PRESSURE VESSEL DESIGN CALCULATION IN COMPRESS CODEWARE

NATCO-AL-RUSHAID MIDDLE EAST LTDJubail Industrial City 31961

COMPRESS Pressure Vessel Design Calculations

Item: HYDROMATION FILTER MODEL FDB-170PVessel No: MPT-V414A/B/C/D/E/F/G/HCustomer: CAIRN ENERGY (INDIA) PTY. LTDContract: Designer: SA Duazo

Date: Sunday, November 25, 2012Location: RAJASTAN NORTHERN AREA DEVELOPMENT

Purchaser: CAIRN ENERGY (INDIA) PTY. LTDVessel Name: HYDROMATION FILTER MODEL FDB-170P

Service: WATERTag Number: MPT-V414 A/B/C/D/E/F/G/H

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

Table Of ContentsEngineering Notes1. Settings Summary2. Revision History3. Pressure Summary4. Nozzle Summary5. Thickness Summary6. Nozzle Schedule7. Weight Summary8. Hydrostatic Test9. Vertical Load10. Wind Code11. Seismic Code12. Liquid Level bounded by RH Dish13. Straight Flange on LH Dish14. Manway Nozzle (M1)15. Shell-116. Shell-217. Saddle Support18. M1 (Manway Flange-Appendix-2)19. M1 BLRF COVER20. Media Fill Port (N4)21. Media Fill Port (N4) FEA Results22. Mixer Nozzle (A1)23. Mixer Nozzle (A1) FEA Results24. A1 Mixer Nozzle Cover25. A1 Mixer Nozzle BLRF26. Sight Glass (SG)27. ACCESS (M2)28. ACCESS (M2) FEA Results29. Drain (N8)30. Mixer Mounting (N9)31. Media Dump (N5)32. Vent (N7)33. Straight Flange on RH Dish34. Filtrate Outlet (N2)35. Filtrate Outlet (N2) FEA Results36. RH Dish37. LH Dish38. Lifting Lug-139.

1/430 HYDROMATION FILTER MODEL FDB-170P 5/25/2013

NA035-731-001 AS-BUILT

Lifting Lug-240. Lifting Lug-341. Lifting Lug-442. Support 143. Support 244. Support 345. Support 446. Support 547. Support 648. Support 749. Support 850.



sduazo

Text Box

51. Mixer Mounting (N9): FEA Results

Engineering Notes

1.) Design Code : ASME Section VIII Div. 1, Ed. 2010, Add 20112.) Process Fluid : Water3.) Operating Pressure : 689 Kpag. (Max)4.) Operating Temp. : 90 Degree C (Max.)5.) Design Pressure : FV / 1685 Kpag6.) Design temperature : -5 /110 Degree C.7.) MDMT : -5 Degree C8.) Corrosion Allowance: 3.2 mm9.) U Stamp : Yes10.) Radiography : Full11.) Joint Efficiency : 1.0 / 1.0 (Head / Shell).12.) MAWP : 1685.00 Kpa @110 Degree C.



Settings Summary

COMPRESS 2012 Build 7200

Units: SI

Datum Line Location: -50.00 mm from right seam

Design

ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric

Design or Rating: Get Thickness from PressureMinimum thickness: 1.5 mm per UG-16(b)Design for cold shut down only: NoDesign for lethal service (full radiography required): No

Design nozzles for: Design P, find nozzle MAWP andMAP

Corrosion weight loss: 100% of theoretical lossUG-23 Stress Increase: 1.20Skirt/legs stress increase: 1.0Minimum nozzle projection: 25 mmJuncture calculations for α > 30 only: NoPreheat P-No 1 Materials > 1.25&#34 and <= 1.50" thick: NoUG-37(a) shell tr calculation considers longitudinal stress: NoPipe under-tolerance is not applied to cylindrical shell thicknesses.Pipe under-tolerance is not applied to nozzle wall thicknesses.Pipe under-tolerance is not applied to pipe cap thicknesses.Butt welds are tapered per Figure UCS-66.3(a).

Hydro/Pneumatic Test

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

Required Marking - UG-116

UG-116(e) Radiography: RT1UG-116(f) Postweld heat treatment: None

Code Cases\Interpretations

Use Code Case 2547: NoApply interpretation VIII-1-83-66: YesApply interpretation VIII-1-86-175: Yes



Apply interpretation VIII-1-83-115: YesApply interpretation VIII-1-01-37: YesNo UCS-66.1 MDMT reduction: YesNo UCS-68(c) MDMT reduction: NoDisallow UG-20(f) exemptions: No

UG-22 Loadings

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



Revision History

No. Date Operator Notes

0 12/11/2012 sduazo ASME Section VIII Division 1 (Hydromation Filter Model FDB-170P) Issued forApproval

1 12/22/2012 SA Duazo Comments Incorporated, Re-Issued for Approval

2 2/12/2013 sduazo Client's Comments Incorporated & Issued For Final

3 3/23/2013 sduazo Revised as per nozzle loading Comments & Issued for Approval

4 5/25/2013 sduazo As-Built



Pressure Summary

Pressure Summary for Chamber bounded by RH Dish and LH Dish

IdentifierP

Design( kPa)

TDesign( °C)

MAWP( kPa)

MAP( kPa)

MAEP( kPa)

Te

external( °C)

MDMT( °C)

MDMTExemption

ImpactTested

LH Dish 1,685 110 1,688.71 1,966.47 560.27 50 -32.38 Note 1 No

Straight Flange on LH Dish 1,685 110 1,963.04 2,241.47 770.51 50 -32.38 Note 2 No

Shell-1 1,685 110 1,814.92 2,093.4 664.3 50 -32.38 Note 2 No

Shell-2 1,685 110 1,814.92 2,093.4 664.3 50 -32.38 Note 2 No

Straight Flange on RH Dish 1,685 110 1,963.04 2,241.47 770.51 50 -32.38 Note 2 No

RH Dish 1,685 110 1,688.71 1,966.47 560.27 50 -32.38 Note 3 No

Support 2 1,685 110 1,685 N/A N/A N/A N/A N/A N/A








Saddle Support 1,685 110 1,685 N/A N/A N/A N/A N/A N/A

Mixer Nozzle (A1) 1,685 110 1,693.53 1,848.51 664.3 50 -32.38 Nozzle Note 4 No

Pad Note 5 No

A1 Mixer Nozzle Cover 1,685 110 2,525.56 2,525.56 6,195.29 50 -19 Note 6 No

A1 Mixer Nozzle Cover - Flange Hub 1,685 110 6,137.89 7,040.82 3,525.13 50 -19 Note 7 No

A1 Mixer Nozzle BLRF 1,685 110 3,332.41 3,556.39 3,692.91 50 -29 Note 8 No

Manway Nozzle (M1) 1,685 110 1,685 2,183.87 560.26 50 -32.38 Nozzle Note 4 No

Pad Note 5 No

M1 (Manway Flange-Appendix-2) 1,685 110 3,055.19 3,432.65 8,847.88 50 -29 Note 9 No

M1 (Manway Flange-Appendix-2) - Flange Hub 1,685 110 5,820.92 7,040.82 3,355.73 50 -29 Note 10 No

M1 BLRF COVER 1,685 110 2,667.73 2,928.89 3,920.62 50 -29 Note 11 No

ACCESS (M2) 1,685 110 1,685.51 1,886.61 664.3 50 -17.38 Nozzle Note 12 No

Pad Note 5 No

Filtrate Outlet (N2) 1,685 110 1,692.38 1,925.07 560.26 50 -29 Nozzle Note 13 No

Pad Note 14 No

Media Fill Port (N4) 1,685 110 1,732 1,925.07 664.3 50 -17.38 Nozzle Note 12 No

Pad Note 5 No

Media Dump (N5) 1,685 110 1,700.86 1,925.07 664.3 50 -29 Nozzle Note 15 No

Pad Note 5 No

Vent (N7) 1,685 110 1,732 1,925.07 3,692.89 50 -29 Note 16 No

Drain (N8) 1,685 110 1,692.12 1,925.07 664.3 50 -29 Nozzle Note 15 No



Pad Note 5 No

Mixer Mounting (N9) 1,685 110 1,732 1,925.07 2,151.19 50 -15.57 Note 17 No

Sight Glass (SG) 1,685 110 1,832.86 2,093.36 664.3 50 -32.38 Note 4 No

Chamber design MDMT is -5 °CChamber rated MDMT is -15.57 °C @ 1,685 kPa

Chamber MAWP hot & corroded is 1,685 kPa @ 110 °C

Chamber MAP cold & new is 1,848.51 kPa @ 40 °C

Chamber MAEP is 560.26 kPa @ 50 °CVacuum 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-66M Curve D = -32.38 °C UCS-66 governing thickness = 28 mm

3. Straight Flange governs MDMT

4. Nozzle impact test exemption temperature from Fig UCS-66M Curve D = -32.38 °C UCS-66 governing thickness = 28 mm.

5. Pad impact test exemption temperature from Fig UCS-66M Curve D = -32.38 °C UCS-66 governing thickness = 28 mm.

6.UCS-66(b)(1)(b) has been applied.Flange impact test exemption temperature from Fig UCS-66M Curve C = -19 °CUCS-66 governing thickness = 25.4 mm

Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C

7. Material impact test exemption temperature from Fig UCS-66M Curve C = -19 °C UCS-66 governing thickness = 25.4 mm

8. Bolted cover is impact test exempt per UG-20(f) UCS-66 governing thickness = 25 mm.

9.UCS-66(b)(1)(b) has been applied.Flange is impact test exempt per UG-20(f)UCS-66 governing thickness = 19.05 mm

Bolts rated MDMT per Fig UCS-66 note (c) = -48 °C

10. Material is impact test exempt per UG-20(f) UCS-66 governing thickness = 19.05 mm

11. Bolted cover is impact test exempt per UG-20(f) UCS-66 governing thickness = 19.08 mm.

12. Nozzle impact test exemption temperature from Fig UCS-66M Curve C = -17.38 °C UCS-66 governing thickness = 28 mm.

13. Nozzle is impact test exempt per UG-20(f) UCS-66 governing thickness = 15.09 mm.

14. Pad impact test exemption temperature from Fig UCS-66M Curve D = -34.13 °C UCS-66 governing thickness = 26.1 mm.

15. Nozzle is impact test exempt per UG-20(f) UCS-66 governing thickness = 11.13 mm.

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

17. Nozzle impact test exemption temperature from Fig UCS-66M Curve C = -15.57 °C UCS-66 governing thickness = 30.96 mm.

Design notes are available on the Settings Summary page.



Nozzle Summary

Nozzlemark

OD(mm)

tn(mm)

Req tn(mm)

A1? A2?Shell Reinforcement

Pad Corr(mm)

Aa/A

r(%)Nom t(mm)

Design t(mm)

User t(mm)

Width(mm)

tpad(mm)

A1 1,016 28 11.53 Yes Yes 28 24.7 285 28 3.2 100.0

M1 762 28 11.53 Yes Yes 26.1* 26.09 269.07 28 3.2 100.0

M2 457.2 29.36 11.53 Yes Yes 28 25.21 200 28 3.2 100.0

N2 273.05 15.09 11.31 Yes Yes 26.1* 25.55 95 28 3.2 104.2

N4 273.05 28.58 11.31 Yes Yes 28 25.73 86 28 3.2 143.5

N5 114.3 11.13 8.47 Yes Yes 28 25.73 50 28 3.2 124.0

N7 60.32 8.74 6.62 Yes Yes 100* N/A N/A N/A 3.2 Exempt

N8 88.9 11.13 8 Yes Yes 28 26.35 51 28 3.2 138.1

N9 406.4 30.96 11.53 Yes Yes 100* 77.08 N/A N/A 3.2 100.0

SG 250.83 44.9 11.31 Yes Yes 28 28 N/A N/A 3.2 125.8

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



Thickness Summary

ComponentIdentifier

Material Diameter(mm)

Length(mm)

Nominal t(mm)

Design t(mm)

Total Corrosion(mm)

JointE

Load

LH Dish SA-516 70 3,658 ID 940.6 26.1* 26.05 3.2 1.00 Internal

Straight Flange on LH Dish SA-516 70 3,658 ID 50 30 26.25 3.2 1.00 Internal

Shell-1 SA-516 70 3,658 ID 440 28 26.25 3.2 1.00 Internal

Shell-2 SA-516 70 3,658 ID 2,460 28 26.25 3.2 1.00 Internal

Straight Flange on RH Dish SA-516 70 3,658 ID 50 30 26.25 3.2 1.00 Internal

RH Dish SA-516 70 3,658 ID 940.6 26.1* 26.05 3.2 1.00 Internal

M1 BLRF COVER SA-105 985 OD 76.3 76.3* 61.43 3.2 1.00 Internal

A1 Mixer Nozzle BLRF SA-105 1,175 OD 100 100* 72.03 3.2 1.00 Internal

Nominal t: Vessel wall nominal thickness

Design t: Required vessel thickness due to governing loading + corrosion

Joint E: Longitudinal seam joint efficiency

* Head minimum thickness after forming

Load

internal: Circumferential stress due to internal pressure governs

external: External pressure governs

Wind: Combined longitudinal stress of pressure + weight + wind governs

Seismic: Combined longitudinal stress of pressure + weight + seismic governs



Nozzle Schedule

Nozzlemark

Service SizeMaterials

Nozzle Impact Norm FineGrain Pad Impact Norm Fine

Grain Flange

A1 Mixer Nozzle 960.00 IDx28.00 SA-516 70 No Yes Yes SA-51670 No Yes Yes App 2 Weld Neck

Integral SA-105

M1 ManwayNozzle 706.00 IDx28.00 SA-516 70 No Yes No SA-516

70 No Yes No App 2 Weld NeckIntegral SA-105

M2 ACCESS NPS 18 Sch 100DN 450

SA-106 BSmls. Pipe No Yes Yes SA-516

70 No Yes Yes WN A105 Class 150

N2 Filtrate Outlet NPS 10 Sch 80 DN250

SA-106 BSmls. Pipe No Yes No SA-516

70 No Yes No WN A105 Class 150

N4 Media FillPort

NPS 10 Sch 160DN 250

SA-106 BSmls. Pipe No Yes Yes SA-516

70 No Yes Yes WN A105 Class 150

N5 Media Dump NPS 4 Sch 120 DN100



N7 Vent NPS 2 Sch 160 DN50

SA-106 BSmls. Pipe No Yes Yes N/A N/A N/A N/A WN A105 Class 150

N8 Drain NPS 3 Sch 160 DN80



N9 MixerMounting

NPS 16 Sch 120DN 400

SA-106 BSmls. Pipe No Yes Yes N/A N/A N/A N/A SO A105 Class 150

SG Sight Glass 161.03 IDx44.90 SA-516 70 No Yes No N/A N/A N/A N/A N/A



Weight Summary

ComponentWeight ( kg) Contributed by Vessel Elements Surface

Aream2Metal

New*Metal

Corroded* Insulation InsulationSupports Lining Piping

+ LiquidOperating Liquid Test Liquid

New Corroded New CorrodedLH Dish 3,250.6 2,860.4 0 0 0 0 7,012.8 7,061.2 7,069.1 7,118.4 16.8

Shell-1 1,117.5 990.6 0 0 0 0 4,620.3 4,636.4 4,620.3 4,636.4 5.13

Shell-2 6,006.7 5,324.9 0 0 0 0 25,945.2 26,039.1 26,069 26,165.6 27.6

RH Dish 3,331.9 2,931.7 0 0 0 0 6,940.2 6,987.7 6,940.1 6,987.6 17.2

Saddle Support 2,648.1 2,648.1 0 0 0 0 0 0 0 0 18.38

TOTAL: 16,354.8 14,755.7 0 0 0 0 44,518.4 44,724.5 44,698.6 44,908.1 85.11

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

Component

Weight ( kg) Contributed by Attachments SurfaceAream2Body Flanges Nozzles &

Flanges PackedBeds Trays Tray

SupportsRings &

ClipsVerticalLoads

New Corroded New Corroded

LH Dish 0 0 1,067.9 1,019.1 0 0 0 0 0 2.28

Shell-1 0 0 0 0 0 0 0 270.6 0 0.97

Shell-2 0 0 2,356.1 2,269.8 0 0 0 270.6 15,000* 5.89

RH Dish 0 0 87.2 78.9 0 0 0 0 0 0.46

TOTAL: 0 0 3,407.3 3,240.1 0 0 0 541.1 15,000* 10.11

* This number includes vertical loads which are not present in all conditions.

Vessel operating weight, Corroded: 73,256 kgVessel operating weight, New: 74,813 kgVessel empty weight, Corroded: 18,531 kgVessel empty weight, New: 20,295 kgVessel test weight, New: 74,984 kgVessel test weight, Corroded: 73,430 kgVessel surface area: 95.35 m2

Vessel center of gravity location - from datum - lift condition

Vessel Lift Weight, New: 20,295 kgCenter of Gravity: 1,602.62 mm

Vessel Capacity

Vessel Capacity** (New): 44,343 litersVessel Capacity** (Corroded): 44,543 liters**The vessel capacity does not include volume of nozzle, piping or other attachments.



Hydrostatic Test

Shop test pressure determination for Chamber bounded by RH Dish and LH Dish based on MAWP perUG-99(b)

Shop hydrostatic test gauge pressure is 2,190.5 kPa at 40 °C (the chamber MAWP = 1,685 kPa)

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

IdentifierLocal testpressure

kPa

Test liquidstaticheadkPa

UG-99(b)stressratio

UG-99(b)pressure

factor

Stressduring

testMPa

Allowabletest stress

MPa

Stressexcessive?

LH Dish (1) 2,231.82 41.32 1 1.30 140.759 235.8 No

Straight Flange on LH Dish 2,231.82 41.32 1 1.30 137.18 235.8 No

Shell-1 2,231.82 41.32 1 1.30 146.899 235.8 No

Shell-2 2,231.82 41.32 1 1.30 146.899 235.8 No

Straight Flange on RH Dish 2,231.82 41.32 1 1.30 137.18 235.8 No

RH Dish 2,231.82 41.32 1 1.30 140.759 235.8 No

M1 (ManwayFlange-Appendix-2) 2,214.41 23.91 1 1.30 178.048 334.8 No

M1 BLRF COVER 2,214.5 24 1 1.30 104.34 334.8 No

A1 Mixer Nozzle Cover 2,195.7 5.2 1 1.30 159.602 334.8 No

A1 Mixer Nozzle BLRF 2,193.93 3.43 1 1.30 85.132 334.8 No

ACCESS (M2) 2,230.09 39.59 1 1.30 94.46 351 No

Drain (N8) 2,233.81 43.31 1 1.30 110.232 351 No

Filtrate Outlet (N2) 2,229.34 38.84 1 1.30 135.696 351 No

Manway Nozzle (M1) 2,214.41 23.91 1 1.30 128.81 351 No

Media Dump (N5) 2,225.52 35.02 1 1.30 119.054 351 No

Media Fill Port (N4) 2,197.14 6.64 1 1.30 100.402 351 No

Mixer Mounting (N9) 2,192.95 2.45 1 1.30 NI NI NI

Mixer Nozzle (A1) 2,195.7 5.2 1 1.30 182.149 351 No

Sight Glass (SG) 2,214.69 24.19 1 1.30 144.667 351 No

Vent (N7) 2,192.95 2.45 1 1.30 NI NI NI

Notes:(1) LH Dish limits the UG-99(b) stress ratio.(2) PL stresses at nozzle openings have been estimated using the method described in PVP-Vol. 399, pages77-82.(3) NI indicates that test stress was not investigated.(4) 1.5*0.9*Sy used as the basis for the maximum local primary membrane stress at the nozzle intersection PL.(5) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-mostflange.



The field test condition has not been investigated for the Chamber bounded by RH Dish and LH Dish.

The test temperature of 40 °C is warmer than the minimum recommended temperature of 1.43 °C so thebrittle fracture provision of UG-99(h) has been met.



Vertical Load

Load Orientation Vertical LoadDistance above datum 1,500 mmDirection angle: 0.00 degreesMagnitude of force: 15,000 kg

Present when operating: YesIncluded in vessel lift weight: NoPresent when vessel is empty: NoPresent during hydrotest: Yes



Wind Code

Building Code: ASCE 7-10Elevation of base above grade: 32.8084 ft (10.0000 m)Increase effective outer diameter by: 5.9055 ft (1.8000 m)Wind Force Coefficient Cf: 0.5000Risk Category (Table 1.5-1): IBasic Wind Speed:, V: 105.1360 mph (169.2000 km/h)Exposure category: DWind Directionality Factor, Kd: 1.0000Topographic Factor, Kzt: 1.0000Enforce minimum design load of 0.77 kPa per ASCE 29.8: Yes

Wind Pressure (WP) Calculations

Kz = 2.01 * (Z/zg)2/α

= 2.01 * (46.0105 / 213)0.1739

= 1.2520

qz = 0.613 * Kz * Kzt * Kd * V2 / 1000= 0.613 * 1.2520 * 1.0000 * 1.0000 * 47.00002 / 1000= 1.6962 kPa

qz = 0.6 * max ( 1.6962, 0.7661 )= 1.0177 kPa

Note: The 0.6 factor is the wind load combination factor from Section 2.4.1.

Table Lookup Values

α = 11.5000, zg = 213 m [Table 26.9-1, page 256]

Shear calculations are reported in the saddle report.



Seismic Code

Seismic calculations are reported in the saddle report.



Liquid Level bounded by RH Dish

Location from Center Line 2,038mm

Operating Liquid Specific Gravity 1



Straight Flange on LH Dish


Component: Straight FlangeMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 19)Material impact test exemption temperature from Fig UCS-66M Curve D = -32.38 °CUCS-66 governing thickness = 28 mm

Internal design pressure: P = 1,685 kPa @ 110 °CExternal design pressure: Pe = 103.42 kPa @ 50 °C

Static liquid head:

Ps = 37.92 kPa (SG = 1, Hs = 3,870.2mm,Operating head)

Pth = 41.32 kPa (SG = 1, Hs = 4,217 mm,Horizontal test head)

Corrosion allowance Inner C = 3.2 mm Outer C = 0 mm

Design MDMT = -5 °C No impact test performedRated MDMT = -32.38 °C Material is normalized

Material is not produced to Fine Grain PracticePWHT is not performed

Radiography: Longitudinal joint - Seamless No RTCircumferential joint - Full UW-11(a) Type 1

Estimated weight New = 136.1 kg corr = 121.7 kgCapacity New = 525.47 liters corr = 527.31 liters

ID = 3,658 mmLengthLc

= 50 mm

t = 30 mm

Design thickness, (at 110 °C) UG-27(c)(1)

t = P*R / (S*E - 0.60*P) + Corrosion= 1,722.92*1,832.2 / (138,000*1.00 - 0.60*1,722.92) + 3.2= 26.25 mm

Maximum allowable working pressure, (at 110 °C) UG-27(c)(1)

P = S*E*t / (R + 0.60*t) - Ps= 138,000*1.00*26.8 / (1,832.2 + 0.60*26.8) - 37.92= 1,963.04 kPa



Maximum allowable pressure, (at 40 °C) UG-27(c)(1)

P = S*E*t / (R + 0.60*t)= 138,000*1.00*30 / (1,829 + 0.60*30)= 2,241.47 kPa

External Pressure, (Corroded & at 50 °C) UG-28(c)

L / Do = 3,611.8 / 3,718 = 0.9714Do / t = 3,718 / 11.78 = 315.6646From table G: A = 0.000247From table CS-2Metric: B = 24.4848 MPa

Pa = 4*B / (3*(Do / t))= 4*24,484.83 / (3*(3,718 / 11.78))= 103.42 kPa

Design thickness for external pressure Pa = 103.42 kPa

ta = t + Corrosion = 11.78 + 3.2 = 14.98mm

Maximum Allowable External Pressure, (Corroded & at 50 °C) UG-28(c)


Pa = 4*B / (3*(Do / t))= 4*80,171.92 / (3*(3,718 / 26.8))= 770.51 kPa

% Extreme fiber elongation - UCS-79(d)

EFE = (50*t / Rf)*(1 - Rf / Ro)= (50*30 / 1,844)*(1 - 1,844 / ∞)= 0.8134%

The extreme fiber elongation does not exceed 5%.

Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2Metric)A = 0.125 / (Ro / t)

= 0.125 / (1,859 / 26.8)= 0.001802

B = 100.03 MPa



S = 138 / 1.00 = 138 MPa

ScHC = min(B, S) = 100.03 MPa

Allowable Compressive Stress, Hot and New- ScHN, (table CS-2Metric)A = 0.125 / (Ro / t)

= 0.125 / (1,859 / 30)= 0.002017

B = 103.18 MPa

S = 138 / 1.00 = 138 MPa

ScHN = min(B, S) = 103.18 MPa

Allowable Compressive Stress, Cold and New- ScCN, (table CS-2Metric)A = 0.125 / (Ro / t)

= 0.125 / (1,859 / 30)= 0.002017

B = 103.18 MPa

S = 138 / 1.00 = 138 MPa

ScCN = min(B, S) = 103.18 MPa

Allowable Compressive Stress, Cold and Corroded- ScCC, (tableCS-2 Metric)A = 0.125 / (Ro / t)

= 0.125 / (1,859 / 26.8)= 0.001802

B = 100.03 MPa

S = 138 / 1.00 = 138 MPa

ScCC = min(B, S) = 100.03 MPa

Allowable Compressive Stress, Vacuum and Corroded- ScVC, (tableCS-2 Metric)A = 0.125 / (Ro / t)

= 0.125 / (1,859 / 26.8)= 0.001802

B = 100.03 MPa

S = 138 / 1.00 = 138 MPa

ScVC = min(B, S) = 100.03 MPa



Manway Nozzle (M1)


tw(lower) = 26.1 mmLeg41 = 22 mmtw(upper) = 28 mmLeg42 = 22 mmDp = 1,322 mmte = 28 mm

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

Located on: LH DishLiquid static head included: 17.0259 kPaNozzle material specification: SA-516 70 (II-D Metric p. 18, ln. 19) (normalized)Nozzle longitudinal joint efficiency: 1Pad material specification: SA-516 70 (II-D Metric p. 18, ln. 19) (normalized)Pad diameter: 1,322 mmNozzle orientation: 67.5°Calculated as hillside: YesLocal vessel minimum thickness: 26.1 mmEnd of nozzle to datum line: 4,208.8 mmNozzle inside diameter, new: 706 mmNozzle nominal wall thickness: 28 mmNozzle corrosion allowance: 3.2 mmOpening chord length: 733.26 mmProjection available outside vessel, Lpr: 214.48 mmProjection available outside vessel to flange face, Lf: 290.78 mmDistance to head center, R: 785 mmPad is split: YesPad butt welds tested to confirm full penetration: YesPad joint efficiency: 1



Reinforcement Calculations for Internal Pressure

Local stresses at the pad edge per WRC-107 govern the MAWP of this nozzle.

UG-37 Area Calculation Summary (cm2)For P = 1,702.03 kPa @ 110 °C

The opening is adequately reinforced

UG-45Nozzle WallThicknessSummary

(mm)The nozzle

passes UG-45

Arequired

Aavailable A1 A2 A3 A5

Awelds treq tmin

149.0463 202.5486 18.8664 23.3258 -- 150.6764 9.68 11.53 28

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

Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

1,814,094 2,534,814 5,863,349 545,428 8,002,198 2,691,555 5,888,285

UW-16 Weld Sizing Summary

Weld description Required weldsize (mm)

Actual weldsize (mm) Status

Nozzle to pad fillet (Leg41) 6 15.4 weld size isadequate

Pad to shell fillet (Leg42) 9.5 15.4 weld size isadequate

Nozzle to pad groove (Upper) 13.3 28 weld size isadequate

Calculations for internal pressure 1,702.03 kPa @ 110 °C

Nozzle impact test exemption temperature from Fig UCS-66M Curve D = -32.38 °C.

Pad impact test exemption temperature from Fig UCS-66M Curve D = -32.38 °C.

Nozzle UCS-66 governing thk: 28 mmNozzle rated MDMT: -32.38 °CPad UCS-66 governing thickness: 28 mmPad rated MDMT: -32.38 °CParallel Limit of reinforcement per UG-40

LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(733.26, 366.63 + (28 - 3.2) + (26.1 - 3.2))= 733.26 mm



Outer Normal Limit of reinforcement per UG-40

LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(26.1 - 3.2), 2.5*(28 - 3.2) + 28)= 57.25 mm

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

trn = P*Rn / (Sn*E - 0.6*P)= 1,702.0259*356.2 / (138,000*1 - 0.6*1,702.0259)= 4.43 mm

Required thickness tr from UG-37(a)(c)

tr = P*K1*D / (2*S*E - 0.2*P)= 1,702.0259*0.8984*3,664.4 / (2*138,000*1 - 0.2*1,702.0259)= 20.33 mm

Area required per UG-37(c)

Allowable stresses: Sn = 138, Sv = 138, Sp = 138 MPa

fr1 = lesser of 1 or Sn / Sv = 1


fr3 = lesser of fr2 or Sp / Sv = 1

fr4 = lesser of 1 or Sp / Sv = 1

A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (733.26*20.33*1 + 2*24.8*20.33*1*(1 - 1)) / 100= 149.0463 cm2

Area available from FIG. UG-37.1

A1 = larger of the following= 18.8664 cm2

= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (733.26*(1*22.9 - 1*20.33) - 2*24.8*(1*22.9 - 1*20.33)*(1 - 1)) / 100= 18.8664 cm2

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



= (2*(22.9 + 24.8)*(1*22.9 - 1*20.33) - 2*24.8*(1*22.9 - 1*20.33)*(1 - 1)) / 100= 2.4548 cm2

A2 = smaller of the following= 23.3258 cm2

= 5*(tn - trn)*fr2*t= (5*(24.8 - 4.43)*1*22.9) / 100= 23.3258 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(24.8 - 4.43)*(2.5*24.8 + 28)*1) / 100= 36.6696 cm2

A41 = Leg2*fr3= (222*1) / 100= 4.84 cm2

A42 = Leg2*fr4= (222*1) / 100= 4.84 cm2

A5 = (Dp - d - 2*tn)*te*fr4*Ep= ((1,322 - 783.87)*28*1*1) / 100= 150.6764 cm2

Area = A1 + A2 + A41 + A42 + A5= 18.8664 + 23.3258 + 4.84 + 4.84 + 150.6764= 202.5486 cm2

As Area >= A the reinforcement is adequate.

UW-16(c)(2) Weld Check

Inner fillet: tmin = lesser of 19 mm or tn or te = 19 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mmtc(actual) = 0.7*Leg = 0.7*22 = 15.4 mm

Outer fillet: tmin = lesser of 19 mm or te or t = 19 mmtw(min) = 0.5*tmin = 9.5 mmtw(actual) = 0.7*Leg = 0.7*22 = 15.4 mm



UG-45 Nozzle Neck Thickness Check

Interpretation VIII-1-83-66 has been applied.

ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 1,702.0259*356.2 / (138,000*1 - 0.6*1,702.0259) + 3.2= 7.63 mm

ta UG-22 = 11.19 mm

ta = max[ ta UG-27 , ta UG-22 ]= max[ 7.63 , 11.19 ]= 11.19 mm

tb1 = 25.77 mm

tb1 = max[ tb1 , tb UG16 ]= max[ 25.77 , 4.7 ]= 25.77 mm

tb = min[ tb3 , tb1 ]= min[ 11.53 , 25.77 ]= 11.53 mm

tUG-45 = max[ ta , tb ]= max[ 11.19 , 11.53 ]= 11.53 mm

Available nozzle wall thickness new, tn = 28 mm

The nozzle neck thickness is adequate.

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

Groove weld in tension: 0.74*138 = 102.12 MPaNozzle wall in shear: 0.7*138 = 96.6 MPaInner fillet weld in shear: 0.49*138 = 67.62 MPaOuter fillet weld in shear: 0.49*138 = 67.62 MPaUpper groove weld in tension: 0.74*138 = 102.12 MPaStrength of welded joints:

(1) Inner fillet weld in shear(π / 2)*Nozzle OD*Leg*Si = (π / 2)*762*22*67.62 = 1,780,626.19 N



(2) Outer fillet weld in shear(π / 2)*Pad OD*Leg*So = (π / 2)*1,322*22*67.62 = 3,089,215.53 N

(3) Nozzle wall in shear(π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*737.2*24.8*96.6 = 2,774,133.15 N

(4) Groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*762*22.9*102.12 = 2,799,069.04 N

(6) Upper groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*762*28*102.12 = 3,422,502.29 N

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

W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv= (14,904.63 - 1,886.6414 + 2*24.8*1*(1*22.9 - 1*20.33))*138= 1,814,094.32 N

W1-1 = (A2 + A5 + A41 + A42)*Sv= (2,332.576 + 15,067.64 + 483.999 + 483.999)*138= 2,534,813.91 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (2,332.576 + 0 + 483.999 + 0 + 2*24.8*22.9*1)*138= 545,428.08 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv= (2,332.576 + 0 + 15,067.64 + 483.999 + 483.999 + 0 + 2*24.8*22.9*1)*138= 2,691,554.58 N



Load for path 1-1 lesser of W or W1-1 = 1,814,094.32 NPath 1-1 through (2) & (3) = 3,089,215.53 + 2,774,133.15 = 5,863,348.68 NPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).

Load for path 2-2 lesser of W or W2-2 = 545,428.08 NPath 2-2 through (1), (4), (6) = 1,780,626.19 + 2,799,069.04 + 3,422,502.29 = 8,002,197.52 NPath 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).

Load for path 3-3 lesser of W or W3-3 = 1,814,094.32 NPath 3-3 through (2), (4) = 3,089,215.53 + 2,799,069.04 = 5,888,284.57 NPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).

Applied Loads

Radial load: Pr = -1,860,446.61NCircumferential moment: M1 = 7.8 N-mCircumferential shear: V2 = 0 NLongitudinal moment: M2 = 7.8 N-mLongitudinal shear: V1 = 0 NTorsion moment: Mt = 0 N-mInternal pressure: P = 1,702.03 kPaHead yield stress: Sy = 237 MPa



Maximum stresses due to the applied loads at the pad edge (includes pressure)

Mean dish radius Rm = 3,323.31 mm

U = ro / Sqr(Rm*t) = 2.356 > 2.2 so let U = 2.2Pressure stress intensity factor, I = 1 (user defined)

Local pressure stress = I*P*Ri / (2*t) =123.078 MPa

Maximum combined stress (PL+P

b+Q) = 414 MPa

Allowable combined stress (PL+P

b+Q ) = +-3*S = +-414 MPa

The maximum combined stress (PL+P

b+Q) is within allowable limits.

Maximum local primary membrane stress (PL) = 201.13 MPa

Allowable local primary membrane stress (PL) = +-1.5*S = +-207 MPa

The local maximum primary membrane stress (PL) is within allowable limits.

Stresses at the pad edge per WRC Bulletin 107

Figure value Au Al Bu Bl Cu Cl Du DlSR-2* 0.022 78.049 78.049 78.049 78.049 78.049 78.049 78.049 78.049

SR-2 0.01 212.869 -212.869 212.869 -212.869 212.869 -212.869 212.869 -212.869

SR-3* 0.017 0 0 0 0 0 0 0 0

SR-3 0.0105 0 0 0 0 0 0 0 0

SR-3* 0.017 0 0 0 0 0 0 0 0

SR-3 0.0105 0 0 0 0 0 0 0 0

Pressure stress* 123.078 123.078 123.078 123.078 123.078 123.078 123.078 123.078

Total Ox stress 413.996 -11.742 413.996 -11.742 413.996 -11.742 413.996 -11.742

Membrane Oxstress* 201.127 201.127 201.127 201.127 201.127 201.127 201.127 201.127

SR-2* 0.0066 23.415 23.415 23.415 23.415 23.415 23.415 23.415 23.415

SR-2 0.003 63.859 -63.859 63.859 -63.859 63.859 -63.859 63.859 -63.859

SR-3* 0.005 0 0 0 0 0 0 0 0

SR-3 0.0032 0 0 0 0 0 0 0 0

SR-3* 0.005 0 0 0 0 0 0 0 0

SR-3 0.0032 0 0 0 0 0 0 0 0

Pressure stress* 123.078 123.078 123.078 123.078 123.078 123.078 123.078 123.078

Total Oy stress 210.352 82.634 210.352 82.634 210.352 82.634 210.352 82.634

Membrane Oystress* 146.493 146.493 146.493 146.493 146.493 146.493 146.493 146.493

Shear from Mt 0 0 0 0 0 0 0 0

Shear from V1 0 0 0 0 0 0 0 0

Shear from V2 0 0 0 0 0 0 0 0



Total Shear stress 0 0 0 0 0 0 0 0

Combined stress(PL+Pb+Q) 413.996 -94.375 413.996 -94.375 413.996 -94.375 413.996 -94.375

Notes: (1) * denotes primary stress.

(2) The nozzle is assumed to be a rigid (solid) attachment.



Maximum stresses due to the applied loads at the nozzle OD (includes pressure)


U = ro / Sqr(Rm*t) = 0.926Pressure stress intensity factor, I = 1 (user defined)



b+Q) = 342.04 MPa


b+Q ) = +-3*S = +-414 MPa






Stresses at the nozzle OD per WRC Bulletin 107

Figure value Au Al Bu Bl Cu Cl Du DlSR-2* 0.0721 51.773 51.773 51.773 51.773 51.773 51.773 51.773 51.773

SR-2 0.0388 167.177 -167.177 167.177 -167.177 167.177 -167.177 167.177 -167.177

SR-3* 0.0854 0 0 0 0 0 0 0 0

SR-3 0.0846 0 0 0 0 -0.007 0.007 0.007 -0.007

SR-3* 0.0854 0 0 0 0 0 0 0 0

SR-3 0.0846 -0.007 0.007 0.007 -0.007 0 0 0 0

Pressure stress* 123.078 123.078 123.078 123.078 123.078 123.078 123.078 123.078

Total Ox stress 342.021 7.681 342.035 7.667 342.021 7.681 342.035 7.667


SR-2* 0.0224 16.085 16.085 16.085 16.085 16.085 16.085 16.085 16.085

SR-2 0.0117 50.414 -50.414 50.414 -50.414 50.414 -50.414 50.414 -50.414

SR-3* 0.0257 0 0 0 0 0 0 0 0

SR-3 0.0255 0 0 0 0 0 0 0 0

SR-3* 0.0257 0 0 0 0 0 0 0 0

SR-3 0.0255 0 0 0 0 0 0 0 0

Pressure stress* 123.078 123.078 123.078 123.078 123.078 123.078 123.078 123.078

Total Oy stress 189.578 88.749 189.578 88.749 189.578 88.749 189.578 88.749


Shear from Mt 0 0 0 0 0 0 0 0

Shear from V1 0 0 0 0 0 0 0 0

Shear from V2 0 0 0 0 0 0 0 0




Combined stress(PL+Pb+Q) 342.021 88.749 342.035 88.749 342.021 88.749 342.035 88.749



Longitudinal stress in the nozzle wall due to internal pressure + external loads

σn (Pm) = P*Ri / (2*tn) - Pr / (π*(Ro2 - Ri

2)) + M*Ro / I= 1,702.03 / 1000*356.2 / (2*24.8) - -1,860,446.61 / (π*(3812 - 356.22)) + 11,025.2*381 / 3.9062E+09= 44.616 MPa

The average primary stress Pm (see Division 2 5.6.a.1) across the nozzle wall due to internal pressure +external loads is acceptable ( • S = 138 MPa)


EFE = (50*t / Rf)*(1 - Rf / Ro)= (50*28 / 367)*(1 - 367 / ∞)= 3.8147%




Reinforcement Calculations for MAP

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




(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

189.5967 189.6021 0.0645 29.1812 -- 150.6764 9.68 8.64 28


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

2,615,614 2,615,619 6,207,754 671,194 8,393,390 2,817,320 6,279,477








Parallel Limit of reinforcement per UG-40

LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(726.67, 363.34 + (28 - 0) + (26.1 - 0))= 726.67 mm


LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(26.1 - 0), 2.5*(28 - 0) + 28)= 65.25 mm




trn = P*Rn / (Sn*E - 0.6*P)= 2,183.868*353 / (138,000*1 - 0.6*2,183.868)= 5.64 mm

Required thickness tr from UG-37(a)(c)

tr = P*K1*D / (2*S*E - 0.2*P)= 2,183.868*0.9*3,658 / (2*138,000*1 - 0.2*2,183.868)= 26.09 mm







A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (726.67*26.09*1 + 2*28*26.09*1*(1 - 1)) / 100= 189.5967 cm2



= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (726.67*(1*26.1 - 1*26.09) - 2*28*(1*26.1 - 1*26.09)*(1 - 1)) / 100= 0.0645 cm2

= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(26.1 + 28)*(1*26.1 - 1*26.09) - 2*28*(1*26.1 - 1*26.09)*(1 - 1)) / 100= 0.0097 cm2




= 5*(tn - trn)*fr2*t= (5*(28 - 5.64)*1*26.1) / 100= 29.1812 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(28 - 5.64)*(2.5*28 + 28)*1) / 100= 43.8277 cm2

A41 = Leg2*fr3= (222*1) / 100= 4.84 cm2

A42 = Leg2*fr4= (222*1) / 100= 4.84 cm2

A5 = (Dp - d - 2*tn)*te*fr4*Ep= ((1,322 - 783.87)*28*1*1) / 100= 150.6764 cm2

Area = A1 + A2 + A41 + A42 + A5= 0.0645 + 29.1812 + 4.84 + 4.84 + 150.6764= 189.6021 cm2









ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 2,183.868*353 / (138,000*1 - 0.6*2,183.868) + 0= 5.64 mm

ta UG-22 = 8.64 mm


tb1 = 28.99 mm


tb = min[ tb3 , tb1 ]= min[ 8.33 , 28.99 ]= 8.33 mm






(1) Inner fillet weld in shear(π / 2)*Nozzle OD*Leg*Si = (π / 2)*762*22*67.62 = 1,780,626.19 N


(3) Nozzle wall in shear(π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*734*28*96.6 = 3,118,538.83 N



(4) Groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*762*26.1*102.12 = 3,190,261.06 N

(6) Upper groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*762*28*102.12 = 3,422,502.29 N


W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv= (18,959.67 - 6.4516 + 2*28*1*(1*26.1 - 1*26.09))*138= 2,615,613.6 N

W1-1 = (A2 + A5 + A41 + A42)*Sv= (2,918.1232 + 15,067.64 + 483.999 + 483.999)*138= 2,615,619.43 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (2,918.1232 + 0 + 483.999 + 0 + 2*28*26.1*1)*138= 671,193.77 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv= (2,918.1232 + 0 + 15,067.64 + 483.999 + 483.999 + 0 + 2*28*26.1*1)*138= 2,817,320.26 N



Load for path 1-1 lesser of W or W1-1 = 2,615,613.6 NPath 1-1 through (2) & (3) = 3,089,215.53 + 3,118,538.83 = 6,207,754.36 NPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).



