) (K2A) 17.63 17.6 0.07 1.30 1,296.83 3,028.555 No
Level Transmitter(LICA) (K2B) 17.63 17.6 0.07 1.30 1,296.83 3,028.555 No
Level Transmitter(LZA) (K3A) 17.63 17.58 0.05 1.30 1,295.304 3,028.555 No
Level Transmitter(LZA) (K3B) 17.63 17.58 0.05 1.30 1,295.304 3,028.555 No
Level Transmitter(LZA) (K4A) 17.63 17.56 0.04 1.30 1,294.125 3,028.555 No
Level Transmitter(LZA) (K4B) 17.63 17.56 0.04 1.30 1,294.125 3,028.555 No
Level Transmitter(LZA) (K5A) 17.63 17.55 0.03 1.30 1,293.374 3,028.555 No
Level Transmitter(LZA) (K5B) 17.63 17.55 0.03 1.30 1,293.374 3,028.555 No
Level Transmitter(LZA) (K6A) 17.63 17.55 0.02 1.30 1,293.101 3,028.555 No
Level Transmitter(LZA) (K6B) 17.63 17.55 0.02 1.30 1,293.101 3,028.555 No
Manway (A1) 13.67 17.78 0.25 1.30 1,953.272 3,028.555 No
Manway (A2) (2) 13.67 17.78 0.25 1.30 1,953.272 3,028.555 No
PSV (N7) 17.63 17.74 0.21 1.30 713.261 3,028.555 No
Packing Unloading (H1) 14.67 17.66 0.14 1.30 1,519.826 3,028.555 No
Sour Water Outlet (N4) 16.78 17.65 0.13 1.30 656.062 3,028.555 No
Utility Nozzle/Steam Out (N6) 17.63 17.71 0.19 1.30 1,323.809 3,028.555 No
Vent (N3) 16.78 17.65 0.12 1.30 1,253.896 3,028.555 No
Wash Water Inlet (N8) 17.63 17.65 0.12 1.30 1,319.232 3,028.555 No
Notes: (1) PL stresses at nozzle openings have been estimated using the method described in PVP-Vol. 399, pages 77-82. (2) Manway (A2) is the component that determines the test pressure. (3) 1.5*0.9*Sy used as the basis for the maximum local primary membrane stress at the nozzle intersection PL. (4) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-most flange. The test temperature of 25 °C is warmer than the minimum recommended temperature of -0.78 °C so the brittle fracture provision of UG-99(h) has been met. NOTE: Figure UCS 66.2 general note (6) has been applied.
V-8601 58
Corroded Hydrostatic Test Field test pressure determination for Chamber bounded by Bottom Head and Top Head based on MAWP per UG-99(b) Field hydrostatic test gauge pressure is 7.4 bar at 25 °C (the chamber MAWP = 5.69 bar) The field test is performed with the vessel in the vertical position.
Identifier Local test pressure
bar
Test liquidstatic head
bar
UG-99(b)stress ratio
UG-99(b)pressure
factor
Stress during test
kgf/cm2
Allowable test stress
kgf/cm2
Stress excessive?
Top Head (1) 7.49 0.08 1 1.30 1,018.714 2,028.214 No
Straight Flange on Top Head 7.49 0.08 1 1.30 852.756 2,028.214 No
Shell 8.12 0.71 1 1.30 924.461 2,028.214 No
Straight Flange on Bottom Head 8.12 0.72 1 1.30 924.885 2,028.214 No
Bottom Head 8.17 0.77 1 1.30 1,111.595 2,028.214 No
Acid Gas Inlet (N1) 7.97 0.57 1 1.30 741.324 3,028.555 No
Acid Gas Outlet (N2) 7.43 0.03 1 1.30 641.995 3,028.555 No
Drain (N5) 8.19 0.79 1 1.30 51.84 3,303.878 No
Level Gauge (LG) (K1A) 7.94 0.54 1 1.30 1,171.855 3,028.555 No
Level Gauge (LG) (K1B) 8.09 0.69 1 1.30 1,194.269 3,028.555 No
Level Transmitter(LICA) (K2A) 7.96 0.56 1 1.30 1,069.498 3,028.555 No
Level Transmitter(LICA) (K2B) 8.07 0.67 1 1.30 1,083.971 3,028.555 No
Level Transmitter(LZA) (K3A) 7.96 0.56 1 1.30 1,069.498 3,028.555 No
Level Transmitter(LZA) (K3B) 8.07 0.67 1 1.30 1,083.971 3,028.555 No
Level Transmitter(LZA) (K4A) 7.96 0.56 1 1.30 1,069.498 3,028.555 No
Level Transmitter(LZA) (K4B) 8.07 0.67 1 1.30 1,083.971 3,028.555 No
Level Transmitter(LZA) (K5A) 7.96 0.56 1 1.30 1,069.498 3,028.555 No
Level Transmitter(LZA) (K5B) 8.07 0.67 1 1.30 1,083.971 3,028.555 No
Level Transmitter(LZA) (K6A) 7.96 0.56 1 1.30 1,069.498 3,028.555 No
Level Transmitter(LZA) (K6B) 8.07 0.67 1 1.30 1,083.971 3,028.555 No
Manway (A1) 7.68 0.27 1 1.30 1,388.65 3,028.555 No
Manway (A2) 8.08 0.68 1 1.30 1,461.313 3,028.555 No
PSV (N7) 7.64 0.24 1 1.30 325.082 3,028.555 No
Packing Unloading (H1) 7.89 0.49 1 1.30 921.486 3,028.555 No
Sour Water Outlet (N4) 8.21 0.81 1 1.30 344.146 3,028.555 No
Utility Nozzle/Steam Out (N6) 8.11 0.7 1 1.30 1,098.764 3,028.555 No
Vent (N3) 7.44 0.03 1 1.30 1,056.722 3,028.555 No
Wash Water Inlet (N8) 7.68 0.27 1 1.30 1,040.329 3,028.555 No
Notes: (1) Top Head limits the UG-99(b) stress ratio. (2) PL stresses at nozzle openings have been estimated using the method described in PVP-Vol. 399, pages 77-82. (3) 1.5*0.9*Sy used as the basis for the maximum local primary membrane stress at the nozzle intersection PL. The test temperature of 25 °C is warmer than the minimum recommended temperature of -31 °C so the brittle fracture provision of UG-99(h) has been met.
V-8601 59
Wind Code Building Code:
ASCE 7-10
Elevation of base above grade: 0.0000 ft (0.0000 m) Increase effective outer diameter by: 0.0000 ft (0.0000 m) Wind Force Coefficient Cf: 0.8000 Risk Category (Table 1.5-1): IIBasic Wind Speed:, V: 89.4775 mph (144.0000 km/h) Exposure category: C Wind Directionality Factor, Kd: 1.0000 Top Deflection Limit: 5 mm per m. Topographic Factor, Kzt: 1.0000 Enforce min. loading of 0.77 kPa: Yes Vessel Characteristics
Vessel height, h: 48.7194 ft (14.8497 m) Vessel Minimum Diameter, b
Operating, Corroded: 7.0866 ft (2.1600 m) Empty, Corroded: 7.0866 ft (2.1600 m)
Hydrotest, New, field: 7.0866 ft (2.1600 m) Hydrotest, Corroded, field: 7.0866 ft (2.1600 m)
Fundamental Frequency, n1 Operating, Corroded: 2.5180 Hz
Empty, Corroded: 4.0279 Hz Hydrotest, New, field: 3.1342 Hz
Hydrotest, Corroded, field: 2.7039 Hz Vacuum, Corroded: 2.5180 Hz
Damping coefficient, β Operating, Corroded: 0.0258
Empty, Corroded: 0.0210 Hydrotest, New, field: 0.0260
Hydrotest, Corroded, field: 0.0260 Vacuum, Corroded: 0.0258
Vortex Shedding Calculations Table Lookup Values 2.4.1 Basic Load Combinations for Allowable Stress Design The following load combinations are considered in accordance with ASCE section 2.4.1: 5. D + P + Ps + 0.6W 7. 0.6D + P + Ps + 0.6W Where D = Dead load P = Internal or external pressure load Ps = Static head load W = Wind load
V-8601 60
Wind Deflection Reports: Operating, Corroded Empty, Corroded Vacuum, Corroded Hydrotest, New, field Hydrotest, Corroded, field Operating, Corroded,Vortex Shedding Empty, Corroded, Vortex Shedding Vacuum, Corroded, Vortex Shedding Wind Pressure Calculations Wind Pressures at Critical Speed: Operating, Corroded Wind Pressures at Critical Speed: Empty, Corroded Wind Pressures at Critical Speed: Vacuum, Corroded Wind Deflection Report: Operating, Corroded
Component Elevation of
bottom above base (mm)
Effective OD (m)
Elastic modulusE (kg/cm²)
InertiaI (m4)
Platform wind shear atBottom (kgf)
Total windshear at
Bottom (kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 1,988,447.9 * 0 45 12.8 1.51
Shell 7,877.41 2.16 1,988,447.9 0.02875 0 695.4 3,428.8 1.43
Bottom Head (top) 7,776 2.16 1,988,447.9 * 0 705.6 3,499.8 0.58
Support Skirt 1 7,106 2.02 2,059,828.1 0.02232 0 769 3,992.1 0.56
Support Skirt 2 5,606 2.02 2,059,828.1 0.02232 0 910.8 5,251.9 0.48
Support Skirt 3 4,106 2.02 2,059,828.1 0.02232 0 1,052.6 6,724.5 0.32
Support Skirt 4 2,606 2.02 2,059,828.1 0.02232 0 1,194.4 8,409.7 0.18
Support Skirt 5 1,512 2.02 2,059,828.1 0.02232 0 1,297.8 9,773 0.08
Support Skirt 6 0 2.02 2,059,828.1 0.02232 0 1,440.8 11,843.4 0.03
*Moment of Inertia I varies over the length of the component
Wind Deflection Report: Empty, Corroded
Component Elevation of
bottom above base (mm)
Effective OD (m)
Elastic modulusE (kg/cm²)
InertiaI (m4)
Platform wind shear atBottom (kgf)
Total windshear at
Bottom (kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 2,062,603.9 * 0 45 12.8 1.5
Shell 7,877.41 2.16 2,062,603.9 0.02875 0 695.4 3,428.8 1.43
Bottom Head (top) 7,776 2.16 2,062,603.9 * 0 705.6 3,499.8 0.58
Support Skirt 1 7,106 2.02 2,062,603.9 0.02232 0 769 3,992.1 0.56
Support Skirt 2 5,606 2.02 2,062,603.9 0.02232 0 910.8 5,251.9 0.48
Support Skirt 3 4,106 2.02 2,062,603.9 0.02232 0 1,052.6 6,724.5 0.32
Support Skirt 4 2,606 2.02 2,062,603.9 0.02232 0 1,194.4 8,409.7 0.18
Support Skirt 5 1,512 2.02 2,062,603.9 0.02232 0 1,297.8 9,773 0.08
Support Skirt 6 0 2.02 2,062,603.9 0.02232 0 1,440.8 11,843.4 0.03
*Moment of Inertia I varies over the length of the component
V-8601 61
Wind Deflection Report: Vacuum, Corroded
Component Elevation of
bottom above base (mm)
Effective OD (m)
Elastic modulusE (kg/cm²)
InertiaI (m4)
Platform wind shear atBottom (kgf)
Total windshear at
Bottom (kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 1,988,447.9 * 0 45 12.8 1.51
Shell 7,877.41 2.16 1,988,447.9 0.02875 0 695.4 3,428.8 1.43
Bottom Head (top) 7,776 2.16 1,988,447.9 * 0 705.6 3,499.8 0.58
Support Skirt 1 7,106 2.02 2,059,828.1 0.02232 0 769 3,992.1 0.56
Support Skirt 2 5,606 2.02 2,059,828.1 0.02232 0 910.8 5,251.9 0.48
Support Skirt 3 4,106 2.02 2,059,828.1 0.02232 0 1,052.6 6,724.5 0.32
Support Skirt 4 2,606 2.02 2,059,828.1 0.02232 0 1,194.4 8,409.7 0.18
Support Skirt 5 1,512 2.02 2,059,828.1 0.02232 0 1,297.8 9,773 0.08
Support Skirt 6 0 2.02 2,059,828.1 0.02232 0 1,440.8 11,843.4 0.03
*Moment of Inertia I varies over the length of the component
Wind Deflection Report: Hydrotest, New, field
Component Elevation of
bottom above base (mm)
Effective OD (m)
Elastic modulusE (kg/cm²)
InertiaI (m4)
Platform wind shear atBottom (kgf)
Total windshear at
Bottom (kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 2,059,828.1 * 0 45 13.8 1.05
Shell 7,877.41 2.16 2,059,828.1 0.04748 0 695.4 3,478.9 1
Bottom Head (top) 7,776 2.16 2,059,828.1 * 0 705.6 3,550 0.41
Support Skirt 1 7,106 2.02 2,059,828.1 0.03189 0 769.1 4,041.9 0.4
Support Skirt 2 5,606 2.02 2,059,828.1 0.03189 0 911.1 5,302 0.34
Support Skirt 3 4,106 2.02 2,059,828.1 0.03189 0 1,053.1 6,775.2 0.23
Support Skirt 4 2,606 2.02 2,059,828.1 0.03189 0 1,195.1 8,461.4 0.13
Support Skirt 5 1,512 2.02 2,059,828.1 0.03189 0 1,298.7 9,825.5 0.06
Support Skirt 6 0 2.02 2,059,828.1 0.03189 0 1,441.9 11,897.4 0.02
*Moment of Inertia I varies over the length of the component
V-8601 62
Wind Deflection Report: Hydrotest, Corroded, field
Component Elevation of
bottom above base (mm)
Effective OD (m)
Elastic modulusE (kg/cm²)
InertiaI (m4)
Platform wind shear atBottom (kgf)
Total windshear at
Bottom (kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 2,059,828.1 * 0 45 12.8 1.5
Shell 7,877.41 2.16 2,059,828.1 0.02875 0 695.4 3,428.8 1.43
Bottom Head (top) 7,776 2.16 2,059,828.1 * 0 705.6 3,499.8 0.58
Support Skirt 1 7,106 2.02 2,059,828.1 0.02232 0 769 3,992.1 0.56
Support Skirt 2 5,606 2.02 2,059,828.1 0.02232 0 910.8 5,251.9 0.48
Support Skirt 3 4,106 2.02 2,059,828.1 0.02232 0 1,052.6 6,724.5 0.32
Support Skirt 4 2,606 2.02 2,059,828.1 0.02232 0 1,194.4 8,409.7 0.18
Support Skirt 5 1,512 2.02 2,059,828.1 0.02232 0 1,297.8 9,773 0.08
Support Skirt 6 0 2.02 2,059,828.1 0.02232 0 1,440.8 11,843.4 0.03
*Moment of Inertia I varies over the length of the component
Wind Deflection Report: Operating, Corroded, Vortex Shedding
Component Elevation of
bottom above base (mm)
Effective OD (m)
Elastic modulusE (kg/cm²)
InertiaI (m4)
Platform wind shear atBottom (kgf)
Total windshear at
Bottom (kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 1,988,447.9 * 0 197.4 55.9 3.82
Shell 7,877.41 2.16 1,988,447.9 0.02875 0 2,002.9 9,336.1 3.63
Bottom Head (top) 7,776 2.16 1,988,447.9 * 0 2,013.2 9,539.7 1.44
Support Skirt 1 7,106 2.02 2,059,828.1 0.02232 0 2,076.5 10,908 1.41
Support Skirt 2 5,606 2.02 2,059,828.1 0.02232 0 2,218.3 14,129.1 1.2
Support Skirt 3 4,106 2.02 2,059,828.1 0.02232 0 2,360.1 17,563 0.79
Support Skirt 4 2,606 2.02 2,059,828.1 0.02232 0 2,501.9 21,209.5 0.45
Support Skirt 5 1,512 2.02 2,059,828.1 0.02232 0 2,605.4 24,003.2 0.19
Support Skirt 6 0 2.02 2,059,828.1 0.02232 0 2,748.3 28,050.6 0.07
*Moment of Inertia I varies over the length of the component
Wind Deflection Report: Empty, Corroded, Vortex Shedding
Component Elevation of
bottom above base (mm)
Effective OD (m)
Elastic modulusE (kg/cm²)
InertiaI (m4)
Platform wind shear atBottom (kgf)
Total windshear at
Bottom (kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 2,062,603.9 * 0 556.3 154.6 9.49
Shell 7,877.41 2.16 2,062,603.9 0.02875 0 5,223.5 23,842.6 9.01
Bottom Head (top) 7,776 2.16 2,062,603.9 * 0 5,233.7 24,372.9 3.55
Support Skirt 1 7,106 2.02 2,062,603.9 0.02232 0 5,297.1 27,899 3.48
Support Skirt 2 5,606 2.02 2,062,603.9 0.02232 0 5,438.9 35,950.9 2.97
Support Skirt 3 4,106 2.02 2,062,603.9 0.02232 0 5,580.7 44,215.6 1.95
Support Skirt 4 2,606 2.02 2,062,603.9 0.02232 0 5,722.5 52,693 1.1
Support Skirt 5 1,512 2.02 2,062,603.9 0.02232 0 5,825.9 59,010 0.46
Support Skirt 6 0 2.02 2,062,603.9 0.02232 0 5,968.9 67,926.8 0.16
*Moment of Inertia I varies over the length of the component
V-8601 63
Wind Deflection Report: Vacuum, Corroded, Vortex Shedding
Component Elevation of
bottom above base (mm)
Effective OD (m)
Elastic modulusE (kg/cm²)
InertiaI (m4)
Platform wind shear atBottom (kgf)
Total windshear at
Bottom (kgf)
bending moment at
Bottom (kgf-m)
Deflectionat top (mm)
Top Head 14,301.41 2.16 1,988,447.9 * 0 197.4 55.9 3.82
Shell 7,877.41 2.16 1,988,447.9 0.02875 0 2,002.9 9,336.1 3.63
Bottom Head (top) 7,776 2.16 1,988,447.9 * 0 2,013.2 9,539.7 1.44
Support Skirt 1 7,106 2.02 2,059,828.1 0.02232 0 2,076.5 10,908 1.41
Support Skirt 2 5,606 2.02 2,059,828.1 0.02232 0 2,218.3 14,129.1 1.2
Support Skirt 3 4,106 2.02 2,059,828.1 0.02232 0 2,360.1 17,563 0.79
Support Skirt 4 2,606 2.02 2,059,828.1 0.02232 0 2,501.9 21,209.5 0.45
Support Skirt 5 1,512 2.02 2,059,828.1 0.02232 0 2,605.4 24,003.2 0.19
Support Skirt 6 0 2.02 2,059,828.1 0.02232 0 2,748.3 28,050.6 0.07
*Moment of Inertia I varies over the length of the component
Wind Pressure (WP) Calculations Gust Factor (G¯) Calculations Kz = 2.01 * (Z/Zg)2/α
= 2.01 * (Z/274.3200)0.2105 qz = 0.613 * Kz * Kzt * Kd * V2
= 0.613 * Kz * 1.0000 * 1.0000 * 40.00002 = 980.8002 * Kz
WP = 0.6 * qz * G * Cf (Minimum 0.0077 bar) = 0.6 * qz * G * 0.8000 (Minimum 0.0077 bar)
Design Wind Pressures
Height Z (m) Kz qz
(bar) WP: Operating
(bar) WP: Empty
(bar) WP: Hydrotest New
(bar) WP: Hydrotest Corroded
(bar) WP: Vacuum
(bar)
4.6 0.8489 0.0083 0.0046 0.0046 0.0046 0.0046 0.0046
6.1 0.9019 0.0089 0.0046 0.0046 0.0046 0.0046 0.0046
7.6 0.9453 0.0093 0.0046 0.0046 0.0046 0.0046 0.0046
9.1 0.9823 0.0096 0.0046 0.0046 0.0046 0.0046 0.0046
12.2 1.0436 0.0102 0.0046 0.0046 0.0046 0.0046 0.0046
15.2 1.0938 0.0107 0.0046 0.0046 0.0046 0.0046 0.0046
Design Wind Force determined from: F = Pressure * Af , where Af is the projected area.
V-8601 64
Vortex Shedding Calculations Vortex shedding calculations are based on NBC 1995 building code, Structural Commentaries (Part 4). Average diameter of vessel (upper third): D = 6.4155 ft (1955.44 mm) Aspect ratio: Ar = 7.5940 Vortex shedding factor, Operating, Corroded: C1 = 2.0668 Vortex shedding factor, Operating, Corroded: C2 = 0.6000 Vortex shedding factor, Empty, Corroded: C1 = 2.0668 Vortex shedding factor, Empty, Corroded: C2 = 0.6000 Vortex shedding factor, Vacuum, Corroded: C1 = 2.0668 Vortex shedding factor, Vacuum, Corroded: C2 = 0.6000 Weight per foot of vessel, Operating, Corroded, (upper third): M = 3,582.5403 lb/ft (53.3141 kg/cm) Strouhal number, Operating, Corroded: S = 0.2000 Weight per foot of vessel, Empty, Corroded, (upper third): M = 1,562.0673 lb/ft (23.2461 kg/cm) Strouhal number, Empty, Corroded: S = 0.2000 Weight per foot of vessel, Vacuum, Corroded, (upper third): M = 3,582.5403 lb/ft (53.3141 kg/cm) Strouhal number, Vacuum, Corroded: S = 0.2000 Critical wind speed at top of vessel, Vh = (n*D/S)*(3600/5280) mph Operating, Corroded: Vh = (2.5180*6.4155/0.2000)*(3600/5280) = 55.0710 mph (88.6283 km/h) Empty, Corroded: Vh = (4.0279*6.4155/0.2000)*(3600/5280) = 88.0944 mph (141.7741 km/h) Vacuum, Corroded: Vh = (2.5180*6.4155/0.2000)*(3600/5280) = 55.0710 mph (88.6283 km/h) Reference wind speed corresponding to critical wind speed, VRef Operating, Corroded: VRef = 52.8584 mph (85.0674 km/h) Empty, Corroded: VRef = 84.5549 mph (136.0779 km/h) Vacuum, Corroded: VRef = 52.8584 mph (85.0674 km/h) Corresponding reference wind speed, VRef Operating, Corroded: VRef = 89.4775 mph (144.0000 km/h) Empty, Corroded: VRef = 89.4775 mph (144.0000 km/h) Vacuum, Corroded: VRef = 89.4775 mph (144.0000 km/h) Corresponding pressure at top of vessel, qh = 0.00256 * Vh
2 Operating, Corroded: qh = 0.00256 * (55.0710)2 = 7.7640 psf (0 bar) Empty, Corroded: qh = 0.00256 * (88.0944)2 = 19.8672 psf (0.01 bar) Vacuum, Corroded: qh = 0.00256 * (55.0710)2 = 7.7640 psf (0 bar) Equivalent static loading, FL = qh*C1*D / (SQR(Ar)*SQR(β - (C2*R0*D2/M))) Operating, Corroded: FL = 7.7640*2.0668*6.4155 / (SQR(7.5940)*SQR(0.0258 - (0.6000*0.0765*(6.4155)2/3,582.5403)))
= 235.2119 lb/ft (3.5003 kg/cm) Empty, Corroded: FL = 19.8672*2.0668*6.4155 / (SQR(7.5940)*SQR(0.0210 - (0.6000*0.0765*(6.4155)2/1,562.0673)))
= 679.5112 lb/ft (10.1122 kg/cm) Vacuum, Corroded: FL = 7.7640*2.0668*6.4155 / (SQR(7.5940)*SQR(0.0258 - (0.6000*0.0765*(6.4155)2/3,582.5403)))
= 235.2119 lb/ft (3.5003 kg/cm)
V-8601 65
Static loading FL is applied throughout the top third of the vessel Wind Pressures at Critical Wind Speed: Operating, Corroded (Vh = 24.6190 m/sec) Kz = 2.01 * (Z/Zg)2/α
= 2.01 * (Z/274.3200)0.2105 qz = 0.613 * Kz * Kd * Kzt * Vh2 * I
= 0.613 * Kz * 1.0000 * 1.0000 * (24.6190)2 * 1.0000 = 371.5352 * Kz
WP = qz * G¯ * Cf = qz * 0.8891 * 0.8000
Height Z(m) Kz qz(bar) WP(bar)
4.6 0.8489 0.0032 0.0013
6.1 0.9019 0.0034 0.0014
7.6 0.9453 0.0035 0.0015
9.1 0.9823 0.0037 0.0016
12.2 1.0436 0.0039 0.0017
15.2 1.0938 0.0041 0.0017
Wind Pressures at Critical Wind Speed: Empty, Corroded (Vh = 39.3817 m/sec) Kz = 2.01 * (Z/Zg)2/α
= 2.01 * (Z/274.3200)0.2105 qz = 0.613 * Kz * Kd * Kzt * Vh2 * I
= 0.613 * Kz * 1.0000 * 1.0000 * (39.3817)2 * 1.0000 = 950.7130 * Kz
WP = qz * G¯ * Cf = qz * 0.8891 * 0.8000
Height Z(m) Kz qz(bar) WP(bar)
4.6 0.8489 0.0081 0.0034
6.1 0.9019 0.0086 0.0037
7.6 0.9453 0.0090 0.0038
9.1 0.9823 0.0093 0.0040
12.2 1.0436 0.0099 0.0042
15.2 1.0938 0.0104 0.0044
V-8601 66
Wind Pressures at Critical Wind Speed: Vacuum, Corroded (Vh = 24.6190 m/sec) Kz = 2.01 * (Z/Zg)2/α
= 2.01 * (Z/274.3200)0.2105 qz = 0.613 * Kz * Kd * Kzt * Vh2* I
= 0.613 * Kz * 1.0000 * 1.0000 * (24.6190)2 * 1.0000 = 371.5352 * Kz
WP = qz * G¯ * Cf = qz * 0.8891 * 0.8000
Height Z(m) Kz qz(bar) WP(bar)
4.6 0.8489 0.0032 0.0013
6.1 0.9019 0.0034 0.0014
7.6 0.9453 0.0035 0.0015
9.1 0.9823 0.0037 0.0016
12.2 1.0436 0.0039 0.0017
15.2 1.0938 0.0041 0.0017
Gust Factor Calculations Operating, Corroded Empty, Corroded Vacuum, Corroded Hydrotest, New, field Hydrotest, Corroded, field Operating, Corroded, Vortex Shedding Empty, Corroded, Vortex Shedding Vacuum, Corroded, Vortex Shedding Gust Factor Calculations: Operating, Corroded Vessel is considered a rigid structure as n1 = 2.5180 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
V-8601 67
Gust Factor Calculations: Empty, Corroded Vessel is considered a rigid structure as n1 = 4.0279 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
Gust Factor Calculations: Vacuum, Corroded Vessel is considered a rigid structure as n1 = 2.5180 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
Gust Factor Calculations: Hydrotest, New, field Vessel is considered a rigid structure as n1 = 3.1342 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
V-8601 68
Gust Factor Calculations: Hydrotest, Corroded, field Vessel is considered a rigid structure as n1 = 2.7039 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
Gust Factor Calculations: Operating, Corroded, Vortex Shedding Vessel is considered a rigid structure as n1 = 2.5180 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
Gust Factor Calculations: Empty, Corroded, Vortex Shedding Vessel is considered a rigid structure as n1 = 4.0279 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
V-8601 69
Gust Factor Calculations: Vacuum, Corroded, Vortex Shedding Vessel is considered a rigid structure as n1 = 2.5180 Hz ≥ 1 Hz. z¯ = max ( 0.60 * h , zmin )
= max ( 0.60 * 48.7194 , 15.0000 ) = 29.2316
Iz¯ = c * (33 / z¯)1/6 = 0.2000 * (33 / 29.2316)1/6 = 0.2041
Lz¯ = l * (z¯ / 33)ep = 500.0000 * (29.2316 / 33)0.2000 = 488.0202
Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)) = Sqr(1 / (1 + 0.63 * ((7.0866 + 48.7194) / 488.0202)0.63)) = 0.9282
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯) = 0.925 * (1 + 1.7 * 3.40* 0.2041 * 0.9282) / (1 + 1.7 * 3.40 * 0.2041)= 0.8891
Table Lookup Values α = 9.5000, zg = 274.3200 m [Table 26.9-1, page 256] c = 0.2000, l = 500.0000, ep = 0.2000 [Table 26.9-1, page 256] a¯ = 0.1538, b¯ = 0.6500 [Table 26.9-1, page 256] zmin = 15.0000 ft [Table 26.9-1, page 256] gQ = 3.40 [26.9.4 page 254] gv = 3.40 [26.9.4 page 254]
V-8601 70
Shell ASME Section VIII Division 1, 2010 Edition Metric Component: CylinderMaterial specification: SA-516 60 (II-D Metric p. 10, ln. 27)Material impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 22.7 °C, (coincident ratio = 0.605) Rated MDMT of -84.83°C is limited to -48°C by UCS-66(b)(2) UCS-66 governing thickness = 15 mm Internal design pressure: P = 2.6 bar @ 150 °C External design pressure: Pe = 1.03 bar @ 150 °C Static liquid head: Ps = 0.7 bar (SG = 0.987, Hs = 7,270 mm,Operating head)Pth = 0.22 bar (SG = 1, Hs = 2,250 mm, Horizontal test head)Ptv = 0.71 bar (SG = 1, Hs = 7,270 mm, Vertical test head)Corrosion allowance Inner C = 6 mm Outer C = 0 mmDesign MDMT = 15 °C No impact test performedRated MDMT = -48 °C Material is normalized
Material is not produced to Fine Grain PracticePWHT is performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1Top circumferential joint - Full UW-11(a) Type 1Bottom circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 4,662.3 kg corr = 2,806.1 kg Capacity New = 19,980.28 liters corr = 20,221.96 litersID = 1,990 mmLength Lc = 6,424 mmt = 15 mm Insulation thk: 70 mm density: 1,000 kg/m3 Weight: 2,952.6 kg
Insulation Support Spacing: 400 mm Individual Support Weight: 40 kg Total Support
Weight: 640 kg
Design thickness, (at 150 °C) UG-27(c)(1) t = P*R / (S*E - 0.60*P) + Corrosion
= 3.3*1,001 / (1,180*1.00 - 0.60*3.3) + 6 = 8.81 mm
Maximum allowable working pressure, (at 150 °C) UG-27(c)(1) P = S*E*t / (R + 0.60*t) - Ps
= 1,180*1.00*9 / (1,001 + 0.60*9) - 0.7= 9.85 bar
Maximum allowable pressure, (at 25 °C) UG-27(c)(1) P = S*E*t / (R + 0.60*t)
= 1,180*1.00*15 / (995 + 0.60*15)= 17.63 bar
External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 3,417.83 / 2,020 = 1.6920 Do / t = 2,020 / 8.11 = 249.0293From table G: A = 0.000195 From table CS-2 Metric: B = 196.9709 kg/cm2 (193.16 bar)Pa = 4*B / (3*(Do / t))
= 4*193.16 / (3*(2,020 / 8.11)) = 1.03 bar
Design thickness for external pressure Pa = 1.03 bar ta = t + Corrosion = 8.11 + 6 = 14.11 mm
V-8601 71
Maximum Allowable External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 3,417.83 / 2,020 = 1.6920 Do / t = 2,020 / 9 = 224.4315From table G: A = 0.000233 From table CS-2 Metric: B = 235.0941 kg/cm2 (230.548 bar)Pa = 4*B / (3*(Do / t))
= 4*230.55 / (3*(2,020 / 9))= 1.37 bar
% Extreme fiber elongation - UCS-79(d) EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*15 / 1,002.5)*(1 - 1,002.5 / ∞) = 0.7481%
The extreme fiber elongation does not exceed 5%. External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104) Pv = W / (2*π*Rm) + M / (π*Rm
2)= 10*13,332.7 / (2*π*1,005.5) + 10000*3,428.8 / (π*1,005.52)= 31.8985 kg/cm
α = Pv / (Pe*Do) = 9.803*31.8985 / (1.03*2,020)= 0.1497
n = 4
m = 1.23 / (L / Do)2 = 1.23 / (3,417.83 / 2,020)2 = 0.4296
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (42 - 1 + 0.4296 + 0.4296*0.1497) / (42 - 1 + 0.4296)= 1.0042
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory. Design thickness = 14.11 mm The governing condition is due to external pressure. The cylinder thickness of 15 mm is adequate.
V-8601 72
Thickness Required Due to Pressure + External Loads
Condition Pressure P ( bar)
Allowable Stress Before UG-23 Stress Increase (
kg/cm2) Temperature (
°C) Corrosion
C (mm) Load Req'd Thk
Due to Tension (mm)
Req'd Thk Due to Compression (mm)
St Sc
Operating, Hot & Corroded
2.6 1,203.3 891.3 150 6 Wind 0.91 0.7
Operating, Hot & New 2.6 1,203.3 1,028.6 150 0 Wind 0.89 0.67
Hot Shut Down, Corroded
0 1,203.3 891.3 150 6 Wind 0.02 0.3
Hot Shut Down, New 0 1,203.3 1,028.6 150 0 Wind 0.03 0.29
Empty, Corroded 0 1,203.3 891.3 21.11 6 Wind 0.02 0.3
Empty, New 0 1,203.3 1,028.6 21.11 0 Wind 0.03 0.29
Vacuum -1.03 1,203.3 891.3 150 6 Wind 0.51 0.79
Hot Shut Down, Corroded, Weight & Eccentric Moments Only
0 1,203.3 891.3 150 6 Weight 0.2 0.27
Operating, Hot & Corroded, Vortex Shedding
2.6 1,203.3 891.3 150 6 Wind 1.03 0.57
Empty, Cold & Corroded, Vortex Shedding
0 1,203.3 891.3 21.11 6 Wind 0.43 0.9
Vacuum, Vortex Shedding
-1.03 1,203.3 891.3 150 6 Wind 0.34 0.97
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScHC = min(B, S) = 891.3 kg/cm2 Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 15)= 0.001856
B = 1,028.6 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScHN = min(B, S) = 1,028.6 kg/cm2 Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 15)= 0.001856
B = 1,028.6 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScCN = min(B, S) = 1,028.6 kg/cm2
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Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScCC = min(B, S) = 891.3 kg/cm2 Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScVC = min(B, S) = 891.3 kg/cm2 Operating, Hot & Corroded, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 2.6*1,001 / (2*1,180*1.20*1.00 + 0.40*|2.6|) = 0.92 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 3,428.8 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0.07 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0.09 mm
tt = tp + tm - tw (total required, tensile)= 0.92 + 0.07 - (0.09) = 0.91 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665 = 0.15 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0.07 + (0.15) - (0.92)| = 0.7 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(9 - 0.07 + (0.09)) / (1,001 - 0.40*(9 - 0.07 + (0.09)))= 25.59 bar
Operating, Hot & New, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 2.6*995 / (2*1,180*1.20*1.00 + 0.40*|2.6|) = 0.91 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 3,478.9 / (π*1,002.52*1,180*1.20*1.00) * 98066.5 = 0.08 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*15,501.1 / (2*π*1,002.5*1,180*1.20*1.00) * 98.0665= 0.1 mm
V-8601 74
tt = tp + tm - tw (total required, tensile)= 0.91 + 0.08 - (0.1) = 0.89 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 15,501.1 / (2*π*1,002.5*1,180*1.20*1.00) * 98.0665 = 0.17 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0.08 + (0.17) - (0.91)| = 0.67 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(15 - 0.08 + (0.1)) / (995 - 0.40*(15 - 0.08 + (0.1)))= 43.03 bar
Hot Shut Down, Corroded, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,428.8 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.1 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.1 - (0.12)| = 0.02 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.1 + (0.2) - (0) = 0.3 mm
Hot Shut Down, New, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,478.9 / (π*1,002.52*1,008.7*1.20) * 98066.5 = 0.09 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*15,501.1 / (2*π*1,002.5*1,008.7*1.20) * 98.0665= 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.09 - (0.12)| = 0.03 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 15,501.1 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.09 + (0.2) - (0) = 0.29 mm
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Empty, Corroded, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,428.8 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.1 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.1 - (0.12)| = 0.02 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.1 + (0.2) - (0) = 0.3 mm
Empty, New, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,478.9 / (π*1,002.52*1,008.7*1.20) * 98066.5 = 0.09 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*15,501.1 / (2*π*1,002.5*1,008.7*1.20) * 98.0665= 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.09 - (0.12)| = 0.03 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 15,501.1 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.09 + (0.2) - (0) = 0.29 mm
Vacuum, Wind, Bottom Seam tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*1,001 / (2*874.05*1.20 + 0.40*|1.03|) = -0.49 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 3,428.8 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.1 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.49 + 0.1 - (0.12)| = 0.51 mm
V-8601 76
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.1 + (0.2) - (-0.49) = 0.79 mm
Maximum Allowable External Pressure, Longitudinal Stress P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*874.05*1.20*(9 - 0.1 - 0.2) / (1,001 - 0.40*(9 - 0.1 - 0.2))= 18.3 bar
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 1,039.8 / (π*1,005.52*874.05*1.00) * 98066.5 = 0.04 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*874.05*1.00) * 98.0665 = 0.24 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.04 - (0.24)| = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.04 + (0.24) - (0) = 0.27 mm
Operating, Hot & Corroded, Vortex Shedding, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 2.6*1,001 / (2*1,180*1.20*1.00 + 0.40*|2.6|) = 0.92 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 9,336.1 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0.2 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0.09 mm
tt = tp + tm - tw (total required, tensile)= 0.92 + 0.2 - (0.09) = 1.03 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665 = 0.15 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0.2 + (0.15) - (0.92)| = 0.57 mm
V-8601 77
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(9 - 0.2 + (0.09)) / (1,001 - 0.40*(9 - 0.2 + (0.09)))= 25.23 bar
Empty, Cold & Corroded, Vortex Shedding, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 23,842.6 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0.52 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0.09 mm
tt = tp + tm - tw (total required, tensile)= 0 + 0.52 - (0.09) = 0.43 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 23,842.6 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.7 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.7 + (0.2) - (0) = 0.9 mm
Vacuum, Vortex Shedding, Wind, Bottom Seam tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*1,001 / (2*874.05*1.20 + 0.40*|1.03|) = -0.49 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 9,336.1 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.27 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.49 + 0.27 - (0.12)| = 0.34 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,332.7 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.27 + (0.2) - (-0.49) = 0.97 mm
Maximum Allowable External Pressure, Longitudinal Stress P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*874.05*1.20*(9 - 0.27 - 0.2) / (1,001 - 0.40*(9 - 0.27 - 0.2))= 17.93 bar
V-8601 78
Top Head ASME Section VIII, Division 1, 2010 Edition Metric Component: Ellipsoidal Head Material Specification: SA-516 60 (II-D Metric p.10, ln. 27)Material impact test exemption temperature from Fig UCS-66M Curve D = -47.94 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 15.7 °C, (coincident ratio = 0.7201) Rated MDMT of -80.64°C is limited to -48°C by UCS-66(b)(2) UCS-66 governing thickness = 12.75 mm Internal design pressure: P = 2.6 bar @ 150 °C External design pressure: Pe = 1.03 bar @ 150 °C Static liquid head: Ps= 0.08 bar (SG=0.987, Hs=808 mm Operating head) Pth= 0.22 bar (SG=1, Hs=2250 mm Horizontal test head) Ptv= 0.08 bar (SG=1, Hs=808 mm Vertical test head) Corrosion allowance: Inner C = 6 mm Outer C = 0 mmDesign MDMT = 15°C No impact test performed Rated MDMT = -48°C Material is normalized
Material is not produced to fine grain practice PWHT is performed Do not Optimize MDMT / Find MAWP
Radiography: Category A joints - Full UW-11(a) Type 1
Head to shell seam - Full UW-11(a) Type 1 Estimated weight*: new = 482.8 kg corr = 259.5 kg Capacity*: new = 1,149.8 liters corr = 1,176.3 liters* includes straight flange Inner diameter = 1990 mm Minimum head thickness = 12.75 mm Head ratio D/2h = 2 (new) Head ratio D/2h = 1.9881 (corroded)Straight flange length Lsf = 38 mm Nominal straight flange thickness tsf = 15 mm Insulation thk*: 70 mm density: 999.9998 kg/m3 weight: 343.7283 kg Insulation support ring spacing: 400 mm individual weight: 40 kg total weight: 40 kg * includes straight flange if applicable Results Summary The governing condition is external pressure. Minimum thickness per UG-16 = 1.5 mm + 6 mm = 7.5 mmDesign thickness due to internal pressure (t) = 8.26 mmDesign thickness due to external pressure (te) = 11.18 mmMaximum allowable working pressure (MAWP) = 7.94 barMaximum allowable pressure (MAP) = 15.1 barMaximum allowable external pressure (MAEP) = 1.76 bar K (Corroded) K
= (1/6)*[2 + (D / (2*h))2]
= (1/6)*[2 + (2,002 / (2*503.5))2] = 0.99208
K (New) K
= (1/6)*[2 + (D / (2*h))2]
= (1/6)*[2 + (1,990 / (2*497.5))2] = 1
V-8601 79
Design thickness for internal pressure, (Corroded at 150 °C) Appendix 1-4(c) t = P*D*K / (2*S*E - 0.2*P) + Corrosion
= 2.68*2,002*0.99208 / (2*1,180*1 - 0.2*2.68) + 6= 8.25 mm
The head internal pressure design thickness is 8.26 mm. Maximum allowable working pressure, (Corroded at 150 °C) Appendix 1-4(c) P = 2*S*E*t / (K*D + 0.2*t) - Ps
= 2*1,180*1*6.75 / (0.99208*2,002 +0.2*6.75) - 0.08= 7.94 bar
The maximum allowable working pressure (MAWP) is 7.94 bar. Maximum allowable pressure, (New at 25 °C) Appendix 1-4(c) P = 2*S*E*t / (K*D + 0.2*t) - Ps
= 2*1,180*1*12.75 / (1*1,990 +0.2*12.75) - 0 = 15.1 bar
The maximum allowable pressure (MAP) is 15.1 bar. Design thickness for external pressure, (Corroded at 150 °C) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do
= 0.8888*2,015.5 = 1,791.29 mm
A = 0.125 / (Ro / t)
= 0.125 / (1,791.29 / 5.18) = 0.000361
From Table CS-2 Metric: B = 365.036 kgf/cm2 Pa = B / (Ro / t)
= 357.9783 / (1,791.29 / 5.18) = 1.0342 bar
t = 5.18 mm + Corrosion = 5.18 mm + 6 mm = 11.17 mmCheck the external pressure per UG-33(a)(1) Appendix 1-4(c) t = 1.67*Pe*D*K / (2*S*E - 0.2*1.67*Pe) + Corrosion
= 1.67*1.03*2,002*0.99208 / (2*1,180*1 - 0.2*1.67*1.03) + 6= 7.45 mm
The head external pressure design thickness (te) is 11.17 mm. Maximum Allowable External Pressure, (Corroded at 150 °C) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do
= 0.8888*2,015.5 = 1,791.29 mm
A = 0.125 / (Ro / t)
= 0.125 / (1,791.29 / 6.75) = 0.000471
From Table CS-2 Metric: B = 476.7578 kgf/cm2 Pa = B / (Ro / t)
= 467.5401 / (1,791.29 / 6.75) = 1.7619 bar
Check the Maximum External Pressure, UG-33(a)(1) Appendix 1-4(c) P = 2*S*E*t / ((K*D + 0.2*t)*1.67) - Ps2
= 2*1,180*1*6.75 / ((0.99208*2,002 +0.2*6.75)*1.67) - 0= 4.8 bar
The maximum allowable external pressure (MAEP) is 1.76 bar.
V-8601 80
% Extreme fiber elongation - UCS-79(d) EFE = (75*t / Rf)*(1 - Rf / Ro)
= (75*15 / 345.8)*(1 - 345.8 / ?) = 3.2533%
The extreme fiber elongation does not exceed 5%.
V-8601 81
Straight Flange on Top Head ASME Section VIII Division 1, 2010 Edition Metric Component: Straight FlangeMaterial specification: SA-516 60 (II-D Metric p. 10, ln. 27)Material impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 27.3 °C, (coincident ratio = 0.5461) Rated MDMT of -89.43°C is limited to -48°C by UCS-66(b)(2) UCS-66 governing thickness = 15 mm Internal design pressure: P = 2.6 bar @ 150 °C External design pressure: Pe = 1.03 bar @ 150 °C Static liquid head: Ps = 0.08 bar (SG = 0.987, Hs = 846 mm,Operating head)Pth = 0.22 bar (SG = 1, Hs = 2,250 mm, Horizontal test head)Ptv = 0.08 bar (SG = 1, Hs = 846 mm, Vertical test head)Corrosion allowance Inner C = 6 mm Outer C = 0 mmDesign MDMT = 15 °C No impact test performedRated MDMT = -48 °C Material is normalized
Material is not produced to Fine Grain PracticePWHT is performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1Circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 28.1 kg corr = 16.9 kg Capacity New = 118.19 liters corr = 119.62 liters ID = 1,990 mmLength Lc = 38 mm t = 15 mm Insulation thk: 70 mm density: 1,000 kg/m3 Weight: 0 kg Design thickness, (at 150 °C) UG-27(c)(1) t = P*R / (S*E - 0.60*P) + Corrosion
= 2.68*1,001 / (1,180*1.00 - 0.60*2.68) + 6 = 8.28 mm
Maximum allowable working pressure, (at 150 °C) UG-27(c)(1) P = S*E*t / (R + 0.60*t) - Ps
= 1,180*1.00*9 / (1,001 + 0.60*9) - 0.08 = 10.47 bar
Maximum allowable pressure, (at 25 °C) UG-27(c)(1) P = S*E*t / (R + 0.60*t)
= 1,180*1.00*15 / (995 + 0.60*15)= 17.63 bar
External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 3,417.83 / 2,020 = 1.6920 Do / t = 2,020 / 8.11 = 249.0293From table G: A = 0.000195 From table CS-2 Metric: B = 196.9709 kg/cm2 (193.16 bar)Pa = 4*B / (3*(Do / t))
= 4*193.16 / (3*(2,020 / 8.11)) = 1.03 bar
Design thickness for external pressure Pa = 1.03 bar ta = t + Corrosion = 8.11 + 6 = 14.11 mm Maximum Allowable External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 3,417.83 / 2,020 = 1.6920 Do / t = 2,020 / 9 = 224.4315From table G: A = 0.000233 From table CS-2 Metric: B = 235.0941 kg/cm2 (230.548 bar)Pa = 4*B / (3*(Do / t))
= 4*230.55 / (3*(2,020 / 9))= 1.37 bar
V-8601 82
% Extreme fiber elongation - UCS-79(d) EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*15 / 1,002.5)*(1 - 1,002.5 / ∞) = 0.7481%
The extreme fiber elongation does not exceed 5%. Design thickness = 14.11 mm The governing condition is due to external pressure. The cylinder thickness of 15 mm is adequate. Thickness Required Due to Pressure + External Loads
Condition Pressure P ( bar)
Allowable Stress Before UG-23 Stress Increase (
kg/cm2) Temperature (
°C) Corrosion
C (mm) Load Req'd Thk
Due to Tension (mm)
Req'd Thk Due to Compression (mm)
St Sc
Operating, Hot & Corroded
2.6 1,203.3 891.3 150 6 Wind 0.91 0.91
Operating, Hot & New 2.6 1,203.3 1,028.6 150 0 Wind 0.91 0.9
Hot Shut Down, Corroded
0 1,203.3 891.3 150 6 Wind 0.01 0.01
Hot Shut Down, New 0 1,203.3 1,028.6 150 0 Wind 0.01 0.01
Empty, Corroded 0 1,203.3 891.3 21.11 6 Wind 0.01 0.01
Empty, New 0 1,203.3 1,028.6 21.11 0 Wind 0.01 0.01
Vacuum -1.03 1,203.3 891.3 150 6 Wind 0.5 0.5
Hot Shut Down, Corroded, Weight & Eccentric Moments Only
0 1,203.3 891.3 150 6 Weight 0.01 0.01
Operating, Hot & Corroded, Vortex Shedding
2.6 1,203.3 891.3 150 6 Wind 0.92 0.91
Empty, Cold & Corroded, Vortex Shedding
0 1,203.3 891.3 21.11 6 Wind 0 0.01
Vacuum, Vortex Shedding
-1.03 1,203.3 891.3 150 6 Wind 0.5 0.5
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScHC = min(B, S) = 891.3 kg/cm2
V-8601 83
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 15)= 0.001856
B = 1,028.6 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScHN = min(B, S) = 1,028.6 kg/cm2 Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 15)= 0.001856
B = 1,028.6 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScCN = min(B, S) = 1,028.6 kg/cm2 Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScCC = min(B, S) = 891.3 kg/cm2 Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScVC = min(B, S) = 891.3 kg/cm2 Operating, Hot & Corroded, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 2.6*1,001 / (2*1,180*1.20*1.00 + 0.40*|2.6|) = 0.92 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 12.8 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0 mm
tt = tp + tm - tw (total required, tensile)= 0.92 + 0 - (0) = 0.91 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665 = 0.01 mm
V-8601 84
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0.01) - (0.92)| = 0.91 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(9 - 0 + (0)) / (1,001 - 0.40*(9 - 0 + (0)))= 25.57 bar
Operating, Hot & New, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 2.6*995 / (2*1,180*1.20*1.00 + 0.40*|2.6|) = 0.91 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 13.8 / (π*1,002.52*1,180*1.20*1.00) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*902.5 / (2*π*1,002.5*1,180*1.20*1.00) * 98.0665= 0.01 mm
tt = tp + tm - tw (total required, tensile)= 0.91 + 0 - (0.01) = 0.91 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 902.5 / (2*π*1,002.5*1,180*1.20*1.00) * 98.0665 = 0.01 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0.01) - (0.91)| = 0.9 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(15 - 0 + (0.01)) / (995 - 0.40*(15 - 0 + (0.01)))= 42.97 bar
Hot Shut Down, Corroded, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 12.8 / (π*1,005.52*874.05*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)| = 0.01 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0) = 0.01 mm
V-8601 85
Hot Shut Down, New, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 13.8 / (π*1,002.52*1,008.7*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*902.5 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)| = 0.01 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 902.5 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0) = 0.01 mm
Empty, Corroded, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 12.8 / (π*1,005.52*874.05*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)| = 0.01 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0) = 0.01 mm
Empty, New, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 13.8 / (π*1,002.52*1,008.7*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*902.5 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)| = 0.01 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 902.5 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.01 mm
V-8601 86
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0) = 0.01 mm
Vacuum, Wind, Bottom Seam tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*1,001 / (2*874.05*1.20 + 0.40*|1.03|) = -0.49 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 12.8 / (π*1,005.52*874.05*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.49 + 0 - (0.01)| = 0.5 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (-0.49) = 0.5 mm
Maximum Allowable External Pressure, Longitudinal Stress P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*874.05*1.20*(9 - 0 - 0.01) / (1,001 - 0.40*(9 - 0 - 0.01))= 18.91 bar
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 2.2 / (π*1,005.52*874.05*1.00) * 98066.5 = 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*874.05*1.00) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)| = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0) = 0.01 mm
V-8601 87
Operating, Hot & Corroded, Vortex Shedding, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 2.6*1,001 / (2*1,180*1.20*1.00 + 0.40*|2.6|) = 0.92 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 55.9 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0 mm
tt = tp + tm - tw (total required, tensile)= 0.92 + 0 - (0) = 0.92 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665 = 0.01 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0.01) - (0.92)| = 0.91 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(9 - 0 + (0)) / (1,001 - 0.40*(9 - 0 + (0)))= 25.56 bar
Empty, Cold & Corroded, Vortex Shedding, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 154.6 / (π*1,005.52*874.05*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)| = 0 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0) = 0.01 mm
V-8601 88
Vacuum, Vortex Shedding, Wind, Bottom Seam tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*1,001 / (2*874.05*1.20 + 0.40*|1.03|) = -0.49 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 55.9 / (π*1,005.52*874.05*1.20) * 98066.5 = 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.49 + 0 - (0.01)| = 0.5 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 667.9 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (-0.49) = 0.5 mm
Maximum Allowable External Pressure, Longitudinal Stress P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*874.05*1.20*(9 - 0 - 0.01) / (1,001 - 0.40*(9 - 0 - 0.01))= 18.91 bar
V-8601 89
Bottom Head ASME Section VIII, Division 1, 2010 Edition Metric Component: Ellipsoidal Head Material Specification: SA-516 60 (II-D Metric p.10, ln. 27)Material impact test exemption temperature from Fig UCS-66M Curve D = -47.94 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 10.9 °C, (coincident ratio = 0.8046) Rated MDMT of -75.84°C is limited to -48°C by UCS-66(b)(2) UCS-66 governing thickness = 12.75 mm Internal design pressure: P = 2.6 bar @ 150 °C External design pressure: Pe = 1.03 bar @ 150 °C Static liquid head: Ps= 0.76 bar (SG=0.987, Hs=7811.5 mm Operating head) Pth= 0.22 bar (SG=1, Hs=2250 mm Horizontal test head) Ptv= 0.76 bar (SG=1, Hs=7805.5 mm Vertical test head) Corrosion allowance: Inner C = 6 mm Outer C = 0 mmDesign MDMT = 15°C No impact test performed Rated MDMT = -48°C Material is normalized
Material is not produced to fine grain practice PWHT is performed Do not Optimize MDMT / Find MAWP
Radiography: Category A joints - Full UW-11(a) Type 1
Head to shell seam - Full UW-11(a) Type 1 Estimated weight*: new = 490.4 kg corr = 263.5 kg Capacity*: new = 1,149.8 liters corr = 1,176.3 liters* includes straight flange Inner diameter = 1990 mm Minimum head thickness = 12.75 mm Head ratio D/2h = 2 (new) Head ratio D/2h = 1.9881 (corroded)Straight flange length Lsf = 38 mm Nominal straight flange thickness tsf = 15 mm Insulation thk*: 70 mm density: 999.9998 kg/m3 weight: 343.7283 kg Insulation support ring spacing: 400 mm individual weight: 40 kg total weight: 40 kg * includes straight flange if applicable Results Summary The governing condition is external pressure. Minimum thickness per UG-16 = 1.5 mm + 6 mm = 7.5 mmDesign thickness due to internal pressure (t) = 8.83 mmDesign thickness due to external pressure (te) = 11.18 mmMaximum allowable working pressure (MAWP) = 7.26 barMaximum allowable pressure (MAP) = 15.1 barMaximum allowable external pressure (MAEP) = 1.76 bar K (Corroded) K
= (1/6)*[2 + (D / (2*h))2]
= (1/6)*[2 + (2,002 / (2*503.5))2] = 0.99208
K (New) K
= (1/6)*[2 + (D / (2*h))2]
= (1/6)*[2 + (1,990 / (2*497.5))2] = 1
Design thickness for internal pressure, (Corroded at 150 °C) Appendix 1-4(c) t = P*D*K / (2*S*E - 0.2*P) + Corrosion
= 3.36*2,002*0.99208 / (2*1,180*1 - 0.2*3.36) + 6= 8.82 mm
The head internal pressure design thickness is 8.83 mm.
