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Concast Index Cover Page Deficiencies Summary Nozzle Schedule Nozzle Summary Pressure Summary Revision History Settings Summary Thickness Summary Weight Summary Hydrostatic Test Vacuum Summary Cylinder #1 Top Head Straight Flange on Top Head Straight Flange on Bottom Head Bottom Head Nozzle #1 (N1) Nozzle #2 (N2) Nozzle #3 (N3) Nozzle #4 (N4) Legs file:///C|/Codeware/COMPRESS/Temp/CWIndex2CC6AC6D.html [9/6/2005 2:17:25 PM]

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Page 1: Cover Page Deficiencies Summary · 2019-06-17 · Concast Index Cover Page Deficiencies Summary Nozzle Schedule Nozzle Summary Pressure Summary Revision History Settings Summary Thickness

Concast

Index

Cover Page

Deficiencies SummaryNozzle ScheduleNozzle SummaryPressure SummaryRevision HistorySettings SummaryThickness SummaryWeight SummaryHydrostatic TestVacuum Summary

Cylinder #1

Top HeadStraight Flange on Top HeadStraight Flange on Bottom HeadBottom Head

Nozzle #1 (N1)Nozzle #2 (N2)Nozzle #3 (N3)Nozzle #4 (N4)

Legs

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Cover Page

Cover Page

Custom Engineering2800 McClelland Ave

Erie, PA 16510

COMPRESS Pressure Vessel Design Calculations

Item: Pressure Vessel Vessel No: Customer: Customer #2

Contract: WO# 7220

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Cover Page

Designer: George Clark

Date: 1/14/04

Location: New Castle

Purchaser: Concast America, Inc. Vessel Name: Comp2

You can edit this page by selecting Cover Page settings... in the report menu.

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Deficiencies Summary

Deficiencies Summary

Warnings Summary

Warnings for Nozzle #2 (N2)A full penetration groove weld would qualify this nozzle as integral reinforcment likely reducing the reinforcement required. (warning)

Warnings for Nozzle #3 (N3)A full penetration groove weld would qualify this nozzle as integral reinforcment likely reducing the reinforcement required. (warning)

ASME B16.5 / B16.47 Flange Warnings Summary

ASME B16.5 / 16.47 Flanges with Warnings

Flange Applicable Warnings

Nozzle #1 (N1) 1

Nozzle #2 (N2) 1

Nozzle #3 (N3) 1

Nozzle #4 (N4) 1

ASME B16.5 / 16.47 Flange Warnings

No. Warning

1 For Class 150 flanges, ASME B16.5 para. 5.4.2 recommends gaskets to be in accordance with Fig. E1, Group No. I.

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Nozzle Schedule

Nozzle Schedule

Nozzlemark Service Size

Materials

Nozzle Impact Norm Fine Grain Pad Impact Norm

Fine Grain Flange

N1 Nozzle #1

1.500" Sch 40 (Std)

SA-106 B Smls pipe

No No No N/A N/A N/A N/AWN A105 150#

N2 Nozzle #2

1.500" Sch 40 (Std)

SA-106 B Smls pipe

No No No N/A N/A N/A N/AWN A105 150#

N3 Nozzle #3

1.500" Sch 40 (Std)

SA-106 B Smls pipe

No No No N/A N/A N/A N/AWN A105 150#

N4 Nozzle #4

6" Sch 40 (Std)

SA-106 B Smls pipe

No No No N/A N/A N/A N/AWN A105 150#

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Nozzle Summary

Nozzle Summary

Nozzlemark

OD(in)

tn

(in) Req tn

(in) A1? A2?

Shell ReinforcementPad Corr

(in) Aa/Ar(%)Nom t

(in) Design t(in)

User t(in)

Width(in)

tpad(in)

N1 1.90 0.1450 0.1450 Yes Yes 0.1875 N/A N/A N/A 0.0000 Exempt

N2 1.90 0.1450 0.1450 Yes Yes 0.1875 N/A N/A N/A 0.0000 Exempt

N3 1.90 0.1450 0.1450 Yes Yes 0.1875 N/A N/A N/A 0.0000 Exempt

N4 6.63 0.2800 0.1279 Yes Yes 0.1875 0.1500 N/A N/A 0.0000 100.0

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

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Pressure Summary

Pressure Summary

Pressure Summary for Chamber bounded by Bottom Head and Top Head

Identifier P

Design( psi)

TDesign

(°F)

MAWP( psi)

MAP( psi)

MAEP( psi)

Teexternal

(°F)

MDMT Rating Total CorrosionAllowance

(in)

ImpactTestMDMT

(°F) Exemption

Top Head 100.0 150.0 178.28 178.28 61.33 150.0 -55.0 Note 1 0.000 No

Straight Flange on Top Head

100.0 150.0 177.35 177.35 33.07 150.0 -55.0 Note 2 0.000 No

Cylinder #1 100.0 150.0 146.44 146.44 33.33 150.0 -55.0 Note 3 0.000 No

Straight Flange on Bottom Head

100.0 150.0 177.35 177.35 33.07 150.0 -55.0 Note 2 0.000 No

Bottom Head

100.0 150.0 178.28 178.28 61.33 150.0 -55.0 Note 4 0.000 No

Legs 100.0 150.0 100.00 N/A N/A N/A N/A N/A N/A N/A

Nozzle #1 (N1)

100.0 150.0 209.14 209.14 33.33 150.0 -55.0 Note 5 0.000 No

Nozzle #2 (N2)

100.0 150.0 209.14 209.14 33.33 150.0 -55.0 Note 5 0.000 No

Nozzle #3 (N3)

100.0 150.0 209.14 209.14 33.33 150.0 -55.0 Note 5 0.000 No

Nozzle #4 (N4)

100.0 150.0 124.70 124.70 18.93 150.0 -55.0 Note 6 0.000 No

Chamber design MDMT is -20.00°FChamber rated MDMT is -55.00°F @ 100.00 psi

Chamber MAWP hot & corroded is 100.00 psi @ 150.0°F

Chamber MAP cold & new is 124.70 psi @ 70.0°F

Chamber MAEP is 18.93 psi @ 150.0°F

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Pressure Summary

Vacuum rings did not govern the external pressure rating.

Notes for MDMT Rating:

Note # Exemption Details

1. Straight Flange governs MDMT

2.

Material impact test exemption temperature from Fig UCS-66 Curve B = -20 °FFig UCS-66.1 MDMT reduction = 65.5 °F, (coincident ratio = 0.4801537)Rated MDMT is governed by UCS-66(b)(2)

UCS-66 governing thickness = 0.187 in

3.

Material impact test exemption temperature from Fig UCS-66 Curve B = -20 °FFig UCS-66.1 MDMT reduction = 48.7 °F, (coincident ratio = 0.5470086)Rated MDMT is governed by UCS-66(b)(2)

UCS-66 governing thickness = 0.1875 in

4. Straight Flange governs MDMT

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

6.

Nozzle impact test exemption temperature from Fig UCS-66 Curve B = -20 °FFig UCS-66.1 MDMT reduction = 65.7 °F, (coincident ratio = 0.47904)Rated MDMT is governed by UCS-66(b)(2)

UCS-66 governing thickness = 0.1875 in.

Design notes are available on the Settings Summary page.

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Revision History

Revision History

No. Date Operator Notes

0 3/12/2004 george New vessel created with Vessel Wizard, ASME Division 1 [Build 6229]

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Settings Summary

Settings Summary

COMPRESS Build 6242

Units: English

Datum Line Location: 0.00" from bottom seam

Design

ASME Section VIII Division 1, 2001 Edition, A03 Addenda

Design or Rating: Get Thickness from Pressure

Minimum thickness: 1/16" 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: 1.3

Minimum nozzle projection: 4.0000"

Juncture calculations for α > 30 only: Yes

Preheat P-No 1 Materials > 1.25" and <= 1.50" thick: No

Butt welds are tapered per Figure UCS-66.3(a).

Hydro/Pneumatic Test

Shop Hydrotest Pressure: 1.3 times vessel MAWP

Test liquid specific gravity: 1.00

Maximum stress during test: 90% of yield

Code Interpretations

Apply interpretation VIII-1-83-66: Yes

Apply interpretation VIII-1-86-175: Yes

Apply interpretation VIII-1-83-115: Yes

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Settings Summary

Apply interpretation VIII-1-01-37: Yes

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: No

UG-22 (f) Seismic reactions: No

Note: UG-22 (b),(c) and (f) loads only considered when supports are present.

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Thickness Summary

Thickness Summary

ComponentIdentifier Material

Diameter(in)

Length(in)

Nominal t(in)

Design t(in)

JointE Load

Top Head SA-516 70 36.00 OD 9.09 0.1870* 0.1054 0.8500 Internal

Straight Flange on Top Head SA-516 70 36.00 OD 2.00 0.1870 0.1368 0.8500 External

Cylinder #1 SA-516 70 36.00 OD 44.00 0.1875 0.1368 0.7000 External

Straight Flange on Bottom Head SA-516 70 36.00 OD 2.00 0.1870 0.1368 0.8500 External

Bottom Head SA-516 70 36.00 OD 9.09 0.1870* 0.1054 0.8500 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

Weight Summary

Component

Weight ( lb) Contributed by Vessel Elements

MetalNew*

MetalCorroded*

Insulation &Supports

Lining Piping

+ Liquid Operating

Liquid Test

Liquid

Top Head 90.30 90.30 0.00 0.00 0.00 0.00 285.62

Cylinder #1 260.40 260.40 0.00 0.00 0.00 0.00 1,586.39

Bottom Head 90.30 90.30 0.00 0.00 0.00 0.00 285.62

Legs 37.36 37.36 0.00 0.00 0.00 0.00 0.00

TOTAL: 478.36 478.36 0.00 0.00 0.00 0.00 2,157.63

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

Component

Weight ( lb) Contributed by Attachments

Body Flanges Nozzles &

Flanges PackedBeds

Ladders &Platforms

Trays &Supports

Rings &

Clips

VerticalLoads

New Corroded New Corroded

Top Head 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Cylinder #1 0.00 0.00 43.00 43.00 0.00 0.00 0.00 0.00 0.00

Bottom Head 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Legs 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

TOTAL: 0.00 0.00 43.00 43.00 0.00 0.00 0.00 0.00 0.00

Vessel operating weight, Corroded: 521 lbVessel operating weight, New: 521 lbVessel empty weight, Corroded: 521 lbVessel empty weight, New: 521 lbVessel test weight, New: 2,679 lb

Vessel center of gravity location (from datum)

Vessel Lift Weight, New: 521 lbCenter of Gravity: 20.19"

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Weight Summary

Vessel Capacity

Vessel Capacity** (New): 258 US galVessel Capacity** (Corroded): 258 US gal**The vessel capacity does not include volume of nozzle, piping or other attachments.

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Hydrostatic Test

Hydrostatic Test

Shop test pressure determination for Chamber bounded by Bottom Head and Top Head based on MAWP per UG-99(b)

Shop hydrostatic test gauge pressure is 130.000 psi at 70.00 °F (the chamber MAWP = 100.000 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?

Top Head (1) 131.509 1.509 1.0000 1.30 11,274 34,200 No

Straight Flange on Top Head

131.509 1.509 1.0000 1.30 12,593 34,200 No

Cylinder #1 131.509 1.509 1.0000 1.30 12,559 34,200 No

Straight Flange on Bottom Head

131.509 1.509 1.0000 1.30 12,593 34,200 No

Bottom Head 131.509 1.509 1.0000 1.30 11,274 34,200 No

Nozzle #1 (N1) 130.217 0.217 1.0000 1.30 17,887 47,250 No

Nozzle #2 (N2) 130.284 0.284 1.0000 1.30 17,896 47,250 No

Nozzle #3 (N3) 130.284 0.284 1.0000 1.30 17,896 47,250 No

Nozzle #4 (N4) 130.217 0.217 1.0000 1.30 27,307 47,250 No

Notes:(1) Top Head 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) VIII-2, AD-151.1(b) used as the basis for nozzle allowable test stress.(4) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-most flange.

The field test condition has not been investigated for the Chamber bounded by Bottom Head and Top Head.

The test temperature of 70.00 °F is warmer than the minimum recommended temperature of -25.00 °F so the brittle fracture provision of UG-99(h) has been met.

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Hydrostatic Test

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Vacuum Summary

Vacuum Summary

Component Line of Support Elevationabove Datum(in)

Length Le(in)

Top Head - 55.09 N/A

- 1/3 depth of Top Head 48.97 N/A

Straight Flange on Top Head Top - 46.00 53.94

Straight Flange on Top Head Bottom - 44.00 53.94

Cylinder #1 Top - 44.00 53.94

Cylinder #1 Bottom - 0.00 53.94

Straight Flange on Bottom Head Top - 0.00 53.94

Straight Flange on Bottom Head Bottom - -2.00 53.94

- 1/3 depth of Bottom Head -4.97 N/A

Bottom Head - -11.09 N/A

Note

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

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Cylinder #1

Cylinder #1

ASME Section VIII Division 1, 2001 Edition, A03 Addenda

Component: CylinderMaterial specification: SA-516 70 (ASME II-D p. 14, ln. 31)Material impact test exemption temperature from Fig UCS-66 Curve B = -20 °FFig UCS-66.1 MDMT reduction = 48.7 °F, (coincident ratio = 0.5470086)Rated MDMT is governed by UCS-66(b)(2)UCS-66 governing thickness = 0.1875 in

Internal design pressure: P = 100 psi @ 150°FExternal design pressure: Pe = 15 psi @ 150°F

Static liquid head:

Pth=1.5093 psi(SG=1.0000, Hs=41.8125", Horizontal test head)

Corrosion allowance: Inner C = 0.0000" Outer C = 0.0000"

Design MDMT = -20.00°F No impact test performedRated MDMT = -55.00°F Material is not normalized

Material is not produced to Fine Grain PracticePWHT is not performed

Radiography: Longitudinal joint - None UW-11(c) Type 1Top circumferential joint - None UW-11(c) Type 1Bottom circumferential joint - None UW-11(c) Type 1

Estimated weight: New = 262.6787 lb corr = 262.6787 lbCapacity: New = 189.8630 gal corr = 189.8630 gal

OD = 36.0000"Length Lc = 44.0000"

t = 0.1875"

Design thickness, (at 150.00°F) Appendix 1-1

t = P*Ro/(S*E + 0.40*P) + Corrosion

= 100.0000*18.0000/(20000.0000*0.70 + 0.40*100.0000) + 0.0000

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Cylinder #1

= 0.1283"

Maximum allowable working pressure, (at 150.00°F) Appendix 1-1

P = S*E*t/(Ro - 0.40*t) - Ps

= 20000.0000*0.70*0.1875 / (18.0000 - 0.40*0.1875) - 0.0000= 146.4435 psi

Maximum allowable pressure, (at 70.00°F) Appendix 1-1

P = S*E*t/(Ro - 0.40*t)

= 20000.0000*0.70*0.1875 / (18.0000 - 0.40*0.1875)= 146.4435 psi

External Pressure, (Corroded & at 150.00°F) UG-28(c)

L/Do = 53.9377/36.0000 = 1.4983

Do/t = 36.0000/0.136839 = 263.0834

From table G: A = 0.000206

From table CS-2: B = 2959.6812

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

= 4*2959.6812/(3*(36.0000/0.136839))

= 15.0000 psi

Design thickness for external pressure Pa = 15.0000 psi

= t + Corrosion = 0.136839 + 0.0000 = 0.1368"

Maximum Allowable External Pressure, (Corroded & at 150.00°F) UG-28(c)

L/Do = 53.9377/36.0000 = 1.4983

Do/t = 36.0000/0.1875 = 192.0000

From table G: A = 0.000334

From table CS-2: B = 4799.8105

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

= 4*4799.8105/(3*(36.0000/0.1875))

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Cylinder #1

= 33.3320 psi

% Extreme fiber elongation - UCS-79(d)

= (50 * t / Rf) * (1 - Rf / Ro)

= (50 * 0.1875 / 17.9063) * (1 - 17.9063 / ∞)= 0.5236 %

External Pressure + Weight Check (Bergman, ASME paper 54-A-104)

Pv = W / (2*π*Rm) + M / (π*Rm2)

= 390.01 / (2*π*17.9063) + 1003.47 / (π*17.90632)

= 4.4627 lb/in

α = Pv / (Pe*Do)

= 4.462692 / (15.0000*36.0000)

= 0.0083

n = 5

m = 1.23 / (L/Do)2

= 1.23 / (53.937668/36.0000)2

= 0.5479

Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)

= (52 - 1 + 0.547931 + 0.547931*0.008264) / (52 - 1 + 0.547931)

= 1.0002

Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.

