Memoria de Calcula de Tubuladora N Prima

[Escriba aqu]

DESING REQUIREMNTS ASME SECCION VIII DIVISION 1 (UG-22)

SHOP ORDER No. OT-045-15

ASME SECCION VIII DIVISION 1 EDICION 2013 ADDENDA N/A

APPLY ELEMENTS

YES NO x INTERNAL PRESSURE x EXTERNAL PRESSURE

DRAWING: AFA-001/2013 PAG 1 - 3

DESIGN

SECTION VIII DIVISION 1

EDITION 2013

[Escriba aqu]

S.O. AFA-XXX/2015

Rev 0 Ref:

Section VIII DIV 1 Fecha:

18 MAYO 2015 Design: S.I.P.L

Approver: M.M.G.

TUBULADORA N PRIMA

[Escriba aqu] BOQUILLA N PRIMA

ASME Section VIII Division 1, 2013 Edition

Component PIPE N PRIMA

Material SA-106 B Smls pipe (II-D p. 14, ln. 19)

Pipe NPS and Schedule NPS 6 Sch 160

Impact Tested

Normalized Fine Grain

Practice PWHT

Optimize MDMT/ Find MAWP

No No No No No

Design

Pressure (psi) Design

Temperature (F) Design

MDMT (F)

Internal 110 449.6 -20

External 113 449

Static Liquid Head

Condition Ps (psi) Hs (in) SG

Test horizontal 0.19 5.187 1

Dimensions

Inner Diameter 5.187"

Length 30"

Nominal Thickness 0.719"

Corrosion Inner 0"

Outer 0"

[Escriba aqu]

Weight and Capacity

Weight (lb) Capacity (US gal)

New 113.26 2.58

Corroded 113.26 2.58

Radiography

Longitudinal seam Seamless No RT

Results Summary

Governing condition External pressure

Minimum thickness per UG-16 0.0625" + 0" = 0.0625"

Design thickness due to internal pressure (t) 0.0168"

Design thickness due to external pressure (te) 0.0899"

Maximum allowable working pressure (MAWP) 3,621.05 psi

Maximum allowable pressure (MAP) 3,621.05 psi

Maximum allowable external pressure (MAEP) 1,963.9 psi

Rated MDMT -30.37 F

[Escriba aqu]

UCS-66 Material Toughness Requirements

Governing thickness, tg = 0.6291"

Exemption temperature from Fig UCS-66 Curve B = 5.33F

tr = 2,438.18*2.5935 / (17,100*1 - 0.6*2,438.18) = 0.4044"

Stress ratio = tr*E* / (tn - c) = 0.4044*1 / (0.6291 - 0) = 0.6428

Reduction in MDMT, TR from Fig UCS-66.1 = 35.7F

MDMT = max[ MDMT - TR, -55] = max[ 5.33 - 35.7 , -55] = -30.37F

Material is exempt from impact testing at the Design MDMT of -20F.

Design thickness, (at 449.6 F) UG-27(c)(1)

t = P*R / (S*E - 0.60*P) + Corrosion

= 110*2.5935 / (17,100*1.00 - 0.60*110) + 0

= 0.0168"

Maximum allowable working pressure, (at 449.6 F) UG-27(c)(1)

P = S*E*t / (R + 0.60*t) - Ps

= 17,100*1.00*(0.719*0.875) / (2.5935 + 0.60*(0.719*0.875)) - 0

= 3,621.05 psi

Maximum allowable pressure, (at 70 F) UG-27(c)(1)

P = S*E*t / (R + 0.60*t)

= 17,100*1.00*(0.719*0.875) / (2.5935 + 0.60*(0.719*0.875))

= 3,621.05 psi

External Pressure, (Corroded & at 449 F) UG-28(c)

[Escriba aqu] L / Do = 28.156 / 6.625 = 4.2500

Do / t = 6.625 / 0.0899 = 73.7258

From table G: A = 0.000461

From table CS-2: B = 6,248.3243 psi

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

= 4*6,248.32 / (3*(6.625 / 0.0899))

= 113 psi

Design thickness for external pressure Pa = 113 psi

ta = t + Corrosion = 0.0899 + 0 = 0.0899"

Maximum Allowable External Pressure, (Corroded & at 449 F) UG-28(c)

L / Do = 28.156 / 6.625 = 4.2500

Do / t = 6.625 / (0.719*0.875) = 10.5305

From table G: A = 0.011532

From table CS-2: B = 15,510.6675 psi

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

= 4*15,510.67 / (3*(6.625 / (0.719*0.875)))