V-8601 90
Maximum allowable working pressure, (Corroded at 150 °C) Appendix 1-4(c) P = 2*S*E*t / (K*D + 0.2*t) - Ps
= 2*1,180*1*6.75 / (0.99208*2,002 +0.2*6.75) - 0.76= 7.26 bar
The maximum allowable working pressure (MAWP) is 7.26 bar. Maximum allowable pressure, (New at 25 °C) Appendix 1-4(c) P = 2*S*E*t / (K*D + 0.2*t) - Ps
= 2*1,180*1*12.75 / (1*1,990 +0.2*12.75) - 0 = 15.1 bar
The maximum allowable pressure (MAP) is 15.1 bar. Design thickness for external pressure, (Corroded at 150 °C) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do
= 0.8888*2,015.5 = 1,791.29 mm
A = 0.125 / (Ro / t)
= 0.125 / (1,791.29 / 5.18) = 0.000361
From Table CS-2 Metric: B = 365.036 kgf/cm2 Pa = B / (Ro / t)
= 357.9783 / (1,791.29 / 5.18) = 1.0342 bar
t = 5.18 mm + Corrosion = 5.18 mm + 6 mm = 11.17 mmCheck the external pressure per UG-33(a)(1) Appendix 1-4(c) t = 1.67*Pe*D*K / (2*S*E - 0.2*1.67*Pe) + Corrosion
= 1.67*1.03*2,002*0.99208 / (2*1,180*1 - 0.2*1.67*1.03) + 6= 7.45 mm
The head external pressure design thickness (te) is 11.17 mm. Maximum Allowable External Pressure, (Corroded at 150 °C) UG-33(d) Equivalent outside spherical radius (Ro) Ro = Ko*Do
= 0.8888*2,015.5 = 1,791.29 mm
A = 0.125 / (Ro / t)
= 0.125 / (1,791.29 / 6.75) = 0.000471
From Table CS-2 Metric: B = 476.7578 kgf/cm2 Pa = B / (Ro / t)
= 467.5401 / (1,791.29 / 6.75) = 1.7619 bar
Check the Maximum External Pressure, UG-33(a)(1) Appendix 1-4(c) P = 2*S*E*t / ((K*D + 0.2*t)*1.67) - Ps2
= 2*1,180*1*6.75 / ((0.99208*2,002 +0.2*6.75)*1.67) - 0= 4.8 bar
The maximum allowable external pressure (MAEP) is 1.76 bar. % Extreme fiber elongation - UCS-79(d) EFE = (75*t / Rf)*(1 - Rf / Ro)
= (75*15 / 345.8)*(1 - 345.8 / ?) = 3.2533%
The extreme fiber elongation does not exceed 5%.
V-8601 91
Straight Flange on Bottom Head ASME Section VIII Division 1, 2010 Edition Metric Component: Straight FlangeMaterial specification: SA-516 60 (II-D Metric p. 10, ln. 27)Material impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 22.7 °C, (coincident ratio = 0.6054) Rated MDMT of -84.83°C is limited to -48°C by UCS-66(b)(2) UCS-66 governing thickness = 15 mm Internal design pressure: P = 2.6 bar @ 150 °C External design pressure: Pe = 1.03 bar @ 150 °C Static liquid head: Ps = 0.71 bar (SG = 0.987, Hs = 7,308 mm,Operating head)Pth = 0.22 bar (SG = 1, Hs = 2,250 mm, Horizontal test head)Ptv = 0.72 bar (SG = 1, Hs = 7,308 mm, Vertical test head)Corrosion allowance Inner C = 6 mm Outer C = 0 mmDesign MDMT = 15 °C No impact test performedRated MDMT = -48 °C Material is normalized
Material is not produced to Fine Grain PracticePWHT is performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1Circumferential joint - Full UW-11(a) Type 1
Estimated weight New = 28.1 kg corr = 16.9 kg Capacity New = 118.19 liters corr = 119.62 liters ID = 1,990 mmLength Lc = 38 mm t = 15 mm Insulation thk: 70 mm density: 1,000 kg/m3 Weight: 0 kg Design thickness, (at 150 °C) UG-27(c)(1) t = P*R / (S*E - 0.60*P) + Corrosion
= 3.31*1,001 / (1,180*1.00 - 0.60*3.31) + 6 = 8.81 mm
Maximum allowable working pressure, (at 150 °C) UG-27(c)(1) P = S*E*t / (R + 0.60*t) - Ps
= 1,180*1.00*9 / (1,001 + 0.60*9) - 0.71 = 9.85 bar
Maximum allowable pressure, (at 25 °C) UG-27(c)(1) P = S*E*t / (R + 0.60*t)
= 1,180*1.00*15 / (995 + 0.60*15)= 17.63 bar
External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 3,417.83 / 2,020 = 1.6920 Do / t = 2,020 / 8.11 = 249.0293From table G: A = 0.000195 From table CS-2 Metric: B = 196.9709 kg/cm2 (193.16 bar)Pa = 4*B / (3*(Do / t))
= 4*193.16 / (3*(2,020 / 8.11)) = 1.03 bar
Design thickness for external pressure Pa = 1.03 bar ta = t + Corrosion = 8.11 + 6 = 14.11 mm Maximum Allowable External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 3,417.83 / 2,020 = 1.6920 Do / t = 2,020 / 9 = 224.4315From table G: A = 0.000233 From table CS-2 Metric: B = 235.0941 kg/cm2 (230.548 bar)Pa = 4*B / (3*(Do / t))
= 4*230.55 / (3*(2,020 / 9))= 1.37 bar
V-8601 92
% Extreme fiber elongation - UCS-79(d) EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*15 / 1,002.5)*(1 - 1,002.5 / ∞) = 0.7481%
The extreme fiber elongation does not exceed 5%. Design thickness = 14.11 mm The governing condition is due to external pressure. The cylinder thickness of 15 mm is adequate. Thickness Required Due to Pressure + External Loads
Condition Pressure P ( bar)
Allowable Stress Before UG-23 Stress Increase (
kg/cm2) Temperature (
°C) Corrosion
C (mm) Load Req'd Thk
Due to Tension (mm)
Req'd Thk Due to Compression (mm)
St Sc
Operating, Hot & Corroded
2.6 1,203.3 891.3 150 6 Wind 0.91 0.7
Operating, Hot & New 2.6 1,203.3 1,028.6 150 0 Wind 0.89 0.67
Hot Shut Down, Corroded
0 1,203.3 891.3 150 6 Wind 0.02 0.3
Hot Shut Down, New 0 1,203.3 1,028.6 150 0 Wind 0.03 0.29
Empty, Corroded 0 1,203.3 891.3 21.11 6 Wind 0.02 0.3
Empty, New 0 1,203.3 1,028.6 21.11 0 Wind 0.03 0.29
Vacuum -1.03 1,203.3 891.3 150 6 Wind 0.51 0.79
Hot Shut Down, Corroded, Weight & Eccentric Moments Only
0 1,203.3 891.3 150 6 Weight 0.2 0.27
Operating, Hot & Corroded, Vortex Shedding
2.6 1,203.3 891.3 150 6 Wind 1.04 0.57
Empty, Cold & Corroded, Vortex Shedding
0 1,203.3 891.3 21.11 6 Wind 0.44 0.91
Vacuum, Vortex Shedding
-1.03 1,203.3 891.3 150 6 Wind 0.33 0.97
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScHC = min(B, S) = 891.3 kg/cm2
V-8601 93
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 15)= 0.001856
B = 1,028.6 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScHN = min(B, S) = 1,028.6 kg/cm2 Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 15)= 0.001856
B = 1,028.6 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScCN = min(B, S) = 1,028.6 kg/cm2 Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScCC = min(B, S) = 891.3 kg/cm2 Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric) A = 0.125 / (Ro / t)
= 0.125 / (1,010 / 9)= 0.001114
B = 891.3 kg/cm2
S = 1,203.3 / 1.00 = 1,203.3 kg/cm2
ScVC = min(B, S) = 891.3 kg/cm2 Operating, Hot & Corroded, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 2.6*1,001 / (2*1,180*1.20*1.00 + 0.40*|2.6|) = 0.92 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 3,457.4 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0.08 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0.09 mm
tt = tp + tm - tw (total required, tensile)= 0.92 + 0.08 - (0.09) = 0.91 mm
V-8601 94
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665 = 0.15 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0.08 + (0.15) - (0.92)| = 0.7 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(9 - 0.08 + (0.09)) / (1,001 - 0.40*(9 - 0.08 + (0.09)))= 25.59 bar
Operating, Hot & New, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 2.6*995 / (2*1,180*1.20*1.00 + 0.40*|2.6|) = 0.91 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 3,507.6 / (π*1,002.52*1,180*1.20*1.00) * 98066.5 = 0.08 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*15,529.2 / (2*π*1,002.5*1,180*1.20*1.00) * 98.0665= 0.1 mm
tt = tp + tm - tw (total required, tensile)= 0.91 + 0.08 - (0.1) = 0.89 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 15,529.2 / (2*π*1,002.5*1,180*1.20*1.00) * 98.0665 = 0.17 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0.08 + (0.17) - (0.91)| = 0.67 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(15 - 0.08 + (0.1)) / (995 - 0.40*(15 - 0.08 + (0.1)))= 43.03 bar
Hot Shut Down, Corroded, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,457.4 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.1 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.1 - (0.12)| = 0.02 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
V-8601 95
tc = tmc + twc - tpc (total required, compressive)= 0.1 + (0.2) - (0) = 0.3 mm
Hot Shut Down, New, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,507.6 / (π*1,002.52*1,008.7*1.20) * 98066.5 = 0.09 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*15,529.2 / (2*π*1,002.5*1,008.7*1.20) * 98.0665= 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.09 - (0.12)| = 0.03 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 15,529.2 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.09 + (0.2) - (0) = 0.29 mm
Empty, Corroded, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,457.4 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.1 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = ötp + tm - tw| (total, net compressive)= |0 + 0.1 - (0.12)| = 0.02 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.1 + (0.2) - (0) = 0.3 mm
V-8601 96
Empty, New, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 3,507.6 / (π*1,002.52*1,008.7*1.20) * 98066.5 = 0.09 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*15,529.2 / (2*π*1,002.5*1,008.7*1.20) * 98.0665= 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.09 - (0.12)| = 0.03 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 15,529.2 / (2*π*1,002.5*1,008.7*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.09 + (0.2) - (0) = 0.29 mm
Vacuum, Wind, Bottom Seam tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*1,001 / (2*874.05*1.20 + 0.40*|1.03|) = -0.49 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 3,457.4 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.1 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.49 + 0.1 - (0.12)| = 0.51 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.1 + (0.2) - (-0.49) = 0.79 mm
Maximum Allowable External Pressure, Longitudinal Stress P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*874.05*1.20*(9 - 0.1 - 0.2) / (1,001 - 0.40*(9 - 0.1 - 0.2))= 18.3 bar
V-8601 97
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 1,039.8 / (π*1,005.52*874.05*1.00) * 98066.5 = 0.04 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*874.05*1.00) * 98.0665 = 0.24 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0.04 - (0.24)| = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.04 + (0.24) - (0) = 0.27 mm
Operating, Hot & Corroded, Vortex Shedding, Wind, Bottom Seam tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 2.6*1,001 / (2*1,180*1.20*1.00 + 0.40*|2.6|) = 0.92 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 9,418.5 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0.21 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0.09 mm
tt = tp + tm - tw (total required, tensile)= 0.92 + 0.21 - (0.09) = 1.04 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665 = 0.15 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0.21 + (0.15) - (0.92)| = 0.57 mm
Maximum allowable working pressure, Longitudinal Stress P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))
= 2*1,180*1.20*1.00*(9 - 0.21 + (0.09)) / (1,001 - 0.40*(9 - 0.21 + (0.09)))= 25.22 bar
Empty, Cold & Corroded, Vortex Shedding, Wind, Bottom Seam tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 24,057.5 / (π*1,005.52*1,180*1.20*1.00) * 98066.5 = 0.52 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*1,180*1.20*1.00) * 98.0665= 0.09 mm
V-8601 98
tt = tp + tm - tw (total required, tensile)= 0 + 0.52 - (0.09) = 0.44 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 24,057.5 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.71 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.71 + (0.2) - (0) = 0.91 mm
Vacuum, Vortex Shedding, Wind, Bottom Seam tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*1,001 / (2*874.05*1.20 + 0.40*|1.03|) = -0.49 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 9,418.5 / (π*1,005.52*874.05*1.20) * 98066.5 = 0.28 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.12 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.49 + 0.28 - (0.12)| = 0.33 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 13,349.6 / (2*π*1,005.5*874.05*1.20) * 98.0665 = 0.2 mm
tc = tmc + twc - tpc (total required, compressive)= 0.28 + (0.2) - (-0.49) = 0.97 mm
Maximum Allowable External Pressure, Longitudinal Stress P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))
= 2*874.05*1.20*(9 - 0.28 - 0.2) / (1,001 - 0.40*(9 - 0.28 - 0.2))= 17.93 bar
V-8601 99
Nozzle Calculation Design Conditions
(Maximum Conditions)
V-8601 100
Nozzle Summary
Nozzle mark
OD (mm)
tn (mm)
Req tn (mm) A1? A2?
Shell Reinforcement Pad Corr
(mm) Aa/Ar
(%) Nom t(mm)
Design t(mm)
User t(mm)
Width(mm)
tpad (mm)
A1 609.6 15 14.03 Yes Yes 15 14.03 120.2 15 6 100.0
A2 609.6 15 14.03 Yes Yes 15 14.03 120.2 15 6 100.0
H1 318.89 15 15 Yes Yes 15 12.47 53.05 15 6 100.0
K1A 60.32 11.07 10.77 Yes Yes 15 N/A N/A N/A 6 Exempt
K1B 60.32 11.07 10.77 Yes Yes 15 N/A N/A N/A 6 Exempt
K2A 48.26 11 10.54 Yes Yes 15 N/A N/A N/A 6 Exempt
K2B 48.26 11 10.54 Yes Yes 15 N/A N/A N/A 6 Exempt
K3A 48.26 11 10.54 Yes Yes 15 N/A N/A N/A 6 Exempt
K3B 48.26 11 10.54 Yes Yes 15 N/A N/A N/A 6 Exempt
K4A 48.26 11 10.54 Yes Yes 15 N/A N/A N/A 6 Exempt
K4B 48.26 11 10.54 Yes Yes 15 N/A N/A N/A 6 Exempt
K5A 48.26 11 10.54 Yes Yes 15 N/A N/A N/A 6 Exempt
K5B 48.26 11 10.54 Yes Yes 15 N/A N/A N/A 6 Exempt
K6A 48.26 11 10.54 Yes Yes 15 N/A N/A N/A 6 Exempt
K6B 48.26 11 10.54 Yes Yes 15 N/A N/A N/A 6 Exempt
N1 318.89 15 11.32 Yes Yes 15 13.36 70.55 15 6 100.0
N2 318.89 15 13.48 Yes Yes 12.75* 11.98 70.55 15 6 100.0
N3 60.32 11.07 10.77 Yes Yes 12.75* N/A N/A N/A 6 Exempt
N4 88.9 15.24 12.34 Yes Yes 12.75* N/A 60.56 15 6 Exempt
N5 88.9 15.24 8.82 Yes Yes 15.24 N/A N/A N/A 6 Exempt
N6 60.32 11.07 10.77 Yes Yes 15 N/A N/A N/A 6 Exempt
N7 114.3 13.49 12.88 Yes Yes 15 15 60.56 15 6 153.6
N8 60.32 11.07 10.77 Yes Yes 15 N/A N/A N/A 6 Exempt
tn: Nozzle thickness
Req tn: Nozzle thickness required per UG-45/UG-16
Nom t: Vessel wall thickness
Design t: Required vessel wall thickness due to pressure + corrosion allowance per UG-37
User t: Local vessel wall thickness (near opening)
Aa: Area available per UG-37, governing condition
Ar: Area required per UG-37, governing condition
Corr: Corrosion allowance on nozzle wall
* Head minimum thickness after forming
V-8601 101
Nozzle Schedule
Nozzle mark Service Size
Materials
Nozzle Impact Norm Fine Grain Pad Impact Norm Fine
Grain Flange
A1 Manway 579.60 IDx15.00 SA-516 60 No Yes No
SA-516 60
No Yes No WN A105 Class 150
A2 Manway 579.60 IDx15.00 SA-516 60 No Yes No
SA-516 60
No Yes No WN A105 Class 150
H1 Packing Unloading 288.89 IDx15.00
SA-106 B Smls. Pipe No Yes No
SA-516 60
No Yes No WN A105 Class 150
K1A Level Gauge (LG) NPS 2 XX Heavy DN 50
SA-106 B Smls. Pipe No No No N/A N/A N/A N/A WN A105
Class 300
K1B Level Gauge (LG) NPS 2 XX Heavy DN 50
SA-106 B Smls. Pipe No No No N/A N/A N/A N/A WN A105
Class 300
K2A
Level Transmitter(LICA)
26.26 IDx11.00
SA-106 B Smls. Pipe No No No N/A N/A N/A N/A WN A105
Class 300
K2B
Level Transmitter(LICA)
26.26 IDx11.00
SA-106 B Smls. Pipe No No No N/A N/A N/A N/A WN A105
Class 300
K3A
Level Transmitter(LZA)
26.26 IDx11.00
SA-106 B Smls. Pipe No No No N/A N/A N/A N/A WN A105
Class 300
K3B
Level Transmitter(LZA)
26.26 IDx11.00
SA-106 B Smls. Pipe No No No N/A N/A N/A N/A WN A105
Class 300
K4A
Level Transmitter(LZA)
26.26 IDx11.00
SA-106 B Smls. Pipe No No No N/A N/A N/A N/A WN A105
Class 300
K4B
Level Transmitter(LZA)
26.26 IDx11.00
SA-106 B Smls. Pipe No No No N/A N/A N/A N/A WN A105
Class 300
K5A
Level Transmitter(LZA)
26.26 IDx11.00
SA-106 B Smls. Pipe No No No N/A N/A N/A N/A WN A105
Class 300
K5B
Level Transmitter(LZA)
26.26 IDx11.00
SA-106 B Smls. Pipe No No No N/A N/A N/A N/A WN A105
Class 300
K6A
Level Transmitter(LZA)
26.26 IDx11.00
SA-106 B Smls. Pipe No No No N/A N/A N/A N/A WN A105
Class 300
K6B
Level Transmitter(LZA)
26.26 IDx11.00
SA-106 B Smls. Pipe No No No N/A N/A N/A N/A WN A105
Class 300
N1 Acid Gas Inlet 288.89 IDx15.00 SA-516 60 No Yes No
SA-516 60
No Yes No WN A105 Class 150
N2 Acid Gas Outlet 288.89 IDx15.00 SA-516 60 No Yes No
SA-516 60
No Yes No WN A105 Class 150
N3 Vent NPS 2 XX Heavy DN 50
SA-106 B Smls. Pipe No Yes No N/A N/A N/A N/A WN A105
Class 150
N4 Sour Water Outlet NPS 3 XX Heavy DN 80
SA-106 B Smls. Pipe No Yes No
SA-516 60
No Yes No WN A105 Class 150
N5 Drain NPS 3 XX Heavy DN 80
SA-106 B Smls. Pipe No Yes No N/A N/A N/A N/A WN A105
Class 150
V-8601 102
Nozzle Schedule (Cont.)
N6
Utility Nozzle/Steam Out
NPS 2 XX Heavy DN 50
SA-106 B Smls. Pipe No Yes No N/A N/A N/A N/A WN A105
Class 150
N7 PSV NPS 4 Sch 160 DN 100
SA-106 B Smls. Pipe No Yes No
SA-516 60
No Yes No WN A105 Class 150
N8 Wash Water Inlet NPS 2 XX Heavy DN 50
SA-106 B Smls. Pipe No Yes No N/A N/A N/A N/A WN A105
Class 150
V-8601 103
Manway (A1) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 12 mm tw(upper) = 15 mm Leg42 = 12 mm Dp = 850 mm te = 15 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.2706 bar
Nozzle material specification: SA-516 60 (II-D Metric p. 10, ln. 27) (normalized)
Nozzle longitudinal joint efficiency: 1
Pad material specification: SA-516 60 (II-D Metric p. 10, ln. 27) (normalized)
Pad diameter: 850 mm Flange description: NPS 24 Class 150 WN A105 Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32) Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.3029) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.2426 bar ASME B16.5-2003 flange rating MAWP: 15.8 bar @ 150°C ASME B16.5-2003 flange rating MAP: 19.6 bar @ 25°C ASME B16.5-2003 flange hydro test: 30 bar @ 25°C Gasket Description: Flexitallic Spiral Wound CG 316L S.S.PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 180° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 4,800 mm End of nozzle to shell center: 1,330 mm Nozzle inside diameter, new: 579.6 mm Nozzle nominal wall thickness: 15 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 167.6 mm Projection available outside vessel to flange face, Lf: 320 mm Pad is split: No
V-8601 104
Reinforcement Calculations for Internal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 9.42 bar @ 150 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
47.4812 47.4858 5.7658 2.9826 -- 36.06 2.6774 14.03 15
UG-41 Weld Failure Path Analysis Summary (kgf) All failure paths are stronger than the applicable weld loads
Weld load W
Weld load W1-1
Path 1-1strength
Weld load W2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
50,406 50,200 165,983 7,027 272,383 52,150 171,207
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 4.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 6.3 15 weld size is adequate
Calculations for internal pressure 9.42 bar @ 150 °C Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1667). Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 25.8 °C, (coincident ratio = 0.564) Rated MDMT of -87.93°C is limited to -48°C by UCS-66(b)(2). Nozzle UCS-66 governing thk: 15 mm Nozzle rated MDMT: -105 °C Pad UCS-66 governing thickness: 15 mm Pad rated MDMT: -48 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(591.6, 295.8 + (15 - 6) + (15 - 6)) = 591.6 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(15 - 6) + 15) = 22.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 9.4157*295.8 / (1,180*1 - 0.6*9.4157) = 2.37 mm
V-8601 105
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 9.4157*1,001 / (1,180*1 - 0.6*9.4157) = 8.03 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |9.4157*1,001 / (2*1,180*1.2 + 0.4*9.4157) - 0.6*2,680.45 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 1,178.4 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.33 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |9.4157*1,001 / (2*1,180*1.2 + 0.4*9.4157) - 2,680.45 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 1,178.4 / (π*1,005.52*1,180*1.2) *
98066.5| = 3.27 mm
Area required per UG-37(c) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (591.6*8.03*1 + 2*9*8.03*1*(1 - 1)) / 100= 47.4812 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 5.7658 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (591.6*(1*9 - 1*8.03) - 2*9*(1*9 - 1*8.03)*(1 - 1)) / 100= 5.7658 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(9 + 9)*(1*9 - 1*8.03) - 2*9*(1*9 - 1*8.03)*(1 - 1)) / 100= 0.351 cm2
A2 = smaller of the following= 2.9826 cm2
= 5*(tn - trn)*fr2*t = (5*(9 - 2.37)*1*9) / 100 = 2.9826 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(9 - 2.37)*(2.5*9 + 15)*1) / 100 = 4.971 cm2
A41 = Leg2*fr3
= (11.122*1) / 100 = 1.2374 cm2
(Part of the weld is outside of the limits) A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
V-8601 106
A5 = (Dp - d - 2*tn)*te*fr4
= ((850 - 591.6 - 2*9)*15*1) / 100 = 36.06 cm2
Area = A1 + A2 + A41 + A42 + A5
= 5.7658 + 2.9826 + 1.2374 + 1.44 + 36.06= 47.4858 cm2
As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 9 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 9 mm
tw(min) = 0.5*tmin = 4.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 9.4157*295.8 / (1,180*1 - 0.6*9.4157) + 6= 8.37 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 8.37 , 0 ]= 8.37 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 9.4157*1,001 / (1,180*1 - 0.6*9.4157) + 6= 14.03 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 14.03 , 7.5 ] = 14.03 mm
tb = min[ tb3 , tb1 ]
= min[ 14.33 , 14.03 ] = 14.03 mm
tUG-45 = max[ ta , tb ]
= max[ 8.37 , 14.03 ] = 14.03 mm
Available nozzle wall thickness new, tn = 15 mm The nozzle neck thickness is adequate.
V-8601 107
Allowable stresses in joints UG-45 and UW-15(c) Groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Nozzle wall in shear: 0.7*1,203.264 = 842.285 kgf/cm2
Inner fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Outer fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Upper groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Strength of welded joints: (1) Inner fillet weld in shear (π / 2)*Nozzle OD*Leg*Si = (π / 2)*609.6*12*589.599 = 67,749.1 kgf (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*850*12*589.599 = 94,466.43 kgf (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*600.6*9*842.285 = 71,516.64 kgf (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*609.6*9*890.415 = 76,740.66 kgf (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*609.6*15*890.415 = 127,893.71 kgf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (4,748.1177 - 576.5795 + 2*9*1*(1*9 - 1*8.03))*1,203.264= 50,405.76 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (298.2575 + 3,606 + 123.7417 + 143.9997)*1,203.264= 50,200.21 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (298.2575 + 0 + 123.7417 + 0 + 2*9*9*1)*1,203.264= 7,027.17 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (298.2575 + 0 + 3,606 + 123.7417 + 143.9997 + 0 + 2*9*9*1)*1,203.264= 52,149.61 kgf
Load for path 1-1 lesser of W or W1-1 = 50,200.21 kgf Path 1-1 through (2) & (3) = 94,466.43 + 71,516.64 = 165,983.07 kgf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 7,027.17 kgf Path 2-2 through (1), (4), (6) = 67,749.1 + 76,740.66 + 127,893.71 = 272,383.47 kgf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 50,405.76 kgf Path 3-3 through (2), (4) = 94,466.43 + 76,740.66 = 171,207.09 kgf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
V-8601 108
% Extreme fiber elongation - UCS-79(d) EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*15 / 297.3)*(1 - 297.3 / ?) = 2.5227%
The extreme fiber elongation does not exceed 5%. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 13.67 bar @ 25 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
67.2935 67.3006 19.6464 8.7142 -- 36.06 2.88 8.33 15
UG-41 Weld Failure Path Analysis Summary (kgf) All failure paths are stronger than the applicable weld loads
Weld load W
Weld load W1-1
Path 1-1strength
Weld load W2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
58,556 57,341 212,470 17,633 323,537 62,755 222,360
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 7.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 10.5 15 weld size is adequate
Calculations for internal pressure 13.67 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(579.6, 289.8 + (15 - 0) + (15 - 0)) = 579.6 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(15 - 0) + 15) = 37.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 13.6734*289.8 / (1,180*1 - 0.6*13.6734)= 3.38 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 13.6734*995 / (1,180*1 - 0.6*13.6734) = 11.61 mm
V-8601 109
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |13.6734*995 / (2*1,180*1.2 + 0.4*13.6734) - 0.6*3,410 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 2,774.8 /
(π*1,002.52*1,180*1.2) * 98066.5| = 4.83 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |13.6734*995 / (2*1,180*1.2 + 0.4*13.6734) - 3,410 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 2,774.8 / (π*1,002.52*1,180*1.2) *
98066.5| = 4.7 mm
Area required per UG-37(c) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (579.6*11.61*1 + 2*15*11.61*1*(1 - 1)) / 100= 67.2935 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 19.6464 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (579.6*(1*15 - 1*11.61) - 2*15*(1*15 - 1*11.61)*(1 - 1)) / 100= 19.6464 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(15 + 15)*(1*15 - 1*11.61) - 2*15*(1*15 - 1*11.61)*(1 - 1)) / 100= 2.0335 cm2
A2 = smaller of the following= 8.7142 cm2
= 5*(tn - trn)*fr2*t = (5*(15 - 3.38)*1*15) / 100 = 8.7142 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(15 - 3.38)*(2.5*15 + 15)*1) / 100 = 12.2 cm2
A41 = Leg2*fr3
= (122*1) / 100 = 1.44 cm2
A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((850 - 579.6 - 2*15)*15*1) / 100 = 36.06 cm2
V-8601 110
Area = A1 + A2 + A41 + A42 + A5
= 19.6464 + 8.7142 + 1.44 + 1.44 + 36.06 = 67.3006 cm2
As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 15 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 15 mm
tw(min) = 0.5*tmin = 7.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 13.6734*289.8 / (1,180*1 - 0.6*13.6734) + 0= 3.38 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 3.38 , 0 ]= 3.38 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 13.6734*995 / (1,180*1 - 0.6*13.6734) + 0= 11.61 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 11.61 , 1.5 ] = 11.61 mm
tb = min[ tb3 , tb1 ]
= min[ 8.33 , 11.61 ] = 8.33 mm
tUG-45 = max[ ta , tb ]
= max[ 3.38 , 8.33 ] = 8.33 mm
Available nozzle wall thickness new, tn = 15 mm The nozzle neck thickness is adequate. Allowable stresses in joints UG-45 and UW-15(c) Groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Nozzle wall in shear: 0.7*1,203.264 = 842.285 kgf/cm2
Inner fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Outer fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Upper groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
V-8601 111
Strength of welded joints: (1) Inner fillet weld in shear (π / 2)*Nozzle OD*Leg*Si = (π / 2)*609.6*12*589.599 = 67,749.1 kgf (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*850*12*589.599 = 94,466.43 kgf (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*594.6*15*842.285 = 118,003.65 kgf (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*609.6*15*890.415 = 127,893.71 kgf (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*609.6*15*890.415 = 127,893.71 kgf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (6,729.3531 - 1,964.6412 + 2*15*1*(1*15 - 1*11.61))*1,203.264= 58,555.72 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (871.4176 + 3,606 + 143.9997 + 143.9997)*1,203.264= 57,340.61 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (871.4176 + 0 + 143.9997 + 0 + 2*15*15*1)*1,203.264= 17,632.86 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (871.4176 + 0 + 3,606 + 143.9997 + 143.9997 + 0 + 2*15*15*1)*1,203.264= 62,755.3 kgf
Load for path 1-1 lesser of W or W1-1 = 57,340.61 kgf Path 1-1 through (2) & (3) = 94,466.43 + 118,003.65 = 212,470.08 kgf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 17,632.86 kgf Path 2-2 through (1), (4), (6) = 67,749.1 + 127,893.71 + 127,893.71 = 323,536.52 kgf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 58,555.72 kgf Path 3-3 through (2), (4) = 94,466.43 + 127,893.71 = 222,360.14 kgf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
V-8601 112
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
26.6234 41.9974 -- 3.26 -- 36.06 2.6774 7.76 15
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 4.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 6.3 15 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(591.6, 295.8 + (15 - 6) + (15 - 6)) = 591.6 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(15 - 6) + 15) = 22.5 mm
Nozzle required thickness per UG-28 trn = 1.76 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*2,680.45 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 1,178.4 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.64 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 2,680.45 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 1,178.4 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.73 mm
V-8601 113
Area required per UG-37(d)(1) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= (0.5*(591.6*9*1 + 2*9*9*1*(1 - 1))) / 100= 26.6234 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (591.6*(1*9 - 1*9) - 2*9*(1*9 - 1*9)*(1 - 1)) / 100= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(9 + 9)*(1*9 - 1*9) - 2*9*(1*9 - 1*9)*(1 - 1)) / 100= 0 cm2
A2 = smaller of the following= 3.26 cm2
= 5*(tn - trn)*fr2*t = (5*(9 - 1.76)*1*9) / 100 = 3.26 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(9 - 1.76)*(2.5*9 + 15)*1) / 100 = 5.4329 cm2
A41 = Leg2*fr3
= (11.122*1) / 100 = 1.2374 cm2
(Part of the weld is outside of the limits) A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((850 - 591.6 - 2*9)*15*1) / 100 = 36.06 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 3.26 + 1.2374 + 1.44 + 36.06 = 41.9974 cm2
As Area >= A the reinforcement is adequate.
V-8601 114
UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 9 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 9 mm
tw(min) = 0.5*tmin = 4.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-28 = 7.76 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 7.76 , 0 ]= 7.76 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 14.33 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 7.76 , 7.5 ] = 7.76 mm
Available nozzle wall thickness new, tn = 15 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 367.09 / 609.6 = 0.6022 Do / t = 609.6 / 1.76 = 347.0477From table G: A = 0.000360 From table CS-2 Metric: B = 363.5361 kg/cm2 (356.51 bar)Pa = 4*B / (3*(Do / t))
= 4*356.51 / (3*(609.6 / 1.76)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 1.76 + 6 = 7.76 mm
V-8601 115
Manway (A2) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 12 mm tw(upper) = 15 mm Leg42 = 12 mm Dp = 850 mm te = 15 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.6671 bar
Nozzle material specification: SA-516 60 (II-D Metric p. 10, ln. 27) (normalized)
Nozzle longitudinal joint efficiency: 1
Pad material specification: SA-516 60 (II-D Metric p. 10, ln. 27) (normalized)
Pad diameter: 850 mm Flange description: NPS 24 Class 150 WN A105 Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32) Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.3232) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.6391 bar ASME B16.5-2003 flange rating MAWP: 15.8 bar @ 150°C ASME B16.5-2003 flange rating MAP: 19.6 bar @ 25°C ASME B16.5-2003 flange hydro test: 30 bar @ 25°C Gasket Description: Flexitallic Spiral Wound CG 316L S.S.PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 180° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 700 mm End of nozzle to shell center: 1,330 mm Nozzle inside diameter, new: 579.6 mm Nozzle nominal wall thickness: 15 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 167.6 mm Projection available outside vessel to flange face, Lf: 320 mm Pad is split: No
V-8601 116
Reinforcement Calculations for Internal Pressure Available reinforcement per UG-37 governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 9.42 bar @ 150 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
47.4812 47.4858 5.7658 2.9826 -- 36.06 2.6774 14.03 15
UG-41 Weld Failure Path Analysis Summary (kgf) All failure paths are stronger than the applicable weld loads
Weld load W
Weld load W1-1
Path 1-1strength
Weld load W2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
50,406 50,200 165,983 7,027 272,383 52,150 171,207
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 4.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 6.3 15 weld size is adequate
Calculations for internal pressure 9.42 bar @ 150 °C Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1778). Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 23 °C, (coincident ratio = 0.6016) Rated MDMT of -85.13°C is limited to -48°C by UCS-66(b)(2). Nozzle UCS-66 governing thk: 15 mm Nozzle rated MDMT: -105 °C Pad UCS-66 governing thickness: 15 mm Pad rated MDMT: -48 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(591.6, 295.8 + (15 - 6) + (15 - 6)) = 591.6 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(15 - 6) + 15) = 22.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 9.4157*295.8 / (1,180*1 - 0.6*9.4157) = 2.37 mm
V-8601 117
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 9.4157*1,001 / (1,180*1 - 0.6*9.4157) = 8.03 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |9.4157*1,001 / (2*1,180*1.2 + 0.4*9.4157) - 0.6*13,226.04 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 7,964.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.41 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |9.4157*1,001 / (2*1,180*1.2 + 0.4*9.4157) - 13,226.04 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 7,964.8 / (π*1,005.52*1,180*1.2)
* 98066.5| = 3.01 mm
Area required per UG-37(c) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (591.6*8.03*1 + 2*9*8.03*1*(1 - 1)) / 100= 47.4812 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 5.7658 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (591.6*(1*9 - 1*8.03) - 2*9*(1*9 - 1*8.03)*(1 - 1)) / 100= 5.7658 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(9 + 9)*(1*9 - 1*8.03) - 2*9*(1*9 - 1*8.03)*(1 - 1)) / 100= 0.351 cm2
A2 = smaller of the following= 2.9826 cm2
= 5*(tn - trn)*fr2*t = (5*(9 - 2.37)*1*9) / 100 = 2.9826 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(9 - 2.37)*(2.5*9 + 15)*1) / 100 = 4.971 cm2
A41 = Leg2*fr3
= (11.122*1) / 100 = 1.2374 cm2
(Part of the weld is outside of the limits) A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
V-8601 118
A5 = (Dp - d - 2*tn)*te*fr4
= ((850 - 591.6 - 2*9)*15*1) / 100 = 36.06 cm2
Area = A1 + A2 + A41 + A42 + A5
= 5.7658 + 2.9826 + 1.2374 + 1.44 + 36.06= 47.4858 cm2
As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 9 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 9 mm
tw(min) = 0.5*tmin = 4.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 9.4157*295.8 / (1,180*1 - 0.6*9.4157) + 6= 8.37 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 8.37 , 0 ]= 8.37 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 9.4157*1,001 / (1,180*1 - 0.6*9.4157) + 6= 14.03 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 14.03 , 7.5 ] = 14.03 mm
tb = min[ tb3 , tb1 ]
= min[ 14.33 , 14.03 ] = 14.03 mm
tUG-45 = max[ ta , tb ]
= max[ 8.37 , 14.03 ] = 14.03 mm
Available nozzle wall thickness new, tn = 15 mm The nozzle neck thickness is adequate.
V-8601 119
Allowable stresses in joints UG-45 and UW-15(c) Groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Nozzle wall in shear: 0.7*1,203.264 = 842.285 kgf/cm2
Inner fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Outer fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Upper groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Strength of welded joints: (1) Inner fillet weld in shear (π / 2)*Nozzle OD*Leg*Si = (π / 2)*609.6*12*589.599 = 67,749.1 kgf (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*850*12*589.599 = 94,466.43 kgf (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*600.6*9*842.285 = 71,516.64 kgf (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*609.6*9*890.415 = 76,740.66 kgf (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*609.6*15*890.415 = 127,893.71 kgf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (4,748.1177 - 576.5795 + 2*9*1*(1*9 - 1*8.03))*1,203.264= 50,405.76 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (298.2575 + 3,606 + 123.7417 + 143.9997)*1,203.264= 50,200.21 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (298.2575 + 0 + 123.7417 + 0 + 2*9*9*1)*1,203.264= 7,027.17 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (298.2575 + 0 + 3,606 + 123.7417 + 143.9997 + 0 + 2*9*9*1)*1,203.264= 52,149.61 kgf
Load for path 1-1 lesser of W or W1-1 = 50,200.21 kgf Path 1-1 through (2) & (3) = 94,466.43 + 71,516.64 = 165,983.07 kgf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 7,027.17 kgf Path 2-2 through (1), (4), (6) = 67,749.1 + 76,740.66 + 127,893.71 = 272,383.47 kgf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 50,405.76 kgf Path 3-3 through (2), (4) = 94,466.43 + 76,740.66 = 171,207.09 kgf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
V-8601 120
% Extreme fiber elongation - UCS-79(d) EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*15 / 297.3)*(1 - 297.3 / ?) = 2.5227%
The extreme fiber elongation does not exceed 5%. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 13.67 bar @ 25 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
67.2935 67.3006 19.6464 8.7142 -- 36.06 2.88 8.33 15
UG-41 Weld Failure Path Analysis Summary (kgf) All failure paths are stronger than the applicable weld loads
Weld load W
Weld load W1-1
Path 1-1strength
Weld load W2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
58,556 57,341 212,470 17,633 323,537 62,755 222,360
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 7.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 10.5 15 weld size is adequate
Calculations for internal pressure 13.67 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(579.6, 289.8 + (15 - 0) + (15 - 0)) = 579.6 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(15 - 0) + 15) = 37.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 13.6734*289.8 / (1,180*1 - 0.6*13.6734)= 3.38 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 13.6734*995 / (1,180*1 - 0.6*13.6734) = 11.61 mm
V-8601 121
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |13.6734*995 / (2*1,180*1.2 + 0.4*13.6734) - 0.6*15,184.94 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 20,339.3 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.14 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |13.6734*995 / (2*1,180*1.2 + 0.4*13.6734) - 15,184.94 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 20,339.3 /
(π*1,002.52*1,180*1.2) * 98066.5| = 4.18 mm
Area required per UG-37(c) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (579.6*11.61*1 + 2*15*11.61*1*(1 - 1)) / 100= 67.2935 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 19.6464 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (579.6*(1*15 - 1*11.61) - 2*15*(1*15 - 1*11.61)*(1 - 1)) / 100= 19.6464 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(15 + 15)*(1*15 - 1*11.61) - 2*15*(1*15 - 1*11.61)*(1 - 1)) / 100= 2.0335 cm2
A2 = smaller of the following= 8.7142 cm2
= 5*(tn - trn)*fr2*t = (5*(15 - 3.38)*1*15) / 100 = 8.7142 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(15 - 3.38)*(2.5*15 + 15)*1) / 100 = 12.2 cm2
A41 = Leg2*fr3
= (122*1) / 100 = 1.44 cm2
A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((850 - 579.6 - 2*15)*15*1) / 100 = 36.06 cm2
V-8601 122
Area = A1 + A2 + A41 + A42 + A5
= 19.6464 + 8.7142 + 1.44 + 1.44 + 36.06 = 67.3006 cm2
As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 15 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 15 mm
tw(min) = 0.5*tmin = 7.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 13.6734*289.8 / (1,180*1 - 0.6*13.6734) + 0= 3.38 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 3.38 , 0 ]= 3.38 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 13.6734*995 / (1,180*1 - 0.6*13.6734) + 0= 11.61 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 11.61 , 1.5 ] = 11.61 mm
tb = min[ tb3 , tb1 ]
= min[ 8.33 , 11.61 ] = 8.33 mm
tUG-45 = max[ ta , tb ]
= max[ 3.38 , 8.33 ] = 8.33 mm
Available nozzle wall thickness new, tn = 15 mm The nozzle neck thickness is adequate. Allowable stresses in joints UG-45 and UW-15(c) Groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Nozzle wall in shear: 0.7*1,203.264 = 842.285 kgf/cm2
Inner fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Outer fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Upper groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
V-8601 123
Strength of welded joints: (1) Inner fillet weld in shear (π / 2)*Nozzle OD*Leg*Si = (π / 2)*609.6*12*589.599 = 67,749.1 kgf (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*850*12*589.599 = 94,466.43 kgf (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*594.6*15*842.285 = 118,003.65 kgf (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*609.6*15*890.415 = 127,893.71 kgf (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*609.6*15*890.415 = 127,893.71 kgf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (6,729.3531 - 1,964.6412 + 2*15*1*(1*15 - 1*11.61))*1,203.264= 58,555.72 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (871.4176 + 3,606 + 143.9997 + 143.9997)*1,203.264= 57,340.61 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (871.4176 + 0 + 143.9997 + 0 + 2*15*15*1)*1,203.264= 17,632.86 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (871.4176 + 0 + 3,606 + 143.9997 + 143.9997 + 0 + 2*15*15*1)*1,203.264= 62,755.3 kgf
Load for path 1-1 lesser of W or W1-1 = 57,340.61 kgf Path 1-1 through (2) & (3) = 94,466.43 + 118,003.65 = 212,470.08 kgf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 17,632.86 kgf Path 2-2 through (1), (4), (6) = 67,749.1 + 127,893.71 + 127,893.71 = 323,536.52 kgf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 58,555.72 kgf Path 3-3 through (2), (4) = 94,466.43 + 127,893.71 = 222,360.14 kgf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
V-8601 124
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
26.6234 41.9974 -- 3.26 -- 36.06 2.6774 7.76 15
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 4.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 6.3 15 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(591.6, 295.8 + (15 - 6) + (15 - 6)) = 591.6 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(15 - 6) + 15) = 22.5 mm
Nozzle required thickness per UG-28 trn = 1.76 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*13,226.04 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 7,964.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.54 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 13,226.04 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 7,964.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1.08 mm
V-8601 125
Area required per UG-37(d)(1) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= (0.5*(591.6*9*1 + 2*9*9*1*(1 - 1))) / 100= 26.6234 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (591.6*(1*9 - 1*9) - 2*9*(1*9 - 1*9)*(1 - 1)) / 100= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(9 + 9)*(1*9 - 1*9) - 2*9*(1*9 - 1*9)*(1 - 1)) / 100= 0 cm2
A2 = smaller of the following= 3.26 cm2
= 5*(tn - trn)*fr2*t = (5*(9 - 1.76)*1*9) / 100 = 3.26 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(9 - 1.76)*(2.5*9 + 15)*1) / 100 = 5.4329 cm2
A41 = Leg2*fr3
= (11.122*1) / 100 = 1.2374 cm2
(Part of the weld is outside of the limits) A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((850 - 591.6 - 2*9)*15*1) / 100 = 36.06 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 3.26 + 1.2374 + 1.44 + 36.06 = 41.9974 cm2
As Area >= A the reinforcement is adequate.
V-8601 126
UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 9 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 9 mm
tw(min) = 0.5*tmin = 4.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-28 = 7.76 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 7.76 , 0 ]= 7.76 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 14.33 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 7.76 , 7.5 ] = 7.76 mm
Available nozzle wall thickness new, tn = 15 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 367.09 / 609.6 = 0.6022 Do / t = 609.6 / 1.76 = 347.0477From table G: A = 0.000360 From table CS-2 Metric: B = 363.5361 kg/cm2 (356.51 bar)Pa = 4*B / (3*(Do / t))
= 4*356.51 / (3*(609.6 / 1.76)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 1.76 + 6 = 7.76 mm
V-8601 127
Packing Unloading (H1) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 12 mm tw(upper) = 15 mm Leg42 = 12 mm Dp = 425 mm te = 15 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.479 bar
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) (normalized)
Nozzle longitudinal joint efficiency: 1 Pad material specification: SA-516 60 (II-D Metric p. 10, ln. 27) (normalized) Pad diameter: 425 mm Flange description: NPS 12 Class 150 WN A105 Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32) Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.3143) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.465 bar ASME B16.5-2003 flange rating MAWP: 15.8 bar @ 150°C ASME B16.5-2003 flange rating MAP: 19.6 bar @ 25°C ASME B16.5-2003 flange hydro test: 30 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 270° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 2,500 mm End of nozzle to shell center: 1,305 mm Nozzle inside diameter, new: 288.89 mm Nozzle nominal wall thickness: 15 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 180.7 mm Projection available outside vessel to flange face, Lf: 295 mm Pad is split: No
V-8601 128
Reinforcement Calculations for Internal Pressure The thickness requirements of UG-45 govern the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 8.36 bar @ 150 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
21.4398 27.8036 5.6419 3.5677 -- 15.9165 2.6774 13.12 13.13
UG-41 Weld Failure Path Analysis Summary (kgf) All failure paths are stronger than the applicable weld loads
Weld load W
Weld load W1-1
Path 1-1strength
Weld load W2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
19,415 26,666 84,133 7,731 142,487 28,616 87,377
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 4.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 6.3 15 weld size is adequate
Calculations for internal pressure 8.36 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1108). Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 24.3 °C, (coincident ratio = 0.5837) Rated MDMT of -86.43°C is limited to -48°C by UCS-66(b)(2). Nozzle UCS-66 governing thk: 13.13 mm Nozzle rated MDMT: -105 °C Pad UCS-66 governing thickness: 15 mm Pad rated MDMT: -48 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(300.89, 150.45 + (15 - 6) + (15 - 6))= 300.89 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(15 - 6) + 15) = 22.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 8.3641*150.45 / (1,180*1 - 0.6*8.3641) = 1.07 mm
V-8601 129
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 8.3641*1,001 / (1,180*1 - 0.6*8.3641) = 7.13 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |8.3641*1,001 / (2*1,180*1.2 + 0.4*8.3641) - 0.6*10,300.77 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 4,238.1 /
(π*1,005.52*1,180*1.2) * 98066.5| = 2.98 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |8.3641*1,001 / (2*1,180*1.2 + 0.4*8.3641) - 10,300.77 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 4,238.1 / (π*1,005.52*1,180*1.2)
* 98066.5| = 2.75 mm
Area required per UG-37(c) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (300.89*7.13*1 + 2*9*7.13*1*(1 - 1)) / 100= 21.4398 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 5.6419 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (300.89*(1*9 - 1*7.13) - 2*9*(1*9 - 1*7.13)*(1 - 1)) / 100= 5.6419 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(9 + 9)*(1*9 - 1*7.13) - 2*9*(1*9 - 1*7.13)*(1 - 1)) / 100= 0.6748 cm2
A2 = smaller of the following= 3.5677 cm2
= 5*(tn - trn)*fr2*t = (5*(9 - 1.07)*1*9) / 100 = 3.5677 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(9 - 1.07)*(2.5*9 + 15)*1) / 100 = 5.9458 cm2
A41 = Leg2*fr3
= (11.122*1) / 100 = 1.2374 cm2
(Part of the weld is outside of the limits)
V-8601 130
A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((425 - 300.89 - 2*9)*15*1) / 100 = 15.9165 cm2
Area = A1 + A2 + A41 + A42 + A5
= 5.6419 + 3.5677 + 1.2374 + 1.44 + 15.9165= 27.8036 cm2
As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 9 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 9 mm
tw(min) = 0.5*tmin = 4.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 8.3641*150.45 / (1,180*1 - 0.6*8.3641) + 6= 7.07 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 7.07 , 0 ]= 7.07 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 8.3641*1,001 / (1,180*1 - 0.6*8.3641) + 6= 13.12 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 13.12 , 7.5 ] = 13.12 mm
tb = min[ tb3 , tb1 ]
= min[ 14.33 , 13.12 ] = 13.12 mm
tUG-45 = max[ ta , tb ]
= max[ 7.07 , 13.12 ] = 13.12 mm
Available nozzle wall thickness new, tn = 0.875*15 = 13.13 mm The nozzle neck thickness is adequate.