External Pressure + Weight Check at Bottom Seam (Bergman, ASME paper 54-A-104)

Pv = W / (2*π*Rm) + M / (π*Rm2)

= 390.01 / (2*π*17.9063) + 0.00 / (π*17.90632)

= 3.4665 lb/in

α = Pv / (Pe*Do)

= 3.466493 / (15.0000*36.0000)

= 0.0064

n = 5

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Cylinder #1

m = 1.23 / (L/Do)2

= 1.23 / (53.937668/36.0000)2

= 0.5479

Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)

= (52 - 1 + 0.547931 + 0.547931*0.006419) / (52 - 1 + 0.547931)

= 1.0001

Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.

Design thickness = 0.1368"

The governing condition is due to external pressure.

The cylinder thickness of 0.1875" is adequate.

Thickness Required Due to Pressure + External Loads

ConditionPressure P ( psi)

Allowable Stress Before UG-23 Stress Increase

( psi)Temperature

(°F)Corrosion

C (in)Location Load

Req'd Thk

Due to Tension

(in)

Req'd Thk Due to

Compression (in)

St Sc

Operating, Hot & Corroded

100.00 20000.00 13265.59 150.00 0.0000top Weight 0.0444 0.0443

Bottom Weight 0.0443 0.0443

Operating, Hot & New

100.00 20000.00 13265.59 150.00 0.0000top Weight 0.0444 0.0443

Bottom Weight 0.0443 0.0443

Hot Shut Down, Corroded

0.00 20000.00 13265.59 150.00 0.0000top Weight 0.0002 0.0003

Bottom Weight 0.0003 0.0003

Hot Shut Down, New

0.00 20000.00 13265.59 150.00 0.0000top Weight 0.0002 0.0003

Bottom Weight 0.0003 0.0003

Empty, Corroded

0.00 20000.00 13265.59 0.00 0.0000top Weight 0.0002 0.0003

Bottom Weight 0.0003 0.0003

Empty, top Weight 0.0002 0.0003

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Cylinder #1

New 0.00 20000.00 13265.59 0.00 0.0000 Bottom Weight 0.0003 0.0003

Vacuum -15.00 20000.00 13265.59 150.00 0.0000top Weight 0.0103 0.0104

Bottom Weight 0.0103 0.0103

Hot Shut Down, Corroded, Weight & Eccentric Moments Only

0.00 20000.00 13265.59 150.00 0.0000

top Weight 0.0000 0.0001

Bottom Weight 0.0000 0.0000

Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2)

A = 0.125 / (Ro / t)

= 0.125 / (18.0000 / 0.1875)

= 0.001302

B = 13265.5928 psi

S = 20000.0000 / 1.0000

= 20000.0000 psi

ScHC = 13265.5928 psi

Allowable Compressive Stress, Hot and New- ScHN

ScHN = ScHC

= 13265.5928 psi

Allowable Compressive Stress, Cold and New- ScCN, (table CS-2)

A = 0.125 / (Ro / t)

= 0.125 / (18.0000 / 0.1875)

= 0.001302

B = 13265.5928 psi

S = 20000.0000 / 1.0000

= 20000.0000 psi

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Cylinder #1

ScCN = 13265.5928 psi

Allowable Compressive Stress, Cold and Corroded- ScCC

ScCC = ScCN

= 13265.5928 psi

Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2)

A = 0.125 / (Ro / t)

= 0.125 / (18.0000 / 0.1875)

= 0.001302

B = 13265.5928 psi

S = 20000.0000 / 1.0000

= 20000.0000 psi

ScVC = 13265.5928 psi

Operating, Hot & Corroded, Above Support Point

tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)

= 100.0000*17.8125/(2*20000.0000*1.0000*1.00 + 0.40*|100.0000|)

= 0.0445"

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 1003.47/(π*17.90632*20000.0000*1.0000*1.00)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= 390.01/(2*π*17.9063*20000.0000*1.0000*1.00)

= 0.0002"

tt = tp + tm - tw (total required, tensile)

= 0.044487 + 0.000050 - (0.000173)

= 0.0444"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000050 + (0.000173) - (0.044487)|

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Cylinder #1

= 0.0443"

Maximum allowable working pressure, Longitudinal Stress

P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))

=2*20000.0000*1.0000*1.00*(0.1875-0.000050+(0.000173)) / (17.8125 - 0.40*(0.1875-0.000050+(0.000173)))

= 423.1127 psi

Operating, Hot & New, Above Support Point

tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)

= 100.0000*17.8125/(2*20000.0000*1.0000*1.00 + 0.40*|100.0000|)

= 0.0445"

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 1003.47/(π*17.90632*20000.0000*1.0000*1.00)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= 390.01/(2*π*17.9063*20000.0000*1.0000*1.00)

= 0.0002"

tt = tp + tm - tw (total required, tensile)

= 0.044487 + 0.000050 - (0.000173)

= 0.0444"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000050 + (0.000173) - (0.044487)|

= 0.0443"

Maximum allowable working pressure, Longitudinal Stress

P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))

=2*20000.0000*1.0000*1.00*(0.1875-0.000050+(0.000173)) / (17.8125 - 0.40*(0.1875-0.000050+(0.000173)))

= 423.1127 psi

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Cylinder #1

Hot Shut Down, Corroded, Above Support Point

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 1003.47/(π*17.90632*13265.5928*1.0000)

= 0.0001"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 390.01/(2*π*17.9063*13265.5928*1.0000)

= 0.0003"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000075 - (0.000261)|

= 0.0002"

tc = tmc + twc - tpc (total required, compressive)

= 0.000075 + (0.000261) - (0.000000)

= 0.0003"

Hot Shut Down, New, Above Support Point

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 1003.47/(π*17.90632*13265.5928*1.0000)

= 0.0001"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 390.01/(2*π*17.9063*13265.5928*1.0000)

= 0.0003"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000075 - (0.000261)|

= 0.0002"

tc = tmc + twc - tpc (total required, compressive)

= 0.000075 + (0.000261) - (0.000000)

= 0.0003"

Empty, Corroded, Above Support Point

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Cylinder #1

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 1003.47/(π*17.90632*13265.5928*1.0000)

= 0.0001"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 390.01/(2*π*17.9063*13265.5928*1.0000)

= 0.0003"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000075 - (0.000261)|

= 0.0002"

tc = tmc + twc - tpc (total required, compressive)

= 0.000075 + (0.000261) - (0.000000)

= 0.0003"

Empty, New, Above Support Point

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 1003.47/(π*17.90632*13265.5928*1.0000)

= 0.0001"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 390.01/(2*π*17.9063*13265.5928*1.0000)

= 0.0003"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000075 - (0.000261)|

= 0.0002"

tc = tmc + twc - tpc (total required, compressive)

= 0.000075 + (0.000261) - (0.000000)

= 0.0003"

Vacuum, Above Support Point

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Cylinder #1

tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)

= -15.0000*17.8125/(2*13265.5928*1.0000 + 0.40*|15.0000|)

= -0.0101"

tm = M/(π*Rm2*Sc*Ks) (bending)

= 1003.47/(π*17.90632*13265.5928*1.0000)

= 0.0001"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 390.01/(2*π*17.9063*13265.5928*1.0000)

= 0.0003"

tt = |tp + tm - tw| (total, net compressive)

= |-0.010068 + 0.000075 - (0.000261)|

= 0.0103"

tc = tmc + twc - tpc (total required, compressive)

= 0.000075 + (0.000261) - (-0.010068)

= 0.0104"

Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Above Support Point

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 1003.47/(π*17.90632*20000.0000*1.0000*1.00)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= 0.00/(2*π*17.9063*20000.0000*1.0000*1.00)

= 0.0000"

tt = tp + tm - tw (total required, tensile)

= 0.000000 + 0.000050 - (0.000000)

= 0.0000"

tmc = M/(π*Rm2*Sc*Ks) (bending)

= 1003.47/(π*17.90632*13265.5928*1.0000)

= 0.0001"

tc = tmc + twc - tpc (total required, compressive)

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Cylinder #1

= 0.000075 + (0.000000) - (0.000000)

= 0.0001"

Operating, Hot & Corroded, Below Support Point

tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)

= 100.0000*17.8125/(2*20000.0000*1.0000*1.00 + 0.40*|100.0000|)

= 0.0445"

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 0.00/(π*17.90632*20000.0000*1.0000*1.00)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= 390.01/(2*π*17.9063*20000.0000*1.0000*1.00)

= 0.0002"

tt = tp + tm - tw (total required, tensile)

= 0.044487 + 0.000000 - (0.000173)

= 0.0443"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000000 + (0.000173) - (0.044487)|

= 0.0443"

Maximum allowable working pressure, Longitudinal Stress

P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))

=2*20000.0000*1.0000*1.00*(0.1875-0.000000+(0.000173)) / (17.8125 - 0.40*(0.1875-0.000000+(0.000173)))

= 423.2255 psi

Operating, Hot & New, Below Support Point

tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)

= 100.0000*17.8125/(2*20000.0000*1.0000*1.00 + 0.40*|100.0000|)

= 0.0445"

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Cylinder #1

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 0.00/(π*17.90632*20000.0000*1.0000*1.00)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= 390.01/(2*π*17.9063*20000.0000*1.0000*1.00)

= 0.0002"

tt = tp + tm - tw (total required, tensile)

= 0.044487 + 0.000000 - (0.000173)

= 0.0443"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000000 + (0.000173) - (0.044487)|

= 0.0443"

Maximum allowable working pressure, Longitudinal Stress

P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))

=2*20000.0000*1.0000*1.00*(0.1875-0.000000+(0.000173)) / (17.8125 - 0.40*(0.1875-0.000000+(0.000173)))

= 423.2255 psi

Hot Shut Down, Corroded, Below Support Point

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 0.00/(π*17.90632*13265.5928*1.0000)

= 0.0000"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 390.01/(2*π*17.9063*13265.5928*1.0000)

= 0.0003"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000000 - (0.000261)|

= 0.0003"

tc = tmc + twc - tpc (total required, compressive)

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Cylinder #1

= 0.000000 + (0.000261) - (0.000000)

= 0.0003"

Hot Shut Down, New, Below Support Point

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 0.00/(π*17.90632*13265.5928*1.0000)

= 0.0000"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 390.01/(2*π*17.9063*13265.5928*1.0000)

= 0.0003"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000000 - (0.000261)|

= 0.0003"

tc = tmc + twc - tpc (total required, compressive)

= 0.000000 + (0.000261) - (0.000000)

= 0.0003"

Empty, Corroded, Below Support Point

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 0.00/(π*17.90632*13265.5928*1.0000)

= 0.0000"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 390.01/(2*π*17.9063*13265.5928*1.0000)

= 0.0003"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000000 - (0.000261)|

= 0.0003"

tc = tmc + twc - tpc (total required, compressive)

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Cylinder #1

= 0.000000 + (0.000261) - (0.000000)

= 0.0003"

Empty, New, Below Support Point

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 0.00/(π*17.90632*13265.5928*1.0000)

= 0.0000"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 390.01/(2*π*17.9063*13265.5928*1.0000)

= 0.0003"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000000 - (0.000261)|

= 0.0003"

tc = tmc + twc - tpc (total required, compressive)

= 0.000000 + (0.000261) - (0.000000)

= 0.0003"

Vacuum, Below Support Point

tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)

= -15.0000*17.8125/(2*13265.5928*1.0000 + 0.40*|15.0000|)

= -0.0101"

tm = M/(π*Rm2*Sc*Ks) (bending)

= 0.00/(π*17.90632*13265.5928*1.0000)

= 0.0000"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 390.01/(2*π*17.9063*13265.5928*1.0000)

= 0.0003"

tt = |tp + tm - tw| (total, net compressive)

= |-0.010068 + 0.000000 - (0.000261)|

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Cylinder #1

= 0.0103"

tc = tmc + twc - tpc (total required, compressive)

= 0.000000 + (0.000261) - (-0.010068)

= 0.0103"

Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Below Support Point

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 0.00/(π*17.90632*20000.0000*1.0000*1.00)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= 0.00/(2*π*17.9063*20000.0000*1.0000*1.00)

= 0.0000"

tt = tp + tm - tw (total required, tensile)

= 0.000000 + 0.000000 - (0.000000)

= 0.0000"

tc = tmc + twc - tpc (total required, compressive)

= 0.000000 + (0.000000) - (0.000000)

= 0.0000"

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Top Head

Top Head

ASME Section VIII, Division 1, 2001 Edition, A03 Addenda

Component: Ellipsoidal Head Material Specification: SA-516 70 (ASME II-D p.14, ln. 31)Straight Flange governs MDMT

Internal design pressure: P = 100 psi @ 150 °FExternal design pressure: Pe = 15 psi @ 150 °F

Static liquid head:

Ps= 0 psi (SG=1, Hs=0" Operating head)

Pth= 1.5093 psi (SG=1, Hs=41.813" Horizontal test head)

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

Design MDMT = -20°F No impact test performed Rated MDMT = -55°F Material is not normalized

Material is not produced to fine grain practice PWHT is not performed Do not Optimize MDMT / Find MAWP

Radiography: Category A joints - Seamless No RT Head to shell seam - None UW-11(c) Type 1

Estimated weight*: new = 90.3 lb corr = 90.3 lb Capacity*: new = 34.3 US gal corr = 34.3 US gal* includes straight flange

Outer diameter = 36"Minimum head thickness = 0.187"Head ratio D/2h = 2 (new)Head ratio D/2h = 2 (corroded)Straight flange length Lsf = 2"Nominal straight flange thickness tsf = 0.187"

Insulation thk*: 0" density: 0 lb/ft3 weight: 0 lb

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Top Head

Insulation support ring spacing:

0" individual weight: 0 lb total weight: 0 lb

Lining/ref thk*: 0" density: 0 lb/ft3 weight: 0 lb

* includes straight flange if applicable

Results Summary

The governing condition is internal pressure.Minimum thickness per UG-16 = 0.0625" + 0" = 0.0625"Design thickness due to internal pressure (t) = 0.1054"Design thickness due to external pressure (te) = 0.0927"

Maximum allowable working pressure (MAWP) = 178.278 psi

Maximum allowable pressure (MAP) = 178.278 psi

Maximum allowable external pressure (MAEP) = 61.3292 psi

K (Corroded)

K = (1/6)*[2 + (D / (2*h))2]= (1/6)*[2 + (35.626 / (2*8.9065))2]= 1

K (New)

K = (1/6)*[2 + (D / (2*h))2]= (1/6)*[2 + (35.626 / (2*8.9065))2]= 1

Design thickness for internal pressure, (Corroded at 150 °F) Appendix 1-4(c)

t = P*Do*K / (2*S*E + 2*P*(K - 0.1)) + Corrosion

= 100*36*1 / (2*20000*0.85 + 2*100*(1 - 0.1)) + 0= 0.1053"

The head internal pressure design thickness is 0.1054".

