Calculo Recipiente

OPERADORA CICSA S.A. DE C.V.

SWECOMEX

Calle 5 No. 899

Zona Industrial 44940

Guadalajara Jalisco Mexico

COMPRESS Pressure Vessel Design Calculations

Designer: GDELATORREDate: Viernes, Enero 29, 2010

Deficiencies Summary

No deficiencies found.

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Nozzle Schedule

Nozzlemark Service Size

Materials

Nozzle Impact Norm Fine Grain Pad Impact Norm Fine Grain Flange

N1 Nozzle #1 4" Sch 120 SA-106 B Smls pipe No No No N/A N/A N/A N/A WN A105Class 150

N2 Nozzle #2 6" Sch 80 (XS) SA-106 B Smls pipe No No No SA-516 70 No No No WN A105Class 150

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Nozzle Summary

Nozzlemark

OD(in)

tn

(in)Req t

n(in)

A1? A2?Shell Reinforcement

Pad Corr(in)

Aa/A

r(%)

Nom t(in)

Design t(in)

User t(in)

Width(in)

tpad(in)

N1 4.5 0.438 0.3799 Yes Yes 0.5 0.352 N/A N/A 0.125 119.6

N2 6.625 0.432 0.4023 Yes Yes 0.5 0.352 2 0.5 0.125 256.0

tn: Nozzle thicknessReq tn: Nozzle thickness required per UG-45/UG-16Nom t: Vessel wall thicknessDesign t: Required vessel wall thickness due to pressure + corrosion allowance per UG-37User t: Local vessel wall thickness (near opening)Aa: Area available per UG-37, governing conditionAr: Area required per UG-37, governing conditionCorr: Corrosion allowance on nozzle wall

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Pressure Summary

Pressure Summary for Chamber bounded by Ellipsoidal Head #1 and Ellipsoidal Head #2

IdentifierP

Design( psi)

T

Design( °F)

MAP( psi)

MAEP( psi)

Te

external( °F)

MDMT( °F)

MDMTExemption

ImpactTested

Ellipsoidal Head #2 150 250 249.69 38.6 250 -45.8 Note 1 No

Straight Flange on Ellipsoidal Head #2 150 250 330.03 23.86 250 -45.8 Note 2 No

Cylinder #1 150 250 280.53 23.86 300 -45.7 Note 3 No

Straight Flange on Ellipsoidal Head #1 150 250 330.03 23.86 250 -45.8 Note 2 No

Ellipsoidal Head #1 150 250 249.69 38.6 250 -45.8 Note 4 No

Rings #1 N/A N/A N/A 15 300 N/A N/A No

Nozzle #1 (N1) 150 250 150 15 300 -55 Note 5 No

Nozzle #2 (N2) 150 250 150 15 300 -46.5 Nozzle Note 6 No

Pad Note 7 No

Chamber design MDMT is 15 °FChamber rated MDMT is -45.7 °F @ 150 psi

Chamber Design MAWP hot & corroded is 150 psi

Chamber MAP cold & new is 150 psi @ 70 °F

Chamber MAEP is 15 psi @ 250 °FVacuum rings did not govern the external pressure rating.

Notes for Maximum Pressure Rating:

Note # Details

1. Option to calculate MAWP was not selected. See the Calculation->General tab of the Set Mode dialog.

Notes for MDMT Rating:

Note # Exemption Details

1. Straight Flange governs MDMT

2. Material impact test exemption temperature from Fig UCS-66 Curve B = -7 °FFig UCS-66.1 MDMT reduction = 38.8 °F, (coincident ratio = 0.6124659) UCS-66 governing thickness = 0.5 in

3. Material impact test exemption temperature from Fig UCS-66 Curve B = -7 °FFig UCS-66.1 MDMT reduction = 38.7 °F, (coincident ratio = 0.6129608) UCS-66 governing thickness = 0.5 in

4. Straight Flange governs MDMT

5. Flange rating governs: UCS-66(b)(1)(b)

6. Nozzle is impact test exempt to -155 °F per UCS-66(b)(3) (coincident ratio = 0.10476).

7. Pad impact test exemption temperature from Fig UCS-66 Curve B = -7 °FFig UCS-66.1 MDMT reduction = 39.5 °F, (coincident ratio = 0.60523) UCS-66 governing thickness = 0.5 in.

Design notes are available on the Settings Summary page.

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Revision History

No. Date Operator Notes

0 8/23/2010 GUSTAVO New vessel created ASME Section VIII Division 1 [Build 6310]

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Settings Summary

COMPRESS 2010 Build 7000

Units: U.S. Customary

Datum Line Location: 0.00" from right seam

Design

ASME Section VIII Division 1, 2007 Edition

Design or Rating: Get Thickness from PressureMinimum thickness: 0.0625" per UG-16(b)Design for cold shut down only: NoDesign for lethal service (full radiography required): NoDesign nozzles for: Design P onlyCorrosion weight loss: 100% of theoretical lossUG-23 Stress Increase: 1.20Skirt/legs stress increase: 1.0Minimum nozzle projection: 6"Juncture calculations for α > 30 only: YesPreheat P-No 1 Materials > 1.25&#34 and <= 1.50" thick: NoUG-37(a) shell tr calculation considers longitudinal stress: NoButt welds are tapered per Figure UCS-66.3(a).