= 1,963.9 psi

Nozzle #1 (N1 prima) ASME Section VIII Division 1, 2013 Edition

[Escriba aqu]

Note: round inside edges per UG-76(c)

Location and Orientation

Located on Cylinder #1

Orientation 0

Nozzle center line offset to datum line 266.36"

End of nozzle to shell center 51.0825"

Passes through a Category A joint No

Nozzle

Description NPS 6 Sch 160

Access opening No

Material specification SA-106 B Smls pipe (II-D p. 14, ln. 19)

Inside diameter, new 5.187"

Nominal wall thickness 0.719"

[Escriba aqu]

Corrosion allowance 0"

Projection available outside vessel, Lpr 6"

Internal projection, hnew 1"

Local vessel minimum thickness 0.4375"

Liquid static head included 0 psi

Longitudinal joint efficiency 1

Reinforcing Pad

Material specification SA-516 70 (II-D p. 22, ln. 6)

Diameter, Dp 10.625"

Thickness, te 0.25"

Is split No

Welds

Inner Fillet, Leg41 0.25"

Outer Fillet, Leg42 0.1875"

Lower Fillet, Leg43 0.5"

Pad groove weld 0.25"

[Escriba aqu]

UCS-66 Material Toughness Requirements Nozzle


Exemption temperature from Fig UCS-66 Curve B = -13F

tr = 110.02*44.77 / (20,000*1 - 0.6*110.02) = 0.2471"

Stress ratio = tr*E* / (tn - c) = 0.2471*1 / (0.4375 - 0.125) = 0.7907


MDMT = max[ MDMT - TR, -55] = max[ -13 - 20.9 , -55] = -33.9F


UCS-66 Material Toughness Requirements Pad


Exemption temperature from Fig UCS-66 Curve B = -20F

tr = 110.02*44.77 / (20,000*1 - 0.6*110.02) = 0.2471"

Stress ratio = tr*E* / (tn - c) = 0.2471*1 / (0.4375 - 0.125) = 0.7907


MDMT = max[ MDMT - TR, -55] = max[ -20 - 20.9 , -55] = -40.9F


Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (in2) UG-45 Summary (in)

[Escriba aqu]

For P = 119 psi @ 490 F The opening is adequately reinforced

The nozzle passes UG-45

A required

A available A1 A2 A3 A5

A welds treq tmin

1.4424 3.0337 0.2248 0.9364 0.7935 0.9373 0.1417 0.245 0.6291

UG-41 Weld Failure Path Analysis Summary (lbf)

All failure paths are stronger than the applicable weld loads

Weld load W

Weld load W1-1

Path 1-1 strength

Weld load W2-2

Path 2-2 strength

Weld load W3-3

Path 3-3 strength

25,463.19 38,541 110,510.25 45,117.25 88,330.59 63,862.25 58,694.72

UW-16 Weld Sizing Summary

Weld description Required weld size (in)

Actual weld size (in) Status

Nozzle to pad fillet (Leg41) 0.175 0.175 weld size is adequate

Pad to shell fillet (Leg42) 0.125 0.1312 weld size is adequate

Nozzle to inside shell fillet (Leg43) 0.2188 0.225

(corroded) weld size is adequate

Calculations for internal pressure 119 psi @ 490 F Parallel Limit of reinforcement per UG-40

LR = MAX(d, Rn + (tn - Cn) + (t - C))

= MAX(5.187, 2.5935 + (0.719 - 0) + (0.4375 - 0.125))

[Escriba aqu]

= 5.187 in

Outer Normal Limit of reinforcement per UG-40

LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)

= MIN(2.5*(0.4375 - 0.125), 2.5*(0.719 - 0) + 0.25)

= 0.7813 in

Inner Normal Limit of reinforcement per UG-40

LI = MIN(h, 2.5*(t - C), 2.5*(ti - Cn - C))

= MIN(0.875, 2.5*(0.4375 - 0.125), 2.5*(0.719 - 0 - 0.125))

= 0.7813 in

Nozzle required thickness per UG-27(c)(1)

trn = P*Rn / (Sn*E - 0.6*P)

= 119*2.5935 / (17,100*1 - 0.6*119)

= 0.0181 in

Required thickness tr from UG-37(a)

tr = P*R / (S*E - 0.6*P)

= 119*44.77 / (20,000*1 - 0.6*119)

= 0.2673 in

Area required per UG-37(c)