Reinforcement Calculations for External Pressure

UG-37 Area Calculation Summary (cm2)For Pe = 560.26 kPa @ 50 °C



(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

83.9536 184.1718 0.0019 23.8135 -- 150.6764 9.68 10.62 28

UG-41 Weld Failure Path Analysis Summary

Weld strength calculations are not required for externalpressure







Calculations for external pressure 560.26 kPa @ 50 °C


LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(733.24, 366.62 + (28 - 3.2) + (26.1 - 3.2))= 733.24 mm




LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(26.1 - 3.2), 2.5*(28 - 3.2) + 28)= 57.25 mm

Nozzle required thickness per UG-28 trn = 4 mm

From UG-37(d)(1) required thickness tr = 22.9 mm

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






A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))= (0.5*(733.24*22.9*1 + 2*24.8*22.9*1*(1 - 1))) / 100= 83.9536 cm2




= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(22.9 + 24.8)*(1*22.9 - 1*22.9) - 2*24.8*(1*22.9 - 1*22.9)*(1 - 1)) / 100= 0 cm2


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



= (5*(24.8 - 4)*1*22.9) / 100= 23.8135 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(24.8 - 4)*(2.5*24.8 + 28)*1) / 100= 37.4361 cm2

A41 = Leg2*fr3= (222*1) / 100= 4.84 cm2

A42 = Leg2*fr4= (222*1) / 100= 4.84 cm2

A5 = (Dp - d - 2*tn)*te*fr4*Ep= ((1,322 - 783.87)*28*1*1) / 100= 150.6764 cm2

Area = A1 + A2 + A41 + A42 + A5= 0.0019 + 23.8135 + 4.84 + 4.84 + 150.6764= 184.1718 cm2







ta UG-28 = 8.87 mm



ta UG-22 = 8.87 mm


tb2 = 10.62 mm


tb = min[ tb3 , tb2 ]= min[ 11.53 , 10.62 ]= 10.62 mm





L / Do = 477.22 / 762 = 0.6263Do / t = 762 / 4 = 190.4329From table G: A = 0.000850From table CS-2Metric: B = 80.0193 MPa

Pa = 4*B / (3*(Do / t))= 4*80,019.34 / (3*(762 / 4))= 560.26 kPa


ta = t + Corrosion = 4 + 3.2 = 7.2mm



Shell-1


Component: CylinderMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 19)Material impact test exemption temperature from Fig UCS-66M Curve D = -32.38 °CUCS-66 governing thickness = 28 mm


Static liquid head:






Radiography: Longitudinal joint - Full UW-11(a) Type 1Left circumferential joint - Full UW-11(a) Type 1Right circumferential joint - Full UW-11(a) Type 1

Estimated weight New = 1,117.5 kg corr = 990.6 kgCapacity New = 4,624.13 liters corr = 4,640.33 liters


= 440 mm

t = 28 mm




P = S*E*t / (R + 0.60*t) - Ps= 138,000*1.00*24.8 / (1,832.2 + 0.60*24.8) - 37.92= 1,814.92 kPa




P = S*E*t / (R + 0.60*t)= 138,000*1.00*28 / (1,829 + 0.60*28)= 2,093.4 kPa



Pa = 4*B / (3*(Do / t))= 4*24,472.12 / (3*(3,714 / 11.77))= 103.42 kPa


ta = t + Corrosion = 11.77 + 3.2 = 14.97mm



Pa = 4*B / (3*(Do / t))= 4*74,614.68 / (3*(3,714 / 24.8))= 664.3 kPa


EFE = (50*t / Rf)*(1 - Rf / Ro)= (50*28 / 1,843)*(1 - 1,843 / ∞)= 0.7596%



= 0.125 / (1,857 / 24.8)= 0.001669

B = 97.91 MPa



S = 138 / 1.00 = 138 MPa



= 0.125 / (1,857 / 28)= 0.001885

B = 101.3 MPa

S = 138 / 1.00 = 138 MPa



= 0.125 / (1,857 / 28)= 0.001885

B = 101.3 MPa

S = 138 / 1.00 = 138 MPa



= 0.125 / (1,857 / 24.8)= 0.001669

B = 97.91 MPa

S = 138 / 1.00 = 138 MPa



= 0.125 / (1,857 / 24.8)= 0.001669

B = 97.91 MPa

S = 138 / 1.00 = 138 MPa




Shell-2


Component: CylinderMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 19)Material impact test exemption temperature from Fig UCS-66M Curve D = -32.38 °CUCS-66 governing thickness = 28 mm


Static liquid head:






Radiography: Longitudinal joint - Full UW-11(a) Type 1Left circumferential joint - Full UW-11(a) Type 1Right circumferential joint - Full UW-11(a) Type 1

Estimated weight New = 6,006.7 kg corr = 5,324.9 kgCapacity New = 25,853.09 liters corr = 25,943.64 liters


= 2,460 mm

t = 28 mm




P = S*E*t / (R + 0.60*t) - Ps= 138,000*1.00*24.8 / (1,832.2 + 0.60*24.8) - 37.92= 1,814.92 kPa




P = S*E*t / (R + 0.60*t)= 138,000*1.00*28 / (1,829 + 0.60*28)= 2,093.4 kPa



Pa = 4*B / (3*(Do / t))= 4*24,472.12 / (3*(3,714 / 11.77))= 103.42 kPa


ta = t + Corrosion = 11.77 + 3.2 = 14.97mm



Pa = 4*B / (3*(Do / t))= 4*74,614.68 / (3*(3,714 / 24.8))= 664.3 kPa


EFE = (50*t / Rf)*(1 - Rf / Ro)= (50*28 / 1,843)*(1 - 1,843 / ∞)= 0.7596%



= 0.125 / (1,857 / 24.8)= 0.001669

B = 97.91 MPa



S = 138 / 1.00 = 138 MPa



= 0.125 / (1,857 / 28)= 0.001885

B = 101.3 MPa

S = 138 / 1.00 = 138 MPa



= 0.125 / (1,857 / 28)= 0.001885

B = 101.3 MPa

S = 138 / 1.00 = 138 MPa



= 0.125 / (1,857 / 24.8)= 0.001669

B = 97.91 MPa

S = 138 / 1.00 = 138 MPa



= 0.125 / (1,857 / 24.8)= 0.001669

B = 97.91 MPa

S = 138 / 1.00 = 138 MPa




Saddle Support

Saddle material: SA-516 Gr. 70Saddle construction is: Web at edge of ribSaddle allowable stress: Ss = 137.895MPaSaddle yield stress: Sy = 262.001MPaSaddle distance to datum: 458 mmTangent to tangent length: L = 3,000 mmSaddle separation: Ls = 2,084 mmVessel radius: R = 1,857 mmTangent distance left: Al = 458 mmTangent distance right: Ar = 458 mmSaddle height: Hs = 2,167 mmSaddle contact angle: θ = 120 °Wind pressure: 1.0177 kPaWear plate thickness: tp = 28 mmWear plate width: Wp = 610 mmWear plate contact angle: θw = 132 °Web plate thickness: ts = 16 mmBase plate length: E = 3,300 mmBase plate width: F = 406 mmBase plate thickness: tb = 38 mmNumber of stiffener ribs: n = 5Largest stiffener rib spacing: di = 813 mmStiffener rib thickness: tw = 16 mmSaddle width: B = 330 mmAnchor bolt size & type: 48 mmAnchor bolt material: SA-193 B7Anchor bolt allowable shear: 103.421MPaAnchor bolt corrosion allowance: 0 mmAnchor bolts per saddle: 2Base coefficient of friction: µ = 0.45

Weight on left saddle: operating corr =38,812.54 kg, test new =39,789.13 kgWeight on right saddle: operating corr =36,800.86 kg, test new =37,564.71 kgWeight of saddle pair =2,648.07 kg

Notes:(1) Saddle calculations are based on the method presented in "Stresses in Large Cylindrical Pressure Vesselson Two Saddle Supports" by L.P. Zick.

Seismic base shear on vessel

Vessel is assumed to be a rigid structure.Method of seismic analysis: ASCE 7-10 ground supportedVertical seismic accelerations considered: YesForce Multiplier: 0.3333



Minimum Weight Multiplier: 0.2Importance factor: Ie = 1.25Site Class: CShort period spectral response acceleration: Ss = 40 percent of gFrom Table 11.4-1: Fa = 1.2



SMS = Fa*Ss = 1.2*0.4 = 0.48SDS = (2 / 3)*SMS = 0.32

Fp = 0.3*SDS*W*Ie*0.7= 0.3*0.32*741,514.16*1.25*0.7= 62,287.19 N

Saddle reactions due to weight + seismic

Vv = vertical seismic force acting on right saddleV = horizontal seismic shear acting on right saddle (worst case if not slotted)

Seismic longitudinal reaction, Ql (right saddle):

Ql = V*Hs / Ls + Vv= 62,287.21*2,167 / 2,084 + 72,178.63= 136,946.55 N

Seismic transverse reaction, Qt (right saddle):

Qt = V*Hs / (Ro*Sin( θ / 2 )) + Vv= 30,315.03*2,167 / (1,857*Sin( 120 / 2 )) + 72,178.63= 113,026.96 N

Q = Weight on saddle + larger of Qt or QlQ = W + Ql = 360,893.15 + 136,946.55 = 497,839.7 N

Vv = vertical seismic force acting on left saddleV = horizontal seismic shear acting on left saddle (worst case if not slotted)

Seismic longitudinal reaction, Ql (left saddle):

Ql = V*Hs / Ls + Vv= 62,287.21*2,167 / 2,084 + 76,124.2= 140,892.12 N

Seismic transverse reaction, Qt (left saddle):

Qt = V*Hs / (Ro*Sin( θ / 2 )) + Vv= 31,972.17*2,167 / (1,857*Sin( 120 / 2 )) + 76,124.2= 119,205.47 N


Transverse wind shear on vessel

Vwt = Pw*G*(Cf(shell)*(Projected shell area) + Cf(saddle)*(Projected saddle area))



= 1.02*0.85*1000*(0.5*28.4643 + 2*0.2046)= 12,666.42 N

End wind shear on vessel

Vwe = Pw*G*(Cf(shell)*π*Ro2 + Cf(saddle)*(Projected saddle area))

= 1.02*1e3*0.85*(0.5*π*2.7572 + 2*2.04)= 13,863.08 N

Saddle reactions due to weight + wind

V = horizontal wind shear acting on right saddle (worst case if not slotted)

Wind longitudinal reaction, Ql (right saddle):

Ql = V*Hs / Ls= 13,863.08*2,167 / 2,084= 14,415.21 N

Wind transverse reaction, Qt (right saddle):

Qt = V*Hs / (Ro*Sin( θ / 2 ))= 6,333.21*2,167 / (1,857*Sin( 120 / 2 ))= 8,533.75 N


V = horizontal wind shear acting on left saddle (worst case if not slotted)

Wind longitudinal reaction, Ql (left saddle):

Ql = V*Hs / Ls= 13,863.08*2,167 / 2,084= 14,415.21 N

Wind transverse reaction, Qt (left saddle):

Qt = V*Hs / (Ro*Sin( θ / 2 ))= 6,333.21*2,167 / (1,857*Sin( 120 / 2 ))= 8,533.75 N




Load Vesselcondition

Bending + pressurebetween saddles

(MPa)

Bending + pressure atthe saddle

(MPa)

S1(+)

allow(+)

S1(-)

allow(-)

S2(+)

allow(+)

S2(-)

allow(-)

Seismic Operating 64.377 165.6 0.732 117.49 63.449 165.6 -0.196 117.49

Seismic Vacuum 0.732 165.6 4.553 117.49 -0.196 165.6 3.624 117.49

Wind Operating 64.2 165.6 0.555 117.49 63.481 165.6 -0.164 117.49

Wind Test 73.385 235.8 0.492 117.49 72.744 235.8 -0.149 117.49

Wind Vacuum 0.555 165.6 4.375 117.49 -0.164 165.6 3.657 117.49

Load Vesselcondition

Tangentialshear(MPa)

Circumferentialstress (MPa)

Stressover

saddle(MPa)

Splitting(MPa)

S3 allow S4(horns)

allow(+/-) S5 allow S6 allow

Seismic Operating 10.863 110.4 -90.495 207 14.886 118.5 5.058 91.93

Seismic Vacuum 10.863 110.4 -90.495 207 14.886 128 5.058 91.93

Wind Operating 8.229 110.4 -68.549 207 11.276 118.5 3.831 91.93

Wind Test 7.225 188.64 -54.165 235.8 10.331 235.8 3.83 235.801

Wind Vacuum 8.229 110.4 -68.549 207 11.276 128 3.831 91.93

Load Case 1: Seismic ,Operating

Longitudinal stress between saddles (Seismic ,Operating, left saddle loading and geometry govern)

S1 = +- 3*K1*Q*(L / 12) / (π*R2*t)= 3*0.4963*521,513.13*(3,000 / 12) / (π*1,844.62*24.8)= 0.732 MPa

Sp = P*R / (2*t)= 1.72*1,832.2 / (2*24.8)= 63.645 MPa

Maximum tensile stress S1t = S1 + Sp = 64.377 MPaMaximum compressive stress (shut down) S1c = S1 = 0.732 MPa

Tensile stress is acceptable (<=1.2*S*E = 165.6 MPa)Compressive stress is acceptable (<=1.2*Sc = 117.49 MPa)

Longitudinal stress at the left saddle (Seismic ,Operating)

Le = 2*(Left head depth) / 3 + L + 2*(Right head depth) / 3= 2*940.6 / 3 + 3,000 + 2*940.6 / 3



= 4,254.13 mm

Seismic vertical acceleration coefficient m = 2.381*0.084 = 0.2

w = Wt*(1 + m)*10 / Le = 741,514.16*(1 + 0.2)*10 / 4,254.13 = 2,091.65 N/cm

Bending moment at the left saddle:

Mq = w*(2*H*Al / 3 + Al2 / 2 - (R2 - H2) / 4)

= 2,091.65 / 10000*(2*940.6*458 / 3 + 4582 / 2 - (1,8572 - 940.62) / 4)= -52,051.1 N-m

S2 = +- Mq*K1' / (π*R2*t)= -52,051.1*1e3*1 / (π*1,844.62*24.8)= -0.196 MPa

Sp = P*R / (2*t)= 1.72*1,832.2 / (2*24.8)= 63.645 MPa

Maximum tensile stress S2t = S2 + Sp = 63.449 MPaMaximum compressive stress (shut down) S2c = S2 = -0.196 MPa

Tensile stress is acceptable (<=1.2*S = 165.6 MPa)Compressive stress is acceptable (<=1.2*Sc = 117.49 MPa)

Tangential shear stress in the shell (left saddle, Seismic ,Operating)

S3 = K2.3*Q / (R*(t + tp))= 0.8799*521,513.13 / (1,844.6*(24.8 + 28))= 4.712 MPa

Tangential shear stress is acceptable (<= 0.8*S = 110.4 MPa)

Tangential shear stress in the left head (Seismic ,Operating)

S3 = K2.3*Q / (R*th)= 0.8799*521,513.13 / (1,844.6*22.9)= 10.863 MPa


Tangential shear stress in the shell at the wear plate edge (left saddle, Seismic ,Operating)

S3 = K2.3*Q / (R*t)= 0.6937*521,513.13 / (1,844.6*24.8)= 7.908 MPa




Additional stress in the head used as a stiffener

S3h = K2.4*Q / (R*th)= 0.4011*521,513.13 / (1,844.6*22.9)= 4.952 MPa

Sp = P*(K*Di + 0.2*th) / (2*th)= 1.72*(1*3,664.4 + 0.2*22.9) / (2*22.9)= 138.024 MPa

Total stress in the head = S3h + Sp = 142.976 MPa

Stress in the head is acceptable (<= 1.25*Sh = 172.5 MPa)

Circumferential stress at the left saddle horns (Seismic ,Operating)

S4 = -Q / (4*t*(b+1.56*Sqr(Ro*t))) - 12*K3*Q*R / (L*t2)= -521,513.13 / (4*24.8*(330+1.56*Sqr(1,857*24.8))) - 12*0.0132*521,513.13*1,844.6 / (3,000*24.82)= -90.495 MPa

Circumferential stress at saddle horns is acceptable (<=1.5*Sa = 207 MPa)The wear plate was not considered in the calculation of S4 because the wear plate width is not at least {B +1.56*(Rotc)0.5} =664.77 mm

Ring compression in shell over left saddle (Seismic ,Operating)

S5 = K5*Q / ((t + tp)*(ts + 1.56*Sqr(Ro*tc)))= 0.7603*521,513.13 / ((24.8 + 28)*(16 + 1.56*Sqr(1,857*52.8)))= 14.886 MPa

Ring compression in shell is acceptable (<= 0.5*Sy = 118.5 MPa)

Saddle splitting load (left, Seismic ,Operating)

Area resisting splitting force = Web area + wear plate area

Ae = Heff*ts + tp*Wp= 24.4*1.6 + 2.8*61= 209.84 cm2

S6 = K8*Q / Ae= 0.2035*521,513.13 / 20,984= 5.058 MPa

Stress in saddle is acceptable (<= (2 / 3)*Ss = 91.93 MPa)

Load Case 2: Seismic ,Vacuum

Longitudinal stress between saddles (Seismic ,Vacuum, left saddle loading and geometry govern)



S1 = +- 3*K1*Q*(L / 12) / (π*R2*t)= 3*0.4963*521,513.13*(3,000 / 12) / (π*1,844.62*24.8)= 0.732 MPa

Sp = P*R / (2*t)= 0.1*1,832.2 / (2*24.8)= 3.82 MPa

Maximum tensile stress (shut down) S1t = S1 = 0.732 MPaMaximum compressive stress S1c = S1 + Sp = 4.553 MPa


Longitudinal stress at the left saddle (Seismic ,Vacuum)

Le = 2*(Left head depth) / 3 + L + 2*(Right head depth) / 3= 2*940.6 / 3 + 3,000 + 2*940.6 / 3= 4,254.13 mm

Seismic vertical acceleration coefficient m = 2.381*0.084 = 0.2

w = Wt*(1 + m)*10 / Le = 741,514.16*(1 + 0.2)*10 / 4,254.13 = 2,091.65 N/cm


Mq = w*(2*H*Al / 3 + Al2 / 2 - (R2 - H2) / 4)

= 2,091.65 / 10000*(2*940.6*458 / 3 + 4582 / 2 - (1,8572 - 940.62) / 4)= -52,051.1 N-m

S2 = +- Mq*K1' / (π*R2*t)= -52,051.1*1e3*1 / (π*1,844.62*24.8)= -0.196 MPa

Sp = P*R / (2*t)= 0.1*1,832.2 / (2*24.8)= 3.82 MPa

Maximum tensile stress (shut down) S2t = S2 = -0.196 MPaMaximum compressive stress S2c = S2 + Sp = 3.624 MPa


Tangential shear stress in the shell (left saddle, Seismic ,Vacuum)

S3 = K2.3*Q / (R*(t + tp))= 0.8799*521,513.13 / (1,844.6*(24.8 + 28))= 4.712 MPa




Tangential shear stress in the left head (Seismic ,Vacuum)

S3 = K2.3*Q / (R*th)= 0.8799*521,513.13 / (1,844.6*22.9)= 10.863 MPa


Tangential shear stress in the shell at the wear plate edge (left saddle, Seismic ,Vacuum)

S3 = K2.3*Q / (R*t)= 0.6937*521,513.13 / (1,844.6*24.8)= 7.908 MPa



S3h = K2.4*Q / (R*th)= 0.4011*521,513.13 / (1,844.6*22.9)= 4.952 MPa



Circumferential stress at the left saddle horns (Seismic ,Vacuum)



Ring compression in shell over left saddle (Seismic ,Vacuum)


Ring compression in shell is acceptable (<= 0.5*Sy = 128 MPa)

Saddle splitting load (left, Seismic ,Vacuum)




Ae = Heff*ts + tp*Wp= 24.4*1.6 + 2.8*61= 209.84 cm2

S6 = K8*Q / Ae= 0.2035*521,513.13 / 20,984= 5.058 MPa


Load Case 3: Wind ,Operating

Longitudinal stress between saddles (Wind ,Operating, left saddle loading and geometry govern)

S1 = +- 3*K1*Q*(L / 12) / (π*R2*t)= 3*0.4963*395,036.22*(3,000 / 12) / (π*1,844.62*24.8)= 0.555 MPa

Sp = P*R / (2*t)= 1.72*1,832.2 / (2*24.8)= 63.645 MPa



Longitudinal stress at the left saddle (Wind ,Operating)


w = Wt / Le = 741,514.16*10 / 4,254.13 = 1,743.04 N/cm


Mq = w*(2*H*Al / 3 + Al2 / 2 - (R2 - H2) / 4)

= 1,743.04 / 10000*(2*940.6*458 / 3 + 4582 / 2 - (1,8572 - 940.62) / 4)= -43,375.9 N-m

S2 = +- Mq*K1' / (π*R2*t)= -43,375.9*1e3*1 / (π*1,844.62*24.8)= -0.164 MPa

Sp = P*R / (2*t)= 1.72*1,832.2 / (2*24.8)= 63.645 MPa





Tangential shear stress in the shell (left saddle, Wind ,Operating)

S3 = K2.3*Q / (R*(t + tp))= 0.8799*395,036.22 / (1,844.6*(24.8 + 28))= 3.569 MPa


Tangential shear stress in the left head (Wind ,Operating)

S3 = K2.3*Q / (R*th)= 0.8799*395,036.22 / (1,844.6*22.9)= 8.229 MPa


Tangential shear stress in the shell at the wear plate edge (left saddle, Wind ,Operating)

S3 = K2.3*Q / (R*t)= 0.6937*395,036.22 / (1,844.6*24.8)= 5.99 MPa



S3h = K2.4*Q / (R*th)= 0.4011*395,036.22 / (1,844.6*22.9)= 3.751 MPa

Sp = P*(K*Di + 0.2*th) / (2*th)= 1.72*(1*3,664.4 + 0.2*22.9) / (2*22.9)= 138.024 MPa



Circumferential stress at the left saddle horns (Wind ,Operating)





Ring compression in shell over left saddle (Wind ,Operating)



Saddle splitting load (left, Wind ,Operating)


Ae = Heff*ts + tp*Wp= 24.4*1.6 + 2.8*61= 209.84 cm2

S6 = K8*Q / Ae= 0.2035*395,036.22 / 20,984= 3.831 MPa


Load Case 4: Wind ,Test

Longitudinal stress between saddles (Wind ,Test, left saddle loading and geometry govern)

S1 = +- 3*K1*Q*(L / 12) / (π*R2*t)= 3*0.4963*394,955.05*(3,000 / 12) / (π*1,8432*28)= 0.492 MPa

Sp = P*R / (2*t)= 2.23*1,829 / (2*28)= 72.893 MPa


Tensile stress is acceptable (<= 0.9*Sy = 235.8 MPa)Compressive stress is acceptable (<=1.2*Sc = 117.49 MPa)

Longitudinal stress at the left saddle (Wind ,Test)




w = Wt / Le = 758,581.99*10 / 4,254.13 = 1,783.16 N/cm


Mq = w*(2*H*Al / 3 + Al2 / 2 - (R2 - H2) / 4)

= 1,783.16 / 10000*(2*940.6*458 / 3 + 4582 / 2 - (1,8572 - 940.62) / 4)= -44,374.3 N-m

S2 = +- Mq*K1' / (π*R2*t)= -44,374.3*1e3*1 / (π*1,8432*28)= -0.149 MPa

Sp = P*R / (2*t)= 2.23*1,829 / (2*28)= 72.893 MPa


Tensile stress is acceptable (<= 0.9*Sy = 235.8 MPa)Compressive stress is acceptable (<=1.2*Sc = 117.49 MPa)

Tangential shear stress in the shell (left saddle, Wind ,Test)

S3 = K2.3*Q / (R*(t + tp))= 0.8799*394,955.05 / (1,843*(28 + 28))= 3.367 MPa

Tangential shear stress is acceptable (<= 0.8*(0.9*Sy) = 188.64 MPa)

Tangential shear stress in the left head (Wind ,Test)

S3 = K2.3*Q / (R*th)= 0.8799*394,955.05 / (1,843*26.1)= 7.225 MPa


Tangential shear stress in the shell at the wear plate edge (left saddle, Wind ,Test)

S3 = K2.3*Q / (R*t)= 0.6937*394,955.05 / (1,843*28)= 5.309 MPa



S3h = K2.4*Q / (R*th)= 0.4011*394,955.05 / (1,843*26.1)



= 3.293 MPa

Sp = P*(K*Di + 0.2*th) / (2*th)= 2.23*(1*3,658 + 0.2*26.1) / (2*26.1)= 156.622 MPa


Stress in the head is acceptable (<= 0.9*Sy = 235.8 MPa)

Circumferential stress at the left saddle horns (Wind ,Test)

S4 = -Q / (4*t*(b+1.56*Sqr(Ro*t))) - 12*K3*Q*R / (L*t2)= -394,955.05 / (4*28*(330+1.56*Sqr(1,857*28))) - 12*0.0132*394,955.05*1,843 / (3,000*282)= -54.165 MPa

Circumferential stress at saddle horns is acceptable (<= 0.9*Sy = 235.8 MPa)The wear plate was not considered in the calculation of S4 because the wear plate width is not at least {B +1.56*(Rotc)0.5} =685.72 mm

Ring compression in shell over left saddle (Wind ,Test)

S5 = K5*Q / ((t + tp)*(ts + 1.56*Sqr(Ro*tc)))= 0.7603*394,955.05 / ((28 + 28)*(16 + 1.56*Sqr(1,857*56)))= 10.331 MPa


Saddle splitting load (left, Wind ,Test)


Ae = Heff*ts + tp*Wp= 24.4*1.6 + 2.8*61= 209.84 cm2

S6 = K8*Q / Ae= 0.2035*394,955.05 / 20,984= 3.83 MPa

Stress in saddle is acceptable (<= 0.9*Sy = 235.801 MPa)

Load Case 5: Wind ,Vacuum

Longitudinal stress between saddles (Wind ,Vacuum, left saddle loading and geometry govern)

S1 = +- 3*K1*Q*(L / 12) / (π*R2*t)= 3*0.4963*395,036.22*(3,000 / 12) / (π*1,844.62*24.8)= 0.555 MPa



Sp = P*R / (2*t)= 0.1*1,832.2 / (2*24.8)= 3.82 MPa

Maximum tensile stress (shut down) S1t = S1 = 0.555 MPaMaximum compressive stress S1c = S1 + Sp = 4.375 MPa


Longitudinal stress at the left saddle (Wind ,Vacuum)


w = Wt / Le = 741,514.16*10 / 4,254.13 = 1,743.04 N/cm


Mq = w*(2*H*Al / 3 + Al2 / 2 - (R2 - H2) / 4)

= 1,743.04 / 10000*(2*940.6*458 / 3 + 4582 / 2 - (1,8572 - 940.62) / 4)= -43,375.9 N-m

S2 = +- Mq*K1' / (π*R2*t)= -43,375.9*1e3*1 / (π*1,844.62*24.8)= -0.164 MPa

Sp = P*R / (2*t)= 0.1*1,832.2 / (2*24.8)= 3.82 MPa

Maximum tensile stress (shut down) S2t = S2 = -0.164 MPaMaximum compressive stress S2c = S2 + Sp = 3.657 MPa


Tangential shear stress in the shell (left saddle, Wind ,Vacuum)

S3 = K2.3*Q / (R*(t + tp))= 0.8799*395,036.22 / (1,844.6*(24.8 + 28))= 3.569 MPa


Tangential shear stress in the left head (Wind ,Vacuum)

S3 = K2.3*Q / (R*th)= 0.8799*395,036.22 / (1,844.6*22.9)



= 8.229 MPa


Tangential shear stress in the shell at the wear plate edge (left saddle, Wind ,Vacuum)

S3 = K2.3*Q / (R*t)= 0.6937*395,036.22 / (1,844.6*24.8)= 5.99 MPa



S3h = K2.4*Q / (R*th)= 0.4011*395,036.22 / (1,844.6*22.9)= 3.751 MPa



Circumferential stress at the left saddle horns (Wind ,Vacuum)



Ring compression in shell over left saddle (Wind ,Vacuum)


Ring compression in shell is acceptable (<= 0.5*Sy = 128 MPa)

Saddle splitting load (left, Wind ,Vacuum)


Ae = Heff*ts + tp*Wp= 24.4*1.6 + 2.8*61= 209.84 cm2

S6 = K8*Q / Ae= 0.2035*395,036.22 / 20,984



= 3.831 MPa


Shear stress in anchor bolting, one end slotted

Maximum seismic or wind base shear = 62,287.19 N

Thermal expansion base shear = W*µ = 393,605.37*0.45 = 177,122.42 NCorroded root area for a 48 mm bolt = 14.2438 cm2 ( 2 per saddle )

Bolt shear stress = 177,122.42 / (1,424.3842*1*2) = 62.175 MPa

Anchor bolt stress is acceptable (<= 103.421 MPa)

Shear stress in anchor bolting, transverse

Maximum seismic or wind base shear = 62,287.19 NCorroded root area for a 48 mm bolt = 14.2438 cm2 ( 2 per saddle )

Bolt shear stress = 62,287.19 / (1,424.3842*2*2) = 10.932 MPa

Anchor bolt stress is acceptable (<= 103.421 MPa)

Web plate buckling check (Escoe pg 251)

Allowable compressive stress Sc is the lesser of 137.895 or 89.591 MPa: (89.591)

Sc = Ki*π2*E / (12*(1 - 0.32)*(di / ts)2)= 1.28*π2*199.95E+03 / (12*(1 - 0.32)*(813 / 16)2)= 89.591 MPa

Allowable compressive load on the saddle

be = di*ts / (di*ts + 2*tw*(b - 25.4))*25.4= 813*16 / (813*16 + 2*16*(330 - 25.4))*25.4= 14.52

Fb = n*(As + 2*be*ts)*Sc= 5*(5,024 + 2*14.52*16)*89.591= 2,458,654.27 N

Saddle loading of 534,497.49 N is <= Fb; satisfactory.

Primary bending + axial stress in the saddle due to end loads (assumes one saddle slotted)σb = V*(Hs - xo)*y / I + Q / A= 62,287.19*(2,167 - 1,535.73)*216.27 / (1e4*45,233.75) + 521,513.13 / 76,582.69= 25.609 MPa

The primary bending + axial stress in the saddle <= 137.895 MPa; satisfactory.



Secondary bending + axial stress in the saddle due to end loads (includes thermal expansion,assumes one saddle slotted)σb = V*(Hs - xo)*y / I + Q / A= 239,409.61*(2,167 - 1,535.73)*216.27 / (1e4*45,233.75) + 521,513.13 / 76,582.69= 79.067 MPa

The secondary bending + axial stress in the saddle < 2*Sy= 524.002 MPa; satisfactory.

Saddle base plate thickness check (Roark sixth edition, Table 26, case 7a)

where a = 813, b = 390 mm

tb = (β1*q*b2 / (1.5*Sa))0.5

= (1.8587*0.399*3902 / (1.5*137.895))0.5

= 23.35 mm

The base plate thickness of 38 mm is adequate.

Foundation bearing check

Sf = Qmax / (F*E)= 534,497.49 / (406*3,300)= 0.399 MPa

Concrete bearing stress • 11.432 MPa ; satisfactory.



M1 (Manway Flange-Appendix-2)

ASME VIII-1, 2010 Edition, A11 Addenda Metric, Appendix 2 Flange Calculations

Flange is attached to: Manway Nozzle (M1)Flange type: Weld neck integralFlange material specification: SA-105 (II-D Metric p. 18, ln. 5)

Bolt material specification: SA-193 B7 Bolt <= 64 (II-D Metric p. 334,ln. 32)

Bolt Description: 27 mm Metric boltInternal design pressure, P: 1,685 kPa @ 110 °CLiquid static head acting on flange: 17.0259 kPaRequired flange thickness: tr= 54.06 mmMaximum allowable working pressure,MAWP: 3,055.19 kPa @ 110 °C

Maximum allowable pressure, MAP: 3,432.65 kPa @ 40 °CExternal design pressure, Pe 103.42 kPa @ 50 °CMaximum allowable external pressure,MAEP: 8,847.88 kPa @ 50 °C

Corrosion allowance: Bore = 3.2 mm Flange = 0 mmBolt corrosion (root), Cbolt: 0 mmDesign MDMT: -5 °C No impact test performed

Rated MDMT: -29 °C Flange material isnormalizedMaterial is not produced tofine grain practicePWHT is not performed

Estimated weight: New = 236.09 kg corroded = 228.25 kg

Flange dimensions, new

flange OD A = 985 mmbolt circle C = 914.4 mmgasket OD = 804.4 mmgasket ID = 779 mmflange ID B = 723.9 mmthickness t = 76.3 mmbolting = 28- 27 mm diahub thickness g1 = 28.58 mm



hub thickness g0 = 19.05 mmhub length h = 60.7 mmlength e = 137 mmgasket factor m = 3seating stress y = 68.948 MPaGasket thickness T = 4.45 mm

gasket description Flexitallic SpiralWound CG 316 S.S.

Note: this flange is calculated as an integral type.

Determination of Flange MDMT

UCS-66(b)(1)(b) has been applied.Flange is impact test exempt per UG-20(f)UCS-66 governing thickness = 19.05 mmBolts rated MDMT per Fig UCS-66 note (c) = -48 °C

The rated flange MDMT is -29 °C

Flange calculations for Internal Pressure + Wind



Gasket details from facing sketch 1(c) or (d), Column II

Gasket width N = 12.7 mmFacing width w = 12.7 mm

b0 = (w + N)/4 = 6.35 mm

Effective gasket seating width, b = 2.5*b01/2 = 6.3 mm

G = gasket OD - 2*b = 804.4 - 2*6.3 = 791.8 mm

hG = (C - G)/2 = (914.4 - 791.8)/2 = 61.3 mm

hD = R + g1/2 = 66.68 + 25.37/2 = 79.36 mm

hT = (R + g1 + hG)/2 = (66.68 + 25.37 + 61.3)/2 = 76.67 mm

Hp = 2*b*3.14*G*m*P= 2*6.3*3.14*791.8*3*1.702= 159,936.98 N

H = 0.785*G2*P= 0.785*791.82*1.702= 837,661.65 N

HD = 0.785*B2*P= 0.785*730.32*1.702= 712,589.52 N

HT = H - HD= 837,661.65 - 712,589.52= 125,072.12 N

Wm1 = H + Hp= 837,661.65 + 159,936.98= 997,598.63 N

Wm2 = 3.14*b*G*y= 3.14*6.3*791.8*68.9476= 1,079,817.7 N

Required bolt area, Am = greater of Am1, Am2 = 62.7801 cm2

Am1 = Wm1/Sb = 997,598.63/(100*172) = 57.9999 cm2

Am2 = Wm2/Sa = 1,079,817.7/(100*172) = 62.7801 cm2

Total area for 28- 27 mm dia bolts, corroded, Ab = 124.0488 cm2

W = (Am + Ab)*Sa/2



= (6,278.009 + 12,404.88)*172/2= 1,606,728.52 N

MD = HD*hD = 712,589.52*0.0794 = 56,552.7 N-mMT = HT*hT = 125,072.12*0.0767 = 9,589.8 N-m

HG = Wm1 - H = 997,598.63 - 837,661.65 = 159,936.98 N

MG = HG*hG = 159,936.98*0.0613 = 9,804 N-m

Mo = MD + MT + MG = 56,552.7 + 9,589.8 + 9,804 = 75,946.6 N-m

Mg = W*hG = 1,606,728.52*0.0613 = 98,491.1 N-m

Hub and Flange Factors

h0 = (B*g0)1/2 = (730.3*15.85)1/2 = 107.59 mm

From FIG. 2-7.1, where K = A/B = 985/730.3 = 1.3488T = 1.7764 Z = 3.4416 Y = 6.6467 U = 7.304

h/h0 = 0.5642 g1/g0 = 1.601

F = 0.8319 V = 0.2758 e = F/h0 = 0.0773

d = (U/V)*h0*g02= (7.304/0.2758)*10.7587*1.5852

= 715.7361 cm3

Stresses at operating conditions - VIII-1, Appendix 2-7

f = 1

L = (t*e + 1)/T + t3/d= (7.63*0.0773 + 1)/1.7764 + 7.633/715.7361= 1.5156

SH = f*Mo/(L*g12*B)

= 1e3*1*75,946.6/(1.5156*25.372*730.3)= 106.564 MPa

SR = (1.33*t*e + 1)*Mo/(L*t2*B)= (1.33*76.3*0.0077 + 1)*1e3*75,946.6/(1.5156*76.32*730.3)= 21.034 MPa

ST = Y*Mo/(t2*B) - Z*SR= 1e3*6.6467*75,946.6/(76.32*730.3) - 3.4416*21.034= 46.342 MPa

Allowable stress Sfo = 138 MPaAllowable stress Sno = 138 MPa



ST does not exceed SfoSH does not exceed Min[ 1.5*Sfo, 2.5*Sno ] = 207 MPaSR does not exceed Sfo0.5(SH + SR) = 63.799 MPa does not exceed Sfo0.5(SH + ST) = 76.453 MPa does not exceed Sfo

Stresses at gasket seating - VIII-1, Appendix 2-7

SH = f*Mg/(L*g12*B)

= 1e3*1*98,491.1/(1.5156*25.372*730.3)= 138.197 MPa

SR = (1.33*t*e + 1)*Mg/(L*t2*B)= (1.33*76.3*0.0077 + 1)*1e3*98,491.1/(1.5156*76.32*730.3)= 27.278 MPa

ST = Y*Mg/(t2*B) - Z*SR= 6.6467*1e3*98,491.1/(76.32*730.3) - 3.4416*27.278= 60.098 MPa

Allowable stress Sfa = 138 MPaAllowable stress Sna = 138 MPa

ST does not exceed SfaSH does not exceed Min[ 1.5*Sfa, 2.5*Sna ] = 207 MPaSR does not exceed Sfa0.5(SH + SR) = 82.737 MPa does not exceed Sfa0.5(SH + ST) = 99.148 MPa does not exceed Sfa

Flange rigidity per VIII-1, Appendix 2-14

J = 52.14*V*Mo/(L*E*g02*KI*h0)

= 1e3*52.14*0.2758*98,491.1/(1.5156*200.2E+03*15.852*0.3*107.59)= 0.5757

The flange rigidity index J does not exceed 1; satisfactory.