Hydro/Pneumatic Test

Shop Hydrotest Pressure: 1.3 times design PTest liquid specific gravity: 1.00Maximum stress during test: 90% of yield

Required Marking - UG-116

UG-116 (e) Radiography: RT4UG-116 (f) Postweld heat treatment: None

Code Cases\Interpretations

Use Code Case 2547: NoApply interpretation VIII-1-83-66: NoApply interpretation VIII-1-86-175: YesApply interpretation VIII-1-83-115: NoApply interpretation VIII-1-01-37: YesNo UCS-66.1 MDMT reduction: NoNo UCS-68(c) MDMT reduction: NoDisallow UG-20(f) exemptions: No

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UG-22 Loadings

UG-22 (a) Internal or External Design Pressure : YesUG-22 (b) Weight of the vessel and normal contents under operating or test conditions: NoUG-22 (c) Superimposed static reactions from weight of attached equipment (external loads): NoUG-22 (d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs: NoUG-22 (f) Wind reactions: NoUG-22 (f) Seismic reactions: NoNote: UG-22 (b),(c) and (f) loads only considered when supports are present.

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Thickness Summary

ComponentIdentifier

Material Diameter(in)

Length(in)

Nominal t(in)

Design t(in)

Total Corrosion(in)

JointE

Load

Ellipsoidal Head #2 SA-516 70 60 ID 15.375 0.375* 0.3526 0.125 1.00 Internal

Straight Flange on Ellipsoidal Head #2 SA-516 70 60 ID 2 0.5 0.4379 0.125 1.00 External

Cylinder #1 SA-516 70 60 ID 360 0.5 0.4379 0.125 0.85 External

Straight Flange on Ellipsoidal Head #1 SA-516 70 60 ID 2 0.5 0.4379 0.125 1.00 External

Ellipsoidal Head #1 SA-516 70 60 ID 15.375 0.375* 0.3526 0.125 1.00 Internal

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

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Weight Summary

ComponentWeight ( lb) Contributed by Vessel Elements

Surface Areaft2Metal

New*

Metal

Corroded*Insulation &

Supports Lining Piping+ Liquid

OperatingLiquid

TestLiquid

Ellipsoidal Head #2 500.8 340 0 0 0 1,145.8 1,224.7 34

Cylinder #1 9,674.9 7,271.1 0 0 0 32,646.5 36,757 479

Ellipsoidal Head #1 500.8 340 0 0 0 1,145.8 1,224.7 34

TOTAL: 10,676.4 7,951.1 0 0 0 34,938.1 39,206.5 546

* Shells with attached nozzles have weight reduced by material cut out for opening.

Component

Weight ( lb) Contributed by AttachmentsSurface Area

ft2Body Flanges Nozzles &Flanges Packed

BedsTrays &

SupportsRings &

ClipsVerticalLoads

New Corroded New Corroded

Ellipsoidal Head #2 0 0 0 0 0 0 0 0 0

Cylinder #1 0 0 93.6 80.5 0 0 86.7 0 16

Ellipsoidal Head #1 0 0 0 0 0 0 0 0 0

TOTAL: 0 0 93.6 80.5 0 0 86.7 0 16

Vessel operating weight, Corroded: 43,056 lbVessel operating weight, New: 45,528 lbVessel empty weight, Corroded: 8,118 lbVessel empty weight, New: 10,857 lbVessel test weight, New: 50,063 lbVessel surface area: 562 ft2

Vessel center of gravity location - from datum - lift condition

Vessel Lift Weight, New: 10,857 lbCenter of Gravity: 180.9384"

Vessel Capacity

Vessel Capacity** (New): 4,700 US galVessel Capacity** (Corroded): 4,741 US gal**The vessel capacity does not include volume of nozzle, piping or other attachments.

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Long Seam Summary

Shell Long SeamAngles

Component Seam 1

Cylinder #1 45°

Shell Plate Lengths

Component StartingAngle Plate 1

Cylinder #1 45° 190.0664"

*Plate Lengths use the circumfrence of the vessel based on the mid diameter of the components

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Shell Rollout

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Hydrostatic Test

Shop test pressure determination for Chamber bounded by Ellipsoidal Head #1 and Ellipsoidal Head #2 basedon design P per UG-99(b)

Shop hydrostatic test gauge pressure is 195 psi at 70 °F (the chamber design P = 150 psi)

The shop test is performed with the vessel in the horizontal position.

IdentifierLocal testpressure

psi

Test liquidstatic head

psi

UG-99stressratio

UG-99pressure

factor

Stressduring test

psi

Allowabletest stress

psi

Stressexcessive?

Ellipsoidal Head #2 (1) 197.707 2.707 1 1.30 14,235 34,200 No

Straight Flange on Ellipsoidal Head #2 197.707 2.707 1 1.30 11,961 34,200 No

Cylinder #1 197.707 2.707 1 1.30 11,961 34,200 No

Straight Flange on Ellipsoidal Head #1 197.707 2.707 1 1.30 11,961 34,200 No

Ellipsoidal Head #1 197.707 2.707 1 1.30 14,235 34,200 No

Nozzle #1 (N1) 195.523 0.523 1 1.30 16,452 51,300 No

Nozzle #2 (N2) 195.523 0.523 1 1.30 10,615 51,300 No

Notes:(1) Ellipsoidal Head #2 limits the UG-99 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.(4) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-mostflange.

The field test condition has not been investigated for the Chamber bounded by Ellipsoidal Head #1 and EllipsoidalHead #2.

The test temperature of 70 °F is warmer than the minimum recommended temperature of -15.7 °F so the brittlefracture provision of UG-99(h) has been met.

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Vacuum Summary

Component Line of SupportElevation

above Datum(in)

Length Le(in)

Ellipsoidal Head #2 - 377.375 N/A

- 1/3 depth of Ellipsoidal Head #2 367.0417 N/A

Straight Flange on Ellipsoidal Head #2 Top - 362 187.0417

Straight Flange on Ellipsoidal Head #2 Bottom - 360 187.0417

Cylinder #1 Top - 360 187.0417

- Rings #1 180 187.0417

Cylinder #1 Bottom - 0 187.0417

Straight Flange on Ellipsoidal Head #1 Top - 0 187.0417

Straight Flange on Ellipsoidal Head #1 Bottom - -2 187.0417

- 1/3 depth of Ellipsoidal Head #1 -7.0417 N/A

Ellipsoidal Head #1 - -17.375 N/A

Notes

For main components, the listed value of 'Le' is the largest unsupported length for the component.