Allowable stresses: Sn = 17,100, Sv = 20,000, Sp = 20,000 psi fr1 = lesser of 1 or Sn / Sv = 0.855 fr2 = lesser of 1 or Sn / Sv = 0.855

[Escriba aqu] fr3 = lesser of fr2 or Sp / Sv = 0.855 fr4 = lesser of 1 or Sp / Sv = 1

A = d*tr*F + 2*tn*tr*F*(1 - fr1)

= 5.187*0.2673*1 + 2*0.719*0.2673*1*(1 - 0.855)

= 1.4424 in2

Area available from FIG. UG-37.1

A1 = larger of the following= 0.2248 in2

= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)

= 5.187*(1*0.3125 - 1*0.2673) - 2*0.719*(1*0.3125 - 1*0.2673)*(1 - 0.855)

= 0.2248 in2

= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)

= 2*(0.3125 + 0.719)*(1*0.3125 - 1*0.2673) - 2*0.719*(1*0.3125 - 1*0.2673)*(1 - 0.855)

= 0.0837 in2

A2 = smaller of the following= 0.9364 in2

= 5*(tn - trn)*fr2*t

= 5*(0.719 - 0.0181)*0.855*0.3125

= 0.9364 in2

= 2*(tn - trn)*(2.5*tn + te)*fr2

= 2*(0.719 - 0.0181)*(2.5*0.719 + 0.25)*0.855

= 2.454 in2

[Escriba aqu] A3 = smaller of the following= 0.7935 in2

= 5*t*ti*fr2

= 5*0.3125*0.594*0.855

= 0.7935 in2

= 5*ti*ti*fr2

= 5*0.594*0.594*0.855

= 1.5084 in2

= 2*h*ti*fr2

= 2*0.875*0.594*0.855

= 0.8888 in2

A41

= Leg2*fr3

= 0.252*0.855

= 0.0534 in2

A42

= Leg2*fr4

= 02*1

= 0 in2

(Part of the weld is outside of the limits)

A43

= Leg2*fr2

[Escriba aqu]

= 0.32142*0.855

= 0.0883 in2

A5 = (Dp - d - 2*tn)*te*fr4

= (10.374 - 5.187 - 2*0.719)*0.25*1

= 0.9373 in2

Area

= A1 + A2 + A3 + A41 + A42 + A43 + A5

= 0.2248 + 0.9364 + 0.7935 + 0.0534 + 0 + 0.0883 + 0.9373

= 3.0337 in2

As Area >= A the reinforcement is adequate.

UW-16(d) Weld Check

Inner fillet: tmin = lesser of 0.75 or tn or te = 0.25 in

tc(min) = lesser of 0.25 or 0.7*tmin = 0.175 in

tc(actual) = 0.7*Leg = 0.7*0.25 = 0.175 in

Outer fillet: tmin = lesser of 0.75 or te or t = 0.25 in

tw(min) = 0.5*tmin = 0.125 in

tw(actual) = 0.7*Leg = 0.7*0.1875 = 0.1313 in

Lower fillet: tmin = lesser of 0.75 or tn or t = 0.3125 in

tw(min) = 0.7*tmin = 0.2188 in

tw(actual) = 0.7*Leg = 0.7*0.3214 = 0.225 in

[Escriba aqu]

UG-45 Nozzle Neck Thickness Check

ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion

= 119*2.5935 / (17,100*1 - 0.6*119) + 0

= 0.0181 in

ta = max[ ta UG-27 , ta UG-22 ]

= max[ 0.0181 , 0 ]

= 0.0181 in

tb1 = P*R / (S*E - 0.6*P) + Corrosion

= 119*44.77 / (20,000*1 - 0.6*119) + 0.125

= 0.3923 in

tb1 = max[ tb1 , tb UG16 ]

= max[ 0.3923 , 0.0625 ]

= 0.3923 in

tb = min[ tb3 , tb1 ]

= min[ 0.245 , 0.3923 ]

= 0.245 in

tUG-45 = max[ ta , tb ]

= max[ 0.0181 , 0.245 ]

= 0.245 in

[Escriba aqu] Available nozzle wall thickness new, tn = 0.875*0.719 = 0.6291 in The nozzle neck thickness is adequate.

