Design Calculations for V2703 Rev 0

MECHANICAL DESIGN FOR ASME VESSEL

Doc no : CPC/RSS/SRF/ 002 rev 0 Date 7-Aug-13

CONTENTS:-

Sr.No. DESCRIPTION PAGE

1 1.1 Design data for shell design 2

2 2.1 Internal pressure results for Shell 3

2.2 Summary of internal pressure results 3

2.3 Hydrotest pressure measured at high point 3

3 3.1 External pressure results for shell 4

3.2 Summary of external pressure results : 4

3.3 Results for Maximum Length Calculation: No Conversion 5

3.4 Summary of external pressure results : 5

4 4.1 Design Input Data for Dish Design 6

5 5.1 Internal pressure results, for torrispherical dish 7

5.2 Summary of internal pressre results 7

5.3 Hydrostatic Test Pressures ( Measured at High Point ) 7

6 6.1 External pressure results, for torrispherical dish 8

6.2 Results for Max. Allowable External Pressure (Emawp):

6.3 Results for Reqd Thickness for Ext. Pressure (Tca):

6.4 Summary of External Pressure Results: 8

7 7.1 Weight and Volume Results, Original Thickness: 97 7.1 Weight and Volume Results, Original Thickness: 9

7.2 Weight and Volume Results, Corroded Thickness: 9

1.1) Design Input Data for Shell Design

Design Code : ASME Section VIII Divn 1

Client's Specs. : ---

Project No : ---

Equipment No : -----

Fluid : ------

Material : SA-516 Gr 70.N

Design Internal pressure Pint = 3.0 kgf./cm2

Temperature for internal pessure = 70.0oC

Design external pressure PEXT = 0.50 kgf./cm2

Temperature for external pessure = 70.0oC

External pressure chart name = CS-2

Include hydrostatic head components = YES Kpa

Operating liquid density = 1400.0 kgm/m3

Height of liquid column (operating) = 2800.0 mm

Height of liquid column (Hydrotest) = 2800.0 mm

Material specification = SA-516 Gr 70.N

Material UNS no

Material form used = Plate

Allowable stress at temperarture S = 1204.20 kgf./cm2

Allowable stress at ambient SA = 1204.20 kgf./cm2

Yield stress at temperature Sy = 2253.50 kgf./cm2

Joint efficiency for shell joint E = 0.85

Design length of section L = 5600.0 mm

Inside dia of cylindrical shell D = 2800.0 mm

Minimum thickness of pipe or plate T = 11.00 mm

Nominal thickness of pipe or plate Tnom = 12.00 mmNominal thickness of pipe or plate Tnom = 12.00 mm

Shell/head Int. corrosion allowance CA = 0.00 mm

Skip UG-16(b) Min thickness calculation No

Type of element Cylindrical shell

2.1) Internal pressure results for Shell

ASME code Section VIII , Division 1 ,2010,2011a

Hydrostatic pressure

= 2800.0 mmlc

= 0.3868 kgf./cm2

Design pressure , P

= Pint + hydrostatic pressure

= 3.3868 kgf./cm2

Inside Rasius ,R

= 1400 mm

Thickness due to internal pressure (Tr)

= (P*(R+CA))/(S*E-0.6*P) per UG-27 (c) (1)

= 4.641587679 mm

Minimum thickness

= 1.5 mm per UG-16(b)

Plate thickness required,Trca

4.6 mm

Plate thickness Provided

= 11.0 mm Remark : Plate thickness selected is OK

Max.allowable working pressure at a given thickness, Corroded ( MAWP)

Less operating hydrostatic head pressure

= ( S*E*(t-CA)/((R+CA)+0.6*(t-CA)) - hydrostatic head per UG-27 (c) (1)

= 7.617772781 kgf./cm2

Max.allowable pressure , New & cold (MAPNC)

= ( SA*E*(t)/((R)+0.6*(t)) per UG-27 (c) (1)

= 8.004599744 kgf./cm2

Actual stress at given pressure & temperature ,Sact

= ((P*(R+CA)+0.6(t-CA)/(E*(t-CA)

= 507.8243581 kgf./cm2

2.2) Summary of internal pressure results :