For Rings, the listed value of 'Le' is Ls per UG-29.

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Cylinder #1


Component: CylinderMaterial specification: SA-516 70 (II-D p. 18, ln. 22)Material impact test exemption temperature from Fig UCS-66 Curve B = -7 °FFig UCS-66.1 MDMT reduction = 38.7 °F, (coincident ratio = 0.6129608)UCS-66 governing thickness = 0.5 in

Internal design pressure: P = 150 psi @ 250 °FExternal design pressure: Pe = 15 psi @ 300 °F

Static liquid head:

Ps = 1.79psi (SG = 1.1, Hs = 45",Operating head)

Pth = 2.71psi

(SG = 1, Hs = 75", Horizontal testhead)

Corrosion allowance Inner C = 0.125" Outer C = 0"

Design MDMT = 15 °F No impact test performedRated MDMT = -45.7 °F Material is not normalized

Material is not produced to Fine Grain PracticePWHT is not performed

Radiography: Longitudinal joint - Spot UW-11(b) Type 1Left circumferential joint - Spot UW-11(a)(5)b Type 1Right circumferential joint - Spot UW-11(a)(5)b Type 1

Estimated weight New = 9,674.9 lb corr = 7,271.1 lbCapacity New = 4,406.39 US gal corr = 4,443.19 US gal

ID = 60"LengthLc

= 360"

t = 0.5"

Design thickness, (at 250 °F) UG-27(c)(1)

t = P*R / (S*E - 0.60*P) + Corrosion= 151.79*30.125 / (20,000*0.85 - 0.60*151.79) + 0.125= 0.3955"

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

P = S*E*t / (R + 0.60*t)= 20,000*0.85*0.5 / (30 + 0.60*0.5)= 280.53 psi

External Pressure, (Corroded & at 300 °F) UG-28(c)

L /Do

= 187.0417/ 61 = 3.0663

Do/ t = 61 /

0.3129 = 194.9551

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From table G: A = 0.000153From tableCS-2: B = 2,193.2461

psi

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

= 4*2,193.25 / (3*(61 /0.3129))

= 15 psi

Design thickness for external pressure Pa = 15 psi

ta = t +Corrosion = 0.3129

+ 0.125 = 0.4379"

Maximum Allowable External Pressure, (Corroded & at 300 °F) UG-28(c)

L /Do

= 187.0417/ 61 = 3.0663

Do/ t = 61 /

0.375 = 162.6667


psi

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

= 4*2,910.71 / (3*(61 /0.375))

= 23.86 psi

% Extreme fiber elongation - UCS-79(d)

EFE = (50*t / Rf)*(1 - Rf / Ro)= (50*0.5 / 30.25)*(1 - 30.25 / ∞)= 0.8264%

The extreme fiber elongation does not exceed 5%.

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Ellipsoidal Head #2

ASME Section VIII, Division 1, 2007 Edition

Component: Ellipsoidal HeadMaterial Specification: SA-516 70 (II-D p.18, ln. 22)Straight Flange governs MDMT


Static liquid head:

Ps= 1.7868 psi (SG=1.1, Hs=45" Operating head)Pth= 2.7073 psi (SG=1, Hs=75" Horizontal test head)

Corrosion allowance: Inner C = 0.125" Outer C = 0"

Design MDMT = 15°F No impact test performedRated MDMT = -45.8°F Material is not normalized

Material is not produced to fine grain practicePWHT is not performedDo not Optimize MDMT / Find MAWP

Radiography: Category A joints - Seamless No RT Head to shell seam - Spot UW-11(a)(5)(b) Type 1

Estimated weight*: new = 500.8 lb corr = 340 lbCapacity*: new = 146.9 US gal corr = 149.1 US gal* includes straight flange

Inner diameter = 60"Minimum head thickness = 0.375"Head ratio D/2h = 2 (new)Head ratio D/2h = 1.9917 (corroded)Straight flange length Lsf = 2"Nominal straight flange thickness tsf = 0.5"Results Summary

The governing condition is internal pressure.Minimum thickness per UG-16 = 0.0625" + 0.125" = 0.1875"Design thickness due to internal pressure (t) = 0.3526"Design thickness due to external pressure (te) = 0.281"Maximum allowable pressure (MAP) = 249.69 psiMaximum allowable external pressure (MAEP) = 38.6 psi

K (Corroded)

K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (60.25 / (2*15.125))2]=0.994502

K (New)

K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (60 / (2*15))2]=1

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Design thickness for internal pressure, (Corroded at 250 °F) Appendix 1-4(c)

t = P*D*K / (2*S*E - 0.2*P) + Corrosion= 151.79*60.25*0.994502 / (2*20,000*1 - 0.2*151.79) + 0.125= 0.3525"

The head internal pressure design thickness is 0.3526".

Maximum allowable pressure, (New at 70 °F) Appendix 1-4(c)

P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*20,000*1*0.375 / (1*60 +0.2*0.375) - 0= 249.69 psi

The maximum allowable pressure (MAP) is 249.69 psi.