Allowable stresses in joints UG-45 and UW-15(c)

Nozzle wall in shear: 0.7*17,100 = 11,970 psi

Inner fillet weld in shear: 0.49*17,100 = 8,379 psi

Outer fillet weld in shear: 0.49*20,000 = 9,800 psi

Upper groove weld in tension: 0.74*20,000 = 14,800 psi

Lower fillet weld in shear: 0.49*17,100 = 8,379 psi

Strength of welded joints:

(1) Inner fillet weld in shear (p / 2)*Nozzle OD*Leg*Si = (p / 2)*6.625*0.25*8,379 = 21,799.07 lbf (2) Outer fillet weld in shear (p / 2)*Pad OD*Leg*So = (p / 2)*10.625*0.1875*9,800 = 30,667.34 lbf (3) Nozzle wall in shear (p / 2)*Mean nozzle dia*tn*Sn = (p / 2)*5.906*0.719*11,970 = 79,842.91 lbf (5) Lower fillet weld in shear (p / 2)*Nozzle OD*Leg*Sl = (p / 2)*6.625*0.3214*8,379 = 28,027.38 lbf (6) Upper groove weld in tension (p / 2)*Nozzle OD*tw*Sg = (p / 2)*6.625*0.25*14,800 = 38,504.14 lbf

Loading on welds per UG-41(b)(1)

W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv

= (1.4424 - 0.2248 + 2*0.719*0.855*(1*0.3125 - 1*0.2673))*20,000

= 25,463.19 lbf

[Escriba aqu] W1-1

= (A2 + A5 + A41 + A42)*Sv

= (0.9364 + 0.9373 + 0.0534 + 0)*20,000

= 38,541 lbf

W2-2

= (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv

= (0.9364 + 0.7935 + 0.0534 + 0.0883 + 2*0.719*0.3125*0.855)*20,000

= 45,117.25 lbf

W3-3

= (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv

= (0.9364 + 0.7935 + 0.9373 + 0.0534 + 0 + 0.0883 + 2*0.719*0.3125*0.855)*20,000

= 63,862.25 lbf

Load for path 1-1 lesser of W or W1-1 = 25,463.19 lbf Path 1-1 through (2) & (3) = 30,667.34 + 79,842.91 = 110,510.25 lbf 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 = 25,463.19 lbf Path 2-2 through (1), (5), (6) = 21,799.07 + 28,027.38 + 38,504.14 = 88,330.59 lbf 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 = 25,463.19 lbf Path 3-3 through (2), (5) = 30,667.34 + 28,027.38 = 58,694.72 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).

Reinforcement Calculations for MAWP

The vessel wall thickness governs the MAWP of this nozzle.


[Escriba aqu]

For P = 139.02 psi @ 490 F The opening is adequately reinforced


A required


A welds treq tmin

1.686 2.8047 -- 0.9322 0.7935 0.9373 0.1417 0.245 0.6291



Weld load W

Weld load W1-1

Path 1-1 strength

Weld load W2-2

Path 2-2 strength

Weld load W3-3

Path 3-3 strength

33,721.1 38,457 110,510.25 45,033.25 88,330.59 63,778.25 58,694.72








Calculations for internal pressure 139.02 psi @ 490 F Parallel Limit of reinforcement per UG-40

LR = MAX(d, Rn + (tn - Cn) + (t - C))

= MAX(5.187, 2.5935 + (0.719 - 0) + (0.4375 - 0.125))

[Escriba aqu]

= 5.187 in


LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)

= MIN(2.5*(0.4375 - 0.125), 2.5*(0.719 - 0) + 0.25)

= 0.7813 in


LI = MIN(h, 2.5*(t - C), 2.5*(ti - Cn - C))

= MIN(0.875, 2.5*(0.4375 - 0.125), 2.5*(0.719 - 0 - 0.125))

= 0.7813 in


trn = P*Rn / (Sn*E - 0.6*P)

= 139.015*2.5935 / (17,100*1 - 0.6*139.015)

= 0.0212 in


tr = P*R / (S*E - 0.6*P)

= 139.015*44.77 / (20,000*1 - 0.6*139.015)

= 0.3125 in




A = d*tr*F + 2*tn*tr*F*(1 - fr1)

= 5.187*0.3125*1 + 2*0.719*0.3125*1*(1 - 0.855)

= 1.686 in2


A1 = larger of the following= 0 in2


= 5.187*(1*0.3125 - 1*0.3125) - 2*0.719*(1*0.3125 - 1*0.3125)*(1 - 0.855)

= 0 in2


= 2*(0.3125 + 0.719)*(1*0.3125 - 1*0.3125) - 2*0.719*(1*0.3125 - 1*0.3125)*(1 - 0.855)