Maximum allowable working pressure, (Corroded at 150 °F) Appendix 1-4(c)

P = 2*S*E*t / (K*Do - 2*t*(K - 0.1)) - Ps

= 2*20000*0.85*0.187 / (1*36 - 2*0.187*(1 - 0.1)) - 0

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Top Head

= 178.278 psi

The maximum allowable working pressure (MAWP) is 178.278 psi.

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

P = 2*S*E*t / (K*Do - 2*t*(K - 0.1)) - Ps

= 2*20000*0.85*0.187 / (1*36 - 2*0.187*(1 - 0.1)) - 0= 178.278 psi

The maximum allowable pressure (MAP) is 178.278 psi.

Design thickness for external pressure, (Corroded at 150 °F) UG-33(d)

Equivalent outside spherical radius (Ro)

Ro = Ko*Do

= 0.8907 * 36 = 32.0669 in

A = 0.125 / (Ro/t)

= 0.125 / (32.0669/0.092617) = 0.000361

From Table CS-2: B=5,193.4531 psi

Pa = B/(Ro/t)

= 5,193.453/(32.0669/0.092617) = 15 psi

t = 0.0926" + Corrosion = 0.0926" + 0" = 0.0926"

Check the external pressure per UG-33(a)(1) Appendix 1-4(c)

t = 1.67*Pe*Do*K / (2*S*E + 2*1.67*Pe*(K - 0.1)) + Corrosion

= 1.67*15*36*1 / (2*20000*1 + 2*1.67*15*(1 - 0.1)) + 0= 0.0225"

The head external pressure design thickness (te) is 0.092617".

Maximum Allowable External Pressure, (Corroded at 150 °F) UG-33(d)

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Top Head

Equivalent outside spherical radius (Ro)

Ro = Ko*Do

= 0.8907 * 36 = 32.0669 in

A = 0.125 / (Ro/t)

= 0.125 / (32.0669/0.187) = 0.000729

From Table CS-2: B=10,516.7607 psi

Pa = B/(Ro/t)

= 10,516.76/(32.0669/0.187) = 61.3292 psi

Check the Maximum External Pressure, UG-33(a)(1) Appendix 1-4(c)

P = 2*S*E*t / ((K*Do - 2*t*(K - 0.1))*1.67) - Ps2

= 2*20000*1*0.187 / ((1*36 - 2*0.187*(1 - 0.1))*1.67) - 0= 125.5921 psi

The maximum allowable external pressure (MAEP) is 61.3292 psi.

% Extreme fiber elongation - UCS-79(d)

= (75*t / Rf)*(1 - Rf / Ro)

= (75*0.187 / 6.1499)*(1 - 6.1499 / ∞)

= 2.2805%

The extreme fiber elongation does not exceed 5%.

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Straight Flange on Top Head

Straight Flange on Top Head

ASME Section VIII Division 1, 2001 Edition, A03 Addenda

Component: Straight FlangeMaterial specification: SA-516 70 (ASME II-D p. 14, ln. 31)Material impact test exemption temperature from Fig UCS-66 Curve B = -20 °FFig UCS-66.1 MDMT reduction = 65.5 °F, (coincident ratio = 0.4801537)Rated MDMT is governed by UCS-66(b)(2)UCS-66 governing thickness = 0.187 in

Internal design pressure: P = 100 psi @ 150°FExternal design pressure: Pe = 15 psi @ 150°F

Static liquid head:

Pth=1.5093 psi(SG=1.0000, Hs=41.8130", Horizontal test head)

Corrosion allowance: Inner C = 0.0000" Outer C = 0.0000"

Design MDMT = -20.00°F No impact test performedRated MDMT = -55.00°F Material is not normalized

Material is not produced to Fine Grain PracticePWHT is not performed

Radiography: Longitudinal joint - Seamless No RTCircumferential joint - None UW-11(c) Type 1

Estimated weight: New = 11.9083 lb corr = 11.9083 lbCapacity: New = 8.6306 gal corr = 8.6306 gal

OD = 36.0000"Length Lc = 2.0000"

t = 0.1870"

Design thickness, (at 150.00°F) Appendix 1-1

t = P*Ro/(S*E + 0.40*P) + Corrosion

= 100.0000*18.0000/(20000.0000*0.85 + 0.40*100.0000) + 0.0000= 0.1057"

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Straight Flange on Top Head

Maximum allowable working pressure, (at 150.00°F) Appendix 1-1

P = S*E*t/(Ro - 0.40*t) - Ps

= 20000.0000*0.85*0.1870 / (18.0000 - 0.40*0.1870) - 0.0000= 177.3481 psi

Maximum allowable pressure, (at 70.00°F) Appendix 1-1

P = S*E*t/(Ro - 0.40*t)

= 20000.0000*0.85*0.1870 / (18.0000 - 0.40*0.1870)= 177.3481 psi

External Pressure, (Corroded & at 150.00°F) UG-28(c)

L/Do = 53.9377/36.0000 = 1.4983

Do/t = 36.0000/0.136839 = 263.0834

From table G: A = 0.000206

From table CS-2: B = 2959.6812

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

= 4*2959.6812/(3*(36.0000/0.136839))

= 15.0000 psi

Design thickness for external pressure Pa = 15.0000 psi

= t + Corrosion = 0.136839 + 0.0000 = 0.1368"

Maximum Allowable External Pressure, (Corroded & at 150.00°F) UG-28(c)

L/Do = 53.9377/36.0000 = 1.4983

Do/t = 36.0000/0.1870 = 192.5134

From table G: A = 0.000332

From table CS-2: B = 4775.1362

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

= 4*4775.1362/(3*(36.0000/0.1870))

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Straight Flange on Top Head

= 33.0722 psi

% Extreme fiber elongation - UCS-79(d)

= (50 * t / Rf) * (1 - Rf / Ro)

= (50 * 0.1870 / 17.9065) * (1 - 17.9065 / ∞)= 0.5222 %

Design thickness = 0.1368"

The governing condition is due to external pressure.

The cylinder thickness of 0.1870" is adequate.

Thickness Required Due to Pressure + External Loads

ConditionPressure P ( psi)

Allowable Stress Before UG-23 Stress Increase

( psi)Temperature

(°F)Corrosion

C (in)Load

Req'd Thk

Due to Tension

(in)

Req'd Thk Due to

Compression (in)St Sc

Operating, Hot & Corroded

100.00 20000.00 13255.46 150.00 0.0000 Weight 0.0635 0.0635

Operating, Hot & New

100.00 20000.00 13255.46 150.00 0.0000 Weight 0.0635 0.0635

Hot Shut Down, Corroded

0.00 20000.00 13255.46 150.00 0.0000 Weight 0.0001 0.0001

Hot Shut Down, New

0.00 20000.00 13255.46 150.00 0.0000 Weight 0.0001 0.0001

Empty, Corroded 0.00 20000.00 13255.46 0.00 0.0000 Weight 0.0001 0.0001

Empty, New 0.00 20000.00 13255.46 0.00 0.0000 Weight 0.0001 0.0001

Vacuum -15.00 20000.00 13255.46 150.00 0.0000 Weight 0.0101 0.0101

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Straight Flange on Top Head

Hot Shut Down, Corroded, Weight & Eccentric Moments Only

0.00 20000.00 13255.46 150.00 0.0000 Weight 0.0001 0.0001

Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2)

A = 0.125 / (Ro / t)

= 0.125 / (18.0000 / 0.1870)

= 0.001299

B = 13255.4551 psi

S = 20000.0000 / 1.0000

= 20000.0000 psi

ScHC = 13255.4551 psi

Allowable Compressive Stress, Hot and New- ScHN

ScHN = ScHC

= 13255.4551 psi

Allowable Compressive Stress, Cold and New- ScCN, (table CS-2)

A = 0.125 / (Ro / t)

= 0.125 / (18.0000 / 0.1870)

= 0.001299

B = 13255.4551 psi

S = 20000.0000 / 1.0000

= 20000.0000 psi

ScCN = 13255.4551 psi

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Straight Flange on Top Head

Allowable Compressive Stress, Cold and Corroded- ScCC

ScCC = ScCN

= 13255.4551 psi

Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2)

A = 0.125 / (Ro / t)

= 0.125 / (18.0000 / 0.1870)

= 0.001299

B = 13255.4551 psi

S = 20000.0000 / 1.0000

= 20000.0000 psi

ScVC = 13255.4551 psi

Operating, Hot & Corroded, Bottom Seam

tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)

= 100.0000*17.8130/(2*20000.0000*1.0000*0.70 + 0.40*|100.0000|)

= 0.0635"

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 0.00/(π*17.90652*20000.0000*1.0000*0.70)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= 90.30/(2*π*17.9065*20000.0000*1.0000*0.70)

= 0.0001"

tt = tp + tm - tw (total required, tensile)

= 0.063527 + 0.000000 - (0.000057)

= 0.0635"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000000 + (0.000057) - (0.063527)|

= 0.0635"

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Straight Flange on Top Head

Maximum allowable working pressure, Longitudinal Stress

P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))

=2*20000.0000*1.0000*0.70*(0.1870-0.000000+(0.000057)) / (17.8130 - 0.40*(0.1870-0.000000+(0.000057)))

= 295.2730 psi

Operating, Hot & New, Bottom Seam

tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)

= 100.0000*17.8130/(2*20000.0000*1.0000*0.70 + 0.40*|100.0000|)

= 0.0635"

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 0.00/(π*17.90652*20000.0000*1.0000*0.70)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= 90.30/(2*π*17.9065*20000.0000*1.0000*0.70)

= 0.0001"

tt = tp + tm - tw (total required, tensile)

= 0.063527 + 0.000000 - (0.000057)

= 0.0635"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000000 + (0.000057) - (0.063527)|

= 0.0635"

Maximum allowable working pressure, Longitudinal Stress

P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))

=2*20000.0000*1.0000*0.70*(0.1870-0.000000+(0.000057)) / (17.8130 - 0.40*(0.1870-0.000000+(0.000057)))

= 295.2730 psi

Hot Shut Down, Corroded, Bottom Seam

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Straight Flange on Top Head

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 0.00/(π*17.90652*13255.4551*1.0000)

= 0.0000"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 90.30/(2*π*17.9065*13255.4551*1.0000)

= 0.0001"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000000 - (0.000061)|

= 0.0001"

tc = tmc + twc - tpc (total required, compressive)

= 0.000000 + (0.000061) - (0.000000)

= 0.0001"

Hot Shut Down, New, Bottom Seam

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 0.00/(π*17.90652*13255.4551*1.0000)

= 0.0000"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 90.30/(2*π*17.9065*13255.4551*1.0000)

= 0.0001"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000000 - (0.000061)|

= 0.0001"

tc = tmc + twc - tpc (total required, compressive)

= 0.000000 + (0.000061) - (0.000000)

= 0.0001"

Empty, Corroded, Bottom Seam

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Straight Flange on Top Head

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 0.00/(π*17.90652*13255.4551*1.0000)

= 0.0000"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 90.30/(2*π*17.9065*13255.4551*1.0000)

= 0.0001"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000000 - (0.000061)|

= 0.0001"

tc = tmc + twc - tpc (total required, compressive)

= 0.000000 + (0.000061) - (0.000000)

= 0.0001"

Empty, New, Bottom Seam

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 0.00/(π*17.90652*13255.4551*1.0000)

= 0.0000"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 90.30/(2*π*17.9065*13255.4551*1.0000)

= 0.0001"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000000 - (0.000061)|

= 0.0001"

tc = tmc + twc - tpc (total required, compressive)

= 0.000000 + (0.000061) - (0.000000)

= 0.0001"

Vacuum, Bottom Seam

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Straight Flange on Top Head

tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)

= -15.0000*17.8130/(2*13255.4551*1.0000 + 0.40*|15.0000|)

= -0.0101"

tm = M/(π*Rm2*Sc*Ks) (bending)

= 0.00/(π*17.90652*13255.4551*1.0000)

= 0.0000"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 90.30/(2*π*17.9065*13255.4551*1.0000)

= 0.0001"

tt = |tp + tm - tw| (total, net compressive)

= |-0.010076 + 0.000000 - (0.000061)|

= 0.0101"

tc = tmc + twc - tpc (total required, compressive)

= 0.000000 + (0.000061) - (-0.010076)

= 0.0101"

Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*Sc*Ks) (bending)

= 0.00/(π*17.90652*13255.4551*1.0000)

= 0.0000"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= 90.30/(2*π*17.9065*13255.4551*1.0000)

= 0.0001"

tt = |tp + tm - tw| (total, net compressive)

= |0.000000 + 0.000000 - (0.000061)|

= 0.0001"

tc = tmc + twc - tpc (total required, compressive)

= 0.000000 + (0.000061) - (0.000000)

= 0.0001"

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Straight Flange on Bottom Head

Straight Flange on Bottom Head

ASME Section VIII Division 1, 2001 Edition, A03 Addenda

Component: Straight FlangeMaterial specification: SA-516 70 (ASME II-D p. 14, ln. 31)Material impact test exemption temperature from Fig UCS-66 Curve B = -20 °FFig UCS-66.1 MDMT reduction = 65.5 °F, (coincident ratio = 0.4801537)Rated MDMT is governed by UCS-66(b)(2)UCS-66 governing thickness = 0.187 in

Internal design pressure: P = 100 psi @ 150°FExternal design pressure: Pe = 15 psi @ 150°F

Static liquid head:

Pth=1.5093 psi(SG=1.0000, Hs=41.8130", Horizontal test head)

Corrosion allowance: Inner C = 0.0000" Outer C = 0.0000"

Design MDMT = -20.00°F No impact test performedRated MDMT = -55.00°F Material is not normalized

Material is not produced to Fine Grain PracticePWHT is not performed

Radiography: Longitudinal joint - Seamless No RTCircumferential joint - None UW-11(c) Type 1

Estimated weight: New = 11.9083 lb corr = 11.9083 lbCapacity: New = 8.6306 gal corr = 8.6306 gal

OD = 36.0000"Length Lc = 2.0000"

t = 0.1870"

Design thickness, (at 150.00°F) Appendix 1-1

t = P*Ro/(S*E + 0.40*P) + Corrosion

= 100.0000*18.0000/(20000.0000*0.85 + 0.40*100.0000) + 0.0000= 0.1057"

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Straight Flange on Bottom Head

Maximum allowable working pressure, (at 150.00°F) Appendix 1-1

P = S*E*t/(Ro - 0.40*t) - Ps

= 20000.0000*0.85*0.1870 / (18.0000 - 0.40*0.1870) - 0.0000= 177.3481 psi

Maximum allowable pressure, (at 70.00°F) Appendix 1-1

P = S*E*t/(Ro - 0.40*t)

= 20000.0000*0.85*0.1870 / (18.0000 - 0.40*0.1870)= 177.3481 psi

External Pressure, (Corroded & at 150.00°F) UG-28(c)

L/Do = 53.9377/36.0000 = 1.4983

Do/t = 36.0000/0.136839 = 263.0834

From table G: A = 0.000206

From table CS-2: B = 2959.6812

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

= 4*2959.6812/(3*(36.0000/0.136839))

= 15.0000 psi

Design thickness for external pressure Pa = 15.0000 psi

= t + Corrosion = 0.136839 + 0.0000 = 0.1368"

Maximum Allowable External Pressure, (Corroded & at 150.00°F) UG-28(c)

L/Do = 53.9377/36.0000 = 1.4983

Do/t = 36.0000/0.1870 = 192.5134

From table G: A = 0.000332

From table CS-2: B = 4775.1362

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

= 4*4775.1362/(3*(36.0000/0.1870))

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Straight Flange on Bottom Head

= 33.0722 psi

% Extreme fiber elongation - UCS-79(d)

= (50 * t / Rf) * (1 - Rf / Ro)

= (50 * 0.1870 / 17.9065) * (1 - 17.9065 / ∞)= 0.5222 %

Design thickness = 0.1368"

The governing condition is due to external pressure.