Design thickness for external pressure, (Corroded at 250 °F) UG-33(d)

Equivalent outside spherical radius (Ro)Ro = Ko*Do

= 0.889*60.75= 54.0082 in

A = 0.125 / (Ro / t)= 0.125 / (54.0082 / 0.155989)= 0.000361

From Table CS-2: B=5,193.4546 psi

Pa = B / (Ro / t)= 5,193.455 / (54.0082 / 0.156)= 15 psi

t = 0.156" + Corrosion = 0.156" + 0.125" = 0.281"Check 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*15*60.25*0.994502 / (2*20,000*1 - 0.2*1.67*15) + 0.125= 0.1625"

The head external pressure design thickness (te) is 0.281".

Maximum Allowable External Pressure, (Corroded at 250 °F) UG-33(d)


= 0.889*60.75= 54.0082 in

A = 0.125 / (Ro / t)= 0.125 / (54.0082 / 0.25)= 0.000579


Pa = B / (Ro / t)= 8,339.839 / (54.0082 / 0.25)

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= 38.6045 psi

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*20,000*1*0.25 / ((0.994502*60.25 +0.2*0.25)*1.67) - 0= 99.85 psi

The maximum allowable external pressure (MAEP) is 38.6 psi.


EFE = (75*t / Rf)*(1 - Rf / Ro)= (75*0.5 / 10.45)*(1 - 10.45 / ∞)= 3.5885%


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Straight Flange on Ellipsoidal Head #2


Component: Straight FlangeMaterial specification: SA-516 70 (II-D p. 18, ln. 22)Material impact test exemption temperature from Fig UCS-66 Curve B = -7 °FFig UCS-66.1 MDMT reduction = 38.8 °F, (coincident ratio = 0.6124659)UCS-66 governing thickness = 0.5 in


Static liquid head:


Pth = 2.71psi





Radiography: Longitudinal joint - Seamless No RTCircumferential joint - Spot UW-11(a)(5)b Type 1

Estimated weight New = 53.8 lb corr = 40.4 lbCapacity New = 24.48 US gal corr = 24.68 US gal

ID = 60"LengthLc

= 2"

t = 0.5"




P = S*E*t / (R + 0.60*t)= 20,000*1.00*0.5 / (30 + 0.60*0.5)= 330.03 psi


L /Do

= 187.0417/ 61 = 3.0663

Do/ t = 61 /

0.3129 = 194.9551

From table G: A = 0.000153

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From tableCS-2: B = 2,193.2463

psi

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

= 4*2,193.25 / (3*(61 /0.3129))

= 15 psi



+ 0.125 = 0.4379"


L /Do

= 187.0417/ 61 = 3.0663

Do/ t = 61 /

0.375 = 162.6667


psi

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

= 4*2,910.71 / (3*(61 /0.375))

= 23.86 psi


EFE = (50*t / Rf)*(1 - Rf / Ro)= (50*0.5 / 30.25)*(1 - 30.25 / ∞)= 0.8264%


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Straight Flange on Ellipsoidal Head #1


Component: Straight FlangeMaterial specification: SA-516 70 (II-D p. 18, ln. 22)Material impact test exemption temperature from Fig UCS-66 Curve B = -7 °FFig UCS-66.1 MDMT reduction = 38.8 °F, (coincident ratio = 0.6124659)UCS-66 governing thickness = 0.5 in


Static liquid head:


Pth = 2.71psi





Radiography: Longitudinal joint - Seamless No RTCircumferential joint - Spot UW-11(a)(5)b Type 1

Estimated weight New = 53.8 lb corr = 40.4 lbCapacity New = 24.48 US gal corr = 24.68 US gal

ID = 60"LengthLc

= 2"

t = 0.5"




P = S*E*t / (R + 0.60*t)= 20,000*1.00*0.5 / (30 + 0.60*0.5)= 330.03 psi


L /Do

= 187.0417/ 61 = 3.0663

Do/ t = 61 /

0.3129 = 194.9551

From table G: A = 0.000153

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From tableCS-2: B = 2,193.2461

psi

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

= 4*2,193.25 / (3*(61 /0.3129))

= 15 psi



+ 0.125 = 0.4379"


L /Do

= 187.0417/ 61 = 3.0663

Do/ t = 61 /

0.375 = 162.6667


psi

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

= 4*2,910.71 / (3*(61 /0.375))

= 23.86 psi


EFE = (50*t / Rf)*(1 - Rf / Ro)= (50*0.5 / 30.25)*(1 - 30.25 / ∞)= 0.8264%


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Ellipsoidal Head #1

ASME Section VIII, Division 1, 2007 Edition

Component: Ellipsoidal HeadMaterial Specification: SA-516 70 (II-D p.18, ln. 22)Straight Flange governs MDMT


Static liquid head:

Ps= 1.7868 psi (SG=1.1, Hs=45" Operating head)Pth= 2.7073 psi (SG=1, Hs=75" Horizontal test head)

Corrosion allowance: Inner C = 0.125" Outer C = 0"

Design MDMT = 15°F No impact test performedRated MDMT = -45.8°F Material is not normalized

Material is not produced to fine grain practicePWHT is not performedDo not Optimize MDMT / Find MAWP

Radiography: Category A joints - Seamless No RT Head to shell seam - Spot UW-11(a)(5)(b) Type 1

Estimated weight*: new = 500.8 lb corr = 340 lbCapacity*: new = 146.9 US gal corr = 149.1 US gal* includes straight flange

Inner diameter = 60"Minimum head thickness = 0.375"Head ratio D/2h = 2 (new)Head ratio D/2h = 1.9917 (corroded)Straight flange length Lsf = 2"Nominal straight flange thickness tsf = 0.5"Results Summary

The governing condition is internal pressure.Minimum thickness per UG-16 = 0.0625" + 0.125" = 0.1875"Design thickness due to internal pressure (t) = 0.3526"Design thickness due to external pressure (te) = 0.281"Maximum allowable pressure (MAP) = 249.69 psiMaximum allowable external pressure (MAEP) = 38.6 psi

K (Corroded)

K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (60.25 / (2*15.125))2]=0.994502

K (New)

K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (60 / (2*15))2]=1

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Design thickness for internal pressure, (Corroded at 250 °F) Appendix 1-4(c)

t = P*D*K / (2*S*E - 0.2*P) + Corrosion= 151.79*60.25*0.994502 / (2*20,000*1 - 0.2*151.79) + 0.125= 0.3525"

The head internal pressure design thickness is 0.3526".