Flange calculations for External Pressure + Wind per VIII-1, Appendix 2-11





b0 = (w + N)/4 = 6.35 mm


G = gasket OD - 2*b = 804.4 - 2*6.3 = 791.8 mm

hG = (C - G)/2 = (914.4 - 791.8)/2 = 61.3 mm

hD = R + g1/2 = 66.68 + 25.37/2 = 79.36 mm

hT = (R + g1 + hG)/2 = (66.68 + 25.37 + 61.3)/2 = 76.67 mm

Hp = 2*b*3.14*G*m*P= 2*6.3*3.14*791.8*3*0.1034= 9,718.36 N

H = 0.785*G2*P= 0.785*791.82*0.1034= 50,899.4 N

HD = 0.785*B2*P= 0.785*730.32*0.1034= 43,299.56 N

HT = H - HD= 50,899.4 - 43,299.56= 7,599.84 N

Wm1 = H + Hp= 50,899.4 + 9,718.36= 60,617.76 N

Wm2 = 3.14*b*G*y= 3.14*6.3*791.8*68.9476= 1,079,817.7 N


Am1 = 0.785*G2*(Pm - Pr)/Sb = 0/(100*172) = 0 cm2

Am2 = Wm2/Sa = 1,079,817.7/(100*172) = 62.7801 cm2

Total area for 28- 27 mm dia bolts, corroded, Ab = 124.0488 cm2

W = (Am2 + Ab)*Sa/2



= (6,278.009 + 12,404.88)*172/2= 1,606,728.52 N

Mo = HD*(hD - hG) + HT*(hT - hG)= 43,299.56*(0.0794 - 0.0613) + 7,599.84*(0.0767 - 0.0613)= 899 N-m

Mg = W*hG = 1,606,728.52*0.0613 = 98,491.1 N-m


h0 = (B*g0)1/2 = (730.3*15.85)1/2 = 107.59 mm

From FIG. 2-7.1, where K = A/B = 985/730.3 = 1.3488T = 1.7764 Z = 3.4416 Y = 6.6467 U = 7.304

h/h0 = 0.5642 g1/g0 = 1.601

F = 0.8319 V = 0.2758 e = F/h0 = 0.0773

d = (U/V)*h0*g02= (7.304/0.2758)*10.7587*1.5852

= 715.7361 cm3


f = 1

L = (t*e + 1)/T + t3/d= (7.63*0.0773 + 1)/1.7764 + 7.633/715.7361= 1.5156

SH = f*Mo/(L*g12*B)

= 1e3*1*899/(1.5156*25.372*730.3)= 1.261 MPa

SR = (1.33*t*e + 1)*Mo/(L*t2*B)= (1.33*76.3*0.0077 + 1)*1e3*899/(1.5156*76.32*730.3)= 0.249 MPa

ST = Y*Mo/(t2*B) - Z*SR= 1e3*6.6467*899/(76.32*730.3) - 3.4416*0.249= 0.549 MPa


ST does not exceed SfoSH does not exceed Min[ 1.5*Sfo, 2.5*Sno ] = 207 MPaSR does not exceed Sfo0.5(SH + SR) = 0.755 MPa does not exceed Sfo



0.5(SH + ST) = 0.905 MPa does not exceed Sfo


SH = f*Mg/(L*g12*B)

= 1e3*1*98,491.1/(1.5156*25.372*730.3)= 138.197 MPa

SR = (1.33*t*e + 1)*Mg/(L*t2*B)= (1.33*76.3*0.0077 + 1)*1e3*98,491.1/(1.5156*76.32*730.3)= 27.278 MPa

ST = Y*Mg/(t2*B) - Z*SR= 6.6467*1e3*98,491.1/(76.32*730.3) - 3.4416*27.278= 60.098 MPa




J = 52.14*V*Mo/(L*E*g02*KI*h0)

= 1e3*52.14*0.2758*98,491.1/(1.5156*200.2E+03*15.852*0.3*107.59)= 0.5757


M1 (Manway Flange-Appendix-2) - Flange hub


Component: Flange hubMaterial specification: SA-105 (II-D Metric p. 18, ln. 5)Material is impact test exempt per UG-20(f)UCS-66 governing thickness = 19.05 mm


Static liquid head:

Ps = 17.03 kPa (SG = 1, Hs = 1,737.59 mm,Operating head)

Pth = 23.91 kPa (SG = 1, Hs = 2,440.59 mm, Horizontal testhead)




Design MDMT = -5 °C No impact test performedRated MDMT = -29 °C Material is normalized


Radiography: Longitudinal joint - Seamless No RTLeft circumferential joint - N/ARight circumferential joint - Full UW-11(a) Type 1


OD = 762 mmLengthLc

= 60.7 mm

t = 19.05 mm

Design thickness, (at 110 °C) Appendix 1-1

t = P*Ro / (S*E + 0.40*P) + Corrosion= 1,702.03*381 / (138,000*1.00 + 0.40*1,702.03) + 3.2= 7.88 mm

Maximum allowable working pressure, (at 110 °C) Appendix 1-1

P = S*E*t / (Ro - 0.40*t) - Ps= 138,000*1.00*15.85 / (381 - 0.40*15.85) - 17.03= 5,820.92 kPa

Maximum allowable pressure, (at 40 °C) Appendix 1-1

P = S*E*t / (Ro - 0.40*t)= 138,000*1.00*19.05 / (381 - 0.40*19.05)= 7,040.82 kPa


L / Do = 60.7 / 762 = 0.0797Do / t = 762 / 0.82 = 928.1860From table G: A = 0.000724From table CS-2Metric: B = 71.9944 MPa

Pa = 4*B / (3*(Do / t))= 4*71,994.4 / (3*(762 / 0.82))= 103.42 kPa




ta = t + Corrosion = 0.82 + 3.2 = 4.02mm


L / Do = 60.7 / 762 = 0.0797Do / t = 762 / 15.85 = 48.0769From table G: A = 0.100000From table CS-2Metric: B = 121 MPa

Pa = 4*B / (3*(Do / t))= 4*121,000 / (3*(762 / 15.85))= 3,355.73 kPa



M1 BLRF COVER


Component: Bolted CoverAttached to: M1 (Manway Flange-Appendix-2)Material specification: SA-105 (II-D Metric p. 18, ln. 5)Bolted cover is impact test exempt per UG-20(f)UCS-66 governing thickness = 19.08 mm.


Static liquid head:

Ps = 20.6 kPa (SG = 1, Hs = 2,102.74 mm, Operating head)

Pth = 24.33 kPa (SG = 1, Hs = 2,483.49 mm, Horizontal testhead)

Corrosion allowance: Inner C = 3.2 mm Outer C = 0 mm



Radiography: Category A joints - Seamless No RT

Estimated weight: New = 455.4 kg corr = 436.3 kg

Head diameter, d = 791.8 mmCover thickness, t = 76.3 mmDesign thickness, (at 110 °C) UG-34 (c)(2), flange operating

t = d*Sqr(C*P / (S*E) + 1.9*W*hG / (S*E*d3)) + Corrosion= 791.8*Sqr(0.3*1.71 / (138*1) + 1.9*999,695.62*61.3 / (138*1*791.83)) + 3.2= 61.43 mm

Design thickness, (at 40 °C) UG-34 (c)(2), gasket seating

t = d*Sqr(1.9*W*hG / (S*E*d3)) + Corrosion= 791.8*Sqr(1.9*1,606,728.52*61.3 / (138*1*791.83)) + 3.2= 44.58 mm

Maximum allowable working pressure, (at 110 °C )

P = (S*E / C)*((t / d)2 - (1.9*W*hG / (S*E*d3))) - Ps= (138*1000*1 / 0.3)*((73.1 / 791.8)2 - (1.9*1,575,697.07*61.3 / (138*1000*1*791.83))) - 20.6036= 2,667.73 kPa



Maximum allowable pressure, (At 40 °C )

P = (S*E / C)*((t / d)2 - (1.9*W*hG / (S*E*d3)))= (138*1000*1 / 0.3)*((76.3 / 791.8)2 - (1.9*1,716,694.69*61.3 / (138*1000*1*791.83)))= 2,928.89 kPa

Design thickness for external pressure, (at 50 °C) U-2(g)

t = d*Sqr(C*Pa / (S*E)) + Corrosion= 791.8*Sqr(0.3*0.1 / (138*1)) + 3.2= 15.07 mm

Maximum allowable external pressure, (At 50 °C ) U-2(g)

Pa = (S*E / C)*(t / d)2

= (138*1000*1 / 0.3)*(73.1 / 791.8)2

= 3,920.62 kPa



Media Fill Port (N4)


tw(lower) = 28 mmLeg41 = 22 mmtw(upper) = 28 mmLeg42 = 22 mmDp = 468.61 mmte = 28 mm


Located on: Shell-2Liquid static head included: 3.2095 kPa

Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 40)(normalized)

Nozzle longitudinal joint efficiency: 1Nozzle description: NPS 10 Sch 160 DN 250Pad material specification: SA-516 70 (II-D Metric p. 18, ln. 19) (normalized)Pad diameter: 468.61 mmFlange description: NPS 10 Class 150 WN A105Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)Flange rated MDMT: -29°C(UCS-66(b)(1)(b))Liquid static head on flange: 0 kPaASME B16.5-2009 flange rating MAWP: 1,732 kPa @ 110°CASME B16.5-2009 flange rating MAP: 1,925.07 kPa @ 40°CASME B16.5-2009 flange hydro test: 2,900 kPa @ 40°CGasket Description: Flexitallic Spiral Wound CG 316 S.S.PWHT performed: NoCircumferential joint radiography: Full UW-11(a) Type 1Nozzle orientation: 0°Local vessel minimum thickness: 28 mmNozzle center line offset to datum line: 2,052 mmEnd of nozzle to shell center: 2,340 mmOffset from center, Lo: 723 mm



Nozzle inside diameter, new: 215.9 mmNozzle nominal wall thickness: 28.58 mmNozzle corrosion allowance: 3.2 mmOpening chord length: 241.76 mmProjection available outside vessel, Lpr: 476.44 mmProjection available outside vessel to flange face, Lf: 578.04 mmPad is split: No




The attached ASME B16.5 flange limits the nozzle MAWP.




(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

57.8269 83.8967 3.7181 25.1567 -- 48.16 6.8619 11.31 28.58


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

756,201 1,106,465 1,910,462 552,792 2,858,202 1,254,980 2,181,260








Nozzle impact test exemption temperature from Fig UCS-66M Curve C = -17.38 °C.



LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(241.76, 120.88 + (28.58 - 3.2) + (28 - 3.2))= 241.76 mm




LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(28 - 3.2), 2.5*(28.58 - 3.2) + 28)= 62 mm


trn = P*Rn / (Sn*E - 0.6*P)= 1,735.2113*111.15 / (118,000*1 - 0.6*1,735.2113)= 1.65 mm

Required thickness tr from UG-37(a)

tr = P*R / (S*E - 0.6*P)= 1,735.2113*1,832.2 / (138,000*1 - 0.6*1,735.2113)= 23.21 mm



fr1 = lesser of 1 or Sn / Sv = 0.8551


fr3 = lesser of fr2 or Sp / Sv = 0.8551


A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (241.76*23.21*1 + 2*25.37*23.21*1*(1 - 0.8551)) / 100= 57.8269 cm2



= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (241.76*(1*24.8 - 1*23.21) - 2*25.37*(1*24.8 - 1*23.21)*(1 - 0.8551)) / 100= 3.7181 cm2




= (2*(24.8 + 25.37)*(1*24.8 - 1*23.21) - 2*25.37*(1*24.8 - 1*23.21)*(1 - 0.8551)) / 100= 1.4755 cm2


= 5*(tn - trn)*fr2*t= (5*(25.37 - 1.65)*0.8551*24.8) / 100= 25.1567 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(25.37 - 1.65)*(2.5*25.37 + 28)*0.8551) / 100= 37.1019 cm2

A41 = Leg2*fr3= (222*0.8551) / 100= 4.1387 cm2

A42 = Leg2*fr4= (16.52*1) / 100= 2.7232 cm2

(Part of the weld is outside of the limits)

A5 = (Dp - d - 2*tn)*te*fr4= ((468.61 - 296.61)*28*1) / 100= 48.16 cm2

Area = A1 + A2 + A41 + A42 + A5= 3.7181 + 25.1567 + 4.1387 + 2.7232 + 48.16= 83.8967 cm2









ta = max[ ta UG-27 , ta UG-22 ]= max[ 4.85 , 0 ]= 4.85 mm

tb1 = P*R / (S*E - 0.6*P) + Corrosion= 1,735.2113*1,832.2 / (138,000*1 - 0.6*1,735.2113) + 3.2= 26.41 mm


tb = min[ tb3 , tb1 ]= min[ 11.31 , 26.41 ]= 11.31 mm


Available nozzle wall thickness new, tn = 28.58 mm




(1) Inner fillet weld in shear(π / 2)*Nozzle OD*Leg*Si = (π / 2)*273.05*22*57.82 = 545,585.56 N

(2) Outer fillet weld in shear



(π / 2)*Pad OD*Leg*So = (π / 2)*468.61*22*67.62 = 1,095,040.8 N

(3) Nozzle wall in shear(π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*247.68*25.37*82.6 = 815,421.28 N

(4) Groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*273.05*24.8*102.12 = 1,086,219.51 N

(6) Upper groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*273.05*28*102.12 = 1,226,396.65 N


W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv= (5,782.6863 - 371.8057 + 2*25.37*0.8551*(1*24.8 - 1*23.21))*138= 756,201.26 N

W1-1 = (A2 + A5 + A41 + A42)*Sv= (2,515.6724 + 4,816 + 413.8701 + 272.322)*138= 1,106,465.47 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (2,515.6724 + 0 + 413.8701 + 0 + 2*25.37*24.8*0.8551)*138= 552,791.79 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv= (2,515.6724 + 0 + 4,816 + 413.8701 + 272.322 + 0 + 2*25.37*24.8*0.8551)*138= 1,254,980.34 N



Load for path 1-1 lesser of W or W1-1 = 756,201.26 NPath 1-1 through (2) & (3) = 1,095,040.8 + 815,421.28 = 1,910,462.08 NPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).

Load for path 2-2 lesser of W or W2-2 = 552,791.79 NPath 2-2 through (1), (4), (6) = 545,585.56 + 1,086,219.51 + 1,226,396.65 = 2,858,201.72 NPath 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).

Load for path 3-3 lesser of W or W3-3 = 756,201.26 NPath 3-3 through (2), (4) = 1,095,040.8 + 1,086,219.51 = 2,181,260.31 NPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).


The attached ASME B16.5 flange limits the nozzle MAP.




(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

62.5604 89.7664 5.1445 32.0799 -- 48.16 4.3819 8.11 28.58


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

807,652 1,167,782 2,001,442 688,647 2,998,379 1,356,612 2,321,437











LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(234.87, 117.43 + (28.58 - 0) + (28 - 0))= 234.87 mm


LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(28 - 0), 2.5*(28.58 - 0) + 28)= 70 mm


trn = P*Rn / (Sn*E - 0.6*P)= 1,925.0652*107.95 / (118,000*1 - 0.6*1,925.0652)= 1.78 mm


tr = P*R / (S*E - 0.6*P)= 1,925.0652*1,829 / (138,000*1 - 0.6*1,925.0652)= 25.73 mm









A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (234.87*25.73*1 + 2*28.58*25.73*1*(1 - 0.8551)) / 100= 62.5604 cm2



= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (234.87*(1*28 - 1*25.73) - 2*28.58*(1*28 - 1*25.73)*(1 - 0.8551)) / 100= 5.1445 cm2

= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(28 + 28.58)*(1*28 - 1*25.73) - 2*28.58*(1*28 - 1*25.73)*(1 - 0.8551)) / 100= 2.3813 cm2


= 5*(tn - trn)*fr2*t= (5*(28.58 - 1.78)*0.8551*28) / 100= 32.0799 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(28.58 - 1.78)*(2.5*28.58 + 28)*0.8551) / 100= 45.5702 cm2

A41 = Leg2*fr3= (222*0.8551) / 100= 4.1387 cm2

A42 = Leg2*fr4= (4.942*1) / 100= 0.2432 cm2


A5 = (Dp - d - 2*tn)*te*fr4= ((468.61 - 296.61)*28*1) / 100= 48.16 cm2

Area = A1 + A2 + A41 + A42 + A5



= 5.1445 + 32.0799 + 4.1387 + 0.2432 + 48.16= 89.7664 cm2






ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 1,925.0652*107.95 / (118,000*1 - 0.6*1,925.0652) + 0= 1.78 mm


tb1 = P*R / (S*E - 0.6*P) + Corrosion= 1,925.0652*1,829 / (138,000*1 - 0.6*1,925.0652) + 0= 25.73 mm


tb = min[ tb3 , tb1 ]= min[ 8.11 , 25.73 ]= 8.11 mm









(2) Outer fillet weld in shear(π / 2)*Pad OD*Leg*So = (π / 2)*468.61*22*67.62 = 1,095,040.8 N


(4) Groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*273.05*28*102.12 = 1,226,396.65 N



W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv= (6,256.0412 - 514.4506 + 2*28.58*0.8551*(1*28 - 1*25.73))*138= 807,652.1 N

W1-1 = (A2 + A5 + A41 + A42)*Sv= (3,207.9936 + 4,816 + 413.8701 + 24.3225)*138= 1,167,781.87 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (3,207.9936 + 0 + 413.8701 + 0 + 2*28.58*28*0.8551)*138= 688,646.97 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv= (3,207.9936 + 0 + 4,816 + 413.8701 + 24.3225 + 0 + 2*28.58*28*0.8551)*138



= 1,356,611.58 N










(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

30.8857 79.0122 -- 23.998 -- 48.16 6.8542 11.31 28.58
















Nozzle required thickness per UG-28 trn = 2.74 mm








A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))= (0.5*(241.73*24.8*1 + 2*25.37*24.8*1*(1 - 0.8551))) / 100= 30.8857 cm2


A1 = larger of the following= 0 cm2

= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (241.73*(1*24.8 - 1*24.8) - 2*25.37*(1*24.8 - 1*24.8)*(1 - 0.8551)) / 100= 0 cm2

= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(24.8 + 25.37)*(1*24.8 - 1*24.8) - 2*25.37*(1*24.8 - 1*24.8)*(1 - 0.8551)) / 100= 0 cm2





= (5*(25.37 - 2.74)*0.8551*24.8) / 100= 23.998 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(25.37 - 2.74)*(2.5*25.37 + 28)*0.8551) / 100= 35.3922 cm2

A41 = Leg2*fr3= (222*0.8551) / 100= 4.1387 cm2

A42 = Leg2*fr4= (16.482*1) / 100= 2.7155 cm2


A5 = (Dp - d - 2*tn)*te*fr4= ((468.61 - 296.61)*28*1) / 100= 48.16 cm2

Area = A1 + A2 + A41 + A42 + A5= 0 + 23.998 + 4.1387 + 2.7155 + 48.16= 79.0122 cm2






ta UG-28 = 5.94 mm

ta = max[ ta UG-28 , ta UG-22 ]



= max[ 5.94 , 0 ]= 5.94 mm

tb2 = P*R / (S*E - 0.6*P) + Corrosion= 664.3024*1,832.2 / (138,000*1 - 0.6*664.3024) + 3.2= 12.04 mm


tb = min[ tb3 , tb2 ]= min[ 11.31 , 12.04 ]= 11.31 mm





L / Do = 693.89 / 273.05 = 2.5413Do / t = 273.05 / 2.74 = 99.5984From table G: A = 0.000500From table CS-2Metric: B = 49.6226 MPa

Pa = 4*B / (3*(Do / t))= 4*49,622.59 / (3*(273.05 / 2.74))= 664.3 kPa


ta = t + Corrosion = 2.74 + 3.2 = 5.94mm



Tabular Results

Results were generated with the finite element program FE/Pipe&#174. Stress results are post-processed inaccordance with the rules specified in ASME Section III and ASME Section VIII, Division 2.

Analysis Time Stamp: Sat May 25 10:12:43 2013.

Model Notes• Load Case Report• Solution Data• ASME Code Stress Output Plots• Region Data• ASME Overstressed Areas• Highest Primary Stress Ratios• Highest Secondary Stress Ratios• Highest Fatigue Stress Ratios• Stress Intensification Factors• Allowable Loads• Flexibilities• Graphical Results•

Model Notes

Input Echo:

Model Type : Cylindrical Shell

Parent Outside Diameter : 3714.000 mm.Thickness : 24.800 mm.Fillet Along Shell : 22.000 mm.

Parent Properties:Cold Allowable : 138.0 MPaHot Allowable : 138.0 MPaMaterial ID #2 : Low Alloy SteelUltimate Tensile (Amb) : 345.0 MPaYield Strength (Amb) : 262.0 MPaYield Strength (Hot) : 237.0 MPaElastic Modulus (Amb) : 201200.0 MPaPoissons Ratio : 0.300Weight Density : 0.7682E-04 N /cu.mm.(NOT USED)



Hillside Offset Distance : 723.000 mm.

Nozzle Outside Diameter : 273.050 mm.Thickness : 25.375 mm.Length : 641.926 mm.Nozzle Weld Length : 22.000 mm.RePad Width : 86.000 mm.RePad Thickness : 28.000 mm.Nozzle Tilt Angle : 0.000 deg.Distance from Top : 458.000 mm.Distance from Bottom : 2002.000 mm.

Nozzle PropertiesCold Allowable : 118.0 MPaHot Allowable : 118.0 MPaMaterial ID #2 : Low Alloy SteelUltimate Tensile (Amb) : 483.0 MPaYield Strength (Amb) : 241.0 MPaYield Strength (Hot) : 219.0 MPaElastic Modulus (Amb) : 201200.0 MPaPoissons Ratio : 0.300Weight Density : 0.7682E-04 N /cu.mm. (NOT USED)

Design Operating Cycles : 0.Ambient Temperature (Deg.) : 21.00

The following temperatures have been specified for the analysis:

Nozzle Inside Temperature : 110.00 deg.Nozzle Outside Temperature : 110.00 deg.Vessel Inside Temperature : 110.00 deg.Vessel Outside Temperature : 110.00 deg.Nozzle Pressure : 1.688 MPaVessel Pressure : 1.688 MPa

No external forces or bending moments were included in this analysis.

Both ends of the model are "fixed," except that one endis free axially so that longitudinal pressure stressesmay be developed in the geometry.

Stresses will be calculated in the weld elements surroundingthe junction of the nozzle with the parent shell. This istypically done to get accurate values for the pressurestresses on the inside surface of the nozzle in thelongitudinal plane. The effect of any external loads willoveremphasized (too conservative) in this run.



Stresses are NOT averaged.

No pad weld dimensions have been given for the padconnection to the shell. Few correlations have beenperformed to investigate the sensitivity of peak stressesto this value. Reasonable lengths have been assumed.

Vessel Centerline Vector : 0.000 0.000 1.000Nozzle Orientation Vector : 0.000 1.000 0.000

Table of Contents

Load Case ReportInner and outer element temperatures are the samethroughout the model. No thermal ratchetingcalculations will be performed.

THE 8 LOAD CASES ANALYZED ARE:

1 SUSTAINED

Sustained case run to satisfy local primarymembrane and bending stress limits.

/-------- Loads in Case 1Pressure Case 1

2 Thermal ONLY

Thermal ONLY case run in the event expansionstresses exceed the secondary stress allowable.

/-------- Loads in Case 2Temperature Case 1

3 OPERATING (Fatigue Calc Performed)

Case run to compute the operating stresses used insecondary, peak and range calculations as needed.

/-------- Loads in Case 3Pressure Case 1Temperature Case 1

4 Program Generated -- Force Only

Case run to compute sif's and flexibilities./-------- Loads in Case 4Loads from (Axial)




Case run to compute sif's and flexibilities./-------- Loads in Case 5Loads from (Inplane)


Case run to compute sif's and flexibilities./-------- Loads in Case 6Loads from (Outplane)


Case run to compute sif's and flexibilities./-------- Loads in Case 7Loads from (Torsion)


Case run to compute sif's and flexibilities./-------- Loads in Case 8Pressure Case 1

Table of Contents

Solution Data

Maximum Solution Row Size = 762Number of Nodes = 2196Number of Elements = 708Number of Solution Cases = 8

Summation of Loads per Case

Case # FX FY FZ

1 3662777. 8549154. 3703820.2 0. 0. 0.3 3662777. 8549154. 3703820.4 448. 102446000. -184.5 4. 0. 15.6 -12. 0. -3.7 0. 0. 0.8 3662777. 8549154. 3703820.



Table of Contents

ASME Code Stress Output Plots

1) Pl < (1.5)(S) (SUS,Membrane) Case 1

2) Qb < SPS (SUS,Bending) Case 1

3) S1+S2+S3 < 4S (SUS,S1+S2+S3) Case 1

4) Pl+Pb+Q < SPS (OPE,Inside) Case 3

5) Pl+Pb+Q < SPS (OPE,Outside) Case 3

6) Pl+Pb+Q+F < Sa (EXP,Inside) Case 3

7) Pl+Pb+Q+F < Sa (EXP,Outside) Case 3

8) Pl+Pb+Q+F < Sa (SIF,Outside) Case 4





Table of Contents

Region Data

Header/Pad at Junction

Cold Allowable ........... 138. MPaHot Allowable @ 110 deg .. 138. MPaCase 1Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 126. MPaCase 3Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 126. MPaCase 4Nominal Stress (M/Z) ... 5189. MPaPressure Stress (Pd/2t) .. 0. MPaCase 5



Nominal Stress (M/Z) ... 91. MPaPressure Stress (Pd/2t) .. 0. MPaCase 6Nominal Stress (M/Z) ... 91. MPaPressure Stress (Pd/2t) .. 0. MPaCase 7Nominal Stress (M/Z) ... 91. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 126. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 25.375 mm.Stress Concentration ..... 1.350

Branch at Junction

Cold Allowable ........... 118. MPaHot Allowable @ 110 deg .. 118. MPaCase 1Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 126. MPaCase 3Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 126. MPaCase 4Nominal Stress (M/Z) ... 5189. MPaPressure Stress (Pd/2t) .. 0. MPaCase 5Nominal Stress (M/Z) ... 91. MPaPressure Stress (Pd/2t) .. 0. MPaCase 6Nominal Stress (M/Z) ... 91. MPaPressure Stress (Pd/2t) .. 0. MPaCase 7Nominal Stress (M/Z) ... 91. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 126. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 25.375 mm.Stress Concentration ..... 1.350

Branch Transition

Cold Allowable ........... 118. MPaHot Allowable @ 110 deg .. 118. MPaCase 1Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 126. MPaCase 3



Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 126. MPaCase 4Nominal Stress (M/Z) ... 5189. MPaPressure Stress (Pd/2t) .. 0. MPaCase 5Nominal Stress (M/Z) ... 91. MPaPressure Stress (Pd/2t) .. 0. MPaCase 6Nominal Stress (M/Z) ... 91. MPaPressure Stress (Pd/2t) .. 0. MPaCase 7Nominal Stress (M/Z) ... 91. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 126. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 25.375 mm.Stress Concentration ..... 1.350

Pad Outer Edge Weld


Header/Pad removed from Junction




Branch removed from Junction

Cold Allowable ........... 118. MPaHot Allowable @ 110 deg .. 118. MPaCase 1Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 126. MPaCase 3Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 126. MPaCase 4Nominal Stress (M/Z) ... 5189. MPaPressure Stress (Pd/2t) .. 0. MPaCase 5Nominal Stress (M/Z) ... 91. MPaPressure Stress (Pd/2t) .. 0. MPaCase 6Nominal Stress (M/Z) ... 91. MPaPressure Stress (Pd/2t) .. 0. MPaCase 7Nominal Stress (M/Z) ... 91. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 126. MPa



Pressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 25.375 mm.Stress Concentration ..... 1.000

Table of Contents

ASME Overstressed Areas

*** NO OVERSTRESSED NODES IN THIS MODEL ***

Table of Contents

Highest Primary Stress Ratios


Pl (1.5)(S) Primary Membrane Load Case 1107 207 Plot Reference:MPa MPa 1) Pl < (1.5)(S) (SUS,Membrane) Case 1

51%

Branch at Junction


64%

Branch Transition


9%

Pad Outer Edge Weld

Pl (1.5)(S) Primary Membrane Load Case 1



159 207 Plot Reference:MPa MPa 1) Pl < (1.5)(S) (SUS,Membrane) Case 1

76%



55%



12%

Table of Contents

Highest Secondary Stress Ratios


Pl+Pb+Q SPS Primary+Secondary (Inner) Load Case 3197 414 Plot Reference:MPa MPa 4) Pl+Pb+Q < SPS (OPE,Inside) Case 3

47%

Branch at Junction


36%

Branch Transition

Pl+Pb+Q SPS Primary+Secondary (Inner) Load Case 3



21 460 Plot Reference:MPa MPa 4) Pl+Pb+Q < SPS (OPE,Inside) Case 3

4%

Pad Outer Edge Weld


36%



26%


Pl+Pb+Q SPS Primary+Secondary (Outer) Load Case 327 460 Plot Reference:MPa MPa 5) Pl+Pb+Q < SPS (OPE,Outside) Case 3

5%

Table of Contents

Highest Fatigue Stress Ratios


Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Inner) Load Case 3133 0.000 Life Stress Concentration Factor = 1.350MPa 0.011 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 103,164.Allowable "B31" Fatigue Stress Allowable = 345.012,300.7 Markl Fatigue Stress Allowable = 1689.2MPa Plot Reference:6) Pl+Pb+Q+F < Sa (EXP,Inside) Case 31%



Branch at Junction


Branch Transition

Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Inner) Load Case 314 0.000 Life Stress Concentration Factor = 1.350MPa 0.001 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 1.0000E11Allowable "B31" Fatigue Stress Allowable = 295.012,300.7 Markl Fatigue Stress Allowable = 1689.2MPa Plot Reference:6) Pl+Pb+Q+F < Sa (EXP,Inside) Case 30%

Pad Outer Edge Weld



Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Inner) Load Case 355 0.000 Life Stress Concentration Factor = 1.000MPa 0.004 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 5.1152E9Allowable "B31" Fatigue Stress Allowable = 345.012,300.7 Markl Fatigue Stress Allowable = 1689.2MPa Plot Reference:6) Pl+Pb+Q+F < Sa (EXP,Inside) Case 3



0%


Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Outer) Load Case 313 0.000 Life Stress Concentration Factor = 1.000MPa 0.001 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 1.0000E11Allowable "B31" Fatigue Stress Allowable = 295.012,300.7 Markl Fatigue Stress Allowable = 1689.2MPa Plot Reference:7) Pl+Pb+Q+F < Sa (EXP,Outside) Case 30%

Table of Contents

Stress Intensification Factors

Branch/Nozzle Sif Summary

Peak Primary SecondaryAxial : 7.729 3.984 11.450Inplane : 1.820 1.182 2.696Outplane: 3.297 1.450 4.885Torsion : 0.958 0.978 1.419Pressure: 1.168 1.256 1.730

The above stress intensification factors are to be usedin a beam-type analysis of the piping system. Inplane,Outplane and Torsional sif's should be used with thematching branch pipe whose diameter and thickness is givenbelow. The axial sif should be used to intensify theaxial stress in the branch pipe calculated by F/A. Thepressure sif should be used to intensify the nominalpressure stress in the PARENT or HEADER, calculatedfrom PD/2T.

Pipe OD : 273.050 mm.Pipe Thk: 25.375 mm.Z approx: 1222515.625 cu.mm.Z exact : 1120546.375 cu.mm.

B31.3Peak Stress Sif .... 0.000 Axial6.049 Inplane7.724 Outplane1.000 Torsional



B31.1Peak Stress Sif .... 0.000 Axial7.724 Inplane7.724 Outplane7.724 TorsionalWRC 330Peak Stress Sif .... 0.000 Axial7.549 Inplane7.724 Outplane7.549 Torsional

Table of Contents

Allowable Loads

SECONDARY Maximum Conservative RealisticLoad Type (Range): Individual Simultaneous SimultaneousOccuring Occuring OccuringAxial Force ( N ) 713865. 144093. 216140.Inplane Moment (mm. N ) 182486960. 26046204. 55252344.Outplane Moment (mm. N ) 94965136. 13554290. 28752992.Torsional Moment (mm. N ) 363268288. 82344368. 123516552.Pressure (MPa ) 3.20 1.69 1.69

PRIMARY Maximum Conservative RealisticLoad Type: Individual Simultaneous SimultaneousOccuring Occuring OccuringAxial Force ( N ) 1025806. 79623. 119434.Inplane Moment (mm. N ) 167732816. 13691019. 29043038.Outplane Moment (mm. N ) 159467760. 8780184. 18625582.Torsional Moment (mm. N ) 202788432. 24164046. 36246068.Pressure (MPa ) 2.20 1.69 1.69

NOTES:

1) Maximum Individual Occuring Loads are the maximumallowed values of the respective loads if all otherload components are zero, i.e. the listed axial forcemay be applied if the inplane, outplane and torsionalmoments, and the pressure are zero.

2) The Conservative Allowable Simultaneous loads arethe maximum loads that can be applied simultaneously.A conservative stress combination equation is usedthat typically produces stresses within 50-70% of theallowable stress.



3) The Realistic Allowable Simultaneous loads are themaximum loads that can be applied simultaneously. Amore realistic stress combination equation is usedbased on experience at Paulin Research. Stresses aretypically produced within 80-105% of the allowable.

4) Secondary allowable loads are limits for expansionand operating piping loads.

5) Primary allowable loads are limits for weight,primary and sustained type piping loads.

Table of Contents

Flexibilities

The following stiffnesses should be used in a piping,"beam-type" analysis of the intersection. The stiff-nesses should be inserted at the surface of thebranch/header or nozzle/vessel junction. The generalcharacteristics used for the branch pipe should be:

Outside Diameter = 273.050 mm.Wall Thickness = 25.375 mm.

Axial Translational Stiffness = 288457. N /mm.Inplane Rotational Stiffness = 374545568. mm. N /degOutplane Rotational Stiffness = 174435664. mm. N /degTorsional Rotational Stiffness = 2603073280. mm. N /deg

Table of Contents



Finite Element Model

Finite Element Model•

Elements at Discontinuity

1) Pl < (1.5)(S) (SUS Membrane) Case 1• 2) Qb < SPS (SUS Bending) Case 1• 3) S1+S2+S3 < 4S (SUS S1+S2+S3) Case 1• 4) Pl+Pb+Q < SPS (OPE Inside) Case 3• 5) Pl+Pb+Q < SPS (OPE Outside) Case 3• 6) Pl+Pb+Q+F < Sa (EXP Inside) Case 3• 7) Pl+Pb+Q+F < Sa (EXP Outside) Case 3• 8) Pl+Pb+Q+F < Sa (SIF Outside) Case 4• 9) Pl+Pb+Q+F < Sa (SIF Outside) Case 5• 10) Pl+Pb+Q+F < Sa (SIF Outside) Case 6• 11) Pl+Pb+Q+F < Sa (SIF Outside) Case 7• 12) Pl+Pb+Q+F < Sa (SIF Outside) Case 8•

Tabular Results

















Mixer Nozzle (A1)


tw(lower) = 28 mmLeg41 = 28 mmtw(upper) = 28 mmLeg42 = 28 mmDp = 1,586 mmte = 28 mm


Located on: Shell-2Liquid static head included: 1.7733 kPaNozzle material specification: SA-516 70 (II-D Metric p. 18, ln. 19) (normalized)Nozzle longitudinal joint efficiency: 1Pad material specification: SA-516 70 (II-D Metric p. 18, ln. 19) (normalized)Pad diameter: 1,586 mmNozzle orientation: 0°Local vessel minimum thickness: 28 mmNozzle center line offset to datum line: 1,500 mmEnd of nozzle to shell center: 2,038 mmNozzle inside diameter, new: 960 mmNozzle nominal wall thickness: 28 mmNozzle corrosion allowance: 3.2 mmProjection available outside vessel, Lpr: 123.7 mmProjection available outside vessel to flange face, Lf: 181 mmPad is split: YesPad butt welds tested to confirm full penetration: YesPad butt welds located at least 45° from long seam: NoPad joint efficiency: 1




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




(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

219.1347 219.1457 20.529 23.3367 -- 159.6 15.68 11.53 28


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

2,755,299 2,740,911 8,446,848 599,984 11,626,752 2,910,656 8,758,643











LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(966.4, 483.2 + (28 - 3.2) + (28 - 3.2))= 966.4 mm




LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(28 - 3.2), 2.5*(28 - 3.2) + 28)= 62 mm


trn = P*Rn / (Sn*E - 0.6*P)= 1,695.3048*483.2 / (138,000*1 - 0.6*1,695.3048)= 5.98 mm


tr = P*R / (S*E - 0.6*P)= 1,695.3048*1,832.2 / (138,000*1 - 0.6*1,695.3048)= 22.68 mm







A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (966.4*22.68*1 + 2*24.8*22.68*1*(1 - 1)) / 100= 219.1347 cm2







= (2*(24.8 + 24.8)*(1*24.8 - 1*22.68) - 2*24.8*(1*24.8 - 1*22.68)*(1 - 1)) / 100= 2.1071 cm2


= 5*(tn - trn)*fr2*t= (5*(24.8 - 5.98)*1*24.8) / 100= 23.3367 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(24.8 - 5.98)*(2.5*24.8 + 28)*1) / 100= 33.8767 cm2

A41 = Leg2*fr3= (282*1) / 100= 7.84 cm2

A42 = Leg2*fr4= (282*1) / 100= 7.84 cm2

A5 = (Dp - d - 2*tn)*te*fr4*Ep= ((1,586 - 966.4 - 2*24.8)*28*1*1) / 100= 159.6 cm2

Area = A1 + A2 + A41 + A42 + A5= 20.529 + 23.3367 + 7.84 + 7.84 + 159.6= 219.1457 cm2









ta UG-22 = 6.58 mm




tb = min[ tb3 , tb1 ]= min[ 11.53 , 25.88 ]= 11.53 mm






(1) Inner fillet weld in shear(π / 2)*Nozzle OD*Leg*Si = (π / 2)*1,016*28*67.62 = 3,021,668.69 N




(π / 2)*Pad OD*Leg*So = (π / 2)*1,586*28*67.62 = 4,716,896.2 N


(4) Groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*1,016*24.8*102.12 = 4,041,747.03 N

(6) Upper groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*1,016*28*102.12 = 4,563,336.38 N


W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv= (21,913.47 - 2,052.8991 + 2*24.8*1*(1*24.8 - 1*22.68))*138= 2,755,298.88 N

W1-1 = (A2 + A5 + A41 + A42)*Sv= (2,333.6728 + 15,960 + 783.9984 + 783.9984)*138= 2,740,910.81 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (2,333.6728 + 0 + 783.9984 + 0 + 2*24.8*24.8*1)*138= 599,984.27 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv= (2,333.6728 + 0 + 15,960 + 783.9984 + 783.9984 + 0 + 2*24.8*24.8*1)*138= 2,910,656.39 N



Load for path 1-1 lesser of W or W1-1 = 2,740,910.81 NPath 1-1 through (2) & (3) = 4,716,896.2 + 3,729,951.7 = 8,446,847.9 NPath 1-1 is stronger than W1-1 so it is acceptable per UG-41(b)(1).



Applied Loads

Radial load: Pr = 46,806 NCircumferential moment: Mc = 30,580 N-mCircumferential shear: Vc = 46,806 NLongitudinal moment: ML = 30,580 N-mLongitudinal shear: VL = 46,806 NTorsion moment: Mt = 30,580 N-mInternal pressure: P = 1,695.3kPaMean shell radius: Rm = 1,844.6mmLocal shell thickness: t = 24.8 mmShell yield stress: Sy = 237 MPa




Rm / t = 1,844.6 / 24.8 = 74.3802

Pressure stress intensity factor, I = 1 (user defined)

Local circumferential pressure stress = I*P*Ri / t =125.25 MPa

Local longitudinal pressure stress = I*P*Ri / (2*t) =62.625 MPa


b) = 176.75 MPa


b) = +-1.5*S = +-207 MPa


b) is within allowable limits.


Allowable local primary membrane (PL) = +-1.5*S = +-207 MPa

The maximum local primary membrane stress (PL) is within allowable limits.


Figure value β Au Al Bu Bl Cu Cl Du Dl3C* 1.7615 0.3762 0 0 0 0 -1.8 -1.8 -1.8 -1.8

4C* 5.2051 0.3762 -5.323 -5.323 -5.323 -5.323 0 0 0 0

1C 0.0679 0.3762 0 0 0 0 -31.006 31.006 -31.006 31.006

2C-1 0.0063 0.3762 -2.875 2.875 -2.875 2.875 0 0 0 0

3A* 1.5914 0.3762 0 0 0 0 -1.531 -1.531 1.531 1.531

1A 0.0554 0.3762 0 0 0 0 -23.821 23.821 23.821 -23.821

3B* 2.9749 0.3762 -2.868 -2.868 2.868 2.868 0 0 0 0

1B-1 0.0075 0.3762 -3.227 3.227 3.227 -3.227 0 0 0 0

Pressure stress* 125.25 125.25 125.25 125.25 125.25 125.25 125.25 125.25

Total circumferential stress 110.957 123.161 123.147 122.444 67.093 176.747 117.797 132.166

Primary membranecircumferential stress* 117.059 117.059 122.796 122.796 121.92 121.92 124.981 124.981

3C* 1.7615 0.3762 -1.8 -1.8 -1.8 -1.8 0 0 0 0

4C* 5.2051 0.3762 0 0 0 0 -5.323 -5.323 -5.323 -5.323

1C-1 0.0155 0.3762 -7.081 7.081 -7.081 7.081 0 0 0 0

2C 0.03 0.3762 0 0 0 0 -13.7 13.7 -13.7 13.7

4A* 6.6497 0.3762 0 0 0 0 -6.405 -6.405 6.405 6.405

2A 0.0218 0.3762 0 0 0 0 -9.37 9.37 9.37 -9.37

4B* 1.6674 0.3762 -1.606 -1.606 1.606 1.606 0 0 0 0

2B-1 0.015 0.3762 -6.447 6.447 6.447 -6.447 0 0 0 0

Pressure stress* 62.625 62.625 62.625 62.625 62.625 62.625 62.625 62.625



Total longitudinal stress 45.692 72.747 61.798 63.066 27.827 73.967 59.378 68.037

Primary membranelongitudinal stress* 59.219 59.219 62.432 62.432 50.897 50.897 63.708 63.708

Shear from Mt 0.31 0.31 0.31 0.31 0.31 0.31 0.31 0.31

Circ shear from Vc 0.758 0.758 -0.758 -0.758 0 0 0 0

Long shear from VL 0 0 0 0 -0.758 -0.758 0.758 0.758

Total Shear stress 1.069 1.069 -0.448 -0.448 -0.448 -0.448 1.069 1.069

Combined stress (PL+Pb) 110.978 123.182 123.147 122.444 67.1 176.747 117.818 132.186



Note: * denotes primary stress.