The cylinder thickness of 0.1870" is adequate.

Thickness Required Due to Pressure + External Loads

ConditionPressure P ( psi)

Allowable Stress Before UG-23 Stress Increase

( psi)Temperature

(°F)Corrosion

C (in)Load

Req'd Thk

Due to Tension

(in)

Req'd Thk Due to

Compression (in)St Sc

Operating, Hot & Corroded

100.00 20000.00 13255.46 150.00 0.0000 Weight 0.0636 0.0636

Operating, Hot & New

100.00 20000.00 13255.46 150.00 0.0000 Weight 0.0636 0.0636

Hot Shut Down, Corroded

0.00 20000.00 13255.46 150.00 0.0000 Weight 0.0001 0.0001

Hot Shut Down, New

0.00 20000.00 13255.46 150.00 0.0000 Weight 0.0001 0.0001

Empty, Corroded 0.00 20000.00 13255.46 0.00 0.0000 Weight 0.0001 0.0001

Empty, New 0.00 20000.00 13255.46 0.00 0.0000 Weight 0.0001 0.0001

Vacuum -15.00 20000.00 13255.46 150.00 0.0000 Weight 0.0100 0.0100

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Straight Flange on Bottom Head

Hot Shut Down, Corroded, Weight & Eccentric Moments Only

0.00 20000.00 13255.46 150.00 0.0000 Weight 0.0001 0.0001

Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2)

A = 0.125 / (Ro / t)

= 0.125 / (18.0000 / 0.1870)

= 0.001299

B = 13255.4551 psi

S = 20000.0000 / 1.0000

= 20000.0000 psi

ScHC = 13255.4551 psi

Allowable Compressive Stress, Hot and New- ScHN

ScHN = ScHC

= 13255.4551 psi

Allowable Compressive Stress, Cold and New- ScCN, (table CS-2)

A = 0.125 / (Ro / t)

= 0.125 / (18.0000 / 0.1870)

= 0.001299

B = 13255.4551 psi

S = 20000.0000 / 1.0000

= 20000.0000 psi

ScCN = 13255.4551 psi

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Straight Flange on Bottom Head

Allowable Compressive Stress, Cold and Corroded- ScCC

ScCC = ScCN

= 13255.4551 psi

Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2)

A = 0.125 / (Ro / t)

= 0.125 / (18.0000 / 0.1870)

= 0.001299

B = 13255.4551 psi

S = 20000.0000 / 1.0000

= 20000.0000 psi

ScVC = 13255.4551 psi

Operating, Hot & Corroded, Top Seam

tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)

= 100.0000*17.8130/(2*20000.0000*1.0000*0.70 + 0.40*|100.0000|)

= 0.0635"

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 0.00/(π*17.90652*20000.0000*1.0000*0.70)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= -90.30/(2*π*17.9065*20000.0000*1.0000*0.70)

= -0.0001"

tt = tp + tm - tw (total required, tensile)

= 0.063527 + 0.000000 - (-0.000057)

= 0.0636"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000000 + (-0.000057) - (0.063527)|

= 0.0636"

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Straight Flange on Bottom Head

Maximum allowable working pressure, Longitudinal Stress

P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))

=2*20000.0000*1.0000*0.70*(0.1870-0.000000+(-0.000057)) / (17.8130 - 0.40*(0.1870-0.000000+(-0.000057)))

= 295.0913 psi

Operating, Hot & New, Top Seam

tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)

= 100.0000*17.8130/(2*20000.0000*1.0000*0.70 + 0.40*|100.0000|)

= 0.0635"

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 0.00/(π*17.90652*20000.0000*1.0000*0.70)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= -90.30/(2*π*17.9065*20000.0000*1.0000*0.70)

= -0.0001"

tt = tp + tm - tw (total required, tensile)

= 0.063527 + 0.000000 - (-0.000057)

= 0.0636"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000000 + (-0.000057) - (0.063527)|

= 0.0636"

Maximum allowable working pressure, Longitudinal Stress

P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))

=2*20000.0000*1.0000*0.70*(0.1870-0.000000+(-0.000057)) / (17.8130 - 0.40*(0.1870-0.000000+(-0.000057)))

= 295.0913 psi

Hot Shut Down, Corroded, Top Seam

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Straight Flange on Bottom Head

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 0.00/(π*17.90652*20000.0000*1.0000*0.70)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= -90.30/(2*π*17.9065*20000.0000*1.0000*0.70)

= -0.0001"

tt = tp + tm - tw (total required, tensile)

= 0.000000 + 0.000000 - (-0.000057)

= 0.0001"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000000 + (-0.000057) - (0.000000)|

= 0.0001"

Hot Shut Down, New, Top Seam

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 0.00/(π*17.90652*20000.0000*1.0000*0.70)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= -90.30/(2*π*17.9065*20000.0000*1.0000*0.70)

= -0.0001"

tt = tp + tm - tw (total required, tensile)

= 0.000000 + 0.000000 - (-0.000057)

= 0.0001"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000000 + (-0.000057) - (0.000000)|

= 0.0001"

Empty, Corroded, Top Seam

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Straight Flange on Bottom Head

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 0.00/(π*17.90652*20000.0000*1.0000*0.70)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= -90.30/(2*π*17.9065*20000.0000*1.0000*0.70)

= -0.0001"

tt = tp + tm - tw (total required, tensile)

= 0.000000 + 0.000000 - (-0.000057)

= 0.0001"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000000 + (-0.000057) - (0.000000)|

= 0.0001"

Empty, New, Top Seam

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 0.00/(π*17.90652*20000.0000*1.0000*0.70)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= -90.30/(2*π*17.9065*20000.0000*1.0000*0.70)

= -0.0001"

tt = tp + tm - tw (total required, tensile)

= 0.000000 + 0.000000 - (-0.000057)

= 0.0001"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000000 + (-0.000057) - (0.000000)|

= 0.0001"

Vacuum, Top Seam

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Straight Flange on Bottom Head

tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)

= -15.0000*17.8130/(2*13255.4551*1.0000 + 0.40*|15.0000|)

= -0.0101"

tm = M/(π*Rm2*Sc*Ks) (bending)

= 0.00/(π*17.90652*13255.4551*1.0000)

= 0.0000"

tw = W/(2*π*Rm*Sc*Ks) (Weight)

= -90.30/(2*π*17.9065*13255.4551*1.0000)

= -0.0001"

tt = |tp + tm - tw| (total, net compressive)

= |-0.010076 + 0.000000 - (-0.000061)|

= 0.0100"

tc = tmc + twc - tpc (total required, compressive)

= 0.000000 + (-0.000061) - (-0.010076)

= 0.0100"

Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Top Seam

tp = 0.0000" (Pressure)

tm = M/(π*Rm2*St*Ks*Ec) (bending)

= 0.00/(π*17.90652*20000.0000*1.0000*0.70)

= 0.0000"

tw = W/(2*π*Rm*St*Ks*Ec) (Weight)

= -90.30/(2*π*17.9065*20000.0000*1.0000*0.70)

= -0.0001"

tt = tp + tm - tw (total required, tensile)

= 0.000000 + 0.000000 - (-0.000057)

= 0.0001"

tc = |tmc + twc - tpc| (total, net tensile)

= |0.000000 + (-0.000057) - (0.000000)|

= 0.0001"

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Bottom Head

Bottom Head

ASME Section VIII, Division 1, 2001 Edition, A03 Addenda

Component: Ellipsoidal Head Material Specification: SA-516 70 (ASME II-D p.14, ln. 31)Straight Flange governs MDMT

Internal design pressure: P = 100 psi @ 150 °FExternal design pressure: Pe = 15 psi @ 150 °F

Static liquid head:

Ps= 0 psi (SG=1, Hs=0" Operating head)

Pth= 1.5093 psi (SG=1, Hs=41.813" Horizontal test head)

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

Design MDMT = -20°F No impact test performed Rated MDMT = -55°F Material is not normalized

Material is not produced to fine grain practice PWHT is not performed Do not Optimize MDMT / Find MAWP

Radiography: Category A joints - Seamless No RT Head to shell seam - None UW-11(c) Type 1

Estimated weight*: new = 90.3 lb corr = 90.3 lb Capacity*: new = 34.3 US gal corr = 34.3 US gal* includes straight flange

Outer diameter = 36"Minimum head thickness = 0.187"Head ratio D/2h = 2 (new)Head ratio D/2h = 2 (corroded)Straight flange length Lsf = 2"Nominal straight flange thickness tsf = 0.187"

Insulation thk*: 0" density: 0 lb/ft3 weight: 0 lb

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Bottom Head

Insulation support ring spacing:

0" individual weight: 0 lb total weight: 0 lb

Lining/ref thk*: 0" density: 0 lb/ft3 weight: 0 lb

* includes straight flange if applicable

Results Summary

The governing condition is internal pressure.Minimum thickness per UG-16 = 0.0625" + 0" = 0.0625"Design thickness due to internal pressure (t) = 0.1054"Design thickness due to external pressure (te) = 0.0927"

Maximum allowable working pressure (MAWP) = 178.278 psi

Maximum allowable pressure (MAP) = 178.278 psi

Maximum allowable external pressure (MAEP) = 61.3292 psi

K (Corroded)

K = (1/6)*[2 + (D / (2*h))2]= (1/6)*[2 + (35.626 / (2*8.9065))2]= 1

K (New)

K = (1/6)*[2 + (D / (2*h))2]= (1/6)*[2 + (35.626 / (2*8.9065))2]= 1

Design thickness for internal pressure, (Corroded at 150 °F) Appendix 1-4(c)

t = P*Do*K / (2*S*E + 2*P*(K - 0.1)) + Corrosion

= 100*36*1 / (2*20000*0.85 + 2*100*(1 - 0.1)) + 0= 0.1053"

The head internal pressure design thickness is 0.1054".

Maximum allowable working pressure, (Corroded at 150 °F) Appendix 1-4(c)

P = 2*S*E*t / (K*Do - 2*t*(K - 0.1)) - Ps

= 2*20000*0.85*0.187 / (1*36 - 2*0.187*(1 - 0.1)) - 0

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Bottom Head

= 178.278 psi

The maximum allowable working pressure (MAWP) is 178.278 psi.

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

P = 2*S*E*t / (K*Do - 2*t*(K - 0.1)) - Ps

= 2*20000*0.85*0.187 / (1*36 - 2*0.187*(1 - 0.1)) - 0= 178.278 psi

The maximum allowable pressure (MAP) is 178.278 psi.

Design thickness for external pressure, (Corroded at 150 °F) UG-33(d)

Equivalent outside spherical radius (Ro)

Ro = Ko*Do

= 0.8907 * 36 = 32.0669 in

A = 0.125 / (Ro/t)

= 0.125 / (32.0669/0.092617) = 0.000361

From Table CS-2: B=5,193.4531 psi

Pa = B/(Ro/t)

= 5,193.453/(32.0669/0.092617) = 15 psi

t = 0.0926" + Corrosion = 0.0926" + 0" = 0.0926"

Check the external pressure per UG-33(a)(1) Appendix 1-4(c)

t = 1.67*Pe*Do*K / (2*S*E + 2*1.67*Pe*(K - 0.1)) + Corrosion

= 1.67*15*36*1 / (2*20000*1 + 2*1.67*15*(1 - 0.1)) + 0= 0.0225"

The head external pressure design thickness (te) is 0.092617".

Maximum Allowable External Pressure, (Corroded at 150 °F) UG-33(d)

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Bottom Head

Equivalent outside spherical radius (Ro)

Ro = Ko*Do

= 0.8907 * 36 = 32.0669 in

A = 0.125 / (Ro/t)

= 0.125 / (32.0669/0.187) = 0.000729

From Table CS-2: B=10,516.7607 psi

Pa = B/(Ro/t)

= 10,516.76/(32.0669/0.187) = 61.3292 psi

Check the Maximum External Pressure, UG-33(a)(1) Appendix 1-4(c)

P = 2*S*E*t / ((K*Do - 2*t*(K - 0.1))*1.67) - Ps2

= 2*20000*1*0.187 / ((1*36 - 2*0.187*(1 - 0.1))*1.67) - 0= 125.5921 psi

The maximum allowable external pressure (MAEP) is 61.3292 psi.

% Extreme fiber elongation - UCS-79(d)

= (75*t / Rf)*(1 - Rf / Ro)

= (75*0.187 / 6.1499)*(1 - 6.1499 / ∞)

= 2.2805%

The extreme fiber elongation does not exceed 5%.