V-8601 131
Allowable stresses in joints UG-45 and UW-15(c) Groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Nozzle wall in shear: 0.7*1,203.264 = 842.285 kgf/cm2
Inner fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Outer fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Upper groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Strength of welded joints: (1) Inner fillet weld in shear (π / 2)*Nozzle OD*Leg*Si = (π / 2)*318.89*12*589.599 = 35,440.47 kgf (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*425*12*589.599 = 47,233.21 kgf (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*309.89*9*842.285 = 36,900.25 kgf (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*318.89*9*890.415 = 40,144.08 kgf (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*318.89*15*890.415 = 66,902.93 kgf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (2,143.9803 - 564.1924 + 2*9*1*(1*9 - 1*7.13))*1,203.264= 19,415.15 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (356.7735 + 1,591.65 + 123.7417 + 143.9997)*1,203.264= 26,666.34 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (356.7735 + 0 + 123.7417 + 0 + 2*9*9*1)*1,203.264= 7,731.27 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (356.7735 + 0 + 1,591.65 + 123.7417 + 143.9997 + 0 + 2*9*9*1)*1,203.264= 28,615.74 kgf
Load for path 1-1 lesser of W or W1-1 = 19,415.15 kgf Path 1-1 through (2) & (3) = 47,233.21 + 36,900.25 = 84,133.47 kgf Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2). Load for path 2-2 lesser of W or W2-2 = 7,731.27 kgf Path 2-2 through (1), (4), (6) = 35,440.47 + 40,144.08 + 66,902.93 = 142,487.47 kgf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 19,415.15 kgf Path 3-3 through (2), (4) = 47,233.21 + 40,144.08 = 87,377.29 kgf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
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Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 14.67 bar @ 25 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
36.0118 36.0119 7.3219 9.8935 -- 15.9165 2.88 8.33 13.13
UG-41 Weld Failure Path Analysis Summary (kgf) All failure paths are stronger than the applicable weld loads
Weld load W
Weld load W1-1
Path 1-1strength
Weld load W2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
35,436 34,522 107,543 19,052 169,246 39,936 114,136
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 7.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 10.5 15 weld size is adequate
Calculations for internal pressure 14.67 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(288.89, 144.45 + (15 - 0) + (15 - 0))= 288.89 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(15 - 0) + 15) = 37.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 14.673*144.45 / (1,180*1 - 0.6*14.673) = 1.81 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 14.673*995 / (1,180*1 - 0.6*14.673) = 12.47 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |14.673*995 / (2*1,180*1.2 + 0.4*14.673) - 0.6*11,717.94 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 10,875.3 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.31 mm
V-8601 133
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |14.673*995 / (2*1,180*1.2 + 0.4*14.673) - 11,717.94 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 10,875.3 / (π*1,002.52*1,180*1.2)
* 98066.5| = 4.78 mm
Area required per UG-37(c) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (288.89*12.47*1 + 2*15*12.47*1*(1 - 1)) / 100= 36.0118 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 7.3219 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (288.89*(1*15 - 1*12.47) - 2*15*(1*15 - 1*12.47)*(1 - 1)) / 100= 7.3219 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(15 + 15)*(1*15 - 1*12.47) - 2*15*(1*15 - 1*12.47)*(1 - 1)) / 100= 1.5206 cm2
A2 = smaller of the following= 9.8935 cm2
= 5*(tn - trn)*fr2*t = (5*(15 - 1.81)*1*15) / 100 = 9.8935 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(15 - 1.81)*(2.5*15 + 15)*1) / 100 = 13.8509 cm2
A41 = Leg2*fr3
= (122*1) / 100 = 1.44 cm2
A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((425 - 288.89 - 2*15)*15*1) / 100 = 15.9165 cm2
Area = A1 + A2 + A41 + A42 + A5
= 7.3219 + 9.8935 + 1.44 + 1.44 + 15.9165= 36.0119 cm2
As Area >= A the reinforcement is adequate.
V-8601 134
UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 15 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 15 mm
tw(min) = 0.5*tmin = 7.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 14.673*144.45 / (1,180*1 - 0.6*14.673) + 0= 1.81 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 1.81 , 0 ]= 1.81 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 14.673*995 / (1,180*1 - 0.6*14.673) + 0= 12.47 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 12.47 , 1.5 ] = 12.47 mm
tb = min[ tb3 , tb1 ]
= min[ 8.33 , 12.47 ] = 8.33 mm
tUG-45 = max[ ta , tb ]
= max[ 1.81 , 8.33 ] = 8.33 mm
Available nozzle wall thickness new, tn = 0.875*15 = 13.13 mm The nozzle neck thickness is adequate. Allowable stresses in joints UG-45 and UW-15(c) Groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Nozzle wall in shear: 0.7*1,203.264 = 842.285 kgf/cm2
Inner fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Outer fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Upper groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
V-8601 135
Strength of welded joints: (1) Inner fillet weld in shear (π / 2)*Nozzle OD*Leg*Si = (π / 2)*318.89*12*589.599 = 35,440.47 kgf (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*425*12*589.599 = 47,233.21 kgf (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*303.89*15*842.285 = 60,309.67 kgf (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*318.89*15*890.415 = 66,902.93 kgf (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*318.89*15*890.415 = 66,902.93 kgf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (3,601.1751 - 732.1921 + 2*15*1*(1*15 - 1*12.47))*1,203.264= 35,436.36 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (989.3529 + 1,591.65 + 143.9997 + 143.9997)*1,203.264= 34,521.71 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (989.3529 + 0 + 143.9997 + 0 + 2*15*15*1)*1,203.264= 19,051.93 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (989.3529 + 0 + 1,591.65 + 143.9997 + 143.9997 + 0 + 2*15*15*1)*1,203.264= 39,936.4 kgf
Load for path 1-1 lesser of W or W1-1 = 34,521.71 kgf Path 1-1 through (2) & (3) = 47,233.21 + 60,309.67 = 107,542.88 kgf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 19,051.93 kgf Path 2-2 through (1), (4), (6) = 35,440.47 + 66,902.93 + 66,902.93 = 169,246.32 kgf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 35,436.36 kgf Path 3-3 through (2), (4) = 47,233.21 + 66,902.93 = 114,136.14 kgf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
V-8601 136
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
13.5408 22.1365 -- 3.5426 -- 15.9165 2.6774 7.5 13.13
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 4.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 6.3 15 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(300.89, 150.45 + (15 - 6) + (15 - 6))= 300.89 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(15 - 6) + 15) = 22.5 mm
Nozzle required thickness per UG-28 trn = 1.13 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*10,300.77 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 4,238.1 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.62 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 10,300.77 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 4,238.1 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.93 mm
V-8601 137
Area required per UG-37(d)(1) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= (0.5*(300.89*9*1 + 2*9*9*1*(1 - 1))) / 100= 13.5408 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (300.89*(1*9 - 1*9) - 2*9*(1*9 - 1*9)*(1 - 1)) / 100= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(9 + 9)*(1*9 - 1*9) - 2*9*(1*9 - 1*9)*(1 - 1)) / 100= 0 cm2
A2 = smaller of the following= 3.5426 cm2
= 5*(tn - trn)*fr2*t = (5*(9 - 1.13)*1*9) / 100 = 3.5426 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(9 - 1.13)*(2.5*9 + 15)*1) / 100 = 5.9032 cm2
A41 = Leg2*fr3
= (11.122*1) / 100 = 1.2374 cm2
(Part of the weld is outside of the limits) A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((425 - 300.89 - 2*9)*15*1) / 100 = 15.9165 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 3.5426 + 1.2374 + 1.44 + 15.9165 = 22.1365 cm2
As Area >= A the reinforcement is adequate.
V-8601 138
UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 9 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 9 mm
tw(min) = 0.5*tmin = 4.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-28 = 7.13 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 7.13 , 0 ]= 7.13 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 14.33 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 7.13 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*15 = 13.13 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 307.66 / 318.89 = 0.9648 Do / t = 318.89 / 1.13 = 282.5223From table G: A = 0.000293 From table CS-2 Metric: B = 295.9459 kg/cm2 (290.22 bar)Pa = 4*B / (3*(Do / t))
= 4*290.22 / (3*(318.89 / 1.13)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 1.13 + 6 = 7.13 mm
V-8601 139
Level Gauge (LG) (K1A) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 9 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.5297 bar Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) Nozzle longitudinal joint efficiency: 1 Nozzle description: NPS 2 XX Heavy DN 50 Flange description: NPS 2 Class 300 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1218) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.5279 bar ASME B16.5-2003 flange rating MAWP: 45.1 bar @ 150°C ASME B16.5-2003 flange rating MAP: 51.1 bar @ 25°C ASME B16.5-2003 flange hydro test: 77 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 15° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 1,850 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 38.18 mm Nozzle nominal wall thickness: 11.07 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 175.15 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 140
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.42 9.69
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.55 6.3 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.036). Nozzle UCS-66 governing thk: 9.69 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(50.18, 25.09 + (11.07 - 6) + (15 - 6))= 50.18 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11.07 - 6) + 0) = 12.69 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5527*25.09 / (1,180*1 - 0.6*10.5527)= 0.23 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5527*1,001 / (1,180*1 - 0.6*10.5527)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5527*1,001 / (2*1,180*1.2 + 0.4*10.5527) - 0.6*11,703.52 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 5,388.9 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.76 mm
V-8601 141
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5527*1,001 / (2*1,180*1.2 + 0.4*10.5527) - 11,703.52 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 5,388.9 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.48 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.55 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5527*25.09 / (1,180*1 - 0.6*10.5527) + 6= 6.23 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.23 , 0 ]= 6.23 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5527*1,001 / (1,180*1 - 0.6*10.5527) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.42 , 15 ] = 9.42 mm
tUG-45 = max[ ta , tb ]
= max[ 6.23 , 9.42 ] = 9.42 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate.
V-8601 142
Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.42 9.69
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 6.3 weld size is adequate
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.18, 19.09 + (11.07 - 0) + (15 - 0))= 45.16 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11.07 - 0) + 0) = 27.69 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*19.09 / (1,180*1 - 0.6*17.6294)= 0.29 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*13,313.96 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 14,059.7 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.4 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 13,313.96 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 14,059.7 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.72 mm
V-8601 143
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*19.09 / (1,180*1 - 0.6*17.6294) + 0= 0.29 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.29 , 0 ]= 0.29 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.42 , 15 ] = 3.42 mm
tUG-45 = max[ ta , tb ]
= max[ 0.29 , 3.42 ] = 3.42 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate.
V-8601 144
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.69
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.55 6.3 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(50.18, 25.09 + (11.07 - 6) + (15 - 6))= 50.18 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11.07 - 6) + 0) = 12.69 mm
Nozzle required thickness per UG-28 trn = 0.39 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*11,703.52 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 5,388.9 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.6 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 11,703.52 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 5,388.9 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.99 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.55 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
V-8601 145
UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.39 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.39 , 0 ]= 6.39 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.42 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 6.39 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.45 / 60.32 = 4.0688 Do / t = 60.32 / 0.39 = 154.0723From table G: A = 0.000160 From table CS-2 Metric: B = 161.3873 kg/cm2 (158.27 bar)Pa = 4*B / (3*(Do / t))
= 4*158.27 / (3*(60.32 / 0.39)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.39 + 6 = 6.39 mm
V-8601 146
Level Gauge (LG) (K1B) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 9 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.6796 bar Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) Nozzle longitudinal joint efficiency: 1 Nozzle description: NPS 2 XX Heavy DN 50 Flange description: NPS 2 Class 300 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1247) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.6778 bar ASME B16.5-2003 flange rating MAWP: 45.1 bar @ 150°C ASME B16.5-2003 flange rating MAP: 51.1 bar @ 25°C ASME B16.5-2003 flange hydro test: 77 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 15° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 300 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 38.18 mm Nozzle nominal wall thickness: 11.07 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 175.15 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 147
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.42 9.69
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.55 6.3 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0369). Nozzle UCS-66 governing thk: 9.69 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(50.18, 25.09 + (11.07 - 6) + (15 - 6))= 50.18 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11.07 - 6) + 0) = 12.69 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5528*25.09 / (1,180*1 - 0.6*10.5528)= 0.23 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5528*1,001 / (1,180*1 - 0.6*10.5528)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5528*1,001 / (2*1,180*1.2 + 0.4*10.5528) - 0.6*13,743.3 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 8,814.4 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.83 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5528*1,001 / (2*1,180*1.2 + 0.4*10.5528) - 13,743.3 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 8,814.4 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.38 mm
V-8601 148
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.55 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5528*25.09 / (1,180*1 - 0.6*10.5528) + 6= 6.23 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.23 , 0 ]= 6.23 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5528*1,001 / (1,180*1 - 0.6*10.5528) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.42 , 15 ] = 9.42 mm
tUG-45 = max[ ta , tb ]
= max[ 6.23 , 9.42 ] = 9.42 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate. Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.42 9.69
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 6.3 weld size is adequate
V-8601 149
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.18, 19.09 + (11.07 - 0) + (15 - 0))= 45.16 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11.07 - 0) + 0) = 27.69 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*19.09 / (1,180*1 - 0.6*17.6294)= 0.29 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*15,832.83 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 22,477.1 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.57 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 15,832.83 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 22,477.1 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.51 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*19.09 / (1,180*1 - 0.6*17.6294) + 0= 0.29 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.29 , 0 ]= 0.29 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
V-8601 150
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.42 , 15 ] = 3.42 mm
tUG-45 = max[ ta , tb ]
= max[ 0.29 , 3.42 ] = 3.42 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.69
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.55 6.3 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(50.18, 25.09 + (11.07 - 6) + (15 - 6))= 50.18 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11.07 - 6) + 0) = 12.69 mm
Nozzle required thickness per UG-28 trn = 0.39 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*13,743.3 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 8,814.4 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.52 mm
V-8601 151
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 13,743.3 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 8,814.4 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1.12 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.55 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.39 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.39 , 0 ]= 6.39 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.42 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 6.39 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.45 / 60.32 = 4.0688 Do / t = 60.32 / 0.39 = 154.0723From table G: A = 0.000160 From table CS-2 Metric: B = 161.3873 kg/cm2 (158.27 bar)Pa = 4*B / (3*(Do / t))
= 4*158.27 / (3*(60.32 / 0.39)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.39 + 6 = 6.39 mm
V-8601 152
Level Transmitter(LICA) (K2A) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 9 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.5533 bar Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) Nozzle longitudinal joint efficiency: 1 Flange description: NPS 1.5 Class 300 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1222) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.552 bar ASME B16.5-2003 flange rating MAWP: 45.1 bar @ 150°C ASME B16.5-2003 flange rating MAP: 51.1 bar @ 25°C ASME B16.5-2003 flange hydro test: 77 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 300° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 1,600 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 26.26 mm Nozzle nominal wall thickness: 11 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 176.67 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 153
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.028). Nozzle UCS-66 governing thk: 9.63 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5528*19.13 / (1,180*1 - 0.6*10.5528)= 0.17 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5528*1,001 / (1,180*1 - 0.6*10.5528)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5528*1,001 / (2*1,180*1.2 + 0.4*10.5528) - 0.6*12,015.51 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 5,857.6 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.77 mm
V-8601 154
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5528*1,001 / (2*1,180*1.2 + 0.4*10.5528) - 12,015.51 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 5,857.6 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.47 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5528*19.13 / (1,180*1 - 0.6*10.5528) + 6= 6.17 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.17 , 0 ]= 6.17 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5528*1,001 / (1,180*1 - 0.6*10.5528) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.22 , 15 ] = 9.22 mm
tUG-45 = max[ ta , tb ]
= max[ 6.17 , 9.22 ] = 9.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate.
V-8601 155
Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 6.3 weld size is adequate
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(26.26, 13.13 + (11 - 0) + (15 - 0)) = 39.13 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11 - 0) + 0) = 27.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294)= 0.2 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*13,705.18 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 15,333.6 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.42 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 13,705.18 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 15,333.6 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.69 mm
V-8601 156
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294) + 0= 0.2 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.2 , 0 ]= 0.2 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.22 , 15 ] = 3.22 mm
tUG-45 = max[ ta , tb ]
= max[ 0.2 , 3.22 ] = 3.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.63
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
V-8601 157
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-28 trn = 0.35 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*12,015.51 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 5,857.6 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.59 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 12,015.51 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 5,857.6 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.35 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.35 , 0 ]= 6.35 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.22 , 7.5 ] = 7.5 mm
V-8601 158
tUG-45 = max[ ta , tb ]
= max[ 6.35 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.29 / 48.26 = 5.0826 Do / t = 48.26 / 0.35 = 139.8490From table G: A = 0.000146 From table CS-2 Metric: B = 146.491 kg/cm2 (143.66 bar)Pa = 4*B / (3*(Do / t))
= 4*143.66 / (3*(48.26 / 0.35)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.35 + 6 = 6.35 mm
V-8601 159
Level Transmitter(LICA) (K2B) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 9 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.6597 bar Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) Nozzle longitudinal joint efficiency: 1 Flange description: NPS 1.5 Class 300 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1243) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.6584 bar ASME B16.5-2003 flange rating MAWP: 45.1 bar @ 150°C ASME B16.5-2003 flange rating MAP: 51.1 bar @ 25°C ASME B16.5-2003 flange hydro test: 77 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 300° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 500 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 26.26 mm Nozzle nominal wall thickness: 11 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 176.67 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 160
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0285). Nozzle UCS-66 governing thk: 9.63 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5532*19.13 / (1,180*1 - 0.6*10.5532)= 0.17 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5532*1,001 / (1,180*1 - 0.6*10.5532)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5532*1,001 / (2*1,180*1.2 + 0.4*10.5532) - 0.6*13,521.34 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 8,431.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.82 mm
V-8601 161
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5532*1,001 / (2*1,180*1.2 + 0.4*10.5532) - 13,521.34 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 8,431.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.39 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5532*19.13 / (1,180*1 - 0.6*10.5532) + 6= 6.17 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.17 , 0 ]= 6.17 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5532*1,001 / (1,180*1 - 0.6*10.5532) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.22 , 15 ] = 9.22 mm
tUG-45 = max[ ta , tb ]
= max[ 6.17 , 9.22 ] = 9.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate.
V-8601 162
Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 6.3 weld size is adequate
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(26.26, 13.13 + (11 - 0) + (15 - 0)) = 39.13 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11 - 0) + 0) = 27.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294)= 0.2 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*15,546.39 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 21,450.4 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.55 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 15,546.39 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 21,450.4 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.54 mm
V-8601 163
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294) + 0= 0.2 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.2 , 0 ]= 0.2 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.22 , 15 ] = 3.22 mm
tUG-45 = max[ ta , tb ]
= max[ 0.2 , 3.22 ] = 3.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate.
V-8601 164
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.63
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-28 trn = 0.35 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*13,521.34 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 8,431.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.53 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 13,521.34 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 8,431.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1.1 mm
V-8601 165
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.35 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.35 , 0 ]= 6.35 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.22 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 6.35 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.29 / 48.26 = 5.0826 Do / t = 48.26 / 0.35 = 139.8490From table G: A = 0.000146 From table CS-2 Metric: B = 146.491 kg/cm2 (143.66 bar)Pa = 4*B / (3*(Do / t))
= 4*143.66 / (3*(48.26 / 0.35)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.35 + 6 = 6.35 mm
V-8601 166
Level Transmitter(LZA) (K3A) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 9 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.5533 bar Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) Nozzle longitudinal joint efficiency: 1 Flange description: NPS 1.5 Class 300 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1222) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.552 bar ASME B16.5-2003 flange rating MAWP: 45.1 bar @ 150°C ASME B16.5-2003 flange rating MAP: 51.1 bar @ 25°C ASME B16.5-2003 flange hydro test: 77 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 315° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 1,600 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 26.26 mm Nozzle nominal wall thickness: 11 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 176.67 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 167
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.028). Nozzle UCS-66 governing thk: 9.63 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5528*19.13 / (1,180*1 - 0.6*10.5528)= 0.17 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5528*1,001 / (1,180*1 - 0.6*10.5528)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5528*1,001 / (2*1,180*1.2 + 0.4*10.5528) - 0.6*12,015.51 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 5,857.6 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.77 mm
V-8601 168
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5528*1,001 / (2*1,180*1.2 + 0.4*10.5528) - 12,015.51 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 5,857.6 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.47 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5528*19.13 / (1,180*1 - 0.6*10.5528) + 6= 6.17 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.17 , 0 ]= 6.17 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5528*1,001 / (1,180*1 - 0.6*10.5528) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.22 , 15 ] = 9.22 mm
tUG-45 = max[ ta , tb ]
= max[ 6.17 , 9.22 ] = 9.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate.
V-8601 169
Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 6.3 weld size is adequate
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(26.26, 13.13 + (11 - 0) + (15 - 0)) = 39.13 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11 - 0) + 0) = 27.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294)= 0.2 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*13,705.18 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 15,333.6 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.42 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 13,705.18 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 15,333.6 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.69 mm
V-8601 170
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294) + 0= 0.2 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.2 , 0 ]= 0.2 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.22 , 15 ] = 3.22 mm
tUG-45 = max[ ta , tb ]
= max[ 0.2 , 3.22 ] = 3.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.63
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
V-8601 171
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-28 trn = 0.35 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*12,015.51 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 5,857.6 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.59 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 12,015.51 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 5,857.6 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.35 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.35 , 0 ]= 6.35 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.22 , 7.5 ] = 7.5 mm
V-8601 172
tUG-45 = max[ ta , tb ]
= max[ 6.35 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.29 / 48.26 = 5.0826 Do / t = 48.26 / 0.35 = 139.8490From table G: A = 0.000146 From table CS-2 Metric: B = 146.491 kg/cm2 (143.66 bar)Pa = 4*B / (3*(Do / t))
= 4*143.66 / (3*(48.26 / 0.35)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.35 + 6 = 6.35 mm
V-8601 173
Level Transmitter(LZA) (K3B) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 9 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.6597 bar Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) Nozzle longitudinal joint efficiency: 1 Flange description: NPS 1.5 Class 300 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1243) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.6584 bar ASME B16.5-2003 flange rating MAWP: 45.1 bar @ 150°C ASME B16.5-2003 flange rating MAP: 51.1 bar @ 25°C ASME B16.5-2003 flange hydro test: 77 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 315° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 500 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 26.26 mm Nozzle nominal wall thickness: 11 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 176.67 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 174
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0285). Nozzle UCS-66 governing thk: 9.63 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5532*19.13 / (1,180*1 - 0.6*10.5532)= 0.17 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5532*1,001 / (1,180*1 - 0.6*10.5532)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5532*1,001 / (2*1,180*1.2 + 0.4*10.5532) - 0.6*13,521.34 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 8,431.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.82 mm
V-8601 175
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5532*1,001 / (2*1,180*1.2 + 0.4*10.5532) - 13,521.34 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 8,431.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.39 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5532*19.13 / (1,180*1 - 0.6*10.5532) + 6= 6.17 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.17 , 0 ]= 6.17 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5532*1,001 / (1,180*1 - 0.6*10.5532) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.22 , 15 ] = 9.22 mm
tUG-45 = max[ ta , tb ]
= max[ 6.17 , 9.22 ] = 9.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate.
V-8601 176
Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 6.3 weld size is adequate
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(26.26, 13.13 + (11 - 0) + (15 - 0)) = 39.13 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11 - 0) + 0) = 27.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294)= 0.2 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*15,546.39 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 21,450.4 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.55 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 15,546.39 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 21,450.4 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.54 mm
V-8601 177
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294) + 0= 0.2 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.2 , 0 ]= 0.2 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.22 , 15 ] = 3.22 mm
tUG-45 = max[ ta , tb ]
= max[ 0.2 , 3.22 ] = 3.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.63
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
V-8601 178
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-28 trn = 0.35 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*13,521.34 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 8,431.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.53 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 13,521.34 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 8,431.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1.1 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.35 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.35 , 0 ]= 6.35 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.22 , 7.5 ] = 7.5 mm
V-8601 179
tUG-45 = max[ ta , tb ]
= max[ 6.35 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.29 / 48.26 = 5.0826 Do / t = 48.26 / 0.35 = 139.8490From table G: A = 0.000146 From table CS-2 Metric: B = 146.491 kg/cm2 (143.66 bar)Pa = 4*B / (3*(Do / t))
= 4*143.66 / (3*(48.26 / 0.35)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.35 + 6 = 6.35 mm
V-8601 180
Level Transmitter(LZA) (K4A) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 9 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.5533 bar Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) Nozzle longitudinal joint efficiency: 1 Flange description: NPS 1.5 Class 300 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1222) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.552 bar ASME B16.5-2003 flange rating MAWP: 45.1 bar @ 150°C ASME B16.5-2003 flange rating MAP: 51.1 bar @ 25°C ASME B16.5-2003 flange hydro test: 77 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 330° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 1,600 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 26.26 mm Nozzle nominal wall thickness: 11 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 176.67 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 181
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.028). Nozzle UCS-66 governing thk: 9.63 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5528*19.13 / (1,180*1 - 0.6*10.5528)= 0.17 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5528*1,001 / (1,180*1 - 0.6*10.5528)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5528*1,001 / (2*1,180*1.2 + 0.4*10.5528) - 0.6*12,015.51 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 5,857.6 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.77 mm
V-8601 182
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5528*1,001 / (2*1,180*1.2 + 0.4*10.5528) - 12,015.51 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 5,857.6 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.47 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5528*19.13 / (1,180*1 - 0.6*10.5528) + 6= 6.17 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.17 , 0 ]= 6.17 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5528*1,001 / (1,180*1 - 0.6*10.5528) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.22 , 15 ] = 9.22 mm
tUG-45 = max[ ta , tb ]
= max[ 6.17 , 9.22 ] = 9.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate.
V-8601 183
Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 6.3 weld size is adequate
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(26.26, 13.13 + (11 - 0) + (15 - 0)) = 39.13 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11 - 0) + 0) = 27.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294)= 0.2 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*13,705.18 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 15,333.6 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.42 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 13,705.18 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 15,333.6 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.69 mm
V-8601 184
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294) + 0= 0.2 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.2 , 0 ]= 0.2 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.22 , 15 ] = 3.22 mm
tUG-45 = max[ ta , tb ]
= max[ 0.2 , 3.22 ] = 3.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.63
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
V-8601 185
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-28 trn = 0.35 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*12,015.51 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 5,857.6 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.59 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 12,015.51 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 5,857.6 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.35 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.35 , 0 ]= 6.35 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.22 , 7.5 ] = 7.5 mm
V-8601 186
tUG-45 = max[ ta , tb ]
= max[ 6.35 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.29 / 48.26 = 5.0826 Do / t = 48.26 / 0.35 = 139.8490From table G: A = 0.000146 From table CS-2 Metric: B = 146.491 kg/cm2 (143.66 bar)Pa = 4*B / (3*(Do / t))
= 4*143.66 / (3*(48.26 / 0.35)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.35 + 6 = 6.35 mm
V-8601 187
Level Transmitter(LZA) (K4B) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 9 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.6597 bar Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) Nozzle longitudinal joint efficiency: 1 Flange description: NPS 1.5 Class 300 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1243) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.6584 bar ASME B16.5-2003 flange rating MAWP: 45.1 bar @ 150°C ASME B16.5-2003 flange rating MAP: 51.1 bar @ 25°C ASME B16.5-2003 flange hydro test: 77 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 330° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 500 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 26.26 mm Nozzle nominal wall thickness: 11 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 176.67 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 188
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0285). Nozzle UCS-66 governing thk: 9.63 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5532*19.13 / (1,180*1 - 0.6*10.5532)= 0.17 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5532*1,001 / (1,180*1 - 0.6*10.5532)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5532*1,001 / (2*1,180*1.2 + 0.4*10.5532) - 0.6*13,521.34 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 8,431.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.82 mm
V-8601 189
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5532*1,001 / (2*1,180*1.2 + 0.4*10.5532) - 13,521.34 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 8,431.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.39 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5532*19.13 / (1,180*1 - 0.6*10.5532) + 6= 6.17 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.17 , 0 ]= 6.17 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5532*1,001 / (1,180*1 - 0.6*10.5532) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.22 , 15 ] = 9.22 mm
tUG-45 = max[ ta , tb ]
= max[ 6.17 , 9.22 ] = 9.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate.
V-8601 190
Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 6.3 weld size is adequate
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(26.26, 13.13 + (11 - 0) + (15 - 0)) = 39.13 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11 - 0) + 0) = 27.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294)= 0.2 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*15,546.39 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 21,450.4 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.55 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 15,546.39 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 21,450.4 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.54 mm
V-8601 191
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294) + 0= 0.2 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.2 , 0 ]= 0.2 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.22 , 15 ] = 3.22 mm
tUG-45 = max[ ta , tb ]
= max[ 0.2 , 3.22 ] = 3.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.63
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
V-8601 192
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-28 trn = 0.35 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*13,521.34 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 8,431.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.53 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 13,521.34 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 8,431.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1.1 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.35 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.35 , 0 ]= 6.35 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.22 , 7.5 ] = 7.5 mm
V-8601 193
tUG-45 = max[ ta , tb ]
= max[ 6.35 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.29 / 48.26 = 5.0826 Do / t = 48.26 / 0.35 = 139.8490From table G: A = 0.000146 From table CS-2 Metric: B = 146.491 kg/cm2 (143.66 bar)Pa = 4*B / (3*(Do / t))
= 4*143.66 / (3*(48.26 / 0.35)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.35 + 6 = 6.35 mm
V-8601 194
Level Transmitter(LZA) (K5A) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 9 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.5533 bar Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) Nozzle longitudinal joint efficiency: 1 Flange description: NPS 1.5 Class 300 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1222) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.552 bar ASME B16.5-2003 flange rating MAWP: 45.1 bar @ 150°C ASME B16.5-2003 flange rating MAP: 51.1 bar @ 25°C ASME B16.5-2003 flange hydro test: 77 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 345° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 1,600 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 26.26 mm Nozzle nominal wall thickness: 11 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 176.67 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 195
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.028). Nozzle UCS-66 governing thk: 9.63 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5528*19.13 / (1,180*1 - 0.6*10.5528)= 0.17 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5528*1,001 / (1,180*1 - 0.6*10.5528)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5528*1,001 / (2*1,180*1.2 + 0.4*10.5528) - 0.6*12,015.51 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 5,857.6 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.77 mm
V-8601 196
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5528*1,001 / (2*1,180*1.2 + 0.4*10.5528) - 12,015.51 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 5,857.6 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.47 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5528*19.13 / (1,180*1 - 0.6*10.5528) + 6= 6.17 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.17 , 0 ]= 6.17 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5528*1,001 / (1,180*1 - 0.6*10.5528) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.22 , 15 ] = 9.22 mm
tUG-45 = max[ ta , tb ]
= max[ 6.17 , 9.22 ] = 9.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate.
V-8601 197
Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 6.3 weld size is adequate
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(26.26, 13.13 + (11 - 0) + (15 - 0)) = 39.13 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11 - 0) + 0) = 27.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294)= 0.2 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*13,705.18 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 15,333.6 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.42 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 13,705.18 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 15,333.6 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.69 mm
V-8601 198
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294) + 0= 0.2 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.2 , 0 ]= 0.2 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.22 , 15 ] = 3.22 mm
tUG-45 = max[ ta , tb ]
= max[ 0.2 , 3.22 ] = 3.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.63
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
V-8601 199
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-28 trn = 0.35 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*12,015.51 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 5,857.6 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.59 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 12,015.51 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 5,857.6 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.35 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.35 , 0 ]= 6.35 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.22 , 7.5 ] = 7.5 mm
V-8601 200
tUG-45 = max[ ta , tb ]
= max[ 6.35 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.29 / 48.26 = 5.0826 Do / t = 48.26 / 0.35 = 139.8490From table G: A = 0.000146 From table CS-2 Metric: B = 146.491 kg/cm2 (143.66 bar)Pa = 4*B / (3*(Do / t))
= 4*143.66 / (3*(48.26 / 0.35)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.35 + 6 = 6.35 mm
V-8601 201
Level Transmitter(LZA) (K5B) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 9 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.6597 bar Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) Nozzle longitudinal joint efficiency: 1 Flange description: NPS 1.5 Class 300 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1243) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.6584 bar ASME B16.5-2003 flange rating MAWP: 45.1 bar @ 150°C ASME B16.5-2003 flange rating MAP: 51.1 bar @ 25°C ASME B16.5-2003 flange hydro test: 77 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 345° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 500 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 26.26 mm Nozzle nominal wall thickness: 11 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 176.67 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 202
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0285). Nozzle UCS-66 governing thk: 9.63 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5532*19.13 / (1,180*1 - 0.6*10.5532)= 0.17 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5532*1,001 / (1,180*1 - 0.6*10.5532)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5532*1,001 / (2*1,180*1.2 + 0.4*10.5532) - 0.6*13,521.34 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 8,431.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.82 mm
V-8601 203
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5532*1,001 / (2*1,180*1.2 + 0.4*10.5532) - 13,521.34 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 8,431.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.39 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5532*19.13 / (1,180*1 - 0.6*10.5532) + 6= 6.17 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.17 , 0 ]= 6.17 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5532*1,001 / (1,180*1 - 0.6*10.5532) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.22 , 15 ] = 9.22 mm
tUG-45 = max[ ta , tb ]
= max[ 6.17 , 9.22 ] = 9.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate.
V-8601 204
Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 6.3 weld size is adequate
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(26.26, 13.13 + (11 - 0) + (15 - 0)) = 39.13 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11 - 0) + 0) = 27.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294)= 0.2 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*15,546.39 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 21,450.4 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.55 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 15,546.39 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 21,450.4 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.54 mm
V-8601 205
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294) + 0= 0.2 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.2 , 0 ]= 0.2 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.22 , 15 ] = 3.22 mm
tUG-45 = max[ ta , tb ]
= max[ 0.2 , 3.22 ] = 3.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate.
V-8601 206
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.63
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-28 trn = 0.35 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*13,521.34 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 8,431.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.53 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 13,521.34 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 8,431.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1.1 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
V-8601 207
UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.35 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.35 , 0 ]= 6.35 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.22 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 6.35 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.29 / 48.26 = 5.0826 Do / t = 48.26 / 0.35 = 139.8490From table G: A = 0.000146 From table CS-2 Metric: B = 146.491 kg/cm2 (143.66 bar)Pa = 4*B / (3*(Do / t))
= 4*143.66 / (3*(48.26 / 0.35)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.35 + 6 = 6.35 mm
V-8601 208
Level Transmitter(LZA) (K6A) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 9 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.5533 bar Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) Nozzle longitudinal joint efficiency: 1 Flange description: NPS 1.5 Class 300 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1222) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.552 bar ASME B16.5-2003 flange rating MAWP: 45.1 bar @ 150°C ASME B16.5-2003 flange rating MAP: 51.1 bar @ 25°C ASME B16.5-2003 flange hydro test: 77 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 0° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 1,600 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 26.26 mm Nozzle nominal wall thickness: 11 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 176.67 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 209
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.028). Nozzle UCS-66 governing thk: 9.63 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5528*19.13 / (1,180*1 - 0.6*10.5528)= 0.17 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5528*1,001 / (1,180*1 - 0.6*10.5528)= 9 mm
V-8601 210
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5528*1,001 / (2*1,180*1.2 + 0.4*10.5528) - 0.6*12,015.51 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 5,857.6 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.77 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5528*1,001 / (2*1,180*1.2 + 0.4*10.5528) - 12,015.51 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 5,857.6 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.47 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5528*19.13 / (1,180*1 - 0.6*10.5528) + 6= 6.17 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.17 , 0 ]= 6.17 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5528*1,001 / (1,180*1 - 0.6*10.5528) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.22 , 15 ] = 9.22 mm
tUG-45 = max[ ta , tb ]
= max[ 6.17 , 9.22 ] = 9.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate.
V-8601 211
Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 6.3 weld size is adequate
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(26.26, 13.13 + (11 - 0) + (15 - 0)) = 39.13 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11 - 0) + 0) = 27.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294)= 0.2 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*13,705.18 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 15,333.6 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.42 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 13,705.18 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 15,333.6 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.69 mm
V-8601 212
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294) + 0= 0.2 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.2 , 0 ]= 0.2 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.22 , 15 ] = 3.22 mm
tUG-45 = max[ ta , tb ]
= max[ 0.2 , 3.22 ] = 3.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.63
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
V-8601 213
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-28 trn = 0.35 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*12,015.51 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 5,857.6 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.59 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 12,015.51 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 5,857.6 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.35 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.35 , 0 ]= 6.35 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.22 , 7.5 ] = 7.5 mm
V-8601 214
tUG-45 = max[ ta , tb ]
= max[ 6.35 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.29 / 48.26 = 5.0826 Do / t = 48.26 / 0.35 = 139.8490From table G: A = 0.000146 From table CS-2 Metric: B = 146.491 kg/cm2 (143.66 bar)Pa = 4*B / (3*(Do / t))
= 4*143.66 / (3*(48.26 / 0.35)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.35 + 6 = 6.35 mm
V-8601 215
Level Transmitter(LZA) (K6B) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 9 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.6597 bar Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) Nozzle longitudinal joint efficiency: 1 Flange description: NPS 1.5 Class 300 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)
Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.1243) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.6584 bar ASME B16.5-2003 flange rating MAWP: 45.1 bar @ 150°C ASME B16.5-2003 flange rating MAP: 51.1 bar @ 25°C ASME B16.5-2003 flange hydro test: 77 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 0° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 500 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 26.26 mm Nozzle nominal wall thickness: 11 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 176.67 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 216
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0285). Nozzle UCS-66 governing thk: 9.63 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5532*19.13 / (1,180*1 - 0.6*10.5532)= 0.17 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5532*1,001 / (1,180*1 - 0.6*10.5532)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5532*1,001 / (2*1,180*1.2 + 0.4*10.5532) - 0.6*13,521.34 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 8,431.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.82 mm
V-8601 217
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5532*1,001 / (2*1,180*1.2 + 0.4*10.5532) - 13,521.34 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 8,431.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.39 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5532*19.13 / (1,180*1 - 0.6*10.5532) + 6= 6.17 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.17 , 0 ]= 6.17 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5532*1,001 / (1,180*1 - 0.6*10.5532) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.22 , 15 ] = 9.22 mm
tUG-45 = max[ ta , tb ]
= max[ 6.17 , 9.22 ] = 9.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate.
V-8601 218
Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.22 9.63
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 6.3 weld size is adequate
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(26.26, 13.13 + (11 - 0) + (15 - 0)) = 39.13 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11 - 0) + 0) = 27.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294)= 0.2 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*15,546.39 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 21,450.4 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.55 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 15,546.39 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 21,450.4 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.54 mm
V-8601 219
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*13.13 / (1,180*1 - 0.6*17.6294) + 0= 0.2 mm
ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.2 , 0 ]= 0.2 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.22 , 15 ] = 3.22 mm
tUG-45 = max[ ta , tb ]
= max[ 0.2 , 3.22 ] = 3.22 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.63
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.5 6.3 weld size is adequate
V-8601 220
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.26, 19.13 + (11 - 6) + (15 - 6)) = 38.26 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11 - 6) + 0) = 12.5 mm
Nozzle required thickness per UG-28 trn = 0.35 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*13,521.34 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 8,431.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.53 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 13,521.34 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 8,431.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1.1 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.5 mm tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.35 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.35 , 0 ]= 6.35 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.22 , 7.5 ] = 7.5 mm
V-8601 221
tUG-45 = max[ ta , tb ]
= max[ 6.35 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11 = 9.63 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.29 / 48.26 = 5.0826 Do / t = 48.26 / 0.35 = 139.8490From table G: A = 0.000146 From table CS-2 Metric: B = 146.491 kg/cm2 (143.66 bar)Pa = 4*B / (3*(Do / t))
= 4*143.66 / (3*(48.26 / 0.35)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.35 + 6 = 6.35 mm
V-8601 222
Acid Gas Inlet (N1) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 12 mm tw(upper) = 15 mm Leg42 = 12 mm Dp = 460 mm te = 15 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.5583 bar
Nozzle material specification: SA-516 60 (II-D Metric p. 10, ln. 27) (normalized)
Nozzle longitudinal joint efficiency: 1
Pad material specification: SA-516 60 (II-D Metric p. 10, ln. 27) (normalized)
Pad diameter: 460 mmFlange description: NPS 12 Class 150 WN A105 Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32) Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.3183) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.5443 bar ASME B16.5-2003 flange rating MAWP: 15.8 bar @ 150°C ASME B16.5-2003 flange rating MAP: 19.6 bar @ 25°C ASME B16.5-2003 flange hydro test: 30 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 270° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 1,680 mm End of nozzle to shell center: 1,305 mm Nozzle inside diameter, new: 288.89 mm Nozzle nominal wall thickness: 15 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 180.7 mm Projection available outside vessel to flange face, Lf: 295 mm Pad is split: No
V-8601 223
Reinforcement Calculations for Internal Pressure Local stresses at the pad edge per WRC-107 govern the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 6.25 bar @ 150 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
16.012 38.6039 11.0697 3.6903 -- 21.1665 2.6774 11.32 15
UG-41 Weld Failure Path Analysis Summary (kgf) All failure paths are stronger than the applicable weld loads
Weld load W
Weld load W1-1
Path 1-1strength
Weld load W2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
6,744 33,131 88,023 7,879 142,487 35,080 91,267
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 4.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 6.3 15 weld size is adequate
Calculations for internal pressure 6.25 bar @ 150 °C Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2447). External nozzle loadings per UG-22 govern the coincident ratio used. Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 23.7 °C, (coincident ratio = 0.5913) Rated MDMT of -85.83°C is limited to -48°C by UCS-66(b)(2). Nozzle UCS-66 governing thk: 15 mm Nozzle rated MDMT: -105 °C Pad UCS-66 governing thickness: 15 mm Pad rated MDMT: -48 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(300.89, 150.45 + (15 - 6) + (15 - 6))= 300.89 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(15 - 6) + 15) = 22.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 6.2531*150.45 / (1,180*1 - 0.6*6.2531) = 0.8 mm
V-8601 224
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 6.2531*1,001 / (1,180*1 - 0.6*6.2531) = 5.32 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |6.2531*1,001 / (2*1,180*1.2 + 0.4*6.2531) - 0.6*11,910.51 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 5,708.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 2.25 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |6.2531*1,001 / (2*1,180*1.2 + 0.4*6.2531) - 11,910.51 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 5,708.8 / (π*1,005.52*1,180*1.2)
* 98066.5| = 1.95 mm
Area required per UG-37(c) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (300.89*5.32*1 + 2*9*5.32*1*(1 - 1)) / 100= 16.012 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 11.0697 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (300.89*(1*9 - 1*5.32) - 2*9*(1*9 - 1*5.32)*(1 - 1)) / 100= 11.0697 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(9 + 9)*(1*9 - 1*5.32) - 2*9*(1*9 - 1*5.32)*(1 - 1)) / 100= 1.3245 cm2
A2 = smaller of the following= 3.6903 cm2
= 5*(tn - trn)*fr2*t = (5*(9 - 0.8)*1*9) / 100 = 3.6903 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(9 - 0.8)*(2.5*9 + 15)*1) / 100 = 6.1497 cm2
A41 = Leg2*fr3
= (11.122*1) / 100 = 1.2374 cm2
(Part of the weld is outside of the limits)
V-8601 225
A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((460 - 300.89 - 2*9)*15*1) / 100 = 21.1665 cm2
Area = A1 + A2 + A41 + A42 + A5
= 11.0697 + 3.6903 + 1.2374 + 1.44 + 21.1665= 38.6039 cm2
As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 9 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 9 mm
tw(min) = 0.5*tmin = 4.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 6.2531*150.45 / (1,180*1 - 0.6*6.2531) + 6= 6.8 mm
ta UG-22 = 8.2 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.8 , 8.2 ] = 8.2 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 6.2531*1,001 / (1,180*1 - 0.6*6.2531) + 6= 11.32 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 11.32 , 7.5 ] = 11.32 mm
tb = min[ tb3 , tb1 ]
= min[ 14.33 , 11.32 ] = 11.32 mm
tUG-45 = max[ ta , tb ]
= max[ 8.2 , 11.32 ] = 11.32 mm
Available nozzle wall thickness new, tn = 15 mm The nozzle neck thickness is adequate.
V-8601 226
Allowable stresses in joints UG-45 and UW-15(c) Groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Nozzle wall in shear: 0.7*1,203.264 = 842.285 kgf/cm2
Inner fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Outer fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Upper groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Strength of welded joints: (1) Inner fillet weld in shear (π / 2)*Nozzle OD*Leg*Si = (π / 2)*318.89*12*589.599 = 35,440.47 kgf (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*460*12*589.599 = 51,123.01 kgf (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*309.89*9*842.285 = 36,900.25 kgf (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*318.89*9*890.415 = 40,144.08 kgf (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*318.89*15*890.415 = 66,902.93 kgf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (1,601.2024 - 1,106.9655 + 2*9*1*(1*9 - 1*5.32))*1,203.264= 6,743.8 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (369.0315 + 2,116.65 + 123.7417 + 143.9997)*1,203.264= 33,130.98 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (369.0315 + 0 + 123.7417 + 0 + 2*9*9*1)*1,203.264= 7,878.77 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (369.0315 + 0 + 2,116.65 + 123.7417 + 143.9997 + 0 + 2*9*9*1)*1,203.264= 35,080.38 kgf
Load for path 1-1 lesser of W or W1-1 = 6,743.8 kgf Path 1-1 through (2) & (3) = 51,123.01 + 36,900.25 = 88,023.26 kgf Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2). Load for path 2-2 lesser of W or W2-2 = 6,743.8 kgf Path 2-2 through (1), (4), (6) = 35,440.47 + 40,144.08 + 66,902.93 = 142,487.48 kgf Path 2-2 is stronger than W so it is acceptable per UG-41(b)(2). Load for path 3-3 lesser of W or W3-3 = 6,743.8 kgf Path 3-3 through (2), (4) = 51,123.01 + 40,144.08 = 91,267.08 kgf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
V-8601 227
Applied Loads Radial load: Pr = 1,286.94 kgf Circumferential moment: Mc = 1,260 kgf-m Circumferential shear: Vc = 910 kgf Longitudinal moment: ML = 1,260 kgf-m Longitudinal shear: VL = 910 kgf Torsion moment: Mt = 1,781.9 kgf-m Internal pressure: P = 6.25 bar Mean shell radius: Rm = 1,005.5 mm Local shell thickness: t = 9 mm Shell yield stress: Sy = 1,988.45 kgf/cm2
Maximum stresses due to the applied loads at the pad edge (includes pressure) Rm / t = 1,005.5 / 9 = 111.7157 Pressure stress intensity factor, I = 1 (derived from PVP-Vol. 399, pages 77-82) Local circumferential pressure stress = I*P*Ri / t =709.186 kgf/cm2 Local longitudinal pressure stress = I*P*Ri / (2*t) =354.628 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 3,609.77 kgf/cm2 Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 1,086.52 kgf/cm2 Allowable local primary membrane (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The maximum local primary membrane stress (PL) is within allowable limits.
V-8601 228
Stresses at the pad edge per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 5.2655 0.2001 0 0 0 0 -74.877 -74.877 -74.877 -74.877
4C* 11.7795 0.2001 -167.541 -167.541 -167.541 -167.541 0 0 0 0
1C 0.06 0.2001 0 0 0 0 -571.876 571.876 -571.876 571.876
2C-1 0.0165 0.2001 -157.277 157.277 -157.277 157.277 0 0 0 0
3A* 3.6089 0.2001 0 0 0 0 -249.66 -249.66 249.66 249.66
1A 0.0572 0.2001 0 0 0 0 -2,652.468
2,652.468
2,652.468
-2,652.468
3B* 7.8758 0.2001 -544.878 -544.878 544.878 544.878 0 0 0 0
1B-1 0.0129 0.2001 -598.171 598.171 598.171 -598.171 0 0 0 0
Pressure stress* 709.186 709.186 709.186 709.186 709.186 709.186 709.186 709.186
Total circumferential stress -758.682 752.214 1,527.417 645.628
-2,839.696
3,608.994
2,964.561
-1,196.623
Primary membrane circumferential stress* -3.234 -3.234 1,086.52
3 1,086.523 384.649 384.649 883.969 883.969
3C* 5.2655 0.2001 -74.877 -74.877 -74.877 -74.877 0 0 0 0
4C* 11.7795 0.2001 0 0 0 0 -167.541 -167.541 -167.541 -167.541
1C-1 0.0398 0.2001 -379.376 379.376 -379.376 379.376 0 0 0 0
2C 0.034 0.2001 0 0 0 0 -324.115 324.115 -324.115 324.115
4A* 9.9374 0.2001 0 0 0 0 -687.461 -687.461 687.461 687.461
2A 0.0245 0.2001 0 0 0 0 -1,136.089
1,136.089
1,136.089
-1,136.089
4B* 3.6744 0.2001 -254.23 -254.23 254.23 254.23 0 0 0 0
2B-1 0.0173 0.2001 -802.202 802.202 802.202 -802.202 0 0 0 0
Pressure stress* 354.628 354.628 354.628 354.628 354.628 354.628 354.628 354.628
Total longitudinal stress -1,156.056
1,207.099 956.807 111.155
-1,960.578
959.83 1,686.522 62.573
Primary membrane longitudinal stress* 25.521 25.521 533.981 533.981 -500.374 -500.374 874.548 874.548
Shear from Mt 59.55 59.55 59.55 59.55 59.55 59.55 59.55 59.55
Circ shear from Vc 13.991 13.991 -13.991 -13.991 0 0 0 0
Long shear from VL 0 0 0 0 -13.991 -13.991 13.991 13.991
Total Shear stress 73.541 73.541 45.559 45.559 45.559 45.559 73.541 73.541
Combined stress (PL+Pb+Q) -1,169.204
1,218.7 1,531.003 649.495
-2,842.016
3,609.767
2,968.779
1,267.774
Note: * denotes primary stress.