Maximum allowable pressure, (New at 70 °F) Appendix 1-4(c)

P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*20,000*1*0.375 / (1*60 +0.2*0.375) - 0= 249.69 psi

The maximum allowable pressure (MAP) is 249.69 psi.

Design thickness for external pressure, (Corroded at 250 °F) UG-33(d)


= 0.889*60.75= 54.0082 in

A = 0.125 / (Ro / t)= 0.125 / (54.0082 / 0.155989)= 0.000361


Pa = B / (Ro / t)= 5,193.455 / (54.0082 / 0.156)= 15 psi

t = 0.156" + Corrosion = 0.156" + 0.125" = 0.281"Check 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*15*60.25*0.994502 / (2*20,000*1 - 0.2*1.67*15) + 0.125= 0.1625"

The head external pressure design thickness (te) is 0.281".

Maximum Allowable External Pressure, (Corroded at 250 °F) UG-33(d)


= 0.889*60.75= 54.0082 in

A = 0.125 / (Ro / t)= 0.125 / (54.0082 / 0.25)= 0.000579


Pa = B / (Ro / t)= 8,339.839 / (54.0082 / 0.25)

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= 38.6045 psi

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*20,000*1*0.25 / ((0.994502*60.25 +0.2*0.25)*1.67) - 0= 99.85 psi

The maximum allowable external pressure (MAEP) is 38.6 psi.


EFE = (75*t / Rf)*(1 - Rf / Ro)= (75*0.5 / 10.45)*(1 - 10.45 / ∞)= 3.5885%


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Rings #1

Stiffener ring calculations per UG-29(a)

Ring type: Flat barRing description: 3/8x4 Flat BarRing material: SA-516 70 (II-D p. 18, ln. 22)External pressure: 15 psiRing is located: outside the vesselDistance from ring neutral axis to datum: 180 inRing corrosion allowance: 0 inDistance to previous support: 187.0417 inDistance to next support: 187.0417 in

L / Do = 187.0417 / 61 = 3.066257Do / t = 61 / 0.3130040 = 194.8857From Table G: A = 0.000153From Table CS-2: B = 2,195 psi

Pa = 4*B / (3*(Do / t))= 4*2,195 / (3*(61 / 0.3130040))= 15.016 psi

B = 0.75*P*Do / (t + As / Ls)= 0.75*15*61 / (0.313 + 1.5 / 187.0417)= 2,138 psi

From Table CS-2: A = 0.00014916 (ring, 300°F)

Is' = [Do2*Ls*(t + As / Ls)*A] / 10.9

= [612*187.0417*(0.313 + 1.5 / 187.0417)*0.00014916] / 10.9= 3.057364 in4

I' for the composite corroded shell-ring cross section is 6.100676 in4

As I' >= Is' a 3/8x4 Flat Bar stiffener is adequate for an external pressure of 15 psi.

Check the stiffener ring attachment welds per UG-30

Fillet weld is: Continuous both sidesFillet weld leg size: 0.25 inVessel thickness at weld location, new: 0.5 inVessel corrosion allowance at weld location: 0.125 inStiffener thickness at weld location: 0.375 in

Per UG-30(f)(1) the minimum attachment weld size is 0.25 in

The fillet weld size of 0.25 in is adequate per UG-30(f)(1).

Radial pressure load, P*Ls = 15*187.0417 = 2,805.62 lbf/inRadial shear load, V = 0.01*P*Ls*Do = 0.01*15*187.0417*61 = 1,711.43 lbf

26/44

First moment of area, Q = 1.97*0.9448 = 1.864 in3

Weld shear flow, q = V*Q / I' = 522.9177 lbf/inCombined weld load, fw = Sqr(2,805.62482 + 522.91772) = 2,853.94 lbf/in

Allowable weld stress per UW-18(d) Sw = 0.55*S = 0.55*20,000 = 11,000 psi

Fillet weld size required to resist radial pressure and shear

= fw*(dweld segment

+ dtoe

) / (Sw*dweld total

) + corrosion= 2,853.94*(1 + 0) / (11,000*2) + 0= 0.1297 in

The fillet weld size of 0.25 in is adequate to resist radial pressure and shear.

27/44

Nozzle #1 (N1)


tw(lower) = 0.5 inLeg41 = 0.375 in

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

Located on: Cylinder #1Liquid static head included: 0 psiNozzle material specification: SA-106 B Smls pipe (II-D p. 14, ln. 5)Nozzle longitudinal joint efficiency: 1Nozzle description: 4" Sch 120Flange description: 4 inch Class 150 WN A105Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 348, ln. 33)Flange rated MDMT: -55°F(UCS-66(b)(1)(b))Liquid static head on flange: 0 psiASME B16.5 flange rating MAWP: 245 psi @ 250°FASME B16.5 flange rating MAP: 285 psi @ 70°FASME B16.5 flange hydro test: 450 psi @ 70°FPWHT performed: NoCircumferential joint radiography: Spot UW-11(b) Type 2Nozzle orientation: 0°Local vessel minimum thickness: 0.5 inNozzle center line offset to datum line: 330 inEnd of nozzle to shell center: 45 inNozzle inside diameter, new: 3.624 inNozzle nominal wall thickness: 0.438 inNozzle corrosion allowance: 0.125 inProjection available outside vessel, Lpr: 11.5 inProjection available outside vessel to flange face, Lf: 14.5 in