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Nozzle #1 (N1)

Nozzle #1 (N1)

ASME Section VIII Division 1, 2001 Edition, A03 Addenda

tw(lower) = 0.1250 in

Leg41 = 0.1870 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 (ASME II-D p. 10, ln. 15)Nozzle longitudinal joint efficiency: 1.00Nozzle description: 1.500" Sch 40 (Std)Flange description: 1.5 inch 150# WN A105Bolt Material: SA-193 B7 Bolt <= 2 1/2Flange rated MDMT: -55.00 °F(UCS-66(b)(1)(b))Liquid static head on flange: 0 psiASME B16.5 flange rating MAWP: 272.50 psi @ 150.00°FASME B16.5 flange rating MAP: 285.00 psi @ 70.00°FASME B16.5 flange hydro test: 450.00 psi @ 70.00°FNozzle orientation: 0 °Local vessel minimum thickness: 0.1875 inNozzle center line offset to datum line: 36.0000 inEnd of nozzle to shell center: 22.0000 inNozzle inside diameter, new: 1.6100 inNozzle nominal wall thickness: 0.1450 inNozzle corrosion allowance: 0.0000 inProjection available outside vessel, Lpr: 4.0000 in

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Nozzle #1 (N1)

Reinforcement Calculations for Internal Pressure

The vessel wall thickness governs the MAWP of this nozzle.

UG-37 Area Calculation Summary (in2)For P = 209.14 psi @ 150.00 °F

UG-45 Nozzle WallThickness Summary (in)The nozzle passes UG-45

Arequired

Aavailable

A1 A2 A3 A5Awelds

treq tmin

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 0.1269 0.1269

Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Weld descriptionRequired weldthroat size (in)

Actual weldthroat size (in)

Status

Nozzle to shell fillet (Leg41) 0.1015 0.1309 weld size is adequate

Nozzle to shell groove (Lower) 0.1015 0.1250 weld size is adequate

Calculations for internal pressure 209.14 psi @ 150.00 °F

Fig UCS-66.2 general note (1) applies.

Nozzle is impact test exempt per UCS-66(d)(NPS 4 or smaller pipe).

Nozzle UCS-66 governing thk: 0.1269 inNozzle rated MDMT: -155.00 °F

Limits of reinforcement per UG-40

Parallel to the vessel wall: d = 1.6100 in

Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.3625 in

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

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

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Nozzle #1 (N1)

= 209.1423*0.805/(17,100.00*1 - 0.6*209.1423)= 0.0099 in

Required thickness tr from UG-37(a)

tr = P*Ro/(S*E + 0.4*P)

= 209.1423*18/(20,000.00*1 + 0.4*209.1423)= 0.1874 in

This opening does not require reinforcement per UG-36(c)(3)(a)

Area calculations for weld failure path analysis

Allowable stresses: Sn = 17,100.00, Sv = 20,000.00 psi

fr1 = lesser of 1 or Sn/Sv = 0.855

fr2 = lesser of 1 or Sn/Sv = 0.855

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

= 1.61*0.18744*1 + 2*0.145*0.18744*1*(1 - 0.855)= 0.3097 in2

A1 = larger of the following= 0.0001 in2

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

= 1.61*(1*0.1875 - 1*0.18744) - 2*0.145*(1*0.1875 - 1*0.18744)*(1 - 0.855)= 0.0001 in2

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

= 2*(0.1875 + 0.145)*(1*0.1875 - 1*0.18744) - 2*0.145*(1*0.1875 - 1*0.18744)*(1 - 0.855)= 0.0000 in2

A2 = smaller of the following= 0.0837 in2

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

= 5*(0.145 - 0.0099)*0.855*0.1875= 0.1083 in2

= 5*(tn - trn)*fr2*tn= 5*(0.145 - 0.0099)*0.855*0.145= 0.0837 in2

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Nozzle #1 (N1)

A41 = Leg2*fr2

= 0.1872*0.855 =0.0299 in2

UW-16(d) Weld Check

tmin = lesser of 0.75 or tn or t = 0.1450 in

t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.1015 in

t1(actual) = 0.7*Leg = 0.7*0.187 = 0.1309 in

The weld size t1 is satisfactory.

t2(actual) = 0.125 in

The weld size t2 is satisfactory.

t1 + t2 = 0.2559 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.

UG-45 Nozzle Neck Thickness Check

Wall thickness per UG-45(a): tr1 = 0.0099 in (E =1)

Wall thickness per UG-45(b)(1): tr2 = 0.1874 in

Wall thickness per UG-16(b): tr3 = 0.0625 in

Standard wall pipe per UG-45(b)(4): tr4 = 0.1269 in

The greater of tr2 or tr3: tr5 = 0.1874 in

The lesser of tr4 or tr5: tr6 = 0.1269 in

Required per UG-45 is the larger of tr1 or tr6 = 0.1269 in

Available nozzle wall thickness new, tn = 0.8750*0.1450 = 0.1269 in

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 (in2)For P = 209.14 psi @ 70.00 °F

UG-45 Nozzle WallThickness Summary (in)The nozzle passes UG-45

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Nozzle #1 (N1)

Arequired

Aavailable

A1 A2 A3 A5Awelds

treq tmin

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 0.1269 0.1269

Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Weld descriptionRequired weldthroat size (in)

Actual weldthroat size (in)

Status

Nozzle to shell fillet (Leg41) 0.1015 0.1309 weld size is adequate

Nozzle to shell groove (Lower) 0.1015 0.1250 weld size is adequate

Calculations for internal pressure 209.14 psi @ 70.00 °F

Limits of reinforcement per UG-40

Parallel to the vessel wall: d = 1.6100 in

Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.3625 in

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

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

= 209.1423*0.805/(17,100.00*1 - 0.6*209.1423)= 0.0099 in

Required thickness tr from UG-37(a)

tr = P*Ro/(S*E + 0.4*P)

= 209.1423*18/(20,000.00*1 + 0.4*209.1423)= 0.1874 in

This opening does not require reinforcement per UG-36(c)(3)(a)

Area calculations for weld failure path analysis

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Nozzle #1 (N1)

Allowable stresses: Sn = 17,100.00, Sv = 20,000.00 psi

fr1 = lesser of 1 or Sn/Sv = 0.855

fr2 = lesser of 1 or Sn/Sv = 0.855

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

= 1.61*0.18744*1 + 2*0.145*0.18744*1*(1 - 0.855)= 0.3097 in2

A1 = larger of the following= 0.0001 in2

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

= 1.61*(1*0.1875 - 1*0.18744) - 2*0.145*(1*0.1875 - 1*0.18744)*(1 - 0.855)= 0.0001 in2

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

= 2*(0.1875 + 0.145)*(1*0.1875 - 1*0.18744) - 2*0.145*(1*0.1875 - 1*0.18744)*(1 - 0.855)= 0.0000 in2

A2 = smaller of the following= 0.0837 in2

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

= 5*(0.145 - 0.0099)*0.855*0.1875= 0.1083 in2

= 5*(tn - trn)*fr2*tn= 5*(0.145 - 0.0099)*0.855*0.145= 0.0837 in2

A41 = Leg2*fr2

= 0.1872*0.855 =0.0299 in2

UW-16(d) Weld Check

tmin = lesser of 0.75 or tn or t = 0.1450 in

t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.1015 in

t1(actual) = 0.7*Leg = 0.7*0.187 = 0.1309 in

The weld size t1 is satisfactory.

t2(actual) = 0.125 in

The weld size t2 is satisfactory.

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Nozzle #1 (N1)

t1 + t2 = 0.2559 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.

UG-45 Nozzle Neck Thickness Check

Wall thickness per UG-45(a): tr1 = 0.0099 in (E =1)

Wall thickness per UG-45(b)(1): tr2 = 0.1874 in

Wall thickness per UG-16(b): tr3 = 0.0625 in

Standard wall pipe per UG-45(b)(4): tr4 = 0.1269 in

The greater of tr2 or tr3: tr5 = 0.1874 in

The lesser of tr4 or tr5: tr6 = 0.1269 in

Required per UG-45 is the larger of tr1 or tr6 = 0.1269 in

Available nozzle wall thickness new, tn = 0.8750*0.1450 = 0.1269 in

The nozzle neck thickness is adequate.

Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (in2)For Pe = 33.33 psi @ 150.00 °F

UG-45 Nozzle WallThickness Summary (in)The nozzle passes UG-45

Arequired

Aavailable

A1 A2 A3 A5Awelds

treq tmin

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 0.0625 0.1269

Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Weld descriptionRequired weldthroat size (in)

Actual weldthroat size (in)

Status

Nozzle to shell fillet (Leg41) 0.1015 0.1309 weld size is adequate

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Nozzle #1 (N1)

Nozzle to shell groove (Lower) 0.1015 0.1250 weld size is adequate

Calculations for external pressure 33.33 psi @ 150.00 °F

Limits of reinforcement per UG-40

Parallel to the vessel wall: d = 1.6100 in

Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.3625 in

Nozzle required thickness per UG-28 trn = 0.0114 in

From UG-37(d)(1) required thickness tr = 0.1875 in

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(d) Weld Check

tmin = lesser of 0.75 or tn or t = 0.1450 in

t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.1015 in

t1(actual) = 0.7*Leg = 0.7*0.187 = 0.1309 in

The weld size t1 is satisfactory.

t2(actual) = 0.125 in

The weld size t2 is satisfactory.

t1 + t2 = 0.2559 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.

UG-45 Nozzle Neck Thickness Check

Wall thickness per UG-45(a): tr1 = 0.0114 in

Wall thickness per UG-45(b)(2): tr2 = 0.0300 in

Wall thickness per UG-16(b): tr3 = 0.0625 in

Standard wall pipe per UG-45(b)(4): tr4 = 0.1269 in

The greater of tr2 or tr3: tr5 = 0.0625 in

The lesser of tr4 or tr5: tr6 = 0.0625 in

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Nozzle #1 (N1)

Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in

Available nozzle wall thickness new, tn = 0.8750*0.1450 = 0.1269 in

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 150.00°F) UG-28(c)

L/Do = 4.0251/1.9000 = 2.1185

Do/t = 1.9000/0.011395 = 166.7393

From table G: A = 0.000290

From table CS-2: B = 4168.5352

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

= 4*4168.5352/(3*(1.9000/0.011395))

= 33.3338 psi

Design thickness for external pressure Pa = 33.3338 psi

= t + Corrosion = 0.011395 + 0.0000 = 0.0114"

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Nozzle #2 (N2)

Nozzle #2 (N2)

ASME Section VIII Division 1, 2001 Edition, A03 Addenda

tw(lower) = 0.1250 in

Leg41 = 0.1870 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 (ASME II-D p. 10, ln. 15)Nozzle longitudinal joint efficiency: 1.00Nozzle description: 1.500" Sch 40 (Std)Flange description: 1.5 inch 150# WN A105Bolt Material: SA-193 B7 Bolt <= 2 1/2Flange rated MDMT: -55.00 °F(UCS-66(b)(1)(b))Liquid static head on flange: 0 psiASME B16.5 flange rating MAWP: 272.50 psi @ 150.00°FASME B16.5 flange rating MAP: 285.00 psi @ 70.00°FASME B16.5 flange hydro test: 450.00 psi @ 70.00°FNozzle orientation: 0 °Local vessel minimum thickness: 0.1875 inNozzle center line offset to datum line: 36.0000 inEnd of nozzle to shell center: 22.0000 inOffset from center, Lo: 8.0000 inNozzle inside diameter, new: 1.6100 inNozzle nominal wall thickness: 0.1450 inNozzle corrosion allowance: 0.0000 inOpening chord length: 1.8014 inProjection available outside vessel, Lpr: 5.4381 in

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Nozzle #2 (N2)

Reinforcement Calculations for Internal Pressure

The vessel wall thickness governs the MAWP of this nozzle.

UG-37 Area Calculation Summary (in2)For P = 209.14 psi @ 150.00 °F

UG-45 Nozzle WallThickness Summary (in)The nozzle passes UG-45

Arequired

Aavailable

A1 A2 A3 A5Awelds

treq tmin

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 0.1269 0.1269

Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Weld descriptionRequired weldthroat size (in)

Actual weldthroat size (in)

Status

Nozzle to shell fillet (Leg41) 0.1015 0.1309 weld size is adequate

Nozzle to shell groove (Lower) 0.1015 0.1250 weld size is adequate

Calculations for internal pressure 209.14 psi @ 150.00 °F

Fig UCS-66.2 general note (1) applies.

Nozzle is impact test exempt per UCS-66(d)(NPS 4 or smaller pipe).

Nozzle UCS-66 governing thk: 0.1269 inNozzle rated MDMT: -155.00 °F

Limits of reinforcement per UG-40

Parallel to the vessel wall: d = 1.8014 in

Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.3625 in

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

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Nozzle #2 (N2)

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

= 209.1423*0.805/(17,100.00*1 - 0.6*209.1423)= 0.0099 in

Required thickness tr from UG-37(a)

tr = P*Ro/(S*E + 0.4*P)

= 209.1423*18/(20,000.00*1 + 0.4*209.1423)= 0.1874 in

This opening does not require reinforcement per UG-36(c)(3)(a)

Area calculations for weld failure path analysis

Allowable stresses: Sn = 17,100.00, Sv = 20,000.00 psi

fr1 = lesser of 1 or Sn/Sv = 0.855

fr2 = lesser of 1 or Sn/Sv = 0.855

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

= 1.8014*0.18744*1 + 2*0.145*0.18744*1*(1 - 0.855)= 0.3455 in2

A1 = larger of the following= 0.0001 in2

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

= 1.8014*(1*0.1875 - 1*0.18744) - 2*0.145*(1*0.1875 - 1*0.18744)*(1 - 0.855)= 0.0001 in2

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

= 2*(0.1875 + 0.145)*(1*0.1875 - 1*0.18744) - 2*0.145*(1*0.1875 - 1*0.18744)*(1 - 0.855)= 0.0000 in2

A2 = smaller of the following= 0.0837 in2

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

= 5*(0.145 - 0.0099)*0.855*0.1875= 0.1083 in2

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

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Nozzle #2 (N2)

= 5*(0.145 - 0.0099)*0.855*0.145= 0.0837 in2

A41 = Leg2*fr2

= 0.1872*0.855 =0.0299 in2

UW-16(d) Weld Check

tmin = lesser of 0.75 or tn or t = 0.1450 in

t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.1015 in

t1(actual) = 0.7*Leg = 0.7*0.187 = 0.1309 in

The weld size t1 is satisfactory.

t2(actual) = 0.125 in

The weld size t2 is satisfactory.

t1 + t2 = 0.2559 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.

UG-45 Nozzle Neck Thickness Check

Wall thickness per UG-45(a): tr1 = 0.0099 in (E =1)

Wall thickness per UG-45(b)(1): tr2 = 0.1874 in

Wall thickness per UG-16(b): tr3 = 0.0625 in

Standard wall pipe per UG-45(b)(4): tr4 = 0.1269 in

The greater of tr2 or tr3: tr5 = 0.1874 in

The lesser of tr4 or tr5: tr6 = 0.1269 in

Required per UG-45 is the larger of tr1 or tr6 = 0.1269 in

Available nozzle wall thickness new, tn = 0.8750*0.1450 = 0.1269 in

The nozzle neck thickness is adequate.

Reinforcement Calculations for MAP

The vessel wall thickness governs the MAP of this nozzle.