V-8601 229
Maximum stresses due to the applied loads at the nozzle OD (includes pressure) Rm / t = 1,005.5 / 24 = 41.8949 Pressure stress intensity factor, I = 0.82027 (derived from PVP-Vol. 399, pages 77-82) Local circumferential pressure stress = I*P*Ri / t =581.719 kgf/cm2 Local longitudinal pressure stress = I*P*Ri / (2*t) =290.86 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 1,579.87 kgf/cm2 Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 739.63 kgf/cm2 Allowable local primary membrane (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The maximum local primary membrane stress (PL) is within allowable limits.
Stresses at the nozzle OD per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 5.2994 0.1388 0 0 0 0 -28.263 -28.263 -28.263 -28.263
4C* 6.7081 0.1388 -35.786 -35.786 -35.786 -35.786 0 0 0 0
1C 0.097 0.1388 0 0 0 0 -129.997 129.997 -129.997 129.997
2C-1 0.0621 0.1388 -83.243 83.243 -83.243 83.243 0 0 0 0
3A* 1.5688 0.1388 0 0 0 0 -58.706 -58.706 58.706 58.706
1A 0.0878 0.1388 0 0 0 0 -825.965 825.965 825.965 -825.965
3B* 4.6716 0.1388 -174.853 -174.853 174.853 174.853 0 0 0 0
1B-1 0.0371 0.1388 -349.003 349.003 349.003 -349.003 0 0 0 0
Pressure stress* 581.719 581.719 581.719 581.719 709.186 709.186 709.186 709.186
Total circumferential stress -61.167 803.327 986.546 455.026 -333.747 1,578.179 1,435.597 43.661
Primary membrane circumferential stress* 371.08 371.08 720.786 720.786 622.216 622.216 739.629 739.629
3C* 5.2994 0.1388 -28.263 -28.263 -28.263 -28.263 0 0 0 0
4C* 6.7081 0.1388 0 0 0 0 -35.786 -35.786 -35.786 -35.786
1C-1 0.0993 0.1388 -133.091 133.091 -133.091 133.091 0 0 0 0
2C 0.0626 0.1388 0 0 0 0 -83.946 83.946 -83.946 83.946
4A* 2.586 0.1388 0 0 0 0 -96.813 -96.813 96.813 96.813
2A 0.047 0.1388 0 0 0 0 -442.16 442.16 442.16 -442.16
4B* 1.5463 0.1388 -57.863 -57.863 57.863 57.863 0 0 0 0
2B-1 0.0563 0.1388 -529.622 529.622 529.622 -529.622 0 0 0 0
Pressure stress* 354.628 354.628 354.628 354.628 290.86 290.86 290.86 290.86
Total longitudinal stress -394.211 931.215 780.758 -12.304 -367.846 684.367 710.1 -6.328
Primary membrane longitudinal stress* 268.502 268.502 384.227 384.227 158.261 158.261 351.886 351.886
Shear from Mt 46.473 46.473 46.473 46.473 46.473 46.473 46.473 46.473
Circ shear from Vc 7.593 7.593 -7.593 -7.593 0 0 0 0
Long shear from VL 0 0 0 0 -7.593 -7.593 7.593 7.593
Total Shear stress 54.066 54.066 38.88 38.88 38.88 38.88 54.066 54.066
Combined stress (PL+Pb+Q) -402.788 951.041 993.647 473.728 -393.226 1,579.866 1,439.604 119.1
Note: * denotes primary stress.
V-8601 230
Longitudinal stress in the nozzle wall due to internal pressure + external loads σn (Pm) = P*Ri / (2*tn) - Pr / (π*(Ro
2 - Ri2)) + M*Ro / I
= 6.25*1.02*150.45 / (2*9) - 1,286.94 / (π*(159.452 - 150.452))*100 + 1,781,902.4*159.45 / 1.0527E+08*100 = 308.508 kgf/cm2 The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤ S = 1,203.264 kgf/cm2) Shear stress in the nozzle wall due to external loads σshear = (VL
2 + Vc2)0.5 / (π*Ri*tn)*100
= (9102 + 9102)0.5 / (π*150.45*9)*100 = 30.254 kgf/cm2 σtorsion = Mt / (2*π*Ri
2*tn)*100000 = 1,781.9 / (2*π*150.452*9)*100000 = 139.221 kgf/cm2 σtotal = σshear + σtorsion = 30.254 + 139.221 = 169.475 kgf/cm2 UG-45: The total combined shear stress (169.475 kgf/cm2) is below than the allowable (0.7*Sn = 0.7*1,203.264 = 842.285 kgf/cm2) % Extreme fiber elongation - UCS-79(d) EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*15 / 151.95)*(1 - 151.95 / ?) = 4.936%
The extreme fiber elongation does not exceed 5%. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 15.71 bar @ 25 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
38.5873 38.5897 4.7464 9.7968 -- 21.1665 2.88 8.33 15
UG-41 Weld Failure Path Analysis Summary (kgf) All failure paths are stronger than the applicable weld loads
Weld load W
Weld load W1-1
Path 1-1strength
Weld load W2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
41,313 40,722 111,433 18,935 169,246 46,137 118,026
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 7.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 10.5 15 weld size is adequate
V-8601 231
Calculations for internal pressure 15.71 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(288.89, 144.45 + (15 - 0) + (15 - 0))= 288.89 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(15 - 0) + 15) = 37.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 15.7139*144.45 / (1,180*1 - 0.6*15.7139)= 1.94 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 15.7139*995 / (1,180*1 - 0.6*15.7139) = 13.36 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |15.7139*995 / (2*1,180*1.2 + 0.4*15.7139) - 0.6*13,573.72 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 14,927.2 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.75 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |15.7139*995 / (2*1,180*1.2 + 0.4*15.7139) - 13,573.72 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 14,927.2 /
(π*1,002.52*1,180*1.2) * 98066.5| = 5.03 mm
Area required per UG-37(c) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (288.89*13.36*1 + 2*15*13.36*1*(1 - 1)) / 100= 38.5873 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 4.7464 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (288.89*(1*15 - 1*13.36) - 2*15*(1*15 - 1*13.36)*(1 - 1)) / 100= 4.7464 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(15 + 15)*(1*15 - 1*13.36) - 2*15*(1*15 - 1*13.36)*(1 - 1)) / 100= 0.9858 cm2
V-8601 232
A2 = smaller of the following= 9.7968 cm2
= 5*(tn - trn)*fr2*t = (5*(15 - 1.94)*1*15) / 100 = 9.7968 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(15 - 1.94)*(2.5*15 + 15)*1) / 100 = 13.7148 cm2
A41 = Leg2*fr3
= (122*1) / 100 = 1.44 cm2
A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((460 - 288.89 - 2*15)*15*1) / 100 = 21.1665 cm2
Area = A1 + A2 + A41 + A42 + A5
= 4.7464 + 9.7968 + 1.44 + 1.44 + 21.1665= 38.5897 cm2
As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 15 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 15 mm
tw(min) = 0.5*tmin = 7.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 15.7139*144.45 / (1,180*1 - 0.6*15.7139) + 0= 1.94 mm
ta UG-22 = 2.84 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 1.94 , 2.84 ] = 2.84 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 15.7139*995 / (1,180*1 - 0.6*15.7139) + 0= 13.36 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 13.36 , 1.5 ] = 13.36 mm
V-8601 233
tb = min[ tb3 , tb1 ]
= min[ 8.33 , 13.36 ] = 8.33 mm
tUG-45 = max[ ta , tb ]
= max[ 2.84 , 8.33 ] = 8.33 mm
Available nozzle wall thickness new, tn = 15 mm The nozzle neck thickness is adequate. Allowable stresses in joints UG-45 and UW-15(c) Groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Nozzle wall in shear: 0.7*1,203.264 = 842.285 kgf/cm2
Inner fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Outer fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Upper groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Strength of welded joints: (1) Inner fillet weld in shear (π / 2)*Nozzle OD*Leg*Si = (π / 2)*318.89*12*589.599 = 35,440.47 kgf (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*460*12*589.599 = 51,123.01 kgf (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*303.89*15*842.285 = 60,309.67 kgf (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*318.89*15*890.415 = 66,902.93 kgf (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*318.89*15*890.415 = 66,902.93 kgf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (3,858.732 - 474.6442 + 2*15*1*(1*15 - 1*13.36))*1,203.264= 41,312.61 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (979.6755 + 2,116.65 + 143.9997 + 143.9997)*1,203.264= 40,722.4 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (979.6755 + 0 + 143.9997 + 0 + 2*15*15*1)*1,203.264= 18,935.49 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (979.6755 + 0 + 2,116.65 + 143.9997 + 143.9997 + 0 + 2*15*15*1)*1,203.264= 46,137.1 kgf
V-8601 234
Load for path 1-1 lesser of W or W1-1 = 40,722.4 kgf Path 1-1 through (2) & (3) = 51,123.01 + 60,309.67 = 111,432.68 kgf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 18,935.49 kgf Path 2-2 through (1), (4), (6) = 35,440.47 + 66,902.93 + 66,902.93 = 169,246.33 kgf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 41,312.61 kgf Path 3-3 through (2), (4) = 51,123.01 + 66,902.93 = 118,025.94 kgf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
13.5408 27.3865 -- 3.5426 -- 21.1665 2.6774 8.09 15
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 4.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 6.3 15 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(300.89, 150.45 + (15 - 6) + (15 - 6))= 300.89 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(15 - 6) + 15) = 22.5 mm
Nozzle required thickness per UG-28 trn = 1.13 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*11,910.51 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 5,708.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.59 mm
V-8601 235
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 11,910.51 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 5,708.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1 mm
Area required per UG-37(d)(1) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= (0.5*(300.89*9*1 + 2*9*9*1*(1 - 1))) / 100= 13.5408 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (300.89*(1*9 - 1*9) - 2*9*(1*9 - 1*9)*(1 - 1)) / 100= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(9 + 9)*(1*9 - 1*9) - 2*9*(1*9 - 1*9)*(1 - 1)) / 100= 0 cm2
A2 = smaller of the following= 3.5426 cm2
= 5*(tn - trn)*fr2*t = (5*(9 - 1.13)*1*9) / 100 = 3.5426 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(9 - 1.13)*(2.5*9 + 15)*1) / 100 = 5.9032 cm2
A41 = Leg2*fr3
= (11.122*1) / 100 = 1.2374 cm2
(Part of the weld is outside of the limits) A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((460 - 300.89 - 2*9)*15*1) / 100 = 21.1665 cm2
V-8601 236
Area = A1 + A2 + A41 + A42 + A5
= 0 + 3.5426 + 1.2374 + 1.44 + 21.1665 = 27.3865 cm2
As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 9 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 9 mm
tw(min) = 0.5*tmin = 4.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-28 = 8.09 mm ta UG-22 = 8.09 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 7.13 , 8.09 ] = 8.09 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 14.33 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 8.09 , 7.5 ] = 8.09 mm
Available nozzle wall thickness new, tn = 15 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 307.66 / 318.89 = 0.9648 Do / t = 318.89 / 1.13 = 282.5223From table G: A = 0.000293 From table CS-2 Metric: B = 295.9459 kg/cm2 (290.22 bar)Pa = 4*B / (3*(Do / t))
= 4*290.22 / (3*(318.89 / 1.13)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 1.13 + 6 = 7.13 mm
V-8601 237
Acid Gas Outlet (N2) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 12.75 mm Leg41 = 12 mm tw(upper) = 15 mm Leg42 = 12 mm Dp = 460 mm te = 15 mm
Note: round inside edges per UG-76(c) Located on: Top Head Liquid static head included: 0.03 bar
Nozzle material specification: SA-516 60 (II-D Metric p. 10, ln. 27) (normalized)
Nozzle longitudinal joint efficiency: 1
Pad material specification: SA-516 60 (II-D Metric p. 10, ln. 27) (normalized)
Pad diameter: 460 mmFlange description: NPS 12 Class 150 WN A105 Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32) Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.2906) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0 bar ASME B16.5-2003 flange rating MAWP: 15.8 bar @ 150°C ASME B16.5-2003 flange rating MAP: 19.6 bar @ 25°C ASME B16.5-2003 flange hydro test: 30 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 0° Calculated as hillside: No Local vessel minimum thickness: 12.75 mm End of nozzle to datum line: 7,308 mm Nozzle inside diameter, new: 288.89 mm Nozzle nominal wall thickness: 15 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 189.88 mm Projection available outside vessel to flange face, Lf: 304.18 mm Distance to head center, R: 0 mm Pad is split: No
V-8601 238
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 8.89 bar @ 150 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
20.3102 25.6762 0.0013 2.6535 -- 21.1665 1.8548 13.48 15
UG-41 Weld Failure Path Analysis Summary (kgf) All failure paths are stronger than the applicable weld loads
Weld load W
Weld load W1-1
Path 1-1strength
Weld load W2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
24,437 30,894 88,023 5,154 132,452 32,356 81,232
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 3.38 8.4 weld size is adequate
Nozzle to pad groove (Upper) 6.3 15 weld size is adequate
Calculations for internal pressure 8.89 bar @ 150 °C Nozzle impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 19.9 °C, (coincident ratio = 0.6439) Rated MDMT of -82.03°C is limited to -48°C by UCS-66(b)(2). Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 19.9 °C, (coincident ratio = 0.6439) Rated MDMT of -82.03°C is limited to -48°C by UCS-66(b)(2). Nozzle UCS-66 governing thk: 15 mm Nozzle rated MDMT: -48 °C Pad UCS-66 governing thickness: 15 mm Pad rated MDMT: -48 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(300.89, 150.45 + (15 - 6) + (12.75 - 6))= 300.89 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(12.75 - 6), 2.5*(15 - 6) + 15) = 16.88 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 8.8879*150.45 / (1,180*1 - 0.6*8.8879) = 1.14 mm
V-8601 239
Required thickness tr from UG-37(a)(c) tr = P*K1*D / (2*S*E - 0.2*P)
= 8.8879*0.8946*2,002 / (2*1,180*1 - 0.2*8.8879)= 6.75 mm
Area required per UG-37(c) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (300.89*6.75*1 + 2*9*6.75*1*(1 - 1)) / 100= 20.3102 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 0.0013 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (300.89*(1*6.75 - 1*6.75) - 2*9*(1*6.75 - 1*6.75)*(1 - 1)) / 100= 0.0013 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(6.75 + 9)*(1*6.75 - 1*6.75) - 2*9*(1*6.75 - 1*6.75)*(1 - 1)) / 100= 0 cm2
A2 = smaller of the following= 2.6535 cm2
= 5*(tn - trn)*fr2*t = (5*(9 - 1.14)*1*6.75) / 100 = 2.6535 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(9 - 1.14)*(2.5*9 + 15)*1) / 100 = 5.8968 cm2
A41 = Leg2*fr3
= (6.442*1) / 100 = 0.4148 cm2
(Part of the weld is outside of the limits) A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((460 - 300.89 - 2*9)*15*1) / 100 = 21.1665 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0.0013 + 2.6535 + 0.4148 + 1.44 + 21.1665= 25.6762 cm2
As Area >= A the reinforcement is adequate.
V-8601 240
UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 9 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 6.75 mm
tw(min) = 0.5*tmin = 3.38 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 8.8879*150.45 / (1,180*1 - 0.6*8.8879) + 6= 7.14 mm
ta UG-22 = 8.38 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 7.14 , 8.38 ] = 8.38 mm
tb1 = 13.48 mm tb1 = max[ tb1 , tb UG16 ]
= max[ 13.48 , 7.5 ] = 13.48 mm
tb = min[ tb3 , tb1 ]
= min[ 14.33 , 13.48 ] = 13.48 mm
tUG-45 = max[ ta , tb ]
= max[ 8.38 , 13.48 ] = 13.48 mm
Available nozzle wall thickness new, tn = 15 mm The nozzle neck thickness is adequate. Allowable stresses in joints UG-45 and UW-15(c) Groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Nozzle wall in shear: 0.7*1,203.264 = 842.285 kgf/cm2
Inner fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Outer fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Upper groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
V-8601 241
Strength of welded joints: (1) Inner fillet weld in shear (π / 2)*Nozzle OD*Leg*Si = (π / 2)*318.89*12*589.599 = 35,440.47 kgf (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*460*12*589.599 = 51,123.01 kgf (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*309.89*9*842.285 = 36,900.25 kgf (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*318.89*6.75*890.415 = 30,108.64 kgf (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*318.89*15*890.415 = 66,902.93 kgf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (2,031.0225 - 0.129 + 2*9*1*(1*6.75 - 1*6.75))*1,203.264= 24,437.14 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (265.3543 + 2,116.65 + 41.4838 + 143.9997)*1,203.264= 30,893.69 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (265.3543 + 0 + 41.4838 + 0 + 2*9*6.75*1)*1,203.264= 5,154.16 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (265.3543 + 0 + 2,116.65 + 41.4838 + 143.9997 + 0 + 2*9*6.75*1)*1,203.264= 32,355.77 kgf
Load for path 1-1 lesser of W or W1-1 = 24,437.14 kgf Path 1-1 through (2) & (3) = 51,123.01 + 36,900.25 = 88,023.26 kgf Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2). Load for path 2-2 lesser of W or W2-2 = 5,154.16 kgf Path 2-2 through (1), (4), (6) = 35,440.47 + 30,108.64 + 66,902.93 = 132,452.03 kgf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 24,437.14 kgf Path 3-3 through (2), (4) = 51,123.01 + 30,108.64 = 81,231.64 kgf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Applied Loads Radial load: Pr = 1,286.9 kgf Circumferential moment: M1 = 1,260 kgf-m Circumferential shear: V2 = 910 kgf Longitudinal moment: M2 = 1,260 kgf-m Longitudinal shear: V1 = 910 kgf Torsion moment: Mt = 1,781.9 kgf-m Internal pressure: P = 8.89 bar Head yield stress: Sy = 1,988.45 kgf/cm2
V-8601 242
Maximum stresses due to the applied loads at the pad edge (includes pressure) Mean dish radius Rm = 1,809.33 mm U = ro / Sqr(Rm*t) = 2.081 Pressure stress intensity factor, I = 1 (derived from PVP-Vol. 399, pages 77-82) Local pressure stress = I*P*Ri / (2*t) =1,212.302 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 3,315.6 kgf/cm2 Allowable combined stress (PL+Pb+Q ) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 1,634.07 kgf/cm2 Allowable local primary membrane stress (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The local maximum primary membrane stress (PL) is within allowable limits.
Stresses at the pad edge per WRC Bulletin 107
Figure value Au Al Bu Bl Cu Cl Du Dl
SR-2* 0.0234 -66.088 -66.088 -66.088 -66.088 -66.088 -66.088 -66.088 -66.088
SR-2 0.011 -186.384 186.384 -186.384 186.384 -186.384 186.384 -186.384 186.384
SR-3* 0.0195 0 0 0 0 -487.86 -487.86 487.86 487.86
SR-3 0.0124 0 0 0 0 -1,861.375 1,861.375 1,861.375 -1,861.375
SR-3* 0.0195 -487.86 -487.86 487.86 487.86 0 0 0 0
SR-3 0.0124 -1,861.375 1,861.375 1,861.375 -1,861.375 0 0 0 0
Pressure stress* 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302
Total Ox stress -1,389.405 2,706.113 3,309.065 -40.919 -1,389.405 2,706.113 3,309.065 -40.919
Membrane Ox stress* 658.354 658.354 1,634.073 1,634.073 658.354 658.354 1,634.073 1,634.073
SR-2* 0.0071 -20.037 -20.037 -20.037 -20.037 -20.037 -20.037 -20.037 -20.037
SR-2 0.0033 -55.894 55.894 -55.894 55.894 -55.894 55.894 -55.894 55.894
SR-3* 0.0058 0 0 0 0 -145.113 -145.113 145.113 145.113
SR-3 0.0037 0 0 0 0 -555.425 555.425 555.425 -555.425
SR-3* 0.0058 -145.113 -145.113 145.113 145.113 0 0 0 0
SR-3 0.0037 -555.425 555.425 555.425 -555.425 0 0 0 0
Pressure stress* 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302
Total Oy stress 435.832 1,658.469 1,836.908 837.847 435.832 1,658.469 1,836.908 837.847
Membrane Oy stress* 1,047.151 1,047.151 1,337.378 1,337.378 1,047.151 1,047.151 1,337.378 1,337.378
Shear from Mt 79.447 79.447 79.447 79.447 79.447 79.447 79.447 79.447
Shear from V1 0 0 0 0 -18.631 -18.631 18.631 18.631
Shear from V2 18.631 18.631 -18.631 -18.631 0 0 0 0
Total Shear stress 98.078 98.078 60.815 60.815 60.815 60.815 98.078 98.078
Combined stress(PL+Pb+Q) 1,835.713 2,715.182 3,311.596 887.132 1,829.315 2,709.628 3,315.603 900.42
Notes: (1) * denotes primary stress.
(2) The nozzle is assumed to be a rigid (solid) attachment.
V-8601 243
Maximum stresses due to the applied loads at the nozzle OD (includes pressure) Mean dish radius Rm = 1,809.33 mm U = ro / Sqr(Rm*t) = 0.804 Pressure stress intensity factor, I = 0.31991 (derived from PVP-Vol. 399, pages 77-82) Local pressure stress = I*P*Ri / (2*t) =387.813 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 1,376.68 kgf/cm2 Allowable combined stress (PL+Pb+Q ) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 500.23 kgf/cm2 Allowable local primary membrane stress (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The local maximum primary membrane stress (PL) is within allowable limits.
Stresses at the nozzle OD per WRC Bulletin 107
Figure value Au Al Bu Bl Cu Cl Du Dl
SR-2* 0.0871 -23.693 -23.693 -23.693 -23.693 -23.693 -23.693 -23.693 -23.693
SR-2 0.049 -80.009 80.009 -80.009 80.009 -80.009 80.009 -80.009 80.009
SR-3* 0.1014 0 0 0 0 -136.114 -136.114 136.114 136.114
SR-3 0.1181 0 0 0 0 -951.323 951.323 951.323 -951.323
SR-3* 0.1014 -136.114 -136.114 136.114 136.114 0 0 0 0
SR-3 0.1181 -951.323 951.323 951.323 -951.323 0 0 0 0
Pressure stress* 387.813 387.813 387.813 387.813 387.813 387.813 387.813 387.813
Total Ox stress -803.327 1,259.337 1,371.547 -371.08 -803.327 1,259.337 1,371.547 -371.08
Membrane Ox stress* 228.005 228.005 500.234 500.234 228.005 228.005 500.234 500.234
SR-2* 0.0265 -7.242 -7.242 -7.242 -7.242 -7.242 -7.242 -7.242 -7.242
SR-2 0.0149 -24.326 24.326 -24.326 24.326 -24.326 24.326 -24.326 24.326
SR-3* 0.0305 0 0 0 0 -40.919 -40.919 40.919 40.919
SR-3 0.0359 0 0 0 0 -289.172 289.172 289.172 -289.172
SR-3* 0.0305 -40.919 -40.919 40.919 40.919 0 0 0 0
SR-3 0.0359 -289.172 289.172 289.172 -289.172 0 0 0 0
Pressure stress* 387.813 387.813 387.813 387.813 387.813 387.813 387.813 387.813
Total Oy stress 26.154 653.151 686.336 156.644 26.154 653.151 686.336 156.644
Membrane Oy stress* 339.653 339.653 421.49 421.49 339.653 339.653 421.49 421.49
Shear from Mt 51.254 51.254 51.254 51.254 51.254 51.254 51.254 51.254
Shear from V1 0 0 0 0 -8.367 -8.367 8.367 8.367
Shear from V2 8.367 8.367 -8.367 -8.367 0 0 0 0
Total Shear stress 59.62 59.62 42.887 42.887 42.887 42.887 59.62 59.62
Combined stress(PL+Pb+Q) 837.988 1,265.173 1,374.219 534.684 833.91 1,262.36 1,376.679 541.012
Notes: (1) * denotes primary stress.
(2) The nozzle is assumed to be a rigid (solid) attachment.
V-8601 244
Longitudinal stress in the nozzle wall due to internal pressure + external loads σn (Pm) = P*Ri / (2*tn) - Pr / (π*(Ro
2 - Ri2)) + M*Ro / I
= 8.89*1.02*150.45 / (2*9) - 1,286.9 / (π*(159.452 - 150.452))*100 + 1,781,902.4*159.45 / 1.0527E+08*100 = 330.964 kgf/cm2 The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤ S = 1,203.264 kgf/cm2) Shear stress in the nozzle wall due to external loads σshear = (VL
2 + Vc2)0.5 / (π*Ri*tn)*100
= (9102 + 9102)0.5 / (π*150.45*9)*100 = 30.254 kgf/cm2 σtorsion = Mt / (2*π*Ri
2*tn)*100000 = 1,781.9 / (2*π*150.452*9)*100000 = 139.221 kgf/cm2 σtotal = σshear + σtorsion = 30.254 + 139.221 = 169.475 kgf/cm2 UG-45: The total combined shear stress (169.475 kgf/cm2) is below than the allowable (0.7*Sn = 0.7*1,203.264 = 842.285 kgf/cm2) % Extreme fiber elongation - UCS-79(d) EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*15 / 151.95)*(1 - 151.95 / ?) = 4.936%
The extreme fiber elongation does not exceed 5%. Reinforcement Calculations for MAP Available reinforcement per UG-37 governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 15.76 bar @ 25 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
34.6 34.602 2.2335 8.3219 -- 21.1665 2.88 8.33 15
UG-41 Weld Failure Path Analysis Summary (kgf) All failure paths are stronger than the applicable weld loads
Weld load W
Weld load W1-1
Path 1-1strength
Weld load W2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
39,224 38,948 111,433 16,349 159,211 43,550 107,990
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 6.38 8.4 weld size is adequate
Nozzle to pad groove (Upper) 10.5 15 weld size is adequate
V-8601 245
Calculations for internal pressure 15.76 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(288.89, 144.45 + (15 - 0) + (12.75 - 0))= 288.89 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(12.75 - 0), 2.5*(15 - 0) + 15) = 31.88 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 15.761*144.45 / (1,180*1 - 0.6*15.761) = 1.95 mm
Required thickness tr from UG-37(a)(c) tr = P*K1*D / (2*S*E - 0.2*P)
= 15.761*0.9*1,990 / (2*1,180*1 - 0.2*15.761)= 11.98 mm
Area required per UG-37(c) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (288.89*11.98*1 + 2*15*11.98*1*(1 - 1)) / 100= 34.6 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 2.2335 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (288.89*(1*12.75 - 1*11.98) - 2*15*(1*12.75 - 1*11.98)*(1 - 1)) / 100= 2.2335 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(12.75 + 15)*(1*12.75 - 1*11.98) - 2*15*(1*12.75 - 1*11.98)*(1 - 1)) / 100= 0.429 cm2
A2 = smaller of the following= 8.3219 cm2
= 5*(tn - trn)*fr2*t = (5*(15 - 1.95)*1*12.75) / 100 = 8.3219 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(15 - 1.95)*(2.5*15 + 15)*1) / 100 = 13.7071 cm2
A41 = Leg2*fr3
= (122*1) / 100 = 1.44 cm2
V-8601 246
A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((460 - 288.89 - 2*15)*15*1) / 100 = 21.1665 cm2
Area = A1 + A2 + A41 + A42 + A5
= 2.2335 + 8.3219 + 1.44 + 1.44 + 21.1665= 34.602 cm2
As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 15 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 12.75 mm
tw(min) = 0.5*tmin = 6.38 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 15.761*144.45 / (1,180*1 - 0.6*15.761) + 0= 1.95 mm
ta UG-22 = 2.84 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 1.95 , 2.84 ] = 2.84 mm
tb1 = 13.31 mm tb1 = max[ tb1 , tb UG16 ]
= max[ 13.31 , 1.5 ] = 13.31 mm
tb = min[ tb3 , tb1 ]
= min[ 8.33 , 13.31 ] = 8.33 mm
tUG-45 = max[ ta , tb ]
= max[ 2.84 , 8.33 ] = 8.33 mm
Available nozzle wall thickness new, tn = 15 mm The nozzle neck thickness is adequate.
V-8601 247
Allowable stresses in joints UG-45 and UW-15(c) Groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Nozzle wall in shear: 0.7*1,203.264 = 842.285 kgf/cm2
Inner fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Outer fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Upper groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Strength of welded joints: (1) Inner fillet weld in shear (π / 2)*Nozzle OD*Leg*Si = (π / 2)*318.89*12*589.599 = 35,440.47 kgf (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*460*12*589.599 = 51,123.01 kgf (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*303.89*15*842.285 = 60,309.67 kgf (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*318.89*12.75*890.415 = 56,867.49 kgf (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*318.89*15*890.415 = 66,902.93 kgf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (3,459.9957 - 223.3544 + 2*15*1*(1*12.75 - 1*11.98))*1,203.264= 39,224.47 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (832.1919 + 2,116.65 + 143.9997 + 143.9997)*1,203.264= 38,947.79 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (832.1919 + 0 + 143.9997 + 0 + 2*15*12.75*1)*1,203.264= 16,348.66 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (832.1919 + 0 + 2,116.65 + 143.9997 + 143.9997 + 0 + 2*15*12.75*1)*1,203.264= 43,550.28 kgf
Load for path 1-1 lesser of W or W1-1 = 38,947.79 kgf Path 1-1 through (2) & (3) = 51,123.01 + 60,309.67 = 111,432.68 kgf Path 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1). Load for path 2-2 lesser of W or W2-2 = 16,348.66 kgf Path 2-2 through (1), (4), (6) = 35,440.47 + 56,867.49 + 66,902.93 = 159,210.89 kgf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 39,224.47 kgf Path 3-3 through (2), (4) = 51,123.01 + 56,867.49 = 107,990.49 kgf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
V-8601 248
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
8.9571 28.0775 2.3974 2.6587 -- 21.1665 1.8548 8.09 15
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 3.38 8.4 weld size is adequate
Nozzle to pad groove (Upper) 6.3 15 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(300.89, 150.45 + (15 - 6) + (12.75 - 6))= 300.89 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(12.75 - 6), 2.5*(15 - 6) + 15) = 16.88 mm
Nozzle required thickness per UG-28 trn = 1.12 mm From UG-37(d)(1) required thickness tr = 5.95 mm Area required per UG-37(d)(1) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= (0.5*(300.89*5.95*1 + 2*9*5.95*1*(1 - 1))) / 100= 8.9571 cm2
V-8601 249
Area available from FIG. UG-37.1 A1 = larger of the following= 2.3974 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (300.89*(1*6.75 - 1*5.95) - 2*9*(1*6.75 - 1*5.95)*(1 - 1)) / 100= 2.3974 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(6.75 + 9)*(1*6.75 - 1*5.95) - 2*9*(1*6.75 - 1*5.95)*(1 - 1)) / 100= 0.251 cm2
A2 = smaller of the following= 2.6587 cm2
= 5*(tn - trn)*fr2*t = (5*(9 - 1.12)*1*6.75) / 100 = 2.6587 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(9 - 1.12)*(2.5*9 + 15)*1) / 100 = 5.9071 cm2
A41 = Leg2*fr3
= (6.442*1) / 100 = 0.4148 cm2
(Part of the weld is outside of the limits) A42 = Leg2*fr4
= (122*1) / 100 = 1.44 cm2
A5 = (Dp - d - 2*tn)*te*fr4
= ((460 - 300.89 - 2*9)*15*1) / 100 = 21.1665 cm2
Area = A1 + A2 + A41 + A42 + A5
= 2.3974 + 2.6587 + 0.4148 + 1.44 + 21.1665= 28.0775 cm2
As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 9 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 6.75 mm
tw(min) = 0.5*tmin = 3.38 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
V-8601 250
UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. ta UG-28 = 8.09 mm ta UG-22 = 8.09 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 7.12 , 8.09 ] = 8.09 mm
tb2 = 7.15 mm tb2 = max[ tb2 , tb UG16 ]
= max[ 7.15 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 14.33 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 8.09 , 7.5 ] = 8.09 mm
Available nozzle wall thickness new, tn = 15 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 304.18 / 318.89 = 0.9539 Do / t = 318.89 / 1.12 = 283.8056From table G: A = 0.000294 From table CS-2 Metric: B = 297.2931 kg/cm2 (291.54 bar)Pa = 4*B / (3*(Do / t))
= 4*291.54 / (3*(318.89 / 1.12)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 1.12 + 6 = 7.12 mm
V-8601 251
Vent (N3) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 12.75 mm Leg41 = 12 mm
Note: round inside edges per UG-76(c) Located on: Top Head Liquid static head included: 0.0352 bar
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) (normalized)
Nozzle longitudinal joint efficiency: 1 Nozzle description: NPS 2 XX Heavy DN 50Flange description: NPS 2 Class 150 WN A105 Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32) Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.2906) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0 bar ASME B16.5-2003 flange rating MAWP: 15.8 bar @ 150°C ASME B16.5-2003 flange rating MAP: 19.6 bar @ 25°C ASME B16.5-2003 flange hydro test: 30 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 90° Calculated as hillside: Yes Local vessel minimum thickness: 12.75 mm End of nozzle to datum line: 7,308 mm Nozzle inside diameter, new: 38.18 mm Nozzle nominal wall thickness: 11.07 mm Nozzle corrosion allowance: 6 mm Opening chord length: 51.76 mm Projection available outside vessel, Lpr: 280.64 mm Projection available outside vessel to flange face, Lf: 344.14 mm Distance to head center, R: 450 mm
V-8601 252
Reinforcement Calculations for Internal Pressure Local stresses at the nozzle OD per WRC-107 govern the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 7.52 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.42 9.69
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.55 8.4 weld size is adequate
Calculations for internal pressure 7.52 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2298). External nozzle loadings per UG-22 govern the coincident ratio used. Nozzle UCS-66 governing thk: 9.69 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(51.76, 25.88 + (11.07 - 6) + (12.75 - 6))= 51.76 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(12.75 - 6), 2.5*(11.07 - 6) + 0)= 12.69 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 7.516*25.09 / (1,180*1 - 0.6*7.516) = 0.16 mm
Required thickness tr from UG-37(a)(c) tr = P*K1*D / (2*S*E - 0.2*P)
= 7.516*0.8946*2,002 / (2*1,180*1 - 0.2*7.516)= 5.71 mm
V-8601 253
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.55 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 7.516*25.09 / (1,180*1 - 0.6*7.516) + 6= 6.16 mm
ta UG-22 = 6.89 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.16 , 6.89 ] = 6.89 mm
tb1 = 12.33 mm tb1 = max[ tb1 , tb UG16 ]
= max[ 12.33 , 7.5 ] = 12.33 mm
tb = min[ tb3 , tb1 ]
= min[ 9.42 , 12.33 ] = 9.42 mm
tUG-45 = max[ ta , tb ]
= max[ 6.89 , 9.42 ] = 9.42 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate. Applied Loads Radial load: Pr = 149.9 kgf Circumferential moment: M1 = 38.75 kgf-m Circumferential shear: V2 = 106.05 kgf Longitudinal moment: M2 = 38.75 kgf-m Longitudinal shear: V1 = 106.05 kgf Torsion moment: Mt = 55.06 kgf-m Internal pressure: P = 7.52 bar Head yield stress: Sy = 1,988.45 kgf/cm2
V-8601 254
Maximum stresses due to the applied loads at the nozzle OD (includes pressure) Mean dish radius Rm = 1,809.33 mm U = ro / Sqr(Rm*t) = 0.273 Pressure stress intensity factor, I = 1 (derived from PVP-Vol. 399, pages 77-82) Local pressure stress = I*P*Ri / (2*t) =1,025.215 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 3,609.77 kgf/cm2 Allowable combined stress (PL+Pb+Q ) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 1,086.94 kgf/cm2 Allowable local primary membrane stress (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The local maximum primary membrane stress (PL) is within allowable limits.
Stresses at the nozzle OD per WRC Bulletin 107
Figure value Au Al Bu Bl Cu Cl Du Dl
SR-2* 0.1981 -65.175 -65.175 -65.175 -65.175 -65.175 -65.175 -65.175 -65.175
SR-2 0.1508 -297.609 297.609 -297.609 297.609 -297.609 297.609 -297.609 297.609
SR-3* 0.1649 0 0 0 0 -126.904 -126.904 126.904 126.904
SR-3 0.534 0 0 0 0 -2,465.171 2,465.171 2,465.171 -2,465.171
SR-3* 0.1649 -126.904 -126.904 126.904 126.904 0 0 0 0
SR-3 0.534 -2,465.171 2,465.171 2,465.171 -2,465.171 0 0 0 0
Pressure stress* 1,025.215 1,025.215 1,025.215 1,025.215 1,025.215 1,025.215 1,025.215 1,025.215
Total Ox stress -1,929.643 3,595.917 3,254.506 -1,080.617 -1,929.643 3,595.917 3,254.506 -1,080.617
Membrane Ox stress* 833.137 833.137 1,086.945 1,086.945 833.137 833.137 1,086.945 1,086.945
SR-2* 0.06 -19.756 -19.756 -19.756 -19.756 -19.756 -19.756 -19.756 -19.756
SR-2 0.0452 -89.219 89.219 -89.219 89.219 -89.219 89.219 -89.219 89.219
SR-3* 0.0502 0 0 0 0 -38.598 -38.598 38.598 38.598
SR-3 0.1562 0 0 0 0 -721.068 721.068 721.068 -721.068
SR-3* 0.0502 -38.598 -38.598 38.598 38.598 0 0 0 0
SR-3 0.1562 -721.068 721.068 721.068 -721.068 0 0 0 0
Pressure stress* 1,025.215 1,025.215 1,025.215 1,025.215 1,025.215 1,025.215 1,025.215 1,025.215
Total Oy stress 156.573 1,777.148 1,675.906 412.209 156.573 1,777.148 1,675.906 412.209
Membrane Oy stress* 966.86 966.86 1,044.057 1,044.057 966.86 966.86 1,044.057 1,044.057
Shear from Mt 142.723 142.723 142.723 142.723 142.723 142.723 142.723 142.723
Shear from V1 0 0 0 0 -16.592 -16.592 16.592 16.592
Shear from V2 16.592 16.592 -16.592 -16.592 0 0 0 0
Total Shear stress 159.315 159.315 126.131 126.131 126.131 126.131 159.315 159.315
Combined stress(PL+Pb+Q) 2,110.402 3,609.767 3,264.49 1,513.989 2,101.403 3,604.635 3,270.396 1,526.433
Notes: (1) * denotes primary stress.
(2) The nozzle is assumed to be a rigid (solid) attachment.
V-8601 255
Longitudinal stress in the nozzle wall due to internal pressure + external loads (hot shut down condition governs) σn (Pm) = ABS(Pr / (π*(Ro
2 - Ri2))) + M*Ro / I
= ABS(149.9 / (π*(30.162 - 25.092))*100) + 54,799.4*30.16 / 338,924.9*100 = 504.706 kgf/cm2 The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤ S = 1,203.264 kgf/cm2) Longitudinal stress in the nozzle wall due to external pressure + external loads σn (Pm) = ABS(P*Ri / (2*tn) - Pr / (π*(Ro
2 - Ri2)) - M*Ro / I)
= ABS(-1.03*1.02*25.09 / (2*3.69) - 149.9 / (π*(30.162 - 25.092)) - 54,799.4*30.16 / 338,924.9) = 508.291 kgf/cm2 The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to external pressure + external loads is acceptable ( ≤ S = 1,203.264 kgf/cm2) Shear stress in the nozzle wall due to external loads σshear = (VL
2 + Vc2)0.5 / (π*Ri*tn)*100
= (106.052 + 106.052)0.5 / (π*25.09*5.07)*100 = 37.499 kgf/cm2 σtorsion = Mt / (2*π*Ri
2*tn)*100000 = 55.1 / (2*π*25.092*5.07)*100000 = 274.393 kgf/cm2 σtotal = σshear + σtorsion = 37.499 + 274.393 = 311.892 kgf/cm2 UG-45: The total combined shear stress (311.892 kgf/cm2) is below than the allowable (0.7*Sn = 0.7*1,203.264 = 842.285 kgf/cm2) Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 16.78 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.42 9.69
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 8.4 weld size is adequate
V-8601 256
Calculations for internal pressure 16.78 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(39.38, 19.69 + (11.07 - 0) + (12.75 - 0))= 43.52 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(12.75 - 0), 2.5*(11.07 - 0) + 0)= 27.69 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 16.7763*19.09 / (1,180*1 - 0.6*16.7763)= 0.27 mm
Required thickness tr from UG-37(a)(c) tr = P*K1*D / (2*S*E - 0.2*P)
= 16.7763*0.9*1,990 / (2*1,180*1 - 0.2*16.7763)= 12.75 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 16.7763*19.09 / (1,180*1 - 0.6*16.7763) + 0= 0.27 mm
ta UG-22 = 1.68 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.27 , 1.68 ] = 1.68 mm
tb1 = 14.17 mm tb1 = max[ tb1 , tb UG16 ]
= max[ 14.17 , 1.5 ] = 14.17 mm
tb = min[ tb3 , tb1 ]
= min[ 3.42 , 14.17 ] = 3.42 mm
tUG-45 = max[ ta , tb ]
= max[ 1.68 , 3.42 ] = 3.42 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate.
V-8601 257
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.69
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.55 8.4 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(51.76, 25.88 + (11.07 - 6) + (12.75 - 6))= 51.76 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(12.75 - 6), 2.5*(11.07 - 6) + 0)= 12.69 mm
Nozzle required thickness per UG-28 trn = 0.46 mm From UG-37(d)(1) required thickness tr = 5.95 mm This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.55 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. ta UG-28 = 6.87 mm ta UG-22 = 6.87 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.46 , 6.87 ] = 6.87 mm
tb2 = 7.15 mm
V-8601 258
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.15 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.42 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 6.87 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 359.39 / 60.32 = 5.9576 Do / t = 60.32 / 0.46 = 130.0449From table G: A = 0.000135 From table CS-2 Metric: B = 136.2227 kg/cm2 (133.59 bar)Pa = 4*B / (3*(Do / t))
= 4*133.59 / (3*(60.32 / 0.46)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.46 + 6 = 6.46 mm
V-8601 259
Sour Water Outlet (N4) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 12.75 mm Leg41 = 12 mm tw(upper) = 15 mm Leg42 = 12 mm Dp = 210.01 mm te = 15 mm
Note: round inside edges per UG-76(c) Located on: Bottom Head Liquid static head included: 0.7986 bar
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) (normalized)
Nozzle longitudinal joint efficiency: 1 Nozzle description: NPS 3 XX Heavy DN 80 Pad material specification: SA-516 60 (II-D Metric p. 10, ln. 27) (normalized) Pad diameter: 210.01 mmFlange description: NPS 3 Class 150 WN A105 Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32) Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.3314) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.7998 bar ASME B16.5-2003 flange rating MAWP: 15.8 bar @ 150°C ASME B16.5-2003 flange rating MAP: 19.6 bar @ 25°C ASME B16.5-2003 flange hydro test: 30 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 0° Calculated as hillside: No Local vessel minimum thickness: 12.75 mm End of nozzle to datum line: -962 mm Nozzle inside diameter, new: 58.42 mm Nozzle nominal wall thickness: 15.24 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 382.4 mm Projection available outside vessel to flange face, Lf: 452.25 mm Distance to head center, R: 0 mm Pad is split: No
V-8601 260
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 8.89 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 10.8 13.34
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 3.38 8.4 weld size is adequate
Nozzle to pad groove (Upper) 6.47 15 weld size is adequate
Calculations for internal pressure 8.89 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle impact test exemption temperature from Fig UCS-66M Curve B = -20.41 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 15.1 °C, (coincident ratio = 0.7304) Rated MDMT of -52.51°C is limited to -48°C by UCS-66(b)(2). Pad impact test exemption temperature from Fig UCS-66M Curve D = -47.21 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 15.1 °C, (coincident ratio = 0.7304) Rated MDMT of -79.31°C is limited to -48°C by UCS-66(b)(2). Nozzle UCS-66 governing thk: 13.34 mm Nozzle rated MDMT: -48 °C Pad UCS-66 governing thickness: 13.34 mm Pad rated MDMT: -48 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(70.42, 35.21 + (15.24 - 6) + (12.75 - 6))= 70.42 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(12.75 - 6), 2.5*(15.24 - 6) + 15)= 16.88 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 8.8878*35.21 / (1,180*1 - 0.6*8.8878) = 0.27 mm
V-8601 261
Required thickness tr from UG-37(a)(c) tr = P*K1*D / (2*S*E - 0.2*P)
= 8.8878*0.8946*2,002 / (2*1,180*1 - 0.2*8.8878)= 6.75 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 9.24 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 6.75 mm
tw(min) = 0.5*tmin = 3.38 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 8.889*35.21 / (1,180*1 - 0.6*8.889) + 6= 6.27 mm
ta UG-22 = 7.54 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.27 , 7.54 ] = 7.54 mm
tb1 = 13.48 mm tb1 = max[ tb1 , tb UG16 ]
= max[ 13.48 , 7.5 ] = 13.48 mm
tb = min[ tb3 , tb1 ]
= min[ 10.8 , 13.48 ] = 10.8 mm
tUG-45 = max[ ta , tb ]
= max[ 7.54 , 10.8 ] = 10.8 mm
Available nozzle wall thickness new, tn = 0.875*15.24 = 13.34 mm The nozzle neck thickness is adequate. Applied Loads Radial load: Pr = 264.11 kgf Circumferential moment: M1 = 117.27 kgf-m Circumferential shear: V2 = 186.61 kgf Longitudinal moment: M2 = 117.27 kgf-m Longitudinal shear: V1 = 186.61 kgf Torsion moment: Mt = 166.21 kgf-m Internal pressure: P = 8.89 bar Head yield stress: Sy = 1,988.45 kgf/cm2
V-8601 262
Maximum stresses due to the applied loads at the pad edge (includes pressure) Mean dish radius Rm = 1,809.33 mm U = ro / Sqr(Rm*t) = 0.95 Pressure stress intensity factor, I = 1 (derived from PVP-Vol. 399, pages 77-82) Local pressure stress = I*P*Ri / (2*t) =1,212.302 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 2,374.33 kgf/cm2 Allowable combined stress (PL+Pb+Q ) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 1,364.8 kgf/cm2 Allowable local primary membrane stress (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The local maximum primary membrane stress (PL) is within allowable limits.
Stresses at the pad edge per WRC Bulletin 107
Figure value Au Al Bu Bl Cu Cl Du Dl
SR-2* 0.0703 -40.778 -40.778 -40.778 -40.778 -40.778 -40.778 -40.778 -40.778
SR-2 0.0378 -131.474 131.474 -131.474 131.474 -131.474 131.474 -131.474 131.474
SR-3* 0.083 0 0 0 0 -193.274 -193.274 193.274 193.274
SR-3 0.0815 0 0 0 0 -1,138.62 1,138.62 1,138.62 -1,138.62
SR-3* 0.083 -193.274 -193.274 193.274 193.274 0 0 0 0
SR-3 0.0815 -1,138.62 1,138.62 1,138.62 -1,138.62 0 0 0 0
Pressure stress* 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302
Total Ox stress -291.844 2,248.344 2,371.944 357.651 -291.844 2,248.344 2,371.944 357.651
Membrane Ox stress* 978.25 978.25 1,364.798 1,364.798 978.25 978.25 1,364.798 1,364.798
SR-2* 0.0218 -12.655 -12.655 -12.655 -12.655 -12.655 -12.655 -12.655 -12.655
SR-2 0.0113 -39.302 39.302 -39.302 39.302 -39.302 39.302 -39.302 39.302
SR-3* 0.025 0 0 0 0 -58.214 -58.214 58.214 58.214
SR-3 0.0246 0 0 0 0 -343.66 343.66 343.66 -343.66
SR-3* 0.025 -58.214 -58.214 58.214 58.214 0 0 0 0
SR-3 0.0246 -343.66 343.66 343.66 -343.66 0 0 0 0
Pressure stress* 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302 1,212.302
Total Oy stress 758.471 1,524.394 1,562.219 953.502 758.471 1,524.394 1,562.219 953.502
Membrane Oy stress* 1,141.433 1,141.433 1,257.861 1,257.861 1,141.433 1,141.433 1,257.861 1,257.861
Shear from Mt 35.575 35.575 35.575 35.575 35.575 35.575 35.575 35.575
Shear from V1 0 0 0 0 -8.367 -8.367 8.367 8.367
Shear from V2 8.367 8.367 -8.367 -8.367 0 0 0 0
Total Shear stress 43.942 43.942 27.209 27.209 27.209 27.209 43.942 43.942
Combined stress(PL+Pb+Q) 1,053.971 2,251.016 2,372.858 954.768 1,051.721 2,249.399 2,374.334 956.736
Notes: (1) * denotes primary stress.
(2) The nozzle is assumed to be a rigid (solid) attachment.
V-8601 263
Maximum stresses due to the applied loads at the nozzle OD (includes pressure) Mean dish radius Rm = 1,809.33 mm U = ro / Sqr(Rm*t) = 0.224 Pressure stress intensity factor, I = 0.15518 (derived from PVP-Vol. 399, pages 77-82) Local pressure stress = I*P*Ri / (2*t) =188.141 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 732.32 kgf/cm2 Allowable combined stress (PL+Pb+Q ) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 196.37 kgf/cm2 Allowable local primary membrane stress (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The local maximum primary membrane stress (PL) is within allowable limits.
Stresses at the nozzle OD per WRC Bulletin 107
Figure value Au Al Bu Bl Cu Cl Du Dl
SR-2* 0.2154 -12.022 -12.022 -12.022 -12.022 -12.022 -12.022 -12.022 -12.022
SR-2 0.1782 -59.691 59.691 -59.691 59.691 -59.691 59.691 -59.691 59.691
SR-3* 0.1619 0 0 0 0 -20.248 -20.248 20.248 20.248
SR-3 0.6736 0 0 0 0 -505.014 505.014 505.014 -505.014
SR-3* 0.1619 -20.248 -20.248 20.248 20.248 0 0 0 0
SR-3 0.6736 -505.014 505.014 505.014 -505.014 0 0 0 0
Pressure stress* 188.141 188.141 188.141 188.141 188.141 188.141 188.141 188.141
Total Ox stress -408.835 720.575 641.691 -248.957 -408.835 720.575 641.691 -248.957
Membrane Ox stress* 155.87 155.87 196.367 196.367 155.87 155.87 196.367 196.367
SR-2* 0.0666 -3.726 -3.726 -3.726 -3.726 -3.726 -3.726 -3.726 -3.726
SR-2 0.0532 -17.788 17.788 -17.788 17.788 -17.788 17.788 -17.788 17.788
SR-3* 0.049 0 0 0 0 -6.117 -6.117 6.117 6.117
SR-3 0.196 0 0 0 0 -146.941 146.941 146.941 -146.941
SR-3* 0.049 -6.117 -6.117 6.117 6.117 0 0 0 0
SR-3 0.196 -146.941 146.941 146.941 -146.941 0 0 0 0
Pressure stress* 188.141 188.141 188.141 188.141 188.141 188.141 188.141 188.141
Total Oy stress 13.569 343.027 319.685 61.378 13.569 343.027 319.685 61.378
Membrane Oy stress* 178.298 178.298 190.532 190.532 178.298 178.298 190.532 190.532
Shear from Mt 61.589 61.589 61.589 61.589 61.589 61.589 61.589 61.589
Shear from V1 0 0 0 0 -6.117 -6.117 6.117 6.117
Shear from V2 6.117 6.117 -6.117 -6.117 0 0 0 0
Total Shear stress 67.706 67.706 55.472 55.472 55.472 55.472 67.706 67.706
Combined stress(PL+Pb+Q) 443.566 732.317 650.972 329.599 436.746 728.59 655.331 338.598
Notes: (1) * denotes primary stress.