Rm / t = 1,844.6 / 52.8 = 34.9359





b) = 140.46 MPa


b) = +-1.5*S = +-207 MPa


b) is within allowable limits.






4C* 4.5378 0.241 -2.179 -2.179 -2.179 -2.179 0 0 0 0

1C 0.0635 0.241 0 0 0 0 -6.398 6.398 -6.398 6.398

2C-1 0.0298 0.241 -2.999 2.999 -2.999 2.999 0 0 0 0

3A* 1.4236 0.241 0 0 0 0 -1.007 -1.007 1.007 1.007

1A 0.075 0.241 0 0 0 0 -11.107 11.107 11.107 -11.107

3B* 3.3259 0.241 -2.351 -2.351 2.351 2.351 0 0 0 0

1B-1 0.0228 0.241 -3.378 3.378 3.378 -3.378 0 0 0 0

Pressure stress* 125.25 125.25 125.25 125.25 125.25 125.25 125.25 125.25

Total circumferentialstress 114.343 127.098 125.802 125.043 105.448 140.46 129.677 120.258


3C* 2.684 0.241 -1.289 -1.289 -1.289 -1.289 0 0 0 0

4C* 4.5378 0.241 0 0 0 0 -2.179 -2.179 -2.179 -2.179

1C-1 0.0607 0.241 -6.116 6.116 -6.116 6.116 0 0 0 0

2C 0.0339 0.241 0 0 0 0 -3.413 3.413 -3.413 3.413

4A* 2.9487 0.241 0 0 0 0 -2.082 -2.082 2.082 2.082

2A 0.0363 0.241 0 0 0 0 -5.378 5.378 5.378 -5.378

4B* 1.4271 0.241 -1.007 -1.007 1.007 1.007 0 0 0 0



2B-1 0.0387 0.241 -5.73 5.73 5.73 -5.73 0 0 0 0

Pressure stress* 62.625 62.625 62.625 62.625 62.625 62.625 62.625 62.625



Shear from Mt 0.359 0.359 0.359 0.359 0.359 0.359 0.359 0.359




Combined stress (PL+Pb) 114.356 127.112 125.802 125.043 105.448 140.46 129.69 120.272




2)) + M*Ro / I= 1,695.3 / 1000*483.2 / (2*24.8) - 46,806 / (π*(5082 - 483.22)) + 4.3247E+07*508 / 9.4899E+09= 18.225 MPa


Shear stress in the nozzle wall due to external loads

σshear = (VL2 + Vc

2)0.5 / (π*Ri*tn)= (46,8062 + 46,8062)0.5 / (π*483.2*24.8)= 1.758 MPa

σtorsion = Mt / (2*π*Ri2*tn)

= 30,580 / (2*π*483.22*24.8)= 0.841 MPa

σtotal = σshear + σtorsion= 1.758 + 0.841= 2.599 MPa

UG-45: The total combined shear stress (2.599 MPa) is below than the allowable (0.7*Sn = 0.7*138 = 96.6MPa)


EFE = (50*t / Rf)*(1 - Rf / Ro)= (50*28 / 494)*(1 - 494 / ∞)= 2.834%









(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

237.1003 237.105 31.6999 30.1251 -- 159.6 15.68 8.33 28


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

2,860,043 2,834,590 8,914,602 740,302 12,148,341 3,050,974 9,280,233









LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(960, 480 + (28 - 0) + (28 - 0))= 960 mm


LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(28 - 0), 2.5*(28 - 0) + 28)= 70 mm




trn = P*Rn / (Sn*E - 0.6*P)= 1,848.5096*480 / (138,000*1 - 0.6*1,848.5096)= 6.48 mm


tr = P*R / (S*E - 0.6*P)= 1,848.5096*1,829 / (138,000*1 - 0.6*1,848.5096)= 24.7 mm







A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (960*24.7*1 + 2*28*24.7*1*(1 - 1)) / 100= 237.1003 cm2



= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (960*(1*28 - 1*24.7) - 2*28*(1*28 - 1*24.7)*(1 - 1)) / 100= 31.6999 cm2

= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(28 + 28)*(1*28 - 1*24.7) - 2*28*(1*28 - 1*24.7)*(1 - 1)) / 100= 3.6981 cm2




= 5*(tn - trn)*fr2*t= (5*(28 - 6.48)*1*28) / 100= 30.1251 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(28 - 6.48)*(2.5*28 + 28)*1) / 100= 42.1754 cm2

A41 = Leg2*fr3= (282*1) / 100= 7.84 cm2

A42 = Leg2*fr4= (282*1) / 100= 7.84 cm2

A5 = (Dp - d - 2*tn)*te*fr4*Ep= ((1,586 - 960 - 2*28)*28*1*1) / 100= 159.6 cm2

Area = A1 + A2 + A41 + A42 + A5= 31.6999 + 30.1251 + 7.84 + 7.84 + 159.6= 237.105 cm2






ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 1,848.5096*480 / (138,000*1 - 0.6*1,848.5096) + 0



= 6.48 mm

ta UG-22 = 3.66 mm




tb = min[ tb3 , tb1 ]= min[ 8.33 , 24.7 ]= 8.33 mm






(1) Inner fillet weld in shear(π / 2)*Nozzle OD*Leg*Si = (π / 2)*1,016*28*67.62 = 3,021,668.69 N


(3) Nozzle wall in shear(π / 2)*Mean nozzle dia*tn*Sn = (π / 2)*988*28*96.6 = 4,197,706.22 N



(4) Groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*1,016*28*102.12 = 4,563,336.38 N

(6) Upper groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*1,016*28*102.12 = 4,563,336.38 N


W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv= (23,710.03 - 3,169.9937 + 2*28*1*(1*28 - 1*24.7))*138= 2,860,043.2 N

W1-1 = (A2 + A5 + A41 + A42)*Sv= (3,012.5101 + 15,960 + 783.9984 + 783.9984)*138= 2,834,590.37 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (3,012.5101 + 0 + 783.9984 + 0 + 2*28*28*1)*138= 740,302.29 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv= (3,012.5101 + 0 + 15,960 + 783.9984 + 783.9984 + 0 + 2*28*28*1)*138= 3,050,974.41 N










(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

119.8315 199.9593 0.0006 24.6787 -- 159.6 15.68 11.53 28











LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(966.4, 483.2 + (28 - 3.2) + (28 - 3.2))= 966.4 mm




LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(28 - 3.2), 2.5*(28 - 3.2) + 28)= 62 mm









A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))= (0.5*(966.4*24.8*1 + 2*24.8*24.8*1*(1 - 1))) / 100= 119.8315 cm2









= (5*(24.8 - 4.9)*1*24.8) / 100= 24.6787 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(24.8 - 4.9)*(2.5*24.8 + 28)*1) / 100= 35.8238 cm2

A41 = Leg2*fr3= (282*1) / 100= 7.84 cm2

A42 = Leg2*fr4= (282*1) / 100= 7.84 cm2

A5 = (Dp - d - 2*tn)*te*fr4*Ep= ((1,586 - 966.4 - 2*24.8)*28*1*1) / 100= 159.6 cm2

Area = A1 + A2 + A41 + A42 + A5= 0.0006 + 24.6787 + 7.84 + 7.84 + 159.6= 199.9593 cm2






ta UG-28 = 8.1 mm

ta UG-22 = 4.91 mm






tb = min[ tb3 , tb2 ]= min[ 11.53 , 12.04 ]= 11.53 mm





L / Do = 251.84 / 1,016 = 0.2479Do / t = 1,016 / 4.9 = 207.4625From table G: A = 0.002034From table CS-2Metric: B = 103.3636 MPa

Pa = 4*B / (3*(Do / t))= 4*103,363.56 / (3*(1,016 / 4.9))= 664.3 kPa


ta = t + Corrosion = 4.9 + 3.2 = 8.1mm



Tabular Results



Model Notes• Load Case Report• WRC 107/297 Stresses• Region Data• ASME Overstressed Areas• Highest Primary Stress Ratios• Highest Secondary Stress Ratios• Highest Fatigue Stress Ratios• Highest Occasional Stress Ratios• Stress Intensification Factors• Allowable Loads• Graphical Results•

Model Notes

Input Echo:




Nozzle Outside Diameter : 1016.000 mm.



Thickness : 24.800 mm.Length : 193.400 mm.Nozzle Weld Length : 28.000 mm.RePad Width : 285.000 mm.RePad Thickness : 28.000 mm.Nozzle Tilt Angle : 0.000 deg.Distance from Top : 1010.000 mm.Distance from Bottom : 1450.000 mm.




Nozzle Inside Temperature : 110.00 deg.Nozzle Outside Temperature : 110.00 deg.Vessel Inside Temperature : 110.00 deg.Vessel Outside Temperature : 110.00 deg.Nozzle Pressure : -0.103 MPaVessel Pressure : -0.103 MPa

FEA Model Loads:These are the user defined loads applied to the FEA modelat the end of the nozzle in global coordinates.

Forces( N ) Moments (N-m)

Load Case FX FY FZ MX MY MZ---------------------------------------------------------------------------WEIGHT: 46806.0 -46806.0 46806.0 31317.0 31317.0 -30580.0OPER: 46806.0 -46806.0 46806.0 31317.0 31317.0 -30580.0OCC: 46806.0 -46806.0 46806.0 31317.0 31317.0 -30580.0THERMAL: 46806.0 -46806.0 46806.0 31317.0 31317.0 -30580.0







The cylinder length or nozzle/branch location was adjustedso that a better mesh could be generated at each end of thecylinder. The nozzle is now located 1018.88 mm.down the length of the cylinder and the total cylinder lengthis 2460.00 mm.


Table of Contents



1 WEIGHT ONLY

Weight ONLY case run to get the stress rangebetween the installed and the operating states.

/-------- Loads in Case 1Loads due to Weight

2 SUSTAINED


/-------- Loads in Case 2Loads due to WeightPressure Case 1



3 Thermal ONLY


/-------- Loads in Case 3Temperature Case 1Loads from (Thermal Only)

4 OPERATING


/-------- Loads in Case 4Pressure Case 1Temperature Case 1Loads from (Operating)

5 EXPANSION (Fatigue Calc Performed)

Expansion case run to get the RANGE of stresses.as described in NB-3222.2, 5.5.3.2, or 5.5.5.2.

/-------- Combinations in Expansion Case 5Plus Stress Results from CASE 4Minus Stress Results from CASE 1

6 OCCASIONAL

Occasional load case established per therequirements of the Code.

/-------- Loads in Case 6Loads due to WeightPressure Case 1Loads from (Occasional)













Table of Contents

WRC 107/297 Stresses1 WRC297 15 12 3 3 21 16 7 71 WRC107 12 9 3 0 19 16 7 7

2 WRC297 31 28 16 14 42 27 15 92 WRC107 8 11 6 11 18 10 8 14

3 WRC297 15 12 3 3 21 16 7 73 WRC107 12 9 3 0 19 16 7 7

4 WRC297 30 27 15 13 40 26 13 94 WRC107 9 12 6 10 18 11 8 13

6 WRC297 46 38 14 12 62 44 6 106 WRC107 20 18 9 11 36 27 17 20

7 WRC297 240951 176508 240951 176508 240951 176508 240951 1765087 WRC107 182857 122684 182857 122684 196946 132683 196946 132683

8 WRC297 299 233 299 233 0 0 0 08 WRC107 254 159 254 159 0 0 0 0

9 WRC297 0 0 0 0 516 406 516 4069 WRC107 0 0 0 0 470 401 470 401

10 WRC297 28 28 28 28 28 28 28 28



10 WRC107 28 28 28 28 28 28 28 28

11 WRC297 16 17 16 17 20 11 20 1111 WRC107 7 10 7 10 2 6 2 6

Table of Contents

Region Data

Pad/Header at Junction

Cold Allowable ........... 75. MPaHot Allowable @ 110 deg .. 75. MPaCase 2Nominal Stress (M/Z) ... 8. MPaPressure Stress (Pd/2t) .. -8. MPaCase 4Nominal Stress (M/Z) ... 8. MPaPressure Stress (Pd/2t) .. -8. MPaCase 5Nominal Stress (M/Z) ... 16. MPaPressure Stress (Pd/2t) .. -8. MPaCase 6Nominal Stress (M/Z) ... 16. MPaPressure Stress (Pd/2t) .. -8. MPaCase 7Nominal Stress (M/Z) ... 17951. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 74. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 74. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 74. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 24.800 mm.Stress Concentration ..... 1.350

Branch at Junction

Cold Allowable ........... 121. MPaHot Allowable @ 110 deg .. 121. MPaCase 2Nominal Stress (M/Z) ... 8. MPaPressure Stress (Pd/2t) .. -8. MPaCase 4



Nominal Stress (M/Z) ... 8. MPaPressure Stress (Pd/2t) .. -8. MPaCase 5Nominal Stress (M/Z) ... 16. MPaPressure Stress (Pd/2t) .. -8. MPaCase 6Nominal Stress (M/Z) ... 16. MPaPressure Stress (Pd/2t) .. -8. MPaCase 7Nominal Stress (M/Z) ... 17951. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 74. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 74. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 74. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 24.800 mm.Stress Concentration ..... 1.350

Table of Contents



Table of Contents



Pl (1.5)(S) Primary Membrane Load Case 253 112MPa MPa

47%

Branch at Junction




58%

Table of Contents



Pl+Pb+Q SPS Primary+Secondary (Inner) Load Case 4101 224MPa MPa

45%

Branch at Junction

Pl+Pb+Q SPS Primary+Secondary (Inner) Load Case 4206 363MPa MPa

56%

Table of Contents



Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Inner) Load Case 532 0.000 Life Stress Concentration Factor = 1.350MPa 0.113 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 1.0000E11Allowable "B31" Fatigue Stress Allowable = 186.5287.1 Markl Fatigue Stress Allowable = 287.5MPa

Branch at Junction

Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Inner) Load Case 5



45 0.000 Life Stress Concentration Factor = 1.350MPa 0.156 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 1.0000E11Allowable "B31" Fatigue Stress Allowable = 302.5287.1 Markl Fatigue Stress Allowable = 287.5MPa

Table of Contents

Highest Occasional Stress Ratios



70%

Qb 3(Smh) Primary Bending Load Case 678 224MPa MPa

35%

Branch at Junction


96%

Qb 3(Smh) Primary Bending Load Case 6175 363MPa MPa

48%

Table of Contents








B31.3Peak Stress Sif .... 0.000 Axial5.912 Inplane7.549 Outplane1.000 TorsionalB31.1Peak Stress Sif .... 0.000 Axial7.549 Inplane7.549 Outplane7.549 TorsionalWRC 330Peak Stress Sif .... 0.000 Axial7.549 Inplane7.549 Outplane7.549 Torsional

Table of Contents

Allowable Loads

SECONDARY Maximum Conservative RealisticLoad Type (Range): Individual Simultaneous SimultaneousOccuring Occuring OccuringAxial Force ( N ) 392441. 105774. 158661.Inplane Moment (mm. N ) 274833248. 52379152. 111112960.Outplane Moment (mm. N ) 143963744. 27437360. 58203428.



Torsional Moment (mm. N ) 7400160768. 1994551808. 2991827712.Pressure (MPa ) 0.46 0.10 0.10


NOTES:






Table of Contents



Geometry

Geometry•

Tabular Results





A1 Mixer Nozzle Cover

ASME VIII-1, 2010 Edition, A11 Addenda Metric, Appendix 2 Flange Calculations

Flange is attached to: Mixer Nozzle (A1)Flange type: Weld neck integralFlange material specification: SA-105 (II-D Metric p. 18, ln. 5)

Bolt material specification: SA-193 B7 Bolt <= 64 (II-D Metric p.334, ln. 32)

Bolt Description: 1 in Series 8 ThreadInternal design pressure, P: 1,685 kPa @ 110 °CRequired flange thickness: tr= 35.86 mmMaximum allowable workingpressure, MAWP: 2,525.56 kPa @ 110 °C (bolting limits)

Maximum allowable pressure, MAP: 2,525.56 kPa @ 40 °C (bolting limits)External design pressure, Pe 103.42 kPa @ 50 °CMaximum allowable externalpressure, MAEP: 6,195.29 kPa @ 50 °C

Corrosion allowance: Bore = 3.2 mm Flange = 0 mmBolt corrosion (root), Cbolt: 0 mmDesign MDMT: -5 °C No impact test performedRated MDMT: -19 °C Flange material is normalized

Material is produced to fine grainpracticePWHT is not performed

Estimated weight: New = 217.27 kg corroded = 207.47 kg

Flange dimensions, new

flange OD A = 1,175 mmbolt circle C = 1,120.8 mmgasket OD = 1,095 mmgasket ID = 1,016 mmflange ID B = 965.2 mmthickness t = 57.3 mmbolting = 44- 1 in diahub thickness g1 = 41.9 mmhub thickness g0 = 25.4 mm



hub length h = 71.2 mmlength e = 128.5 mmgasket factor m = 3seating stress y = 68.948 MPaGasket thickness T = 4.45 mm

gasket descriptionFlexitallic SpiralWound CG 316S.S.

Note: this flange is calculated as an integral type.

Determination of Flange MDMT

UCS-66(b)(1)(b) has been applied.Flange impact test exemption temperature from Fig UCS-66M Curve C = -19 °CUCS-66 governing thickness = 25.4 mmBolts rated MDMT per Fig UCS-66 note (c) = -48 °C

The rated flange MDMT is -19 °C

Flange calculations for Internal Pressure + Wind





b0 = (w + T)/2 = 8.57 mm


G = gasket OD - 2*b = 1,095 - 2*7.32 = 1,080.36 mm

hG = (C - G)/2 = (1,120.8 - 1,080.36)/2 = 20.22 mm

hD = R + g1/2 = 35.9 + 38.7/2 = 55.25 mm

hT = (R + g1 + hG)/2 = (35.9 + 38.7 + 20.22)/2 = 47.41 mm

Hp = 2*b*3.14*G*m*P= 2*7.32*3.14*1,080.36*3*1.685= 251,059.6 N

H = 0.785*G2*P= 0.785*1,080.362*1.685= 1,543,853.76 N

HD = 0.785*B2*P= 0.785*971.62*1.685= 1,248,663.29 N

HT = H - HD= 1,543,853.76 - 1,248,663.29= 295,190.47 N

Wm1 = H + Hp= 1,543,853.76 + 251,059.6= 1,794,913.36 N

Wm2 = 3.14*b*G*y= 3.14*7.32*1,080.36*68.9476= 1,712,161.13 N


Am1 = Wm1/Sb = 1,794,913.36/(100*172) = 104.3554 cm2

Am2 = Wm2/Sa = 1,712,161.13/(100*172) = 99.5442 cm2

Total area for 44- 1 in dia bolts, corroded, Ab = 156.4126 cm2

W = (Am + Ab)*Sa/2



= (10,435.54 + 15,641.26)*172/2= 2,242,605.14 N

MD = HD*hD = 1,248,663.29*0.0553 = 68,988.4 N-mMT = HT*hT = 295,190.47*0.0474 = 13,995 N-m

HG = Wm1 - H = 1,794,913.36 - 1,543,853.76 = 251,059.6 N

MG = HG*hG = 251,059.6*0.0202 = 5,076.5 N-m

Mo = MD + MT + MG = 68,988.4 + 13,995 + 5,076.5 = 88,059.8 N-m

Mg = W*hG = 2,242,605.14*0.0202 = 45,346.1 N-m


h0 = (B*g0)1/2 = (971.6*22.2)1/2 = 146.86 mm

From FIG. 2-7.1, where K = A/B = 1,175/971.6 = 1.2093T = 1.8352 Z = 5.3242 Y = 10.3215 U = 11.3422

h/h0 = 0.4848 g1/g0 = 1.7433

F = 0.8376 V = 0.2664 e = F/h0 = 0.057

d = (U/V)*h0*g02= (11.3422/0.2664)*14.6864*2.222

= 3,081.0044 cm3


f = 1

L = (t*e + 1)/T + t3/d= (5.73*0.057 + 1)/1.8352 + 5.733/3,081.0044= 0.784

SH = f*Mo/(L*g12*B)

= 1e3*1*88,059.8/(0.784*38.72*971.6)= 77.185 MPa

SR = (1.33*t*e + 1)*Mo/(L*t2*B)= (1.33*57.3*0.0057 + 1)*1e3*88,059.8/(0.784*57.32*971.6)= 50.511 MPa

ST = Y*Mo/(t2*B) - Z*SR= 1e3*10.3215*88,059.8/(57.32*971.6) - 5.3242*50.511= 15.988 MPa




ST does not exceed SfoSH does not exceed Min[ 1.5*Sfo, 2.5*Sno ] = 207 MPaSR does not exceed Sfo0.5(SH + SR) = 63.848 MPa does not exceed Sfo0.5(SH + ST) = 46.587 MPa does not exceed Sfo


SH = f*Mg/(L*g12*B)

= 1e3*1*45,346.1/(0.784*38.72*971.6)= 39.746 MPa

SR = (1.33*t*e + 1)*Mg/(L*t2*B)= (1.33*57.3*0.0057 + 1)*1e3*45,346.1/(0.784*57.32*971.6)= 26.011 MPa

ST = Y*Mg/(t2*B) - Z*SR= 10.3215*1e3*45,346.1/(57.32*971.6) - 5.3242*26.011= 8.233 MPa




J = 52.14*V*Mo/(L*E*g02*KI*h0)

= 1e3*52.14*0.2664*88,059.8/(0.784*196.4E+03*22.22*0.3*146.86)= 0.3659


Flange calculations for External Pressure + Wind per VIII-1, Appendix 2-11





b0 = (w + T)/2 = 8.57 mm


G = gasket OD - 2*b = 1,095 - 2*7.32 = 1,080.36 mm

hG = (C - G)/2 = (1,120.8 - 1,080.36)/2 = 20.22 mm

hD = R + g1/2 = 35.9 + 38.7/2 = 55.25 mm

hT = (R + g1 + hG)/2 = (35.9 + 38.7 + 20.22)/2 = 47.41 mm

Hp = 2*b*3.14*G*m*P= 2*7.32*3.14*1,080.36*3*0.1034= 15,409.45 N

H = 0.785*G2*P= 0.785*1,080.362*0.1034= 94,758.13 N

HD = 0.785*B2*P= 0.785*971.62*0.1034= 76,640.03 N

HT = H - HD= 94,758.13 - 76,640.03= 18,118.1 N

Wm1 = H + Hp= 94,758.13 + 15,409.45= 110,167.58 N

Wm2 = 3.14*b*G*y= 3.14*7.32*1,080.36*68.9476= 1,712,161.13 N


Am1 = 0.785*G2*(Pm - Pr)/Sb = 0/(100*172) = 0 cm2

Am2 = Wm2/Sa = 1,712,161.13/(100*172) = 99.5442 cm2

Total area for 44- 1 in dia bolts, corroded, Ab = 156.4126 cm2

W = (Am2 + Ab)*Sa/2



= (9,954.4238 + 15,641.26)*172/2= 2,201,229.03 N

Mo = HD*(hD - hG) + HT*(hT - hG)= 76,640.03*(0.0553 - 0.0202) + 18,118.1*(0.0474 - 0.0202)= 3,177.3 N-m

Mg = W*hG = 2,201,229.03*0.0202 = 44,509.5 N-m


h0 = (B*g0)1/2 = (971.6*22.2)1/2 = 146.86 mm

From FIG. 2-7.1, where K = A/B = 1,175/971.6 = 1.2093T = 1.8352 Z = 5.3242 Y = 10.3215 U = 11.3422

h/h0 = 0.4848 g1/g0 = 1.7433

F = 0.8376 V = 0.2664 e = F/h0 = 0.057

d = (U/V)*h0*g02= (11.3422/0.2664)*14.6864*2.222

= 3,081.0044 cm3


f = 1

L = (t*e + 1)/T + t3/d= (5.73*0.057 + 1)/1.8352 + 5.733/3,081.0044= 0.784

SH = f*Mo/(L*g12*B)

= 1e3*1*3,177.3/(0.784*38.72*971.6)= 2.785 MPa

SR = (1.33*t*e + 1)*Mo/(L*t2*B)= (1.33*57.3*0.0057 + 1)*1e3*3,177.3/(0.784*57.32*971.6)= 1.822 MPa

ST = Y*Mo/(t2*B) - Z*SR= 1e3*10.3215*3,177.3/(57.32*971.6) - 5.3242*1.822= 0.577 MPa


ST does not exceed SfoSH does not exceed Min[ 1.5*Sfo, 2.5*Sno ] = 207 MPaSR does not exceed Sfo0.5(SH + SR) = 2.304 MPa does not exceed Sfo



0.5(SH + ST) = 1.681 MPa does not exceed Sfo


SH = f*Mg/(L*g12*B)

= 1e3*1*44,509.5/(0.784*38.72*971.6)= 39.013 MPa

SR = (1.33*t*e + 1)*Mg/(L*t2*B)= (1.33*57.3*0.0057 + 1)*1e3*44,509.5/(0.784*57.32*971.6)= 25.531 MPa

ST = Y*Mg/(t2*B) - Z*SR= 10.3215*1e3*44,509.5/(57.32*971.6) - 5.3242*25.531= 8.081 MPa




J = 52.14*V*Mo/(L*E*g02*KI*h0)

= 1e3*52.14*0.2664*44,509.5/(0.784*200.2E+03*22.22*0.3*146.86)= 0.1814


A1 Mixer Nozzle Cover - Flange hub


Component: Flange hubMaterial specification: SA-105 (II-D Metric p. 18, ln. 5)Material impact test exemption temperature from Fig UCS-66M Curve C = -19 °CUCS-66 governing thickness = 25.4 mm


Static liquid head:

Ps = 0 kPa (SG = 1, Hs = 0 mm,Operating head)

Pth = 5.2 kPa (SG = 1, Hs = 531 mm, Horizontal testhead)





Material is produced to Fine Grain PracticePWHT is not performed

Radiography: Longitudinal joint - Seamless No RTLeft circumferential joint - N/ARight circumferential joint - Full UW-11(a) Type 1

Estimated weight New = 43 kg corr = 37.8 kgCapacity New = 52.1 liters corr = 52.79 liters

OD = 1,016 mmLengthLc

= 71.2 mm

t = 25.4 mm

Design thickness, (at 110 °C) Appendix 1-1

t = P*Ro / (S*E + 0.40*P) + Corrosion= 1,685*508 / (138,000*1.00 + 0.40*1,685) + 3.2= 9.38 mm

Maximum allowable working pressure, (at 110 °C) Appendix 1-1

P = S*E*t / (Ro - 0.40*t) - Ps= 138,000*1.00*22.2 / (508 - 0.40*22.2) - 0= 6,137.89 kPa

Maximum allowable pressure, (at 40 °C) Appendix 1-1

P = S*E*t / (Ro - 0.40*t)= 138,000*1.00*25.4 / (508 - 0.40*25.4)= 7,040.82 kPa


L / Do = 71.2 / 1,016 = 0.0701Do / t = 1,016 / 1.04 = 980.1641From table G: A = 0.000764From table CS-2Metric: B = 76.0255 MPa

Pa = 4*B / (3*(Do / t))= 4*76,025.47 / (3*(1,016 / 1.04))= 103.42 kPa




ta = t + Corrosion = 1.04 + 3.2 = 4.24mm


L / Do = 71.2 / 1,016 = 0.0701Do / t = 1,016 / 22.2 = 45.7666From table G: A = 0.100000From table CS-2Metric: B = 121 MPa

Pa = 4*B / (3*(Do / t))= 4*121,000 / (3*(1,016 / 22.2))= 3,525.13 kPa



A1 Mixer Nozzle BLRF


Component: Bolted CoverAttached to: A1 Mixer Nozzle CoverMaterial specification: SA-105 (II-D Metric p. 18, ln. 5)Bolted cover is impact test exempt per UG-20(f)UCS-66 governing thickness = 25 mm.


Static liquid head:

Ps = 0 kPa (SG = 1, Hs = 0 mm, Operating head)

Pth = 3.43 kPa (SG = 1, Hs = 350 mm, Horizontal testhead)



Material is produced to Fine Grain PracticePWHT is not performed

Radiography: Category A joints - Seamless No RT

Estimated weight: New = 745.5 kg corr = 721.7 kg

Head diameter, d = 1,080.36 mmCover thickness, t = 100 mmDesign thickness, (at 110 °C) UG-34 (c)(2), flange operating

t = d*Sqr(C*P / (S*E) + 1.9*W*hG / (S*E*d3)) + Corrosion= 1,080.36*Sqr(0.3*1.69 / (138*1) + 1.9*1,794,913.36*20.22 / (138*1*1,080.363)) + 3.2= 72.03 mm

Design thickness, (at 40 °C) UG-34 (c)(2), gasket seating

t = d*Sqr(1.9*W*hG / (S*E*d3)) + Corrosion= 1,080.36*Sqr(1.9*2,242,605.14*20.22 / (138*1*1,080.363)) + 3.2= 27.24 mm

Maximum allowable working pressure, (at 110 °C )

P = (S*E / C)*((t / d)2 - (1.9*W*hG / (S*E*d3))) - Ps= (138*1000*1 / 0.3)*((96.8 / 1,080.36)2 - (1.9*3,549,779.55*20.22 / (138*1000*1*1,080.363))) - 0= 3,332.41 kPa



Maximum allowable pressure, (At 40 °C )

P = (S*E / C)*((t / d)2 - (1.9*W*hG / (S*E*d3)))= (138*1000*1 / 0.3)*((100 / 1,080.36)2 - (1.9*3,788,379.88*20.22 / (138*1000*1*1,080.363)))= 3,556.39 kPa

Design thickness for external pressure, (at 50 °C) U-2(g)

t = d*Sqr(C*Pa / (S*E)) + Corrosion= 1,080.36*Sqr(0.3*0.1 / (138*1)) + 3.2= 19.23 mm

Maximum allowable external pressure, (At 50 °C ) U-2(g)

Pa = (S*E / C)*(t / d)2

= (138*1000*1 / 0.3)*(96.8 / 1,080.36)2

= 3,692.91 kPa



Sight Glass (SG)


tw(lower) = 28 mmLeg41 = 14 mmLeg43 = 16 mmhnew = 16 mm


Located on: Shell-2Liquid static head included: 19.9693 kPaNozzle material specification: SA-516 70 (II-D Metric p. 18, ln. 19) (normalized)Nozzle longitudinal joint efficiency: 1Nozzle orientation: 270°Local vessel minimum thickness: 28 mmNozzle center line offset to datum line: 368.6 mmEnd of nozzle to shell center: 1,905.2 mmNozzle inside diameter, new: 161.03 mmNozzle nominal wall thickness: 44.9 mmNozzle corrosion allowance: 3.2 mmProjection available outside vessel, Lpr: 48.2 mmInternal projection, hnew: 16 mm




The vessel wall thickness governs the MAWP of this nozzle.




(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

41.5208 52.2277 -- 39.1064 9.8555 -- 3.2658 11.31 44.9


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


Weld description Required weldthroat size (mm)

Actual weldthroat size (mm) Status

Nozzle to shell fillet (Leg41) 6 9.8 weld size is adequate



Nozzle UCS-66 governing thk: 28 mmNozzle rated MDMT: -32.38 °CParallel Limit of reinforcement per UG-40






Inner Normal Limit of reinforcement per UG-40

LI = MIN(2.5*(t - C), 2.5*(ti - Cn - C))= MIN(2.5*(28 - 3.2), 2.5*(44.9 - 3.2 - 3.2))= 62 mm


trn = P*Rn / (Sn*E - 0.6*P)= 1,852.8272*83.71 / (138,000*1 - 0.6*1,852.8272)= 1.13 mm


tr = P*R / (S*E - 0.6*P)= 1,852.8272*1,832.2 / (138,000*1 - 0.6*1,852.8272)= 24.8 mm


Allowable stresses: Sn = 138, Sv = 138 MPa



A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (167.43*24.8*1 + 2*41.7*24.8*1*(1 - 1)) / 100= 41.5208 cm2



= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (167.43*(1*24.8 - 1*24.8) - 2*41.7*(1*24.8 - 1*24.8)*(1 - 1)) / 100= 0 cm2





= 2*(tn - trn)*fr2*Lpr= (2*(41.7 - 1.13)*1*48.2) / 100= 39.1064 cm2

= 2*(tn - trn)*fr2*Lpr= (2*(41.7 - 1.13)*1*48.2) / 100= 39.1064 cm2


= 5*t*ti*fr2= (5*24.8*38.5*1) / 100= 47.7382 cm2

= 5*ti*ti*fr2= (5*38.5*38.5*1) / 100= 74.1094 cm2

= 2*h*ti*fr2= (2*12.8*38.5*1) / 100= 9.8555 cm2

A41 = Leg2*fr2= (142*1) / 100= 1.96 cm2

A43 = Leg2*fr2= (11.432*1) / 100= 1.3058 cm2

Area = A1 + A2 + A3 + A41 + A43= 0 + 39.1064 + 9.8555 + 1.96 + 1.3058= 52.2277 cm2


UW-16(c) Weld Check

Fillet weld: tmin = lesser of 19 mm or tn or t = 19 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mm



tc(actual) = 0.7*Leg = 0.7*14 = 9.8 mm

The fillet weld size is satisfactory.

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




tb1 = P*R / (S*E - 0.6*P) + Corrosion= 1,852.8272*1,832.2 / (138,000*1 - 0.6*1,852.8272) + 3.2= 28 mm

tb1 = max[ tb1 , tb UG16 ]= max[ 28 , 4.7 ]= 28 mm

tb = min[ tb3 , tb1 ]= min[ 11.31 , 28 ]= 11.31 mm







The vessel wall thickness governs the MAP of this nozzle.




(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

45.0861 60.9847 0.0006 42.096 14.368 -- 4.52 8.11 44.9













LI = MIN(2.5*(t - C), 2.5*(ti - Cn - C))= MIN(2.5*(28 - 0), 2.5*(44.9 - 0 - 0))= 70 mm




trn = P*Rn / (Sn*E - 0.6*P)= 2,093.3572*80.51 / (138,000*1 - 0.6*2,093.3572)= 1.23 mm


tr = P*R / (S*E - 0.6*P)= 2,093.3572*1,829 / (138,000*1 - 0.6*2,093.3572)= 28 mm





A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (161.03*28*1 + 2*44.9*28*1*(1 - 1)) / 100= 45.0861 cm2



= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (161.03*(1*28 - 1*28) - 2*44.9*(1*28 - 1*28)*(1 - 1)) / 100= 0.0006 cm2

= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(28 + 44.9)*(1*28 - 1*28) - 2*44.9*(1*28 - 1*28)*(1 - 1)) / 100= 0.0006 cm2


= 2*(tn - trn)*fr2*Lpr= (2*(44.9 - 1.23)*1*48.2) / 100= 42.096 cm2



= 2*(tn - trn)*fr2*Lpr= (2*(44.9 - 1.23)*1*48.2) / 100= 42.096 cm2


= 5*t*ti*fr2= (5*28*44.9*1) / 100= 62.86 cm2

= 5*ti*ti*fr2= (5*44.9*44.9*1) / 100= 100.8005 cm2

= 2*h*ti*fr2= (2*16*44.9*1) / 100= 14.368 cm2

A41 = Leg2*fr2= (142*1) / 100= 1.96 cm2

A43 = Leg2*fr2= (162*1) / 100= 2.56 cm2

Area = A1 + A2 + A3 + A41 + A43= 0.0006 + 42.096 + 14.368 + 1.96 + 2.56= 60.9847 cm2


UW-16(c) Weld Check

Fillet weld: tmin = lesser of 19 mm or tn or t = 19 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mmtc(actual) = 0.7*Leg = 0.7*14 = 9.8 mm








tb1 = P*R / (S*E - 0.6*P) + Corrosion= 2,093.3572*1,829 / (138,000*1 - 0.6*2,093.3572) + 0= 28 mm


tb = min[ tb3 , tb1 ]= min[ 8.11 , 28 ]= 8.11 mm










(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

20.7604 52.1902 -- 39.069 9.8555 -- 3.2658 11.31 44.9


Weld strength calculations are not required forexternal pressure











LI = MIN(2.5*(t - C), 2.5*(ti - Cn - C))= MIN(2.5*(28 - 3.2), 2.5*(44.9 - 3.2 - 3.2))= 62 mm









A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))= (0.5*(167.43*24.8*1 + 2*41.7*24.8*1*(1 - 1))) / 100= 20.7604 cm2



= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (167.43*(1*24.8 - 1*24.8) - 2*41.7*(1*24.8 - 1*24.8)*(1 - 1)) / 100= 0 cm2



= 2*(tn - trn)*fr2*Lpr= (2*(41.7 - 1.17)*1*48.2) / 100= 39.069 cm2

= 2*(tn - trn)*fr2*Lpr= (2*(41.7 - 1.17)*1*48.2) / 100= 39.069 cm2


= 5*t*ti*fr2



= (5*24.8*38.5*1) / 100= 47.7382 cm2

= 5*ti*ti*fr2= (5*38.5*38.5*1) / 100= 74.1094 cm2

= 2*h*ti*fr2= (2*12.8*38.5*1) / 100= 9.8555 cm2

A41 = Leg2*fr2= (142*1) / 100= 1.96 cm2

A43 = Leg2*fr2= (11.432*1) / 100= 1.3058 cm2

Area = A1 + A2 + A3 + A41 + A43= 0 + 39.069 + 9.8555 + 1.96 + 1.3058= 52.1902 cm2


UW-16(c) Weld Check

Fillet weld: tmin = lesser of 19 mm or tn or t = 19 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mmtc(actual) = 0.7*Leg = 0.7*14 = 9.8 mm




ta UG-28 = 4.37 mm






tb = min[ tb3 , tb2 ]= min[ 11.31 , 12.04 ]= 11.31 mm






Pa = 4*B / (3*(Do / t))= 4*106,666.99 / (3*(250.83 / 1.17))= 664.3 kPa


ta = t + Corrosion = 1.17 + 3.2 = 4.37mm



ACCESS (M2)


tw(lower) = 28 mmLeg41 = 22 mmtw(upper) = 28 mmLeg42 = 22 mmDp = 1,161 mmte = 28 mm




Nozzle longitudinal joint efficiency: 1Nozzle description: NPS 18 Sch 100 DN 450Pad material specification: SA-516 70 (II-D Metric p. 18, ln. 19) (normalized)Pad diameter: 1,161 mmFlange description: NPS 18 Class 150 WN A105Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)Flange rated MDMT: -29°C(UCS-66(b)(1)(b))Liquid static head on flange: 34.2063 kPaASME B16.5-2009 flange rating MAWP: 1,732 kPa @ 110°CASME B16.5-2009 flange rating MAP: 1,925.07 kPa @ 40°CASME B16.5-2009 flange hydro test: 2,900 kPa @ 40°CGasket Description: Flexitallic Spiral Wound CG 316 S.S.PWHT performed: NoCircumferential joint radiography: Full UW-11(a) Type 1Nozzle orientation: 90°Local vessel minimum thickness: 28 mmNozzle center line offset to datum line: 1,207 mmEnd of nozzle to shell center: 1,803 mmOffset from center, Lo: 1,453 mm



Nozzle inside diameter, new: 398.48 mmNozzle nominal wall thickness: 29.36 mmNozzle corrosion allowance: 3.2 mmOpening chord length: 677.41 mmProjection available outside vessel, Lpr: 267.13 mmProjection available outside vessel to flange face, Lf: 406.83 mmPad is split: YesPad butt welds tested to confirm full penetration: YesPad butt welds located at least 45° from long seam: NoPad joint efficiency: 1




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




(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

157.5798 157.5857 12.0238 24.5832 -- 112 8.9787 11.53 29.36


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

2,019,756 2,008,754 4,176,136 549,485 4,785,826 2,161,878 4,531,780

















trn = P*Rn / (Sn*E - 0.6*P)= 1,719.7194*202.44 / (118,000*1 - 0.6*1,719.7194)= 2.98 mm


tr = P*R / (S*E - 0.6*P)= 1,719.7194*1,832.2 / (138,000*1 - 0.6*1,719.7194)= 23 mm