= 0 in2



= 5*(0.719 - 0.0212)*0.855*0.3125

= 0.9322 in2

= 2*(tn - trn)*(2.5*tn + te)*fr2

= 2*(0.719 - 0.0212)*(2.5*0.719 + 0.25)*0.855

= 2.4432 in2


= 5*t*ti*fr2

= 5*0.3125*0.594*0.855

= 0.7935 in2

= 5*ti*ti*fr2

= 5*0.594*0.594*0.855

= 1.5084 in2

= 2*h*ti*fr2

= 2*0.875*0.594*0.855

= 0.8888 in2

A41

= Leg2*fr3

= 0.252*0.855

= 0.0534 in2

A42

= Leg2*fr4

= 02*1

= 0 in2


A43

= Leg2*fr2

[Escriba aqu]

= 0.32142*0.855

= 0.0883 in2

A5 = (Dp - d - 2*tn)*te*fr4

= (10.374 - 5.187 - 2*0.719)*0.25*1

= 0.9373 in2

Area

= A1 + A2 + A3 + A41 + A42 + A43 + A5

= 0 + 0.9322 + 0.7935 + 0.0534 + 0 + 0.0883 + 0.9373

= 2.8047 in2


UW-16(d) Weld Check



tc(actual) = 0.7*Leg = 0.7*0.25 = 0.175 in


tw(min) = 0.5*tmin = 0.125 in

tw(actual) = 0.7*Leg = 0.7*0.1875 = 0.1313 in


tw(min) = 0.7*tmin = 0.2188 in

tw(actual) = 0.7*Leg = 0.7*0.3214 = 0.225 in

[Escriba aqu]



= 139.015*2.5935 / (17,100*1 - 0.6*139.015) + 0

= 0.0212 in


= max[ 0.0212 , 0 ]

= 0.0212 in


= 139.015*44.77 / (20,000*1 - 0.6*139.015) + 0.125

= 0.4375 in


= max[ 0.4375 , 0.0625 ]

= 0.4375 in


= min[ 0.245 , 0.4375 ]

= 0.245 in


= max[ 0.0212 , 0.245 ]

= 0.245 in











W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv

= (1.686 - 0 + 2*0.719*0.855*(1*0.3125 - 1*0.3125))*20,000

= 33,721.1 lbf

[Escriba aqu] W1-1

= (A2 + A5 + A41 + A42)*Sv

= (0.9322 + 0.9373 + 0.0534 + 0)*20,000

= 38,457 lbf

W2-2

= (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv

= (0.9322 + 0.7935 + 0.0534 + 0.0883 + 2*0.719*0.3125*0.855)*20,000

= 45,033.25 lbf

W3-3

= (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv

= (0.9322 + 0.7935 + 0.9373 + 0.0534 + 0 + 0.0883 + 2*0.719*0.3125*0.855)*20,000

= 63,778.25 lbf

Load for path 1-1 lesser of W or W1-1 = 33,721.1 lbf Path 1-1 through (2) & (3) = 30,667.34 + 79,842.91 = 110,510.25 lbf 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 = 33,721.1 lbf Path 2-2 through (1), (5), (6) = 21,799.07 + 28,027.38 + 38,504.14 = 88,330.59 lbf 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 = 33,721.1 lbf Path 3-3 through (2), (5) = 30,667.34 + 28,027.38 = 58,694.72 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).

Reinforcement Calculations for MAP

The vessel wall thickness governs the MAP of this nozzle.


[Escriba aqu]

For P = 194.84 psi @ 70 F The opening is adequately reinforced


A required


A welds treq tmin

2.3605 3.7229 -- 1.289 1.2295 0.9373 0.2672 0.245 0.6291



Weld load W

Weld load W1-1

Path 1-1 strength

Weld load W2-2

Path 2-2 strength

Weld load W3-3

Path 3-3 strength

47,209.88 45,593 110,510.25 66,471.84 103,901.35 85,216.84 74,265.48








Calculations for internal pressure 194.84 psi @ 70 F Parallel Limit of reinforcement per UG-40

LR = MAX(d, Rn + (tn - Cn) + (t - C))

= MAX(5.187, 2.5935 + (0.719 - 0) + (0.4375 - 0))

[Escriba aqu]

= 5.187 in


LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)

= MIN(2.5*(0.4375 - 0), 2.5*(0.719 - 0) + 0.25)

= 1.0938 in


LI = MIN(h, 2.5*(t - C), 2.5*(ti - Cn - C))