(2) The nozzle is assumed to be a rigid (solid) attachment.
V-8601 264
Longitudinal stress in the nozzle wall due to internal pressure + external loads (hot shut down condition governs) σn (Pm) = ABS(Pr / (π*(Ro
2 - Ri2))) + M*Ro / I
= ABS(264.11 / (π*(44.452 - 35.212))*100) + 165,840.4*44.45 / 1,858,904*100 = 407.979 kgf/cm2 The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤ S = 1,203.264 kgf/cm2) Longitudinal stress in the nozzle wall due to external pressure + external loads σn (Pm) = ABS(P*Ri / (2*tn) - Pr / (π*(Ro
2 - Ri2)) - M*Ro / I)
= ABS(-1.03*1.02*35.21 / (2*7.34) - 264.11 / (π*(44.452 - 35.212)) - 165,840.4*44.45 / 1,858,904) = 410.51 kgf/cm2 The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to external pressure + external loads is acceptable ( ≤ S = 1,203.264 kgf/cm2) Shear stress in the nozzle wall due to external loads σshear = (VL
2 + Vc2)0.5 / (π*Ri*tn)*100
= (186.612 + 186.612)0.5 / (π*35.21*9.24)*100 = 25.82 kgf/cm2 σtorsion = Mt / (2*π*Ri
2*tn)*100000 = 166.2 / (2*π*35.212*9.24)*100000 = 230.931 kgf/cm2 σtotal = σshear + σtorsion = 25.82 + 230.931 = 256.751 kgf/cm2 UG-45: The total combined shear stress (256.751 kgf/cm2) is below than the allowable (0.7*Sn = 0.7*1,203.264 = 842.285 kgf/cm2) Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 16.78 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 4.8 13.34
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 6.38 8.4 weld size is adequate
Nozzle to pad groove (Upper) 10.5 15 weld size is adequate
V-8601 265
Calculations for internal pressure 16.78 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(58.42, 29.21 + (15.24 - 0) + (12.75 - 0))= 58.42 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(12.75 - 0), 2.5*(15.24 - 0) + 15)= 31.88 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 16.7763*29.21 / (1,180*1 - 0.6*16.7763)= 0.42 mm
Required thickness tr from UG-37(a)(c) tr = P*K1*D / (2*S*E - 0.2*P)
= 16.7763*0.9*1,990 / (2*1,180*1 - 0.2*16.7763)= 12.75 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 15 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 12.75 mm
tw(min) = 0.5*tmin = 6.38 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 16.7763*29.21 / (1,180*1 - 0.6*16.7763) + 0= 0.42 mm
ta UG-22 = 2.35 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.42 , 2.35 ] = 2.35 mm
tb1 = 14.17 mm tb1 = max[ tb1 , tb UG16 ]
= max[ 14.17 , 1.5 ] = 14.17 mm
tb = min[ tb3 , tb1 ]
= min[ 4.8 , 14.17 ] = 4.8 mm
tUG-45 = max[ ta , tb ]
= max[ 2.35 , 4.8 ] = 4.8 mm
Available nozzle wall thickness new, tn = 0.875*15.24 = 13.34 mm The nozzle neck thickness is adequate.
V-8601 266
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 13.34
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 3.38 8.4 weld size is adequate
Nozzle to pad groove (Upper) 6.47 15 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(70.42, 35.21 + (15.24 - 6) + (12.75 - 6))= 70.42 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(12.75 - 6), 2.5*(15.24 - 6) + 15)= 16.88 mm
Nozzle required thickness per UG-28 trn = 0.64 mm From UG-37(d)(1) required thickness tr = 5.95 mm This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 9.24 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 6.75 mm
tw(min) = 0.5*tmin = 3.38 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
V-8601 267
UG-45 Nozzle Neck Thickness Check Interpretation VIII-1-83-66 has been applied. ta UG-28 = 7.48 mm ta UG-22 = 7.48 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.64 , 7.48 ] = 7.48 mm
tb2 = 7.15 mm tb2 = max[ tb2 , tb UG16 ]
= max[ 7.15 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 10.8 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 7.48 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*15.24 = 13.34 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 452.25 / 88.9 = 5.0871 Do / t = 88.9 / 0.64 = 139.7961From table G: A = 0.000145 From table CS-2 Metric: B = 146.4338 kg/cm2 (143.6 bar)Pa = 4*B / (3*(Do / t))
= 4*143.6 / (3*(88.9 / 0.64)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.64 + 6 = 6.64 mm
V-8601 268
Drain (N5) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15.24 mm Leg41 = 12 mm
Note: round inside edges per UG-76(c) Located on: Sour Water Outlet (N4) Liquid static head included: 0.7785 bar
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) (normalized)
Nozzle longitudinal joint efficiency: 1 Nozzle description: NPS 3 XX Heavy DN 80Flange description: NPS 3 Class 150 WN A105 Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32) Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.3301) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.7756 bar ASME B16.5-2003 flange rating MAWP: 15.8 bar @ 150°C ASME B16.5-2003 flange rating MAP: 19.6 bar @ 25°C ASME B16.5-2003 flange hydro test: 30 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 0° Local vessel minimum thickness: 13.34 mm Nozzle center line offset to face of parent nozzle: 250 mm End of nozzle to shell center: 230 mm Nozzle inside diameter, new: 58.42 mm Nozzle nominal wall thickness: 15.24 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 115.7 mm Projection available outside vessel to flange face, Lf: 185.55 mm Note: Nozzle is outside of scope of Appendix 1-7 as externally applied loads exist. Appendix 1-10 or Division 2 Part 4.5 was used for the U-2(g) large opening analysis.
V-8601 269
Reinforcement Calculations for Internal Pressure The attached ASME B16.5 flange limits the nozzle MAWP.
Appendix 1-10 Maximum Local Primary Membrane StressFor P = 15.8 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
PL (kgf/cm2)
Sallow (kgf/cm2)
A1 (cm2)
A2 (cm2)
A3 (cm2)
A5 (cm2)
A welds(cm2)
treq (mm)
tmin (mm)
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.72 13.34
Division 2 Part 4.5 Strength of Nozzle Attachment Welds Summary Average Shear Stress in Weld
ky Lτ
(mm) L41T
(mm) L42T
(mm) L43T
(mm) fwelds (kgf)
τ (kgf/cm2)
S (kgf/cm2)
Overstressed
1.2624 69.82 8.49 0 0 252.2 42.2 1,203.26 No
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 5.13 8.4 weld size is adequate
Calculations for internal pressure 15.8 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2004). External nozzle loadings per UG-22 govern the coincident ratio used. Nozzle UCS-66 governing thk: 13.34 mm Nozzle rated MDMT: -105 °C Appendix 1-10 Effective radius of the vessel Reff = 0.5*Di
= 0.5*70.42 = 35.21 mm
Limit of reinforcement along the vessel wall LR = 8*t
= 8*7.34 = 58.68 mm
Limit of reinforcement along the nozzle wall projecting outside the vessel surface LH1 = t + 0.78*(Rn*tn)0.5
= 7.34 + 0.78*(35.21*9.24)0.5 = 21.4 mm
LH2 = Lpr1 + t
= 115.7 + 7.34 = 123.04 mm
LH3 = 8*(t + te)
= 8*(7.34 + 0) = 58.68 mm
V-8601 270
LH = min[ LH1, LH2, LH3]
= min[ 21.4, 123.04, 58.68] = 21.4 mm
Effective thickness teff = t
= 7.34 mm Total available area near the nozzle opening λ = min[ (2*Rn + tn) / ((Di + teff)*teff)0.5, 10]
= min[ (2*35.21 + 9.24) / ((70.42 + 7.34)*7.34)0.5, 10]= 3.3356
A1 = t*LR*max[ (λ / 4) , 1]
= 7.34*58.68*max[ (3.3356 / 4) , 1] / 100 = 7.34*58.68*1 / 100= 4.3042 cm2
A2 = tn*LH
= 9.24*21.4 / 100 = 1.9777 cm2
A41 = 0.5*L41
2 = 0.5*122 / 100 = 0.72 cm2
AT = A1 + A2 + A41
= 4.3042 + 1.9777 + 0.72 = 7.0019 cm2
Forces at nozzle to vessel intersection fN = P*Rn*(LH - t)
= 15.8*35.21*(21.4 - 7.34)*0.0102 = 79.83 kgf
fS = P*Reff*(LR + tn)
= 15.8*35.21*(58.68 + 9.24)*0.0102 = 385.37 kgf
fY = P*Reff*Rnc
= 15.8*35.21*35.21*0.0102 = 199.78 kgf
Average local primary membrane stress σavg = (fN + fS + fY) / AT
= (79.83 + 385.37 + 199.78) / 7.0019 = 94.97 kgf/cm2
General primary membrane stress σcirc = P*Reff / teff
= 15.8*35.21 / 7.34*1.02 = 77.354 kgf/cm2
Maximum local primary membrane stress at the nozzle intersection PL = max[ {2*σavg - σcirc} , σcirc]
= max[ {2*94.97 - 77.35} , 77.35] = 112.587 kgf/cm2
V-8601 271
Allowable stress Sallow = 1.5*S*E
= 1.5*1,203.26*1 = 1,804.896 kgf/cm2
PL = 112.59 kgf/cm2 ≤ Sallow = 1,804.9 kgf/cm2 satisfactory Maximum allowable working pressure Ap = Rn*(LH - t) + Reff*(LR + tn + Rnc)
= (35.21*(21.4 - 7.34) + 35.21*(58.68 + 9.24 + 35.21)) / 100= 41.2658 cm2
Pmax1 = Sallow / (2*Ap / AT - Reff / teff)
= 1,804.9 / (2*41.2658 / 7.0019 - 35.21 / 7.34) / 1.02= 253.3372 bar
Pmax2 = S*(t / Reff)
= 1,203.264*(7.34 / 35.21) / 1.02 = 245.8193 bar
Pmax = min[ Pmax1, Pmax2]
= min[ 253.34, 245.82] = 245.8193 bar
Division 2 Part 4.5 Strength of Nozzle Attachment Welds (U-2(g) analysis) Discontinuity force factor ky = (Rnc + tn) / Rnc
= (35.21 + 9.24) / 35.21 = 1.2624
Weld length resisting discontinuity force Lτ = π / 2*(Rn + tn)
= π / 2*(35.21 + 9.24)= 69.82 mm
Weld throat dimensions L41T = 0.7071*L41
= 0.7071*12 = 8.49 mm
Average shear stress in weld fwelds = min[ fY*ky, 1.5*Sn*(A2 + A3) ]
= min[ 199.78*1.2624, 1.5*1,203.26*(1.9777 + 0) ]= 252.2 kgf
τ = fwelds / [Lτ*(0.49*L41T + 0.6*tw1 + 0.49*L43T)]
= 252.2 / [69.82*(0.49*8.49 + 0.6*7.34 + 0.49*0)]*100= 42.204 kgf/cm2
τ = 42.2 kgf/cm2 ≤ S = 1,203.26 kgf/cm2 satisfactory UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 7.34 mm tc(min) = lesser of 6 mm or 0.7*tmin = 5.13 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
V-8601 272
UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 15.8028*35.21 / (1,180*1 - 0.6*15.8028) + 6= 6.48 mm
ta UG-22 = 7.72 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.48 , 7.72 ] = 7.72 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 15.8028*35.21 / (1,180*1 - 0.6*15.8028) + 6= 6.48 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 6.48 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb1 ]
= min[ 10.8 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 7.72 , 7.5 ] = 7.72 mm
Available nozzle wall thickness new, tn = 0.875*15.24 = 13.34 mm The nozzle neck thickness is adequate. Applied Loads Radial load: Pr = 264.11 kgf Circumferential moment: Mc = 117.27 kgf-m Circumferential shear: Vc = 186.61 kgf Longitudinal moment: ML = 117.27 kgf-m Longitudinal shear: VL = 186.61 kgf Torsion moment: Mt = 166.21 kgf-m Internal pressure: P = 15.8 bar Mean shell radius: Rm = 38.88 mm Local shell thickness: t = 7.34 mm Shell yield stress: Sy = 2,182.19 kgf/cm2
Maximum stresses due to the applied loads at the nozzle OD (includes pressure) Rm / t = 38.88 / 7.34 = 5.3003 Pressure stress intensity factor, I = 1.35091 (derived from PVP-Vol. 399, pages 77-82) Local circumferential pressure stress = I*P*Ri / t =104.476 kgf/cm2 Local longitudinal pressure stress = I*P*Ri / (2*t) =52.238 kgf/cm2 Maximum combined stress (PL+Pb+Q) = -3,369.11 kgf/cm2 Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 691.82 kgf/cm2 Allowable local primary membrane (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The maximum local primary membrane stress (PL) is within allowable limits.
V-8601 273
Stresses at the nozzle OD per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 0.6084 1.0004 0 0 0 0 -56.316 -56.316 -56.316 -56.316
4C* 0.7818 1.0004 -72.416 -72.416 -72.416 -72.416 0 0 0 0
1C 0.0579 1.0004 0 0 0 0 -170.565 170.565 -170.565 170.565
2C-1 0.0389 1.0004 -114.6 114.6 -114.6 114.6 0 0 0 0
3A* 0.272 1.0004 0 0 0 0 -287.555 -287.555 287.555 287.555
1A 0.0864 1.0004 0 0 0 0 -2,905.081 2,905.081 2,905.081 -
2,905.081
3B* 0.624 1.0004 -659.76 -659.76 659.76 659.76 0 0 0 0
1B-1 0.0302 1.0004 -1,015.443 1,015.443 1,015.443 -
1,015.443 0 0 0 0
Pressure stress* 104.476 104.476 104.476 104.476 77.338 77.338 77.338 77.338
Total circumferential stress -1,757.743 502.343 1,592.662 -209.022 -
3,342.179 2,809.112 3,043.094 -2,425.94
Primary membrane circumferential stress* -627.7 -627.7 691.82 691.82 -266.533 -266.533 308.577 308.577
3C* 0.6084 1.0004 -56.316 -56.316 -56.316 -56.316 0 0 0 0
4C* 0.7818 1.0004 0 0 0 0 -72.416 -72.416 -72.416 -72.416
1C-1 0.0571 1.0004 -168.174 168.174 -168.174 168.174 0 0 0 0
2C 0.0397 1.0004 0 0 0 0 -116.92 116.92 -116.92 116.92
4A* 0.5354 1.0004 0 0 0 0 -566.111 -566.111 566.111 566.111
2A 0.0495 1.0004 0 0 0 0 -1,664.375 1,664.375 1,664.375 -
1,664.375
4B* 0.2356 1.0004 -249.097 -249.097 249.097 249.097 0 0 0 0
2B-1 0.0536 1.0004 -1,802.247 1,802.247 1,802.247 -
1,802.247 0 0 0 0
Pressure stress* 38.669 38.669 38.669 38.669 52.238 52.238 52.238 52.238
Total longitudinal stress -2,237.166 1,703.677 1,865.523 -
1,402.623 -2,367.585 1,195.006 2,093.388 -
1,001.522
Primary membrane longitudinal stress* -266.744 -266.744 231.45 231.45 -586.289 -586.289 545.933 545.933
Shear from Mt 182.517 182.517 182.517 182.517 182.517 182.517 182.517 182.517
Circ shear from Vc 18.209 18.209 -18.209 -18.209 0 0 0 0
Long shear from VL 0 0 0 0 -18.209 -18.209 18.209 18.209
Total Shear stress 200.726 200.726 164.307 164.307 164.307 164.307 200.726 200.726
Combined stress (PL+Pb+Q) -2,310.074 1,736.299 1,942.65 -1,424.84 -
3,369.107 2,825.634 3,083.801 -2,453.711
Note: * denotes primary stress.
V-8601 274
Longitudinal stress in the nozzle wall due to internal pressure + external loads σn (Pm) = P*Ri / (2*tn) - Pr / (π*(Ro
2 - Ri2)) + M*Ro / I
= 15.8*1.02*35.21 / (2*7.34) - 264.11 / (π*(44.452 - 35.212))*100 + 165,840.4*44.45 / 1,858,904*100 = 423.813 kgf/cm2 The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤ S = 1,203.264 kgf/cm2) Shear stress in the nozzle wall due to external loads σshear = (VL
2 + Vc2)0.5 / (π*Ri*tn)*100
= (186.612 + 186.612)0.5 / (π*35.21*9.24)*100 = 25.82 kgf/cm2 σtorsion = Mt / (2*π*Ri
2*tn)*100000 = 166.2 / (2*π*35.212*9.24)*100000 = 230.931 kgf/cm2 σtotal = σshear + σtorsion = 25.82 + 230.931 = 256.751 kgf/cm2 UG-45: The total combined shear stress (256.751 kgf/cm2) is below than the allowable (0.7*Sn = 0.7*1,203.264 = 842.285 kgf/cm2) Reinforcement Calculations for MAP The attached ASME B16.5 flange limits the nozzle MAP.
Appendix 1-10 Maximum Local Primary Membrane StressFor P = 19.6 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
PL (kgf/cm2)
Sallow (kgf/cm2)
A1 (cm2)
A2 (cm2)
A3 (cm2)
A5 (cm2)
A welds(cm2)
treq (mm)
tmin (mm)
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 2.41 13.34
Division 2 Part 4.5 Strength of Nozzle Attachment Welds Summary Average Shear Stress in Weld
ky Lτ
(mm) L41T
(mm) L42T
(mm) L43T
(mm) fwelds (kgf)
τ (kgf/cm2)
S (kgf/cm2)
Overstressed
1.5217 69.82 8.49 0 0 259.5 30.57 1,203.26 No
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 8.4 weld size is adequate
Calculations for internal pressure 19.6 bar @ 25 °C Appendix 1-10 Effective radius of the vessel Reff = 0.5*Di
= 0.5*58.42 = 29.21 mm
Limit of reinforcement along the vessel wall LR = 8*t
= 8*13.34 = 106.68 mm
V-8601 275
Limit of reinforcement along the nozzle wall projecting outside the vessel surface LH1 = t + 0.78*(Rn*tn)0.5
= 13.34 + 0.78*(29.21*15.24)0.5 = 29.79 mm
LH2 = Lpr1 + t
= 115.7 + 13.34 = 129.04 mm
LH3 = 8*(t + te)
= 8*(13.34 + 0) = 106.68 mm
LH = min[ LH1, LH2, LH3]
= min[ 29.79, 129.04, 106.68] = 29.79 mm
Effective thickness teff = t
= 13.34 mm Total available area near the nozzle opening λ = min[ (2*Rn + tn) / ((Di + teff)*teff)0.5, 10]
= min[ (2*29.21 + 15.24) / ((58.42 + 13.34)*13.34)0.5, 10]= 2.3813
A1 = t*LR*max[ (λ / 4) , 1]
= 13.34*106.68*max[ (2.3813 / 4) , 1] / 100= 13.34*106.68*1 / 100 = 14.2258 cm2
A2 = tn*LH
= 15.24*29.79 / 100= 4.5403 cm2
A41 = 0.5*L41
2 = 0.5*122 / 100 = 0.72 cm2
AT = A1 + A2 + A41
= 14.2258 + 4.5403 + 0.72 = 19.4861 cm2
Forces at nozzle to vessel intersection fN = P*Rn*(LH - t)
= 19.6*29.21*(29.79 - 13.34)*0.0102 = 96.08 kgf
fS = P*Reff*(LR + tn)
= 19.6*29.21*(106.68 + 15.24)*0.0102 = 711.77 kgf
fY = P*Reff*Rnc
= 19.6*29.21*29.21*0.0102 = 170.53 kgf
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Average local primary membrane stress σavg = (fN + fS + fY) / AT
= (96.08 + 711.77 + 170.53) / 19.4861 = 50.209 kgf/cm2
General primary membrane stress σcirc = P*Reff / teff
= 19.6*29.21 / 13.34*1.02 = 43.78 kgf/cm2
Maximum local primary membrane stress at the nozzle intersection PL = max[ {2*σavg - σcirc} , σcirc]
= max[ {2*50.21 - 43.78} , 43.78] = 56.638 kgf/cm2
Allowable stress Sallow = 1.5*S*E
= 1.5*1,203.26*1 = 1,804.896 kgf/cm2
PL = 56.64 kgf/cm2 ≤ Sallow = 1,804.9 kgf/cm2 satisfactory Maximum allowable pressure Ap = Rn*(LH - t) + Reff*(LR + tn + Rnc)
= (29.21*(29.79 - 13.34) + 29.21*(106.68 + 15.24 + 29.21)) / 100= 48.9522 cm2
Pmax1 = Sallow / (2*Ap / AT - Reff / teff)
= 1,804.9 / (2*48.9522 / 19.4861 - 29.21 / 13.34) / 1.02= 624.5932 bar
Pmax2 = S*(t / Reff)
= 1,203.264*(13.34 / 29.21) / 1.02 = 538.6956 bar
Pmax = min[ Pmax1, Pmax2]
= min[ 624.59, 538.7]= 538.6956 bar
Division 2 Part 4.5 Strength of Nozzle Attachment Welds (U-2(g) analysis) Discontinuity force factor ky = (Rnc + tn) / Rnc
= (29.21 + 15.24) / 29.21 = 1.5217
Weld length resisting discontinuity force Lτ = π / 2*(Rn + tn)
= π / 2*(29.21 + 15.24) = 69.82 mm
Weld throat dimensions L41T = 0.7071*L41
= 0.7071*12 = 8.49 mm
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Average shear stress in weld fwelds = min[ fY*ky, 1.5*Sn*(A2 + A3) ]
= min[ 170.53*1.5217, 1.5*1,203.26*(4.5403 + 0) ]= 259.5 kgf
τ = fwelds / [Lτ*(0.49*L41T + 0.6*tw1 + 0.49*L43T)]
= 259.5 / [69.82*(0.49*8.49 + 0.6*13.34 + 0.49*0)]*100= 30.567 kgf/cm2
τ = 30.57 kgf/cm2 ≤ S = 1,203.26 kgf/cm2 satisfactory UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 13.34 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 19.6*29.21 / (1,180*1 - 0.6*19.6) + 0= 0.49 mm
ta UG-22 = 2.41 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.49 , 2.41 ] = 2.41 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 19.6*29.21 / (1,180*1 - 0.6*19.6) + 0= 0.49 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 0.49 , 1.5 ] = 1.5 mm
tb = min[ tb3 , tb1 ]
= min[ 4.8 , 1.5 ] = 1.5 mm
tUG-45 = max[ ta , tb ]
= max[ 2.41 , 1.5 ] = 2.41 mm
Available nozzle wall thickness new, tn = 0.875*15.24 = 13.34 mm The nozzle neck thickness is adequate.
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Reinforcement Calculations for External Pressure
Division 2 Part 4.5 Maximum Local Primary Membrane StressFor Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
PL (kgf/cm2)
Sallow (kgf/cm2)
A1 (cm2)
A2 (cm2)
A3 (cm2)
A5 (cm2)
A welds(cm2)
treq (mm)
tmin (mm)
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 13.34
Division 2 Part 4.5 Strength of Nozzle Attachment Welds Summary Average Shear Stress in Weld
ky Lτ
(mm) L41T
(mm) L42T
(mm) L43T
(mm) fwelds (kgf)
τ (kgf/cm2)
S (kgf/cm2)
Overstressed
1.2624 69.82 8.49 0 0 24.06 4.03 1,203.26 No
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 5.13 8.4 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Division 2 Part 4.5 Design Rules for Openings in Shells and Heads (U-2(g) analysis) Effective radius of the vessel Reff = 0.5*Di
= 0.5*70.42 = 35.21 mm
Limit of reinforcement along the vessel wall LR = min[ (Reff*t)0.5, 2*Rn]
= min[ (35.21*7.34)0.5, 2*35.21] = 16.07 mm
Limit of reinforcement along the nozzle wall projecting outside the vessel surface LH1 = t + te + (Rn*tn)0.5
= 7.34 + 0 + (35.21*9.24)0.5 = 25.37 mm
LH2 = Lpr1 + t
= 115.7 + 7.34 = 123.04 mm
LH3 = 8*(t + te)
= 8*(7.34 + 0) = 58.68 mm
LH = min[ LH1, LH2, LH3]
= min[ 25.37, 123.04, 58.68] = 25.37 mm
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Effective thickness teff = t
= 7.34 mm Total available area near the nozzle opening λ = 0 (for external pressure design) A1 = t*LR*max[ (λ / 5)0.85 , 1]
= 7.34*16.07*max[ (0 / 5)0.85 , 1] / 100 = 7.34*16.07*1 / 100= 1.1788 cm2
A2 = tn*LH
= 9.24*25.37 / 100 = 2.3444 cm2
A41 = 0.5*L41
2 = 0.5*122 / 100 = 0.72 cm2
frn = Sn / S
= 1,203.26 / 1,203.26= 1
AT = A1 + frn*A2 + A41
= 1.1788 + 1*2.3444 + 0.72 = 4.2432 cm2
Forces at nozzle to vessel intersection Rxn = tn / ln[(Rn + tn) / Rn]
= 9.24 / ln[(35.21 + 9.24) / 35.21] = 39.65 mm
Rxs = teff / ln[(Reff + teff) / Reff]
= 7.34 / ln[(35.21 + 7.34) / 35.21] = 38.76 mm
fN = P*Rxn*(LH - t)
= 1.37*39.65*(25.37 - 7.34)*0.0102 = 9.99 kgf
fS = P*Rxs*(LR + tn)
= 1.37*38.76*(16.07 + 9.24)*0.0102 = 13.7 kgf
fY = P*Rxs*Rnc
= 1.37*38.76*35.21*0.0102 = 19.06 kgf
Average local primary membrane stress σavg = (fN + fS + fY) / AT
= (9.99 + 13.7 + 19.06) / 4.2432 = 10.076 kgf/cm2
General primary membrane stress σcirc = P*Rxs / teff
= 1.37*38.76 / 7.34*1.02 = 7.381 kgf/cm2
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Maximum local primary membrane stress at the nozzle intersection PL = max[ {2*σavg - σcirc} , σcirc]
= max[ {2*10.08 - 7.38} , 7.38] = 12.771 kgf/cm2
Allowable stress Sallow = 1.5*min[ Sc, S]
= 1.5*min[ 1,220.93, 1,203.26] = 1,804.896 kgf/cm2
PL = 12.77 kgf/cm2 ≤ Sallow = 1,804.9 kgf/cm2 satisfactory Maximum allowable external pressure Ap = Rxn*(LH - t) + Rxs*(LR + tn + Rnc)
= (39.65*(25.37 - 7.34) + 38.76*(16.07 + 9.24 + 35.21)) / 100= 30.6108 cm2
Pmax1 = Sallow / (2*Ap / AT - Rxs / teff)
= 1,804.9 / (2*30.6108 / 4.2432 - 38.76 / 7.34) / 1.02= 193.5746 bar
Pmax2 = S*(t / Rxs)
= 1,220.928*(7.34 / 38.76) / 1.02 = 226.572 bar
Pmax = min[ Pmax1, Pmax2]
= min[ 193.57, 226.57] = 193.5746 bar
Strength of Nozzle Attachment Welds Discontinuity force factor ky = (Rnc + tn) / Rnc
= (35.21 + 9.24) / 35.21 = 1.2624
Weld length resisting discontinuity force Lτ = π / 2*(Rn + tn)
= π / 2*(35.21 + 9.24)= 69.82 mm
Weld throat dimensions L41T = 0.7071*L41
= 0.7071*12 = 8.49 mm
Average shear stress in weld fwelds = min[ fY*ky, 1.5*Sn*(A2 + A3) ]
= min[ 19.06*1.2624, 1.5*1,203.26*(2.3444 + 0) ]= 24.06 kgf
τ = fwelds / [Lτ*(0.49*L41T + 0.6*tw1 + 0.49*L43T)]
= 24.06 / [69.82*(0.49*8.49 + 0.6*7.34 + 0.49*0)]*100= 4.027 kgf/cm2
τ = 4.03 kgf/cm2 ≤ S = 1,203.26 kgf/cm2 satisfactory
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UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 7.34 mm tc(min) = lesser of 6 mm or 0.7*tmin = 5.13 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 7.48 mm ta UG-22 = 7.48 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.47 , 7.48 ] = 7.48 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*35.21 / (1,180*1 - 0.6*1.3697) + 6= 6.04 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 6.04 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 10.8 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 7.48 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*15.24 = 13.34 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 230 / 88.9 = 2.5872 Do / t = 88.9 / 0.47 = 188.0944From table G: A = 0.000195 From table CS-2 Metric: B = 197.0367 kg/cm2 (193.23 bar)Pa = 4*B / (3*(Do / t))
= 4*193.23 / (3*(88.9 / 0.47)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.47 + 6 = 6.47 mm
V-8601 282
Utility Nozzle/Steam Out (N6) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 12 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.6941 bar
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) (normalized)
Nozzle longitudinal joint efficiency: 1 Nozzle description: NPS 2 XX Heavy DN 50Flange description: NPS 2 Class 150 WN A105 Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32) Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.3259) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.6923 bar ASME B16.5-2003 flange rating MAWP: 15.8 bar @ 150°C ASME B16.5-2003 flange rating MAP: 19.6 bar @ 25°C ASME B16.5-2003 flange hydro test: 30 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 240° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 150 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 38.18 mm Nozzle nominal wall thickness: 11.07 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 181.5 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 283
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.42 9.69
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.55 8.4 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2338). External nozzle loadings per UG-22 govern the coincident ratio used. Nozzle UCS-66 governing thk: 9.69 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(50.18, 25.09 + (11.07 - 6) + (15 - 6))= 50.18 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11.07 - 6) + 0) = 12.69 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5529*25.09 / (1,180*1 - 0.6*10.5529)= 0.23 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5529*1,001 / (1,180*1 - 0.6*10.5529)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5529*1,001 / (2*1,180*1.2 + 0.4*10.5529) - 0.6*13,899.44 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 9,112.2 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.83 mm
V-8601 284
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5529*1,001 / (2*1,180*1.2 + 0.4*10.5529) - 13,899.44 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 9,112.2 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.37 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.55 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5529*25.09 / (1,180*1 - 0.6*10.5529) + 6= 6.23 mm
ta UG-22 = 6.95 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.23 , 6.95 ] = 6.95 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5529*1,001 / (1,180*1 - 0.6*10.5529) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.42 , 15 ] = 9.42 mm
tUG-45 = max[ ta , tb ]
= max[ 6.95 , 9.42 ] = 9.42 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate. Applied Loads Radial load: Pr = 149.9 kgf Circumferential moment: Mc = 38.75 kgf-m Circumferential shear: Vc = 106.05 kgf Longitudinal moment: ML = 38.75 kgf-m Longitudinal shear: VL = 106.05 kgf Torsion moment: Mt = 55.06 kgf-m Internal pressure: P = 10.55 bar Mean shell radius: Rm = 1,005.5 mm Local shell thickness: t = 9 mm Shell yield stress: Sy = 1,988.45 kgf/cm2
V-8601 285
Maximum stresses due to the applied loads at the nozzle OD (includes pressure) Rm / t = 1,005.5 / 9 = 111.7157 Pressure stress intensity factor, I = 1.19513 (derived from PVP-Vol. 399, pages 77-82) Local circumferential pressure stress = I*P*Ri / t =1,430.324 kgf/cm2 Local longitudinal pressure stress = I*P*Ri / (2*t) =715.162 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 2,490.27 kgf/cm2 Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 1,483.26 kgf/cm2 Allowable local primary membrane (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The maximum local primary membrane stress (PL) is within allowable limits.
Stresses at the nozzle OD per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 23.3713 0.0262 0 0 0 0 -38.739 -38.739 -38.739 -38.739
4C* 21.1296 0.0262 -35.013 -35.013 -35.013 -35.013 0 0 0 0
1C 0.2234 0.0262 0 0 0 0 -248.043 248.043 -248.043 248.043
2C-1 0.1683 0.0262 -186.876 186.876 -186.876 186.876 0 0 0 0
3A* 1.4377 0.0262 0 0 0 0 -23.342 -23.342 23.342 23.342
1A 0.101 0.0262 0 0 0 0 -1,098.334 1,098.334 1,098.334 -
1,098.334
3B* 5.423 0.0262 -87.954 -87.954 87.954 87.954 0 0 0 0
1B-1 0.0593 0.0262 -644.855 644.855 644.855 -644.855 0 0 0 0
Pressure stress* 1,430.324 1,430.324 1,430.324 1,430.324 1,196.764 1,196.764 1,196.764 1,196.764
Total circumferential stress 475.626 2,139.087 1,941.244 1,025.286 -211.694 2,481.06 2,031.658 331.075
Primary membrane circumferential stress* 1,307.357 1,307.357 1,483.265 1,483.265 1,134.683 1,134.683 1,181.367 1,181.367
3C* 23.3713 0.0262 -38.739 -38.739 -38.739 -38.739 0 0 0 0
4C* 21.1296 0.0262 0 0 0 0 -35.013 -35.013 -35.013 -35.013
1C-1 0.2161 0.0262 -239.887 239.887 -239.887 239.887 0 0 0 0
2C 0.1727 0.0262 0 0 0 0 -191.727 191.727 -191.727 191.727
4A* 1.7057 0.0262 0 0 0 0 -27.701 -27.701 27.701 27.701
2A 0.0622 0.0262 0 0 0 0 -676.352 676.352 676.352 -676.352
4B* 1.5224 0.0262 -24.678 -24.678 24.678 24.678 0 0 0 0
2B-1 0.1014 0.0262 -1,102.693 1,102.693 1,102.693 -
1,102.693 0 0 0 0
Pressure stress* 598.382 598.382 598.382 598.382 715.162 715.162 715.162 715.162
Total longitudinal stress -807.615 1,877.546 1,447.127 -278.486 -215.631 1,520.527 1,192.475 223.224
Primary membrane longitudinal stress* 534.965 534.965 584.321 584.321 652.448 652.448 707.85 707.85
Shear from Mt 107.007 107.007 107.007 107.007 107.007 107.007 107.007 107.007
Circ shear from Vc 12.444 12.444 -12.444 -12.444 0 0 0 0
Long shear from VL 0 0 0 0 -12.444 -12.444 12.444 12.444
Total Shear stress 119.451 119.451 94.563 94.563 94.563 94.563 119.451 119.451
Combined stress (PL+Pb+Q) 1,305.318 2,185.42 1,958.75 1,317.411 -308.225 2,490.27 2,048.321 408.202
Note: * denotes primary stress.
V-8601 286
Longitudinal stress in the nozzle wall due to internal pressure + external loads σn (Pm) = P*Ri / (2*tn) - Pr / (π*(Ro
2 - Ri2)) + M*Ro / I
= 10.55*1.02*25.09 / (2*3.69) - 149.9 / (π*(30.162 - 25.092))*100 + 54,799.4*30.16 / 338,924.9*100 = 507.249 kgf/cm2 The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤ S = 1,203.264 kgf/cm2) Longitudinal stress in the nozzle wall due to external pressure + external loads σn (Pm) = ABS(P*Ri / (2*tn) - Pr / (π*(Ro
2 - Ri2)) - M*Ro / I)
= ABS(-1.03*1.02*25.09 / (2*3.69) - 149.9 / (π*(30.162 - 25.092)) - 54,799.4*30.16 / 338,924.9) = 508.291 kgf/cm2 The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to external pressure + external loads is acceptable ( ≤ S = 1,203.264 kgf/cm2) Shear stress in the nozzle wall due to external loads σshear = (VL
2 + Vc2)0.5 / (π*Ri*tn)*100
= (106.052 + 106.052)0.5 / (π*25.09*5.07)*100 = 37.499 kgf/cm2 σtorsion = Mt / (2*π*Ri
2*tn)*100000 = 55.1 / (2*π*25.092*5.07)*100000 = 274.393 kgf/cm2 σtotal = σshear + σtorsion = 37.499 + 274.393 = 311.892 kgf/cm2 UG-45: The total combined shear stress (311.892 kgf/cm2) is below than the allowable (0.7*Sn = 0.7*1,203.264 = 842.285 kgf/cm2) Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.42 9.69
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 8.4 weld size is adequate
V-8601 287
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.18, 19.09 + (11.07 - 0) + (15 - 0))= 45.16 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11.07 - 0) + 0) = 27.69 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*19.09 / (1,180*1 - 0.6*17.6294)= 0.29 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*16,034.29 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 23,258 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.58 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 16,034.29 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 23,258 / (π*1,002.52*1,180*1.2)
* 98066.5| = 5.49 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*19.09 / (1,180*1 - 0.6*17.6294) + 0= 0.29 mm
ta UG-22 = 1.69 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.29 , 1.69 ] = 1.69 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
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tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.42 , 15 ] = 3.42 mm
tUG-45 = max[ ta , tb ]
= max[ 1.69 , 3.42 ] = 3.42 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.69
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.55 8.4 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(50.18, 25.09 + (11.07 - 6) + (15 - 6))= 50.18 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11.07 - 6) + 0) = 12.69 mm
Nozzle required thickness per UG-28 trn = 0.39 mm From UG-37(d)(1) required thickness tr = 9 mm
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Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*13,899.44 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 9,112.2 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.51 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 13,899.44 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 9,112.2 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 1.13 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.55 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.87 mm ta UG-22 = 6.87 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.39 , 6.87 ] = 6.87 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 9.42 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 6.87 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.45 / 60.32 = 4.0688 Do / t = 60.32 / 0.39 = 154.0723From table G: A = 0.000160 From table CS-2 Metric: B = 161.3873 kg/cm2 (158.27 bar)Pa = 4*B / (3*(Do / t))
= 4*158.27 / (3*(60.32 / 0.39)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.39 + 6 = 6.39 mm
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PSV (N7) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 12 mm tw(upper) = 15 mm Leg42 = 12 mm Dp = 240 mm te = 15 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.2371 bar
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) (normalized)
Nozzle longitudinal joint efficiency: 1 Nozzle description: NPS 4 Sch 160 DN 100 Pad material specification: SA-516 60 (II-D Metric p. 10, ln. 27) (normalized) Pad diameter: 240 mmFlange description: NPS 4 Class 150 WN A105 Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32) Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.3024) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.2329 bar ASME B16.5-2003 flange rating MAWP: 15.8 bar @ 150°C ASME B16.5-2003 flange rating MAP: 19.6 bar @ 25°C ASME B16.5-2003 flange hydro test: 30 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 135° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 4,900 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 87.33 mm Nozzle nominal wall thickness: 13.49 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 168.8 mm Projection available outside vessel to flange face, Lf: 245 mm Pad is split: No
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Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
8.9393 17.059 0.0006 3.1684 -- 12.6526 1.2374 11.27 11.8
UG-41 Weld Failure Path Analysis Summary (kgf) All failure paths are stronger than the applicable weld loads
Weld load W
Weld load W1-1
Path 1-1strength
Weld load W2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
10,756 20,526 37,254 6,923 51,072 22,148 41,062
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 5.24 8.4 weld size is adequate
Pad to shell fillet (Leg42) 4.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 5.24 15 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2313). External nozzle loadings per UG-22 govern the coincident ratio used. Pad impact test exemption temperature from Fig UCS-66M Curve D = -45.13 °C 17 °C MDMT reduction per UCS-68(c) applies. Fig UCS-66.1M MDMT reduction = 26.1 °C, (coincident ratio = 0.5608) Rated MDMT of -88.23°C is limited to -48°C by UCS-66(b)(2). Nozzle UCS-66 governing thk: 11.8 mm Nozzle rated MDMT: -105 °C Pad UCS-66 governing thickness: 15 mm Pad rated MDMT: -48 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(99.33, 49.66 + (13.49 - 6) + (15 - 6))= 99.33 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(13.49 - 6) + 15) = 22.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5525*49.66 / (1,180*1 - 0.6*10.5525)= 0.45 mm
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Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5525*1,001 / (1,180*1 - 0.6*10.5525)= 9 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5525*1,001 / (2*1,180*1.2 + 0.4*10.5525) - 0.6*2,399.44 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 819.7 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.73 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5525*1,001 / (2*1,180*1.2 + 0.4*10.5525) - 2,399.44 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 819.7 / (π*1,005.52*1,180*1.2)
* 98066.5| = 3.68 mm
Area required per UG-37(c) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (99.33*9*1 + 2*7.49*9*1*(1 - 1)) / 100 = 8.9393 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 0.0006 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (99.33*(1*9 - 1*9) - 2*7.49*(1*9 - 1*9)*(1 - 1)) / 100= 0.0006 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(9 + 7.49)*(1*9 - 1*9) - 2*7.49*(1*9 - 1*9)*(1 - 1)) / 100= 0 cm2
A2 = smaller of the following= 3.1684 cm2
= 5*(tn - trn)*fr2*t = (5*(7.49 - 0.45)*1*9) / 100 = 3.1684 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(7.49 - 0.45)*(2.5*7.49 + 15)*1) / 100= 4.7477 cm2
A41 = Leg2*fr3
= (11.122*1) / 100 = 1.2374 cm2
(Part of the weld is outside of the limits)
V-8601 293
A42 = Leg2*fr4
= (02*1) / 100 = 0 cm2
(Part of the weld is outside of the limits) A5 = (Dp - d - 2*tn)*te*fr4
= ((198.65 - 99.33 - 2*7.49)*15*1) / 100 = 12.6526 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0.0006 + 3.1684 + 1.2374 + 0 + 12.6526 = 17.059 cm2
As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 7.49 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 5.24 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 9 mm
tw(min) = 0.5*tmin = 4.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5525*49.66 / (1,180*1 - 0.6*10.5525) + 6= 6.45 mm
ta UG-22 = 7.5 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.45 , 7.5 ] = 7.5 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5525*1,001 / (1,180*1 - 0.6*10.5525) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 11.27 , 15 ] = 11.27 mm
tUG-45 = max[ ta , tb ]
= max[ 7.5 , 11.27 ] = 11.27 mm
Available nozzle wall thickness new, tn = 0.875*13.49 = 11.8 mm The nozzle neck thickness is adequate.
V-8601 294
Allowable stresses in joints UG-45 and UW-15(c) Groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Nozzle wall in shear: 0.7*1,203.264 = 842.285 kgf/cm2
Inner fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Outer fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Upper groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Strength of welded joints: (1) Inner fillet weld in shear (π / 2)*Nozzle OD*Leg*Si = (π / 2)*114.3*12*589.599 = 12,702.96 kgf (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*240*12*589.599 = 26,672.87 kgf (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*106.81*7.49*842.285 = 10,581.15 kgf (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*114.3*9*890.415 = 14,388.87 kgf (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*114.3*15*890.415 = 23,980.07 kgf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (893.925 - 0.0645 + 2*7.49*1*(1*9 - 1*9))*1,203.264= 10,755.61 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (316.8381 + 1,265.2561 + 123.7417 + 0)*1,203.264= 20,525.73 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (316.8381 + 0 + 123.7417 + 0 + 2*7.49*9*1)*1,203.264= 6,923.12 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (316.8381 + 0 + 1,265.2561 + 123.7417 + 0 + 0 + 2*7.49*9*1)*1,203.264= 22,147.5 kgf
Load for path 1-1 lesser of W or W1-1 = 10,755.61 kgf Path 1-1 through (2) & (3) = 26,672.87 + 10,581.15 = 37,254.02 kgf Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2). Load for path 2-2 lesser of W or W2-2 = 6,923.12 kgf Path 2-2 through (1), (4), (6) = 12,702.96 + 14,388.87 + 23,980.07 = 51,071.9 kgf Path 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1). Load for path 3-3 lesser of W or W3-3 = 10,755.61 kgf Path 3-3 through (2), (4) = 26,672.87 + 14,388.87 = 41,061.75 kgf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
V-8601 295
Applied Loads Radial load: Pr = 344.66 kgf Circumferential moment: Mc = 182.53 kgf-m Circumferential shear: Vc = 243.71 kgf Longitudinal moment: ML = 182.53 kgf-m Longitudinal shear: VL = 243.71 kgf Torsion moment: Mt = 257.99 kgf-m Internal pressure: P = 10.55 bar Mean shell radius: Rm = 1,005.5 mm Local shell thickness: t = 9 mm Shell yield stress: Sy = 1,988.45 kgf/cm2
Maximum stresses due to the applied loads at the pad edge (includes pressure) Rm / t = 1,005.5 / 9 = 111.7157 Pressure stress intensity factor, I = 1 (derived from PVP-Vol. 399, pages 77-82) Local circumferential pressure stress = I*P*Ri / t =1,196.764 kgf/cm2 Local longitudinal pressure stress = I*P*Ri / (2*t) =598.382 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 2,313.03 kgf/cm2 Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 1,366.06 kgf/cm2 Allowable local primary membrane (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The maximum local primary membrane stress (PL) is within allowable limits.
V-8601 296
Stresses at the pad edge per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 12.0903 0.1044 0 0 0 0 -46.051 -46.051 -46.051 -46.051
4C* 16.5186 0.1044 -62.925 -62.925 -62.925 -62.925 0 0 0 0
1C 0.0816 0.1044 0 0 0 0 -208.319 208.319 -208.319 208.319
2C-1 0.0486 0.1044 -124.092 124.092 -124.092 124.092 0 0 0 0
3A* 4.3835 0.1044 0 0 0 0 -84.228 -84.228 84.228 84.228
1A 0.0806 0.1044 0 0 0 0 -1,037.73 1,037.73 1,037.73 -
1,037.73
3B* 12.0899 0.1044 -232.224 -232.224 232.224 232.224 0 0 0 0
1B-1 0.0304 0.1044 -391.399 391.399 391.399 -391.399 0 0 0 0
Pressure stress* 1,196.764
1,196.764
1,196.764
1,196.764
1,196.764
1,196.764
1,196.764
1,196.764
Total circumferential stress 386.125 1,417.106 1,633.37 1,098.75
6 -179.564 2,312.535
2,064.351 405.53
Primary membrane circumferential stress* 901.616 901.616 1,366.06
3 1,366.063
1,066.485
1,066.485
1,234.941
1,234.941
3C* 12.0903 0.1044 -46.051 -46.051 -46.051 -46.051 0 0 0 0
4C* 16.5186 0.1044 0 0 0 0 -62.925 -62.925 -62.925 -62.925
1C-1 0.0799 0.1044 -203.96 203.96 -203.96 203.96 0 0 0 0
2C 0.0497 0.1044 0 0 0 0 -126.904 126.904 -126.904 126.904
4A* 7.7729 0.1044 0 0 0 0 -149.332 -149.332 149.332 149.332
2A 0.0411 0.1044 0 0 0 0 -529.2 529.2 529.2 -529.2
4B* 4.3636 0.1044 -83.806 -83.806 83.806 83.806 0 0 0 0
2B-1 0.0422 0.1044 -543.332 543.332 543.332 -543.332 0 0 0 0
Pressure stress* 598.382 598.382 598.382 598.382 598.382 598.382 598.382 598.382
Total longitudinal stress -278.767 1,215.817 975.508 296.765 -269.979 1,042.22
9 1,087.085 282.493
Primary membrane longitudinal stress* 468.525 468.525 636.137 636.137 386.125 386.125 684.789 684.789
Shear from Mt 31.708 31.708 31.708 31.708 31.708 31.708 31.708 31.708
Circ shear from Vc 7.171 7.171 -7.171 -7.171 0 0 0 0
Long shear from VL 0 0 0 0 -7.171 -7.171 7.171 7.171
Total Shear stress 38.88 38.88 24.537 24.537 24.537 24.537 38.88 38.88
Combined stress (PL+Pb+Q) 669.392 1,424.347
1,634.284 1,099.53 -276.236 2,313.02
7 2,065.898 416.779
Note: * denotes primary stress.
V-8601 297
Maximum stresses due to the applied loads at the nozzle OD (includes pressure) Rm / t = 1,005.5 / 24 = 41.8949 Pressure stress intensity factor, I = 0.37501 (derived from PVP-Vol. 399, pages 77-82) Local circumferential pressure stress = I*P*Ri / t =448.769 kgf/cm2 Local longitudinal pressure stress = I*P*Ri / (2*t) =224.42 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 1,649.47 kgf/cm2 Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 1,194.51 kgf/cm2 Allowable local primary membrane (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The maximum local primary membrane stress (PL) is within allowable limits.
Stresses at the nozzle OD per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 7.7799 0.0497 0 0 0 0 -11.108 -11.108 -11.108 -11.108
4C* 7.9979 0.0497 -11.39 -11.39 -11.39 -11.39 0 0 0 0
1C 0.1898 0.0497 0 0 0 0 -68.127 68.127 -68.127 68.127
2C-1 0.1504 0.0497 -53.996 53.996 -53.996 53.996 0 0 0 0
3A* 0.5841 0.0497 0 0 0 0 -8.859 -8.859 8.859 8.859
1A 0.1059 0.0497 0 0 0 0 -402.648 402.648 402.648 -402.648
3B* 2.4035 0.0497 -36.349 -36.349 36.349 36.349 0 0 0 0
1B-1 0.0587 0.0497 -223.154 223.154 223.154 -223.154 0 0 0 0
Pressure stress* 448.769 448.769 448.769 448.769 1,196.764 1,196.764 1,196.764 1,196.764
Total circumferential stress 123.881 678.18 642.886 304.569 706.022 1,647.572 1,529.034 859.994
Primary membrane circumferential stress* 401.031 401.031 473.728 473.728 1,176.797 1,176.797 1,194.514 1,194.514
3C* 7.7799 0.0497 -11.108 -11.108 -11.108 -11.108 0 0 0 0
4C* 7.9979 0.0497 0 0 0 0 -11.39 -11.39 -11.39 -11.39
1C-1 0.1934 0.0497 -69.463 69.463 -69.463 69.463 0 0 0 0
2C 0.1503 0.0497 0 0 0 0 -53.925 53.925 -53.925 53.925
4A* 0.801 0.0497 0 0 0 0 -12.093 -12.093 12.093 12.093
2A 0.0617 0.0497 0 0 0 0 -234.614 234.614 234.614 -234.614
4B* 0.6144 0.0497 -9.281 -9.281 9.281 9.281 0 0 0 0
2B-1 0.1007 0.0497 -382.891 382.891 382.891 -382.891 0 0 0 0
Pressure stress* 598.382 598.382 598.382 598.382 224.42 224.42 224.42 224.42
Total longitudinal stress 125.638 1,030.348 909.982 283.126 -87.602 489.477 405.811 44.434
Primary membrane longitudinal stress* 577.993 577.993 596.554 596.554 200.937 200.937 225.123 225.123
Shear from Mt 52.379 52.379 52.379 52.379 52.379 52.379 52.379 52.379
Circ shear from Vc 5.625 5.625 -5.625 -5.625 0 0 0 0
Long shear from VL 0 0 0 0 -5.625 -5.625 5.625 5.625
Total Shear stress 58.003 58.003 46.754 46.754 46.754 46.754 58.003 58.003
Combined stress (PL+Pb+Q) 182.798 1,039.628 917.927 341.832 799.108 1,649.47 1,531.987 864.072
Note: * denotes primary stress.