Actual stress at given pressure & temperature ,Sact 4.6 mm

Actual thickness as per given input 11.0 mm

Maximum allowable working pressure,MAWP 7.62 kgf./cm2

Max.allowable pressure , New & cold (MAPNC) 8.00 kgf./cm2

Design pressure as given in input 3 kgf./cm2

2.3) Hydrotest pressure measured at high point

Hydrotest pressure per UG-99(b) ; 1.3*MAWP*Sa/s 9.90 kgf./cm2

Hydrotest pressure per UG-99(c) ; 1.3*MAPNC-Hydrostatic head 10.02 kgf./cm2

Pmeumatic pressure per UG-100 ; 1.3*MAWP*Sa/S 8.38 kgf./cm2

Test presure as per design perssure ; 1.3*P*Sa/S 3.90 kgf./cm2

3.1) External pressure results for shell

External pressure chart CS-2

Elastic modlus for material 2042253.52 kgf./cm2

Results for maximum allowable pressure (Emawp)

Corroded thickness at shell

= 11.000 mm

Outside dia of shell

= 2822 mm

Design length of shell

= 5600.000 mm

Diameter to thickness ratio ; Do/t

= 256.545

Length to Diameter ratio ; L/Do

= 1.984

Geometry factor A ; from chart f( L/D,Do/t)

= 0.00016

Material Factor B ; from chart

= 167.647 kgf./cm2

Maximum allowable working presssure

= (4*B)/( 3*(Do/t)

= 0.871304985 kgf./cm2= 0.871304985 kgf./cm2

3.2) Results for Reqd Thickness for Ext. Pressure (Tca):


= 8.800 mm


= 2822 mm


= 5600.000 mm


= 320.694


= 1.984


= 0.00011


= 120.134 kgf./cm2


= (4*B)/( 3*(Do/t)

= 0.499475606 kgf./cm2

Page 4

3.3) Results for Maximum Length Calculation: No Conversion


= 11.000 mm


= 2822 mm


= 9522.225 mm


= 256.545


= 3.374


= 0.0000091


= 96.2109 kgf./cm2


= (4*B)/( 3*(Do/t)

= 0.500033026 kgf./cm2

3.4) Summary of external pressure results :

Allowable Pressure at Corroded thickness 0.87 kgf./cm2

Required pressure as enterd in input data 0.50 kgf./cm2

Required Thickness including Corrosion all 8.800 mm

Actual thickness as entered by user 11.000 mm

Maximum Length for Thickness and Pressure 9522 mm

Actual Length as entered by User 5600.000 mm

4.1) Design Input Data for Dish Design

Design Code : ASME Section VIII Divn 1

Client's Specs. : ---

Project No : ---

Equipment No : -----

Fluid : ------

Material : SA-516 Gr 70.N

Design Internal pressure Pint = 3.0 kgf./cm2

Temperature for internal pessure = 70.0oC

Design external pressure PEXT = 0.5 kgf./cm2

Temperature for external pessure = 70.0oC

External pressure chart name = CS-2

Include hydrostatic head components = YES Kpa

Operating liquid density = 1400.0 kgm/m3

Height of liquid column (operating) = 2800.0 mm

Height of liquid column (Hydrotest) = 2800.0 mm

0.00

Material specification = SA-516 Gr 70.N

Material UNS no

Material form used = Plate

Allowable stress at temperarture S = 1204.20 kgf./cm2

Allowable stress at ambient SA = 1204.20 kgf./cm2

Yield stress at temperature Sy = 2253.50 kgf./cm2

Joint efficiency for shell joint E = 1.00

Inside dia of cylindrical shell D = 2800.00 mm

Minimum thickness of pipe or plate T = 12.00 mm

Nominal thickness of pipe or plate Tnom = 12.00 mm

Dish head Int. corrosion allowance CA = 0.00 mm

Inside crown radius of torrispherical head L = 2800.00 mm

Inside knuckle head of torrispherical head r = 350.00 mm

Length of straight flange STRFLG = 50.00

Skip UG-16(b) Min thickness calculation No

Type of element Torrispherical head

5.1) Internal pressure results, for torrispherical dish

ASME Code, Section VIII, Division 1, 2011a

Hydrostatic pressure

= 2800.0 mmlc

= 0.386826963 kgf./cm2

Design pressure , P

= Pint + hydrostatic pressure

= 3.386826963 kgf./cm2

M factor for Torispherical Heads ( Corroded ) [M]:

= (3+Sqrt((L+Ca)/(r+Ca)))/4 per Appendix 1-4 (b & d)

= 1.457106781

Thickness Due to Internal Pressure (Tr):

= (P*(L+CA)*M) / (2*S*E-0.2*P) per Appendix 1-4(d)