A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (677.41*23*1 + 2*26.16*23*1*(1 - 0.8551)) / 100= 157.5798 cm2



= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (677.41*(1*24.8 - 1*23) - 2*26.16*(1*24.8 - 1*23)*(1 - 0.8551)) / 100= 12.0238 cm2




= (2*(24.8 + 26.16)*(1*24.8 - 1*23) - 2*26.16*(1*24.8 - 1*23)*(1 - 0.8551)) / 100= 1.6935 cm2


= 5*(tn - trn)*fr2*t= (5*(26.16 - 2.98)*0.8551*24.8) / 100= 24.5832 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(26.16 - 2.98)*(2.5*26.16 + 28)*0.8551) / 100= 37.0361 cm2

A41 = Leg2*fr3= (222*0.8551) / 100= 4.1387 cm2

A42 = Leg2*fr4= (222*1) / 100= 4.84 cm2

A5 = (Dp - d - 2*tn)*te*fr4*Ep= ((1,161 - 761)*28*1*1) / 100= 112 cm2

Area = A1 + A2 + A41 + A42 + A5= 12.0238 + 24.5832 + 4.1387 + 4.84 + 112= 157.5857 cm2









ta UG-22 = 7.71 mm




tb = min[ tb3 , tb1 ]= min[ 11.53 , 26.21 ]= 11.53 mm










(π / 2)*Pad OD*Leg*So = (π / 2)*1,161*22*67.62 = 2,712,993.61 N





W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv= (15,757.98 - 1,202.3847 + 2*26.16*0.8551*(1*24.8 - 1*23))*138= 2,019,755.68 N

W1-1 = (A2 + A5 + A41 + A42)*Sv= (2,458.3177 + 11,200 + 413.8701 + 483.999)*138= 2,008,754.08 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (2,458.3177 + 0 + 413.8701 + 0 + 2*26.16*24.8*0.8551)*138= 549,485.41 N







Applied Loads

Radial load: Pr = 27,661 NCircumferential moment: Mc = 40,463 N-mCircumferential shear: Vc = 27,661 NLongitudinal moment: ML = 40,463 N-mLongitudinal shear: VL = 27,661 NTorsion moment: Mt = 40,463 N-mInternal pressure: P = 1,719.72kPaMean shell radius: Rm = 1,844.6 mmLocal shell thickness: t = 24.8 mmShell yield stress: Sy = 237 MPa




Rm / t = 1,844.6 / 24.8 = 74.3802





b+Q) = 203.8 MPa


b+Q) = +-3*S = +-414 MPa








4C* 8.8667 0.2033 -5.364 -5.364 -5.364 -5.364 0 0 0 0

1C 0.0679 0.2033 0 0 0 0 -18.326 18.326 -18.326 18.326

2C-1 0.0227 0.2033 -6.123 6.123 -6.123 6.123 0 0 0 0

3A* 2.7077 0.2033 0 0 0 0 -6.385 -6.385 6.385 6.385

1A 0.0642 0.2033 0 0 0 0 -67.576 67.576 67.576 -67.576

3B* 6.1435 0.2033 -14.493 -14.493 14.493 14.493 0 0 0 0

1B-1 0.0175 0.2033 -18.423 18.423 18.423 -18.423 0 0 0 0

Pressure stress* 127.057 127.057 127.057 127.057 127.057 127.057 127.057 127.057



3C* 4.6003 0.2033 -2.779 -2.779 -2.779 -2.779 0 0 0 0

4C* 8.8667 0.2033 0 0 0 0 -5.364 -5.364 -5.364 -5.364

1C-1 0.0474 0.2033 -12.79 12.79 -12.79 12.79 0 0 0 0

2C 0.0339 0.2033 0 0 0 0 -9.149 9.149 -9.149 9.149

4A* 6.5639 0.2033 0 0 0 0 -15.479 -15.479 15.479 15.479

2A 0.0293 0.2033 0 0 0 0 -30.84 30.84 30.84 -30.84

4B* 2.7891 0.2033 -6.578 -6.578 6.578 6.578 0 0 0 0

2B-1 0.0254 0.2033 -26.738 26.738 26.738 -26.738 0 0 0 0

Pressure stress* 63.528 63.528 63.528 63.528 63.528 63.528 63.528 63.528





Shear from Mt 1.413 1.413 1.413 1.413 1.413 1.413 1.413 1.413



Total Shear stress 2.241 2.241 0.586 0.586 0.586 0.586 2.241 2.241






Rm / t = 1,844.6 / 52.8 = 34.9359





b+Q) = 173.09 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.0457 0.1084 -1.717 -1.717 -1.717 -1.717 0 0 0 0

1C 0.1285 0.1084 0 0 0 0 -7.653 7.653 -7.653 7.653

2C-1 0.0913 0.1084 -5.433 5.433 -5.433 5.433 0 0 0 0

3A* 1.1038 0.1084 0 0 0 0 -2.296 -2.296 2.296 2.296

1A 0.0968 0.1084 0 0 0 0 -42.148 42.148 42.148 -42.148

3B* 3.6674 0.1084 -7.619 -7.619 7.619 7.619 0 0 0 0

1B-1 0.0466 0.1084 -20.291 20.291 20.291 -20.291 0 0 0 0

Pressure stress* 127.057 127.057 127.057 127.057 127.057 127.057 127.057 127.057



3C* 5.2806 0.1084 -1.503 -1.503 -1.503 -1.503 0 0 0 0

4C* 6.0457 0.1084 0 0 0 0 -1.717 -1.717 -1.717 -1.717

1C-1 0.1314 0.1084 -7.826 7.826 -7.826 7.826 0 0 0 0

2C 0.0913 0.1084 0 0 0 0 -5.433 5.433 -5.433 5.433

4A* 1.5806 0.1084 0 0 0 0 -3.282 -3.282 3.282 3.282

2A 0.0537 0.1084 0 0 0 0 -23.38 23.38 23.38 -23.38

4B* 1.0537 0.1084 -2.186 -2.186 2.186 2.186 0 0 0 0

2B-1 0.0729 0.1084 -31.737 31.737 31.737 -31.737 0 0 0 0



Pressure stress* 63.528 63.528 63.528 63.528 63.528 63.528 63.528 63.528



Shear from Mt 2.337 2.337 2.337 2.337 2.337 2.337 2.337 2.337










2)) + M*Ro / I= 1,719.72 / 1000*202.44 / (2*26.16) - 27,661 / (π*(228.62 - 202.442)) + 5.7223E+07*228.6 / 8.258E+08= 21.713 MPa



σshear = (VL2 + Vc

2)0.5 / (π*Ri*tn)= (27,6612 + 27,6612)0.5 / (π*202.44*26.16)= 2.351 MPa


= 40,463 / (2*π*202.442*26.16)= 6.007 MPa










(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

170.6795 170.685 18.4051 31.3012 -- 112 8.9787 8.33 29.36


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

2,120,712 2,101,463 4,342,929 683,104 5,020,541 2,295,496 4,766,495













trn = P*Rn / (Sn*E - 0.6*P)= 1,886.6127*199.24 / (118,000*1 - 0.6*1,886.6127)= 3.22 mm




tr = P*R / (S*E - 0.6*P)= 1,886.6127*1,829 / (138,000*1 - 0.6*1,886.6127)= 25.21 mm







A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (668.49*25.21*1 + 2*29.36*25.21*1*(1 - 0.8551)) / 100= 170.6795 cm2






= 5*(tn - trn)*fr2*t= (5*(29.36 - 3.22)*0.8551*28) / 100= 31.3012 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(29.36 - 3.22)*(2.5*29.36 + 28)*0.8551) / 100



= 45.3451 cm2

A41 = Leg2*fr3= (222*0.8551) / 100= 4.1387 cm2

A42 = Leg2*fr4= (222*1) / 100= 4.84 cm2

A5 = (Dp - d - 2*tn)*te*fr4*Ep= ((1,161 - 761)*28*1*1) / 100= 112 cm2

Area = A1 + A2 + A41 + A42 + A5= 18.4051 + 31.3012 + 4.1387 + 4.84 + 112= 170.685 cm2







ta UG-22 = 4.67 mm

ta = max[ ta UG-27 , ta UG-22 ]= max[ 3.22 , 4.67 ]



= 4.67 mm



tb = min[ tb3 , tb1 ]= min[ 8.33 , 25.21 ]= 8.33 mm














W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv= (17,067.95 - 1,840.5124 + 2*29.36*0.8551*(1*28 - 1*25.21))*138= 2,120,711.71 N

W1-1 = (A2 + A5 + A41 + A42)*Sv= (3,130.1228 + 11,200 + 413.8701 + 483.999)*138= 2,101,463.19 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (3,130.1228 + 0 + 413.8701 + 0 + 2*29.36*28*0.8551)*138= 683,104.11 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv= (3,130.1228 + 0 + 11,200 + 413.8701 + 483.999 + 0 + 2*29.36*28*0.8551)*138= 2,295,496.21 N










(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

84.8565 144.1548 0.0006 23.1754 -- 112 8.9787 11.53 29.36
























A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))= (0.5*(676.76*24.8*1 + 2*26.16*24.8*1*(1 - 0.8551))) / 100= 84.8565 cm2









= (5*(26.16 - 4.31)*0.8551*24.8) / 100= 23.1754 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(26.16 - 4.31)*(2.5*26.16 + 28)*0.8551) / 100= 34.9148 cm2

A41 = Leg2*fr3= (222*0.8551) / 100= 4.1387 cm2

A42 = Leg2*fr4= (222*1) / 100= 4.84 cm2

A5 = (Dp - d - 2*tn)*te*fr4*Ep= ((1,161 - 761)*28*1*1) / 100= 112 cm2

Area = A1 + A2 + A41 + A42 + A5= 0.0006 + 23.1754 + 4.1387 + 4.84 + 112= 144.1548 cm2






ta UG-28 = 7.51 mm

ta UG-22 = 7.03 mm






tb = min[ tb3 , tb2 ]= min[ 11.53 , 12.04 ]= 11.53 mm





L / Do = 1,015.17 / 457.2 = 2.2204Do / t = 457.2 / 4.3 = 106.2026From table G: A = 0.000533From table CS-2Metric: B = 52.913 MPa

Pa = 4*B / (3*(Do / t))= 4*52,912.98 / (3*(457.2 / 4.3))= 664.3 kPa


ta = t + Corrosion = 4.3 + 3.2 = 7.51mm



Tabular Results



Model Notes• Load Case Report• Solution Data• ASME Code Stress Output Plots• Region Data• ASME Overstressed Areas• Highest Primary Stress Ratios• Highest Secondary Stress Ratios• Highest Fatigue Stress Ratios• Stress Intensification Factors• Allowable Loads• Flexibilities• Graphical Results•

Model Notes

Input Echo:






Hillside Offset Distance : 1453.000 mm.

Nozzle Outside Diameter : 457.200 mm.Thickness : 26.162 mm.Length : 659.009 mm.Nozzle Weld Length : 22.000 mm.RePad Width : 200.000 mm.RePad Thickness : 28.000 mm.Nozzle Tilt Angle : 0.000 deg.Distance from Top : 1303.000 mm.Distance from Bottom : 1157.000 mm.





No external forces or bending moments were included in this analysis.








Table of Contents



1 SUSTAINED


/-------- Loads in Case 1Pressure Case 1

2 Thermal ONLY


/-------- Loads in Case 2Temperature Case 1

3 OPERATING (Fatigue Calc Performed)


/-------- Loads in Case 3Pressure Case 1Temperature Case 1













Table of Contents

Solution Data



Case # FX FY FZ

1 -29747. 282. 18128964.2 0. 0. 0.3 -29747. 282. 18128964.4 296138592. 272. -3190.5 0. 3. -24.6 0. -20. 4.7 0. 0. 0.8 -29747. 282. 18128964.



Table of Contents




3) S1+S2+S3 < 4S (SUS,S1+S2+S3) Case 1










Table of Contents

Region Data


Cold Allowable ........... 138. MPaHot Allowable @ 110 deg .. 138. MPaCase 1Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 129. MPaCase 3Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 129. MPaCase 4Nominal Stress (M/Z) ... 8359. MPaPressure Stress (Pd/2t) .. 0. MPaCase 5



Nominal Stress (M/Z) ... 82. MPaPressure Stress (Pd/2t) .. 0. MPaCase 6Nominal Stress (M/Z) ... 82. MPaPressure Stress (Pd/2t) .. 0. MPaCase 7Nominal Stress (M/Z) ... 82. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 129. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 26.162 mm.Stress Concentration ..... 1.350

Branch at Junction


Branch Transition




Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 129. MPaCase 4Nominal Stress (M/Z) ... 8359. MPaPressure Stress (Pd/2t) .. 0. MPaCase 5Nominal Stress (M/Z) ... 82. MPaPressure Stress (Pd/2t) .. 0. MPaCase 6Nominal Stress (M/Z) ... 82. MPaPressure Stress (Pd/2t) .. 0. MPaCase 7Nominal Stress (M/Z) ... 82. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 129. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 26.162 mm.Stress Concentration ..... 1.350

Pad Outer Edge Weld







Cold Allowable ........... 118. MPaHot Allowable @ 110 deg .. 118. MPaCase 1Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 129. MPaCase 3Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 129. MPaCase 4Nominal Stress (M/Z) ... 8359. MPaPressure Stress (Pd/2t) .. 0. MPaCase 5Nominal Stress (M/Z) ... 82. MPaPressure Stress (Pd/2t) .. 0. MPaCase 6Nominal Stress (M/Z) ... 82. MPaPressure Stress (Pd/2t) .. 0. MPaCase 7Nominal Stress (M/Z) ... 82. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 129. MPa




Table of Contents



Table of Contents




50%

Branch at Junction


58%

Branch Transition


12%

Pad Outer Edge Weld





61%



56%


S1+S2+S3 4S Part 5 (5.3.2) Load Case 192 472 Plot Reference:MPa MPa 3) S1+S2+S3 < 4S (SUS,S1+S2+S3) Case 1

19%

Table of Contents




39%

Branch at Junction


30%

Branch Transition





6%

Pad Outer Edge Weld


52%



29%



10%

Table of Contents






Branch at Junction


Branch Transition


Pad Outer Edge Weld

Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Outer) Load Case 3145 0.000 Life Stress Concentration Factor = 1.350MPa 0.012 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 66,747.Allowable "B31" Fatigue Stress Allowable = 345.012,300.7 Markl Fatigue Stress Allowable = 1689.2MPa Plot Reference:7) Pl+Pb+Q+F < Sa (EXP,Outside) Case 31%


Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Outer) Load Case 361 0.000 Life Stress Concentration Factor = 1.000MPa 0.005 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 5.0916E8Allowable "B31" Fatigue Stress Allowable = 345.012,300.7 Markl Fatigue Stress Allowable = 1689.2MPa Plot Reference:7) Pl+Pb+Q+F < Sa (EXP,Outside) Case 3



0%


Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Outer) Load Case 324 0.000 Life Stress Concentration Factor = 1.000MPa 0.002 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 1.0000E11Allowable "B31" Fatigue Stress Allowable = 295.012,300.7 Markl Fatigue Stress Allowable = 1689.2MPa Plot Reference:7) Pl+Pb+Q+F < Sa (EXP,Outside) Case 30%

Table of Contents






B31.3Peak Stress Sif .... 0.000 Axial6.237 Inplane7.964 Outplane1.000 Torsional



B31.1Peak Stress Sif .... 0.000 Axial7.964 Inplane7.964 Outplane7.964 TorsionalWRC 330Peak Stress Sif .... 0.000 Axial7.549 Inplane7.964 Outplane7.549 Torsional

Table of Contents

Allowable Loads



NOTES:








Table of Contents

Flexibilities




Table of Contents





Elements at Discontinuity

1) Pl < (1.5)(S) (SUS Membrane) Case 1• 2) Qb < SPS (SUS Bending) Case 1• 3) S1+S2+S3 < 4S (SUS S1+S2+S3) Case 1• 4) Pl+Pb+Q < SPS (OPE Inside) Case 3• 5) Pl+Pb+Q < SPS (OPE Outside) Case 3• 6) Pl+Pb+Q+F < Sa (EXP Inside) Case 3• 7) Pl+Pb+Q+F < Sa (EXP Outside) Case 3• 8) Pl+Pb+Q+F < Sa (SIF Outside) Case 4• 9) Pl+Pb+Q+F < Sa (SIF Outside) Case 5• 10) Pl+Pb+Q+F < Sa (SIF Outside) Case 6• 11) Pl+Pb+Q+F < Sa (SIF Outside) Case 7• 12) Pl+Pb+Q+F < Sa (SIF Outside) Case 8•

Tabular Results

















Drain (N8)






Nozzle longitudinal joint efficiency: 1Nozzle description: NPS 3 Sch 160 DN 80Pad material specification: SA-516 70 (II-D Metric p. 18, ln. 19) (normalized)Pad diameter: 190.9 mmFlange description: NPS 3 Class 150 WN A105Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)Flange rated MDMT: -29°C(UCS-66(b)(1)(b))Liquid static head on flange: 39.88 kPaASME B16.5-2009 flange rating MAWP: 1,732 kPa @ 110°CASME B16.5-2009 flange rating MAP: 1,925.07 kPa @ 40°CASME B16.5-2009 flange hydro test: 2,900 kPa @ 40°CGasket Description: Flexitallic Spiral Wound CG 316 S.S.PWHT performed: NoCircumferential joint radiography: Full UW-11(a) Type 1Nozzle orientation: 180°Local vessel minimum thickness: 28 mmNozzle center line offset to datum line: 1,461.6 mmEnd of nozzle to shell center: 2,032 mmNozzle inside diameter, new: 66.65 mm



Nozzle nominal wall thickness: 11.13 mmNozzle corrosion allowance: 3.2 mmProjection available outside vessel, Lpr: 105.15 mmProjection available outside vessel to flange face, Lf: 175 mmPad is split: No








(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

17.4404 24.0781 1.1697 6.0374 -- 16.0162 0.8548 8 11.13


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

227,627 316,137 367,137 141,496 833,687 362,520 637,529




Nozzle to pad fillet (Leg41) 5.55 7 weld size isadequate




Nozzle is impact test exempt per UG-20(f).


Nozzle UCS-66 governing thk: 11.13 mmNozzle rated MDMT: -29 °CPad UCS-66 governing thickness: 28 mmPad rated MDMT: -32.38 °CParallel Limit of reinforcement per UG-40





LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(28 - 3.2), 2.5*(11.13 - 3.2) + 28)= 47.81 mm


trn = P*Rn / (Sn*E - 0.6*P)= 1,730.2855*36.53 / (118,000*1 - 0.6*1,730.2855)= 0.54 mm


tr = P*R / (S*E - 0.6*P)= 1,730.2855*1,832.2 / (138,000*1 - 0.6*1,730.2855)= 23.15 mm







A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (73.05*23.15*1 + 2*7.92*23.15*1*(1 - 0.8551)) / 100= 17.4404 cm2







= (2*(24.8 + 7.92)*(1*24.8 - 1*23.15) - 2*7.92*(1*24.8 - 1*23.15)*(1 - 0.8551)) / 100= 1.0439 cm2


= 5*(tn - trn)*fr2*t= (5*(7.92 - 0.54)*0.8551*24.8) / 100= 7.829 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(7.92 - 0.54)*(2.5*7.92 + 28)*0.8551) / 100= 6.0374 cm2

A41 = Leg2*fr3= (102*0.8551) / 100= 0.8548 cm2

A42 = Leg2*fr4= (02*1) / 100= 0 cm2


A5 = (Dp - d - 2*tn)*te*fr4= ((146.1 - 73.05 - 2*7.92)*28*1) / 100= 16.0162 cm2

Area = A1 + A2 + A41 + A42 + A5= 1.1697 + 6.0374 + 0.8548 + 0 + 16.0162= 24.0781 cm2



Inner fillet: tmin = lesser of 19 mm or tn or te = 7.92 mmtc(min) = lesser of 6 mm or 0.7*tmin = 5.55 mmtc(actual) = 0.7*Leg = 0.7*10 = 7 mm









tb = min[ tb3 , tb1 ]= min[ 8 , 26.35 ]= 8 mm

tUG-45 = max[ ta , tb ]= max[ 3.74 , 8 ]= 8 mm









(π / 2)*Pad OD*Leg*So = (π / 2)*190.9*14*67.62 = 283,876.26 N


(4) Groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*88.9*24.8*102.12 = 353,652.86 N

(6) Upper groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*88.9*28*102.12 = 399,291.93 N



W1-1 = (A2 + A5 + A41 + A42)*Sv= (603.7407 + 1,601.6224 + 85.4837 + 0)*138= 316,136.91 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (603.7407 + 0 + 85.4837 + 0 + 2*7.92*24.8*0.8551)*138= 141,496.01 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv= (603.7407 + 0 + 1,601.6224 + 85.4837 + 0 + 0 + 2*7.92*24.8*0.8551)*138= 362,519.93 N



Load for path 1-1 lesser of W or W1-1 = 227,627.29 NPath 1-1 through (2) & (3) = 283,876.26 + 83,260.74 = 367,137 NPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).

Load for path 2-2 lesser of W or W2-2 = 141,496.01 NPath 2-2 through (1), (4), (6) = 80,742.05 + 353,652.86 + 399,291.93 = 833,686.85 NPath 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).

Load for path 3-3 lesser of W or W3-3 = 227,627.29 NPath 3-3 through (2), (4) = 283,876.26 + 353,652.86 = 637,529.12 NPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).






(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

17.9781 28.3335 1.7032 10.0955 -- 15.68 0.8548 4.8 11.13


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

230,555 367,498 396,142 224,632 879,326 441,016 683,168






Nozzle to pad fillet (Leg41) 6 7 weld size isadequate







LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(28 - 0), 2.5*(11.13 - 0) + 28)= 55.81 mm


trn = P*Rn / (Sn*E - 0.6*P)= 1,925.0652*33.32 / (118,000*1 - 0.6*1,925.0652)= 0.55 mm


tr = P*R / (S*E - 0.6*P)= 1,925.0652*1,829 / (138,000*1 - 0.6*1,925.0652)= 25.73 mm









A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (66.65*25.73*1 + 2*11.13*25.73*1*(1 - 0.8551)) / 100= 17.9781 cm2






= 5*(tn - trn)*fr2*t= (5*(11.13 - 0.55)*0.8551*28) / 100= 12.6619 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(11.13 - 0.55)*(2.5*11.13 + 28)*0.8551) / 100= 10.0955 cm2

A41 = Leg2*fr3= (102*0.8551) / 100= 0.8548 cm2

A42 = Leg2*fr4= (02*1) / 100= 0 cm2


A5 = (Dp - d - 2*tn)*te*fr4= ((144.9 - 66.65 - 2*11.13)*28*1) / 100= 15.68 cm2

Area = A1 + A2 + A41 + A42 + A5



= 1.7032 + 10.0955 + 0.8548 + 0 + 15.68= 28.3335 cm2



Inner fillet: tmin = lesser of 19 mm or tn or te = 11.13 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mmtc(actual) = 0.7*Leg = 0.7*10 = 7 mm







tb = min[ tb3 , tb1 ]= min[ 4.8 , 25.73 ]= 4.8 mm









(2) Outer fillet weld in shear(π / 2)*Pad OD*Leg*So = (π / 2)*190.9*14*67.62 = 283,876.26 N


(4) Groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*88.9*28*102.12 = 399,291.93 N




W1-1 = (A2 + A5 + A41 + A42)*Sv= (1,009.5464 + 1,568 + 85.4837 + 0)*138= 367,498.2 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (1,009.5464 + 0 + 85.4837 + 0 + 2*11.13*28*0.8551)*138= 224,631.87 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv= (1,009.5464 + 0 + 1,568 + 85.4837 + 0 + 0 + 2*11.13*28*0.8551)*138



= 441,015.9 N



Load for path 1-1 lesser of W or W1-1 = 230,555.09 NPath 1-1 through (2) & (3) = 283,876.26 + 112,265.6 = 396,141.85 NPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).

Load for path 2-2 lesser of W or W2-2 = 224,631.87 NPath 2-2 through (1), (4), (6) = 80,742.05 + 399,291.93 + 399,291.93 = 879,325.92 NPath 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).






(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

9.3429 22.702 -- 5.831 -- 16.0162 0.8548 8 11.13
























A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))= (0.5*(73.05*24.8*1 + 2*7.92*24.8*1*(1 - 0.8551))) / 100= 9.3429 cm2









= (5*(7.92 - 0.79)*0.8551*24.8) / 100= 7.5606 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(7.92 - 0.79)*(2.5*7.92 + 28)*0.8551) / 100= 5.831 cm2

A41 = Leg2*fr3= (102*0.8551) / 100= 0.8548 cm2

A42 = Leg2*fr4= (02*1) / 100= 0 cm2


A5 = (Dp - d - 2*tn)*te*fr4= ((146.1 - 73.05 - 2*7.92)*28*1) / 100= 16.0162 cm2

Area = A1 + A2 + A41 + A42 + A5= 0 + 5.831 + 0.8548 + 0 + 16.0162= 22.702 cm2






ta UG-28 = 3.99 mm




= max[ 3.99 , 0 ]= 3.99 mm



tb = min[ tb3 , tb2 ]= min[ 8 , 12.04 ]= 8 mm

tUG-45 = max[ ta , tb ]= max[ 3.99 , 8 ]= 8 mm





Pa = 4*B / (3*(Do / t))= 4*55,779.48 / (3*(88.9 / 0.79))= 664.29 kPa


ta = t + Corrosion = 0.79 + 3.2 = 3.99mm



Mixer Mounting (N9)


tw(lower) = 16 mmLeg41 = 12 mmLeg43 = 14 mmhnew = 118 mm


Located on: A1 Mixer Nozzle BLRFLiquid static head included: 0 kPa


Nozzle longitudinal joint efficiency: 1Nozzle description: NPS 16 Sch 120 DN 400Flange description: NPS 16 Class 150 SO A105Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)Flange rated MDMT: -29°C(UCS-66(b)(1)(b))Liquid static head on flange: 0 kPaASME B16.5-2009 flange rating MAWP: 1,732 kPa @ 110°CASME B16.5-2009 flange rating MAP: 1,925.07 kPa @ 40°CASME B16.5-2009 flange hydro test: 2,900 kPa @ 40°CGasket Description: Flexitallic Spiral Wound CG 316 S.S.Flange external fillet weld leg (UW-21): 23.37 mm (23.37 mm min)Flange internal fillet weld leg (UW-21): 10.57 mm (10.57 mm min)PWHT performed: NoNozzle orientation: 0°Local vessel minimum thickness: 100 mmNozzle inside diameter, new: 344.47 mmNozzle nominal wall thickness: 30.96 mmNozzle corrosion allowance: 3.2 mmProjection available outside vessel, Lpr: 219.04 mm



Internal projection, hnew: 118 mmProjection available outside vessel to flange face, Lf: 250 mmDistance to head center, R: 0 mm





UG-39 Area Calculation Summary (cm2)For P = 1,732 kPa @ 110 °C



(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

125.2388 150.264 92.6101 29.869 25.7933 -- 1.9916 11.53 30.96


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

627,269 429,188 1,806,813 1,429,864 1,625,334




Nozzle to shell fillet (Leg41) 6 8.4 weld size isadequate

Nozzle to inside shell fillet (Leg43) 6 6.6(corroded)

weld size isadequate

Nozzle to shell groove (Lower) 15.35 16 weld size isadequate

Calculations for internal pressure 1,732 kPa @ 110 °C


Nozzle UCS-66 governing thk: 30.96 mmNozzle rated MDMT: -15.57 °CParallel Limit of reinforcement per UG-40







LI = MIN(2.5*(t - C), 2.5*(ti - Cn - C))= MIN(2.5*(100 - 3.2), 2.5*(30.96 - 3.2 - 3.2))= 61.4 mm


trn = P*Rn / (Sn*E - 0.6*P)= 1,732.0018*175.44 / (118,000*1 - 0.6*1,732.0018)= 2.6 mm

Required thickness tr from UG-34

W = 0.785*G2*P + 2*b*3.14*G*m*P= 0.785*1,080.362*1.732 + 2*7.32*3.14*1,080.36*3*1.732= 1,844,981.06 N

tr = d*Sqr(C*P / (S*E) + 1.9*W*hg / (S*E*d3))

= 1,080.36*Sqr(0.3*1,732.0018 / (138,000*1) + 1.9*1,844,981.06*20.22 /(138*1*1,080.363))

= 69.79 mm

Gasket seatingtr = d*Sqr(1.9*W*hG / (S*E*d3))

= 1,080.36*Sqr(1.9*2,267,638.99*20.22 / (138*1*1,080.363))= 24.17 mm

Area required per UG-39




A = 0.5*d*tr + tr*tn*(1 - fr1)= (0.5*350.88*69.79 + 69.79*27.76*(1 - 0.8551)) / 100= 125.2388 cm2






= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)= (2*(96.8 + 27.76)*(1*96.8 - 1*69.79) - 2*27.76*(1*96.8 - 1*69.79)*(1 - 0.8551)) / 100= 65.1231 cm2


= 2*(tn - trn)*fr2*Lpr= (2*(27.76 - 2.6)*0.8551*219.04) / 100= 94.263 cm2

= 5*(tn - trn)*fr2*tn= (5*(27.76 - 2.6)*0.8551*27.76) / 100= 29.869 cm2


= 5*t*ti*fr2= (5*96.8*24.56*0.8551) / 100= 101.6531 cm2

= 5*ti*ti*fr2= (5*24.56*24.56*0.8551) / 100= 25.7933 cm2

= 2*h*ti*fr2= (2*114.8*24.56*0.8551) / 100= 48.2222 cm2

A41 = Leg2*fr2= (122*0.8551) / 100= 1.2316 cm2

A43 = Leg2*fr2



= (9.432*0.8551) / 100= 0.76 cm2

Area = A1 + A2 + A3 + A41 + A43= 92.6101 + 29.869 + 25.7933 + 1.2316 + 0.76= 150.264 cm2


UW-16(d) Weld Check

tmin = lesser of 19 mm or tn or t = 19 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 6 mmt1(actual) = 0.7*Leg = 0.7*12 = 8.4 mmThe weld size t1 is satisfactory.t2(actual) = 16 mmThe weld size t2 is satisfactory.

t1 + t2 = 24.4 >= 1.25*tmin

The combined weld sizes for t1 and t2 are satisfactory.




tb1 = 72.99 mm


tb = min[ tb3 , tb1 ]= min[ 11.53 , 72.99 ]= 11.53 mm

tUG-45 = max[ ta , tb ]= max[ 5.8 , 11.53 ]



= 11.53 mm




Groove weld in tension: 0.74*138 = 102.12 MPaNozzle wall in shear: 0.7*118 = 82.6 MPaInner fillet weld in shear: 0.49*118 = 57.82 MPaLower fillet weld in shear: 0.49*118 = 57.82 MPaStrength of welded joints:




(5) Lower fillet weld in shear(π / 2)*Nozzle OD*Leg*Sl = (π / 2)*406.4*9.43*57.82 = 347,993.62 N


W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv= (12,523.88 - 9,261.0137 + 2*27.76*0.8551*(1*96.8 - 1*69.79))*138= 627,269.26 N

W1-1 = (A2 + A5 + A41 + A42)*Sv= (2,986.8973 + 0 + 123.161 + 0)*138= 429,188.11 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (2,986.8973 + 2,579.3322 + 123.161 + 75.9998 + 2*27.76*96.8*0.8551)*138= 1,429,863.77 N



Load for path 1-1 lesser of W or W1-1 = 429,188.11 NPath 1-1 through (1) & (3) = 442,927.81 + 1,363,885.17 = 1,806,812.99 NPath 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 = 627,269.26 NPath 2-2 through (1), (4), (5) = 442,927.81 + 834,412.59 + 347,993.62 = 1,625,334.02 NPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).






(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

130.0208 169.7927 88.6637 37.2328 40.9885 -- 2.9077 8.33 30.96


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

763,843 530,809 1,951,183 1,850,322 2,002,725
















LI = MIN(2.5*(t - C), 2.5*(ti - Cn - C))= MIN(2.5*(100 - 0), 2.5*(30.96 - 0 - 0))= 77.41 mm


trn = P*Rn / (Sn*E - 0.6*P)= 1,925.0652*172.24 / (118,000*1 - 0.6*1,925.0652)= 2.84 mm


W = 0.785*G2*P + 2*b*3.14*G*m*P= 0.785*1,080.362*1.925 + 2*7.32*3.14*1,080.36*3*1.925= 2,050,638.17 N


= 1,080.36*Sqr(0.3*1,925.0652 / (138,000*1) + 1.9*2,050,638.17*20.22 /(138*1*1,080.363))

= 73.57 mm


= 1,080.36*Sqr(1.9*2,370,467.55*20.22 / (138*1*1,080.363))= 24.72 mm





A = 0.5*d*tr + tr*tn*(1 - fr1)= (0.5*344.47*73.57 + 73.57*30.96*(1 - 0.8551)) / 100= 130.0208 cm2








= 2*(tn - trn)*fr2*Lpr= (2*(30.96 - 2.84)*0.8551*219.04) / 100= 105.3572 cm2

= 5*(tn - trn)*fr2*tn= (5*(30.96 - 2.84)*0.8551*30.96) / 100= 37.2328 cm2


= 5*t*ti*fr2= (5*100*30.96*0.8551) / 100= 132.3806 cm2

= 5*ti*ti*fr2= (5*30.96*30.96*0.8551) / 100= 40.9885 cm2

= 2*h*ti*fr2= (2*118*30.96*0.8551) / 100= 62.4836 cm2

A41 = Leg2*fr2= (122*0.8551) / 100= 1.2316 cm2

A43 = Leg2*fr2



= (142*0.8551) / 100= 1.6761 cm2

Area = A1 + A2 + A3 + A41 + A43= 88.6637 + 37.2328 + 40.9885 + 1.2316 + 1.6761= 169.7927 cm2


UW-16(d) Weld Check

tmin = lesser of 19 mm or tn or t = 19 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 6 mmt1(actual) = 0.7*Leg = 0.7*12 = 8.4 mmThe weld size t1 is satisfactory.t2(actual) = 16 mmThe weld size t2 is satisfactory.

t1 + t2 = 24.4 >= 1.25*tmin





tb1 = 73.57 mm


tb = min[ tb3 , tb1 ]= min[ 8.33 , 73.57 ]= 8.33 mm

tUG-45 = max[ ta , tb ]= max[ 2.84 , 8.33 ]



= 8.33 mm








(5) Lower fillet weld in shear(π / 2)*Nozzle OD*Leg*Sl = (π / 2)*406.4*14*57.82 = 516,749.12 N


W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv= (13,002.08 - 8,866.3694 + 2*30.96*0.8551*(1*100 - 1*73.57))*138= 763,842.62 N

W1-1 = (A2 + A5 + A41 + A42)*Sv= (3,723.2829 + 0 + 123.161 + 0)*138= 530,809.34 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (3,723.2829 + 4,098.8473 + 123.161 + 167.6126 + 2*30.96*100*0.8551)*138= 1,850,321.88 N




Load for path 2-2 lesser of W or W2-2 = 763,842.62 NPath 2-2 through (1), (4), (5) = 442,927.81 + 1,043,048.33 + 516,749.12 = 2,002,725.26 NPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).


UG-39 Area Calculation Summary (cm2)For Pe = 2,151.19 kPa @ 50 °C



(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

132.5858 132.5873 78.5747 26.2277 25.7933 -- 1.9916 11.53 30.96


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

895,524 378,938 1,806,813 1,379,614 1,625,334








Calculations for external pressure 2,151.19 kPa @ 50 °C








LI = MIN(2.5*(t - C), 2.5*(ti - Cn - C))= MIN(2.5*(100 - 3.2), 2.5*(30.96 - 3.2 - 3.2))= 61.4 mm


From UG-34 required thickness tr = 73.88 mm





A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))= (0.5*(350.88*73.88*1 + 2*27.76*73.88*1*(1 - 0.8551))) / 100= 132.5858 cm2








= 2*(tn - trn)*fr2*Lpr= (2*(27.76 - 5.67)*0.8551*219.04) / 100= 82.7727 cm2

= 5*(tn - trn)*fr2*tn= (5*(27.76 - 5.67)*0.8551*27.76) / 100= 26.2277 cm2


= 5*t*ti*fr2= (5*96.8*24.56*0.8551) / 100= 101.6531 cm2

= 5*ti*ti*fr2= (5*24.56*24.56*0.8551) / 100= 25.7933 cm2

= 2*h*ti*fr2= (2*114.8*24.56*0.8551) / 100= 48.2222 cm2

A41 = Leg2*fr2= (122*0.8551) / 100= 1.2316 cm2

A43 = Leg2*fr2= (9.432*0.8551) / 100= 0.76 cm2

Area = A1 + A2 + A3 + A41 + A43= 78.5747 + 26.2277 + 25.7933 + 1.2316 + 0.76= 132.5873 cm2


UW-16(d) Weld Check

tmin = lesser of 19 mm or tn or t = 19 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 6 mmt1(actual) = 0.7*Leg = 0.7*12 = 8.4 mmThe weld size t1 is satisfactory.t2(actual) = 16 mm



The weld size t2 is satisfactory.

t1 + t2 = 24.4 >= 1.25*tmin



ta UG-28 = 8.87 mm


tb2 = 77.08 mm


tb = min[ tb3 , tb2 ]= min[ 11.53 , 77.08 ]= 11.53 mm











(5) Lower fillet weld in shear(π / 2)*Nozzle OD*Leg*Sl = (π / 2)*406.4*9.43*57.82 = 347,993.62 N


W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv= (13,258.58 - 7,857.4682 + 2*27.76*0.8551*(1*96.8 - 1*73.88))*138= 895,524.01 N

W1-1 = (A2 + A5 + A41 + A42)*Sv= (2,622.7689 + 0 + 123.161 + 0)*138= 378,938.39 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (2,622.7689 + 2,579.3322 + 123.161 + 75.9998 + 2*27.76*96.8*0.8551)*138= 1,379,614.05 N


Load for path 2-2 lesser of W or W2-2 = 895,524.01 NPath 2-2 through (1), (4), (5) = 442,927.81 + 834,412.59 + 347,993.62 = 1,625,334.02 NPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).


L / Do = 250 / 406.4 = 0.6152Do / t = 406.4 / 5.67 = 71.7285From table G: A = 0.003923From table CS-2Metric: B = 115.7261 MPa

Pa = 4*B / (3*(Do / t))= 4*115,726.06 / (3*(406.4 / 5.67))= 2,151.19 kPa



Design thickness for external pressure Pa = 2,151.19 kPa

ta = t + Corrosion = 5.67 + 3.2 = 8.87mm



Media Dump (N5)






Nozzle longitudinal joint efficiency: 1Nozzle description: NPS 4 Sch 120 DN 100Pad material specification: SA-516 70 (II-D Metric p. 18, ln. 19) (normalized)Pad diameter: 244.86 mmFlange description: NPS 4 Class 150 WN A105Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)Flange rated MDMT: -29°C(UCS-66(b)(1)(b))Liquid static head on flange: 31.1395 kPaASME B16.5-2009 flange rating MAWP: 1,732 kPa @ 110°CASME B16.5-2009 flange rating MAP: 1,925.07 kPa @ 40°CASME B16.5-2009 flange hydro test: 2,900 kPa @ 40°CGasket Description: Flexitallic Spiral Wound CG 316 S.S.PWHT performed: NoCircumferential joint radiography: Full UW-11(a) Type 1Nozzle orientation: 270°Local vessel minimum thickness: 28 mmNozzle center line offset to datum line: 1,461.6 mmEnd of nozzle to shell center: 1,715 mmOffset from center, Lo: -1,140 mm



Nozzle inside diameter, new: 92.05 mmNozzle nominal wall thickness: 11.13 mmNozzle corrosion allowance: 3.2 mmOpening chord length: 125.31 mmProjection available outside vessel, Lpr: 130.2 mmProjection available outside vessel to flange face, Lf: 206.4 mmPad is split: No





UG-37 Area Calculation Summary (cm2)For P = 1,732 kPa @ 110 °C



(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

29.5671 37.4671 2.0045 5.8839 -- 28 1.5787 8.47 11.13


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

383,412 489,383 473,497 139,377 1,071,883 535,767 818,815








Nozzle is impact test exempt per UG-20(f).External nozzle loadings per UG-22 govern the coincident ratio used.