V-8601 298
Longitudinal stress in the nozzle wall due to internal pressure + external loads σn (Pm) = P*Ri / (2*tn) - Pr / (π*(Ro
2 - Ri2)) + M*Ro / I
= 10.55*1.02*49.66 / (2*5.8) - 344.66 / (π*(57.152 - 49.662))*100 + 258,134.2*57.15 / 3,600,702*100 = 442.049 kgf/cm2 The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤ S = 1,203.264 kgf/cm2) Shear stress in the nozzle wall due to external loads σshear = (VL
2 + Vc2)0.5 / (π*Ri*tn)*100
= (243.712 + 243.712)0.5 / (π*49.66*7.49)*100 = 29.504 kgf/cm2 σtorsion = Mt / (2*π*Ri
2*tn)*100000 = 258 / (2*π*49.662*7.49)*100000 = 222.346 kgf/cm2 σtotal = σshear + σtorsion = 29.504 + 222.346 = 251.85 kgf/cm2 UG-45: The total combined shear stress (251.85 kgf/cm2) is below than the allowable (0.7*Sn = 0.7*1,203.264 = 842.285 kgf/cm2) Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
13.0988 20.1145 -- 9.6219 -- 9.0526 1.44 5.27 11.8
UG-41 Weld Failure Path Analysis Summary (kgf) All failure paths are stronger than the applicable weld loads
Weld load W
Weld load W1-1
Path 1-1strength
Weld load W2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
15,761 24,203 44,663 18,179 60,663 29,072 50,653
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6 8.4 weld size is adequate
Pad to shell fillet (Leg42) 7.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 9.44 15 weld size is adequate
V-8601 299
Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(87.33, 43.66 + (13.49 - 0) + (15 - 0))= 87.33 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(13.49 - 0) + 15) = 37.5 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*43.66 / (1,180*1 - 0.6*17.6294)= 0.66 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*3,102.37 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 2,275 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.21 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 3,102.37 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 2,275 / (π*1,002.52*1,180*1.2) *
98066.5| = 6.09 mm
Area required per UG-37(c) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= (87.33*15*1 + 2*13.49*15*1*(1 - 1)) / 100= 13.0988 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (87.33*(1*15 - 1*15) - 2*13.49*(1*15 - 1*15)*(1 - 1)) / 100= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(15 + 13.49)*(1*15 - 1*15) - 2*13.49*(1*15 - 1*15)*(1 - 1)) / 100= 0 cm2
V-8601 300
A2 = smaller of the following= 9.6219 cm2
= 5*(tn - trn)*fr2*t = (5*(13.49 - 0.66)*1*15) / 100 = 9.6219 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(13.49 - 0.66)*(2.5*13.49 + 15)*1) / 100= 12.5006 cm2
A41 = Leg2*fr3
= (122*1) / 100 = 1.44 cm2
A42 = Leg2*fr4
= (02*1) / 100 = 0 cm2
(Part of the weld is outside of the limits) A5 = (Dp - d - 2*tn)*te*fr4
= ((174.65 - 87.33 - 2*13.49)*15*1) / 100 = 9.0526 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 9.6219 + 1.44 + 0 + 9.0526 = 20.1145 cm2
As Area >= A the reinforcement is adequate. UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 13.49 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 15 mm
tw(min) = 0.5*tmin = 7.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*43.66 / (1,180*1 - 0.6*17.6294) + 0= 0.66 mm
ta UG-22 = 2.3 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.66 , 2.3 ] = 2.3 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
V-8601 301
tb = min[ tb3 , tb1 ]
= min[ 5.27 , 15 ] = 5.27 mm
tUG-45 = max[ ta , tb ]
= max[ 2.3 , 5.27 ] = 5.27 mm
Available nozzle wall thickness new, tn = 0.875*13.49 = 11.8 mm The nozzle neck thickness is adequate. Allowable stresses in joints UG-45 and UW-15(c) Groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Nozzle wall in shear: 0.7*1,203.264 = 842.285 kgf/cm2
Inner fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Outer fillet weld in shear: 0.49*1,203.264 = 589.599 kgf/cm2
Upper groove weld in tension: 0.74*1,203.264 = 890.415 kgf/cm2
Strength of welded joints: (1) Inner fillet weld in shear (π / 2)*Nozzle OD*Leg*Si = (π / 2)*114.3*12*589.599 = 12,702.96 kgf (2) Outer fillet weld in shear (π / 2)*Pad OD*Leg*So = (π / 2)*240*12*589.599 = 26,672.87 kgf (3) Nozzle wall in shear (π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*100.81*13.49*842.285 = 17,989.63 kgf (4) Groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*114.3*15*890.415 = 23,980.07 kgf (6) Upper groove weld in tension (π / 2)*Nozzle OD*tw*Sg = (π / 2)*114.3*15*890.415 = 23,980.07 kgf Loading on welds per UG-41(b)(1) W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (1,309.8754 - 0 + 2*13.49*1*(1*15 - 1*15))*1,203.264= 15,761.28 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (962.1916 + 905.256 + 143.9997 + 0)*1,203.264= 24,203.05 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (962.1916 + 0 + 143.9997 + 0 + 2*13.49*15*1)*1,203.264= 18,179.09 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (962.1916 + 0 + 905.256 + 143.9997 + 0 + 0 + 2*13.49*15*1)*1,203.264= 29,071.72 kgf
V-8601 302
Load for path 1-1 lesser of W or W1-1 = 15,761.28 kgf Path 1-1 through (2) & (3) = 26,672.87 + 17,989.63 = 44,662.51 kgf Path 1-1 is stronger than W so it is acceptable per UG-41(b)(2). Load for path 2-2 lesser of W or W2-2 = 15,761.28 kgf Path 2-2 through (1), (4), (6) = 12,702.96 + 23,980.07 + 23,980.07 = 60,663.1 kgf Path 2-2 is stronger than W so it is acceptable per UG-41(b)(2). Load for path 3-3 lesser of W or W3-3 = 15,761.28 kgf Path 3-3 through (2), (4) = 26,672.87 + 23,980.07 = 50,652.94 kgf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2). Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
The opening is adequately reinforced
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
4.4699 17.0035 -- 3.1135 -- 12.6526 1.2374 7.5 11.8
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld size (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 5.24 8.4 weld size is adequate
Pad to shell fillet (Leg42) 4.5 8.4 weld size is adequate
Nozzle to pad groove (Upper) 5.24 15 weld size is adequate
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(99.33, 49.66 + (13.49 - 6) + (15 - 6))= 99.33 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(13.49 - 6) + 15) = 22.5 mm
Nozzle required thickness per UG-28 trn = 0.57 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*2,399.44 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 819.7 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.65 mm
V-8601 303
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 2,399.44 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 819.7 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.71 mm
Area required per UG-37(d)(1) Allowable stresses: Sn = 1,203.264, Sv = 1,203.264, Sp = 1,203.264 kgf/cm2 fr1 = lesser of 1 or Sn / Sv = 1 fr2 = lesser of 1 or Sn / Sv = 1 fr3 = lesser of fr2 or Sp / Sv = 1 fr4 = lesser of 1 or Sp / Sv = 1 A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= (0.5*(99.33*9*1 + 2*7.49*9*1*(1 - 1))) / 100= 4.4699 cm2
Area available from FIG. UG-37.1 A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (99.33*(1*9 - 1*9) - 2*7.49*(1*9 - 1*9)*(1 - 1)) / 100= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(9 + 7.49)*(1*9 - 1*9) - 2*7.49*(1*9 - 1*9)*(1 - 1)) / 100= 0 cm2
A2 = smaller of the following= 3.1135 cm2
= 5*(tn - trn)*fr2*t = (5*(7.49 - 0.57)*1*9) / 100 = 3.1135 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2 = (2*(7.49 - 0.57)*(2.5*7.49 + 15)*1) / 100= 4.6658 cm2
A41 = Leg2*fr3
= (11.122*1) / 100 = 1.2374 cm2
(Part of the weld is outside of the limits) A42 = Leg2*fr4
= (02*1) / 100 = 0 cm2
(Part of the weld is outside of the limits) A5 = (Dp - d - 2*tn)*te*fr4
= ((198.65 - 99.33 - 2*7.49)*15*1) / 100 = 12.6526 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 3.1135 + 1.2374 + 0 + 12.6526 = 17.0035 cm2
As Area >= A the reinforcement is adequate.
V-8601 304
UW-16(c)(2) Weld Check Inner fillet: tmin = lesser of 19 mm or tn or te = 7.49 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 5.24 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 9 mm
tw(min) = 0.5*tmin = 4.5 mm tw(actual) = 0.7*Leg = 0.7*12 = 8.4 mm
UG-45 Nozzle Neck Thickness Check ta UG-28 = 7.32 mm ta UG-22 = 7.32 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.57 , 7.32 ] = 7.32 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
tb = min[ tb3 , tb2 ]
= min[ 11.27 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 7.32 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*13.49 = 11.8 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 246.62 / 114.3 = 2.1576 Do / t = 114.3 / 0.57 = 200.8533From table G: A = 0.000209 From table CS-2 Metric: B = 210.3994 kg/cm2 (206.33 bar)Pa = 4*B / (3*(Do / t))
= 4*206.33 / (3*(114.3 / 0.57)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.57 + 6 = 6.57 mm
V-8601 305
Wash Water Inlet (N8) ASME Section VIII Division 1, 2010 Edition Metric
tw(lower) = 15 mm Leg41 = 12 mm Leg43 = 0 mm hnew = 0 mm
Note: round inside edges per UG-76(c) Located on: Shell Liquid static head included: 0.2686 bar
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40) (normalized)
Nozzle longitudinal joint efficiency: 1 Nozzle description: NPS 2 XX Heavy DN 50Flange description: NPS 2 Class 150 WN A105 Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32) Flange rated MDMT: -48°C (UCS-66(b)(3): Coincident ratio = 0.3042) (Flange rated MDMT = -105 °C (UCS-68(c) applies.) Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C) Liquid static head on flange: 0.2667 bar ASME B16.5-2003 flange rating MAWP: 15.8 bar @ 150°C ASME B16.5-2003 flange rating MAP: 19.6 bar @ 25°C ASME B16.5-2003 flange hydro test: 30 bar @ 25°C PWHT performed: Yes Circumferential joint radiography: Full UW-11(a) Type 1 Nozzle orientation: 90° Local vessel minimum thickness: 15 mm Nozzle center line offset to datum line: 4,550 mm End of nozzle to shell center: 1,255 mm Nozzle inside diameter, new: 38.18 mm Nozzle nominal wall thickness: 11.07 mm Nozzle corrosion allowance: 6 mm Projection available outside vessel, Lpr: 181.5 mm Projection available outside vessel to flange face, Lf: 245 mm
V-8601 306
Reinforcement Calculations for Internal Pressure The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 10.55 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 9.42 9.69
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.55 8.4 weld size is adequate
Calculations for internal pressure 10.55 bar @ 150 °C Fig UCS-66.2 general note (1) applies. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2312). External nozzle loadings per UG-22 govern the coincident ratio used. Nozzle UCS-66 governing thk: 9.69 mm Nozzle rated MDMT: -105 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(50.18, 25.09 + (11.07 - 6) + (15 - 6))= 50.18 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11.07 - 6) + 0) = 12.69 mm
Inner Normal Limit of reinforcement per UG-40 LI = MIN(2.5*(t - C), 2.5*(ti - Cn - C))
= MIN(2.5*(15 - 6), 2.5*(11.07 - 6 - 6)) = 0 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 10.5526*25.09 / (1,180*1 - 0.6*10.5526)= 0.23 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 10.5526*1,001 / (1,180*1 - 0.6*10.5526)= 9 mm
V-8601 307
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |10.5526*1,001 / (2*1,180*1.2 + 0.4*10.5526) - 0.6*3,110.99 / (2*π*1,005.5*1,180*1.2) * 98.0665 + 1,639.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.74 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |10.5526*1,001 / (2*1,180*1.2 + 0.4*10.5526) - 3,110.99 / (2*π*1,005.5*1,180*1.2) * 98.0665 - 1,639.8 /
(π*1,005.52*1,180*1.2) * 98066.5| = 3.65 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.55 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5526*25.09 / (1,180*1 - 0.6*10.5526) + 6= 6.23 mm
ta UG-22 = 6.95 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 6.23 , 6.95 ] = 6.95 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 10.5526*1,001 / (1,180*1 - 0.6*10.5526) + 6= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 7.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 9.42 , 15 ] = 9.42 mm
tUG-45 = max[ ta , tb ]
= max[ 6.95 , 9.42 ] = 9.42 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate.
V-8601 308
Applied Loads Radial load: Pr = 149.9 kgf Circumferential moment: Mc = 38.75 kgf-m Circumferential shear: Vc = 106.05 kgf Longitudinal moment: ML = 38.75 kgf-m Longitudinal shear: VL = 106.05 kgf Torsion moment: Mt = 55.06 kgf-m Internal pressure: P = 10.55 bar Mean shell radius: Rm = 1,005.5 mm Local shell thickness: t = 9 mm Shell yield stress: Sy = 1,988.45 kgf/cm2
Maximum stresses due to the applied loads at the nozzle OD (includes pressure) Rm / t = 1,005.5 / 9 = 111.7157 Pressure stress intensity factor, I = 1.19513 (derived from PVP-Vol. 399, pages 77-82) Local circumferential pressure stress = I*P*Ri / t =1,430.324 kgf/cm2 Local longitudinal pressure stress = I*P*Ri / (2*t) =715.162 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 2,490.27 kgf/cm2 Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 1,483.26 kgf/cm2 Allowable local primary membrane (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The maximum local primary membrane stress (PL) is within allowable limits.
V-8601 309
Stresses at the nozzle OD per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 23.3713 0.0262 0 0 0 0 -38.739 -38.739 -38.739 -38.739
4C* 21.1296 0.0262 -35.013 -35.013 -35.013 -35.013 0 0 0 0
1C 0.2234 0.0262 0 0 0 0 -248.043 248.043 -248.043 248.043
2C-1 0.1683 0.0262 -186.876 186.876 -186.876 186.876 0 0 0 0
3A* 1.4377 0.0262 0 0 0 0 -23.342 -23.342 23.342 23.342
1A 0.101 0.0262 0 0 0 0 -1,098.334
1,098.334
1,098.334
-1,098.334
3B* 5.423 0.0262 -87.954 -87.954 87.954 87.954 0 0 0 0
1B-1 0.0593 0.0262 -644.855 644.855 644.855 -644.855 0 0 0 0
Pressure stress* 1,430.324
1,430.324
1,430.324
1,430.324
1,196.764
1,196.764
1,196.764
1,196.764
Total circumferential stress 475.626 2,139.087
1,941.244
1,025.286 -211.694 2,481.06 2,031.65
8 331.075
Primary membrane circumferential stress*
1,307.357
1,307.357
1,483.265
1,483.265
1,134.683
1,134.683
1,181.367
1,181.367
3C* 23.3713 0.0262 -38.739 -38.739 -38.739 -38.739 0 0 0 0
4C* 21.1296 0.0262 0 0 0 0 -35.013 -35.013 -35.013 -35.013
1C-1 0.2161 0.0262 -239.887 239.887 -239.887 239.887 0 0 0 0
2C 0.1727 0.0262 0 0 0 0 -191.727 191.727 -191.727 191.727
4A* 1.7057 0.0262 0 0 0 0 -27.701 -27.701 27.701 27.701
2A 0.0622 0.0262 0 0 0 0 -676.352 676.352 676.352 -676.352
4B* 1.5224 0.0262 -24.678 -24.678 24.678 24.678 0 0 0 0
2B-1 0.1014 0.0262 -1,102.693
1,102.693
1,102.693
-1,102.693
0 0 0 0
Pressure stress* 598.382 598.382 598.382 598.382 715.162 715.162 715.162 715.162
Total longitudinal stress -807.615 1,877.546
1,447.127 -278.486 -215.631 1,520.52
7 1,192.475 223.224
Primary membrane longitudinal stress* 534.965 534.965 584.321 584.321 652.448 652.448 707.85 707.85
Shear from Mt 107.007 107.007 107.007 107.007 107.007 107.007 107.007 107.007
Circ shear from Vc 12.444 12.444 -12.444 -12.444 0 0 0 0
Long shear from VL 0 0 0 0 -12.444 -12.444 12.444 12.444
Total Shear stress 119.451 119.451 94.563 94.563 94.563 94.563 119.451 119.451
Combined stress (PL+Pb+Q) 1,305.318 2,185.42 1,958.75 1,317.41
1 -308.225 2,490.27 2,048.321 408.202
Note: * denotes primary stress.
V-8601 310
Longitudinal stress in the nozzle wall due to internal pressure + external loads σn (Pm) = P*Ri / (2*tn) - Pr / (π*(Ro
2 - Ri2)) + M*Ro / I
= 10.55*1.02*25.09 / (2*3.69) - 149.9 / (π*(30.162 - 25.092))*100 + 54,799.4*30.16 / 338,924.9*100 = 507.248 kgf/cm2 The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure + external loads is acceptable ( ≤ S = 1,203.264 kgf/cm2) Longitudinal stress in the nozzle wall due to external pressure + external loads σn (Pm) = ABS(P*Ri / (2*tn) - Pr / (π*(Ro
2 - Ri2)) - M*Ro / I)
= ABS(-1.03*1.02*25.09 / (2*3.69) - 149.9 / (π*(30.162 - 25.092)) - 54,799.4*30.16 / 338,924.9) = 508.291 kgf/cm2 The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to external pressure + external loads is acceptable ( ≤ S = 1,203.264 kgf/cm2) Shear stress in the nozzle wall due to external loads σshear = (VL
2 + Vc2)0.5 / (π*Ri*tn)*100
= (106.052 + 106.052)0.5 / (π*25.09*5.07)*100 = 37.499 kgf/cm2 σtorsion = Mt / (2*π*Ri
2*tn)*100000 = 55.1 / (2*π*25.092*5.07)*100000 = 274.393 kgf/cm2 σtotal = σshear + σtorsion = 37.499 + 274.393 = 311.892 kgf/cm2 UG-45: The total combined shear stress (311.892 kgf/cm2) is below than the allowable (0.7*Sn = 0.7*1,203.264 = 842.285 kgf/cm2) Reinforcement Calculations for MAP The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary (cm2) For P = 17.63 bar @ 25 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 3.42 9.69
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculations per UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 6 8.4 weld size is adequate
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Calculations for internal pressure 17.63 bar @ 25 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(38.18, 19.09 + (11.07 - 0) + (15 - 0))= 45.16 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 0), 2.5*(11.07 - 0) + 0) = 27.69 mm
Inner Normal Limit of reinforcement per UG-40 LI = MIN(2.5*(t - C), 2.5*(ti - Cn - C))
= MIN(2.5*(15 - 0), 2.5*(11.07 - 0 - 0)) = 27.69 mm
Nozzle required thickness per UG-27(c)(1) trn = P*Rn / (Sn*E - 0.6*P)
= 17.6294*19.09 / (1,180*1 - 0.6*17.6294)= 0.29 mm
Required thickness tr from UG-37(a) tr = P*R / (S*E - 0.6*P)
= 17.6294*995 / (1,180*1 - 0.6*17.6294) = 15 mm
Required thickness tr in longitudinal direction (windward) tr = P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 0.6*3,917.03 / (2*π*1,002.5*1,180*1.2) * 98.0665 + 3,616.6 /
(π*1,002.52*1,180*1.2) * 98066.5| = 6.23 mm
Required thickness tr in longitudinal direction (leeward) tr = P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |17.6294*995 / (2*1,180*1.2 + 0.4*17.6294) - 3,917.03 / (2*π*1,002.5*1,180*1.2) * 98.0665 - 3,616.6 / (π*1,002.52*1,180*1.2)
* 98066.5| = 6.06 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 11.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).
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UG-45 Nozzle Neck Thickness Check ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*19.09 / (1,180*1 - 0.6*17.6294) + 0= 0.29 mm
ta UG-22 = 1.69 mm ta = max[ ta UG-27 , ta UG-22 ]
= max[ 0.29 , 1.69 ] = 1.69 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion
= 17.6294*995 / (1,180*1 - 0.6*17.6294) + 0= 15 mm
tb1 = max[ tb1 , tb UG16 ]
= max[ 15 , 1.5 ]= 15 mm
tb = min[ tb3 , tb1 ]
= min[ 3.42 , 15 ] = 3.42 mm
tUG-45 = max[ ta , tb ]
= max[ 1.69 , 3.42 ] = 3.42 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate. Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2) For Pe = 1.37 bar @ 150 °C
UG-45 Nozzle Wall Thickness Summary (mm)The nozzle passes UG-45
A required
A available A1 A2 A3 A5
A welds treq tmin
This nozzle is exempt from area calculations per UG-36(c)(3)(a) 7.5 9.69
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required for external pressure
UW-16 Weld Sizing Summary
Weld description Required weld throat size (mm)
Actual weld throat size (mm) Status
Nozzle to shell fillet (Leg41) 3.55 8.4 weld size is adequate
V-8601 313
Calculations for external pressure 1.37 bar @ 150 °C Parallel Limit of reinforcement per UG-40 LR = MAX(d, Rn + (tn - Cn) + (t - C))
= MAX(50.18, 25.09 + (11.07 - 6) + (15 - 6))= 50.18 mm
Outer Normal Limit of reinforcement per UG-40 LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)
= MIN(2.5*(15 - 6), 2.5*(11.07 - 6) + 0) = 12.69 mm
Inner Normal Limit of reinforcement per UG-40 LI = MIN(2.5*(t - C), 2.5*(ti - Cn - C))
= MIN(2.5*(15 - 6), 2.5*(11.07 - 6 - 6)) = 0 mm
Nozzle required thickness per UG-28 trn = 0.39 mm From UG-37(d)(1) required thickness tr = 9 mm Required thickness tr in longitudinal direction (windward) tr = -P*R / (2*S*Ks + 0.4*P) - 0.6*W / (2*π*Rm*S*Ks) * 98.0665 + M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 0.6*3,110.99 / (2*π*1,005.5*874.0564*1.2) * 98.0665 + 1,639.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.63 mm
Required thickness tr in longitudinal direction (leeward) tr = -P*R / (2*S*Ks + 0.4*P) - W / (2*π*Rm*S*Ks) * 98.0665 - M / (π*Rm
2*S*Ks) * 98066.5
= |-1.3697*1,001 / (2*874.0564*1.2 + 0.4*1.3697) - 3,110.99 / (2*π*1,005.5*874.0564*1.2) * 98.0665 - 1,639.8 /
(π*1,005.52*874.0564*1.2) * 98066.5| = 0.75 mm
This opening does not require reinforcement per UG-36(c)(3)(a) UW-16(c) Weld Check Fillet weld: tmin = lesser of 19 mm or tn or t = 5.07 mm tc(min) = lesser of 6 mm or 0.7*tmin = 3.55 mm tc(actual) = 0.7*Leg = 0.7*12 = 8.4 mm The fillet weld size is satisfactory. Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e). UG-45 Nozzle Neck Thickness Check ta UG-28 = 6.87 mm ta UG-22 = 6.87 mm ta = max[ ta UG-28 , ta UG-22 ]
= max[ 6.39 , 6.87 ] = 6.87 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion
= 1.3697*1,001 / (1,180*1 - 0.6*1.3697) + 6= 7.16 mm
tb2 = max[ tb2 , tb UG16 ]
= max[ 7.16 , 7.5 ] = 7.5 mm
V-8601 314
tb = min[ tb3 , tb2 ]
= min[ 9.42 , 7.5 ] = 7.5 mm
tUG-45 = max[ ta , tb ]
= max[ 6.87 , 7.5 ] = 7.5 mm
Available nozzle wall thickness new, tn = 0.875*11.07 = 9.69 mm The nozzle neck thickness is adequate. External Pressure, (Corroded & at 150 °C) UG-28(c) L / Do = 245.45 / 60.32 = 4.0688 Do / t = 60.32 / 0.39 = 154.0723From table G: A = 0.000160 From table CS-2 Metric: B = 161.3873 kg/cm2 (158.27 bar)Pa = 4*B / (3*(Do / t))
= 4*158.27 / (3*(60.32 / 0.39)) = 1.37 bar
Design thickness for external pressure Pa = 1.37 bar ta = t + Corrosion = 0.39 + 6 = 6.39 mm
V-8601 315
Lifting and Tailing Lugs Calculation Design Conditions
(Maximum Conditions)
V-8601 316
Lifting Lug
Geometry Inputs
Attached To Shell
Material A 283 Gr.C
Distance of Lift Point From Datum 6,862 mm
Angular Position 90.00° and 270.00°
Length of Lug, L 400 mm
Width of Lug, B 300 mm
Thickness of Lug, t 22 mm
Hole Diameter, d 60 mm
Pin Diameter, Dp 30.28 mm
Lug Diameter at Pin, D 300 mm
Weld Size, tw 12 mm
Weld Length, b1 100 mm
Weld Length, d2 150 mm
Width of Pad, Bp 500 mm
Length of Pad, Lp 250 mm
Pad Thickness, tp 12 mm
Pad Weld Size, twp 12 mm
Weld Length, L3 200 mm
Load Angle from Vertical, φ 0.0000 °
Has Brace Plate No
V-8601 317
Intermediate Values
Load Factor 1.5000
Vessel Weight (new, incl. Load Factor), W 26900 kg
Lug Weight (new), Wlug 94 kg (Qty=2)
Distance from Center of Gravity to Top Lug, l1 5,578.73 mm
Distance from Center of Gravity to Tail Lug, l2 8,970.69 mm
Distance from Vessel Center Line to Tail Lug, l3 1,172 mm
Allowable Stress, Tensile, σt 1404.734 kg/cm²
Allowable Stress, Shear, σs 936.489 kg/cm²
Allowable Stress, Bearing, σp 2107.101 kg/cm²
Allowable Stress, Bending, σb 1560.893 kg/cm²
Allowable Stress, Weld Shear, τallowable 936.489 kg/cm²
Allowable Stress set to 1/3 Sy per ASME B30.20 No
Summary Values
Required Lift Pin Diameter, dreqd 30.24 mm
Required Lug Thickness, treqd 21.08 mm
Lug Stress Ratio, σratio 0.66
Weld Shear Stress Ratio, τratio 0.75
Lug Design Acceptable
Local Stresses Acceptable
Maximum Out of Plane Lift Angle - Weak Axis Bending 4.02°
COMPRESS recommends a spreader beam be used to prevent weak axis bending of the top lugs. No consideration is given for any bracing plate from the lug to the vessel. Lift Forces Lift force on lugs during rotational lift (0° ≤ α ≤ 90°): 2*Ftop = W*(l2*cos(α) + l3*sin(α)) / (l1*cos(α) + l2*cos(α) + l3*sin(α) )Ftail = W - (2*F)
V-8601 318
α [°] Ftop[kgf] Ftail[kgf]
0 8,292.7 10,314.2
15 8,401.7 10,096.3
30 8,521.9 9,855.9
45 8,677.2 9,545.3
60 8,924.2 9,051.4
75 9,484.8 7,930.1
90 13,449.9 0
111 8,372.2 10,155.2
92 8,357.7 10,184.3
123 8,379.6 10,140.6 1Lift angle at maximum lug stress. 2Lift angle at maximum weld stress. 3Lift angle at maximum pad weld stress.
Shell angle at lift lug 0.00° Lug Pin Diameter - Shear stress dreqd = (2*Fv / (π*σs))0.5
= (2*13,449.9 / (π*936.5))0.5 = 30.24 mm
dreqd / Dp = 30.24 / 30.28 = 1.00 Acceptable σ = Fv / A
= Fv / (2*(0.25*π*Dp2))
= 13,449.9 / (2*(0.25*π*30.282)) = 934.1 kg/cm2
σ / σs = 934.1 / 936.5 = 1 Acceptable Lug Thickness - Tensile stress treqd = Fv / ((D - d)*σt)
= 13,449.9 / ((300 - 60)*1,404.7) = 3.99 mm treqd / t = 3.99 / 22 = 0.18 Acceptable σ = Fv / A
= Fv / ((D - d)*t) = 13,449.9 / ((300 - 60)*22) = 254.7 kg/cm2
σ / σt = 254.7 / 1,404.7 = 0.18 Acceptable Lug Thickness - Bearing stress treqd = Fv / (Dp*σp)
= 13,449.9 / (30.28*2,107.1) = 21.08 mm
treqd / t = 21.08 / 22 = 0.96 Acceptable σ = Fv / Abearing
= Fv / (Dp*(t)) = 13,449.9 / (30.28*(22)) = 2,019.3 kg/cm2
σ / σp = 2,019.3 / 2,107.1 = 0.96 Acceptable
V-8601 319
Lug Thickness - Shear stress treqd = [Fv / σs] / (2*Lshear)
= (13,449.9 / 936.5) / (2*121.58) = 5.91 mm
treqd / t = 5.91 / 22 = 0.27 Acceptable τ = Fv / Ashear
= Fv / (2*t*Lshear ) = 13,449.9 / (2*22*121.58) = 251.4 kg/cm2
τ / σs = 251.4 / 936.5 = 0.27 Acceptable Shear stress length (per Pressure Vessel and Stacks, A. Keith Escoe)
φ
= 55*Dp / d
= 55*30.28 / 60 = 27.753° Z = 0.5*(D - d) + 0.5*Dp*(1 - cos(φ))
= 0.5*(300 - 60) + 0.5*30.28*(1 - cos(27.753)) = 121.74 mm Z1 = 0.5*D - sqr(0.25*D*D - (0.5*Dp*sin(φ))2)
= 0.5*300 - sqr(0.25*300*300 - (0.5*30.28*sin(27.753))2) = 0.17 mm Lshear = Z - Z1 = 121.58 mm Lug Plate Stress Lug stress, tensile + bending, during rotational lift: σ ratio = [Ften / (Aten*σt)] + [Mbend / (Zbend*σb)] ≤ 1
= [(Ftop(α)*sin(α) ) / (t*B*σt)] + [(6*Ftop(α) *L*cos(α) ) / (t*B2 * σb)] ≤ 1= 8,372.2*sin(11.0) / (22*300*1,404.7) + 6*(8,372.2)*400*cos(11.0) / (22*3002*1,560.9)= 0.66 Acceptable
Weak Axis Bending Stress Maximum lift cable angle from vertical θ = 4.02°
σb = M / Z = (F*sin(θ)* L1) / Z F*cos(θ) = 0.5*W => F = 0.5*W / cos(θ) θ = arctan( (2*σb*Z ) / (W* L1) ) θ = arctan( (2*1,560.9*(300*222/6) ) / (26,899.7*400*100) ) = 4.02°
V-8601 320
Weld Stress
Weld stress, direct and torsional shear, during rotational lift: Direct shear: Maximum weld shear stress occurs at lift angle 9.00°; lift force = 8,357.7 kgf Aweld = A1 + A2 + A3
= 0.707*tw*((d1 + b1) + (2*d2 + b2) + (d3 + b3)) = 0.707*12*((200 + 100) + (2*150 + 100) + (200 + 100))= 2,545.2 + 3,393.6 + 2,545.2 = 8,484 mm2
τt = Fr*cos(α) / Aweld = 8,357.7*cos(9.0) / 8,484 = 97.3 kg/cm2 τs = Fr*sin(α) / Aweld = 8,357.7*sin(9.0) / 8,484 = 15.4 kg/cm2 Torsional shear: Weld centroid: Weld areas Ai = 0.707*tw*Li A1 = 0.707*12*200 = 1,696.8 mm2
A2 = 0.707*12*100 = 848.4 mm2 A3 = 0.707*12*150 = 1,272.6 mm2
A4 = 0.707*12*100 = 848.4 mm2 A5 = 0.707*12*150 = 1,272.6 mm2
A6 = 0.707*12*100 = 848.4 mm2 A7 = 0.707*12*200 = 1,696.8 mm2
Aweld torsion = Σ Ai = 8,484 mm2 Weld centroid locations x1 = 0 mm y1 = 100 mm x2 = 50 mm y2 = 0 mm x3 = 100 mm y3 = 75 mm x4 = 150 mm y4 = 150 mm x5 = 200 mm y5 = 75 mm x6 = 250 mm y6 = 0 mm x7 = 300 mm y7 = 100 mm Xbar = Σ (Ai*xi) / ΣAi Ybar = Σ (Ai*yi) / ΣAi Xbar = (1,696.8*0 + 848.4*50 + 1,272.6*100 + 848.4*150 + 1,272.6*200 + 848.4*250 + 1,696.8*300 ) / 8,484 = 150 mm Ybar = (1,696.8*100 + 848.4*0 + 1,272.6*75 + 848.4*150 + 1,272.6*75 + 848.4*0 + 1,696.8*100 ) / 8,484 = 77.5 mm
V-8601 321
Radius to centroid locations ri = sqr((Xbar - xi)2 + (Ybar - yi)2 ) r1 = sqr( (150 - 0)2 + (77.5 - 100)2 ) = 151.68 mm r2 = sqr( (150 - 50)2 + (77.5 - 0)2 ) = 126.52 mm r3 = sqr( (150 - 100)2 + (77.5 - 75)2 ) = 50.06 mm r4 = sqr( (150 - 150)2 + (77.5 - 150)2 ) = 72.5 mm r5 = sqr( (150 - 200)2 + (77.5 - 75)2 ) = 50.06 mm r6 = sqr( (150 - 250)2 + (77.5 - 0)2 ) = 126.52 mm r7 = sqr( (150 - 300)2 + (77.5 - 100)2 ) = 151.68 mm Polar Moment of Area Ji = 0.707*tw*(Li
3) / 12 J1 = 0.707*12*(2003) / 12 = 5656000 mm4
J2 = 0.707*12*(1003) / 12 = 707000 mm4 J3 = 0.707*12*(1503) / 12 = 2386125 mm4
J4 = 0.707*12*(1003) / 12 = 707000 mm4 J5 = 0.707*12*(1503) / 12 = 2386125 mm4
J6 = 0.707*12*(1003) / 12 = 707000 mm4 J7 = 0.707*12*(2003) / 12 = 5656000 mm4
J = Σ (Ji + Ai*ri2) Parallel axis theorem
J = [5656000.0000 + 1,696.8*(151.68)2 + (707000.0000 + 848.4*(126.52)2) + (2386125.0000 + 1,272.6*(50.06)2) + (707000.0000 + 848.4*(72.5)2) + (2386125.0000 + 1,272.6*(50.06)2) + (707000.0000 + 848.4*(126.52)2) + (5656000.0000 + 1,696.8*(151.68)2) ] = 134276976 mm4
Radial distance from centroid to weld: r = sqr( Xbar
2 + (L3 - Ybar)2 ) = sqr( 1502 + (200 - 77.5)2 ) = 193.67 mm
θr = arctan( (L3 - Ybar) / (Xbar) )
= arctan( 122.5 / 150 ) = 39.24° τ 2 = M * r / J
= [F(α)*cos(α)*(L + L3 - Ybar)] * r / J = (8,357.7*cos(9.0)*522.5)*193.67 / 134276975.0000 = 622.1 kg/cm2
τ ratio = sqr( (τt + τ2*sin(θr))2 + (τs + τ2*cos(θr))2 ) / τallowable ≤ 1
= sqr ( (97.3 + 622.1*sin(39.24))2 + (15.4 + 622.1*cos(39.24) )2 ) / 936.5 = 0.75 Acceptable
Pad Weld Stress Direct shear: Maximum weld shear stress occurs at lift angle 12.00°; lift force = 8,379.6 kgf Aweld = 0.707*twp*(2*Lp + Bp)
= 0.707*12*(2*250 + 500) = 8,484 mm2 τt = Fr*cos(α) / Aweld = 8,379.6*cos(12.0) / 8,484 = 96.6 kg/cm2 τs = Fr*sin(α) / Aweld = 8,379.6*sin(12.0) / 8,484 = 20.5 kg/cm2 Torsional shear: Weld centroid: Ybarp = Lp
2 / (2*Lp + Bp) = 2502 / (2*250 + 500) = 62.5 mm
V-8601 322
Second polar moment of area: Jp = 0.707*twp*((8*Lp
3 + 6*Lp*Bp2 + Bp
3) / 12 - Lp4 / (2*Lp + Bp))
= 0.707*12* ( (8*2503 + 6*250*5002 + 5003) / 12 - 2504 / (2*250 + 500)) = 408734368 mm4
Radial distance from centroid to weld: rp = sqr( (Xbarp)2 + (Lp - Ybarp)2 )
= sqr( (0.5*500)2 + (250 - 62.5)2 ) = 312.5 mm θr = arctan( (Lp - Ybarp) / (Xbarp) )
= arctan( 187.5 / 250 ) = 36.87° τ 2 = M * rp / Jp
= [F(α)*cos(α)*(L + Lp - Ybarp)] * rp / Jp = (8,379.6*cos(12.0)*587.5)*312.5 / 408734375.0000 = 368.2 kg/cm2
τ ratio = sqr( (τt + τ2*sin(θr))2 + (τs + τ2*cos(θr))2 ) / τallowable ≤ 1
= sqr ( (96.6 + 368.2*sin(36.87))2 + (20.5 + 368.2*cos(36.87) )2 ) / 936.5 = 0.48 Acceptable
WRC 107 Analysis Geometry
Applied Loads Maximum stress ratio occurs at lift angle = 90.00° with lift force = 13,449.9 kgf Radial load: Pr = 0 kgf Circumferential moment: Mc = 0 kgf-m Circumferential shear: Vc = 0 kgf Longitudinal moment: ML = 309.35 kgf-m Longitudinal shear: VL = 13,449.88 kgf Torsion moment: Mt = 0 kgf-m Internal pressure: P = 0 bar Mean shell radius: Rm = 1,002.5 mm Shell yield stress: Sy = 2,253.57 kgf/cm2
Maximum stresses due to the applied loads at the lug edge (includes pressure) Rm / t = 1,002.5 / 27 = 37.1296 C1 = 162, C2 = 112 mm Local circumferential pressure stress = P*Ri / t =0 kgf/cm2 Local longitudinal pressure stress = P*Ri / (2*t) =0 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 222.45 kgf/cm2 Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = -33.18 kgf/cm2 Allowable local primary membrane (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The maximum local primary membrane stress (PL) is within allowable limits.
Height(radial): 22 mm Pad Thickness: 12 mmWidth (circumferential): 300 mm Pad Width: 500 mmLength 200 mm Pad Length: 250 mmFillet Weld Size: 12 mm Pad Weld Size: 12 mmLocated on: Shell (200 mm from top end)Location Angle: 90.00° and 270.00°
V-8601 323
Stresses at the lug edge per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 4.9577 0.1326 0 0 0 0 0 0 0 0
4C* 5.8876 0.148 0 0 0 0 0 0 0 0
1C 0.0947 0.1496 0 0 0 0 0 0 0 0
2C-1 0.0597 0.1496 0 0 0 0 0 0 0 0
3A* 1.3763 0.1429 0 0 0 0 0 0 0 0
1A 0.0851 0.1644 0 0 0 0 0 0 0 0
3B* 4.0505 0.1264 -33.185 -33.185 33.185 33.185 0 0 0 0
1B-1 0.0406 0.1323 -77.97 77.97 77.97 -77.97 0 0 0 0
Pressure stress* 0 0 0 0 0 0 0 0
Total circumferential stress -111.155 44.786 111.155 -44.786 0 0 0 0
Primary membrane circumferential stress* -33.185 -33.185 33.185 33.185 0 0 0 0
3C* 4.5728 0.148 0 0 0 0 0 0 0 0
4C* 6.0855 0.1326 0 0 0 0 0 0 0 0
1C-1 0.1059 0.1384 0 0 0 0 0 0 0 0
2C 0.0679 0.1384 0 0 0 0 0 0 0 0
4A* 2.2579 0.1429 0 0 0 0 0 0 0 0
2A 0.0468 0.1525 0 0 0 0 0 0 0 0
4B* 1.255 0.1264 -9.421 -9.421 9.421 9.421 0 0 0 0
2B-1 0.0624 0.1325 -119.592 119.592 119.592 -119.592 0 0 0 0
Pressure stress* 0 0 0 0 0 0 0 0
Total longitudinal stress -129.013 110.171 129.013 -110.171 0 0 0 0
Primary membrane longitudinal stress* -9.421 -9.421 9.421 9.421 0 0 0 0
Shear from Mt 0 0 0 0 0 0 0 0
Circ shear from Vc 0 0 0 0 0 0 0 0
Long shear from VL 0 0 0 0 -111.226 -111.226 111.226 111.226
Total Shear stress 0 0 0 0 -111.226 -111.226 111.226 111.226
Combined stress (PL+Pb+Q) -129.013 110.171 129.013 -110.171 222.451 222.451 222.451 222.451
Note: * denotes primary stress. Maximum stresses due to the applied loads at the pad edge (includes pressure) Rm / t = 1,002.5 / 15 = 66.8333 C1 = 262, C2 = 137 mm Local circumferential pressure stress = P*Ri / t =0 kgf/cm2 Local longitudinal pressure stress = P*Ri / (2*t) =0 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 327.21 kgf/cm2 Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = -74.17 kgf/cm2 Allowable local primary membrane (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The maximum local primary membrane stress (PL) is within allowable limits.
V-8601 324
Stresses at the pad edge per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 5.1421 0.1838 0 0 0 0 0 0 0 0
4C* 7.681 0.2281 0 0 0 0 0 0 0 0
1C 0.066 0.2327 0 0 0 0 0 0 0 0
2C-1 0.0193 0.2327 0 0 0 0 0 0 0 0
3A* 2.467 0.2106 0 0 0 0 0 0 0 0
1A 0.0615 0.2393 0 0 0 0 0 0 0 0
3B* 6.5128 0.1696 -74.174 -74.174 74.174 74.174 0 0 0 0
1B-1 0.0223 0.1804 -101.734 101.734 101.734 -101.734 0 0 0 0
Pressure stress* 0 0 0 0 0 0 0 0
Total circumferential stress -175.908 27.56 175.908 -27.56 0 0 0 0
Primary membrane circumferential stress* -74.174 -74.174 74.174 74.174 0 0 0 0
3C* 3.8341 0.2281 0 0 0 0 0 0 0 0
4C* 8.7253 0.1838 0 0 0 0 0 0 0 0
1C-1 0.0518 0.2005 0 0 0 0 0 0 0 0
2C 0.034 0.2005 0 0 0 0 0 0 0 0
4A* 5.9002 0.2106 0 0 0 0 0 0 0 0
2A 0.0305 0.2046 0 0 0 0 0 0 0 0
4B* 2.6399 0.1696 -23.131 -23.131 23.131 23.131 0 0 0 0
2B-1 0.0334 0.1744 -157.558 157.558 157.558 -157.558 0 0 0 0
Pressure stress* 0 0 0 0 0 0 0 0
Total longitudinal stress -180.689 134.427 180.689 -134.427 0 0 0 0
Primary membrane longitudinal stress* -23.131 -23.131 23.131 23.131 0 0 0 0
Shear from Mt 0 0 0 0 0 0 0 0
Circ shear from Vc 0 0 0 0 0 0 0 0
Long shear from VL 0 0 0 0 -163.604 -163.604 163.604 163.604
Total Shear stress 0 0 0 0 -163.604 -163.604 163.604 163.604
Combined stress (PL+Pb+Q) -180.689 134.427 180.689 -134.427 327.208 327.208 327.208 327.208
Note: * denotes primary stress.
V-8601 325
Tailing Lug
Geometry Inputs
Attached To Skirt Base Ring
Material A 283 Gr.C
Orientation Longitudinal
Distance of Lift Point From Datum -7,687.41 mm
Angular Position 180.00°
Length of Lug, L 250 mm
Height of Lug, H 200 mm
Thickness of Lug, t 26 mm
Hole Diameter, d 36.73 mm
Pin Diameter, Dp 26.48 mm
Load Eccentricity, a1 0 mm
Distance from Load to Shell or Pad, a2 150 mm
Weld Size, tw 15 mm
Width of Pad, Bp 100 mm
Length of Pad, Lp 310 mm
Pad Thickness, tp 12 mm
Pad Weld Size, twp 12 mm
Load Angle Normal to Vessel, β 0.0000 °
Load Angle from Vertical, φ -90.0000 °
V-8601 326
Intermediate Values
Load Factor 1.5000
Vessel Weight (new, incl. Load Factor), W 26900 kg
Lug Weight (new), Wlug 14 kg
Distance from Center of Gravity to Top Lug, l1 5,578.69 mm
Distance from Center of Gravity to Tail Lug, l2 8,970.73 mm
Distance from Vessel Center Line to Tail Lug, l3 1,172 mm
Allowable Stress, Tensile, σt 1404.734 kg/cm²
Allowable Stress, Shear, σs 936.489 kg/cm²
Allowable Stress, Bearing, σp 2107.101 kg/cm²
Allowable Stress, Bending, σb 1560.893 kg/cm²
Allowable Stress, Weld Shear, τallowable 936.489 kg/cm²
Allowable Stress set to 1/3 Sy per ASME B30.20 No
Summary Values
Required Lift Pin Diameter, dreqd 26.48 mm
Required Lug Thickness, treqd 18.49 mm
Lug Stress Ratio, σratio 0.12
Weld Shear Stress Ratio, τratio 0.15
Lug Design Acceptable
Local Stresses Unacceptable
Base ring loading Acceptable
Lift Forces Lift force on lugs during rotational lift (0° ≤ α ≤ 90°): 2*Ftop = W*(l2*cos(α) + l3*sin(α)) / (l1*cos(α) + l2*cos(α) + l3*sin(α) )Ftail = W - (2*F)
V-8601 327
α [°] Ftop[kgf] Ftail[kgf]
0 8,292.9 10,314.3
15 8,401.8 10,096.4
30 8,522.1 9,855.9
45 8,677.3 9,545.4
60 8,924.3 9,051.5
75 9,484.9 7,930.2
90 13,450 0
151 8,401.8 10,096.4
482 8,716.4 9,467.3
503 8,744.6 9,410.9 1Lift angle at maximum lug stress. 2Lift angle at maximum weld stress. 3Lift angle at maximum pad weld stress. Lug Pin Diameter - Shear stress dreqd = (2*Fr / (π*σs))0.5
= (2*10,314.3 / (π*936.5))0.5 = 26.48 mm
dreqd / Dp = 26.48 / 26.48 = 1.00 Acceptable σ = Fr / A
= Fr / (2*(0.25*π*Dp2))
= 10,314.3 / (2*(0.25*π*26.482)) = 936.5 kg/cm2
σ / σs = 936.5 / 936.5 = 1 Acceptable Lug Thickness - Tensile stress treqd = Fr / ((L - d)*σt)
= 10,314.3 / ((250 - 36.73)*1,404.7) = 3.44 mm treqd / t = 3.44 / 26 = 0.13 Acceptable σ = Fr / A
= Fr / ((L - d)*t) = 10,314.3 / ((250 - 36.73)*26) = 186 kg/cm2
σ / σt = 186 / 1,404.7 = 0.13 Acceptable Lug Thickness - Bearing stress treqd = Fv / (Dp*σp)
= 10,314.3 / (26.48*2,107.1) = 18.49 mm
treqd / t = 18.49 / 26 = 0.71 Acceptable σ = Fv / Abearing
= Fv / (Dp*(t)) = 10,314.3 / (26.48*(26)) = 1,498.2 kg/cm2
σ / σp = 1,498.2 / 2,107.1 = 0.71 Acceptable
V-8601 328
Lug Thickness - Shear stress treqd = [Fv / σs] / (2*Lshear)
= (10,314.3 / 936.5) / (2*34.68) = 15.88 mm
treqd / t = 15.88 / 26 = 0.61 Acceptable τ = Fv / Ashear
= Fv / (2*t*Lshear ) = 10,314.3 / (2*26*34.68) = 572 kg/cm2
τ / σs = 572 / 936.5 = 0.61 Acceptable Shear stress length (per Pressure Vessel and Stacks, A. Keith Escoe)
φ
= 55*Dp / d
= 55*26.48 / 36.73 = 39.6461° Lshear = (H - a2 - 0.5*d) + 0.5*Dp*(1 - cos(φ))
= (200 - 150 - 0.5*36.73) + 0.5*26.48*(1 - cos(39.6461)) = 34.68 mm Lug Plate Stress Lug stress tensile + bending during lift:σ ratio = [Ften / (Aten*σt)] + [Mbend / (Zbend*σb)] ≤ 1
= [(Ftail(α)*cos(α) ) / (t*L*σt)] + [(6*abs(Ftail(α)*sin(α)*Hght - Ftail(α)*cos(α)*a1) ) / (t*L2*σb)] ≤ 1 = 10,096.4*cos(15.0) / (26*250*1,404.7) + 6*abs(10,096.4*sin(15.0)*16.65 - 10,096.4*cos(15.0)*0) / (26*2502*1,560.9)= 0.12 Acceptable
Weld Stress
] Weld stress, tensile, bending and shear during lift: Direct shear: Maximum shear stress occurs at lift angle 48.00°; lift force = 9,467.3 kgf Aweld = 2*(0.707)*tw*(d1 + b1 + d2 + b2 + d3 + b3 + t)
= 2*(0.707)*15*(134.59 + 244.48 + 133.35 + 41.28 + 133.35 + -35.75 + 26) = 14,365.27 mm2
τt = Ftail*cos(α) / Aweld = 9,467.3*cos(48.0) / 14,365.27 = 44.1 kg/cm2 τs = Ftail*sin(α) / Aweld = 9,467.3*sin(48.0) / 14,365.27 = 49 kg/cm2
V-8601 329
Torsional shear: Weld areas Ai = 0.707*tw*Li A1 = 0.707*15*134.59 = 1,427.3 mm2 A2 = 0.707*15*244.48 = 2,592.66 mm2 A3 = 0.707*15*133.35 = 1,414.18 mm2 A4 = 0.707*15*41.28 = 437.72 mm2 A5 = 0.707*15*133.35 = 1,414.18 mm2 Aweld torsion = Σ Ai = 6,906.9 mm2 Weld centroid locations x1 = 0 mm y1 = 67.29 mm x2 = 122.24 mm y2 = 0 mm x3 = 244.48 mm y3 = 66.67 mm x4 = 265.11 mm y4 = 133.35 mm x5 = 285.75 mm y5 = 66.67 mm Xbar = Σ (Ai*xi) / ΣAi Ybar = Σ (Ai*yi) / ΣAi Xbar = (1,427.3*0 + 2,592.66*122.24 + 1,414.18*244.48 + 437.72*265.11 + 1,414.18*285.75 ) / 6,906.9 = 156.54 mm Ybar = (1,427.3*67.29 + 2,592.66*0 + 1,414.18*66.67 + 437.72*133.35 + 1,414.18*66.67 ) / 6,906.9 = 49.66 mm Radius to centroid locations ri = sqr((Xbar - xi)2 + (Ybar - yi)2 ) r1 = sqr( (156.54 - 0)2 + (49.66 - 67.29)2 ) = 157.53 mm r2 = sqr( (156.54 - 122.24)2 + (49.66 - 0)2 ) = 60.36 mm r3 = sqr( (156.54 - 244.48)2 + (49.66 - 66.67)2 ) = 89.56 mm r4 = sqr( (156.54 - 265.11)2 + (49.66 - 133.35)2 ) = 137.08 mm r5 = sqr( (156.54 - 285.75)2 + (49.66 - 66.67)2 ) = 130.32 mm Radial distance from centroid to weld: r = sqr( ΔX2 + ΔY2 )
= sqr( 156.542 + 84.932 ) = 178.1 mm θr = arctan( ΔY / ΔX )
= arctan( 84.93 / 156.54 ) = 28.48° Polar Moment of Area Ji = 0.707*tw*(Li
3) / 12 J1 = 0.707*15*(134.593) / 12 = 2154485.75 mm4 J2 = 0.707*15*(244.483) / 12 = 12913168 mm4 J3 = 0.707*15*(133.353) / 12 = 2095599.5 mm4 J4 = 0.707*15*(41.283) / 12 = 62142.7773 mm4 J5 = 0.707*15*(133.353) / 12 = 2095599.5 mm4 J = 2*Σ (Ji + Ai*ri
2) Parallel axis theorem (weld on both sides of lug)
J = 2*[2154485.6459 + 1,427.3*(157.53)2 + (12913167.7022 + 2,592.66*(60.36)2) + (2095599.4614 + 1,414.18*(89.56)2) + (62142.7793 + 437.72*(137.08)2) + (2095599.4614 + 1,414.18*(130.32)2) ] = 215467808 mm4
Secondary shear τ 2 = M * r / J = [F(α)*cos(α)*(X - Xbar) - F(α)*sin(α)*(Y - Ybar)] * r / J
= (9,467.3*cos(48.0)*(125 - 156.54) - 9,467.3*sin(48.0)*(150 - 49.66) )*178.1 / 215467814.9101 = -74.9 kg/cm2
τ ratio = sqr( (τt - τ2*cos(θr))2 + (τs - τ2*sin(θr))2 ) / τallowable ≤ 1
= sqr ( (44.1 - 74.9*cos(28.48))2 + (49 - 74.9*sin(28.48) )2 ) / 936.5 = 0.15 Acceptable
V-8601 330
Pad Weld Stress, tensile, bending and shear during lift: Direct shear: Maximum shear stress occurs at lift angle 50.00°; lift force = 9,410.9 kgf Aweld = 2*(0.707)*twp*(Lp + Bp)
= 2*(0.707)*12*(310 + 100) = 6,956.88 mm2 τt = Ftail*cos(α) / Aweld = 9,410.9*cos(50.0) / 6,956.88 = 87 kg/cm2 τs = Ftail*sin(α) / Aweld = 9,410.9*sin(50.0) / 6,956.88 = 103.6 kg/cm2 τb = M * c / I
= 3*(Ftail*sin(α)*Hght - Ftail*cos(α)*Δa) / (0.707*hp*Lp*(3*Wp + Lp)) = 3*abs(9,410.9*sin(50.0)*162 - 9,410.9*cos(50.0)*(-30)) / (1604324.4000)= 252.3 kg/cm2
τ ratio = sqr( (τt + τb)2 + τs
2 ) / τallowable ≤ 1= sqr ( (87 + 252.3)2 + (103.6)2 ) / 936.5 = 0.38 Acceptable
WRC 107 Analysis Geometry
Applied Loads Maximum stress ratio occurs at lift angle = 0.00° with lift force = 10,314.3 kgf Radial load: Pr = -10,314.3 kgf Circumferential moment: Mc = 0 kgf-m Circumferential shear: Vc = 0 kgf Longitudinal moment: ML = 0 kgf-m Longitudinal shear: VL = 0 kgf Torsion moment: Mt = 0 kgf-m Internal pressure: P = 0 bar Mean shell radius: Rm = 1,005 mm Shell yield stress: Sy = 2,253.57 kgf/cm2
Maximum stresses due to the applied loads at the lug edge (includes pressure) Rm / t = 1,005 / 22 = 45.6818 C1 = 28, C2 = 112 mm Note: Actual lug C1 / C2 < 1 / 4, C1 / C2 = 1 / 4 used as this is the minimum ratio covered by WRC 107. Local circumferential pressure stress = P*Ri / t =0 kgf/cm2 Local longitudinal pressure stress = P*Ri / (2*t) =0 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 2,743.52 kgf/cm2 Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,609.79 kgf/cm2 The maximum combined stress (PL+Pb+Q) is within allowable limits. Maximum local primary membrane stress (PL) = 391.89 kgf/cm2 Allowable local primary membrane (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The maximum local primary membrane stress (PL) is within allowable limits.