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Nozzle #2 (N2)

UG-37 Area Calculation Summary (in2)For P = 209.14 psi @ 70.00 °F

UG-45 Nozzle WallThickness Summary (in)The nozzle passes UG-45

Arequired

Aavailable

A1 A2 A3 A5Awelds

treq tmin

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 0.1269 0.1269

Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Weld descriptionRequired weldthroat size (in)

Actual weldthroat size (in)

Status

Nozzle to shell fillet (Leg41) 0.1015 0.1309 weld size is adequate

Nozzle to shell groove (Lower) 0.1015 0.1250 weld size is adequate

Calculations for internal pressure 209.14 psi @ 70.00 °F

Limits of reinforcement per UG-40

Parallel to the vessel wall: d = 1.8014 in

Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.3625 in

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

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

= 209.1423*0.805/(17,100.00*1 - 0.6*209.1423)= 0.0099 in

Required thickness tr from UG-37(a)

tr = P*Ro/(S*E + 0.4*P)

= 209.1423*18/(20,000.00*1 + 0.4*209.1423)= 0.1874 in

This opening does not require reinforcement per UG-36(c)(3)(a)

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Nozzle #2 (N2)

Area calculations for weld failure path analysis

Allowable stresses: Sn = 17,100.00, Sv = 20,000.00 psi

fr1 = lesser of 1 or Sn/Sv = 0.855

fr2 = lesser of 1 or Sn/Sv = 0.855

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

= 1.8014*0.18744*1 + 2*0.145*0.18744*1*(1 - 0.855)= 0.3455 in2

A1 = larger of the following= 0.0001 in2

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

= 1.8014*(1*0.1875 - 1*0.18744) - 2*0.145*(1*0.1875 - 1*0.18744)*(1 - 0.855)= 0.0001 in2

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

= 2*(0.1875 + 0.145)*(1*0.1875 - 1*0.18744) - 2*0.145*(1*0.1875 - 1*0.18744)*(1 - 0.855)= 0.0000 in2

A2 = smaller of the following= 0.0837 in2

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

= 5*(0.145 - 0.0099)*0.855*0.1875= 0.1083 in2

= 5*(tn - trn)*fr2*tn= 5*(0.145 - 0.0099)*0.855*0.145= 0.0837 in2

A41 = Leg2*fr2

= 0.1872*0.855 =0.0299 in2

UW-16(d) Weld Check

tmin = lesser of 0.75 or tn or t = 0.1450 in

t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.1015 in

t1(actual) = 0.7*Leg = 0.7*0.187 = 0.1309 in

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Nozzle #2 (N2)

The weld size t1 is satisfactory.

t2(actual) = 0.125 in

The weld size t2 is satisfactory.

t1 + t2 = 0.2559 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.

UG-45 Nozzle Neck Thickness Check

Wall thickness per UG-45(a): tr1 = 0.0099 in (E =1)

Wall thickness per UG-45(b)(1): tr2 = 0.1874 in

Wall thickness per UG-16(b): tr3 = 0.0625 in

Standard wall pipe per UG-45(b)(4): tr4 = 0.1269 in

The greater of tr2 or tr3: tr5 = 0.1874 in

The lesser of tr4 or tr5: tr6 = 0.1269 in

Required per UG-45 is the larger of tr1 or tr6 = 0.1269 in

Available nozzle wall thickness new, tn = 0.8750*0.1450 = 0.1269 in

The nozzle neck thickness is adequate.

Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (in2)For Pe = 33.33 psi @ 150.00 °F

UG-45 Nozzle WallThickness Summary (in)The nozzle passes UG-45

Arequired

Aavailable

A1 A2 A3 A5Awelds

treq tmin

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 0.0625 0.1269

Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

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Nozzle #2 (N2)

Weld descriptionRequired weldthroat size (in)

Actual weldthroat size (in)

Status

Nozzle to shell fillet (Leg41) 0.1015 0.1309 weld size is adequate

Nozzle to shell groove (Lower) 0.1015 0.1250 weld size is adequate

Calculations for external pressure 33.33 psi @ 150.00 °F

Limits of reinforcement per UG-40

Parallel to the vessel wall: d = 1.8002 in

Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.3625 in

Nozzle required thickness per UG-28 trn = 0.0140 in

From UG-37(d)(1) required thickness tr = 0.1875 in

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(d) Weld Check

tmin = lesser of 0.75 or tn or t = 0.1450 in

t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.1015 in

t1(actual) = 0.7*Leg = 0.7*0.187 = 0.1309 in

The weld size t1 is satisfactory.

t2(actual) = 0.125 in

The weld size t2 is satisfactory.

t1 + t2 = 0.2559 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.

UG-45 Nozzle Neck Thickness Check

Wall thickness per UG-45(a): tr1 = 0.0140 in

Wall thickness per UG-45(b)(2): tr2 = 0.0300 in

Wall thickness per UG-16(b): tr3 = 0.0625 in

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Nozzle #2 (N2)

Standard wall pipe per UG-45(b)(4): tr4 = 0.1269 in

The greater of tr2 or tr3: tr5 = 0.0625 in

The lesser of tr4 or tr5: tr6 = 0.0625 in

Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in

Available nozzle wall thickness new, tn = 0.8750*0.1450 = 0.1269 in

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 150.00°F) UG-28(c)

L/Do = 6.3828/1.9000 = 3.3594

Do/t = 1.9000/0.013962 = 136.0829

From table G: A = 0.000237

From table CS-2: B = 3402.0903

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

= 4*3402.0903/(3*(1.9000/0.013962))

= 33.3335 psi

Design thickness for external pressure Pa = 33.3335 psi

= t + Corrosion = 0.013962 + 0.0000 = 0.0140"

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Nozzle #3 (N3)

Nozzle #3 (N3)

ASME Section VIII Division 1, 2001 Edition, A03 Addenda

tw(lower) = 0.1250 in

Leg41 = 0.1870 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 (ASME II-D p. 10, ln. 15)Nozzle longitudinal joint efficiency: 1.00Nozzle description: 1.500" Sch 40 (Std)Flange description: 1.5 inch 150# WN A105Bolt Material: SA-193 B7 Bolt <= 2 1/2Flange rated MDMT: -55.00 °F(UCS-66(b)(1)(b))Liquid static head on flange: 0 psiASME B16.5 flange rating MAWP: 272.50 psi @ 150.00°FASME B16.5 flange rating MAP: 285.00 psi @ 70.00°FASME B16.5 flange hydro test: 450.00 psi @ 70.00°FNozzle orientation: 0 °Local vessel minimum thickness: 0.1875 inNozzle center line offset to datum line: 36.0000 inEnd of nozzle to shell center: 22.0000 inOffset from center, Lo: -8.0000 inNozzle inside diameter, new: 1.6100 inNozzle nominal wall thickness: 0.1450 inNozzle corrosion allowance: 0.0000 inOpening chord length: 1.8014 inProjection available outside vessel, Lpr: 5.4381 in

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Nozzle #3 (N3)

Reinforcement Calculations for Internal Pressure

The vessel wall thickness governs the MAWP of this nozzle.

UG-37 Area Calculation Summary (in2)For P = 209.14 psi @ 150.00 °F

UG-45 Nozzle WallThickness Summary (in)The nozzle passes UG-45

Arequired

Aavailable

A1 A2 A3 A5Awelds

treq tmin

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 0.1269 0.1269

Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Weld descriptionRequired weldthroat size (in)

Actual weldthroat size (in)

Status

Nozzle to shell fillet (Leg41) 0.1015 0.1309 weld size is adequate

Nozzle to shell groove (Lower) 0.1015 0.1250 weld size is adequate

Calculations for internal pressure 209.14 psi @ 150.00 °F

Fig UCS-66.2 general note (1) applies.

Nozzle is impact test exempt per UCS-66(d)(NPS 4 or smaller pipe).

Nozzle UCS-66 governing thk: 0.1269 inNozzle rated MDMT: -155.00 °F

Limits of reinforcement per UG-40

Parallel to the vessel wall: d = 1.8014 in

Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.3625 in

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

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Nozzle #3 (N3)

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

= 209.1423*0.805/(17,100.00*1 - 0.6*209.1423)= 0.0099 in

Required thickness tr from UG-37(a)

tr = P*Ro/(S*E + 0.4*P)

= 209.1423*18/(20,000.00*1 + 0.4*209.1423)= 0.1874 in

This opening does not require reinforcement per UG-36(c)(3)(a)

Area calculations for weld failure path analysis

Allowable stresses: Sn = 17,100.00, Sv = 20,000.00 psi

fr1 = lesser of 1 or Sn/Sv = 0.855

fr2 = lesser of 1 or Sn/Sv = 0.855

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

= 1.8014*0.18744*1 + 2*0.145*0.18744*1*(1 - 0.855)= 0.3455 in2

A1 = larger of the following= 0.0001 in2

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

= 1.8014*(1*0.1875 - 1*0.18744) - 2*0.145*(1*0.1875 - 1*0.18744)*(1 - 0.855)= 0.0001 in2

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

= 2*(0.1875 + 0.145)*(1*0.1875 - 1*0.18744) - 2*0.145*(1*0.1875 - 1*0.18744)*(1 - 0.855)= 0.0000 in2

A2 = smaller of the following= 0.0837 in2

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

= 5*(0.145 - 0.0099)*0.855*0.1875= 0.1083 in2

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

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Nozzle #3 (N3)

= 5*(0.145 - 0.0099)*0.855*0.145= 0.0837 in2

A41 = Leg2*fr2

= 0.1872*0.855 =0.0299 in2

UW-16(d) Weld Check

tmin = lesser of 0.75 or tn or t = 0.1450 in

t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.1015 in

t1(actual) = 0.7*Leg = 0.7*0.187 = 0.1309 in

The weld size t1 is satisfactory.

t2(actual) = 0.125 in

The weld size t2 is satisfactory.

t1 + t2 = 0.2559 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.

UG-45 Nozzle Neck Thickness Check

Wall thickness per UG-45(a): tr1 = 0.0099 in (E =1)

Wall thickness per UG-45(b)(1): tr2 = 0.1874 in

Wall thickness per UG-16(b): tr3 = 0.0625 in

Standard wall pipe per UG-45(b)(4): tr4 = 0.1269 in

The greater of tr2 or tr3: tr5 = 0.1874 in

The lesser of tr4 or tr5: tr6 = 0.1269 in

Required per UG-45 is the larger of tr1 or tr6 = 0.1269 in

Available nozzle wall thickness new, tn = 0.8750*0.1450 = 0.1269 in

The nozzle neck thickness is adequate.

Reinforcement Calculations for MAP

The vessel wall thickness governs the MAP of this nozzle.

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Nozzle #3 (N3)

UG-37 Area Calculation Summary (in2)For P = 209.14 psi @ 70.00 °F

UG-45 Nozzle WallThickness Summary (in)The nozzle passes UG-45

Arequired

Aavailable

A1 A2 A3 A5Awelds

treq tmin

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 0.1269 0.1269

Weld Failure Path Analysis Summary

The nozzle is exempt from weld strength calculations per UW-15(b)(2)

UW-16 Weld Sizing Summary

Weld descriptionRequired weldthroat size (in)

Actual weldthroat size (in)

Status

Nozzle to shell fillet (Leg41) 0.1015 0.1309 weld size is adequate

Nozzle to shell groove (Lower) 0.1015 0.1250 weld size is adequate

Calculations for internal pressure 209.14 psi @ 70.00 °F

Limits of reinforcement per UG-40

Parallel to the vessel wall: d = 1.8014 in

Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.3625 in

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

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

= 209.1423*0.805/(17,100.00*1 - 0.6*209.1423)= 0.0099 in

Required thickness tr from UG-37(a)

tr = P*Ro/(S*E + 0.4*P)

= 209.1423*18/(20,000.00*1 + 0.4*209.1423)= 0.1874 in

This opening does not require reinforcement per UG-36(c)(3)(a)

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Nozzle #3 (N3)

Area calculations for weld failure path analysis

Allowable stresses: Sn = 17,100.00, Sv = 20,000.00 psi

fr1 = lesser of 1 or Sn/Sv = 0.855

fr2 = lesser of 1 or Sn/Sv = 0.855

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

= 1.8014*0.18744*1 + 2*0.145*0.18744*1*(1 - 0.855)= 0.3455 in2

A1 = larger of the following= 0.0001 in2

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

= 1.8014*(1*0.1875 - 1*0.18744) - 2*0.145*(1*0.1875 - 1*0.18744)*(1 - 0.855)= 0.0001 in2

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

= 2*(0.1875 + 0.145)*(1*0.1875 - 1*0.18744) - 2*0.145*(1*0.1875 - 1*0.18744)*(1 - 0.855)= 0.0000 in2

A2 = smaller of the following= 0.0837 in2

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

= 5*(0.145 - 0.0099)*0.855*0.1875= 0.1083 in2

= 5*(tn - trn)*fr2*tn= 5*(0.145 - 0.0099)*0.855*0.145= 0.0837 in2

A41 = Leg2*fr2

= 0.1872*0.855 =0.0299 in2

UW-16(d) Weld Check

tmin = lesser of 0.75 or tn or t = 0.1450 in

t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.1015 in

t1(actual) = 0.7*Leg = 0.7*0.187 = 0.1309 in

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Nozzle #3 (N3)

The weld size t1 is satisfactory.

t2(actual) = 0.125 in

The weld size t2 is satisfactory.

t1 + t2 = 0.2559 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.

UG-45 Nozzle Neck Thickness Check

Wall thickness per UG-45(a): tr1 = 0.0099 in (E =1)

Wall thickness per UG-45(b)(1): tr2 = 0.1874 in

Wall thickness per UG-16(b): tr3 = 0.0625 in

Standard wall pipe per UG-45(b)(4): tr4 = 0.1269 in

The greater of tr2 or tr3: tr5 = 0.1874 in

The lesser of tr4 or tr5: tr6 = 0.1269 in

Required per UG-45 is the larger of tr1 or tr6 = 0.1269 in

Available nozzle wall thickness new, tn = 0.8750*0.1450 = 0.1269 in

The nozzle neck thickness is adequate.

Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (in2)For Pe = 33.33 psi @ 150.00 °F

UG-45 Nozzle WallThickness Summary (in)The nozzle passes UG-45

Arequired

Aavailable

A1 A2 A3 A5Awelds

treq tmin

This nozzle is exempt from area calculations per UG-36(c)(3)(a) 0.0625 0.1269

Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

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Nozzle #3 (N3)

Weld descriptionRequired weldthroat size (in)

Actual weldthroat size (in)

Status

Nozzle to shell fillet (Leg41) 0.1015 0.1309 weld size is adequate

Nozzle to shell groove (Lower) 0.1015 0.1250 weld size is adequate

Calculations for external pressure 33.33 psi @ 150.00 °F

Limits of reinforcement per UG-40

Parallel to the vessel wall: d = 1.8002 in

Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 0.3625 in

Nozzle required thickness per UG-28 trn = 0.0140 in

From UG-37(d)(1) required thickness tr = 0.1875 in

This opening does not require reinforcement per UG-36(c)(3)(a)

UW-16(d) Weld Check

tmin = lesser of 0.75 or tn or t = 0.1450 in

t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.1015 in

t1(actual) = 0.7*Leg = 0.7*0.187 = 0.1309 in

The weld size t1 is satisfactory.

t2(actual) = 0.125 in

The weld size t2 is satisfactory.

t1 + t2 = 0.2559 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.