Nozzle UCS-66 governing thk: 11.13 mmNozzle rated MDMT: -29 °CPad UCS-66 governing thickness: 28 mmPad rated MDMT: -32.38 °CParallel Limit of reinforcement per UG-40

LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(125.31, 62.66 + (11.13 - 3.2) + (28 - 3.2))



= 125.31 mmOuter Normal Limit of reinforcement per UG-40



trn = P*Rn / (Sn*E - 0.6*P)= 1,732.0018*49.23 / (118,000*1 - 0.6*1,732.0018)= 0.73 mm


tr = P*R / (S*E - 0.6*P)= 1,732.0018*1,832.2 / (138,000*1 - 0.6*1,732.0018)= 23.17 mm







A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (125.31*23.17*1 + 2*7.92*23.17*1*(1 - 0.8551)) / 100= 29.5671 cm2








= 5*(tn - trn)*fr2*t= (5*(7.92 - 0.73)*0.8551*24.8) / 100= 7.6297 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(7.92 - 0.73)*(2.5*7.92 + 28)*0.8551) / 100= 5.8839 cm2

A41 = Leg2*fr3= (102*0.8551) / 100= 0.8548 cm2

A42 = Leg2*fr4= (8.512*1) / 100= 0.7239 cm2


A5 = (Dp - d - 2*tn)*te*fr4= ((244.86 - 144.86)*28*1) / 100= 28 cm2

Area = A1 + A2 + A41 + A42 + A5= 2.0045 + 5.8839 + 0.8548 + 0.7239 + 28= 37.4671 cm2




Outer fillet: tmin = lesser of 19 mm or te or t = 19 mmtw(min) = 0.5*tmin = 9.5 mm



tw(actual) = 0.7*Leg = 0.7*14 = 9.8 mm



ta UG-22 = 6.25 mm




tb = min[ tb3 , tb1 ]= min[ 8.47 , 26.37 ]= 8.47 mm





Groove weld in tension: 0.74*138 = 102.12 MPaNozzle wall in shear: 0.7*118 = 82.6 MPaInner fillet weld in shear: 0.49*118 = 57.82 MPaOuter fillet weld in shear: 0.49*138 = 67.62 MPaUpper groove weld in tension: 0.74*138 = 102.12 MPa



Strength of welded joints:








W1-1 = (A2 + A5 + A41 + A42)*Sv= (588.3859 + 2,800 + 85.4837 + 72.387)*138= 489,383.48 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (588.3859 + 0 + 85.4837 + 0 + 2*7.92*24.8*0.8551)*138= 139,377.04 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv= (588.3859 + 0 + 2,800 + 85.4837 + 72.387 + 0 + 2*7.92*24.8*0.8551)*138= 535,766.5 N




Load for path 2-2 lesser of W or W2-2 = 139,377.04 NPath 2-2 through (1), (4), (6) = 103,811.21 + 454,696.54 + 513,375.34 = 1,071,883.09 NPath 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).


Applied Loads

Radial load: Pr = 4,218 NCircumferential moment: Mc = 2,174 N-mCircumferential shear: Vc = 4,218 NLongitudinal moment: ML = 2,174 N-mLongitudinal shear: VL = 4,218 NTorsion moment: Mt = 2,174 N-mInternal pressure: P = 1,732 kPaMean shell radius: Rm = 1,844.6mmLocal shell thickness: t = 24.8 mmShell yield stress: Sy = 237 MPa




Rm / t = 1,844.6 / 24.8 = 74.3802





b+Q) = 155.59 MPa


b+Q) = +-3*S = +-414 MPa








4C* 13.24 0.0508 -1.22 -1.22 -1.22 -1.22 0 0 0 0

1C 0.1639 0.0508 0 0 0 0 -6.743 6.743 -6.743 6.743

2C-1 0.1241 0.0508 -5.109 5.109 -5.109 5.109 0 0 0 0

3A* 1.627 0.0508 0 0 0 0 -0.827 -0.827 0.827 0.827

1A 0.1014 0.0508 0 0 0 0 -22.939 22.939 22.939 -22.939

3B* 5.7563 0.0508 -2.916 -2.916 2.916 2.916 0 0 0 0

1B-1 0.0548 0.0508 -12.397 12.397 12.397 -12.397 0 0 0 0

Pressure stress* 127.96 127.96 127.96 127.96 127.96 127.96 127.96 127.96



3C* 13.4185 0.0508 -1.234 -1.234 -1.234 -1.234 0 0 0 0

4C* 13.24 0.0508 0 0 0 0 -1.22 -1.22 -1.22 -1.22

1C-1 0.1612 0.0508 -6.633 6.633 -6.633 6.633 0 0 0 0

2C 0.124 0.0508 0 0 0 0 -5.102 5.102 -5.102 5.102

4A* 2.1821 0.0508 0 0 0 0 -1.103 -1.103 1.103 1.103

2A 0.0594 0.0508 0 0 0 0 -13.438 13.438 13.438 -13.438

4B* 1.6044 0.0508 -0.814 -0.814 0.814 0.814 0 0 0 0

2B-1 0.0915 0.0508 -20.698 20.698 20.698 -20.698 0 0 0 0

Pressure stress* 63.983 63.983 63.983 63.983 63.983 63.983 63.983 63.983





Shear from Mt 1.213 1.213 1.213 1.213 1.213 1.213 1.213 1.213









Rm / t = 1,844.6 / 52.8 = 34.9359





b+Q) = 140 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.894 0.0271 -0.296 -0.296 -0.296 -0.296 0 0 0 0

1C 0.2662 0.0271 0 0 0 0 -2.413 2.413 -2.413 2.413

2C-1 0.2174 0.0271 -1.972 1.972 -1.972 1.972 0 0 0 0

3A* 0.1996 0.0271 0 0 0 0 -0.09 -0.09 0.09 0.09

1A 0.1067 0.0271 0 0 0 0 -9.984 9.984 9.984 -9.984

3B* 0.8325 0.0271 -0.372 -0.372 0.372 0.372 0 0 0 0

1B-1 0.0633 0.0271 -5.923 5.923 5.923 -5.923 0 0 0 0

Pressure stress* 127.96 127.96 127.96 127.96 127.96 127.96 127.96 127.96



3C* 6.9752 0.0271 -0.303 -0.303 -0.303 -0.303 0 0 0 0

4C* 6.894 0.0271 0 0 0 0 -0.296 -0.296 -0.296 -0.296

1C-1 0.2717 0.0271 -2.468 2.468 -2.468 2.468 0 0 0 0

2C 0.2177 0.0271 0 0 0 0 -1.979 1.979 -1.979 1.979

4A* 0.2538 0.0271 0 0 0 0 -0.11 -0.11 0.11 0.11

2A 0.0643 0.0271 0 0 0 0 -6.019 6.019 6.019 -6.019

4B* 0.2024 0.0271 -0.09 -0.09 0.09 0.09 0 0 0 0

2B-1 0.1081 0.0271 -10.115 10.115 10.115 -10.115 0 0 0 0



Pressure stress* 63.983 63.983 63.983 63.983 63.983 63.983 63.983 63.983



Shear from Mt 2.006 2.006 2.006 2.006 2.006 2.006 2.006 2.006










2)) + M*Ro / I= 1,732 / 1000*49.23 / (2*7.92) - 4,218 / (π*(57.152 - 49.232)) + 3,074,499.6*57.15 / 3,766,804= 50.433 MPa



σshear = (VL2 + Vc

2)0.5 / (π*Ri*tn)= (4,2182 + 4,2182)0.5 / (π*49.23*7.92)= 4.867 MPa


= 2,174 / (2*π*49.232*7.92)= 18.018 MPa










(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

31.0094 38.4646 2.5903 9.8942 -- 25.1253 0.8548 5.27 11.13


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

398,146 495,065 513,049 221,854 1,130,562 568,583 877,494




Nozzle to pad fillet (Leg41) 6 7 weld size isadequate









trn = P*Rn / (Sn*E - 0.6*P)= 1,925.0652*46.02 / (118,000*1 - 0.6*1,925.0652)= 0.76 mm




tr = P*R / (S*E - 0.6*P)= 1,925.0652*1,829 / (138,000*1 - 0.6*1,925.0652)= 25.73 mm







A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (117.3*25.73*1 + 2*11.13*25.73*1*(1 - 0.8551)) / 100= 31.0094 cm2






= 5*(tn - trn)*fr2*t= (5*(11.13 - 0.76)*0.8551*28) / 100= 12.409 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(11.13 - 0.76)*(2.5*11.13 + 28)*0.8551) / 100



= 9.8942 cm2

A41 = Leg2*fr3= (102*0.8551) / 100= 0.8548 cm2

A42 = Leg2*fr4= (02*1) / 100= 0 cm2


A5 = (Dp - d - 2*tn)*te*fr4= ((234.59 - 144.86)*28*1) / 100= 25.1253 cm2

Area = A1 + A2 + A41 + A42 + A5= 2.5903 + 9.8942 + 0.8548 + 0 + 25.1253= 38.4646 cm2



Inner fillet: tmin = lesser of 19 mm or tn or te = 11.13 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mmtc(actual) = 0.7*Leg = 0.7*10 = 7 mm




ta UG-22 = 3.09 mm

ta = max[ ta UG-27 , ta UG-22 ]= max[ 0.76 , 3.09 ]



= 3.09 mm



tb = min[ tb3 , tb1 ]= min[ 5.27 , 25.73 ]= 5.27 mm









(4) Groove weld in tension(π / 2)*Nozzle OD*tw*Sg = (π / 2)*114.3*28*102.12 = 513,375.34 N






W1-1 = (A2 + A5 + A41 + A42)*Sv= (989.4174 + 2,512.5274 + 85.4837 + 0)*138= 495,065.2 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (989.4174 + 0 + 85.4837 + 0 + 2*11.13*28*0.8551)*138= 221,854.07 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv= (989.4174 + 0 + 2,512.5274 + 85.4837 + 0 + 0 + 2*11.13*28*0.8551)*138= 568,582.89 N




Load for path 2-2 lesser of W or W2-2 = 221,854.07 NPath 2-2 through (1), (4), (6) = 103,811.21 + 513,375.34 + 513,375.34 = 1,130,561.89 NPath 2-2 is stronger than W2-2 so it is acceptable per UG-41(b)(1).






(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

15.8183 35.1051 -- 5.5355 -- 28 1.5697 8.47 11.13
























A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))= (0.5*(125.27*24.8*1 + 2*7.92*24.8*1*(1 - 0.8551))) / 100= 15.8183 cm2









= (5*(7.92 - 1.15)*0.8551*24.8) / 100= 7.1787 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(7.92 - 1.15)*(2.5*7.92 + 28)*0.8551) / 100= 5.5355 cm2

A41 = Leg2*fr3= (102*0.8551) / 100= 0.8548 cm2

A42 = Leg2*fr4= (8.462*1) / 100= 0.7148 cm2


A5 = (Dp - d - 2*tn)*te*fr4= ((244.86 - 144.86)*28*1) / 100= 28 cm2

Area = A1 + A2 + A41 + A42 + A5= 0 + 5.5355 + 0.8548 + 0.7148 + 28= 35.1051 cm2






ta UG-28 = 6.2 mm

ta UG-22 = 6.2 mm






tb = min[ tb3 , tb2 ]= min[ 8.47 , 12.04 ]= 8.47 mm






Pa = 4*B / (3*(Do / t))= 4*49,317.16 / (3*(114.3 / 1.15))= 664.29 kPa


ta = t + Corrosion = 1.15 + 3.2 = 4.36mm



Vent (N7)


tw(lower) = 18 mmLeg41 = 18 mm


Located on: A1 Mixer Nozzle BLRFLiquid static head included: 0 kPa


Nozzle longitudinal joint efficiency: 1Nozzle description: NPS 2 Sch 160 DN 50Flange description: NPS 2 Class 150 WN A105Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)Flange rated MDMT: -29°C(UCS-66(b)(1)(b))Liquid static head on flange: 0 kPaASME B16.5-2009 flange rating MAWP: 1,732 kPa @ 110°CASME B16.5-2009 flange rating MAP: 1,925.07 kPa @ 40°CASME B16.5-2009 flange hydro test: 2,900 kPa @ 40°CGasket Description: Flexitallic Spiral Wound CG 316 S.S.PWHT performed: NoCircumferential joint radiography: Full UW-11(a) Type 1Nozzle orientation: 135°Local vessel minimum thickness: 100 mmNozzle inside diameter, new: 42.85 mmNozzle nominal wall thickness: 8.74 mmNozzle corrosion allowance: 3.2 mmProjection available outside vessel, Lpr: 186.5 mmProjection available outside vessel to flange face, Lf: 250 mm



Distance to head center, R: 480 mm





UG-39 Area CalculationSummary (cm2)

For P = 1,732 kPa @ 110 °C


(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 6.62 8.74






Nozzle to shell fillet (Leg41) 3.88 12.6 weld size isadequate

Nozzle to shell groove (Lower) 3.88 14.8 weld size isadequate


Nozzle impact test exemption temperature from Fig UCS-66M Curve C = -48 °C.

Nozzle UCS-66 governing thk: 8.74 mmNozzle rated MDMT: -48 °CParallel Limit of reinforcement per UG-40







trn = P*Rn / (Sn*E - 0.6*P)= 1,732.0018*24.63 / (118,000*1 - 0.6*1,732.0018)= 0.37 mm


W = 0.785*G2*P + 2*b*3.14*G*m*P= 0.785*1,080.362*1.732 + 2*7.32*3.14*1,080.36*3*1.732= 1,844,981.06 N


= 1,080.36*Sqr(0.3*1,732.0018 / (138,000*1) + 1.9*1,844,981.06*20.22 /(138*1*1,080.363))

= 69.79 mm


= 1,080.36*Sqr(1.9*2,267,638.99*20.22 / (138*1*1,080.363))= 24.17 mm

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

UW-16(d) Weld Check

tmin = lesser of 19 mm or tn or t = 5.54 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 3.88 mmt1(actual) = 0.7*Leg = 0.7*18 = 12.6 mmThe weld size t1 is satisfactory.t2(actual) = 14.8 mmThe weld size t2 is satisfactory.

t1 + t2 = 27.4 >= 1.25*tmin







= max[ 3.57 , 0 ]= 3.57 mm

tb1 = 72.99 mm


tb = min[ tb3 , tb1 ]= min[ 6.62 , 72.99 ]= 6.62 mm









For P = 1,925.07 kPa @ 40 °C


(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin








Nozzle to shell groove (Lower) 6 18 weld size isadequate









trn = P*Rn / (Sn*E - 0.6*P)= 1,925.0652*21.42 / (118,000*1 - 0.6*1,925.0652)= 0.35 mm


W = 0.785*G2*P + 2*b*3.14*G*m*P= 0.785*1,080.362*1.925 + 2*7.32*3.14*1,080.36*3*1.925= 2,050,638.17 N


= 1,080.36*Sqr(0.3*1,925.0652 / (138,000*1) + 1.9*2,050,638.17*20.22 /(138*1*1,080.363))

= 73.57 mm


= 1,080.36*Sqr(1.9*2,370,467.55*20.22 / (138*1*1,080.363))= 24.72 mm


UW-16(d) Weld Check

tmin = lesser of 19 mm or tn or t = 8.74 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 6 mmt1(actual) = 0.7*Leg = 0.7*18 = 12.6 mmThe weld size t1 is satisfactory.t2(actual) = 18 mmThe weld size t2 is satisfactory.

t1 + t2 = 30.6 >= 1.25*tmin







= max[ 0.35 , 0 ]= 0.35 mm

tb1 = 73.57 mm


tb = min[ tb3 , tb1 ]= min[ 3.42 , 73.57 ]= 3.42 mm








For Pe = 3,692.89 kPa @ 50 °C


(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin



Weld strength calculations are not required forexternal pressure




Nozzle to shell fillet (Leg41) 3.88 12.6 weld size isadequate

Nozzle to shell groove (Lower) 3.88 14.8 weld size isadequate

Calculations for external pressure 3,692.89 kPa @ 50 °C








From UG-34 required thickness tr = 96.8 mm


UW-16(d) Weld Check

tmin = lesser of 19 mm or tn or t = 5.54 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 3.88 mmt1(actual) = 0.7*Leg = 0.7*18 = 12.6 mmThe weld size t1 is satisfactory.t2(actual) = 14.8 mmThe weld size t2 is satisfactory.

t1 + t2 = 27.4 >= 1.25*tmin



ta UG-28 = 4.97 mm


tb2 = 100 mm


tb = min[ tb3 , tb2 ]= min[ 6.62 , 100 ]= 6.62 mm







L / Do = 250 / 60.32 = 4.1442Do / t = 60.32 / 1.77 = 34.1049From table G: A = 0.001469From table CS-2Metric: B = 94.4595 MPa

Pa = 4*B / (3*(Do / t))= 4*94,459.52 / (3*(60.32 / 1.77))= 3,692.9 kPa

Design thickness for external pressure Pa = 3,692.9 kPa

ta = t + Corrosion = 1.77 + 3.2 = 4.97mm



Straight Flange on RH Dish


Component: Straight FlangeMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 19)Material impact test exemption temperature from Fig UCS-66M Curve D = -32.38 °CUCS-66 governing thickness = 28 mm


Static liquid head:






Radiography: Longitudinal joint - Seamless No RTCircumferential joint - Full UW-11(a) Type 1



= 50 mm

t = 30 mm




P = S*E*t / (R + 0.60*t) - Ps= 138,000*1.00*26.8 / (1,832.2 + 0.60*26.8) - 37.92= 1,963.04 kPa




P = S*E*t / (R + 0.60*t)= 138,000*1.00*30 / (1,829 + 0.60*30)= 2,241.47 kPa



Pa = 4*B / (3*(Do / t))= 4*24,484.83 / (3*(3,718 / 11.78))= 103.42 kPa


ta = t + Corrosion = 11.78 + 3.2 = 14.98mm



Pa = 4*B / (3*(Do / t))= 4*80,171.92 / (3*(3,718 / 26.8))= 770.51 kPa


EFE = (50*t / Rf)*(1 - Rf / Ro)= (50*30 / 1,844)*(1 - 1,844 / ∞)= 0.8134%



= 0.125 / (1,859 / 26.8)= 0.001802

B = 100.03 MPa



S = 138 / 1.00 = 138 MPa



= 0.125 / (1,859 / 30)= 0.002017

B = 103.18 MPa

S = 138 / 1.00 = 138 MPa



= 0.125 / (1,859 / 30)= 0.002017

B = 103.18 MPa

S = 138 / 1.00 = 138 MPa



= 0.125 / (1,859 / 26.8)= 0.001802

B = 100.03 MPa

S = 138 / 1.00 = 138 MPa



= 0.125 / (1,859 / 26.8)= 0.001802

B = 100.03 MPa

S = 138 / 1.00 = 138 MPa




Filtrate Outlet (N2)


tw(lower) = 26.1 mmLeg41 = 22 mmtw(upper) = 28 mmLeg42 = 22 mmDp = 514.65 mmte = 28 mm


Located on: RH DishLiquid static head included: 34.2159 kPa


Nozzle longitudinal joint efficiency: 1Nozzle description: NPS 10 Sch 80 DN 250Pad material specification: SA-516 70 (II-D Metric p. 18, ln. 19) (normalized)Pad diameter: 514.65 mmFlange description: NPS 10 Class 150 WN A105Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 334, ln. 32)Flange rated MDMT: -29°C(UCS-66(b)(1)(b))Liquid static head on flange: 34.2159 kPaASME B16.5-2009 flange rating MAWP: 1,732 kPa @ 110°CASME B16.5-2009 flange rating MAP: 1,925.07 kPa @ 40°CASME B16.5-2009 flange hydro test: 2,900 kPa @ 40°CGasket Description: Flexitallic Spiral Wound CG 316 S.S.PWHT performed: NoCircumferential joint radiography: Full UW-11(a) Type 1Nozzle orientation: 180°Calculated as hillside: YesLocal vessel minimum thickness: 26.1 mmEnd of nozzle to datum line: -972 mmNozzle inside diameter, new: 242.87 mm



Nozzle nominal wall thickness: 15.09 mmNozzle corrosion allowance: 3.2 mmOpening chord length: 297.32 mmProjection available outside vessel, Lpr: 208.21 mmProjection available outside vessel to flange face, Lf: 309.81 mmDistance to head center, R: 1,454 mmPad is split: No




The vessel wall thickness governs the MAWP of this nozzle.




(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

68.873 72.018 0.0013 9.838 -- 53.2 8.9787 11.31 15.09


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

950,431 993,831 1,605,413 257,123 2,774,982 1,058,075 2,205,612








Nozzle is impact test exempt per UG-20(f).External nozzle loadings per UG-22 govern the coincident ratio used.


Nozzle UCS-66 governing thk: 15.09 mmNozzle rated MDMT: -29 °CPad UCS-66 governing thickness: 26.1 mmPad rated MDMT: -34.13 °CParallel Limit of reinforcement per UG-40

LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(297.32, 148.66 + (15.09 - 3.2) + (26.1 - 3.2))



= 297.32 mmOuter Normal Limit of reinforcement per UG-40

LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(26.1 - 3.2), 2.5*(15.09 - 3.2) + 28)= 57.25 mm


trn = P*Rn / (Sn*E - 0.6*P)= 1,726.5928*124.64 / (118,000*1 - 0.6*1,726.5928)= 1.84 mm


tr = P*D*K / (2*S*E - 0.2*P)= 1,726.59*3,664.4*0.997677 / (2*138,000.002*1 - 0.2*1,726.59)= 22.9 mm







A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (297.32*22.9*1 + 2*11.89*22.9*1*(1 - 0.8551)) / 100= 68.873 cm2








= 5*(tn - trn)*fr2*t= (5*(11.89 - 1.84)*0.8551*22.9) / 100= 9.838 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(11.89 - 1.84)*(2.5*11.89 + 28)*0.8551) / 100= 9.9187 cm2

A41 = Leg2*fr3= (222*0.8551) / 100= 4.1387 cm2

A42 = Leg2*fr4= (222*1) / 100= 4.84 cm2

A5 = (Dp - d - 2*tn)*te*fr4= ((514.65 - 324.65)*28*1) / 100= 53.2 cm2

Area = A1 + A2 + A41 + A42 + A5= 0.0013 + 9.838 + 4.1387 + 4.84 + 53.2= 72.018 cm2



Inner fillet: tmin = lesser of 19 mm or tn or te = 11.89 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mmtc(actual) = 0.7*Leg = 0.7*22 = 15.4 mm







ta UG-22 = 8.39 mm


tb1 = 26.1 mm


tb = min[ tb3 , tb1 ]= min[ 11.31 , 26.1 ]= 11.31 mm





Groove weld in tension: 0.74*138 = 102.12 MPaNozzle wall in shear: 0.7*118 = 82.6 MPaInner fillet weld in shear: 0.49*118 = 57.82 MPaOuter fillet weld in shear: 0.49*138 = 67.62 MPaUpper groove weld in tension: 0.74*138 = 102.12 MPa



Strength of welded joints:








W1-1 = (A2 + A5 + A41 + A42)*Sv= (983.8045 + 5,320 + 413.8701 + 483.999)*138= 993,831.11 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (983.8045 + 0 + 413.8701 + 0 + 2*11.89*22.9*0.8551)*138= 257,123.26 N

W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv= (983.8045 + 0 + 5,320 + 413.8701 + 483.999 + 0 + 2*11.89*22.9*0.8551)*138= 1,058,075.25 N






Applied Loads

Radial load: Pr = 15,850 NCircumferential moment: M1 = 20,254 N-mCircumferential shear: V2 = 15,850 NLongitudinal moment: M2 = 20,254 N-mLongitudinal shear: V1 = 15,850 NTorsion moment: Mt = 20,254 N-mInternal pressure: P = 1,726.59kPaHead yield stress: Sy = 237 MPa








b+Q) = 217.76 MPa


b+Q ) = +-3*S = +-414 MPa







Figure value Au Al Bu Bl Cu Cl Du DlSR-2* 0.0823 -2.489 -2.489 -2.489 -2.489 -2.489 -2.489 -2.489 -2.489

SR-2 0.0457 -8.288 8.288 -8.288 8.288 -8.288 8.288 -8.288 8.288

SR-3* 0.0965 0 0 0 0 -13.514 -13.514 13.514 13.514

SR-3 0.1071 0 0 0 0 -89.97 89.97 89.97 -89.97

SR-3* 0.0965 -13.514 -13.514 13.514 13.514 0 0 0 0

SR-3 0.1071 -89.97 89.97 89.97 -89.97 0 0 0 0

Pressure stress* 124.857 124.857 124.857 124.857 124.857 124.857 124.857 124.857

Total Ox stress 10.597 207.112 217.564 54.2 10.597 207.112 217.564 54.2


SR-2* 0.0252 -0.758 -0.758 -0.758 -0.758 -0.758 -0.758 -0.758 -0.758

SR-2 0.0138 -2.503 2.503 -2.503 2.503 -2.503 2.503 -2.503 2.503

SR-3* 0.029 0 0 0 0 -4.061 -4.061 4.061 4.061

SR-3 0.0325 0 0 0 0 -27.303 27.303 27.303 -27.303

SR-3* 0.029 -4.061 -4.061 4.061 4.061 0 0 0 0

SR-3 0.0325 -27.303 27.303 27.303 -27.303 0 0 0 0

Pressure stress* 124.857 124.857 124.857 124.857 124.857 124.857 124.857 124.857

Total Oy stress 90.232 149.844 152.96 103.359 90.232 149.844 152.96 103.359


Shear from Mt 2.627 2.627 2.627 2.627 2.627 2.627 2.627 2.627

Shear from V1 0 0 0 0 -0.951 -0.951 0.951 0.951

Shear from V2 0.951 0.951 -0.951 -0.951 0 0 0 0














b+Q) = 173.98 MPa


b+Q ) = +-3*S = +-414 MPa







Figure value Au Al Bu Bl Cu Cl Du DlSR-2* 0.1791 -1.096 -1.096 -1.096 -1.096 -1.096 -1.096 -1.096 -1.096

SR-2 0.1272 -4.668 4.668 -4.668 4.668 -4.668 4.668 -4.668 4.668

SR-3* 0.1641 0 0 0 0 -3.116 -3.116 3.116 3.116

SR-3 0.4224 0 0 0 0 -48.174 48.174 48.174 -48.174

SR-3* 0.1641 -3.116 -3.116 3.116 3.116 0 0 0 0

SR-3 0.4224 -48.174 48.174 48.174 -48.174 0 0 0 0

Pressure stress* 124.857 124.857 124.857 124.857 124.857 124.857 124.857 124.857

Total Ox stress 67.803 173.486 170.383 83.371 67.803 173.486 170.383 83.371


SR-2* 0.0536 -0.331 -0.331 -0.331 -0.331 -0.331 -0.331 -0.331 -0.331

SR-2 0.0388 -1.427 1.427 -1.427 1.427 -1.427 1.427 -1.427 1.427

SR-3* 0.0502 0 0 0 0 -0.951 -0.951 0.951 0.951

SR-3 0.1259 0 0 0 0 -14.362 14.362 14.362 -14.362

SR-3* 0.0502 -0.951 -0.951 0.951 0.951 0 0 0 0

SR-3 0.1259 -14.362 14.362 14.362 -14.362 0 0 0 0

Pressure stress* 124.857 124.857 124.857 124.857 124.857 124.857 124.857 124.857

Total Oy stress 107.786 139.364 138.412 112.543 107.786 139.364 138.412 112.543


Shear from Mt 3.399 3.399 3.399 3.399 3.399 3.399 3.399 3.399

Shear from V1 0 0 0 0 -0.724 -0.724 0.724 0.724

Shear from V2 0.724 0.724 -0.724 -0.724 0 0 0 0











2)) + M*Ro / I= 1,726.59 / 1000*124.64 / (2*11.89) - 15,850 / (π*(136.532 - 124.642)) + 2.8643E+07*136.53 / 8.3324E+07= 54.358 MPa



σshear = (VL2 + Vc

2)0.5 / (π*Ri*tn)= (15,8502 + 15,8502)0.5 / (π*124.64*11.89)= 4.816 MPa


= 20,254 / (2*π*124.642*11.89)= 17.456 MPa










(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

75.1894 78.3529 1.5716 14.6026 -- 53.2 8.9787 8.11 15.09


Weld loadW

Weld loadW1-1

Path 1-1strength

Weld loadW2-2

Path 2-2strength

Weld loadW3-3

Path 3-3strength

1,017,886 1,059,581 1,707,595 351,566 2,915,159 1,152,518 2,345,789









LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(289.92, 144.96 + (15.09 - 0) + (26.1 - 0))= 289.92 mm


LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(26.1 - 0), 2.5*(15.09 - 0) + 28)= 65.25 mm


trn = P*Rn / (Sn*E - 0.6*P)= 1,925.0652*121.44 / (118,000*1 - 0.6*1,925.0652)= 2 mm




tr = P*D*K / (2*S*E - 0.2*P)= 1,925.07*3,658*1 / (2*138,000.002*1 - 0.2*1,925.07)= 25.55 mm







A = d*tr*F + 2*tn*tr*F*(1 - fr1)= (289.92*25.55*1 + 2*15.09*25.55*1*(1 - 0.8551)) / 100= 75.1894 cm2






= 5*(tn - trn)*fr2*t= (5*(15.09 - 2)*0.8551*26.1) / 100= 14.6026 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(15.09 - 2)*(2.5*15.09 + 28)*0.8551) / 100= 14.7077 cm2



A41 = Leg2*fr3= (222*0.8551) / 100= 4.1387 cm2

A42 = Leg2*fr4= (222*1) / 100= 4.84 cm2

A5 = (Dp - d - 2*tn)*te*fr4= ((514.65 - 324.65)*28*1) / 100= 53.2 cm2

Area = A1 + A2 + A41 + A42 + A5= 1.5716 + 14.6026 + 4.1387 + 4.84 + 53.2= 78.3529 cm2







ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 1,925.0652*121.44 / (118,000*1 - 0.6*1,925.0652) + 0= 2 mm

ta UG-22 = 5.31 mm




= max[ 2 , 5.31 ]= 5.31 mm

tb1 = 25.55 mm


tb = min[ tb3 , tb1 ]= min[ 8.11 , 25.55 ]= 8.11 mm














W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv= (7,518.9421 - 157.161 + 2*15.09*0.8551*(1*26.1 - 1*25.55))*138= 1,017,885.78 N

W1-1 = (A2 + A5 + A41 + A42)*Sv= (1,460.2551 + 5,320 + 413.8701 + 483.999)*138= 1,059,581.31 N

W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv= (1,460.2551 + 0 + 413.8701 + 0 + 2*15.09*26.1*0.8551)*138= 351,565.91 N




Load for path 1-1 lesser of W or W1-1 = 1,017,885.78 NPath 1-1 through (2) & (3) = 1,202,612.08 + 504,982.72 = 1,707,594.8 NPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).







(mm)The nozzle

passes UG-45

Arequired


Awelds treq tmin

34.436 71.6625 0.0006 9.4832 -- 53.2 8.9787 10.62 15.09











LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(297.31, 148.66 + (15.09 - 3.2) + (26.1 - 3.2))= 297.31 mm




LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(26.1 - 3.2), 2.5*(15.09 - 3.2) + 28)= 57.25 mm









A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))= (0.5*(297.31*22.9*1 + 2*11.89*22.9*1*(1 - 0.8551))) / 100= 34.436 cm2









= (5*(11.89 - 2.2)*0.8551*22.9) / 100= 9.4832 cm2

= 2*(tn - trn)*(2.5*tn + te)*fr2= (2*(11.89 - 2.2)*(2.5*11.89 + 28)*0.8551) / 100= 9.5613 cm2

A41 = Leg2*fr3= (222*0.8551) / 100= 4.1387 cm2

A42 = Leg2*fr4= (222*1) / 100= 4.84 cm2

A5 = (Dp - d - 2*tn)*te*fr4= ((514.65 - 324.65)*28*1) / 100= 53.2 cm2

Area = A1 + A2 + A41 + A42 + A5= 0.0006 + 9.4832 + 4.1387 + 4.84 + 53.2= 71.6625 cm2







ta UG-28 = 8.05 mm



ta UG-22 = 8.05 mm


tb2 = 10.62 mm


tb = min[ tb3 , tb2 ]= min[ 11.31 , 10.62 ]= 10.62 mm






Pa = 4*B / (3*(Do / t))= 4*52,124.65 / (3*(273.05 / 2.2))= 560.27 kPa


ta = t + Corrosion = 2.2 + 3.2 = 5.4mm



Tabular Results



Model Notes• Load Case Report• Solution Data• ASME Code Stress Output Plots• Region Data• ASME Overstressed Areas• Highest Primary Stress Ratios• Highest Secondary Stress Ratios• Highest Fatigue Stress Ratios• Highest Occasional Stress Ratios• Stress Intensification Factors• Allowable Loads• Flexibilities• Graphical Results•

Model Notes

Input Echo:

Model Type : Elliptical Head

Parent Outside Diameter : 3710.200 mm.Thickness : 22.900 mm.Ellipse Ratio : 1.888Straight Flange Length : 50.000 mm.Attached Shell Length : 2460.000 mm.Attached Shell Thick : 26.100 mm.Shell Transition Length: 5.700 mm.Shell Transition SCF : 0.000 mm.Fillet Along Shell : 22.000 mm.

Parent Properties:Cold Allowable : 138.0 MPaHot Allowable : 138.0 MPaMaterial ID #2 : Low Alloy Steel



Ultimate Tensile (Amb) : 345.0 MPaYield Strength (Amb) : 262.0 MPaYield Strength (Hot) : 237.0 MPaElastic Modulus (Amb) : 201200.0 MPaPoissons Ratio : 0.300Weight Density : 0.7682E-04 N /cu.mm.(NOT USED)

Nozzle Outside Diameter : 273.050 mm.Thickness : 11.887 mm.Length : 399.307 mm.Nozzle Weld Length : 22.000 mm.RePad Width : 95.000 mm.RePad Thickness : 28.000 mm.Location perpendicularto the head centerline : 1454.000 mm.

Nozzle Tilt Angle : 0.000 deg.







Load Case FX FY FZ MX MY MZ



---------------------------------------------------------------------------WEIGHT: 15850.0 15850.0 15850.0 20254.0 -20254.0 -20254.0OPER: 15850.0 15850.0 15850.0 20254.0 -20254.0 -20254.0OCC: 15850.0 15850.0 15850.0 20254.0 -20254.0 -20254.0



The merge nodes tolerance has been set to 1.000000 mm..


Vessel Centerline Vector: 0.000 0.000 -1.000Nozzle Centerline Vector: 0.000 0.000 -1.000Zero Degree Orientation Vector: 0.000 1.000 0.000

Nozzle Orientation Angle :180.000

Table of Contents



1 WEIGHT ONLY



2 SUSTAINED





3 Thermal ONLY



4 OPERATING






6 OCCASIONAL


/-------- Loads in Case 6Loads due to WeightPressure Case 1Loads from (Occasional)













Table of Contents

Solution Data



Case # FX FY FZ

1 15850. -40637. 15850.2 15861. -18132408. -11699147.3 0. 0. 0.4 15861. -18132408. -11699147.5 31711. -18116558. -11683297.6 0. 0. -1344868.7 0. 0. 0.8 0. 0. 0.9 0. 0. 0.10 11. -18091771. -11714997.



Table of Contents




3) S1+S2+S3 < 4S (SUS,S1+S2+S3) Case 2








11) Pl < (1.5)(S) (OCC,Membrane) Case 6

12) Qb < 3(Smh) (OCC,Bending) Case 6

13) Pl+Pb+Q < SPS (EXP,Inside) Case 5

14) Pl+Pb+Q < SPS (EXP,Outside) Case 5



Table of Contents

Region Data

Pad Next to Nozzle 1

Cold Allowable ........... 138. MPaHot Allowable @ 110 deg .. 138. MPaCase 2Nominal Stress (M/Z) ... 0. MPa



Pressure Stress (Pd/2t) .. 139. MPaCase 4Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 6Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 11Nominal Stress (M/Z) ... 139. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 11.887 mm.Stress Concentration ..... 1.500

Nozzle 1 Next to Shell

Cold Allowable ........... 118. MPaHot Allowable @ 110 deg .. 118. MPaCase 2Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 4Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 6Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPa



Case 11Nominal Stress (M/Z) ... 139. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 11.887 mm.Stress Concentration ..... 1.500

Shell Next to Nozzle 1 Pad

Cold Allowable ........... 138. MPaHot Allowable @ 110 deg .. 138. MPaCase 2Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 4Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 6Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 11Nominal Stress (M/Z) ... 139. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 11.887 mm.Stress Concentration ..... 1.500

NOT USED

Cold Allowable ........... 118. MPaHot Allowable @ 110 deg .. 118. MPaCase 2Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 4Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 6Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPa



Case 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 11Nominal Stress (M/Z) ... 139. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 11.887 mm.Stress Concentration ..... 1.500

Nozzle 1 Pad Weld Area


Shell In Nozzle 1 Vicinity




Nozzle 1 Transition Area

Cold Allowable ........... 118. MPaHot Allowable @ 110 deg .. 118. MPaCase 2Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 4Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 6Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9



Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 11Nominal Stress (M/Z) ... 139. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 11.887 mm.Stress Concentration ..... 1.350

Barrel Section of Nozzle 1


Nozzle 1




Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 6Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 11Nominal Stress (M/Z) ... 139. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 11.887 mm.Stress Concentration ..... 1.000

Pad at Nozzle 1

Cold Allowable ........... 138. MPaHot Allowable @ 110 deg .. 138. MPaCase 2Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 4Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 6Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 139. MPaCase 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 11Nominal Stress (M/Z) ... 139. MPa




Table of Contents



Table of Contents




38%



44%



57%






58%

Nozzle 1


40%

Table of Contents




33%



33%



46%






36%

Nozzle 1


16%

Table of Contents







Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Outer) Load Case 5105 0.000 Life Stress Concentration Factor = 1.500



MPa 0.008 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 258,376.Allowable "B31" Fatigue Stress Allowable = 345.012,300.7 Markl Fatigue Stress Allowable = 1689.2MPa Plot Reference:16) Pl+Pb+Q+F < Sa (EXP,Outside) Case 50%


Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Inner) Load Case 571 0.000 Life Stress Concentration Factor = 1.000MPa 0.006 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 25,353,806.Allowable "B31" Fatigue Stress Allowable = 345.012,300.7 Markl Fatigue Stress Allowable = 1689.2MPa Plot Reference:15) Pl+Pb+Q+F < Sa (EXP,Inside) Case 50%

Nozzle 1


Table of Contents



Pl (1.5)(S) Primary Membrane Load Case 668 207 Plot Reference:MPa MPa 11) Pl < (1.5)(S) (OCC,Membrane) Case 6

32%

Qb 3(Smh) Primary Bending Load Case 6126 414 Plot Reference:



MPa MPa 12) Qb < 3(Smh) (OCC,Bending) Case 6

30%



75%

Qb 3(Smh) Primary Bending Load Case 6185 354 Plot Reference:MPa MPa 12) Qb < 3(Smh) (OCC,Bending) Case 6

52%



53%


41%



53%


16%



Nozzle 1


70%


11%

Table of Contents






B31.3Peak Stress Sif .... 0.000 Axial3.080 Inplane3.933 Outplane1.000 TorsionalB31.1



Peak Stress Sif .... 0.000 Axial3.933 Inplane3.933 Outplane3.933 TorsionalWRC 330Peak Stress Sif .... 0.000 Axial7.577 Inplane3.933 Outplane7.577 Torsional

Table of Contents

Allowable Loads



NOTES:



3) The Realistic Allowable Simultaneous loads are the



maximum loads that can be applied simultaneously. Amore realistic stress combination equation is usedbased on experience at Paulin Research. Stresses aretypically produced within 80-105% of the allowable.



Table of Contents

Flexibilities




Table of Contents





Area of Discontinuity at Nozzle

1) Pl < (1.5)(S) (SUS Membrane) Case 2• 2) Qb < SPS (SUS Bending) Case 2• 3) S1+S2+S3 < 4S (SUS S1+S2+S3) Case 2• 4) Pl+Pb+Q < SPS (OPE Inside) Case 4• 5) Pl+Pb+Q < SPS (OPE Outside) Case 4• 11) Pl < (1.5)(S) (OCC Membrane) Case 6• 12) Qb < 3(Smh) (OCC Bending) Case 6• 13) Pl+Pb+Q < SPS (EXP Inside) Case 5• 14) Pl+Pb+Q < SPS (EXP Outside) Case 5• 15) Pl+Pb+Q+F < Sa (EXP Inside) Case 5• 16) Pl+Pb+Q+F < Sa (EXP Outside) Case 5• 6) Pl+Pb+Q+F < Sa (SIF Outside) Case 7• 7) Pl+Pb+Q+F < Sa (SIF Outside) Case 8• 8) Pl+Pb+Q+F < Sa (SIF Outside) Case 9• 9) Pl+Pb+Q+F < Sa (SIF Outside) Case 10• 10) Pl+Pb+Q+F < Sa (SIF Outside) Case 11•

Tabular Results





















RH Dish

ASME Section VIII, Division 1, 2010 Edition, A11 Addenda Metric

Component: Ellipsoidal HeadMaterial Specification: SA-516 70 (II-D Metric p.18, ln. 19)Straight Flange governs MDMT


Static liquid head:

Ps= 37.92 kPa (SG=1, Hs=3870.2 mm Operating head)Pth= 41.32 kPa (SG=1, Hs=4217 mm Horizontal test head)


Design MDMT = -5°C No impact test performedRated MDMT = -32.38°C Material is normalized

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

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

Estimatedweight*: new = 3,331.9 kg corr = 2,931.7 kg

Capacity*: new = 6,932.7 liters corr = 6,979.5 liters* includes straight flange

Inner diameter = 3658 mmMinimum head thickness = 26.1 mmHead ratio D/2h = 2 (new)Head ratio D/2h = 1.9965 (corroded)Straight flange length Lsf = 50 mmNominal straight flange thickness tsf = 30 mmResults Summary

The governing condition is internal pressure.Minimum thickness per UG-16 = 1.5 mm + 3.2 mm = 4.7 mmDesign thickness due to internal pressure (t) = 26.05 mmDesign thickness due to external pressure (te) = 12.72 mmMaximum allowable working pressure (MAWP) = 1,688.71 kPaMaximum allowable pressure (MAP) = 1,966.47 kPaMaximum allowable external pressure (MAEP) = 560.27 kPa



K (Corroded)

K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (3,664.4 / (2*917.7))2]=0.997677

K (New)

K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (3,658 / (2*914.5))2]=1

Design thickness for internal pressure, (Corroded at 110 °C) Appendix 1-4(c)

t = P*D*K / (2*S*E - 0.2*P) + Corrosion= 1,722.92*3,664.4*0.997677 / (2*138,000.002*1 - 0.2*1,722.92) + 3.2= 26.05 mm

The head internal pressure design thickness is 26.05 mm.