Height(radial): 200 mm Pad Thickness: 12 mmWidth (circumferential): 26 mm Pad Width: 100 mmLength 250 mm Pad Length: 310 mmFillet Weld Size: 15 mm Pad Weld Size: 12 mmLocated on: Skirt Base Ring (27 mm from bottom end)Location Angle: 180.00°
V-8601 331
Stresses at the lug edge per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 7.4176 0.0825 0 0 0 0 346.051 346.051 346.051 346.051
4C* 8.4013 0.0669 391.891 391.891 391.891 391.891 0 0 0 0
1C 0.1875 0.049 0 0 0 0 2,397.465 -2,397.465 2,397.465 -
2,397.465
2C-1 0.1475 0.049 1,885.983 -1,885.983 1,885.983 -
1,885.983 0 0 0 0
3A* 0.5731 0.0442 0 0 0 0 0 0 0 0
1A 0.1045 0.0552 0 0 0 0 0 0 0 0
3B* 3.9895 0.0702 0 0 0 0 0 0 0 0
1B-1 0.0553 0.0607 0 0 0 0 0 0 0 0
Pressure stress* 0 0 0 0 0 0 0 0
Total circumferential stress 2,277.873 -1,494.092 2,277.873 -
1,494.092 2,743.516 -2,051.415 2,743.516 -
2,051.415
Primary membrane circumferential stress* 391.891 391.891 391.891 391.891 346.051 346.051 346.051 346.051
3C* 7.8762 0.0669 367.424 367.424 367.424 367.424 0 0 0 0
4C* 8.1594 0.0825 0 0 0 0 380.642 380.642 380.642 380.642
1C-1 0.1544 0.0697 1,974.218 -1,974.218 1,974.218 -
1,974.218 0 0 0 0
2C 0.1128 0.0697 0 0 0 0 1,442.276 -1,442.276 1,442.276 -
1,442.276
4A* 0.7782 0.0442 0 0 0 0 0 0 0 0
2A 0.058 0.0728 0 0 0 0 0 0 0 0
4B* 1.0479 0.0702 0 0 0 0 0 0 0 0
2B-1 0.0782 0.084 0 0 0 0 0 0 0 0
Pressure stress* 0 0 0 0 0 0 0 0
Total longitudinal stress 2,341.642 -1,606.794 2,341.642 -
1,606.794 1,822.917 -1,061.634 1,822.917 -
1,061.634
Primary membrane longitudinal stress* 367.424 367.424 367.424 367.424 380.642 380.642 380.642 380.642
Shear from Mt 0 0 0 0 0 0 0 0
Circ shear from Vc 0 0 0 0 0 0 0 0
Long shear from VL 0 0 0 0 0 0 0 0
Total Shear stress 0 0 0 0 0 0 0 0
Combined stress (PL+Pb+Q) 2,341.642 -1,606.794 2,341.642 -
1,606.794 2,743.516 -2,051.415 2,743.516 -
2,051.415
Note: * denotes primary stress.
V-8601 332
Maximum stresses due to the applied loads at the pad edge (includes pressure) Rm / t = 1,005 / 10 = 100.5 C1 = 62, C2 = 167 mm Local circumferential pressure stress = P*Ri / t =0 kgf/cm2 Local longitudinal pressure stress = P*Ri / (2*t) =0 kgf/cm2 Maximum combined stress (PL+Pb+Q) = 6,747.35 kgf/cm2 Allowable combined stress (PL+Pb+Q) = +-3*S = +-3,609.79 kgf/cm2 WRC-107: The combined stress (PL+Pb+Q) is excessive (at pad edge) Maximum local primary membrane stress (PL) = 1,496.2 kgf/cm2 Allowable local primary membrane (PL) = +-1.5*S = +-1,804.9 kgf/cm2 The maximum local primary membrane stress (PL) is within allowable limits.
Stresses at the pad edge per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 8.3992 0.142 0 0 0 0 862.033 862.033 862.033 862.033
4C* 14.5783 0.1182 1,496.201 1,496.201 1,496.201 1,496.201 0 0 0 0
1C 0.0951 0.0911 0 0 0 0 5,885.32 -5,885.32 5,885.32 -5,885.32
2C-1 0.0609 0.0911 3,768.872 -3,768.872 3,768.872 -
3,768.872 0 0 0 0
3A* 3.5908 0.0858 0 0 0 0 0 0 0 0
1A 0.0846 0.0946 0 0 0 0 0 0 0 0
3B* 10.674 0.1194 0 0 0 0 0 0 0 0
1B-1 0.0322 0.1029 0 0 0 0 0 0 0 0
Pressure stress* 0 0 0 0 0 0 0 0
Total circumferential stress 5,265.073 -2,272.671 5,265.073 -
2,272.671 6,747.353 -5,023.287 6,747.353 -
5,023.287
Primary membrane circumferential stress* 1,496.201 1,496.201 1,496.201 1,496.201 862.033 862.033 862.033 862.033
3C* 10.4492 0.1182 1,072.391 1,072.391 1,072.391 1,072.391 0 0 0 0
4C* 13.4311 0.142 0 0 0 0 1,378.437 1,378.437 1,378.437 1,378.437
1C-1 0.0722 0.1225 4,468.144 -4,468.144 4,468.144 -
4,468.144 0 0 0 0
2C 0.0453 0.1225 0 0 0 0 2,803.417 -2,803.417 2,803.417 -
2,803.417
4A* 5.6933 0.0858 0 0 0 0 0 0 0 0
2A 0.0393 0.1165 0 0 0 0 0 0 0 0
4B* 3.9554 0.1194 0 0 0 0 0 0 0 0
2B-1 0.034 0.1298 0 0 0 0 0 0 0 0
Pressure stress* 0 0 0 0 0 0 0 0
Total longitudinal stress 5,540.535 -3,395.753 5,540.535 -
3,395.753 4,181.854 -1,424.98 4,181.854 -1,424.98
Primary membrane longitudinal stress* 1,072.391 1,072.391 1,072.391 1,072.391 1,378.437 1,378.437 1,378.437 1,378.437
Shear from Mt 0 0 0 0 0 0 0 0
Circ shear from Vc 0 0 0 0 0 0 0 0
Long shear from VL 0 0 0 0 0 0 0 0
Total Shear stress 0 0 0 0 0 0 0 0
Combined stress (PL+Pb+Q) 5,540.535 -3,395.753 5,540.535 -
3,395.753 6,747.353 -5,023.287 6,747.353 -
5,023.287
Note: * denotes primary stress.
V-8601 333
Base Ring Sectional Properties
t1 10 mm L1 275.86 mm
t2 27 mm L2a 134.59 mm
L2b 68.61 mm
t3 41.28 mm L3 133.35 mm
Base Ring Geometry
Effective skirt length:
Rm = (Di + t1)*0.5 = (2,000 + 10)*0.5 = 1,005 mm
L1 = t3 + (3)*Min(0.78*sqr(Rm*t1), 16*t1) = 41.28 + (3)*0.78*sqr(1,005*10) = 275.86 mm
Section Area: A1 = t1*L1 = 10*275.86 = 2,758.59 mm2
A2 = t2*L2 = 27*(134.59 + 68.61) = 5,486.4 mm2
A3 = t3*L3 = 41.28*133.35 = 5,504.02 mm2
Atotal = A1 + A2 + A3 = 2,758.59 + 5,486.4 + 5,504.02 = 13,749.01 mm2
Centroid, C: h1 = L2a + 0.5*t1 = 134.59 + 0.5*10 = 139.59 mmh2 = 0.5*(L2a + L2b) = 0.5*(134.59 + 68.61) = 101.6 mmh3 = 0.5*L3 - (L3 - L2a) = 0.5*133.35 - (133.35 - 134.59) = 67.91 mmC = ( (A1*h1) + (A2*h2) + (A3*h3) ) / Atotal
= ((2,758.59*139.59) + (5,486.4*101.6) + (5,504.02*67.91) ) / 13,749.01 = 95.74 mmMoment of Inertia, I:
I1 = (L1*t13) / 12 + A1*(h1 - C)2
= (275.86*103) / 12 + 2,758.59*(139.59 - 95.74)2 = 5327643.3mm4
I2 = t2*(L2a + L2b)3 / 12 + A2*(h2 - C)2 = 27*(134.59 + 68.61)3 / 12 + 5,486.4*(101.6 - 95.74)2 = 19066557.9 mm4
I3 = (t3*L33) / 12 + A3*(h3 - C)2
= (41.28*133.353) / 12 + 5,504.02*(67.91 - 95.74)2 = 12417056.4 mm4
Iring = I1 + I2 + I3 = 5327643.3470 + 19066557.9413 + 12417056.3918 = 36811257.7mm4
Section Modulus, Z: Z = Iring / Cmax = 36811257.6801 / 107.46 = 342544.911 mm3
Base Ring Loads without stiffener beam Base Ring Load Wr = W = Ftail = 10,314.3 kgf
V-8601 334
Base Ring Loading Reference: Roark's Formulas for Stress & Strain - 6th Edition. Table 17, Case 20 For thin ring sections k1 = k2 = 1 Change in vertical diameter, DV = (-W)*R3*(π*k1 / 8 - k2
2 / π) / (E * I) Internal Moment, MA = W*R*(k2 - 0.5) / (2*π) Internal Force, NA = 0.75*W / π Internal Shear Force, VA = 0 Ring loading, Wr = 10,314.3 kgf DVr = -10,314.3*1,048.853*(π*1 / 8 - 12 / π) / (2,038,903*36811257.6801) = -1.18 mmMAr = 10,314.3*1,048.85*(1 - 0.5) / (2*π) = 860.8825 kg-mNAr = 0.75*10,314.3 / π = 2,462.4 kgfLoad Equations LTM = W*R*(1 - cos(x) - 0.5*x*sin(x)) / π LTN = -W*(x*sin(x)) / (2*π) LTV = W*(sin(x) - x*cos(x)) / (2*π) M = MA - NA*R*(1 - cos(x)) + VA*R*sin(x) + LTM N = NA*cos(x) + VA*sin(x) + LTN V = -NA*sin(x) + VA*cos(x) + LTV Load Table for Load Wr
x [°] LTM [kgf-m] LTN [kgf] LTV [kgf] M [kgf-m] N [kgf] V [kgf]
180 0.00 -0.00 0.00 860.88 2462.36 0.00
150 10.59 -429.76 76.42 525.46 1702.70 -1154.76
120 160.30 -1488.74 562.12 -270.14 -257.56 -1570.34
90 738.99 -2578.57 1641.57 -982.78 -2578.57 -820.79
60 2042.36 -2977.48 3140.69 -970.73 -4208.66 1008.23
30 4171.93 -2148.81 4542.63 213.53 -4281.27 3311.46
0 6887.06 -0.00 5157.15 2582.65 -2462.36 5157.15
(0 ° at lug) Maximum Stress in Base Ring Section Allowable Base Ring Stresses Fa = 0.6*Fy = 1,518.6 kg/cm2 Fb = 0.66*Fy = 1,670.5 kg/cm2 Fs = 0.4*Fy = 1,012.4 kg/cm2 Base Ring Stresses Maximum combined stress occurs at 0.00 degrees fa = N / A = -2,462.4 / 13,749.01 = -17.9 kg/cm2
fb = M / Z = 2,582.6 / 342544.9107 = 754 kg/cm2
fa / Fa + fb / Fb = 0.46 Acceptable Maximum shear stress occurs at 0.00 degrees fs = V / A = 5,157.1 / 13,749.01 = 37.5 kg/cm2
fs / Fs = 0.04 Acceptable
V-8601 335
Skirt Support Calculation Design Conditions
(Maximum Conditions)
V-8601 336
Support Skirt 1 Material: SA-516 60 (II-D Metric p. 10, ln. 27) Design temperature, operating: 25 °C Design temperature, vacuum: 25 °C Inner diameter at top, new: 2,000 mm Inner diameter at bottom, new: 2,000 mm Overall length (includes base ring thickness): 670 mm Corrosion allowance inside: 1.5 mm Corrosion allowance outside: 1.5 mm Weld joint efficiency top: 0.55 Weld joint efficiency bottom: 0.55 Nominal thickness, new: 10 mm Skirt is attached to: Bottom Head Skirt attachment offset: 101.41 mm down from the top seam Skirt design thickness, largest of the following + corrosion = 4.36 mm The governing condition is due to vortex shedding, compressive stress at the base, empty & corroded. The skirt thickness of 10 mm is adequate.
Loading Vessel
Condition (Stress)
Governing Skirt
Location
Temperature(°C)
AllowableStress
(kgf/cm2)
CalculatedStress/E(kgf/cm2)
Required thickness
(mm)
Wind operating, corroded (+) top 25 821.06 -34.57 0.29
Wind operating, corroded (-) bottom 25 821.06 102.36 0.87
Wind operating, new (+) top 25 918.01 -26.04 0.28
Wind operating, new (-) bottom 25 918.01 75.29 0.82
Wind empty, corroded (+) top 25 821.06 -4.18 0.04
Wind empty, corroded (-) bottom 25 821.06 51.71 0.44
Wind empty, new (+) top 25 918.01 -5.05 0.06
Wind empty, new (-) bottom 25 918.01 40.32 0.44
Wind test, corroded (+) top 25 821.06 -27.26 0.23
Wind test, corroded (-) bottom 25 821.06 90.18 0.77
Wind test, new (+) top 25 918.01 -20.92 0.23
Wind test, new (-) bottom 25 918.01 66.76 0.73
Wind vacuum, corroded (+) top 25 821.06 -34.57 0.29
Wind vacuum, corroded (-) bottom 25 821.06 102.36 0.87
Vortex shedding operating, corroded (+) top 25 821.06 -7.37 0.06
Vortex shedding operating, corroded (-) bottom 25 821.06 133.49 1.14
Vortex shedding empty, corroded (+) bottom 25 1,203.26 191.57 1.11
Vortex shedding empty, corroded (-) bottom 25 821.06 159.35 1.36
Vortex shedding vacuum, corroded (+) top 25 821.06 -7.37 0.06
Vortex shedding vacuum, corroded (-) bottom 25 821.06 133.49 1.14
V-8601 337
Loading due to wind, operating & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.28 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*37,067.87 / (p*2,010*821.06/100*1) + 4*1e3*3,498.1 / (p*2,0102*821.06/100*1)
= 0.29 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.87 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 37,067.87 / (p*2,010*821.06/100*1) + 4*1e3*3,498.1 / (p*2,0102*821.06/100*1)
= 0.85 mm Loading due to wind, operating & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*39,501.19 / (p*2,010*918.009/100*1) + 4*1e3*4,041.9 / (p*2,0102*918.009/100*1)
= 0.27 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*39,169.8 / (p*2,010*918.009/100*1) + 4*1e3*3,547.9 / (p*2,0102*918.009/100*1)
= 0.28 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 39,501.19 / (p*2,010*918.009/100*1) + 4*1e3*4,041.9 / (p*2,0102*918.009/100*1)
= 0.82 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 39,169.8 / (p*2,010*918.009/100*1) + 4*1e3*3,547.9 / (p*2,0102*918.009/100*1)
= 0.8 mm Loading due to wind, empty & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*14,913.97 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.0194 mm
V-8601 338
Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*14,681.99 / (p*2,010*821.06/100*1) + 4*1e3*3,498.1 / (p*2,0102*821.06/100*1)
= 0.0356 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 14,913.97 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.44 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 14,681.99 / (p*2,010*821.06/100*1) + 4*1e3*3,498.1 / (p*2,0102*821.06/100*1)
= 0.42 mm Loading due to wind, empty & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*17,414.08 / (p*2,010*918.009/100*1) + 4*1e3*4,041.9 / (p*2,0102*918.009/100*1)
= 0.0415 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*17,082.69 / (p*2,010*918.009/100*1) + 4*1e3*3,547.9 / (p*2,0102*918.009/100*1)
= 0.055 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 17,414.08 / (p*2,010*918.009/100*1) + 4*1e3*4,041.9 / (p*2,0102*918.009/100*1)
= 0.44 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 17,082.69 / (p*2,010*918.009/100*1) + 4*1e3*3,547.9 / (p*2,0102*918.009/100*1)
= 0.42 mm Loading due to wind, test & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*31,918.21 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.22 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*31,686.24 / (p*2,010*821.06/100*1) + 4*1e3*3,498.1 / (p*2,0102*821.06/100*1)
= 0.23 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 31,918.21 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.77 mm
V-8601 339
Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 31,686.24 / (p*2,010*821.06/100*1) + 4*1e3*3,498.1 / (p*2,0102*821.06/100*1)
= 0.75 mm Loading due to wind, test & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*34,113.63 / (p*2,010*918.009/100*1) + 4*1e3*4,041.9 / (p*2,0102*918.009/100*1)
= 0.21 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*33,782.24 / (p*2,010*918.009/100*1) + 4*1e3*3,547.9 / (p*2,0102*918.009/100*1)
= 0.23 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 34,113.63 / (p*2,010*918.009/100*1) + 4*1e3*4,041.9 / (p*2,0102*918.009/100*1)
= 0.73 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 33,782.24 / (p*2,010*918.009/100*1) + 4*1e3*3,547.9 / (p*2,0102*918.009/100*1)
= 0.7 mm Loading due to wind, vacuum & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.28 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*37,067.87 / (p*2,010*821.06/100*1) + 4*1e3*3,498.1 / (p*2,0102*821.06/100*1)
= 0.29 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.87 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 37,067.87 / (p*2,010*821.06/100*1) + 4*1e3*3,498.1 / (p*2,0102*821.06/100*1)
= 0.85 mm
V-8601 340
Loading due to vortex shedding, operating & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*10,908 / (p*2,0102*821.06/100*1)
= 0.013 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*37,067.87 / (p*2,010*821.06/100*1) + 4*1e3*9,538 / (p*2,0102*821.06/100*1)
= 0.0629 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*10,908 / (p*2,0102*821.06/100*1)
= 1.14 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 37,067.87 / (p*2,010*821.06/100*1) + 4*1e3*9,538 / (p*2,0102*821.06/100*1)
= 1.08 mm Loading due to vortex shedding, empty & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*14,913.97 / (p*2,010*1,203.264/100*0.55) + 4*1e3*27,899 / (p*2,0102*1,203.264/100*0.55)
= 1.11 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*14,681.99 / (p*2,010*1,203.264/100*0.55) + 4*1e3*24,371.1 / (p*2,0102*1,203.264/100*0.55)
= 0.95 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 14,913.97 / (p*2,010*821.06/100*1) + 4*1e3*27,899 / (p*2,0102*821.06/100*1)
= 1.36 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 14,681.99 / (p*2,010*821.06/100*1) + 4*1e3*24,371.1 / (p*2,0102*821.06/100*1)
= 1.22 mm Loading due to vortex shedding, vacuum & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*10,908 / (p*2,0102*821.06/100*1)
= 0.013 mm
V-8601 341
Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*37,067.87 / (p*2,010*821.06/100*1) + 4*1e3*9,538 / (p*2,0102*821.06/100*1)
= 0.0629 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*10,908 / (p*2,0102*821.06/100*1)
= 1.14 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 37,067.87 / (p*2,010*821.06/100*1) + 4*1e3*9,538 / (p*2,0102*821.06/100*1)
= 1.08 mm
V-8601 342
Support Skirt 2 Material: SA-283 C (II-D Metric p. 6, ln. 41) Design temperature, operating: 25 °C Design temperature, vacuum: 25 °C Inner diameter at top, new: 2,000 mm Inner diameter at bottom, new: 2,000 mm Overall length (includes base ring thickness): 1,500 mm Corrosion allowance inside: 1.5 mm Corrosion allowance outside: 1.5 mm Weld joint efficiency top: 0.55 Weld joint efficiency bottom: 0.55 Nominal thickness, new: 10 mm Skirt is attached to: Support Skirt 1 Skirt attachment offset: 0 mm up from the bottom seam Skirt design thickness, largest of the following + corrosion = 4.68 mm The governing condition is due to vortex shedding, compressive stress at the base, empty & corroded. The skirt thickness of 10 mm is adequate.
Loading Vessel
Condition (Stress)
Governing Skirt
Location
Temperature(°C)
AllowableStress
(kgf/cm2)
CalculatedStress/E(kgf/cm2)
Required thickness
(mm)
Wind operating, corroded (+) top 25 821.06 -32.66 0.28
Wind operating, corroded (-) bottom 25 821.06 109.2 0.93
Wind operating, new (+) top 25 918.01 -24.8 0.27
Wind operating, new (-) bottom 25 918.01 80.44 0.88
Wind empty, corroded (+) bottom 25 1,101.29 4.9 0.03
Wind empty, corroded (-) bottom 25 821.06 58.56 0.5
Wind empty, new (+) top 25 918.01 -3.81 0.04
Wind empty, new (-) bottom 25 918.01 45.46 0.5
Wind test, corroded (+) top 25 821.06 -25.35 0.22
Wind test, corroded (-) bottom 25 821.06 97.03 0.83
Wind test, new (+) top 25 918.01 -19.68 0.21
Wind test, new (-) bottom 25 918.01 71.91 0.78
Wind vacuum, corroded (+) top 25 821.06 -32.66 0.28
Wind vacuum, corroded (-) bottom 25 821.06 109.2 0.93
Vortex shedding operating, corroded (+) bottom 25 1,101.29 22.32 0.14
Vortex shedding operating, corroded (-) bottom 25 821.06 149.17 1.27
Vortex shedding empty, corroded (+) bottom 25 1,101.29 256.19 1.63
Vortex shedding empty, corroded (-) bottom 25 821.06 196.77 1.68
Vortex shedding vacuum, corroded (+) bottom 25 1,101.29 22.32 0.14
Vortex shedding vacuum, corroded (-) bottom 25 821.06 149.17 1.27
V-8601 343
Loading due to wind, operating & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*37,819.2 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.24 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.28 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 37,819.2 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.93 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.87 mm Loading due to wind, operating & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*40,243.13 / (p*2,010*918.009/100*1) + 4*1e3*5,302 / (p*2,0102*918.009/100*1)
= 0.23 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*39,501.19 / (p*2,010*918.009/100*1) + 4*1e3*4,041.9 / (p*2,0102*918.009/100*1)
= 0.27 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 40,243.13 / (p*2,010*918.009/100*1) + 4*1e3*5,302 / (p*2,0102*918.009/100*1)
= \ HYPERLINK Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 39,501.19 / (p*2,010*918.009/100*1) + 4*1e3*4,041.9 / (p*2,0102*918.009/100*1)
= 0.82 mm Loading due to wind, empty & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*15,433.32 / (p*2,010*1,101.293/100*0.55) + 4*1e3*5,251.9 / (p*2,0102*1,101.293/100*0.55)
= 0.0312 mm
V-8601 344
Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*14,913.97 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.0194 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 15,433.32 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.5 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 14,913.97 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.44 mm Loading due to wind, empty & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*18,156.02 / (p*2,010*918.009/100*1) + 4*1e3*5,302 / (p*2,0102*918.009/100*1)
= 0.0059 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*17,414.08 / (p*2,010*918.009/100*1) + 4*1e3*4,041.9 / (p*2,0102*918.009/100*1)
= 0.0415 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 18,156.02 / (p*2,010*918.009/100*1) + 4*1e3*5,302 / (p*2,0102*918.009/100*1)
= 0.5 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 17,414.08 / (p*2,010*918.009/100*1) + 4*1e3*4,041.9 / (p*2,0102*918.009/100*1)
= 0.44 mm Loading due to wind, test & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*32,437.57 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.17 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*31,918.21 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.22 mm
V-8601 345
Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 32,437.57 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.83 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 31,918.21 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.77 mm Loading due to wind, test & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*34,855.57 / (p*2,010*918.009/100*1) + 4*1e3*5,302 / (p*2,0102*918.009/100*1)
= 0.18 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*34,113.63 / (p*2,010*918.009/100*1) + 4*1e3*4,041.9 / (p*2,0102*918.009/100*1)
= 0.21 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 34,855.57 / (p*2,010*918.009/100*1) + 4*1e3*5,302 / (p*2,0102*918.009/100*1)
= 0.78 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 34,113.63 / (p*2,010*918.009/100*1) + 4*1e3*4,041.9 / (p*2,0102*918.009/100*1)
= 0.73 mm Loading due to wind, vacuum & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*37,819.2 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.24 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.28 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 37,819.2 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.93 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*3,992.1 / (p*2,0102*821.06/100*1)
= 0.87 mm
V-8601 346
Loading due to vortex shedding, operating & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*37,819.2 / (p*2,010*1,101.293/100*0.55) + 4*1e3*14,129.1 / (p*2,0102*1,101.293/100*0.55)
= 0.14 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*10,908 / (p*2,0102*821.06/100*1)
= 0.013 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 37,819.2 / (p*2,010*821.06/100*1) + 4*1e3*14,129.1 / (p*2,0102*821.06/100*1)
= 1.27 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*10,908 / (p*2,0102*821.06/100*1)
= 1.14 mm Loading due to vortex shedding, empty & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*15,433.32 / (p*2,010*1,101.293/100*0.55) + 4*1e3*35,950.9 / (p*2,0102*1,101.293/100*0.55)
= 1.63 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*14,913.97 / (p*2,010*1,101.293/100*0.55) + 4*1e3*27,899 / (p*2,0102*1,101.293/100*0.55)
= 1.22 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 15,433.32 / (p*2,010*821.06/100*1) + 4*1e3*35,950.9 / (p*2,0102*821.06/100*1)
= 1.68 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 14,913.97 / (p*2,010*821.06/100*1) + 4*1e3*27,899 / (p*2,0102*821.06/100*1)
= 1.36 mm Loading due to vortex shedding, vacuum & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*37,819.2 / (p*2,010*1,101.293/100*0.55) + 4*1e3*14,129.1 / (p*2,0102*1,101.293/100*0.55)
= 0.14 mm
V-8601 347
Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*10,908 / (p*2,0102*821.06/100*1)
= 0.013 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 37,819.2 / (p*2,010*821.06/100*1) + 4*1e3*14,129.1 / (p*2,0102*821.06/100*1)
= 1.27 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 37,299.84 / (p*2,010*821.06/100*1) + 4*1e3*10,908 / (p*2,0102*821.06/100*1)
= 1.14 mm
V-8601 348
Support Skirt 3 Material: SA-283 C (II-D Metric p. 6, ln. 41) Design temperature, operating: 25 °C Design temperature, vacuum: 25 °C Inner diameter at top, new: 2,000 mm Inner diameter at bottom, new: 2,000 mm Overall length (includes base ring thickness): 1,500 mm Corrosion allowance inside: 1.5 mm Corrosion allowance outside: 1.5 mm Weld joint efficiency top: 0.55 Weld joint efficiency bottom: 0.55 Nominal thickness, new: 10 mm Skirt is attached to: Support Skirt 2 Skirt attachment offset: 0 mm up from the bottom seam Skirt design thickness, largest of the following + corrosion = 5.05 mm The governing condition is due to vortex shedding, tensile stress at the base, empty & corroded. The skirt thickness of 10 mm is adequate.
Loading Vessel
Condition (Stress)
Governing Skirt
Location
Temperature(°C)
AllowableStress
(kgf/cm2)
CalculatedStress/E(kgf/cm2)
Required thickness
(mm)
Wind operating, corroded (+) top 25 821.06 -27.69 0.24
Wind operating, corroded (-) bottom 25 821.06 117.01 1
Wind operating, new (+) top 25 918.01 -21.53 0.23
Wind operating, new (-) bottom 25 918.01 86.26 0.94
Wind empty, corroded (+) bottom 25 1,101.29 15.67 0.1
Wind empty, corroded (-) bottom 25 821.06 66.36 0.57
Wind empty, new (+) bottom 25 1,101.29 6.17 0.06
Wind empty, new (-) bottom 25 918.01 51.28 0.56
Wind test, corroded (+) top 25 821.06 -20.39 0.17
Wind test, corroded (-) bottom 25 821.06 104.83 0.89
Wind test, new (+) top 25 918.01 -16.41 0.18
Wind test, new (-) bottom 25 918.01 77.73 0.85
Wind vacuum, corroded (+) top 25 821.06 -27.69 0.24
Wind vacuum, corroded (-) bottom 25 821.06 117.01 1
Vortex shedding operating, corroded (+) bottom 25 1,101.29 49.15 0.31
Vortex shedding operating, corroded (-) bottom 25 821.06 165.81 1.41
Vortex shedding empty, corroded (+) bottom 25 1,101.29 322.57 2.05
Vortex shedding empty, corroded (-) bottom 25 821.06 235.16 2
Vortex shedding vacuum, corroded (+) bottom 25 1,101.29 49.15 0.31
Vortex shedding vacuum, corroded (-) bottom 25 821.06 165.81 1.41
V-8601 349
Loading due to wind, operating & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*38,338.55 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 0.19 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*37,819.2 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.24 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 38,338.55 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 1 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 37,819.2 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.93 mm Loading due to wind, operating & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*40,985.06 / (p*2,010*918.009/100*1) + 4*1e3*6,775.2 / (p*2,0102*918.009/100*1)
= 0.19 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*40,243.13 / (p*2,010*918.009/100*1) + 4*1e3*5,302 / (p*2,0102*918.009/100*1)
= 0.23 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 40,985.06 / (p*2,010*918.009/100*1) + 4*1e3*6,775.2 / (p*2,0102*918.009/100*1)
= 0.94 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 40,243.13 / (p*2,010*918.009/100*1) + 4*1e3*5,302 / (p*2,0102*918.009/100*1)
= 0.88 mm Loading due to wind, empty & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*15,952.68 / (p*2,010*1,101.293/100*0.55) + 4*1e3*6,724.5 / (p*2,0102*1,101.293/100*0.55)
= 0.0996 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*15,433.32 / (p*2,010*1,101.293/100*0.55) + 4*1e3*5,251.9 / (p*2,0102*1,101.293/100*0.55)
= 0.0312 mm
V-8601 350
Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 15,952.68 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 0.57 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 15,433.32 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.5 mm Loading due to wind, empty & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*18,897.95 / (p*2,010*1,101.293/100*0.55) + 4*1e3*6,775.2 / (p*2,0102*1,101.293/100*0.55)
= 0.0561 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*18,156.02 / (p*2,010*918.009/100*1) + 4*1e3*5,302 / (p*2,0102*918.009/100*1)
= 0.0059 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 18,897.95 / (p*2,010*918.009/100*1) + 4*1e3*6,775.2 / (p*2,0102*918.009/100*1)
= 0.56 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 18,156.02 / (p*2,010*918.009/100*1) + 4*1e3*5,302 / (p*2,0102*918.009/100*1)
= 0.5 mm Loading due to wind, test & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*32,956.92 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 0.12 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*32,437.57 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.17 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 32,956.92 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 0.89 mm
V-8601 351
Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 32,437.57 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.83 mm Loading due to wind, test & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*35,597.5 / (p*2,010*918.009/100*1) + 4*1e3*6,775.2 / (p*2,0102*918.009/100*1)
= 0.14 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*34,855.57 / (p*2,010*918.009/100*1) + 4*1e3*5,302 / (p*2,0102*918.009/100*1)
= 0.18 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 35,597.5 / (p*2,010*918.009/100*1) + 4*1e3*6,775.2 / (p*2,0102*918.009/100*1)
= 0.85 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 34,855.57 / (p*2,010*918.009/100*1) + 4*1e3*5,302 / (p*2,0102*918.009/100*1)
= 0.78 mm Loading due to wind, vacuum & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*38,338.55 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 0.19 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*37,819.2 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.24 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 38,338.55 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 1 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 37,819.2 / (p*2,010*821.06/100*1) + 4*1e3*5,251.9 / (p*2,0102*821.06/100*1)
= 0.93 mm
V-8601 352
Loading due to vortex shedding, operating & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*38,338.55 / (p*2,010*1,101.293/100*0.55) + 4*1e3*17,563 / (p*2,0102*1,101.293/100*0.55)
= 0.31 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*37,819.2 / (p*2,010*1,101.293/100*0.55) + 4*1e3*14,129.1 / (p*2,0102*1,101.293/100*0.55)
= 0.14 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 38,338.55 / (p*2,010*821.06/100*1) + 4*1e3*17,563 / (p*2,0102*821.06/100*1)
= 1.41 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 37,819.2 / (p*2,010*821.06/100*1) + 4*1e3*14,129.1 / (p*2,0102*821.06/100*1)
= 1.27 mm Loading due to vortex shedding, empty & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*15,952.68 / (p*2,010*1,101.293/100*0.55) + 4*1e3*44,215.6 / (p*2,0102*1,101.293/100*0.55)
= 2.05 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*15,433.32 / (p*2,010*1,101.293/100*0.55) + 4*1e3*35,950.9 / (p*2,0102*1,101.293/100*0.55)
= 1.63 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 15,952.68 / (p*2,010*821.06/100*1) + 4*1e3*44,215.6 / (p*2,0102*821.06/100*1)
= 2 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 15,433.32 / (p*2,010*821.06/100*1) + 4*1e3*35,950.9 / (p*2,0102*821.06/100*1)
= 1.68 mm Loading due to vortex shedding, vacuum & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*38,338.55 / (p*2,010*1,101.293/100*0.55) + 4*1e3*17,563 / (p*2,0102*1,101.293/100*0.55)
= 0.31 mm
V-8601 353
Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*37,819.2 / (p*2,010*1,101.293/100*0.55) + 4*1e3*14,129.1 / (p*2,0102*1,101.293/100*0.55)
= 0.14 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 38,338.55 / (p*2,010*821.06/100*1) + 4*1e3*17,563 / (p*2,0102*821.06/100*1)
= 1.41 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 37,819.2 / (p*2,010*821.06/100*1) + 4*1e3*14,129.1 / (p*2,0102*821.06/100*1)
= 1.27 mm
V-8601 354
Support Skirt 4 Material: SA-283 C (II-D Metric p. 6, ln. 41) Design temperature, operating: 25 °C Design temperature, vacuum: 25 °C Inner diameter at top, new: 2,000 mm Inner diameter at bottom, new: 2,000 mm Overall length (includes base ring thickness): 1,500 mm Corrosion allowance inside: 1.5 mm Corrosion allowance outside: 1.5 mm Weld joint efficiency top: 0.55 Weld joint efficiency bottom: 0.55 Nominal thickness, new: 10 mm Skirt is attached to: Support Skirt 3 Skirt attachment offset: 0 mm up from the bottom seam Skirt design thickness, largest of the following + corrosion = 5.48 mm The governing condition is due to vortex shedding, tensile stress at the base, empty & corroded. The skirt thickness of 10 mm is adequate.
Loading Vessel
Condition (Stress)
Governing Skirt
Location
Temperature(°C)
AllowableStress
(kgf/cm2)
CalculatedStress/E(kgf/cm2)
Required thickness
(mm)
Wind operating, corroded (+) top 25 821.06 -21.77 0.19
Wind operating, corroded (-) bottom 25 821.06 125.77 1.07
Wind operating, new (+) top 25 918.01 -17.59 0.19
Wind operating, new (-) bottom 25 918.01 92.75 1.01
Wind empty, corroded (+) bottom 25 1,101.29 28.19 0.18
Wind empty, corroded (-) bottom 25 821.06 75.13 0.64
Wind empty, new (+) bottom 25 1,101.29 14.55 0.13
Wind empty, new (-) bottom 25 918.01 57.77 0.63
Wind test, corroded (+) top 25 821.06 -14.46 0.12
Wind test, corroded (-) bottom 25 821.06 113.6 0.97
Wind test, new (+) top 25 918.01 -12.47 0.14
Wind test, new (-) bottom 25 918.01 84.21 0.92
Wind vacuum, corroded (+) top 25 821.06 -21.77 0.19
Wind vacuum, corroded (-) bottom 25 821.06 125.77 1.07
Vortex shedding operating, corroded (+) bottom 25 1,101.29 77.71 0.49
Vortex shedding operating, corroded (-) bottom 25 821.06 183.4 1.56
Vortex shedding empty, corroded (+) bottom 25 1,101.29 390.68 2.48
Vortex shedding empty, corroded (-) bottom 25 821.06 274.5 2.34
Vortex shedding vacuum, corroded (+) bottom 25 1,101.29 77.71 0.49
Vortex shedding vacuum, corroded (-) bottom 25 821.06 183.4 1.56
V-8601 355
Loading due to wind, operating & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*38,857.91 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 0.13 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*38,338.55 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 0.19 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 38,857.91 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 1.07 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 38,338.55 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 1 mm Loading due to wind, operating & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*41,727 / (p*2,010*918.009/100*1) + 4*1e3*8,461.4 / (p*2,0102*918.009/100*1)
= 0.14 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*40,985.06 / (p*2,010*918.009/100*1) + 4*1e3*6,775.2 / (p*2,0102*918.009/100*1)
= 0.19 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 41,727 / (p*2,010*918.009/100*1) + 4*1e3*8,461.4 / (p*2,0102*918.009/100*1)
= 1.01 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 40,985.06 / (p*2,010*918.009/100*1) + 4*1e3*6,775.2 / (p*2,0102*918.009/100*1)
= 0.94 mm Loading due to wind, empty & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*16,472.03 / (p*2,010*1,101.293/100*0.55) + 4*1e3*8,409.7 / (p*2,0102*1,101.293/100*0.55)
= 0.18 mm
V-8601 356
Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*15,952.68 / (p*2,010*1,101.293/100*0.55) + 4*1e3*6,724.5 / (p*2,0102*1,101.293/100*0.55)
= 0.0996 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 16,472.03 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 0.64 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 15,952.68 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 0.57 mm Loading due to wind, empty & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*19,639.89 / (p*2,010*1,101.293/100*0.55) + 4*1e3*8,461.4 / (p*2,0102*1,101.293/100*0.55)
= 0.13 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*18,897.95 / (p*2,010*1,101.293/100*0.55) + 4*1e3*6,775.2 / (p*2,0102*1,101.293/100*0.55)
= 0.0561 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 19,639.89 / (p*2,010*918.009/100*1) + 4*1e3*8,461.4 / (p*2,0102*918.009/100*1)
= 0.63 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 18,897.95 / (p*2,010*918.009/100*1) + 4*1e3*6,775.2 / (p*2,0102*918.009/100*1)
= 0.56 mm Loading due to wind, test & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*33,476.28 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 0.0646 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*32,956.92 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 0.12 mm
V-8601 357
Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 33,476.28 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 0.97 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 32,956.92 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 0.89 mm Loading due to wind, test & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*36,339.44 / (p*2,010*918.009/100*1) + 4*1e3*8,461.4 / (p*2,0102*918.009/100*1)
= 0.0857 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*35,597.5 / (p*2,010*918.009/100*1) + 4*1e3*6,775.2 / (p*2,0102*918.009/100*1)
= 0.14 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 36,339.44 / (p*2,010*918.009/100*1) + 4*1e3*8,461.4 / (p*2,0102*918.009/100*1)
= 0.92 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 35,597.5 / (p*2,010*918.009/100*1) + 4*1e3*6,775.2 / (p*2,0102*918.009/100*1)
= 0.85 mm Loading due to wind, vacuum & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*38,857.91 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 0.13 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*38,338.55 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 0.19 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 38,857.91 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 1.07 mm
V-8601 358
Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 38,338.55 / (p*2,010*821.06/100*1) + 4*1e3*6,724.5 / (p*2,0102*821.06/100*1)
= 1 mm Loading due to vortex shedding, operating & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*38,857.91 / (p*2,010*1,101.293/100*0.55) + 4*1e3*21,209.5 / (p*2,0102*1,101.293/100*0.55)
= 0.49 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*38,338.55 / (p*2,010*1,101.293/100*0.55) + 4*1e3*17,563 / (p*2,0102*1,101.293/100*0.55)
= 0.31 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 38,857.91 / (p*2,010*821.06/100*1) + 4*1e3*21,209.5 / (p*2,0102*821.06/100*1)
= 1.56 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 38,338.55 / (p*2,010*821.06/100*1) + 4*1e3*17,563 / (p*2,0102*821.06/100*1)
= 1.41 mm Loading due to vortex shedding, empty & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*16,472.03 / (p*2,010*1,101.293/100*0.55) + 4*1e3*52,693 / (p*2,0102*1,101.293/100*0.55)
= 2.48 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*15,952.68 / (p*2,010*1,101.293/100*0.55) + 4*1e3*44,215.6 / (p*2,0102*1,101.293/100*0.55)
= 2.05 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 16,472.03 / (p*2,010*821.06/100*1) + 4*1e3*52,693 / (p*2,0102*821.06/100*1)
= 2.34 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 15,952.68 / (p*2,010*821.06/100*1) + 4*1e3*44,215.6 / (p*2,0102*821.06/100*1)
= 2 mm
V-8601 359
Loading due to vortex shedding, vacuum & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*38,857.91 / (p*2,010*1,101.293/100*0.55) + 4*1e3*21,209.5 / (p*2,0102*1,101.293/100*0.55)
= 0.49 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*38,338.55 / (p*2,010*1,101.293/100*0.55) + 4*1e3*17,563 / (p*2,0102*1,101.293/100*0.55)
= 0.31 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 38,857.91 / (p*2,010*821.06/100*1) + 4*1e3*21,209.5 / (p*2,0102*821.06/100*1)
= 1.56 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 38,338.55 / (p*2,010*821.06/100*1) + 4*1e3*17,563 / (p*2,0102*821.06/100*1)
= 1.41 mm
V-8601 360
Support Skirt 5 Material: SA-283 C (II-D Metric p. 6, ln. 41) Design temperature, operating: 25 °C Design temperature, vacuum: 25 °C Inner diameter at top, new: 2,000 mm Inner diameter at bottom, new: 2,000 mm Overall length (includes base ring thickness): 1,094 mm Corrosion allowance inside: 1.5 mm Corrosion allowance outside: 1.5 mm Weld joint efficiency top: 0.55 Weld joint efficiency bottom: 0.55 Nominal thickness, new: 10 mm Skirt is attached to: Support Skirt 4 Skirt attachment offset: 0 mm up from the bottom seam Skirt design thickness, largest of the following + corrosion = 5.81 mm The governing condition is due to vortex shedding, tensile stress at the base, empty & corroded. The skirt thickness of 10 mm is adequate.
Loading Vessel
Condition (Stress)
Governing Skirt
Location
Temperature(°C)
AllowableStress
(kgf/cm2)
CalculatedStress/E(kgf/cm2)
Required thickness
(mm)
Wind operating, corroded (+) top 25 821.06 -14.88 0.13
Wind operating, corroded (-) bottom 25 821.06 132.77 1.13
Wind operating, new (+) top 25 918.01 -12.98 0.14
Wind operating, new (-) bottom 25 918.01 97.9 1.07
Wind empty, corroded (+) bottom 25 1,101.29 38.41 0.24
Wind empty, corroded (-) bottom 25 821.06 82.12 0.7
Wind empty, new (+) bottom 25 1,101.29 21.44 0.19
Wind empty, new (-) bottom 25 918.01 62.92 0.69
Wind test, corroded (+) top 25 821.06 -7.58 0.06
Wind test, corroded (-) bottom 25 821.06 120.59 1.03
Wind test, new (+) top 25 918.01 -7.86 0.09
Wind test, new (-) bottom 25 918.01 89.37 0.97
Wind vacuum, corroded (+) top 25 821.06 -14.88 0.13
Wind vacuum, corroded (-) bottom 25 821.06 132.77 1.13
Vortex shedding operating, corroded (+) bottom 25 1,101.29 99.65 0.63
Vortex shedding operating, corroded (-) bottom 25 821.06 196.83 1.68
Vortex shedding empty, corroded (+) bottom 25 1,101.29 441.45 2.81
Vortex shedding empty, corroded (-) bottom 25 821.06 303.79 2.59
Vortex shedding vacuum, corroded (+) bottom 25 1,101.29 99.65 0.63
Vortex shedding vacuum, corroded (-) bottom 25 821.06 196.83 1.68
V-8601 361
Loading due to wind, operating & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*39,236.69 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 0.0789 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*38,857.91 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 0.13 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 39,236.69 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 1.13 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 38,857.91 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 1.07 mm Loading due to wind, operating & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*42,268.11 / (p*2,010*918.009/100*1) + 4*1e3*9,825.5 / (p*2,0102*918.009/100*1)
= 0.1 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*41,727 / (p*2,010*918.009/100*1) + 4*1e3*8,461.4 / (p*2,0102*918.009/100*1)
= 0.14 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 42,268.11 / (p*2,010*918.009/100*1) + 4*1e3*9,825.5 / (p*2,0102*918.009/100*1)
= 1.07 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 41,727 / (p*2,010*918.009/100*1) + 4*1e3*8,461.4 / (p*2,0102*918.009/100*1)
= 1.01 mm Loading due to wind, empty & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*16,850.81 / (p*2,010*1,101.293/100*0.55) + 4*1e3*9,773 / (p*2,0102*1,101.293/100*0.55)
= 0.24 mm
V-8601 362
Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*16,472.03 / (p*2,010*1,101.293/100*0.55) + 4*1e3*8,409.7 / (p*2,0102*1,101.293/100*0.55)
= 0.18 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 16,850.81 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 0.7 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 16,472.03 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 0.64 mm Loading due to wind, empty & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*20,181 / (p*2,010*1,101.293/100*0.55) + 4*1e3*9,825.5 / (p*2,0102*1,101.293/100*0.55)
= 0.19 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*19,639.89 / (p*2,010*1,101.293/100*0.55) + 4*1e3*8,461.4 / (p*2,0102*1,101.293/100*0.55)
= 0.13 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 20,181 / (p*2,010*918.009/100*1) + 4*1e3*9,825.5 / (p*2,0102*918.009/100*1)
= 0.69 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 19,639.89 / (p*2,010*918.009/100*1) + 4*1e3*8,461.4 / (p*2,0102*918.009/100*1)
= 0.63 mm Loading due to wind, test & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*33,855.06 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 0.0167 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*33,476.28 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 0.0646 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 33,855.06 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 1.03 mm
V-8601 363
Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 33,476.28 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 0.97 mm Loading due to wind, test & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*36,880.55 / (p*2,010*918.009/100*1) + 4*1e3*9,825.5 / (p*2,0102*918.009/100*1)
= 0.0444 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*36,339.44 / (p*2,010*918.009/100*1) + 4*1e3*8,461.4 / (p*2,0102*918.009/100*1)
= 0.0857 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 36,880.55 / (p*2,010*918.009/100*1) + 4*1e3*9,825.5 / (p*2,0102*918.009/100*1)
= 0.97 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 36,339.44 / (p*2,010*918.009/100*1) + 4*1e3*8,461.4 / (p*2,0102*918.009/100*1)
= 0.92 mm Loading due to wind, vacuum & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*39,236.69 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 0.0789 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*38,857.91 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 0.13 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 39,236.69 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 1.13 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 38,857.91 / (p*2,010*821.06/100*1) + 4*1e3*8,409.7 / (p*2,0102*821.06/100*1)
= 1.07 mm
V-8601 364
Loading due to vortex shedding, operating & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*39,236.69 / (p*2,010*1,101.293/100*0.55) + 4*1e3*24,003.2 / (p*2,0102*1,101.293/100*0.55)
= 0.63 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*38,857.91 / (p*2,010*1,101.293/100*0.55) + 4*1e3*21,209.5 / (p*2,0102*1,101.293/100*0.55)
= 0.49 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 39,236.69 / (p*2,010*821.06/100*1) + 4*1e3*24,003.2 / (p*2,0102*821.06/100*1)
= 1.68 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 38,857.91 / (p*2,010*821.06/100*1) + 4*1e3*21,209.5 / (p*2,0102*821.06/100*1)
= 1.56 mm Loading due to vortex shedding, empty & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*16,850.81 / (p*2,010*1,101.293/100*0.55) + 4*1e3*59,010 / (p*2,0102*1,101.293/100*0.55)
= 2.81 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*16,472.03 / (p*2,010*1,101.293/100*0.55) + 4*1e3*52,693 / (p*2,0102*1,101.293/100*0.55)
= 2.48 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 16,850.81 / (p*2,010*821.06/100*1) + 4*1e3*59,010 / (p*2,0102*821.06/100*1)
= 2.59 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 16,472.03 / (p*2,010*821.06/100*1) + 4*1e3*52,693 / (p*2,0102*821.06/100*1)
= 2.34 mm Loading due to vortex shedding, vacuum & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*39,236.69 / (p*2,010*1,101.293/100*0.55) + 4*1e3*24,003.2 / (p*2,0102*1,101.293/100*0.55)
= 0.63 mm
V-8601 365
Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*38,857.91 / (p*2,010*1,101.293/100*0.55) + 4*1e3*21,209.5 / (p*2,0102*1,101.293/100*0.55)
= 0.49 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 39,236.69 / (p*2,010*821.06/100*1) + 4*1e3*24,003.2 / (p*2,0102*821.06/100*1)
= 1.68 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 38,857.91 / (p*2,010*821.06/100*1) + 4*1e3*21,209.5 / (p*2,0102*821.06/100*1)
= 1.56 mm
V-8601 366
Support Skirt 6 Material: SA-516 60 (II-D Metric p. 10, ln. 27) Design temperature, operating: 25 °C Design temperature, vacuum: 25 °C Inner diameter at top, new: 2,000 mm Inner diameter at bottom, new: 2,000 mm Overall length (includes base ring thickness): 1,512 mm Corrosion allowance inside: 1.5 mm Corrosion allowance outside: 1.5 mm Weld joint efficiency top: 0.55 Weld joint efficiency bottom: 0.55 Nominal thickness, new: 10 mm Skirt is attached to: Support Skirt 5 Skirt attachment offset: 0 mm up from the bottom seam Skirt design thickness, largest of the following + corrosion = 5.99 mm The governing condition is due to vortex shedding, tensile stress at the base, empty & corroded. The skirt thickness of 10 mm is adequate.