UG-45 Nozzle Neck Thickness Check

Wall thickness per UG-45(a): tr1 = 0.0140 in

Wall thickness per UG-45(b)(2): tr2 = 0.0300 in

Wall thickness per UG-16(b): tr3 = 0.0625 in

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Nozzle #3 (N3)

Standard wall pipe per UG-45(b)(4): tr4 = 0.1269 in

The greater of tr2 or tr3: tr5 = 0.0625 in

The lesser of tr4 or tr5: tr6 = 0.0625 in

Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in

Available nozzle wall thickness new, tn = 0.8750*0.1450 = 0.1269 in

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 150.00°F) UG-28(c)

L/Do = 6.3828/1.9000 = 3.3594

Do/t = 1.9000/0.013962 = 136.0829

From table G: A = 0.000237

From table CS-2: B = 3402.0903

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

= 4*3402.0903/(3*(1.9000/0.013962))

= 33.3335 psi

Design thickness for external pressure Pa = 33.3335 psi

= t + Corrosion = 0.013962 + 0.0000 = 0.0140"

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Nozzle #4 (N4)

Nozzle #4 (N4)

ASME Section VIII Division 1, 2001 Edition, A03 Addenda

tw(lower) = 0.1313 in

Leg41 = 0.1875 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 (ASME II-D p. 10, ln. 15)Nozzle longitudinal joint efficiency: 1.00Nozzle description: 6" Sch 40 (Std)Flange description: 6 inch 150# WN A105Bolt Material: SA-193 B7 Bolt <= 2 1/2Flange rated MDMT: -55.00 °F(UCS-66(b)(1)(b))Liquid static head on flange: 0 psiASME B16.5 flange rating MAWP: 272.50 psi @ 150.00°FASME B16.5 flange rating MAP: 285.00 psi @ 70.00°FASME B16.5 flange hydro test: 450.00 psi @ 70.00°FNozzle orientation: 0 °Local vessel minimum thickness: 0.1875 inNozzle center line offset to datum line: 22.0000 inEnd of nozzle to shell center: 24.0000 inNozzle inside diameter, new: 6.0650 inNozzle nominal wall thickness: 0.2800 inNozzle corrosion allowance: 0.0000 inProjection available outside vessel, Lpr: 6.0000 in

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Nozzle #4 (N4)

Reinforcement Calculations for Internal Pressure

Available reinforcement per UG-37 governs the MAWP of this nozzle.

UG-37 Area Calculation Summary (in2)For P = 124.70 psi @ 150.00 °FThe opening is adequately reinforced

UG-45 Nozzle WallThickness Summary (in)The nozzle passes UG-45

Arequired

Aavailable

A1 A2 A3 A5Awelds

treq tmin

0.6881 0.6888 0.4521 0.2066 -- -- 0.0301 0.1119 0.2450

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

5,442.81 4,734.00 49,753.70 6,529.50 36,563.98

UW-16 Weld Sizing Summary

Weld descriptionRequired weldthroat size (in)

Actual weldthroat size (in)

Status

Nozzle to shell fillet (Leg41) 0.1312 0.1312 weld size is adequate

Nozzle to shell groove (Lower) 0.1313 0.1313 weld size is adequate

Calculations for internal pressure 124.70 psi @ 150.00 °F

Fig UCS-66.2 general note (1) applies.

Nozzle impact test exemption temperature from Fig UCS-66 Curve B = -20 °FFig UCS-66.1 MDMT reduction = 65.7 °F, (coincident ratio = 0.47904)Rated MDMT is governed by UCS-66(b)(2).

Nozzle UCS-66 governing thk: 0.1875 inNozzle rated MDMT: -55.00 °F

Limits of reinforcement per UG-40

Parallel to the vessel wall: d = 6.0650 in

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Nozzle #4 (N4)

Normal to the vessel wall outside: 2.5*(t - C) = 0.4688 in

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

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

= 124.6986*3.0325/(17,100.00*1 - 0.6*124.6986)= 0.0222 in

Required thickness tr from UG-37(a)

tr = P*Ro/(S*E + 0.4*P)

= 124.6986*18/(20,000.00*1 + 0.4*124.6986)= 0.1120 in

Area required per UG-37(c)

Allowable stresses: Sn = 17,100.00, Sv = 20,000.00 psi

fr1 = lesser of 1 or Sn/Sv = 0.855

fr2 = lesser of 1 or Sn/Sv = 0.855

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

= 6.065*0.11195*1 + 2*0.28*0.11195*1*(1 - 0.855)= 0.6881 in2

Area available from FIG. UG-37.1

A1 = larger of the following= 0.4521 in2

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

= 6.065*(1*0.1875 - 1*0.11195) - 2*0.28*(1*0.1875 - 1*0.11195)*(1 - 0.855)= 0.4521 in2

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

= 2*(0.1875 + 0.28)*(1*0.1875 - 1*0.11195) - 2*0.28*(1*0.1875 - 1*0.11195)*(1 - 0.855)= 0.0645 in2

A2 = smaller of the following= 0.2066 in2

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

= 5*(0.28 - 0.0222)*0.855*0.1875= 0.2066 in2

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Nozzle #4 (N4)

= 5*(tn - trn)*fr2*tn= 5*(0.28 - 0.0222)*0.855*0.28= 0.3086 in2

A41 = Leg2*fr2

= 0.18752*0.855 =0.0301 in2

Area = A1 + A2 + A41

= 0.4521 + 0.2066 + 0.0301= 0.6888 in2

As Area >= A the reinforcement is adequate.

UW-16(d) Weld Check

tmin = lesser of 0.75 or tn or t = 0.1875 in

t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.1312 in

t1(actual) = 0.7*Leg = 0.7*0.1875 = 0.1312 in

The weld size t1 is satisfactory.

t2(actual) = 0.1312 in

The weld size t2 is satisfactory.

t1 + t2 = 0.26245 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.

UG-45 Nozzle Neck Thickness Check

Wall thickness per UG-45(a): tr1 = 0.0222 in (E =1)

Wall thickness per UG-45(b)(1): tr2 = 0.1119 in

Wall thickness per UG-16(b): tr3 = 0.0625 in

Standard wall pipe per UG-45(b)(4): tr4 = 0.2450 in

The greater of tr2 or tr3: tr5 = 0.1119 in

The lesser of tr4 or tr5: tr6 = 0.1119 in

Required per UG-45 is the larger of tr1 or tr6 = 0.1119 in

Available nozzle wall thickness new, tn = 0.8750*0.2800 = 0.2450 in

The nozzle neck thickness is adequate.

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Nozzle #4 (N4)

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

Groove weld in tension: 0.74*20,000.00 = 14,800.00 psiNozzle wall in shear: 0.7*17,100.00 = 11,970.00 psiInner fillet weld in shear: 0.49*17,100.00 = 8,379.00 psi

Strength of welded joints:

(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*6.625*0.1875*8,379.00 = 16,349.30 lbf

(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*6.345*0.28*11,970.00 = 33,404.40 lbf

(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*6.625*0.13125*14,800.00 = 20,214.68 lbf

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

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

= (0.6880671 - 0.4521 + 2*0.28*0.855*(1*0.1875 - 1*0.11195))*20,000.00= 5,442.81 lbf

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

= (0.2066 + 0 + 0.0301 + 0)*20,000.00= 4,734.00 lbf

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

= (0.2066 + 0 + 0.0301 + 0 + 2*0.28*0.1875*0.855)*20,000.00= 6,529.50 lbf

Load for path 1-1 lesser of W or W1-1 = 4,734.00 lbf

Path 1-1 through (1) & (3) = 16,349.30 + 33,404.40 = 49,753.70 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 = 5,442.81 lbf

Path 2-2 through (1), (4) = 16,349.30 + 20,214.68 = 36,563.98 lbf

Path 2-2 is stronger than W so it is acceptable per UG-41(b)(2).

Reinforcement Calculations for MAP

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Nozzle #4 (N4)

Available reinforcement per UG-37 governs the MAP of this nozzle.

UG-37 Area Calculation Summary (in2)For P = 124.70 psi @ 70.00 °FThe opening is adequately reinforced

UG-45 Nozzle WallThickness Summary (in)The nozzle passes UG-45

Arequired

Aavailable

A1 A2 A3 A5Awelds

treq tmin

0.6881 0.6888 0.4521 0.2066 -- -- 0.0301 0.1119 0.2450

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

5,442.81 4,734.00 49,753.70 6,529.50 36,563.98

UW-16 Weld Sizing Summary

Weld descriptionRequired weldthroat size (in)

Actual weldthroat size (in)

Status

Nozzle to shell fillet (Leg41) 0.1312 0.1312 weld size is adequate

Nozzle to shell groove (Lower) 0.1313 0.1313 weld size is adequate

Calculations for internal pressure 124.70 psi @ 70.00 °F

Limits of reinforcement per UG-40

Parallel to the vessel wall: d = 6.0650 inNormal to the vessel wall outside: 2.5*(t - C) = 0.4688 in

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

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

= 124.6986*3.0325/(17,100.00*1 - 0.6*124.6986)= 0.0222 in

Required thickness tr from UG-37(a)

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Nozzle #4 (N4)

tr = P*Ro/(S*E + 0.4*P)

= 124.6986*18/(20,000.00*1 + 0.4*124.6986)= 0.1120 in

Area required per UG-37(c)

Allowable stresses: Sn = 17,100.00, Sv = 20,000.00 psi

fr1 = lesser of 1 or Sn/Sv = 0.855

fr2 = lesser of 1 or Sn/Sv = 0.855

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

= 6.065*0.11195*1 + 2*0.28*0.11195*1*(1 - 0.855)= 0.6881 in2

Area available from FIG. UG-37.1

A1 = larger of the following= 0.4521 in2

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

= 6.065*(1*0.1875 - 1*0.11195) - 2*0.28*(1*0.1875 - 1*0.11195)*(1 - 0.855)= 0.4521 in2

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

= 2*(0.1875 + 0.28)*(1*0.1875 - 1*0.11195) - 2*0.28*(1*0.1875 - 1*0.11195)*(1 - 0.855)= 0.0645 in2

A2 = smaller of the following= 0.2066 in2

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

= 5*(0.28 - 0.0222)*0.855*0.1875= 0.2066 in2

= 5*(tn - trn)*fr2*tn= 5*(0.28 - 0.0222)*0.855*0.28= 0.3086 in2

A41 = Leg2*fr2

= 0.18752*0.855 =0.0301 in2

Area = A1 + A2 + A41

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Nozzle #4 (N4)

= 0.4521 + 0.2066 + 0.0301= 0.6888 in2

As Area >= A the reinforcement is adequate.

UW-16(d) Weld Check

tmin = lesser of 0.75 or tn or t = 0.1875 in

t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.1312 in

t1(actual) = 0.7*Leg = 0.7*0.1875 = 0.1312 in

The weld size t1 is satisfactory.

t2(actual) = 0.1312 in

The weld size t2 is satisfactory.

t1 + t2 = 0.26245 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.

UG-45 Nozzle Neck Thickness Check

Wall thickness per UG-45(a): tr1 = 0.0222 in (E =1)

Wall thickness per UG-45(b)(1): tr2 = 0.1119 in

Wall thickness per UG-16(b): tr3 = 0.0625 in

Standard wall pipe per UG-45(b)(4): tr4 = 0.2450 in

The greater of tr2 or tr3: tr5 = 0.1119 in

The lesser of tr4 or tr5: tr6 = 0.1119 in

Required per UG-45 is the larger of tr1 or tr6 = 0.1119 in

Available nozzle wall thickness new, tn = 0.8750*0.2800 = 0.2450 in

The nozzle neck thickness is adequate.

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

Groove weld in tension: 0.74*20,000.00 = 14,800.00 psiNozzle wall in shear: 0.7*17,100.00 = 11,970.00 psiInner fillet weld in shear: 0.49*17,100.00 = 8,379.00 psi

Strength of welded joints:

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Nozzle #4 (N4)

(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*6.625*0.1875*8,379.00 = 16,349.30 lbf

(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*6.345*0.28*11,970.00 = 33,404.40 lbf

(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*6.625*0.13125*14,800.00 = 20,214.68 lbf

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

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

= (0.6880671 - 0.4521 + 2*0.28*0.855*(1*0.1875 - 1*0.11195))*20,000.00= 5,442.81 lbf

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

= (0.2066 + 0 + 0.0301 + 0)*20,000.00= 4,734.00 lbf

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

= (0.2066 + 0 + 0.0301 + 0 + 2*0.28*0.1875*0.855)*20,000.00= 6,529.50 lbf

Load for path 1-1 lesser of W or W1-1 = 4,734.00 lbf

Path 1-1 through (1) & (3) = 16,349.30 + 33,404.40 = 49,753.70 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 = 5,442.81 lbf

Path 2-2 through (1), (4) = 16,349.30 + 20,214.68 = 36,563.98 lbf

Path 2-2 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 = 18.93 psi @ 150.00 °FThe opening is adequately reinforced

UG-45 Nozzle WallThickness Summary (in)The nozzle passes UG-45

Arequired

Aavailable

A1 A2 A3 A5Awelds

treq tmin

0.4608 0.4609 0.2247 0.2061 -- -- 0.0301 0.0625 0.2450

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Nozzle #4 (N4)

Weld Failure Path Analysis Summary

Weld strength calculations are not required for external pressure

UW-16 Weld Sizing Summary

Weld descriptionRequired weldthroat size (in)

Actual weldthroat size (in)

Status

Nozzle to shell fillet (Leg41) 0.1312 0.1312 weld size is adequate

Nozzle to shell groove (Lower) 0.1313 0.1313 weld size is adequate

Calculations for external pressure 18.93 psi @ 150.00 °F

Limits of reinforcement per UG-40

Parallel to the vessel wall: d = 6.0650 inNormal to the vessel wall outside: 2.5*(t - C) = 0.4688 in

Nozzle required thickness per UG-28 trn = 0.0229 in

From UG-37(d)(1) required thickness tr = 0.1500 in

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

Allowable stresses: Sn = 17,100.00, Sv = 20,000.00 psi

fr1 = lesser of 1 or Sn/Sv = 0.855

fr2 = lesser of 1 or Sn/Sv = 0.855

A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))

= 0.5*(6.065*0.14995*1 + 2*0.28*0.14995*1*(1 - 0.855))= 0.4608 in2

Area available from FIG. UG-37.1

A1 = larger of the following= 0.2247 in2

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

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Nozzle #4 (N4)

= 6.065*(1*0.1875 - 1*0.14995) - 2*0.28*(1*0.1875 - 1*0.14995)*(1 - 0.855)= 0.2247 in2

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

= 2*(0.1875 + 0.28)*(1*0.1875 - 1*0.14995) - 2*0.28*(1*0.1875 - 1*0.14995)*(1 - 0.855)= 0.0321 in2

A2 = smaller of the following= 0.2061 in2

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

= 5*(0.28 - 2.290549E-02)*0.855*0.1875= 0.2061 in2

= 5*(tn - trn)*fr2*tn= 5*(0.28 - 2.290549E-02)*0.855*0.28= 0.3077 in2

A41 = Leg2*fr2

= 0.18752*0.855 =0.0301 in2

Area = A1 + A2 + A41

= 0.2247 + 0.2061 + 0.0301= 0.4609 in2

As Area >= A the reinforcement is adequate.