Maximum allowable working pressure, (Corroded at 110 °C) Appendix 1-4(c)

P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*138,000.002*1*22.9 / (0.997677*3,664.4 +0.2*22.9) - 37.92= 1,688.71 kPa

The maximum allowable working pressure (MAWP) is 1,688.71 kPa.

Maximum allowable pressure, (New at 40 °C) Appendix 1-4(c)

P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*138,000.002*1*26.1 / (1*3,658 +0.2*26.1) - 0= 1,966.47 kPa

The maximum allowable pressure (MAP) is 1,966.47 kPa.

Design thickness for external pressure, (Corroded at 50 °C) UG-33(d)

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

= 0.8875*3,710.2= 3,292.85 mm

A = 0.125 / (Ro / t)= 0.125 / (3,292.85 / 9.51)= 0.000361

From Table CS-2Metric: B = 35.7978

MPa

Pa = B / (Ro / t)= 35,797.84 / (3,292.85 / 9.51)= 103.4214 kPa



t = 9.51 mm + Corrosion = 9.51 mm + 3.2 mm = 12.71 mmCheck the external pressure per UG-33(a)(1) Appendix 1-4(c)

t = 1.67*Pe*D*K / (2*S*E - 0.2*1.67*Pe) + Corrosion= 1.67*103.42*3,664.4*0.997677 / (2*138,000.002*1 - 0.2*1.67*103.42) + 3.2= 5.49 mm

The head external pressure design thickness (te) is 12.71 mm.

Maximum Allowable External Pressure, (Corroded at 50 °C) UG-33(d)


= 0.8875*3,710.2= 3,292.85 mm

A = 0.125 / (Ro / t)= 0.125 / (3,292.85 / 22.9)= 0.000869


MPa

Pa = B / (Ro / t)= 80,564.51 / (3,292.85 / 22.9)= 560.2727 kPa

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

P = 2*S*E*t / ((K*D + 0.2*t)*1.67) - Ps2= 2*138,000.002*1*22.9 / ((0.997677*3,664.4 +0.2*22.9)*1.67) - 0= 1,033.91 kPa

The maximum allowable external pressure (MAEP) is 560.27 kPa.


EFE = (75*t / Rf)*(1 - Rf / Ro)= (75*30 / 636.86)*(1 - 636.86 / ∞)= 3.533%




LH Dish

ASME Section VIII, Division 1, 2010 Edition, A11 Addenda Metric

Component: Ellipsoidal HeadMaterial Specification: SA-516 70 (II-D Metric p.18, ln. 19)Straight Flange governs MDMT


Static liquid head:

Ps= 37.92 kPa (SG=1, Hs=3870.2 mm Operating head)Pth= 41.32 kPa (SG=1, Hs=4217 mm Horizontal test head)


Design MDMT = -5°C No impact test performedRated MDMT = -32.38°C Material is normalized

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

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

Estimatedweight*: new = 3,250.6 kg corr = 2,860.4 kg

Capacity*: new = 6,932.7 liters corr = 6,979.5 liters* includes straight flange

Inner diameter = 3658 mmMinimum head thickness = 26.1 mmHead ratio D/2h = 2 (new)Head ratio D/2h = 1.9965 (corroded)Straight flange length Lsf = 50 mmNominal straight flange thickness tsf = 30 mmResults Summary

The governing condition is internal pressure.Minimum thickness per UG-16 = 1.5 mm + 3.2 mm = 4.7 mmDesign thickness due to internal pressure (t) = 26.05 mmDesign thickness due to external pressure (te) = 12.72 mmMaximum allowable working pressure (MAWP) = 1,688.71 kPaMaximum allowable pressure (MAP) = 1,966.47 kPaMaximum allowable external pressure (MAEP) = 560.27 kPa



K (Corroded)

K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (3,664.4 / (2*917.7))2]=0.997677

K (New)

K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (3,658 / (2*914.5))2]=1

Design thickness for internal pressure, (Corroded at 110 °C) Appendix 1-4(c)

t = P*D*K / (2*S*E - 0.2*P) + Corrosion= 1,722.92*3,664.4*0.997677 / (2*138,000.002*1 - 0.2*1,722.92) + 3.2= 26.05 mm

The head internal pressure design thickness is 26.05 mm.

Maximum allowable working pressure, (Corroded at 110 °C) Appendix 1-4(c)

P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*138,000.002*1*22.9 / (0.997677*3,664.4 +0.2*22.9) - 37.92= 1,688.71 kPa

The maximum allowable working pressure (MAWP) is 1,688.71 kPa.

Maximum allowable pressure, (New at 40 °C) Appendix 1-4(c)

P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*138,000.002*1*26.1 / (1*3,658 +0.2*26.1) - 0= 1,966.47 kPa

The maximum allowable pressure (MAP) is 1,966.47 kPa.

Design thickness for external pressure, (Corroded at 50 °C) UG-33(d)


= 0.8875*3,710.2= 3,292.85 mm

A = 0.125 / (Ro / t)= 0.125 / (3,292.85 / 9.51)= 0.000361


MPa

Pa = B / (Ro / t)= 35,797.84 / (3,292.85 / 9.51)= 103.4214 kPa



t = 9.51 mm + Corrosion = 9.51 mm + 3.2 mm = 12.71 mmCheck the external pressure per UG-33(a)(1) Appendix 1-4(c)

t = 1.67*Pe*D*K / (2*S*E - 0.2*1.67*Pe) + Corrosion= 1.67*103.42*3,664.4*0.997677 / (2*138,000.002*1 - 0.2*1.67*103.42) + 3.2= 5.49 mm

The head external pressure design thickness (te) is 12.71 mm.

Maximum Allowable External Pressure, (Corroded at 50 °C) UG-33(d)


= 0.8875*3,710.2= 3,292.85 mm

A = 0.125 / (Ro / t)= 0.125 / (3,292.85 / 22.9)= 0.000869


MPa

Pa = B / (Ro / t)= 80,564.51 / (3,292.85 / 22.9)= 560.2727 kPa

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

P = 2*S*E*t / ((K*D + 0.2*t)*1.67) - Ps2= 2*138,000.002*1*22.9 / ((0.997677*3,664.4 +0.2*22.9)*1.67) - 0= 1,033.91 kPa

The maximum allowable external pressure (MAEP) is 560.27 kPa.


EFE = (75*t / Rf)*(1 - Rf / Ro)= (75*30 / 636.86)*(1 - 636.86 / ∞)= 3.533%




Lifting Lug-1

Geometry Inputs

Attached To Shell-2

Material SA-516 Gr.70

Orientation Circumferential

Distance of Lift Point From Datum 304 mm

Angular Position 24.00°

Length of Lug, L 254 mm

Height of Lug, H 187 mm

Thickness of Lug, t 38 mm

Hole Diameter, d 53.32 mm

Pin Diameter, Dp 45 mm

Load Eccentricity, a1 0 mm

Distance from Load to Shell or Pad, a2 81 mm

Weld Size, tw 20 mm

Width of Pad, Bp 120 mm

Length of Pad, Lp 350 mm

Pad Thickness, tp 28 mm

Pad Weld Size, twp 20 mm

Load Angle Normal to Vessel, β 45.0000 °

Load Angle from Vertical, φ 21.0000 °



Intermediate Values

Load Factor 2.5000

Vessel Weight (new, incl. Load Factor), W 50758 kg

Lug Weight (new), Wlug 25 kg

Allowable Stress, Tensile, σt 137.757 MPa

Allowable Stress, Shear, σs 91.838 MPa

Allowable Stress, Bearing, σp 206.636 MPa

Allowable Stress, Bending, σb 153.071 MPa

Allowable Stress, Weld Shear, τallowable 91.838 MPa

Allowable Stress set to 1/3 Sy per ASME B30.20 No

Summary Values

Required Lift Pin Diameter, dreqd 29.06 mm

Required Lug Thickness, treqd 13.1 mm

Lug Stress Ratio, σratio 0.18

Weld Shear Stress Ratio, τratio 0.31

Lug Design Acceptable

Local Stresses Acceptable

Lift Forces

Fr = force on vessel at lugFr = 0.5*[W / cos(φ1)]*(1 - x1 / (x1 + x2))

= (25,379.1*9.8) / cos(21.0000)*(1 - 1,298.64/ (1,298.64 +1,093.36))

= 121,856.3 Nwhere 'x1' is the distance between this lug and the center of gravity

'x2' is the distance between the second lift lug and the center ofgravity

Lug Pin Diameter - Shear stress

dreqd = (2*Fr / (π*σs))0.5

= (2*121,856.3 / (π*91.84))0.5 = 29.06 mm

dreqd / Dp = 29.06 / 45 = 0.65 Acceptable



σ = Fr / A= Fr / (2*(0.25*π*Dp

2))= 121,856.3 / (2*(0.25*π*452)) = 38.31 MPa

σ / σs = 38.31 / 91.84 = 0.42 Acceptable

Lug Thickness - Tensile stress

treqd = Fr / ((L - d)*σt)= 121,856.3 / ((254 - 53.32)*137.76) = 4.41 mm

treqd / t = 4.41 / 38 = 0.12 Acceptable

σ = Fr / A= Fr / ((L - d)*t)= 121,856.3 / ((254 - 53.32)*38) = 15.98 MPa

σ / σt = 15.98 / 137.76 = 0.12 Acceptable

Lug Thickness - Bearing stress

treqd = Fv / (Dp*σp)= 121,856.3 / (45*206.64) = 13.1 mm


σ = Fv / Abearing= Fv / (Dp*(t))= 121,856.3 / (45*(38)) = 71.26 MPa

σ / σp = 71.26 / 206.64 = 0.34 Acceptable

Lug Thickness - Shear stress

treqd = [Fv / σs] / (2*Lshear)= (121,856.3 / 91.84) / (2*86.33) = 7.68 mm


τ = Fv / Ashear= Fv / (2*t*Lshear )



= 121,856.3 / (2*38*86.33) = 18.57 MPa

τ / σs = 18.57 / 91.84 = 0.2 Acceptable

Shear stress length (per Pressure Vessel and Stacks, A. Keith Escoe)

φ = 55*Dp / d= 55*45 / 53.32= 46.4213°

Lshear = (H - a2 - 0.5*d) + 0.5*Dp*(1 - cos(φ))= (187 - 81 - 0.5*53.32) + 0.5*45*(1 - cos(46.4213))= 86.33 mm

Lug Plate Stress

Lug stress tensile + bending during lift:σ ratio = [Ften / (Aten*σt)] + [Mbend / (Zbend*σb)] • 1

= [(Fr*cos(α) ) / (t*L*σt)] + [(6*abs(Fr*sin(α)*Hght - Fr*cos(α)*a1) ) / (t*L2*σb)] • 1

= 121,856.3*cos(45.0) / (38*254*137.76) + 6*abs(121,856.3*sin(45.0)*81 - 121,856.3*cos(45.0)*0) /(38*2542*153.07)

= 0.18 Acceptable

Weld Stress

Weld stress, tensile, bending and shear during lift:

Direct shear:

Shear stress at lift angle 45.00°; lift force = 121,856.3 N

Aweld = 2*(0.707)*tw*(L + t)= 2*(0.707)*20*(254 + 38) = 8,257.76 mm2

τt = Fr*cos(α) / Aweld= 121,856.3*cos(45.0) / 8,257.76 = 10.43 MPa

τs = Fr*sin(α) / Aweld



= 121,856.3*sin(45.0) / 8,257.76 = 10.43 MPa

τb = M * c / I= 3*(Fr*sin(α)*Hght - Fr*cos(α)*a1) / (0.707*h*L*(3*t + L))= 3*abs(121,856.3*sin(45.0)*81 - 121,856.3*cos(45.0)*(0)) / (1321694.0800)= 15.84 MPa

τ ratio = sqr( (τt + τb)2 + τs2 ) / τallowable • 1

= sqr ( (10.43 + 15.84)2 + (10.43)2 ) / 91.84= 0.31 Acceptable

Pad Weld Stress, tensile, bending and shear during lift:

Direct shear:


Aweld = 2*(0.707)*twp*(Lp + Bp)= 2*(0.707)*20*(350 + 120) = 13,291.6 mm2


τs = Fr*sin(α) / Aweld= 121,856.3*sin(45.0) / 13,291.6 = 6.48 MPa

τb = M * c / I= 3*(Fr*sin(α)*Hght - Fr*cos(α)*a1) / (0.707*hp*Lp*(3*Wp + Lp))= 3*abs(121,856.3*sin(45.0)*109 - 121,856.3*cos(45.0)*(0)) / (3513790.0000)= 8.02 MPa


= sqr ( (6.48 + 8.02)2 + (6.48)2 ) / 91.84= 0.17 Acceptable

WRC 107 Analysis

Geometry

Height(radial): 187 mm Pad Thickness: 28mm

Width (circumferential): 38 mm Pad Width: 120mm

Length 254 mm Pad Length:



350mm

Fillet Weld Size: 20 mm Pad Weld Size: 20mm

Located on: Shell-2 (235 mm from right end)Location Angle: 24.00°

Applied Loads

Radial load: Pr = -86,165.42NCircumferential moment: Mc = 9,392.03 N-mCircumferential shear: Vc = 86,165.42 NLongitudinal moment: ML = 0 N-mLongitudinal shear: VL = 0 NTorsion moment: Mt = 0 N-mInternal pressure: P = 0 kPaMean shell radius: Rm = 1,843 mmShell yield stress: Sy = 262 MPa



Maximum stresses due to the applied loads at the lug edge (includes pressure)

Rm / t = 1,843 / 56 = 32.9107

C1 = 39, C2 = 147 mm

Local circumferential pressure stress = P*Ri / t =0 MPa

Local longitudinal pressure stress = P*Ri / (2*t) =0 MPa


b+Q) = 69.77 MPa


b+Q) = +-3*S = +-414 MPa






Stresses at the lug edge per WRC Bulletin 107

Figure value β Au Al Bu Bl Cu Cl Du Dl3C* 5.9698 0.0604 0 0 0 0 4.985 4.985 4.985 4.985

4C* 6.3331 0.0491 5.288 5.288 5.288 5.288 0 0 0 0

1C 0.2402 0.0363 0 0 0 0 39.597 -39.597 39.597 -39.597

2C-1 0.1902 0.0363 31.357 -31.357 31.357 -31.357 0 0 0 0

3A* 0.232 0.0329 0 0 0 0 -0.097 -0.097 0.097 0.097

1A 0.107 0.0416 0 0 0 0 -25.09 25.09 25.09 -25.09

3B* 1.7137 0.0513 0 0 0 0 0 0 0 0

1B-1 0.0602 0.0454 0 0 0 0 0 0 0 0

Pressure stress* 0 0 0 0 0 0 0 0

Total circumferential stress 36.646 -26.069 36.646 -26.069 19.395 -9.618 69.768 -59.605


3C* 6.2073 0.0491 5.185 5.185 5.185 5.185 0 0 0 0

4C* 6.2173 0.0604 0 0 0 0 5.192 5.192 5.192 5.192

1C-1 0.205 0.0511 33.798 -33.798 33.798 -33.798 0 0 0 0

2C 0.1588 0.0511 0 0 0 0 26.179 -26.179 26.179 -26.179

4A* 0.3029 0.0329 0 0 0 0 -0.221 -0.221 0.221 0.221

2A 0.0618 0.0561 0 0 0 0 -10.742 10.742 10.742 -10.742

4B* 0.4316 0.0513 0 0 0 0 0 0 0 0

2B-1 0.0952 0.0616 0 0 0 0 0 0 0 0




Total longitudinal stress 38.983 -28.613 38.983 -28.613 20.408 -10.466 42.334 -31.509


Shear from Mt 0 0 0 0 0 0 0 0


Long shear from VL 0 0 0 0 0 0 0 0

Total Shear stress 9.866 9.866 -9.866 -9.866 0 0 0 0






Rm / t = 1,843 / 28 = 65.8214

C1 = 80, C2 = 195 mm




b+Q) = 175.16 MPa


b+Q) = +-3*S = +-414 MPa








4C* 11.3708 0.0784 18.988 18.988 18.988 18.988 0 0 0 0

1C 0.1508 0.0614 0 0 0 0 99.443 -99.443 99.443 -99.443

2C-1 0.1134 0.0614 74.781 -74.781 74.781 -74.781 0 0 0 0

3A* 1.5265 0.0584 0 0 0 0 -1.089 -1.089 1.089 1.089

1A 0.0992 0.0654 0 0 0 0 -59.116 59.116 59.116 -59.116

3B* 6.707 0.0786 0 0 0 0 0 0 0 0

1B-1 0.049 0.0704 0 0 0 0 0 0 0 0




3C* 10.119 0.0784 16.899 16.899 16.899 16.899 0 0 0 0

4C* 11.0214 0.0933 0 0 0 0 18.402 18.402 18.402 18.402

1C-1 0.1261 0.0811 83.151 -83.151 83.151 -83.151 0 0 0 0

2C 0.0875 0.0811 0 0 0 0 57.702 -57.702 57.702 -57.702

4A* 2.1028 0.0584 0 0 0 0 -2.296 -2.296 2.296 2.296

2A 0.0534 0.0813 0 0 0 0 -25.614 25.614 25.614 -25.614

4B* 1.9653 0.0786 0 0 0 0 0 0 0 0

2B-1 0.0684 0.0871 0 0 0 0 0 0 0 0






Shear from Mt 0 0 0 0 0 0 0 0








Lifting Lug-2

Geometry Inputs

Attached To Shell-2



Distance of Lift Point From Datum 304 mm

Angular Position -24.00°








Weld Size, tw 20 mm





Load Angle Normal to Vessel, β -45.0000 °

Load Angle from Vertical, φ -21.0000 °



Intermediate Values

Load Factor 2.5000









Summary Values







Lift Forces


= (25,379.1*9.8) / cos(-21.0000)*(1 - 1,298.64/ (1,298.64 +1,093.36))




dreqd = (2*Fr / (π*σs))0.5

= (2*121,856.3 / (π*91.84))0.5 = 29.06 mm




σ = Fr / A= Fr / (2*(0.25*π*Dp

2))= 121,856.3 / (2*(0.25*π*452)) = 38.31 MPa

σ / σs = 38.31 / 91.84 = 0.42 Acceptable


treqd = Fr / ((L - d)*σt)= 121,856.3 / ((254 - 53.32)*137.76) = 4.41 mm


σ = Fr / A= Fr / ((L - d)*t)= 121,856.3 / ((254 - 53.32)*38) = 15.98 MPa

σ / σt = 15.98 / 137.76 = 0.12 Acceptable


treqd = Fv / (Dp*σp)= 121,856.3 / (45*206.64) = 13.1 mm



σ / σp = 71.26 / 206.64 = 0.34 Acceptable







= 121,856.3 / (2*38*86.33) = 18.57 MPa

τ / σs = 18.57 / 91.84 = 0.2 Acceptable


φ = 55*Dp / d= 55*45 / 53.32= 46.4213°


Lug Plate Stress



= 121,856.3*cos(-45.0) / (38*254*137.76) + 6*abs(121,856.3*sin(-45.0)*81 - 121,856.3*cos(-45.0)*0)/ (38*2542*153.07)

= 0.18 Acceptable

Weld Stress


Direct shear:

Shear stress at lift angle -45.00°; lift force = 121,856.3 N

Aweld = 2*(0.707)*tw*(L + t)= 2*(0.707)*20*(254 + 38) = 8,257.76 mm2

τt = Fr*cos(α) / Aweld= 121,856.3*cos(-45.0) / 8,257.76 = 10.43 MPa




= 121,856.3*sin(-45.0) / 8,257.76 = -10.43 MPa

τb = M * c / I= 3*(Fr*sin(α)*Hght - Fr*cos(α)*a1) / (0.707*h*L*(3*t + L))= 3*abs(121,856.3*sin(-45.0)*81 - 121,856.3*cos(-45.0)*(0)) / (1321694.0800)= 15.84 MPa


= sqr ( (10.43 + 15.84)2 + (-10.43)2 ) / 91.84= 0.31 Acceptable


Direct shear:


Aweld = 2*(0.707)*twp*(Lp + Bp)= 2*(0.707)*20*(350 + 120) = 13,291.6 mm2


τs = Fr*sin(α) / Aweld= 121,856.3*sin(-45.0) / 13,291.6 = -6.48 MPa

τb = M * c / I= 3*(Fr*sin(α)*Hght - Fr*cos(α)*a1) / (0.707*hp*Lp*(3*Wp + Lp))= 3*abs(121,856.3*sin(-45.0)*109 - 121,856.3*cos(-45.0)*(0)) / (3513790.0000)= 8.02 MPa


= sqr ( (6.48 + 8.02)2 + (-6.48)2 ) / 91.84= 0.17 Acceptable

WRC 107 Analysis

Geometry






350mm


Located on: Shell-2 (235 mm from right end)Location Angle: -24.00°

Applied Loads

Radial load: Pr = -86,165.42NCircumferential moment: Mc = -9,392.03 N-mCircumferential shear: Vc = -86,165.42NLongitudinal moment: ML = 0 N-mLongitudinal shear: VL = 0 NTorsion moment: Mt = 0 N-mInternal pressure: P = 0 kPaMean shell radius: Rm = 1,843 mmShell yield stress: Sy = 262 MPa




Rm / t = 1,843 / 56 = 32.9107

C1 = 39, C2 = 147 mm




b+Q) = 69.77 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.3331 0.0491 5.288 5.288 5.288 5.288 0 0 0 0

1C 0.2402 0.0363 0 0 0 0 39.597 -39.597 39.597 -39.597

2C-1 0.1902 0.0363 31.357 -31.357 31.357 -31.357 0 0 0 0

3A* 0.232 0.0329 0 0 0 0 0.097 0.097 -0.097 -0.097

1A 0.107 0.0416 0 0 0 0 25.09 -25.09 -25.09 25.09

3B* 1.7137 0.0513 0 0 0 0 0 0 0 0

1B-1 0.0602 0.0454 0 0 0 0 0 0 0 0




3C* 6.2073 0.0491 5.185 5.185 5.185 5.185 0 0 0 0

4C* 6.2173 0.0604 0 0 0 0 5.192 5.192 5.192 5.192

1C-1 0.205 0.0511 33.798 -33.798 33.798 -33.798 0 0 0 0

2C 0.1588 0.0511 0 0 0 0 26.179 -26.179 26.179 -26.179

4A* 0.3029 0.0329 0 0 0 0 0.221 0.221 -0.221 -0.221

2A 0.0618 0.0561 0 0 0 0 10.742 -10.742 -10.742 10.742

4B* 0.4316 0.0513 0 0 0 0 0 0 0 0

2B-1 0.0952 0.0616 0 0 0 0 0 0 0 0






Shear from Mt 0 0 0 0 0 0 0 0

Circ shear from Vc -9.866 -9.866 9.866 9.866 0 0 0 0


Total Shear stress -9.866 -9.866 9.866 9.866 0 0 0 0






Rm / t = 1,843 / 28 = 65.8214

C1 = 80, C2 = 195 mm




b+Q) = 175.16 MPa


b+Q) = +-3*S = +-414 MPa








4C* 11.3708 0.0784 18.988 18.988 18.988 18.988 0 0 0 0

1C 0.1508 0.0614 0 0 0 0 99.443 -99.443 99.443 -99.443

2C-1 0.1134 0.0614 74.781 -74.781 74.781 -74.781 0 0 0 0

3A* 1.5265 0.0584 0 0 0 0 1.089 1.089 -1.089 -1.089

1A 0.0992 0.0654 0 0 0 0 59.116 -59.116 -59.116 59.116

3B* 6.707 0.0786 0 0 0 0 0 0 0 0

1B-1 0.049 0.0704 0 0 0 0 0 0 0 0




3C* 10.119 0.0784 16.899 16.899 16.899 16.899 0 0 0 0

4C* 11.0214 0.0933 0 0 0 0 18.402 18.402 18.402 18.402

1C-1 0.1261 0.0811 83.151 -83.151 83.151 -83.151 0 0 0 0

2C 0.0875 0.0811 0 0 0 0 57.702 -57.702 57.702 -57.702

4A* 2.1028 0.0584 0 0 0 0 2.296 2.296 -2.296 -2.296

2A 0.0534 0.0813 0 0 0 0 25.614 -25.614 -25.614 25.614

4B* 1.9653 0.0786 0 0 0 0 0 0 0 0

2B-1 0.0684 0.0871 0 0 0 0 0 0 0 0






Shear from Mt 0 0 0 0 0 0 0 0








Lifting Lug-3

Geometry Inputs

Attached To Shell-1



Distance of Lift Point From Datum 2,696 mm

Angular Position 24.00°








Weld Size, tw 20 mm





Load Angle Normal to Vessel, β 45.0000 °

Load Angle from Vertical, φ 21.0000 °



Intermediate Values

Load Factor 2.5000









Summary Values







Lift Forces


= (25,379.1*9.8) / cos(21.0000)*(1 - 1,093.36/ (1,093.36 +1,298.64))




dreqd = (2*Fr / (π*σs))0.5

= (2*144,734.3 / (π*91.84))0.5 = 31.67 mm




σ = Fr / A= Fr / (2*(0.25*π*Dp

2))= 144,734.3 / (2*(0.25*π*452)) = 45.5 MPa

σ / σs = 45.5 / 91.84 = 0.5 Acceptable


treqd = Fr / ((L - d)*σt)= 144,734.3 / ((254 - 53.32)*137.76) = 5.24 mm


σ = Fr / A= Fr / ((L - d)*t)= 144,734.3 / ((254 - 53.32)*38) = 18.98 MPa

σ / σt = 18.98 / 137.76 = 0.14 Acceptable


treqd = Fv / (Dp*σp)= 144,734.3 / (45*206.64) = 15.57 mm



σ / σp = 84.64 / 206.64 = 0.41 Acceptable







= 144,734.3 / (2*38*86.33) = 22.06 MPa

τ / σs = 22.06 / 91.84 = 0.24 Acceptable


φ = 55*Dp / d= 55*45 / 53.32= 46.4213°


Lug Plate Stress



= 144,734.3*cos(45.0) / (38*254*137.76) + 6*abs(144,734.3*sin(45.0)*81 - 144,734.3*cos(45.0)*0) /(38*2542*153.07)

= 0.21 Acceptable

Weld Stress


Direct shear:


Aweld = 2*(0.707)*tw*(L + t)= 2*(0.707)*20*(254 + 38) = 8,257.76 mm2





= 144,734.3*sin(45.0) / 8,257.76 = 12.39 MPa

τb = M * c / I= 3*(Fr*sin(α)*Hght - Fr*cos(α)*a1) / (0.707*h*L*(3*t + L))= 3*abs(144,734.3*sin(45.0)*81 - 144,734.3*cos(45.0)*(0)) / (1321694.0800)= 18.82 MPa


= sqr ( (12.39 + 18.82)2 + (12.39)2 ) / 91.84= 0.37 Acceptable


Direct shear:


Aweld = 2*(0.707)*twp*(Lp + Bp)= 2*(0.707)*20*(350 + 120) = 13,291.6 mm2


τs = Fr*sin(α) / Aweld= 144,734.3*sin(45.0) / 13,291.6 = 7.7 MPa

τb = M * c / I= 3*(Fr*sin(α)*Hght - Fr*cos(α)*a1) / (0.707*hp*Lp*(3*Wp + Lp))= 3*abs(144,734.3*sin(45.0)*109 - 144,734.3*cos(45.0)*(0)) / (3513790.0000)= 9.52 MPa


= sqr ( (7.7 + 9.52)2 + (7.7)2 ) / 91.84= 0.21 Acceptable

WRC 107 Analysis

Geometry






350mm


Located on: Shell-1 (273 mm from left end)Location Angle: 24.00°

Applied Loads

Radial load: Pr = -102,342.58NCircumferential moment: Mc = 11,155.34 N-mCircumferential shear: Vc = 102,342.58 NLongitudinal moment: ML = 0 N-mLongitudinal shear: VL = 0 NTorsion moment: Mt = 0 N-mInternal pressure: P = 0 kPaMean shell radius: Rm = 1,843 mmShell yield stress: Sy = 262 MPa




Rm / t = 1,843 / 56 = 32.9107

C1 = 39, C2 = 147 mm




b+Q) = 82.88 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.3331 0.0491 6.281 6.281 6.281 6.281 0 0 0 0

1C 0.2402 0.0363 0 0 0 0 47.036 -47.036 47.036 -47.036

2C-1 0.1902 0.0363 37.245 -37.245 37.245 -37.245 0 0 0 0

3A* 0.232 0.0329 0 0 0 0 -0.117 -0.117 0.117 0.117

1A 0.107 0.0416 0 0 0 0 -29.799 29.799 29.799 -29.799

3B* 1.7137 0.0513 0 0 0 0 0 0 0 0

1B-1 0.0602 0.0454 0 0 0 0 0 0 0 0




3C* 6.2073 0.0491 6.157 6.157 6.157 6.157 0 0 0 0

4C* 6.2173 0.0604 0 0 0 0 6.164 6.164 6.164 6.164

1C-1 0.205 0.0511 40.141 -40.141 40.141 -40.141 0 0 0 0

2C 0.1588 0.0511 0 0 0 0 31.095 -31.095 31.095 -31.095

4A* 0.3029 0.0329 0 0 0 0 -0.262 -0.262 0.262 0.262

2A 0.0618 0.0561 0 0 0 0 -12.755 12.755 12.755 -12.755

4B* 0.4316 0.0513 0 0 0 0 0 0 0 0

2B-1 0.0952 0.0616 0 0 0 0 0 0 0 0






Shear from Mt 0 0 0 0 0 0 0 0









Rm / t = 1,843 / 28 = 65.8214

C1 = 80, C2 = 195 mm




b+Q) = 208.05 MPa


b+Q) = +-3*S = +-414 MPa








4C* 11.3708 0.0784 22.553 22.553 22.553 22.553 0 0 0 0

1C 0.1508 0.0614 0 0 0 0 118.114 -118.114 118.114 -118.114

2C-1 0.1134 0.0614 88.818 -88.818 88.818 -88.818 0 0 0 0

3A* 1.5265 0.0584 0 0 0 0 -1.289 -1.289 1.289 1.289

1A 0.0992 0.0654 0 0 0 0 -70.216 70.216 70.216 -70.216

3B* 6.707 0.0786 0 0 0 0 0 0 0 0

1B-1 0.049 0.0704 0 0 0 0 0 0 0 0




3C* 10.119 0.0784 20.071 20.071 20.071 20.071 0 0 0 0

4C* 11.0214 0.0933 0 0 0 0 21.856 21.856 21.856 21.856

1C-1 0.1261 0.0811 98.767 -98.767 98.767 -98.767 0 0 0 0

2C 0.0875 0.0811 0 0 0 0 68.534 -68.534 68.534 -68.534

4A* 2.1028 0.0584 0 0 0 0 -2.723 -2.723 2.723 2.723

2A 0.0534 0.0813 0 0 0 0 -30.42 30.42 30.42 -30.42

4B* 1.9653 0.0786 0 0 0 0 0 0 0 0

2B-1 0.0684 0.0871 0 0 0 0 0 0 0 0






Shear from Mt 0 0 0 0 0 0 0 0








Lifting Lug-4

Geometry Inputs

Attached To Shell-1



Distance of Lift Point From Datum 2,696 mm

Angular Position -24.00°








Weld Size, tw 20 mm





Load Angle Normal to Vessel, β -45.0000 °

Load Angle from Vertical, φ -21.0000 °



Intermediate Values

Load Factor 2.5000









Summary Values







Lift Forces


= (25,379.1*9.8) / cos(-21.0000)*(1 - 1,093.36/ (1,093.36 +1,298.64))




dreqd = (2*Fr / (π*σs))0.5

= (2*144,734.3 / (π*91.84))0.5 = 31.67 mm




σ = Fr / A= Fr / (2*(0.25*π*Dp

2))= 144,734.3 / (2*(0.25*π*452)) = 45.5 MPa

σ / σs = 45.5 / 91.84 = 0.5 Acceptable


treqd = Fr / ((L - d)*σt)= 144,734.3 / ((254 - 53.32)*137.76) = 5.24 mm


σ = Fr / A= Fr / ((L - d)*t)= 144,734.3 / ((254 - 53.32)*38) = 18.98 MPa

σ / σt = 18.98 / 137.76 = 0.14 Acceptable


treqd = Fv / (Dp*σp)= 144,734.3 / (45*206.64) = 15.57 mm



σ / σp = 84.64 / 206.64 = 0.41 Acceptable







= 144,734.3 / (2*38*86.33) = 22.06 MPa

τ / σs = 22.06 / 91.84 = 0.24 Acceptable


φ = 55*Dp / d= 55*45 / 53.32= 46.4213°


Lug Plate Stress



= 144,734.3*cos(-45.0) / (38*254*137.76) + 6*abs(144,734.3*sin(-45.0)*81 - 144,734.3*cos(-45.0)*0)/ (38*2542*153.07)

= 0.21 Acceptable

Weld Stress


Direct shear:


Aweld = 2*(0.707)*tw*(L + t)= 2*(0.707)*20*(254 + 38) = 8,257.76 mm2





= 144,734.3*sin(-45.0) / 8,257.76 = -12.39 MPa

τb = M * c / I= 3*(Fr*sin(α)*Hght - Fr*cos(α)*a1) / (0.707*h*L*(3*t + L))= 3*abs(144,734.3*sin(-45.0)*81 - 144,734.3*cos(-45.0)*(0)) / (1321694.0800)= 18.82 MPa


= sqr ( (12.39 + 18.82)2 + (-12.39)2 ) / 91.84= 0.37 Acceptable


Direct shear:


Aweld = 2*(0.707)*twp*(Lp + Bp)= 2*(0.707)*20*(350 + 120) = 13,291.6 mm2


τs = Fr*sin(α) / Aweld= 144,734.3*sin(-45.0) / 13,291.6 = -7.7 MPa

τb = M * c / I= 3*(Fr*sin(α)*Hght - Fr*cos(α)*a1) / (0.707*hp*Lp*(3*Wp + Lp))= 3*abs(144,734.3*sin(-45.0)*109 - 144,734.3*cos(-45.0)*(0)) / (3513790.0000)= 9.52 MPa


= sqr ( (7.7 + 9.52)2 + (-7.7)2 ) / 91.84= 0.21 Acceptable

WRC 107 Analysis

Geometry

Height(radial): 187 mm Pad Thickness: 28 mmWidth (circumferential): 38 mm Pad Width: 120 mmLength 254 mm Pad Length: 350 mmFillet Weld Size: 20 mm Pad Weld Size: 20 mmLocated on: Shell-1 (273 mm from left end)



Location Angle: -24.00°

Applied Loads

Radial load: Pr = -102,342.58NCircumferential moment: Mc = -11,155.34 N-mCircumferential shear: Vc = -102,342.58NLongitudinal moment: ML = 0 N-mLongitudinal shear: VL = 0 NTorsion moment: Mt = 0 N-mInternal pressure: P = 0 kPaMean shell radius: Rm = 1,843 mmShell yield stress: Sy = 262 MPa




Rm / t = 1,843 / 56 = 32.9107

C1 = 39, C2 = 147 mm




b+Q) = 82.88 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.3331 0.0491 6.281 6.281 6.281 6.281 0 0 0 0

1C 0.2402 0.0363 0 0 0 0 47.036 -47.036 47.036 -47.036

2C-1 0.1902 0.0363 37.245 -37.245 37.245 -37.245 0 0 0 0

3A* 0.232 0.0329 0 0 0 0 0.117 0.117 -0.117 -0.117

1A 0.107 0.0416 0 0 0 0 29.799 -29.799 -29.799 29.799

3B* 1.7137 0.0513 0 0 0 0 0 0 0 0

1B-1 0.0602 0.0454 0 0 0 0 0 0 0 0




3C* 6.2073 0.0491 6.157 6.157 6.157 6.157 0 0 0 0

4C* 6.2173 0.0604 0 0 0 0 6.164 6.164 6.164 6.164

1C-1 0.205 0.0511 40.141 -40.141 40.141 -40.141 0 0 0 0

2C 0.1588 0.0511 0 0 0 0 31.095 -31.095 31.095 -31.095

4A* 0.3029 0.0329 0 0 0 0 0.262 0.262 -0.262 -0.262

2A 0.0618 0.0561 0 0 0 0 12.755 -12.755 -12.755 12.755

4B* 0.4316 0.0513 0 0 0 0 0 0 0 0

2B-1 0.0952 0.0616 0 0 0 0 0 0 0 0






Shear from Mt 0 0 0 0 0 0 0 0









Rm / t = 1,843 / 28 = 65.8214

C1 = 80, C2 = 195 mm




b+Q) = 208.05 MPa


b+Q) = +-3*S = +-414 MPa








4C* 11.3708 0.0784 22.553 22.553 22.553 22.553 0 0 0 0

1C 0.1508 0.0614 0 0 0 0 118.114 -118.114 118.114 -118.114

2C-1 0.1134 0.0614 88.818 -88.818 88.818 -88.818 0 0 0 0

3A* 1.5265 0.0584 0 0 0 0 1.289 1.289 -1.289 -1.289

1A 0.0992 0.0654 0 0 0 0 70.216 -70.216 -70.216 70.216

3B* 6.707 0.0786 0 0 0 0 0 0 0 0

1B-1 0.049 0.0704 0 0 0 0 0 0 0 0




3C* 10.119 0.0784 20.071 20.071 20.071 20.071 0 0 0 0

4C* 11.0214 0.0933 0 0 0 0 21.856 21.856 21.856 21.856

1C-1 0.1261 0.0811 98.767 -98.767 98.767 -98.767 0 0 0 0

2C 0.0875 0.0811 0 0 0 0 68.534 -68.534 68.534 -68.534

4A* 2.1028 0.0584 0 0 0 0 2.723 2.723 -2.723 -2.723

2A 0.0534 0.0813 0 0 0 0 30.42 -30.42 -30.42 30.42

4B* 1.9653 0.0786 0 0 0 0 0 0 0 0

2B-1 0.0684 0.0871 0 0 0 0 0 0 0 0






Shear from Mt 0 0 0 0 0 0 0 0








Support 1

Geometry

Height(radial): 125 mm Pad Thickness: 28 mmWidth (circumferential): 203 mm Pad Width: 350 mmLength 76 mm Pad Length: 200 mmFillet Weld Size: 8 mm Pad Weld Size: 18 mmLocated on: Shell-2 (198.7 mm from right end)Location Angle: 39.00°

Applied Loads

Radial load: Pr = 350,595.51NCircumferential moment: Mc = 0 N-mCircumferential shear: Vc = 7,518 NLongitudinal moment: ML = 0 N-mLongitudinal shear: VL = 7,518 NTorsion moment: Mt = 0 N-mInternal pressure: P = 1,691.07 kPaMean shell radius: Rm = 1,844.6 mmShell yield stress: Sy = 237 MPa




Rm / t = 1,844.6 / 52.8 = 34.9359

C1 = 109.5, C2 = 46 mm

Local circumferential pressure stress = P*Ri / t =124.94 MPa

Local longitudinal pressure stress = P*Ri / (2*t) =62.467 MPa


b+Q) = 246.94 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.6964 0.0505 -24.104 -24.104 -24.104 -24.104 0 0 0 0

1C 0.1941 0.0519 0 0 0 0 -146.458 146.458 -146.458 146.458

2C-1 0.1554 0.0519 -117.259 117.259 -117.259 117.259 0 0 0 0

3A* 0.3868 0.0445 0 0 0 0 0 0 0 0

1A 0.106 0.0546 0 0 0 0 0 0 0 0

3B* 1.0852 0.0333 0 0 0 0 0 0 0 0

1B-1 0.0606 0.0426 0 0 0 0 0 0 0 0

Pressure stress* 124.94 124.94 124.94 124.94 124.94 124.94 124.94 124.94

Total circumferential stress -16.423 218.095 -16.423 218.095 -45.981 246.936 -45.981 246.936