Loading Vessel
Condition (Stress)
Governing Skirt
Location
Temperature(°C)
AllowableStress
(kgf/cm2)
CalculatedStress/E(kgf/cm2)
Required thickness
(mm)
Wind operating, corroded (+) top 25 821.06 -9.26 0.08
Wind operating, corroded (-) bottom 25 821.06 143.27 1.22
Wind operating, new (+) top 25 918.01 -9.2 0.1
Wind operating, new (-) bottom 25 918.01 105.62 1.15
Wind empty, corroded (+) bottom 25 1,203.26 54.07 0.31
Wind empty, corroded (-) bottom 25 821.06 92.63 0.79
Wind empty, new (+) bottom 25 1,203.26 32.02 0.27
Wind empty, new (-) bottom 25 918.01 70.64 0.77
Wind test, corroded (+) bottom 25 1,203.26 12.1 0.07
Wind test, corroded (-) bottom 25 821.06 131.1 1.12
Wind test, new (+) top 25 918.01 -4.08 0.04
Wind test, new (-) bottom 25 918.01 97.08 1.06
Wind vacuum, corroded (+) top 25 821.06 -9.26 0.08
Wind vacuum, corroded (-) bottom 25 821.06 143.27 1.22
Vortex shedding operating, corroded (+) bottom 25 1,203.26 131.49 0.76
Vortex shedding operating, corroded (-) bottom 25 821.06 216.24 1.84
Vortex shedding empty, corroded (+) bottom 25 1,203.26 513.15 2.99
Vortex shedding empty, corroded (-) bottom 25 821.06 345.12 2.94
Vortex shedding vacuum, corroded (+) bottom 25 1,203.26 131.49 0.76
Vortex shedding vacuum, corroded (-) bottom 25 821.06 216.24 1.84
V-8601 367
Loading due to wind, operating & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*39,760.2 / (p*2,010*821.06/100*1) + 4*1e3*11,843.4 / (p*2,0102*821.06/100*1)
= 0.0055 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*39,236.69 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 0.0789 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 39,760.2 / (p*2,010*821.06/100*1) + 4*1e3*11,843.4 / (p*2,0102*821.06/100*1)
= 1.22 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 39,236.69 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 1.13 mm Loading due to wind, operating & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*43,015.98 / (p*2,010*918.009/100*1) + 4*1e3*11,897.4 / (p*2,0102*918.009/100*1)
= 0.0368 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*42,268.11 / (p*2,010*918.009/100*1) + 4*1e3*9,825.5 / (p*2,0102*918.009/100*1)
= 0.1 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 43,015.98 / (p*2,010*918.009/100*1) + 4*1e3*11,897.4 / (p*2,0102*918.009/100*1)
= 1.15 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 42,268.11 / (p*2,010*918.009/100*1) + 4*1e3*9,825.5 / (p*2,0102*918.009/100*1)
= 1.07 mm Loading due to wind, empty & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*17,374.32 / (p*2,010*1,203.264/100*0.55) + 4*1e3*11,843.4 / (p*2,0102*1,203.264/100*0.55)
= 0.31 mm
V-8601 368
Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*16,850.81 / (p*2,010*1,203.264/100*0.55) + 4*1e3*9,773 / (p*2,0102*1,203.264/100*0.55)
= 0.22 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 17,374.32 / (p*2,010*821.06/100*1) + 4*1e3*11,843.4 / (p*2,0102*821.06/100*1)
= 0.79 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 16,850.81 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 0.7 mm Loading due to wind, empty & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*20,928.87 / (p*2,010*1,203.264/100*0.55) + 4*1e3*11,897.4 / (p*2,0102*1,203.264/100*0.55)
= 0.27 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*20,181 / (p*2,010*1,203.264/100*0.55) + 4*1e3*9,825.5 / (p*2,0102*1,203.264/100*0.55)
= 0.18 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 20,928.87 / (p*2,010*918.009/100*1) + 4*1e3*11,897.4 / (p*2,0102*918.009/100*1)
= 0.77 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 20,181 / (p*2,010*918.009/100*1) + 4*1e3*9,825.5 / (p*2,0102*918.009/100*1)
= 0.69 mm Loading due to wind, test & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*34,378.57 / (p*2,010*1,203.264/100*0.55) + 4*1e3*11,843.4 / (p*2,0102*1,203.264/100*0.55)
= 0.0704 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*33,855.06 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 0.0167 mm
V-8601 369
Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 34,378.57 / (p*2,010*821.06/100*1) + 4*1e3*11,843.4 / (p*2,0102*821.06/100*1)
= 1.12 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 33,855.06 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 1.03 mm Loading due to wind, test & new Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*37,628.42 / (p*2,010*1,203.264/100*0.55) + 4*1e3*11,897.4 / (p*2,0102*1,203.264/100*0.55)
= 0.0263 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*36,880.55 / (p*2,010*918.009/100*1) + 4*1e3*9,825.5 / (p*2,0102*918.009/100*1)
= 0.0444 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 37,628.42 / (p*2,010*918.009/100*1) + 4*1e3*11,897.4 / (p*2,0102*918.009/100*1)
= 1.06 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 36,880.55 / (p*2,010*918.009/100*1) + 4*1e3*9,825.5 / (p*2,0102*918.009/100*1)
= 0.97 mm Loading due to wind, vacuum & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*39,760.2 / (p*2,010*821.06/100*1) + 4*1e3*11,843.4 / (p*2,0102*821.06/100*1)
= 0.0055 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*39,236.69 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 0.0789 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 39,760.2 / (p*2,010*821.06/100*1) + 4*1e3*11,843.4 / (p*2,0102*821.06/100*1)
= 1.22 mm
V-8601 370
Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 39,236.69 / (p*2,010*821.06/100*1) + 4*1e3*9,773 / (p*2,0102*821.06/100*1)
= 1.13 mm Loading due to vortex shedding, operating & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*39,760.2 / (p*2,010*1,203.264/100*0.55) + 4*1e3*28,050.6 / (p*2,0102*1,203.264/100*0.55)
= 0.76 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*39,236.69 / (p*2,010*1,203.264/100*0.55) + 4*1e3*24,003.2 / (p*2,0102*1,203.264/100*0.55)
= 0.58 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 39,760.2 / (p*2,010*821.06/100*1) + 4*1e3*28,050.6 / (p*2,0102*821.06/100*1)
= 1.84 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 39,236.69 / (p*2,010*821.06/100*1) + 4*1e3*24,003.2 / (p*2,0102*821.06/100*1)
= 1.68 mm Loading due to vortex shedding, empty & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*17,374.32 / (p*2,010*1,203.264/100*0.55) + 4*1e3*67,926.8 / (p*2,0102*1,203.264/100*0.55)
= 2.99 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*16,850.81 / (p*2,010*1,203.264/100*0.55) + 4*1e3*59,010 / (p*2,0102*1,203.264/100*0.55)
= 2.57 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 17,374.32 / (p*2,010*821.06/100*1) + 4*1e3*67,926.8 / (p*2,0102*821.06/100*1)
= 2.94 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 16,850.81 / (p*2,010*821.06/100*1) + 4*1e3*59,010 / (p*2,0102*821.06/100*1)
= 2.59 mm
V-8601 371
Loading due to vortex shedding, vacuum & corroded Windward side (tensile) Required thickness, tensile stress at base: t = -0.6*W / (p*D*St*E) + 4*M / (p*D2*St*E)
= -0.6*39,760.2 / (p*2,010*1,203.264/100*0.55) + 4*1e3*28,050.6 / (p*2,0102*1,203.264/100*0.55)
= 0.76 mm Required thickness, tensile stress at the top: t = -0.6*Wt / (p*Dt*St*E) + 4*Mt / (p*Dt
2*St*E)
= -0.6*39,236.69 / (p*2,010*1,203.264/100*0.55) + 4*1e3*24,003.2 / (p*2,0102*1,203.264/100*0.55)
= 0.58 mm Leeward side (compressive) Required thickness, compressive stress at base: t = W / (p*D*Sc*Ec) + 4*M / (p*D2*Sc*Ec)
= 39,760.2 / (p*2,010*821.06/100*1) + 4*1e3*28,050.6 / (p*2,0102*821.06/100*1)
= 1.84 mm Required thickness, compressive stress at the top: t = Wt / (p*Dt*Sc*Ec) + 4*Mt / (p*Dt
2*Sc*Ec)
= 39,236.69 / (p*2,010*821.06/100*1) + 4*1e3*24,003.2 / (p*2,0102*821.06/100*1)
= 1.68 mm
V-8601 372
Skirt Base Ring Base configuration: double base plate Foundation compressive strength: 116.569 kgf/cm2 Concrete ultimate 28-day strength: 210.921 kgf/cm2 Anchor bolt material: A 36 Anchor bolt allowable stress, Sb: 1,406.138 kgf/cm2 Bolt circle, BC: 2,155.83 mm Anchor bolt corrosion allowance (applied to root radius): 3 mm Anchor bolt clearance: 1.5 mm Base plate material: Base plate allowable stress, Sp: 1,406.138 kgf/cm2 Base plate inner diameter, Di: 1,882.78 mm Base plate outer diameter, Do: 2,289.18 mm Base plate thickness, tb: 27 mm Gusset separation, w: 127 mm Gusset height, h: 244.48 mm Gusset thickness, tg: 15.88 mm Compression ring width: 133.35 mm Compression ring thickness, tc: 41.28 mm Initial bolt preload: 0 % (0 kgf/cm2) Number of bolts, N: 8 Bolt size and type: 1.875 inch series 8 threaded Bolt root area (corroded), Ab: 11.0471 cm2 Diameter of anchor bolt holes, db: 49.13 mm
Load Vessel condition
Base M (kgf-m)
W (kg)
Requiredbolt area
(cm2)
tr Base(mm)
Foundationbearing stress
(kgf/cm2)
tr compring
(mm)
tr gusset (mm)
Wind operating, corroded 11,843.4 40,404.5 0 13.2 4.9232 0 0
Wind operating, new 11,897.4 43,660.3 0 13.54 5.179 0 0
Wind empty, corroded 11,843.4 18,018.6 0.9924 12.56 4.4555 7.39 4.63
Wind empty, new 11,897.4 21,573.2 0.8117 12.74 4.589 6.17 4.6
Wind test, corroded 11,843.4 35,022.9 0.0854 12.64 4.5144 3.13 4.54
Wind test, new 11,897.4 38,272.7 0 12.99 4.7697 0 0
Wind vacuum, corroded 11,843.4 40,404.5 0 13.2 4.9232 0 0
Vortex shedding operating, corroded 28,050.6 40,404.5 2.4716 19.24 10.4644 11.9 4.81
Vortex shedding empty, corroded 67,926.8 18,018.6 10.2428 26.1 19.2523 29.25 6.55
Vortex shedding vacuum, corroded 28,050.6 40,404.5 2.4716 19.24 10.4644 11.9 4.81
Anchor bolt load (operating, corroded + Wind) P = -0.6*W / N + 4 * M / (N*BC) = -0.6*40,404.52 / 8 + 4 * 11,843.4 / (8*2.1558) = -283.5 kgf The anchor bolts are satisfactory (no net uplift on anchor bolt)
V-8601 373
Foundation bearing stress (operating, corroded + Wind) Ac = pi*(Do
2 - Di2) / 4 - N*pi*db
2 / 4 = p*(228.91752 - 188.27752) / 4 - 8*p*4.91252 / 4 = 13,164.64 cm2 Ic = p*(Do
4 - Di4) / 64
= p*(228.91754 - 188.27754) / 64 = 7.3116E+07 cm4 fc = N*Ab*Preload / Ac + W / Ac + M / 2*Do / Ic = 8*14.8645*0 / 13,164.64 + 40,404.52 / 13,164.64 + 10*11,843.4 / 2*2,289.18 / 7.3116E+07 = 4.923 kgf/cm2 As fc <= 116.569 kgf/cm2 the base plate width is satisfactory. Base plate required thickness (operating, corroded + Wind) From Brownell & Young, Table 10.3:, l / b = 0.1957 Mx = 0.01*0.0046*4.923*687.842 = 106.7 kgf My = 0.01*-0.4577*4.923*134.592 = -408.2 kgf tr = (6*Mmax / Sp)0.5 = (100*6*408.2 / 1,406.138)0.5 = 13.2 mm The base plate thickness is satisfactory. Check the compression ring for bolt load (Jawad & Farr equation 12.13) tcr = (3.91*F / (Sy*(2*b / w+w / (2*l)-db*(2 / w+1 / (2*l)))))0.5 = (100*3.91*0 / (2,531.048*(2*133.35 / 127+127 / (2*67.92)-49.13*(2 / 127+1 / (2*67.92)))))0.5 = 0 mm The compression ring thickness is satisfactory. Check gusset plate thickness (Bednar chapter 4.3) Radius of gyration of gusset r = 0.289*tg = 0.289*15.88 = 4.59 mm Cross sectional area of one gusset Ag = tg*(b - 0.25*25.41) = 0.01*15.88*(134.59 - 0.25*25.41) = 20.3577 cm2 Gusset allowable stress Sa = 0.07031*(17000 - 0.485*(h / r)2) = 1,195.27 - 0.0341*(244.48 / 4.59)2 = 1,098.393 kgf/cm2 Gusset axial stress due to bolt load Sg = F / (2 * Ag) = 0 / (2 * 20.3577) = 0 kgf/cm2 The gusset plate thickness is satisfactory.
V-8601 374
Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59) t = 1.76*(F*l / (Mb*hc*Ss))2 / 3*(ODs / 2)1 / 3 = 1.76*(100*0*67.91 / (793.25*312.75*1,804.896))2 / 3*(2,020 / 2)1 / 3 = 0 mm The skirt thickness is satisfactory. Note: No local skirt reaction is present because the foundation resists the initial bolt preload. Anchor bolt load (operating, new + Wind) P = -0.6*W / N + 4 * M / (N*BC) = -0.6*43,660.31 / 8 + 4 * 11,897.4 / (8*2.1558) = -515.15 kgf The anchor bolts are satisfactory (no net uplift on anchor bolt) Foundation bearing stress (operating, new + Wind) Ac = pi*(Do
2 - Di2) / 4 - N*pi*db
2 / 4 = p*(228.91752 - 188.27752) / 4 - 8*p*4.91252 / 4 = 13,164.64 cm2 Ic = p*(Do
4 - Di4) / 64
= p*(228.91754 - 188.27754) / 64 = 7.3116E+07 cm4 fc = N*Ab*Preload / Ac + W / Ac + M / 2*Do / Ic = 8*14.8645*0 / 13,164.64 + 43,660.31 / 13,164.64 + 10*11,897.4 / 2*2,289.18 / 7.3116E+07 = 5.179 kgf/cm2 As fc <= 116.569 kgf/cm2 the base plate width is satisfactory. Base plate required thickness (operating, new + Wind) From Brownell & Young, Table 10.3:, l / b = 0.1957 Mx = 0.01*0.0046*5.179*687.842 = 112.2 kgf My = 0.01*-0.4577*5.179*134.592 = -429.4 kgf tr = (6*Mmax / Sp)0.5 = (100*6*429.41 / 1,406.138)0.5 = 13.54 mm The base plate thickness is satisfactory. Check the compression ring for bolt load (Jawad & Farr equation 12.13) tcr = (3.91*F / (Sy*(2*b / w+w / (2*l)-db*(2 / w+1 / (2*l)))))0.5 = (100*3.91*0 / (2,531.048*(2*133.35 / 127+127 / (2*67.92)-49.13*(2 / 127+1 / (2*67.92)))))0.5 = 0 mm The compression ring thickness is satisfactory.
V-8601 375
Check gusset plate thickness (Bednar chapter 4.3) Radius of gyration of gusset r = 0.289*tg = 0.289*15.88 = 4.59 mm Cross sectional area of one gusset Ag = tg*(b - 0.25*25.41) = 0.01*15.88*(134.59 - 0.25*25.41) = 20.3577 cm2 Gusset allowable stress Sa = 0.07031*(17000 - 0.485*(h / r)2) = 1,195.27 - 0.0341*(244.48 / 4.59)2 = 1,098.393 kgf/cm2 Gusset axial stress due to bolt load Sg = F / (2 * Ag) = 0 / (2 * 20.3577) = 0 kgf/cm2 The gusset plate thickness is satisfactory. Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59) t = 1.76*(F*l / (Mb*hc*Ss))2 / 3*(ODs / 2)1 / 3 = 1.76*(100*0*67.91 / (793.25*312.75*1,804.896))2 / 3*(2,020 / 2)1 / 3 = 0 mm The skirt thickness is satisfactory. Note: No local skirt reaction is present because the foundation resists the initial bolt preload. Anchor bolt load (empty, corroded + Wind) P = -0.6*W / N + 4 * M / (N*BC) = -0.6*18,018.64 / 8 + 4 * 11,843.4 / (8*2.1558) = 1,395.44 kgf Required area per bolt = P / Sb = 0.9924 cm2 The area provided (11.0471 cm2) by the specified anchor bolt is adequate. Support calculations (Jawad & Farr chapter 12, empty, corroded + Wind) Base plate width, tc: 203.2 mm Average base plate diameter, d: 2,085.98 mm Base plate elastic modulus, Es: 2,038,900.1 kgf/cm2 Base plate yield stress, Sy: 2,531.048 kgf/cm2
Ec = 57,000*0.265154*Sqr(210.921) = 219,499.448 kgf/cm2 n = Es/Ec = 2,038,900.1 / 219,499.448 = 9.2889 ts = (N*Ab) / (p*d) = (8*1,486.4486) / (p*2,085.98) = 1.81 mm
V-8601 376
From table 12.4 for k = 0.478036: K1 = 2.0499, K2 = 1.9496 L1 = 1.8037, L2 = 33.6305, L3 = 30.8662 Total tensile force on bolting T = (M - 0.6*W *(L1 + L3)) / (L2 + L3) = (11,843.4 - 0.6*18,018.64 *(0.0458 + 0.784)) / (0.8542 + 0.784) = 1,753.18 kgf Tensile stress in bolts use the larger of fs or bolt preload = 0 kgf/cm2 fs = T / (ts * (d / 2) * K1) = 100*1,753.18 / (1.81 * (2,085.98 / 2) * 2.0499) = 45.189 kgf/cm2 Total compressive load on foundation Cc = T + W + Bolt Preload = 1,753.18 + 18,018.64 + 0 = 19,771.82 kgf Foundation bearing stress fc = Cc / (((tc - ts) + n*ts)*(d / 2)*K2) = 100*19,771.82 / (((203.2 - 1.81) + 9.2889*1.81)*(2,085.98 / 2)*1.9496) = 4.455 kgf/cm2 As fc <= 116.569 kgf/cm2 the base plate width is satisfactory. k = 1 / (1 + fs / (n*fc)) = 1 / (1 + 45.189 / (9.2889*4.455)) = 0.478036 Base plate required thickness (empty, corroded + Wind) From Brownell & Young, Table 10.3:, l / b = 0.1957 Mx = 0.01*0.0046*4.455*687.842 = 96.5 kgf My = 0.01*-0.4577*4.455*134.592 = -369.4 kgf tr = (6*Mmax / Sp)0.5 = (100*6*369.42 / 1,406.138)0.5 = 12.56 mm The base plate thickness is satisfactory. Check the compression ring for bolt load (Jawad & Farr equation 12.13) tcr = (3.91*F / (Sy*(2*b / w+w / (2*l)-db*(2 / w+1 / (2*l)))))0.5 = (100*3.91*671.72 / (2,531.048*(2*133.35 / 127+127 / (2*67.92)-49.13*(2 / 127+1 / (2*67.92)))))0.5 = 7.39 mm The compression ring thickness is satisfactory.
V-8601 377
Check gusset plate thickness (Bednar chapter 4.3) Radius of gyration of gusset r = 0.289*tg = 0.289*15.88 = 4.59 mm Cross sectional area of one gusset Ag = tg*(b - 0.25*25.41) = 0.01*15.88*(134.59 - 0.25*25.41) = 20.3577 cm2 Gusset allowable stress Sa = 0.07031*(17000 - 0.485*(h / r)2) = 1,195.27 - 0.0341*(244.48 / 4.59)2 = 1,098.393 kgf/cm2 Gusset axial stress due to bolt load Sg = F / (2 * Ag) = 671.72 / (2 * 20.3577) = 16.498 kgf/cm2 The gusset plate thickness is satisfactory. Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59) t = 1.76*(F*l / (Mb*hc*Ss))2 / 3*(ODs / 2)1 / 3 = 1.76*(100*671.72*67.91 / (793.25*312.75*1,804.896))2 / 3*(2,020 / 2)1 / 3 = 0.83 mm The skirt thickness is satisfactory. Anchor bolt load (empty, new + Wind) P = -0.6*W / N + 4 * M / (N*BC) = -0.6*21,573.2 / 8 + 4 * 11,897.4 / (8*2.1558) = 1,141.38 kgf Required area per bolt = P / Sb = 0.8117 cm2 The area provided (14.8645 cm2) by the specified anchor bolt is adequate. Support calculations (Jawad & Farr chapter 12, empty, new + Wind) Base plate width, tc: 203.2 mm Average base plate diameter, d: 2,085.98 mm Base plate elastic modulus, Es: 2,038,900.1 kgf/cm2 Base plate yield stress, Sy: 2,531.048 kgf/cm2
Ec = 57,000*0.265154*Sqr(210.921) = 219,499.448 kgf/cm2 n = Es/Ec = 2,038,900.1 / 219,499.448 = 9.2889 ts = (N*Ab) / (p*d) = (8*1,486.4486) / (p*2,085.98) = 1.81 mm
V-8601 378
From table 12.4 for k = 0.575399: K1 = 1.8243, K2 = 2.1692 L1 = -6.1866, L2 = 27.487, L3 = 36.9659 Total tensile force on bolting T = (M - 0.6*W *(L1 + L3)) / (L2 + L3) = (11,897.4 - 0.6*21,573.2 *(-0.1571 + 0.9389)) / (0.6982 + 0.9389) = 1,086.04 kgf Tensile stress in bolts use the larger of fs or bolt preload = 0 kgf/cm2 fs = T / (ts * (d / 2) * K1) = 100*1,086.04 / (1.81 * (2,085.98 / 2) * 1.8243) = 31.456 kgf/cm2 Total compressive load on foundation Cc = T + W + Bolt Preload = 1,086.04 + 21,573.2 + 0 = 22,659.24 kgf Foundation bearing stress fc = Cc / (((tc - ts) + n*ts)*(d / 2)*K2) = 100*22,659.24 / (((203.2 - 1.81) + 9.2889*1.81)*(2,085.98 / 2)*2.1692) = 4.589 kgf/cm2 As fc <= 116.569 kgf/cm2 the base plate width is satisfactory. k = 1 / (1 + fs / (n*fc)) = 1 / (1 + 31.456 / (9.2889*4.589)) = 0.575399 Base plate required thickness (empty, new + Wind) From Brownell & Young, Table 10.3:, l / b = 0.1957 Mx = 0.01*0.0046*4.589*687.842 = 99.4 kgf My = 0.01*-0.4577*4.589*134.592 = -380.5 kgf tr = (6*Mmax / Sp)0.5 = (100*6*380.5 / 1,406.138)0.5 = 12.74 mm The base plate thickness is satisfactory. Check the compression ring for bolt load (Jawad & Farr equation 12.13) tcr = (3.91*F / (Sy*(2*b / w+w / (2*l)-db*(2 / w+1 / (2*l)))))0.5 = (100*3.91*467.57 / (2,531.048*(2*133.35 / 127+127 / (2*67.92)-49.13*(2 / 127+1 / (2*67.92)))))0.5 = 6.17 mm The compression ring thickness is satisfactory. Check gusset plate thickness (Bednar chapter 4.3) Radius of gyration of gusset r = 0.289*tg = 0.289*15.88 = 4.59 mm
V-8601 379
Cross sectional area of one gusset Ag = tg*(b - 0.25*25.41) = 0.01*15.88*(134.59 - 0.25*25.41) = 20.3577 cm2 Gusset allowable stress Sa = 0.07031*(17000 - 0.485*(h / r)2) = 1,195.27 - 0.0341*(244.48 / 4.59)2 = 1,098.393 kgf/cm2 Gusset axial stress due to bolt load Sg = F / (2 * Ag) = 467.57 / (2 * 20.3577) = 11.484 kgf/cm2 The gusset plate thickness is satisfactory. Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59) t = 1.76*(F*l / (Mb*hc*Ss))2 / 3*(ODs / 2)1 / 3 = 1.76*(100*467.57*67.91 / (793.25*312.75*1,804.896))2 / 3*(2,020 / 2)1 / 3 = 0.65 mm The skirt thickness is satisfactory. Anchor bolt load (test, corroded + Wind) P = -0.6*W / N + 4 * M / (N*BC) = -0.6*35,022.89 / 8 + 4 * 11,843.4 / (8*2.1558) = 120.12 kgf Required area per bolt = P / Sb = 0.0854 cm2 The area provided (11.0471 cm2) by the specified anchor bolt is adequate. Foundation bearing stress (test, corroded + Wind) Ac = pi*(Do
2 - Di2) / 4 - N*pi*db
2 / 4 = p*(228.91752 - 188.27752) / 4 - 8*p*4.91252 / 4 = 13,164.64 cm2 Ic = p*(Do
4 - Di4) / 64
= p*(228.91754 - 188.27754) / 64 = 7.3116E+07 cm4 fc = N*Ab*Preload / Ac + W / Ac + M / 2*Do / Ic = 8*14.8645*0 / 13,164.64 + 35,022.89 / 13,164.64 + 10*11,843.4 / 2*2,289.18 / 7.3116E+07 = 4.514 kgf/cm2 As fc <= 116.569 kgf/cm2 the base plate width is satisfactory. Base plate required thickness (test, corroded + Wind) From Brownell & Young, Table 10.3:, l / b = 0.1957 Mx = 0.01*0.0046*4.514*687.842 = 97.8 kgf My = 0.01*-0.4577*4.514*134.592 = -374.3 kgf tr = (6*Mmax / Sp)0.5 = (100*6*374.31 / 1,406.138)0.5 = 12.64 mm The base plate thickness is satisfactory.
V-8601 380
Check the compression ring for bolt load (Jawad & Farr equation 12.13) tcr = (3.91*F / (Sy*(2*b / w+w / (2*l)-db*(2 / w+1 / (2*l)))))0.5 = (100*3.91*120.12 / (2,531.048*(2*133.35 / 127+127 / (2*67.92)-49.13*(2 / 127+1 / (2*67.92)))))0.5 = 3.13 mm The compression ring thickness is satisfactory. Check gusset plate thickness (Bednar chapter 4.3) Radius of gyration of gusset r = 0.289*tg = 0.289*15.88 = 4.59 mm Cross sectional area of one gusset Ag = tg*(b - 0.25*25.41) = 0.01*15.88*(134.59 - 0.25*25.41) = 20.3577 cm2 Gusset allowable stress Sa = 0.07031*(17000 - 0.485*(h / r)2) = 1,195.27 - 0.0341*(244.48 / 4.59)2 = 1,098.393 kgf/cm2 Gusset axial stress due to bolt load Sg = F / (2 * Ag) = 120.12 / (2 * 20.3577) = 2.95 kgf/cm2 The gusset plate thickness is satisfactory. Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59) t = 1.76*(F*l / (Mb*hc*Ss))2 / 3*(ODs / 2)1 / 3 = 1.76*(100*120.12*67.91 / (793.25*312.75*1,804.896))2 / 3*(2,020 / 2)1 / 3 = 0.26 mm The skirt thickness is satisfactory. Anchor bolt load (test, new + Wind) P = -0.6*W / N + 4 * M / (N*BC) = -0.6*38,272.75 / 8 + 4 * 11,897.4 / (8*2.1558) = -111.09 kgf The anchor bolts are satisfactory (no net uplift on anchor bolt) Foundation bearing stress (test, new + Wind) Ac = pi*(Do
2 - Di2) / 4 - N*pi*db
2 / 4 = p*(228.91752 - 188.27752) / 4 - 8*p*4.91252 / 4 = 13,164.64 cm2 Ic = p*(Do
4 - Di4) / 64
= p*(228.91754 - 188.27754) / 64 = 7.3116E+07 cm4
V-8601 381
fc = N*Ab*Preload / Ac + W / Ac + M / 2*Do / Ic = 8*14.8645*0 / 13,164.64 + 38,272.75 / 13,164.64 + 10*11,897.4 / 2*2,289.18 / 7.3116E+07 = 4.77 kgf/cm2 As fc <= 116.569 kgf/cm2 the base plate width is satisfactory. Base plate required thickness (test, new + Wind) From Brownell & Young, Table 10.3:, l / b = 0.1957 Mx = 0.01*0.0046*4.77*687.842 = 103.4 kgf My = 0.01*-0.4577*4.77*134.592 = -395.5 kgf tr = (6*Mmax / Sp)0.5 = (100*6*395.48 / 1,406.138)0.5 = 12.99 mm The base plate thickness is satisfactory. Check the compression ring for bolt load (Jawad & Farr equation 12.13) tcr = (3.91*F / (Sy*(2*b / w+w / (2*l)-db*(2 / w+1 / (2*l)))))0.5 = (100*3.91*0 / (2,531.048*(2*133.35 / 127+127 / (2*67.92)-49.13*(2 / 127+1 / (2*67.92)))))0.5 = 0 mm The compression ring thickness is satisfactory. Check gusset plate thickness (Bednar chapter 4.3) Radius of gyration of gusset r = 0.289*tg = 0.289*15.88 = 4.59 mm Cross sectional area of one gusset Ag = tg*(b - 0.25*25.41) = 0.01*15.88*(134.59 - 0.25*25.41) = 20.3577 cm2 Gusset allowable stress Sa = 0.07031*(17000 - 0.485*(h / r)2) = 1,195.27 - 0.0341*(244.48 / 4.59)2 = 1,098.393 kgf/cm2 Gusset axial stress due to bolt load Sg = F / (2 * Ag) = 0 / (2 * 20.3577) = 0 kgf/cm2 The gusset plate thickness is satisfactory. Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59) t = 1.76*(F*l / (Mb*hc*Ss))2 / 3*(ODs / 2)1 / 3 = 1.76*(100*0*67.91 / (793.25*312.75*1,804.896))2 / 3*(2,020 / 2)1 / 3 = 0 mm The skirt thickness is satisfactory. Note: No local skirt reaction is present because the foundation resists the initial bolt preload.
V-8601 382
Anchor bolt load (vacuum, corroded + Wind) P = -0.6*W / N + 4 * M / (N*BC) = -0.6*40,404.52 / 8 + 4 * 11,843.4 / (8*2.1558) = -283.5 kgf The anchor bolts are satisfactory (no net uplift on anchor bolt) Foundation bearing stress (vacuum, corroded + Wind) Ac = pi*(Do
2 - Di2) / 4 - N*pi*db
2 / 4 = p*(228.91752 - 188.27752) / 4 - 8*p*4.91252 / 4 = 13,164.64 cm2 Ic = p*(Do
4 - Di4) / 64
= p*(228.91754 - 188.27754) / 64 = 7.3116E+07 cm4 fc = N*Ab*Preload / Ac + W / Ac + M / 2*Do / Ic = 8*14.8645*0 / 13,164.64 + 40,404.52 / 13,164.64 + 10*11,843.4 / 2*2,289.18 / 7.3116E+07 = 4.923 kgf/cm2 As fc <= 116.569 kgf/cm2 the base plate width is satisfactory. Base plate required thickness (vacuum, corroded + Wind) From Brownell & Young, Table 10.3:, l / b = 0.1957 Mx = 0.01*0.0046*4.923*687.842 = 106.7 kgf My = 0.01*-0.4577*4.923*134.592 = -408.2 kgf tr = (6*Mmax / Sp)0.5 = (100*6*408.2 / 1,406.138)0.5 = 13.2 mm The base plate thickness is satisfactory. Check the compression ring for bolt load (Jawad & Farr equation 12.13) tcr = (3.91*F / (Sy*(2*b / w+w / (2*l)-db*(2 / w+1 / (2*l)))))0.5 = (100*3.91*0 / (2,531.048*(2*133.35 / 127+127 / (2*67.92)-49.13*(2 / 127+1 / (2*67.92)))))0.5 = 0 mm The compression ring thickness is satisfactory. Check gusset plate thickness (Bednar chapter 4.3) Radius of gyration of gusset r = 0.289*tg = 0.289*15.88 = 4.59 mm Cross sectional area of one gusset Ag = tg*(b - 0.25*25.41) = 0.01*15.88*(134.59 - 0.25*25.41) = 20.3577 cm2 Gusset allowable stress Sa = 0.07031*(17000 - 0.485*(h / r)2) = 1,195.27 - 0.0341*(244.48 / 4.59)2 = 1,098.393 kgf/cm2
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Gusset axial stress due to bolt load Sg = F / (2 * Ag) = 0 / (2 * 20.3577) = 0 kgf/cm2 The gusset plate thickness is satisfactory. Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59) t = 1.76*(F*l / (Mb*hc*Ss))2 / 3*(ODs / 2)1 / 3 = 1.76*(100*0*67.91 / (793.25*312.75*1,804.896))2 / 3*(2,020 / 2)1 / 3 = 0 mm The skirt thickness is satisfactory. Note: No local skirt reaction is present because the foundation resists the initial bolt preload. Anchor bolt load (operating, corroded + Vortex shedding) P = -0.6*W / N + 4 * M / (N*BC) = -0.6*40,404.52 / 8 + 4 * 28,050.6 / (8*2.1558) = 3,475.42 kgf Required area per bolt = P / Sb = 2.4716 cm2 The area provided (11.0471 cm2) by the specified anchor bolt is adequate. Support calculations (Jawad & Farr chapter 12, operating, corroded + Vortex shedding) Base plate width, tc: 203.2 mm Average base plate diameter, d: 2,085.98 mm Base plate elastic modulus, Es: 2,038,900.1 kgf/cm2 Base plate yield stress, Sy: 2,531.048 kgf/cm2
Ec = 57,000*0.265154*Sqr(210.921) = 219,499.448 kgf/cm2 n = Es/Ec = 2,038,900.1 / 219,499.448 = 9.2889 ts = (N*Ab) / (p*d) = (8*1,486.4486) / (p*2,085.98) = 1.81 mm From table 12.4 for k = 0.453412: K1 = 2.1052, K2 = 1.8923 L1 = 3.8254, L2 = 35.1724, L3 = 29.3102 Total tensile force on bolting T = (M - 0.6*W *(L1 + L3)) / (L2 + L3) = (28,050.6 - 0.6*40,404.52 *(0.0972 + 0.7445)) / (0.8934 + 0.7445) = 4,668.8 kgf Tensile stress in bolts use the larger of fs or bolt preload = 0 kgf/cm2 fs = T / (ts * (d / 2) * K1) = 100*4,668.8 / (1.81 * (2,085.98 / 2) * 2.1052) = 117.178 kgf/cm2 Total compressive load on foundation Cc = T + W + Bolt Preload = 4,668.8 + 40,404.52 + 0 = 45,073.32 kgf
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Foundation bearing stress fc = Cc / (((tc - ts) + n*ts)*(d / 2)*K2) = 100*45,073.32 / (((203.2 - 1.81) + 9.2889*1.81)*(2,085.98 / 2)*1.8923) = 10.464 kgf/cm2 As fc <= 116.569 kgf/cm2 the base plate width is satisfactory. k = 1 / (1 + fs / (n*fc)) = 1 / (1 + 117.178 / (9.2889*10.464)) = 0.453412 Base plate required thickness (operating, corroded + Vortex shedding) From Brownell & Young, Table 10.3:, l / b = 0.1957 Mx = 0.01*0.0046*10.464*687.842 = 226.8 kgf My = 0.01*-0.4577*10.464*134.592 = -867.6 kgf tr = (6*Mmax / Sp)0.5 = (100*6*867.65 / 1,406.138)0.5 = 19.24 mm The base plate thickness is satisfactory. Check the compression ring for bolt load (Jawad & Farr equation 12.13) tcr = (3.91*F / (Sy*(2*b / w+w / (2*l)-db*(2 / w+1 / (2*l)))))0.5 = (100*3.91*1,741.79 / (2,531.048*(2*133.35 / 127+127 / (2*67.92)-49.13*(2 / 127+1 / (2*67.92)))))0.5 = 11.9 mm The compression ring thickness is satisfactory. Check gusset plate thickness (Bednar chapter 4.3) Radius of gyration of gusset r = 0.289*tg = 0.289*15.88 = 4.59 mm Cross sectional area of one gusset Ag = tg*(b - 0.25*25.41) = 0.01*15.88*(134.59 - 0.25*25.41) = 20.3577 cm2 Gusset allowable stress Sa = 0.07031*(17000 - 0.485*(h / r)2) = 1,195.27 - 0.0341*(244.48 / 4.59)2 = 1,098.393 kgf/cm2 Gusset axial stress due to bolt load Sg = F / (2 * Ag) = 1,741.79 / (2 * 20.3577) = 42.78 kgf/cm2 The gusset plate thickness is satisfactory.
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Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59) t = 1.76*(F*l / (Mb*hc*Ss))2 / 3*(ODs / 2)1 / 3 = 1.76*(100*1,741.79*67.91 / (793.25*312.75*1,804.896))2 / 3*(2,020 / 2)1 / 3 = 1.57 mm The skirt thickness is satisfactory. Anchor bolt load (empty, corroded + Vortex shedding) P = -0.6*W / N + 4 * M / (N*BC) = -0.6*18,018.64 / 8 + 4 * 67,926.8 / (8*2.1558) = 14,402.86 kgf Required area per bolt = P / Sb = 10.2428 cm2 The area provided (11.0471 cm2) by the specified anchor bolt is adequate. Support calculations (Jawad & Farr chapter 12, empty, corroded + Vortex shedding) Base plate width, tc: 203.2 mm Average base plate diameter, d: 2,085.98 mm Base plate elastic modulus, Es: 2,038,900.1 kgf/cm2 Base plate yield stress, Sy: 2,531.048 kgf/cm2
Ec = 57,000*0.265154*Sqr(210.921) = 219,499.448 kgf/cm2 n = Es/Ec = 2,038,900.1 / 219,499.448 = 9.2889 ts = (N*Ab) / (p*d) = (8*1,486.4486) / (p*2,085.98) = 1.81 mm From table 12.4 for k = 0.2017: K1 = 2.6571, K2 = 1.2234 L1 = 24.5012, L2 = 50.5276, L3 = 13.1658 Total tensile force on bolting T = (M - 0.6*W *(L1 + L3)) / (L2 + L3) = (67,926.8 - 0.6*18,018.64 *(0.6223 + 0.3344)) / (1.2834 + 0.3344) = 35,593.35 kgf Tensile stress in bolts use the larger of fs or bolt preload = 0 kgf/cm2 fs = T / (ts * (d / 2) * K1) = 100*35,593.35 / (1.81 * (2,085.98 / 2) * 2.6571) = 707.795 kgf/cm2 Total compressive load on foundation Cc = T + W + Bolt Preload = 35,593.35 + 18,018.64 + 0 = 53,611.99 kgf
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Foundation bearing stress fc = Cc / (((tc - ts) + n*ts)*(d / 2)*K2) = 100*53,611.99 / (((203.2 - 1.81) + 9.2889*1.81)*(2,085.98 / 2)*1.2234) = 19.252 kgf/cm2 As fc <= 116.569 kgf/cm2 the base plate width is satisfactory. k = 1 / (1 + fs / (n*fc)) = 1 / (1 + 707.795 / (9.2889*19.252)) = 0.2017 Base plate required thickness (empty, corroded + Vortex shedding) From Brownell & Young, Table 10.3:, l / b = 0.1957 Mx = 0.01*0.0046*19.252*687.842 = 417.2 kgf My = 0.01*-0.4577*19.252*134.592 = -1,596.3 kgf tr = (6*Mmax / Sp)0.5 = (100*6*1,596.29 / 1,406.138)0.5 = 26.1 mm The base plate thickness is satisfactory. Check the compression ring for bolt load (Jawad & Farr equation 12.13) tcr = (3.91*F / (Sy*(2*b / w+w / (2*l)-db*(2 / w+1 / (2*l)))))0.5 = (100*3.91*10,521.02 / (2,531.048*(2*133.35 / 127+127 / (2*67.92)-49.13*(2 / 127+1 / (2*67.92)))))0.5 = 29.25 mm The compression ring thickness is satisfactory. Check gusset plate thickness (Bednar chapter 4.3) Radius of gyration of gusset r = 0.289*tg = 0.289*15.88 = 4.59 mm Cross sectional area of one gusset Ag = tg*(b - 0.25*25.41) = 0.01*15.88*(134.59 - 0.25*25.41) = 20.3577 cm2 Gusset allowable stress Sa = 0.07031*(17000 - 0.485*(h / r)2) = 1,195.27 - 0.0341*(244.48 / 4.59)2 = 1,098.393 kgf/cm2 Gusset axial stress due to bolt load Sg = F / (2 * Ag) = 10,521.02 / (2 * 20.3577) = 258.404 kgf/cm2 The gusset plate thickness is satisfactory.
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Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59) t = 1.76*(F*l / (Mb*hc*Ss))2 / 3*(ODs / 2)1 / 3 = 1.76*(100*10,521.02*67.91 / (793.25*312.75*1,804.896))2 / 3*(2,020 / 2)1 / 3 = 5.2 mm The skirt thickness is satisfactory. Anchor bolt load (vacuum, corroded + Vortex shedding) P = -0.6*W / N + 4 * M / (N*BC) = -0.6*40,404.52 / 8 + 4 * 28,050.6 / (8*2.1558) = 3,475.42 kgf Required area per bolt = P / Sb = 2.4716 cm2 The area provided (11.0471 cm2) by the specified anchor bolt is adequate. Support calculations (Jawad & Farr chapter 12, vacuum, corroded + Vortex shedding) Base plate width, tc: 203.2 mm Average base plate diameter, d: 2,085.98 mm Base plate elastic modulus, Es: 2,038,900.1 kgf/cm2 Base plate yield stress, Sy: 2,531.048 kgf/cm2
Ec = 57,000*0.265154*Sqr(210.921) = 219,499.448 kgf/cm2 n = Es/Ec = 2,038,900.1 / 219,499.448 = 9.2889 ts = (N*Ab) / (p*d) = (8*1,486.4486) / (p*2,085.98) = 1.81 mm From table 12.4 for k = 0.453412: K1 = 2.1052, K2 = 1.8923 L1 = 3.8254, L2 = 35.1724, L3 = 29.3102 Total tensile force on bolting T = (M - 0.6*W *(L1 + L3)) / (L2 + L3) = (28,050.6 - 0.6*40,404.52 *(0.0972 + 0.7445)) / (0.8934 + 0.7445) = 4,668.8 kgf Tensile stress in bolts use the larger of fs or bolt preload = 0 kgf/cm2 fs = T / (ts * (d / 2) * K1) = 100*4,668.8 / (1.81 * (2,085.98 / 2) * 2.1052) = 117.178 kgf/cm2 Total compressive load on foundation Cc = T + W + Bolt Preload = 4,668.8 + 40,404.52 + 0 = 45,073.32 kgf
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Foundation bearing stress fc = Cc / (((tc - ts) + n*ts)*(d / 2)*K2) = 100*45,073.32 / (((203.2 - 1.81) + 9.2889*1.81)*(2,085.98 / 2)*1.8923) = 10.464 kgf/cm2 As fc <= 116.569 kgf/cm2 the base plate width is satisfactory. k = 1 / (1 + fs / (n*fc)) = 1 / (1 + 117.178 / (9.2889*10.464)) = 0.453412 Base plate required thickness (vacuum, corroded + Vortex shedding) From Brownell & Young, Table 10.3:, l / b = 0.1957 Mx = 0.01*0.0046*10.464*687.842 = 226.8 kgf My = 0.01*-0.4577*10.464*134.592 = -867.6 kgf tr = (6*Mmax / Sp)0.5 = (100*6*867.65 / 1,406.138)0.5 = 19.24 mm The base plate thickness is satisfactory. Check the compression ring for bolt load (Jawad & Farr equation 12.13) tcr = (3.91*F / (Sy*(2*b / w+w / (2*l)-db*(2 / w+1 / (2*l)))))0.5 = (100*3.91*1,741.79 / (2,531.048*(2*133.35 / 127+127 / (2*67.92)-49.13*(2 / 127+1 / (2*67.92)))))0.5 = 11.9 mm The compression ring thickness is satisfactory. Check gusset plate thickness (Bednar chapter 4.3) Radius of gyration of gusset r = 0.289*tg = 0.289*15.88 = 4.59 mm Cross sectional area of one gusset Ag = tg*(b - 0.25*25.41) = 0.01*15.88*(134.59 - 0.25*25.41) = 20.3577 cm2 Gusset allowable stress Sa = 0.07031*(17000 - 0.485*(h / r)2) = 1,195.27 - 0.0341*(244.48 / 4.59)2 = 1,098.393 kgf/cm2 Gusset axial stress due to bolt load Sg = F / (2 * Ag) = 1,741.79 / (2 * 20.3577) = 42.78 kgf/cm2 The gusset plate thickness is satisfactory.
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Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59) t = 1.76*(F*l / (Mb*hc*Ss))2 / 3*(ODs / 2)1 / 3 = 1.76*(100*1,741.79*67.91 / (793.25*312.75*1,804.896))2 / 3*(2,020 / 2)1 / 3 = 1.57 mm The skirt thickness is satisfactory.
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The local stress in the WRC 107 calculation are excessive.
A stiffener beam is required to prevent the ring section from being over stressed from tail lug loading.
Added tailing beam on skirt base ring
Beam material SS400
Yeild strength of material = Ys = 2531 kg/cm2
Beam length = L = 3124 mm
Beam size H-150x150x7x10
Elasticity of material = E = 10800
Raduis gyraion of beam = r = 63.9 mm
Section area of beam = a = 40.14 cm2
Maximum Load = W = 2300 kg
L/r = < 60
Allowable tensile stress = 0.6Ys = 1518.6 kg/cm2
Stress at beam = W/a = 57.2994519 kg/cm2 Acceptable
Reference : AISC specification, Code and Standard.
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APPENDIX I : Calculation Stress Design for Support Demister
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Stress Analysis Anchor bolt and Support for Demister.Material of demister for internal part A 240 TP 304Yeild strength of support demister = γd = 205 N/mm2
Allowable shear stress of support demister = Sd = 0.4γd82 N/mm2
Material of anchor bolt for internal par SS304Yeild strength of anchor bolt = γa = 205 N/mm2
Allowable shear stress of anchor bolt = Sa = 0.4γd82 MPa
Bolt size = D = M10Section area of bolt = Ab = 55.1 mm2
Dimeter of bolt holes = d = 12 mmNumber of bolt holes = N1 = 4
Outside Effective Demister Diameter = Di = 1990 mm
Back Pressure (Design as Internal Pressure) = Pi = 3.5 bar (g)
Weight of internal part = W1 = 392 N
Weight of liquid = W2 = 4,900 N
Load for Pressure = W3 = PiD/4= 1,741 N
Safety factor = k = 2Total = W4 = k(W1+W2+W3)
= 14,067 NWidth of Demister l = 56 mmBending Moment Load at Clip Support = M = W4*l
= 14,067 N-mmThickness of Support Demister = td = 6 mmHight of Support Demister = h = 50 mmSection Modulus = Z = th2/4
= 3,750 mm3
Area of support demister = Ad = 81,053.090 mm2
Shear stress at bolt = σa = (W/N1)/Ab < Sa
= 63.82259528 N/mm2 PASSShear stress at support demister (Method I) = σah = W/Ad < Sd
= 0.173546746 N/mm2 PASSShear stress at support demister (Method II) = M/Z < 0.6σah
= 3.751066667 N/mm2 PASS
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Support Ring Removable Calculation
Length of Support Ring Removable = L = 400 mmArea of support demister = As = 2,400.000 mm2
Load form Support Ring Removable = W5 = W4/L35.16625 N
Shear stress at support demister = σah = W5/As < Sd
= 0.01 N/mm2 PASSShear stress at bolt = σa = (W5/N1)/Ab < Sa
= 0.159556488 N/mm2 PASSWeld Stress:Weld stress, tensile, bending and shere during weight: (Demister)Direct shear:Shear stress of weight angle = α = 90 Deg.Weight = W4 = 14,067 NLength of weld = = 50 mmAllowable Stress, Weld Shear, τal = = 68 N/mm2
Thickness of weld = = 6 mm.Thickness of support = = 6 mm.
Aweld = 2(0.707)tw(L+t)
= 475 mm2
τt = Wr(cos(α))/Aweld
= 1.814E-15 N/mm2
τs = Wr(sin(α))/Aweld
= 29.607202 N/mm2τb = Mc/I
= 2.534 N/mm2τratio = sqr((τt+τb)
2+τs2)/τallowable
= 0.4369918 <=1 PASSWeld sizeBending Moment = Mb = 411,445 NmmTreat weld as line = Sx = d2/3
= 833.33333 mmForce from bending moment = σb = M/Sx
= 493.73 N/mmForce from shear force = σs = P/A
= 29.61 N/mmTotal force = qT = sqr(σb
2+σs2)
= 494.62106 N/mm
Allowable stress = 0.3σu
weld size = x = 0.0151036 mmThere fore we choose the weld size = 6 mm.
Diamension will show after drawing demister finished
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