UW-16(d) Weld Check

tmin = lesser of 0.75 or tn or t = 0.1875 in

t1(min) or t2(min) = lesser of 0.25 or 0.7*tmin = 0.1312 in

t1(actual) = 0.7*Leg = 0.7*0.1875 = 0.1312 in

The weld size t1 is satisfactory.

t2(actual) = 0.1312 in

The weld size t2 is satisfactory.

t1 + t2 = 0.26245 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.

UG-45 Nozzle Neck Thickness Check

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Nozzle #4 (N4)

Wall thickness per UG-45(a): tr1 = 0.0229 in

Wall thickness per UG-45(b)(2): tr2 = 0.0170 in

Wall thickness per UG-16(b): tr3 = 0.0625 in

Standard wall pipe per UG-45(b)(4): tr4 = 0.2450 in

The greater of tr2 or tr3: tr5 = 0.0625 in

The lesser of tr4 or tr5: tr6 = 0.0625 in

Required per UG-45 is the larger of tr1 or tr6 = 0.0625 in

Available nozzle wall thickness new, tn = 0.8750*0.2800 = 0.2450 in

The nozzle neck thickness is adequate.

External Pressure, (Corroded & at 150.00°F) UG-28(c)

L/Do = 6.3074/6.6250 = 0.9521

Do/t = 6.6250/0.022905 = 289.2320

From table G: A = 0.000286

From table CS-2: B = 4106.4595

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

= 4*4106.4595/(3*(6.6250/0.022905))

= 18.9304 psi

Design thickness for external pressure Pa = 18.9304 psi

= t + Corrosion = 0.022905 + 0.0000 = 0.0229"

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Legs

Legs

Leg material: Leg Mat'lLeg description: 2x2x1/8 Equal Angle (Leg in)Number of legs: N = 4Overall length: 31.0000 inBase to girth seam length: 23.0000 inBolt circle: 42.0000 inAnchor bolt size: 0.75 inch series 8 threadedAnchor bolt material: Bolt MaterialAnchor bolts/leg: 1

Anchor bolt allowable stress: Sb = 20,000 psi

Anchor bolt corrosion allowance: 0.0000 inAnchor bolt hole clearance: 0.3750 inBase plate width: 6.0000 inBase plate length: 6.0000 in

Base plate thickness: 0.5000 in (0.0463 in required)

Base plate allowable stress: 36,000 psiFoundation allowable bearing stress: 750 psiEffective length coefficient: K = 1.2

Coefficient: Cm = 0.85

Leg yield stress: Fy = 36,000 psi

Leg elastic modulus: E = 29,600,000 psi

Leg to shell fillet weld: 0.2500 in (0.0009 in required)

Legs braced: No

Note: The support attachment point is assumed to be 1 in up from the cylinder circumferential seam.

LoadingForceattackangle °

Legposition °

Axialend load

lbf

Shearresisted

lbf

Axialfapsi

Bendingfbxpsi

Bendingfbypsi

RatioH1-1

RatioH1-2

GoverningCondition

Weightoperatingcorroded

Moment =

0

0 102.5 0.0 212 551 0 0.0375 0.0388

90 130.3 0.0 269 701 0 0.0478 0.0493

180 158.2 0.0 327 851 0 0.0582 0.0599

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Legs

83.6 lb-ft270 130.3 0.0 269 701 0 0.0478 0.0493

LoadingForceattackangle °

Legposition °

Axialend load

lbf

Shearresisted

lbf

Axialfapsi

Bendingfbxpsi

Bendingfbypsi

RatioH1-1

RatioH1-2

Weightempty

corroded

Moment =83.6 lb-ft

0

0 102.5 0.0 212 551 0 0.0375 0.0388

90 130.3 0.0 269 701 0 0.0478 0.0493

180 158.2 0.0 327 851 0 0.0582 0.0599

270 130.3 0.0 269 701 0 0.0478 0.0493

LoadingForceattackangle °

Legposition °

Axialend load

lbf

Shearresisted

lbf

Axialfapsi

Bendingfbxpsi

Bendingfbypsi

RatioH1-1

RatioH1-2

Weightvacuumcorroded

Moment =83.6 lb-ft

0

0 102.5 0.0 212 551 0 0.0375 0.0388

90 130.3 0.0 269 701 0 0.0478 0.0493

180 158.2 0.0 327 851 0 0.0582 0.0599

270 130.3 0.0 269 701 0 0.0478 0.0493

Leg Calculations (AISC manual ninth edition)

Axial end load, P1

P1 = W/N + 48*Mt/(N*D)

= 521.3592/ 4 + 48*83.62269/( 4*36)= 158.2140 lb

Allowable axial compressive stress, Fa (AISC chapter E)

Local buckling check (AISC 5-99)

Qs = 1.34 - 0.00447*(b/t)*Sqr(Fy)

= 1.34 - 0.00447*(2/0.125)*Sqr(36)= 0.91088

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Legs

Flexural-torsional buckling (AISC 5-317)

Shear center distance wo = 0.683772

ro2 = wo

2 + (Iz + Iw)/A

= 0.6837722 + (7.658909E-02 + 0.3034036)/0.484= 1.252653

Torsional constant J = 2.520833E-03Shear modulus G = 11,396.00 kips/in2

Fej = G*J / (A*ro2)

= 11,396.00*2.520833E-03 / (0.484*1.252653)= 47.38277

K*l/rw = 1.2*21/0.7917493 = 31.82826

Few = π2*E/(Kl/rw)2

= π2*29,600.00/(31.82826)2

= 288.3804

H = 1 - (wo2 / ro

2)

= 1 - (0.6837722 / 1.252653)= 0.6267569

Fe = ((Few + Fej)/(2*H))*(1 - Sqr(1 - (4*Few*Fej*H)/(Few + Fej)2))

= ((288.3804 + 47.38277)/(2*0.6267569))*(1 - Sqr(1 - (4*288.3804*47.38277*0.6267569)/(288.3804 + 47.38277)2))= 44.37123

Equivalent slenderness ratio

Kl/r = π*Sqr(E/Fe)

= π*Sqr(29,600.00/44.37123)= 81.14187

Cc = Sqr(2*π2*E/(Fy*Qs))

= Sqr(2*π2*29,600,000/(36,000.00*0.91088))= 133.4839

K*l/r= 1.2*21/0.3977963 = 63.349

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Legs

Fa = 1 * (1 - (Kl/r)2/(2*Cc2))*Fy / (5/3 + 3*(Kl/r)/(8*Cc)-(Kl/r)3/(8*Cc

3))

= 1 * (1 - (81.14187)2/(2*133.48392))*36,000.00 / (5/3 + 3*(81.14187)/(8*133.4839)-(81.14187)3/(8*133.48393))= 15,723.57 psi

Allowable axial compression and bending (AISC chapter H)

Note: r is divided by 1.35 - See AISC 6.1.4, pg. 5-314

F'ex = 1*12*π2*E/(23*(Kl/r)2)

= 1*12*π2*29,600,000/(23*(85.52116)2)= 20,840.00 psi

F'ey = 1*12*π2*E/(23*(Kl/r)2)

= 1*12*π2*29,600,000/(23*(42.96815)2)= 82,556.56 psi

Fb = 1*0.6*Fy*Qs (local buckling governs)

= 19,675.01 psi

Compressive axial stress

fa = P1/A

= 158.214/0.484= 326.8885 psi

Bending stresses

fbx = F*Cos(α)*L/(Ix/Cx) + P1*Ecc/(Ix/Cx)

= 0*Cos(0)*21/(7.658909E-02/0.6420397) + 158.214*0.642/(7.658909E-02/0.6420397)= 851.481 psi

fby= F*Sin(α)*L/(Iy/Cy)

= 0*Sin(0)*21/(0.3034036/1.4142)= 0 psi

AISC equation H1-1

H1-1 = fa/Fa + Cmx*fbx/((1 - fa/F'ex)*Fbx) + Cmy*fby/((1 - fa/F'

ey)*Fby)

= 326.8885/15,723.57 + 0.85*851.481/((1 - 326.8885/20,840.00)*19,675.01) + 0.85*0/((1 - 326.8885/82,556.56)*19,675.01)= 0.0581616

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Legs

AISC equation H1-2

H1-2 = fa/(0.6*1*Fy) + fbx/Fbx + fby/Fby

= 326.8885/(0.6*1*36,000.00) + 851.481/19,675.01 + 0/19,675.01= 5.989169E-02

4, 2x2x1/8 Equal Angle legs are adequate.

Anchor bolts - Weight operating corroded condition governs

Tensile loading per leg (1 bolt per leg)

R = 48*M/(N*BC) - W/N= 48*83.62269/(4*42) - 521.3592/4= -106.4476 lbf

There is no net uplift (R is negative).

0.75 inch series 8 threaded bolts are satisfactory.

Check the leg to vessel fillet weld, Bednar 10.3, Weight operating corroded governs

Note: continuous welding is assumed for all support leg fillet welds.

The following leg attachment weld analysis assumes the fillet weld is present on three sides (leg top closure plate is used).

Zw = (2*b*d + d2)/3

= (2*2.8284*10 + 102)/3= 52.18933

Jw = (b + 2*d)3/12 - d2*(b + d)2/(b + 2*d)

= (2.8284 + 2*10)3/12 - 102*(2.8284 + 10)2/(2.8284 + 2*10)= 270.5006

E = d2/(b + 2*d)= 102/(2.8284 + 2*10)= 4.380508

Governing weld load fx = Cos(0)*0 = 0 lbf

Governing weld load fy = Sin(0)*0 = 0 lbf

f1 = P1/Lweld

= 158.214/22.8284

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Legs

= 6.930579 lbf/in (VL direct shear)

f2= fy*Lleg*0.5*b/Jw

= 0*21*0.5*2.8284/270.5006= 0 lbf/in (VL torsion shear)

f3 = fy/Lweld

= 0/22.8284= 0 lbf/in (Vc direct shear)

f4 = fy*Lleg*E/Jw

= 0*21*4.380508/270.5006= 0 lbf/in (Vc torsion shear)

f5 = fx*Lleg/Zw

= 0*21/52.18933= 0 lbf/in (ML bending)

f6 = fx/Lweld

= 0/22.8284= 0 lbf/in (Direct outward radial shear)

f = Sqr((f1 + f2)2 + (f3 + f4)2 + (f5 + f6)2)

= Sqr((6.930579 + 0)2 + (0 + 0)2 + (0 + 0)2)= 6.930579 lbf/in (Resultant shear load)

Required leg to vessel fillet weld leg size (welded both sides + top)

tw = f / (0.707*0.55*Sa)

= 6.930579 / (0.707*0.55*20,000.00)= 0.0009 in

The 0.2500 in leg to vessel attachment fillet weld size is adequate.

Base plate thickness check, AISC 3-106

fp = P/(B*N)

= 154.232/(6*6)= 4.284222 psi

Required base plate thickness is the largest of the following: (0.0463 in)

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Legs

tb = Sqr(0.5*P/Sb)

= Sqr(0.5*154.232/36,000.00)= 0.0463 in

tb = 0.5*(N - d)*Sqr(3*fp/Sb)

= 0.5*(6 - 2)*Sqr(3*4.284222/36,000.00)= 0.0378 in

The base plate thickness is adequate.

Check the leg to vessel attachment stresses, WRC-107 (Weight operating corroded governs)

Applied Loads

Radial load: Pr = 0.00 lbf

Circumferential moment: Mc = 0.00 lbf-in

Circumferential shear: Vc = 0.00 lbf

Longitudinal moment: ML = 101.57 lbf-in

Longitudinal shear: VL = 158.21 lbf

Torsion moment: Mt = 0.00 lbf-in

Internal pressure: P = 100.000 psi

Mean shell radius: Rm = 17.9063 in

Local shell thickness: t = 0.1875 in

Shell yield stress: Sy = 35,700.00 psi

Maximum stresses due to the applied loads at the leg edge (includes pressure)

Rm/t =95.5

C1 = 1.4142, C2 = 5.6568 in

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 = 9,500.00 psi

Local longitudinal pressure stress = P*Ri/2t = 4,750.00 psi

Maximum combined stress (PL+Pb+Q) = 9,648.00 psi

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Legs

Allowable combined stress (PL+Pb+Q) = +-3*S = +-60,000.00 psi

The maximum combined stress (PL+Pb+Q) is within allowable limits.

Maximum local primary membrane stress (PL) = 9,532.00 psiAllowable local primary membrane (PL) = +-1.5*S = +-30,000.00 psi

The maximum local primary membrane stress (PL) is within allowable limits.

Stresses at the leg edge per WRC Bulletin 107

Figure value β Au Al Bu Bl Cu Cl Du Dl

3C* 4.0903 0.2338 0 0 0 0 0 0 0 0

4C* 11.0431 0.1895 0 0 0 0 0 0 0 0

1C 0.0674 0.1390 0 0 0 0 0 0 0 0

2C-1 0.0360 0.1390 0 0 0 0 0 0 0 0

3A* 3.8081 0.1254 0 0 0 0 0 0 0 0

1A 0.0703 0.1463 0 0 0 0 0 0 0 0

3B* 7.3137 0.1990 -32 -32 32 32 0 0 0 0

1B-1 0.0194 0.1621 -116 116 116 -116 0 0 0 0

Pressure stress* 9,500 9,500 9,500 9,500 9,500 9,500 9,500 9,500

Total circumferential stress 9,352 9,584 9,648 9,416 9,500 9,500 9,500 9,500

Primary membrane circumferential stress* 9,468 9,468 9,532 9,532 9,500 9,500 9,500 9,500

3C* 5.6148 0.1895 0 0 0 0 0 0 0 0

4C* 9.6078 0.2338 0 0 0 0 0 0 0 0

1C-1 0.0432 0.1974 0 0 0 0 0 0 0 0

2C 0.0342 0.1974 0 0 0 0 0 0 0 0

4A* 7.0586 0.1254 0 0 0 0 0 0 0 0

2A 0.0281 0.1837 0 0 0 0 0 0 0 0

4B* 3.4274 0.1990 -30 -30 30 30 0 0 0 0

2B-1 0.0177 0.2242 -76 76 76 -76 0 0 0 0

Pressure stress* 4,750 4,750 4,750 4,750 4,750 4,750 4,750 4,750

Total longitudinal stress 4,644 4,796 4,856 4,704 4,750 4,750 4,750 4,750

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Legs

Primary membrane longitudinal stress* 4,720 4,720 4,780 4,780 4,750 4,750 4,750 4,750

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 -37 -37 37 37

Total Shear stress 0 0 0 0 -37 -37 37 37

Combined stress (PL+Pb+Q) 9,352 9,584 9,648 9,416 9,500 9,500 9,500 9,500

Note: * denotes primary stress.

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