28/44

Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (in2)For P = 150 psi @ 250 °F

The opening is adequately reinforced

UG-45 NozzleWall

ThicknessSummary (in)The nozzle passes

UG-45

Arequired

Aavailable A1 A2 A3 A5

Awelds treq tmin

0.8998 1.0762 0.5601 0.3959 -- -- 0.1202 0.3324 0.3833

UG-41 Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculationsper UW-15(b)(1)

UW-16 Weld Sizing Summary

Weld description Required weldthroat size (in)

Actual weldthroat size (in) Status

Nozzle to shell fillet (Leg41) 0.2191 0.2625 weld size is adequate

Calculations for internal pressure 150 psi @ 250 °F

Fig UCS-66.2 general note (1) applies.

Nozzle is impact test exempt to -155 °F per UCS-66(b)(3) (coincident ratio = 0.06614).

Nozzle UCS-66 governing thk: 0.3833 inNozzle rated MDMT: -155 °FParallel Limit of reinforcement per UG-40

LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(3.874, 1.937 + (0.438 - 0.125) + (0.5 - 0.125))= 3.874 in

Outer Normal Limit of reinforcement per UG-40

LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(0.5 - 0.125), 2.5*(0.438 - 0.125) + 0)= 0.7825 in

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

trn = P*Rn / (Sn*E - 0.6*P)= 150*1.937 / (17,100*1 - 0.6*150)= 0.0171 in

29/44

Required thickness tr from UG-37(a)

tr = P*R / (S*E - 0.6*P)= 150*30.125 / (20,000*1 - 0.6*150)= 0.227 in

Area required per UG-37(c)

Allowable stresses: Sn = 17,100, Sv = 20,000 psi

fr1 = lesser of 1 or Sn / Sv = 0.855


A = d*tr*F + 2*tn*tr*F*(1 - fr1)= 3.874*0.227*1 + 2*0.313*0.227*1*(1 - 0.855)= 0.8998 in2

Area available from FIG. UG-37.1

A1 = larger of the following= 0.5601 in2

= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= 3.874*(1*0.375 - 1*0.227) - 2*0.313*(1*0.375 - 1*0.227)*(1 - 0.855)= 0.5601 in2

= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= 2*(0.375 + 0.313)*(1*0.375 - 1*0.227) - 2*0.313*(1*0.375 - 1*0.227)*(1 - 0.855)= 0.1903 in2

A2 = smaller of the following= 0.3959 in2

= 5*(tn - trn)*fr2*t= 5*(0.313 - 0.0171)*0.855*0.375= 0.4744 in2

= 5*(tn - trn)*fr2*tn= 5*(0.313 - 0.0171)*0.855*0.313= 0.3959 in2

A41 = Leg2*fr2= 0.3752*0.855= 0.1202 in2

Area = A1 + A2 + A41

= 0.5601 + 0.3959 + 0.1202

30/44

= 1.0762 in2

As Area >= A the reinforcement is adequate.

UW-16(c) Weld Check

Fillet weld: tmin = lesser of 0.75 or tn or t = 0.313 intc(min) = lesser of 0.25 or 0.7*tmin = 0.2191 intc(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in

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

Wall thickness per UG-45(a): tr1 = 0.1421 in (E =1)Wall thickness per UG-45(b)(1): tr2 = 0.352 inWall thickness per UG-16(b): tr3 = 0.1875 inStandard wall pipe per UG-45(b)(4): tr4 = 0.3324 inThe greater of tr2 or tr3: tr5 = 0.352 inThe lesser of tr4 or tr5: tr6 = 0.3324 in

31/44

Required per UG-45 is the larger of tr1 or tr6 = 0.3324 in

Available nozzle wall thickness new, tn = 0.875*0.438 = 0.3833 in

The nozzle neck thickness is adequate.

Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (in2)For Pe = 15 psi @ 300 °F


UG-45 NozzleWall


UG-45

Arequired


Awelds treq tmin

0.6203 0.7425 0.235 0.3873 -- -- 0.1202 0.1875 0.3833


Weld strength calculations are not required for externalpressure


Weld description Required weldthroat size (in)

Actual weldthroat size (in) Status

Nozzle to shell fillet (Leg41) 0.2191 0.2625 weld size is adequate

Calculations for external pressure 15 psi @ 300 °F

Parallel Limit of reinforcement per UG-40



LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(0.5 - 0.125), 2.5*(0.438 - 0.125) + 0)= 0.7825 in

Nozzle required thickness per UG-28 trn = 0.0235 in

From UG-37(d)(1) required thickness tr = 0.3129 in

Area required per UG-37(d)(1)

Allowable stresses: Sn = 17,100, Sv = 20,000 psi

32/44



A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))= 0.5*(3.874*0.3129*1 + 2*0.313*0.3129*1*(1 - 0.855))= 0.6203 in2






= 5*(tn - trn)*fr2*t= 5*(0.313 - 0.0235)*0.855*0.375= 0.464 in2

= 5*(tn - trn)*fr2*tn= 5*(0.313 - 0.0235)*0.855*0.313= 0.3873 in2

A41 = Leg2*fr2= 0.3752*0.855= 0.1202 in2

Area = A1 + A2 + A41

= 0.235 + 0.3873 + 0.1202= 0.7425 in2


UW-16(c) Weld Check

Fillet weld: tmin = lesser of 0.75 or tn or t = 0.313 intc(min) = lesser of 0.25 or 0.7*tmin = 0.2191 intc(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in

The fillet weld size is satisfactory.

33/44

Weld strength calculations are not required for this detail which conforms to Fig. UW-16.1, sketch (c-e).