3C* 6.5367 0.0505 -23.532 -23.532 -23.532 -23.532 0 0 0 0

4C* 6.8173 0.0369 0 0 0 0 -24.538 -24.538 -24.538 -24.538

1C-1 0.2245 0.042 -169.397 169.397 -169.397 169.397 0 0 0 0

2C 0.1764 0.042 0 0 0 0 -133.103 133.103 -133.103 133.103

4A* 0.5183 0.0445 0 0 0 0 0 0 0 0

2A 0.0629 0.0438 0 0 0 0 0 0 0 0

4B* 0.266 0.0333 0 0 0 0 0 0 0 0

2B-1 0.1058 0.0361 0 0 0 0 0 0 0 0

Pressure stress* 62.467 62.467 62.467 62.467 62.467 62.467 62.467 62.467



Total longitudinal stress -130.463 208.332 -130.463 208.332 -95.175 171.031 -95.175 171.031


Shear from Mt 0 0 0 0 0 0 0 0




Combined stress(PL+Pb+Q) -130.463 218.109 -130.463 218.109 -95.189 246.943 -95.189 246.943





Rm / t = 1,844.6 / 24.8 = 74.3802

C1 = 193, C2 = 118 mm




b+Q) = -413.99 MPa


b+Q) = +-3*S = +-414 MPa








4C* 12.2645 0.0936 -93.996 -93.996 -93.996 -93.996 0 0 0 0

1C 0.1053 0.095 0 0 0 0 -360.161 360.161 -360.161 360.161

2C-1 0.0708 0.095 -242.158 242.158 -242.158 242.158 0 0 0 0

3A* 2.5498 0.0888 0 0 0 0 0 0 0 0

1A 0.0893 0.0993 0 0 0 0 0 0 0 0

3B* 7.6056 0.0754 0 0 0 0 0 0 0 0

1B-1 0.0448 0.079 0 0 0 0 0 0 0 0

Pressure stress* 124.94 124.94 124.94 124.94 124.94 124.94 124.94 124.94



3C* 10.131 0.0936 -77.642 -77.642 -77.642 -77.642 0 0 0 0

4C* 12.6258 0.0803 0 0 0 0 -96.768 -96.768 -96.768 -96.768

1C-1 0.1166 0.0853 -398.813 398.813 -398.813 398.813 0 0 0 0

2C 0.0793 0.0853 0 0 0 0 -271.233 271.233 -271.233 271.233

4A* 3.9187 0.0888 0 0 0 0 0 0 0 0

2A 0.0499 0.0902 0 0 0 0 0 0 0 0

4B* 2.2646 0.0754 0 0 0 0 0 0 0 0

2B-1 0.0711 0.0779 0 0 0 0 0 0 0 0



Pressure stress* 62.467 62.467 62.467 62.467 62.467 62.467 62.467 62.467


Primary membranelongitudinal stress* -15.175 -15.175 -15.175 -15.175 -34.301 -34.301 -34.301 -34.301

Shear from Mt 0 0 0 0 0 0 0 0








Support 2

Geometry



Length 76 mm Pad Length: 200mm


Located on: Shell-1 (252.1 mm from left end)Location Angle: 39.00°

Applied Loads





Rm / t = 1,844.6 / 52.8 = 34.9359

C1 = 109.5, C2 = 46 mm




b+Q) = 248.24 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.6964 0.0505 -24.359 -24.359 -24.359 -24.359 0 0 0 0

1C 0.1941 0.0519 0 0 0 0 -148.017 148.017 -148.017 148.017

2C-1 0.1554 0.0519 -118.507 118.507 -118.507 118.507 0 0 0 0

3A* 0.3868 0.0445 0 0 0 0 0 0 0 0

1A 0.106 0.0546 0 0 0 0 0 0 0 0

3B* 1.0852 0.0333 0 0 0 0 0 0 0 0

1B-1 0.0606 0.0426 0 0 0 0 0 0 0 0

Pressure stress* 124.94 124.94 124.94 124.94 124.94 124.94 124.94 124.94



3C* 6.5367 0.0505 -23.78 -23.78 -23.78 -23.78 0 0 0 0

4C* 6.8173 0.0369 0 0 0 0 -24.8 -24.8 -24.8 -24.8

1C-1 0.2245 0.042 -171.204 171.204 -171.204 171.204 0 0 0 0

2C 0.1764 0.042 0 0 0 0 -134.524 134.524 -134.524 134.524

4A* 0.5183 0.0445 0 0 0 0 0 0 0 0

2A 0.0629 0.0438 0 0 0 0 0 0 0 0

4B* 0.266 0.0333 0 0 0 0 0 0 0 0

2B-1 0.1058 0.0361 0 0 0 0 0 0 0 0

Pressure stress* 62.467 62.467 62.467 62.467 62.467 62.467 62.467 62.467





Shear from Mt 0 0 0 0 0 0 0 0









Rm / t = 1,844.6 / 24.8 = 74.3802

C1 = 195, C2 = 120 mm




b+Q) = -413.99 MPa


b+Q) = +-3*S = +-414 MPa








4C* 12.2353 0.0947 -94.768 -94.768 -94.768 -94.768 0 0 0 0

1C 0.1043 0.0961 0 0 0 0 -360.534 360.534 -360.534 360.534

2C-1 0.0697 0.0961 -240.93 240.93 -240.93 240.93 0 0 0 0

3A* 2.572 0.0899 0 0 0 0 0 0 0 0

1A 0.089 0.1005 0 0 0 0 0 0 0 0

3B* 7.6429 0.0765 0 0 0 0 0 0 0 0

1B-1 0.0444 0.0801 0 0 0 0 0 0 0 0

Pressure stress* 124.94 124.94 124.94 124.94 124.94 124.94 124.94 124.94



3C* 10.0574 0.0947 -77.897 -77.897 -77.897 -77.897 0 0 0 0

4C* 12.5954 0.0814 0 0 0 0 -97.561 -97.561 -97.561 -97.561

1C-1 0.1153 0.0864 -398.558 398.558 -398.558 398.558 0 0 0 0

2C 0.0783 0.0864 0 0 0 0 -270.661 270.661 -270.661 270.661

4A* 3.9666 0.0899 0 0 0 0 0 0 0 0

2A 0.0495 0.0915 0 0 0 0 0 0 0 0

4B* 2.2853 0.0765 0 0 0 0 0 0 0 0

2B-1 0.0703 0.079 0 0 0 0 0 0 0 0



Pressure stress* 62.467 62.467 62.467 62.467 62.467 62.467 62.467 62.467



Shear from Mt 0 0 0 0 0 0 0 0








Support 3

Geometry





Located on: Shell-1 (252.1 mm from left end)Location Angle: -39.00°

Applied Loads





Rm / t = 1,844.6 / 52.8 = 34.9359

C1 = 109.5, C2 = 46 mm




b+Q) = 247.91 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.6964 0.0505 -24.352 -24.352 -24.352 -24.352 0 0 0 0

1C 0.1941 0.0519 0 0 0 0 -147.975 147.975 -147.975 147.975

2C-1 0.1554 0.0519 -118.473 118.473 -118.473 118.473 0 0 0 0

3A* 0.3868 0.0445 0 0 0 0 0 0 0 0

1A 0.106 0.0546 0 0 0 0 0 0 0 0

3B* 1.0852 0.0333 0 0 0 0 0 0 0 0

1B-1 0.0606 0.0426 0 0 0 0 0 0 0 0

Pressure stress* 124.643 124.643 124.643 124.643 124.643 124.643 124.643 124.643



3C* 6.5367 0.0505 -23.773 -23.773 -23.773 -23.773 0 0 0 0

4C* 6.8173 0.0369 0 0 0 0 -24.794 -24.794 -24.794 -24.794

1C-1 0.2245 0.042 -171.149 171.149 -171.149 171.149 0 0 0 0

2C 0.1764 0.042 0 0 0 0 -134.482 134.482 -134.482 134.482

4A* 0.5183 0.0445 0 0 0 0 0 0 0 0

2A 0.0629 0.0438 0 0 0 0 0 0 0 0

4B* 0.266 0.0333 0 0 0 0 0 0 0 0

2B-1 0.1058 0.0361 0 0 0 0 0 0 0 0

Pressure stress* 62.322 62.322 62.322 62.322 62.322 62.322 62.322 62.322





Shear from Mt 0 0 0 0 0 0 0 0









Rm / t = 1,844.6 / 24.8 = 74.3802

C1 = 195, C2 = 120 mm




b+Q) = -414 MPa


b+Q) = +-3*S = +-414 MPa








4C* 12.2353 0.0947 -94.741 -94.741 -94.741 -94.741 0 0 0 0

1C 0.1043 0.0961 0 0 0 0 -360.43 360.43 -360.43 360.43

2C-1 0.0697 0.0961 -240.861 240.861 -240.861 240.861 0 0 0 0

3A* 2.572 0.0899 0 0 0 0 0 0 0 0

1A 0.089 0.1005 0 0 0 0 0 0 0 0

3B* 7.6429 0.0765 0 0 0 0 0 0 0 0

1B-1 0.0444 0.0801 0 0 0 0 0 0 0 0

Pressure stress* 124.643 124.643 124.643 124.643 124.643 124.643 124.643 124.643



3C* 10.0574 0.0947 -77.876 -77.876 -77.876 -77.876 0 0 0 0

4C* 12.5954 0.0814 0 0 0 0 -97.533 -97.533 -97.533 -97.533

1C-1 0.1153 0.0864 -398.441 398.441 -398.441 398.441 0 0 0 0

2C 0.0783 0.0864 0 0 0 0 -270.578 270.578 -270.578 270.578

4A* 3.9666 0.0899 0 0 0 0 0 0 0 0

2A 0.0495 0.0915 0 0 0 0 0 0 0 0

4B* 2.2853 0.0765 0 0 0 0 0 0 0 0

2B-1 0.0703 0.079 0 0 0 0 0 0 0 0



Pressure stress* 62.322 62.322 62.322 62.322 62.322 62.322 62.322 62.322



Shear from Mt 0 0 0 0 0 0 0 0








Support 4

Geometry





Located on: Shell-2 (198.7 mm from right end)Location Angle: -39.00°

Applied Loads





Rm / t = 1,844.6 / 52.8 = 34.9359

C1 = 109.5, C2 = 46 mm




b+Q) = 247.91 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.6964 0.0505 -24.352 -24.352 -24.352 -24.352 0 0 0 0

1C 0.1941 0.0519 0 0 0 0 -147.975 147.975 -147.975 147.975

2C-1 0.1554 0.0519 -118.473 118.473 -118.473 118.473 0 0 0 0

3A* 0.3868 0.0445 0 0 0 0 0 0 0 0

1A 0.106 0.0546 0 0 0 0 0 0 0 0

3B* 1.0852 0.0333 0 0 0 0 0 0 0 0

1B-1 0.0606 0.0426 0 0 0 0 0 0 0 0

Pressure stress* 124.643 124.643 124.643 124.643 124.643 124.643 124.643 124.643



3C* 6.5367 0.0505 -23.773 -23.773 -23.773 -23.773 0 0 0 0

4C* 6.8173 0.0369 0 0 0 0 -24.794 -24.794 -24.794 -24.794

1C-1 0.2245 0.042 -171.149 171.149 -171.149 171.149 0 0 0 0

2C 0.1764 0.042 0 0 0 0 -134.482 134.482 -134.482 134.482

4A* 0.5183 0.0445 0 0 0 0 0 0 0 0

2A 0.0629 0.0438 0 0 0 0 0 0 0 0

4B* 0.266 0.0333 0 0 0 0 0 0 0 0

2B-1 0.1058 0.0361 0 0 0 0 0 0 0 0

Pressure stress* 62.322 62.322 62.322 62.322 62.322 62.322 62.322 62.322





Shear from Mt 0 0 0 0 0 0 0 0









Rm / t = 1,844.6 / 24.8 = 74.3802

C1 = 195, C2 = 120 mm




b+Q) = -414 MPa


b+Q) = +-3*S = +-414 MPa








4C* 12.2353 0.0947 -94.741 -94.741 -94.741 -94.741 0 0 0 0

1C 0.1043 0.0961 0 0 0 0 -360.43 360.43 -360.43 360.43

2C-1 0.0697 0.0961 -240.861 240.861 -240.861 240.861 0 0 0 0

3A* 2.572 0.0899 0 0 0 0 0 0 0 0

1A 0.089 0.1005 0 0 0 0 0 0 0 0

3B* 7.6429 0.0765 0 0 0 0 0 0 0 0

1B-1 0.0444 0.0801 0 0 0 0 0 0 0 0

Pressure stress* 124.643 124.643 124.643 124.643 124.643 124.643 124.643 124.643



3C* 10.0574 0.0947 -77.876 -77.876 -77.876 -77.876 0 0 0 0

4C* 12.5954 0.0814 0 0 0 0 -97.533 -97.533 -97.533 -97.533

1C-1 0.1153 0.0864 -398.441 398.441 -398.441 398.441 0 0 0 0

2C 0.0783 0.0864 0 0 0 0 -270.578 270.578 -270.578 270.578

4A* 3.9666 0.0899 0 0 0 0 0 0 0 0

2A 0.0495 0.0915 0 0 0 0 0 0 0 0

4B* 2.2853 0.0765 0 0 0 0 0 0 0 0

2B-1 0.0703 0.079 0 0 0 0 0 0 0 0



Pressure stress* 62.322 62.322 62.322 62.322 62.322 62.322 62.322 62.322



Shear from Mt 0 0 0 0 0 0 0 0








Support 5

Geometry





Located on: Shell-1 (252.1 mm from left end)Location Angle: 12.00°

Applied Loads





Rm / t = 1,844.6 / 52.8 = 34.9359

C1 = 109.5, C2 = 46 mm




b+Q) = 247.94 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.6964 0.0505 -24.352 -24.352 -24.352 -24.352 0 0 0 0

1C 0.1941 0.0519 0 0 0 0 -147.982 147.982 -147.982 147.982

2C-1 0.1554 0.0519 -118.473 118.473 -118.473 118.473 0 0 0 0

3A* 0.3868 0.0445 0 0 0 0 0 0 0 0

1A 0.106 0.0546 0 0 0 0 0 0 0 0

3B* 1.0852 0.0333 0 0 0 0 0 0 0 0

1B-1 0.0606 0.0426 0 0 0 0 0 0 0 0

Pressure stress* 124.671 124.671 124.671 124.671 124.671 124.671 124.671 124.671



3C* 6.5367 0.0505 -23.773 -23.773 -23.773 -23.773 0 0 0 0

4C* 6.8173 0.0369 0 0 0 0 -24.794 -24.794 -24.794 -24.794

1C-1 0.2245 0.042 -171.155 171.155 -171.155 171.155 0 0 0 0

2C 0.1764 0.042 0 0 0 0 -134.482 134.482 -134.482 134.482

4A* 0.5183 0.0445 0 0 0 0 0 0 0 0

2A 0.0629 0.0438 0 0 0 0 0 0 0 0

4B* 0.266 0.0333 0 0 0 0 0 0 0 0

2B-1 0.1058 0.0361 0 0 0 0 0 0 0 0

Pressure stress* 62.336 62.336 62.336 62.336 62.336 62.336 62.336 62.336





Shear from Mt 0 0 0 0 0 0 0 0









Rm / t = 1,844.6 / 24.8 = 74.3802

C1 = 195, C2 = 120 mm




b+Q) = -414 MPa


b+Q) = +-3*S = +-414 MPa








4C* 12.2353 0.0947 -94.741 -94.741 -94.741 -94.741 0 0 0 0

1C 0.1043 0.0961 0 0 0 0 -360.437 360.437 -360.437 360.437

2C-1 0.0697 0.0961 -240.868 240.868 -240.868 240.868 0 0 0 0

3A* 2.572 0.0899 0 0 0 0 0 0 0 0

1A 0.089 0.1005 0 0 0 0 0 0 0 0

3B* 7.6429 0.0765 0 0 0 0 0 0 0 0

1B-1 0.0444 0.0801 0 0 0 0 0 0 0 0

Pressure stress* 124.671 124.671 124.671 124.671 124.671 124.671 124.671 124.671



3C* 10.0574 0.0947 -77.876 -77.876 -77.876 -77.876 0 0 0 0

4C* 12.5954 0.0814 0 0 0 0 -97.533 -97.533 -97.533 -97.533

1C-1 0.1153 0.0864 -398.455 398.455 -398.455 398.455 0 0 0 0

2C 0.0783 0.0864 0 0 0 0 -270.585 270.585 -270.585 270.585

4A* 3.9666 0.0899 0 0 0 0 0 0 0 0

2A 0.0495 0.0915 0 0 0 0 0 0 0 0

4B* 2.2853 0.0765 0 0 0 0 0 0 0 0

2B-1 0.0703 0.079 0 0 0 0 0 0 0 0



Pressure stress* 62.336 62.336 62.336 62.336 62.336 62.336 62.336 62.336



Shear from Mt 0 0 0 0 0 0 0 0








Support 6

Geometry





Located on: Shell-1 (252.1 mm from left end)Location Angle: -12.00°

Applied Loads





Rm / t = 1,844.6 / 52.8 = 34.9359

C1 = 109.5, C2 = 46 mm




b+Q) = 247.91 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.6964 0.0505 -24.352 -24.352 -24.352 -24.352 0 0 0 0

1C 0.1941 0.0519 0 0 0 0 -147.975 147.975 -147.975 147.975

2C-1 0.1554 0.0519 -118.473 118.473 -118.473 118.473 0 0 0 0

3A* 0.3868 0.0445 0 0 0 0 0 0 0 0

1A 0.106 0.0546 0 0 0 0 0 0 0 0

3B* 1.0852 0.0333 0 0 0 0 0 0 0 0

1B-1 0.0606 0.0426 0 0 0 0 0 0 0 0

Pressure stress* 124.643 124.643 124.643 124.643 124.643 124.643 124.643 124.643



3C* 6.5367 0.0505 -23.773 -23.773 -23.773 -23.773 0 0 0 0

4C* 6.8173 0.0369 0 0 0 0 -24.794 -24.794 -24.794 -24.794

1C-1 0.2245 0.042 -171.149 171.149 -171.149 171.149 0 0 0 0

2C 0.1764 0.042 0 0 0 0 -134.482 134.482 -134.482 134.482

4A* 0.5183 0.0445 0 0 0 0 0 0 0 0

2A 0.0629 0.0438 0 0 0 0 0 0 0 0

4B* 0.266 0.0333 0 0 0 0 0 0 0 0

2B-1 0.1058 0.0361 0 0 0 0 0 0 0 0

Pressure stress* 62.322 62.322 62.322 62.322 62.322 62.322 62.322 62.322





Shear from Mt 0 0 0 0 0 0 0 0









Rm / t = 1,844.6 / 24.8 = 74.3802

C1 = 195, C2 = 120 mm




b+Q) = -414 MPa


b+Q) = +-3*S = +-414 MPa








4C* 12.2353 0.0947 -94.741 -94.741 -94.741 -94.741 0 0 0 0

1C 0.1043 0.0961 0 0 0 0 -360.43 360.43 -360.43 360.43

2C-1 0.0697 0.0961 -240.861 240.861 -240.861 240.861 0 0 0 0

3A* 2.572 0.0899 0 0 0 0 0 0 0 0

1A 0.089 0.1005 0 0 0 0 0 0 0 0

3B* 7.6429 0.0765 0 0 0 0 0 0 0 0

1B-1 0.0444 0.0801 0 0 0 0 0 0 0 0

Pressure stress* 124.643 124.643 124.643 124.643 124.643 124.643 124.643 124.643



3C* 10.0574 0.0947 -77.876 -77.876 -77.876 -77.876 0 0 0 0

4C* 12.5954 0.0814 0 0 0 0 -97.533 -97.533 -97.533 -97.533

1C-1 0.1153 0.0864 -398.441 398.441 -398.441 398.441 0 0 0 0

2C 0.0783 0.0864 0 0 0 0 -270.578 270.578 -270.578 270.578

4A* 3.9666 0.0899 0 0 0 0 0 0 0 0

2A 0.0495 0.0915 0 0 0 0 0 0 0 0

4B* 2.2853 0.0765 0 0 0 0 0 0 0 0

2B-1 0.0703 0.079 0 0 0 0 0 0 0 0



Pressure stress* 62.322 62.322 62.322 62.322 62.322 62.322 62.322 62.322



Shear from Mt 0 0 0 0 0 0 0 0








Support 7

Geometry

Height(radial): 125 mm Pad Thickness: 28 mmWidth (circumferential): 203 mm Pad Width: 350 mmLength 76 mm Pad Length: 200 mmFillet Weld Size: 10 mm Pad Weld Size: 20 mmLocated on: Shell-2 (198.7 mm from right end)Location Angle: 12.00°

Applied Loads





Rm / t = 1,844.6 / 52.8 = 34.9359

C1 = 111.5, C2 = 48 mm




b+Q) = 246.88 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.6844 0.0516 -24.311 -24.311 -24.311 -24.311 0 0 0 0

1C 0.1926 0.053 0 0 0 0 -146.838 146.838 -146.838 146.838

2C-1 0.1539 0.053 -117.328 117.328 -117.328 117.328 0 0 0 0

3A* 0.4 0.0456 0 0 0 0 0 0 0 0

1A 0.1058 0.0557 0 0 0 0 0 0 0 0

3B* 1.1375 0.0345 0 0 0 0 0 0 0 0

1B-1 0.0605 0.0432 0 0 0 0 0 0 0 0

Pressure stress* 124.671 124.671 124.671 124.671 124.671 124.671 124.671 124.671



3C* 6.5125 0.0516 -23.683 -23.683 -23.683 -23.683 0 0 0 0

4C* 6.8067 0.0381 0 0 0 0 -24.759 -24.759 -24.759 -24.759

1C-1 0.2215 0.0432 -168.866 168.866 -168.866 168.866 0 0 0 0

2C 0.1738 0.0432 0 0 0 0 -132.503 132.503 -132.503 132.503

4A* 0.5371 0.0456 0 0 0 0 0 0 0 0

2A 0.0628 0.0448 0 0 0 0 0 0 0 0

4B* 0.2797 0.0345 0 0 0 0 0 0 0 0

2B-1 0.1054 0.0372 0 0 0 0 0 0 0 0

Pressure stress* 62.336 62.336 62.336 62.336 62.336 62.336 62.336 62.336





Shear from Mt 0 0 0 0 0 0 0 0









Rm / t = 1,844.6 / 24.8 = 74.3802

C1 = 195, C2 = 120 mm




b+Q) = -414 MPa


b+Q) = +-3*S = +-414 MPa








4C* 12.2353 0.0947 -94.741 -94.741 -94.741 -94.741 0 0 0 0

1C 0.1043 0.0961 0 0 0 0 -360.437 360.437 -360.437 360.437

2C-1 0.0697 0.0961 -240.868 240.868 -240.868 240.868 0 0 0 0

3A* 2.572 0.0899 0 0 0 0 0 0 0 0

1A 0.089 0.1005 0 0 0 0 0 0 0 0

3B* 7.6429 0.0765 0 0 0 0 0 0 0 0

1B-1 0.0444 0.0801 0 0 0 0 0 0 0 0

Pressure stress* 124.671 124.671 124.671 124.671 124.671 124.671 124.671 124.671



3C* 10.0574 0.0947 -77.876 -77.876 -77.876 -77.876 0 0 0 0

4C* 12.5954 0.0814 0 0 0 0 -97.533 -97.533 -97.533 -97.533

1C-1 0.1153 0.0864 -398.455 398.455 -398.455 398.455 0 0 0 0

2C 0.0783 0.0864 0 0 0 0 -270.585 270.585 -270.585 270.585

4A* 3.9666 0.0899 0 0 0 0 0 0 0 0

2A 0.0495 0.0915 0 0 0 0 0 0 0 0

4B* 2.2853 0.0765 0 0 0 0 0 0 0 0

2B-1 0.0703 0.079 0 0 0 0 0 0 0 0



Pressure stress* 62.336 62.336 62.336 62.336 62.336 62.336 62.336 62.336



Shear from Mt 0 0 0 0 0 0 0 0








Support 8

Geometry





Located on: Shell-2 (198.7 mm from right end)Location Angle: -12.00°

Applied Loads

Radial load: Pr = 354,220.81NCircumferential moment: Mc = 0 N-mCircumferential shear: Vc = 0 NLongitudinal moment: ML = 0 N-mLongitudinal shear: VL = 0 NTorsion moment: Mt = 0 N-mInternal pressure: P = 1,687.08 kPaMean shell radius: Rm = 1,844.6 mmShell yield stress: Sy = 237 MPa




Rm / t = 1,844.6 / 52.8 = 34.9359

C1 = 111.5, C2 = 48 mm




b+Q) = 246.84 MPa


b+Q) = +-3*S = +-414 MPa








4C* 6.6844 0.0516 -24.311 -24.311 -24.311 -24.311 0 0 0 0

1C 0.1926 0.053 0 0 0 0 -146.831 146.831 -146.831 146.831

2C-1 0.1539 0.053 -117.328 117.328 -117.328 117.328 0 0 0 0

3A* 0.4 0.0456 0 0 0 0 0 0 0 0

1A 0.1058 0.0557 0 0 0 0 0 0 0 0

3B* 1.1375 0.0345 0 0 0 0 0 0 0 0

1B-1 0.0605 0.0432 0 0 0 0 0 0 0 0

Pressure stress* 124.643 124.643 124.643 124.643 124.643 124.643 124.643 124.643



3C* 6.5125 0.0516 -23.683 -23.683 -23.683 -23.683 0 0 0 0

4C* 6.8067 0.0381 0 0 0 0 -24.759 -24.759 -24.759 -24.759

1C-1 0.2215 0.0432 -168.866 168.866 -168.866 168.866 0 0 0 0

2C 0.1738 0.0432 0 0 0 0 -132.497 132.497 -132.497 132.497

4A* 0.5371 0.0456 0 0 0 0 0 0 0 0

2A 0.0628 0.0448 0 0 0 0 0 0 0 0

4B* 0.2797 0.0345 0 0 0 0 0 0 0 0

2B-1 0.1054 0.0372 0 0 0 0 0 0 0 0

Pressure stress* 62.322 62.322 62.322 62.322 62.322 62.322 62.322 62.322





Shear from Mt 0 0 0 0 0 0 0 0

Circ shear from Vc 0 0 0 0 0 0 0 0








Rm / t = 1,844.6 / 24.8 = 74.3802

C1 = 195, C2 = 120 mm




b+Q) = -414 MPa


b+Q) = +-3*S = +-414 MPa








4C* 12.2353 0.0947 -94.741 -94.741 -94.741 -94.741 0 0 0 0

1C 0.1043 0.0961 0 0 0 0 -360.43 360.43 -360.43 360.43

2C-1 0.0697 0.0961 -240.861 240.861 -240.861 240.861 0 0 0 0

3A* 2.572 0.0899 0 0 0 0 0 0 0 0

1A 0.089 0.1005 0 0 0 0 0 0 0 0

3B* 7.6429 0.0765 0 0 0 0 0 0 0 0

1B-1 0.0444 0.0801 0 0 0 0 0 0 0 0

Pressure stress* 124.643 124.643 124.643 124.643 124.643 124.643 124.643 124.643



3C* 10.0574 0.0947 -77.876 -77.876 -77.876 -77.876 0 0 0 0

4C* 12.5954 0.0814 0 0 0 0 -97.533 -97.533 -97.533 -97.533

1C-1 0.1153 0.0864 -398.441 398.441 -398.441 398.441 0 0 0 0

2C 0.0783 0.0864 0 0 0 0 -270.578 270.578 -270.578 270.578

4A* 3.9666 0.0899 0 0 0 0 0 0 0 0

2A 0.0495 0.0915 0 0 0 0 0 0 0 0

4B* 2.2853 0.0765 0 0 0 0 0 0 0 0

2B-1 0.0703 0.079 0 0 0 0 0 0 0 0



Pressure stress* 62.322 62.322 62.322 62.322 62.322 62.322 62.322 62.322



Shear from Mt 0 0 0 0 0 0 0 0

Circ shear from Vc 0 0 0 0 0 0 0 0







Tabular Results

Results were generated with the finite element program FE/Pipe&#174. Stress results arepost-processed in accordance with the rules specified in ASME Section III and ASME Section VIII,Division 2.


Model Notes• Load Case Report• Solution Data• ASME Code Stress Output Plots• Region Data• ASME Overstressed Areas• Highest Primary Stress Ratios• Highest Secondary Stress Ratios• Highest Fatigue Stress Ratios• Highest Occasional Stress Ratios• Stress Intensification Factors• Allowable Loads• Flexibilities• Graphical Results•

Model Notes

Input Echo:

Model Type : Flat Head

Parent Outside Diameter : 1175.000 mm.Thickness : 66.800 mm.Attached Shell Length : 153.000 mm.Attached Shell Thick : 70.000 mm.Fillet Along Shell : 12.000 mm.

Parent Properties:Cold Allowable : 138.0 MPaHot Allowable : 138.0 MPa


NA035-731-001 AS_BUILT

Material ID #2 : Low Alloy SteelUltimate Tensile (Amb) : 345.0 MPaYield Strength (Amb) : 262.0 MPaYield Strength (Hot) : 237.0 MPaElastic Modulus (Amb) : 201200.0 MPaPoissons Ratio : 0.300Weight Density : 0.7682E-04 N /cu.mm.(NOT USED)

Nozzle Outside Diameter : 406.400 mm.Thickness : 27.963 mm.Length : 139.400 mm.Nozzle Weld Length : 12.000 mm.Insert Length : 151.400 mm.Insert Thickness : 24.763 mm.Location perpendicularto the head centerline : 0.000 mm.

Nozzle Tilt Angle : 0.000 deg.


Design Operating Cycles : 7000.Design Occasional Cycles : 7000.

Note that any occasional loads entered will be treated likefull range cyclic loads and evaluated accordingly. Thecummulative effect of loss of service life due to anyoccasional loads should be combined with other fatiguecausing mechanisms, i.e. thermal.

Ambient Temperature (Deg.) : 21.00


Nozzle Inside Temperature : 110.00 deg.Nozzle Outside Temperature : 110.00 deg.Vessel Inside Temperature : 110.00 deg.



Vessel Outside Temperature : 110.00 deg.Nozzle Pressure : 1.685 MPaVessel Pressure : 1.685 MPa



Load Case FX FY FZ MX MY MZ---------------------------------------------------------------------------WEIGHT: 46806.0 -46806.0 -46806.0 -31317.0 30580.0 -30580.0OPER: 46806.0 -46806.0 -46806.0 -31317.0 30580.0 -30580.0OCC: 46806.0 -46806.0 -46806.0 -31317.0 30580.0 -30580.0THERMAL: 46806.0 -46806.0 -46806.0 -31317.0 30580.0 -30580.0



Unstructured Mesh Generation used for this model.

Vessel Centerline Vector: 0.000 1.000 0.000Nozzle Centerline Vector: 0.000 1.000 0.000Zero Degree Orientation Vector: 1.000 0.000 0.000

Table of Contents



1 WEIGHT ONLY





2 SUSTAINED



3 Thermal ONLY



4 OPERATING






6 OCCASIONAL




/-------- Loads in Case 6Loads from (Occasional)











Table of Contents

Solution Data

Maximum Solution Row Size = 1464Number of Nodes = 2514



Number of Elements = 839Number of Solution Cases = 10


Case # FX FY FZ

1 46810. -55115. -46800.2 46810. 1570155. -46800.3 46810. -46800. -46800.4 46810. 1570155. -46800.5 46810. -46800. -46800.6 0. 4584212. 0.7 0. 0. 0.8 0. 0. 0.9 0. 0. 0.10 0. 1625270. 0.

Table of Contents




3) S1+S2+S3 < 4S (SUS,S1+S2+S3) Case 2








11) Q < SPS (OCC,Inside) Case 6



12) Q < SPS (OCC,Outside) Case 6

13) Pl+Pb+Q+F < Sa (OCC,Inside) Case 6

14) Pl+Pb+Q+F < Sa (OCC,Outside) Case 6

15) Pl+Pb+Q < SPS (EXP,Inside) Case 5

16) Pl+Pb+Q < SPS (EXP,Outside) Case 5



Table of Contents

Region Data

Shell Next to Nozzle 1

Cold Allowable ........... 138. MPaHot Allowable @ 110 deg .. 138. MPaCase 2Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 15. MPaCase 4Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 15. MPaCase 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 11Nominal Stress (M/Z) ... 15. MPaPressure Stress (Pd/2t) .. 0. MPa



Smallest Thickness ....... 27.963 mm.Stress Concentration ..... 1.000



Shell Next to Nozzle 1 Pad

Cold Allowable ........... 138. MPaHot Allowable @ 110 deg .. 138. MPaCase 2Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 15. MPaCase 4Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 15. MPaCase 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 138. MPa



Pressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 11Nominal Stress (M/Z) ... 15. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 27.963 mm.Stress Concentration ..... 1.000

NOT USED



Cold Allowable ........... 138. MPaHot Allowable @ 110 deg .. 138. MPaCase 2



Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 15. MPaCase 4Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 15. MPaCase 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 11Nominal Stress (M/Z) ... 15. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 27.963 mm.Stress Concentration ..... 1.000


Cold Allowable ........... 138. MPaHot Allowable @ 110 deg .. 138. MPaCase 2Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 15. MPaCase 4Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 15. MPaCase 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 11



Nominal Stress (M/Z) ... 15. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 27.963 mm.Stress Concentration ..... 1.000

Nozzle 1 Transition Area


Barrel Section of Nozzle 1

Cold Allowable ........... 118. MPaHot Allowable @ 110 deg .. 118. MPaCase 2Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 15. MPaCase 4Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 15. MPaCase 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPa



Case 8Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 11Nominal Stress (M/Z) ... 15. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 27.963 mm.Stress Concentration ..... 1.000

Nozzle 1


Pad at Nozzle 1

Cold Allowable ........... 138. MPa



Hot Allowable @ 110 deg .. 138. MPaCase 2Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 15. MPaCase 4Nominal Stress (M/Z) ... 0. MPaPressure Stress (Pd/2t) .. 15. MPaCase 7Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 8Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 9Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 10Nominal Stress (M/Z) ... 138. MPaPressure Stress (Pd/2t) .. 0. MPaCase 11Nominal Stress (M/Z) ... 15. MPaPressure Stress (Pd/2t) .. 0. MPaSmallest Thickness ....... 27.963 mm.Stress Concentration ..... 1.000

Table of Contents



Table of Contents



Qb SPS Primary Bending Load Case 280 414 Plot Reference:MPa MPa 2) Qb < SPS (SUS,Bending) Case 2



19%


Qb SPS Primary Bending Load Case 2141 354 Plot Reference:MPa MPa 2) Qb < SPS (SUS,Bending) Case 2

39%

Nozzle 1

S1+S2+S3 4S Part 5 (5.3.2) Load Case 2163 472 Plot Reference:MPa MPa 3) S1+S2+S3 < 4S (SUS,S1+S2+S3) Case 2

34%

Table of Contents




19%



31%



Nozzle 1


23%

Table of Contents



Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Outer) Load Case 528 0.000 Life Stress Concentration Factor = 1.000MPa 0.098 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 1.0000E11Allowable "B31" Fatigue Stress Allowable = 345.0287.1 Markl Fatigue Stress Allowable = 287.5MPa Plot Reference:18) Pl+Pb+Q+F < Sa (EXP,Outside) Case 59%


Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Inner) Load Case 550 0.000 Life Stress Concentration Factor = 1.000MPa 0.175 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 2.5860E10Allowable "B31" Fatigue Stress Allowable = 295.0287.1 Markl Fatigue Stress Allowable = 287.5MPa Plot Reference:17) Pl+Pb+Q+F < Sa (EXP,Inside) Case 517%

Nozzle 1

Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Inner) Load Case 534 0.000 Life Stress Concentration Factor = 1.000MPa 0.120 Stress Strain Concentration Factor = 1.000



Cycles Allowed for this Stress = 1.0000E11Allowable "B31" Fatigue Stress Allowable = 295.0287.1 Markl Fatigue Stress Allowable = 287.5MPa Plot Reference:17) Pl+Pb+Q+F < Sa (EXP,Inside) Case 511%

Table of Contents



Q SPS Primary+Bending (Inner) Load Case 632 414 Plot Reference:MPa MPa 11) Q < SPS (OCC,Inside) Case 6

7%

Q SPS Primary+Bending (Outer) Load Case 634 414 Plot Reference:MPa MPa 12) Q < SPS (OCC,Outside) Case 6

8%

Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Inner) Load Case 616 0.000 Life Stress Concentration Factor = 1.000MPa 0.055 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 1.0000E11Allowable "B31" Fatigue Stress Allowable = 345.0287.1 Markl Fatigue Stress Allowable = 287.5MPa Plot Reference:13) Pl+Pb+Q+F < Sa (OCC,Inside) Case 65%

Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Outer) Load Case 617 0.000 Life Stress Concentration Factor = 1.000MPa 0.060 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 1.0000E11Allowable "B31" Fatigue Stress Allowable = 345.0287.1 Markl Fatigue Stress Allowable = 287.5MPa Plot Reference:14) Pl+Pb+Q+F < Sa (OCC,Outside) Case 6



5%



12%


16%


Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Outer) Load Case 637 0.000 Life Stress Concentration Factor = 1.000MPa 0.130 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 1.0000E11Allowable "B31" Fatigue Stress Allowable = 295.0287.1 Markl Fatigue Stress Allowable = 287.5MPa Plot Reference:14) Pl+Pb+Q+F < Sa (OCC,Outside) Case 613%

Nozzle 1


11%




10%


Pl+Pb+Q+F Damage Ratio Primary+Secondary+Peak (Outer) Load Case 624 0.000 Life Stress Concentration Factor = 1.000MPa 0.083 Stress Strain Concentration Factor = 1.000Cycles Allowed for this Stress = 1.0000E11Allowable "B31" Fatigue Stress Allowable = 295.0287.1 Markl Fatigue Stress Allowable = 287.5MPa Plot Reference:14) Pl+Pb+Q+F < Sa (OCC,Outside) Case 68%

Table of Contents




The above stress intensification factors are to be usedin a beam-type analysis of the piping system. Inplane,Outplane and Torsional sif's should be used with thematching branch pipe whose diameter and thickness is given



below. The axial sif should be used to intensify theaxial stress in the branch pipe calculated by F/A. Thepressure sif should be used to intensify the nominalpressure stress in the PARENT or HEADER, calculatedfrom PD/2T.


B31.3Peak Stress Sif .... 0.000 Axial1.263 Inplane1.544 Outplane1.000 TorsionalB31.1Peak Stress Sif .... 0.000 Axial1.400 Inplane1.400 Outplane1.400 TorsionalWRC 330Peak Stress Sif .... 0.000 Axial1.000 Inplane1.500 Outplane1.000 Torsional

Table of Contents

Allowable Loads


PRIMARY Maximum Conservative RealisticLoad Type: Individual Simultaneous SimultaneousOccuring Occuring Occuring



Axial Force ( N ) 2589641. 643979. 965969.Inplane Moment (mm. N ) 423703040. 74503872. 158046576.Outplane Moment (mm. N ) 424114784. 74576272. 158200160.Torsional Moment (mm. N ) 604422016. 150311360. 225467040.Pressure (MPa ) 6.63 1.68 1.68

NOTES:






Table of Contents

Flexibilities


Outside Diameter = 406.400 mm.



Wall Thickness = 27.963 mm.


Table of Contents





Discontinuity at Center Nozzle

1) Pl < (1.5)(S) (SUS Membrane) Case 2• 2) Qb < SPS (SUS Bending) Case 2• 3) S1+S2+S3 < 4S (SUS S1+S2+S3) Case 2• 4) Pl+Pb+Q < SPS (OPE Inside) Case 4• 5) Pl+Pb+Q < SPS (OPE Outside) Case 4• 11) Q < SPS (OCC Inside) Case 6• 12) Q < SPS (OCC Outside) Case 6• 13) Pl+Pb+Q+F < Sa (OCC Inside) Case 6• 14) Pl+Pb+Q+F < Sa (OCC Outside) Case 6• 15) Pl+Pb+Q < SPS (EXP Inside) Case 5• 16) Pl+Pb+Q < SPS (EXP Outside) Case 5• 17) Pl+Pb+Q+F < Sa (EXP Inside) Case 5• 18) Pl+Pb+Q+F < Sa (EXP Outside) Case 5• 6) Pl+Pb+Q+F < Sa (SIF Outside) Case 7• 7) Pl+Pb+Q+F < Sa (SIF Outside) Case 8• 8) Pl+Pb+Q+F < Sa (SIF Outside) Case 9• 9) Pl+Pb+Q+F < Sa (SIF Outside) Case 10• 10) Pl+Pb+Q+F < Sa (SIF Outside) Case 11•

Tabular Results























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PRESSURE VESSEL DESIGN CALCULATION IN COMPRESS CODEWARE