= MIN(1, 2.5*(0.4375 - 0), 2.5*(0.719 - 0 - 0))

= 1 in


trn = P*Rn / (Sn*E - 0.6*P)

= 194.8384*2.5935 / (17,100*1 - 0.6*194.8384)

= 0.0298 in


tr = P*R / (S*E - 0.6*P)

= 194.8384*44.645 / (20,000*1 - 0.6*194.8384)

= 0.4375 in




A = d*tr*F + 2*tn*tr*F*(1 - fr1)

= 5.187*0.4375*1 + 2*0.719*0.4375*1*(1 - 0.855)

= 2.3605 in2


A1 = larger of the following= 0 in2


= 5.187*(1*0.4375 - 1*0.4375) - 2*0.719*(1*0.4375 - 1*0.4375)*(1 - 0.855)

= 0 in2


= 2*(0.4375 + 0.719)*(1*0.4375 - 1*0.4375) - 2*0.719*(1*0.4375 - 1*0.4375)*(1 - 0.855)

= 0 in2



= 5*(0.719 - 0.0298)*0.855*0.4375

= 1.289 in2

= 2*(tn - trn)*(2.5*tn + te)*fr2

= 2*(0.719 - 0.0298)*(2.5*0.719 + 0.25)*0.855

= 2.413 in2


= 5*t*ti*fr2

= 5*0.4375*0.719*0.855

= 1.3448 in2

= 5*ti*ti*fr2

= 5*0.719*0.719*0.855

= 2.21 in2

= 2*h*ti*fr2

= 2*1*0.719*0.855

= 1.2295 in2

A41

= Leg2*fr3

= 0.252*0.855

= 0.0534 in2

A42

= Leg2*fr4

= 02*1

= 0 in2


A43

= Leg2*fr2

[Escriba aqu]

= 0.52*0.855

= 0.2138 in2

A5 = (Dp - d - 2*tn)*te*fr4

= (10.374 - 5.187 - 2*0.719)*0.25*1

= 0.9373 in2

Area

= A1 + A2 + A3 + A41 + A42 + A43 + A5

= 0 + 1.289 + 1.2295 + 0.0534 + 0 + 0.2138 + 0.9373

= 3.7229 in2


UW-16(d) Weld Check



tc(actual) = 0.7*Leg = 0.7*0.25 = 0.175 in


tw(min) = 0.5*tmin = 0.125 in

tw(actual) = 0.7*Leg = 0.7*0.1875 = 0.1313 in


tw(min) = 0.7*tmin = 0.3063 in

tw(actual) = 0.7*Leg = 0.7*0.5 = 0.35 in

[Escriba aqu]



= 194.8384*2.5935 / (17,100*1 - 0.6*194.8384) + 0

= 0.0298 in


= max[ 0.0298 , 0 ]

= 0.0298 in


= 194.8384*44.645 / (20,000*1 - 0.6*194.8384) + 0

= 0.4375 in


= max[ 0.4375 , 0.0625 ]

= 0.4375 in


= min[ 0.245 , 0.4375 ]

= 0.245 in


= max[ 0.0298 , 0.245 ]

= 0.245 in











W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv

= (2.3605 - 0 + 2*0.719*0.855*(1*0.4375 - 1*0.4375))*20,000

= 47,209.88 lbf

[Escriba aqu] W1-1

= (A2 + A5 + A41 + A42)*Sv

= (1.289 + 0.9373 + 0.0534 + 0)*20,000

= 45,593 lbf

W2-2

= (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv

= (1.289 + 1.2295 + 0.0534 + 0.2138 + 2*0.719*0.4375*0.855)*20,000

= 66,471.84 lbf

W3-3

= (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv

= (1.289 + 1.2295 + 0.9373 + 0.0534 + 0 + 0.2138 + 2*0.719*0.4375*0.855)*20,000

= 85,216.84 lbf

Load for path 1-1 lesser of W or W1-1 = 45,593 lbf Path 1-1 through (2) & (3) = 30,667.34 + 79,842.91 = 110,510.25 lbf 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 = 47,209.88 lbf Path 2-2 through (1), (5), (6) = 21,799.07 + 43,598.14 + 38,504.14 = 103,901.35 lbf 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 = 47,209.88 lbf Path 3-3 through (2), (5) = 30,667.34 + 43,598.14 = 74,265.48 lbf Path 3-3 is stronger than W so it is acceptable per UG-41(b)(2).

[Escriba aqu]

Memoria de Calcula de Tubuladora N Prima

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