Wall thickness per UG-45(a): tr1 = 0.1485 inWall thickness per UG-45(b)(2): tr2 = 0.1476 inWall thickness per UG-16(b): tr3 = 0.1875 inStandard wall pipe per UG-45(b)(4): tr4 = 0.3324 inThe greater of tr2 or tr3: tr5 = 0.1875 inThe lesser of tr4 or tr5: tr6 = 0.1875 in





L /Do

= 14.5831/ 4.5 = 3.2407

Do/ t = 4.5 /

0.0235 = 191.1050


psi

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

= 4*2,149.91 / (3*(4.5 /0.0235))

= 15 psi



+ 0.125 = 0.1485"

34/44

Nozzle #2 (N2)


tw(lower) = 0.5 inLeg41 = 0.375 intw(upper) = 0.5 inLeg42 = 0.3125 inDp = 10.625 inte = 0.5 in

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

Located on: Cylinder #1Liquid static head included: 0 psiNozzle material specification: SA-106 B Smls pipe (II-D p. 14, ln. 5)Nozzle longitudinal joint efficiency: 1Nozzle description: 6" Sch 80 (XS)Pad material specification: SA-516 70 (II-D p. 18, ln. 22)Pad diameter: 10.625 inFlange description: 6 inch Class 150 WN A105Bolt Material: SA-193 B7 Bolt <= 2 1/2 (II-D p. 348, ln. 33)Flange rated MDMT: -55°F(UCS-66(b)(1)(b))Liquid static head on flange: 0 psiASME B16.5 flange rating MAWP: 245 psi @ 250°FASME B16.5 flange rating MAP: 285 psi @ 70°FASME B16.5 flange hydro test: 450 psi @ 70°FPWHT performed: NoCircumferential joint radiography: Spot UW-11(b) Type 2Nozzle orientation: 0°Local vessel minimum thickness: 0.5 inNozzle center line offset to datum line: 280 inEnd of nozzle to shell center: 45 inNozzle inside diameter, new: 5.761 inNozzle nominal wall thickness: 0.432 inNozzle corrosion allowance: 0.125 inProjection available outside vessel, Lpr: 11 inProjection available outside vessel to flange face, Lf: 14.5 inPad is split: No

35/44

Reinforcement Calculations for Internal Pressure

UG-37 Area Calculation Summary (in2)For P = 150 psi @ 250 °F


UG-45Nozzle WallThicknessSummary

(in)The nozzle

passes UG-45

Arequired


Awelds treq tmin

1.3845 3.5443 0.8767 0.4497 -- 2 0.2179 0.352 0.378

UG-41 Weld Failure Path Analysis Summary (lbf)All failure paths are stronger than the applicable weld loads

Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

11,709.59 53,352 87,581.93 15,335.28 167,463.11 57,289.27 108,868.46


Weld description Required weldsize (in)

Actual weldsize (in) Status

Nozzle to pad fillet (Leg41) 0.2149 0.2625 weld size is adequate

Pad to shell fillet (Leg42) 0.1875 0.2188 weld size is adequate

Nozzle to pad groove (Upper) 0.2149 0.5 weld size is adequate

Calculations for internal pressure 150 psi @ 250 °F

Fig UCS-66.2 general note (1) applies.

Nozzle is impact test exempt to -155 °F per UCS-66(b)(3) (coincident ratio = 0.10476).

Pad impact test exemption temperature from Fig UCS-66 Curve B = -7 °FFig UCS-66.1 MDMT reduction = 39.5 °F, (coincident ratio = 0.60523).

Nozzle UCS-66 governing thk: 0.378 inNozzle rated MDMT: -155 °FPad UCS-66 governing thickness: 0.5 inPad rated MDMT: -46.5 °FParallel Limit of reinforcement per UG-40


36/44


LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(0.5 - 0.125), 2.5*(0.432 - 0.125) + 0.5)= 0.9375 in

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

trn = P*Rn / (Sn*E - 0.6*P)= 150*3.0055 / (17,100*1 - 0.6*150)= 0.0265 in

Required thickness tr from UG-37(a)

tr = P*R / (S*E - 0.6*P)= 150*30.125 / (20,000*1 - 0.6*150)= 0.227 in

Area required per UG-37(c)

Allowable stresses: Sn = 17,100, Sv = 20,000, Sp = 20,000 psi



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)= 6.011*0.227*1 + 2*0.307*0.227*1*(1 - 0.855)= 1.3845 in2






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

37/44

= 5*(0.307 - 0.0265)*0.855*0.375= 0.4497 in2

= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(0.307 - 0.0265)*(2.5*0.307 + 0.5)*0.855= 0.608 in2

A41 = Leg2*fr3= 0.3752*0.855= 0.1202 in2

A42 = Leg2*fr4= 0.31252*1= 0.0977 in2

A5 = (Dp - d - 2*tn)*te*fr4= (10.625 - 6.011 - 2*0.307)*0.5*1= 2 in2

Area = A1 + A2 + A41 + A42 + A5

= 0.8767 + 0.4497 + 0.1202 + 0.0977 + 2= 3.5443 in2


UW-16(c)(2) Weld Check

Inner fillet: tmin = lesser of 0.75 or tn or te = 0.307 intc(min) = lesser of 0.25 or 0.7*tmin = 0.2149 intc(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in

Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 intw(min) = 0.5*tmin = 0.1875 intw(actual) = 0.7*Leg = 0.7*0.3125 = 0.2188 in


Wall thickness per UG-45(a): tr1 = 0.1515 in (E =1)Wall thickness per UG-45(b)(1): tr2 = 0.352 inWall thickness per UG-16(b): tr3 = 0.1875 inStandard wall pipe per UG-45(b)(4): tr4 = 0.37 inThe greater of tr2 or tr3: tr5 = 0.352 inThe lesser of tr4 or tr5: tr6 = 0.352 in