= 5.738996551 mm

Minimum thickness

= 1.5 mm per UG-16(b)

Plate thickness required,Trca

5.7 mm

Plate thickness Provided

= 12.0 mm

Remark : Plate thickness selected is OK for int. pressure

Max. All. Working Pressure at Given Thickness (MAWP):

Less Operating Hydrostatic Head Pressure

= (2*S*E*(T-CA)) / (M*(L+CA)+0.2*(T-CA)) -Hydrostatic pressure per Appendix 1-4(d)

= 6.692713289 kgf./cm2= 6.692713289 kgf./cm2

M factor for Torispherical Heads ( New & Cold ) [M]:

= (3+SQRT(L/r))/4 per Appendix 1-4 (b & d)

= 1.457106781

Maximum Allowable Pressure, New and Cold (MAPNC):

= (2*SA*E*T) / (M*L+0.2*T) per Appendix 1-4 (d)

= 7.079540252 kgf./cm2

Actual stress at given pressure and thickness (Sact):

= (P*(M*(L+CA)+0.2*(T-CA-CAEXT))) / (2*E*(T-CA-CAEXT))

= 576.0850117 kgf./cm2

5.2) SUMMARY OF INTERNAL PRESSURE RESULTS:

Required Thickness plus Corrosion Allowance, Trca 5.7 mm

Actual Thickness as Given in Input 12.00 mm

Maximum Allowable Working Pressure MAWP 6.69 kgf./cm2

Maximum Allowable Pressure, NC MAPNC 7.08 kgf./cm2

Design Pressure as Given in Input P 3.00 kgf./cm2

5.3) Hydrostatic Test Pressures ( Measured at High Point ):

Hydrotest per UG-99(b); 1.3 * MAWP * Sa/S 8.70 kgf./cm2

Hydrotest per UG-99(c); 1.3 * MAPNC - Head (Hydro) 8.82 kgf./cm2

Pneumatic per UG-100 ; 1.1 * MAWP * Sa/S 7.36 kgf./cm2

Page 7

6.1) External pressure results, for torrispherical dish

ASME Code, Section VIII, Division 1, 2011a

External Pressure Chart CS-2

Elastic Modulus for Material

= 2042253.52 kgf./cm2

6.2) Results for Max. Allowable External Pressure (Emawp):

Corroded Thickness of Head , TCA

= 12.000 mm

Outside Crown Radius , Ro

= 2812.000 mm

Crown Rad / Thickness Ratio , (Ro/T)

= 234.3333333

Geometry Factor, A

= (0.125/(Ro/T)

= 0.000533428

Materials Factor, B, f(A, Chart) ,B

= 563.054 kgf./cm2

Maximum Allowable Working Pressure ,EMAWP

= B/(Ro/T)

= 2.402790896 kgf./cm2

6.3) Results for Reqd Thickness for Ext. Pressure (Tca):

Corroded Thickness of Head , TCA

= 5.463 mm

Outside Crown Radius , Ro

= 2812.000 mm

Crown Rad / Thickness Ratio , (Ro/T)

= 514.7316607

Geometry Factor, A

= (0.125/(Ro/T)

= 0.000242845

Materials Factor, B, f(A, Chart) ,B

= 257.35 kgf./cm2

Maximum Allowable Working Pressure ,EMAWP

= B/(Ro/T)

= 0.499969245 kgf./cm2

6.4) Summary of External Pressure Results:

Allowable Pressure at Corroded thickness 2.40 kgf./cm2

Required Pressure as entered by User 0.50 kgf./cm2

Required Thickness including Corrosion all. 5.463 mm

Actual Thickness as entered by User 12.000 mm

Page 8

7.1)Weight and Volume Results, Original Thickness:

Inside volume of shell +SF 34464640000 mm^3

Inside volume of SF 307720000 mm^3

Inside volume of dish 2414720000 mm^3

Total volume 37187080000 mm^3

Weight of shell + SF 4663.77 kg

Weight of dishes +SF 1443.36 kg

Total material weight 6107.12 kg

7.2) Weight and Volume Results, Corroded Thickness:

Inside volume of shell +SF 34464640000 mm^3

Inside volume of SF 307720000 mm^3

Inside volume of dish 2414720000 mm^3

Total volume 37187080000 mm^3

Weight of shell + SF 4663.77 kg

Weight of dishes +SF 1443.36 kg

Total material weight 6107.12 kg

Design Calculations for V2703 Rev 0

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