38/44



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

Groove weld in tension: 0.74*20,000 = 14,800 psiNozzle wall in shear: 0.7*17,100 = 11,970 psiInner fillet weld in shear: 0.49*17,100 = 8,379 psiOuter fillet weld in shear: 0.49*20,000 = 9,800 psiUpper groove weld in tension: 0.74*20,000 = 14,800 psiStrength of welded joints:

(1) Inner fillet weld in shear(π / 2)*Nozzle OD*Leg*Si = (π / 2)*6.625*0.375*8,379 = 32,698.6 lbf

(2) Outer fillet weld in shear(π / 2)*Pad OD*Leg*So = (π / 2)*10.625*0.3125*9,800 = 51,112.24 lbf

(3) Nozzle wall in shear(π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*6.318*0.307*11,970 = 36,469.69 lbf

(4) Groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*6.625*0.375*14,800 = 57,756.22 lbf

(6) Upper groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*6.625*0.5*14,800 = 77,008.29 lbf

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

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

= (1.3845 - 0.8767 + 2*0.307*0.855*(1*0.375 - 1*0.227))*20,000= 11,709.59 lbf

W1-1 = (A2 + A5 + A41 + A42)*Sv

= (0.4497 + 2 + 0.1202 + 0.0977)*20,000= 53,352 lbf

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv

= (0.4497 + 0 + 0.1202 + 0 + 2*0.307*0.375*0.855)*20,000= 15,335.28 lbf

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv

= (0.4497 + 0 + 2 + 0.1202 + 0.0977 + 0 + 2*0.307*0.375*0.855)*20,000= 57,289.27 lbf

39/44

Load for path 1-1 lesser of W or W1-1 = 11709.59 lbfPath 1-1 through (2) & (3) = 51,112.24 + 36,469.69 = 87,581.93 lbfPath 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 = 11709.59 lbfPath 2-2 through (1), (4), (6) = 32,698.6 + 57,756.22 + 77,008.29 = 167,463.11 lbfPath 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 = 11709.59 lbfPath 3-3 through (2), (4) = 51,112.24 + 57,756.22 = 108,868.46 lbfPath 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 (in2)For Pe = 15 psi @ 300 °F


UG-45 NozzleWall


UG-45

Arequired


Awelds treq tmin

0.9543 3.0305 0.3678 0.4448 -- 2 0.2179 0.1875 0.378


Weld strength calculations are not required for externalpressure


Weld description Required weldsize (in)

Actual weldsize (in) Status

Nozzle to pad fillet (Leg41) 0.2149 0.2625 weld size is adequate

Pad to shell fillet (Leg42) 0.1875 0.2188 weld size is adequate

Nozzle to pad groove (Upper) 0.2149 0.5 weld size is adequate

Calculations for external pressure 15 psi @ 300 °F

Parallel Limit of reinforcement per UG-40



LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(0.5 - 0.125), 2.5*(0.432 - 0.125) + 0.5)= 0.9375 in

40/44

Nozzle required thickness per UG-28 trn = 0.0295 in

From UG-37(d)(1) required thickness tr = 0.3129 in

Area required per UG-37(d)(1)

Allowable stresses: Sn = 17,100, Sv = 20,000, Sp = 20,000 psi



fr3 = lesser of fr2 or Sp / Sv = 0.855

fr4 = lesser of 1 or Sp / Sv = 1

A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))= 0.5*(6.011*0.3129*1 + 2*0.307*0.3129*1*(1 - 0.855))= 0.9543 in2






= 5*(tn - trn)*fr2*t= 5*(0.307 - 0.0295)*0.855*0.375= 0.4448 in2

= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(0.307 - 0.0295)*(2.5*0.307 + 0.5)*0.855= 0.6014 in2

A41 = Leg2*fr3= 0.3752*0.855= 0.1202 in2

41/44

A42 = Leg2*fr4= 0.31252*1= 0.0977 in2

A5 = (Dp - d - 2*tn)*te*fr4= (10.625 - 6.011 - 2*0.307)*0.5*1= 2 in2

Area = A1 + A2 + A41 + A42 + A5

= 0.3678 + 0.4448 + 0.1202 + 0.0977 + 2= 3.0305 in2


UW-16(c)(2) Weld Check

Inner fillet: tmin = lesser of 0.75 or tn or te = 0.307 intc(min) = lesser of 0.25 or 0.7*tmin = 0.2149 intc(actual) = 0.7*Leg = 0.7*0.375 = 0.2625 in

Outer fillet: tmin = lesser of 0.75 or te or t = 0.375 intw(min) = 0.5*tmin = 0.1875 intw(actual) = 0.7*Leg = 0.7*0.3125 = 0.2188 in


Wall thickness per UG-45(a): tr1 = 0.1545 inWall thickness per UG-45(b)(2): tr2 = 0.1476 inWall thickness per UG-16(b): tr3 = 0.1875 inStandard wall pipe per UG-45(b)(4): tr4 = 0.37 inThe greater of tr2 or tr3: tr5 = 0.1875 inThe lesser of tr4 or tr5: tr6 = 0.1875 in





L /Do

= 14.6804 /6.625 = 2.2159

Do /t = 6.625 /

0.0295 = 224.3186


psi

42/44

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

= 4*2,523.58 / (3*(6.625 /0.0295))

= 15 psi



+ 0.125 = 0.1545"

43/44

Liquid Level bounded by Ellipsoidal Head #1

Location from Center Line 14.875"

Operating Liquid Specific Gravity 1.1Test liquid specific gravity 1

44/44

Calculo Recipiente

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