Codeware, Inc.
Sarasota, FL, USA
www.codeware.com
AIR VOLUME TANK DESIGN CALCULATIONS
Item: AIR VOLUME TANK
Vessel No: 207C-060
Customer: BAHRAIN NATIONAL GAS CO. (B.S.C.)
Designer: FATIMA / SATHISH
Date: June 4, 2014
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Table of ContentsGeneral Arrangement Drawing..............................................................................................................................1/121
Deficiencies Summary............................................................................................................................................2/121
Nozzle Schedule......................................................................................................................................................3/121
Nozzle Summary.....................................................................................................................................................4/121
Pressure Summary.................................................................................................................................................5/121
Revision History......................................................................................................................................................6/121
Settings Summary...................................................................................................................................................7/121
Radiography Summary...........................................................................................................................................9/121
Thickness Summary.............................................................................................................................................10/121
Weight Summary...................................................................................................................................................11/121
Long Seam Summary...........................................................................................................................................12/121
Hydrostatic Test....................................................................................................................................................13/121
Vacuum Summary.................................................................................................................................................14/121
Cylinder #1.............................................................................................................................................................15/121
B16.9 Pipe Cap #1.................................................................................................................................................28/121
Straight Flange on B16.9 Pipe Cap #1.................................................................................................................31/121
Straight Flange on B16.9 Pipe Cap #2.................................................................................................................38/121
B16.9 Pipe Cap #2.................................................................................................................................................46/121
Nozzle #1 (N1)........................................................................................................................................................49/121
Nozzle #2 (N2)........................................................................................................................................................56/121
Nozzle #3 (N3)........................................................................................................................................................63/121
Nozzle #4 (N4)........................................................................................................................................................72/121
Nozzle #5 (N5)........................................................................................................................................................81/121
Nozzle #6 (N6)........................................................................................................................................................91/121
Legs #1...................................................................................................................................................................99/121
Wind Code...........................................................................................................................................................108/121
Ear lug..................................................................................................................................................................113/121
i
General Arrangement Drawing
1/121
Deficiencies Summary
Deficiencies for Nozzle #3 (N3)The inner fillet weld (Leg41 = 3 mm) is less than the minimum of 4.56 mm (MAP condition per UW-16).
Warnings Summary
Warnings for B16.9 Pipe Cap #1External design temperature varies across this chamber. (warning)Check the following component(s): (warning)Cylinder #1 (warning)
Warnings for Ear lugLoading on brace plate and head are not considered. (warning)Ear lug brace plate should be removed before vessel is put in service. (warning)
Warnings for Nozzle #3 (N3)UCS-79: The extreme fiber elongation exceeds 5 percent. Heat treatment per UCS-56 may be required. SeeUCS-79(d)(4) or (5). (warning)
Warnings for Nozzle #4 (N4)UCS-79: The extreme fiber elongation exceeds 5 percent. Heat treatment per UCS-56 may be required. SeeUCS-79(d)(4) or (5). (warning)
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Nozzle Schedule
Nozzlemark Service Size Materials Impact
Tested Normalized Fine Grain Flange Blind
N1 Nozzle #1 152.4 OD x 50.8 Nozzle SA-105 No No No N/A No
N2 Nozzle #2 152.4 OD x 50.8 Nozzle SA-105 No No No N/A No
N3 Nozzle #3 28.58 OD x 4.56 Nozzle SA-516 60 No No No N/A No
N4 Nozzle #4 34.92 OD x 4.13 Nozzle SA-516 60 No No No N/A No
N5 Nozzle #5 34.92 OD x 4.13 Nozzle SA-105 No No No N/A No
N6 Nozzle #6 NPS 0.75 Class 3000 DN 20 - threaded Nozzle SA-105 No No No N/A No
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Nozzle Summary
Nozzlemark
OD(mm)
tn
(mm)Req t
n(mm)
A1? A2?Shell Reinforcement
Pad Corr(mm)
Aa/A
r(%)
Nom t(mm)
Design t(mm)
User t(mm)
Width(mm)
tpad
(mm)
N1 152.4 50.8 7.82 Yes Yes 12.7 N/A N/A N/A 1.6 Exempt
N2 152.4 50.8 7.82 Yes Yes 12.7 N/A N/A N/A 1.6 Exempt
N3 28.58 4.56 4.56 Yes Yes 12.7 N/A N/A N/A 1.6 Exempt
N4 34.92 4.13 3.11 Yes Yes 12.7 N/A N/A N/A 0 Exempt
N5 34.92 4.13 3.11 Yes Yes 12.7 N/A N/A N/A 0 Exempt
N6 34.92 4.13 3.11 Yes Yes 12.7 N/A N/A N/A 0 Exempt
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
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Pressure Summary
Pressure Summary for Chamber bounded by B16.9 Pipe Cap #2 and B16.9 Pipe Cap #1
IdentifierP
Design( kPa)
T
Design( °C)
MAWP( kPa)
MAP( kPa)
MAEP( kPa)
Te
external( °C)
MDMT( °C)
MDMTExemption
ImpactTested
B16.9 Pipe Cap #1 931.63 60 3,864.69 5,409.3 1,893.88 140 -105 Note 1 No
Straight Flange on B16.9 Pipe Cap #1 931.63 60 4,509.06 6,020.41 2,467.51 140 -105 Note 2 No
Cylinder #1 931.63 60 4,482.31 5,984.69 2,467.51 60 -105 Note 3 No
Straight Flange on B16.9 Pipe Cap #2 931.63 60 3,832.7 5,117.35 2,467.51 140 -105 Note 5 No
B16.9 Pipe Cap #2 931.63 60 3,284.99 4,597.9 1,893.88 140 -105 Note 4 No
Legs #1 931.63 60 931.63 N/A N/A N/A N/A N/A N/A
Nozzle #1 (N1) 931.63 60 5,273.18 7,040.69 2,467.43 60 -105 Note 6 No
Nozzle #2 (N2) 931.63 60 5,273.18 7,040.69 2,467.43 60 -105 Note 6 No
Nozzle #3 (N3) 931.63 60 5,273.18 7,040.69 2,467.43 60 -105 Note 7 No
Nozzle #4 (N4) 931.63 60 5,273.18 7,040.69 2,467.43 60 -105 Note 8 No
Nozzle #5 (N5) 931.63 60 4,283.21 6,007.19 1,893.88 140 -105 Note 9 No
Nozzle #6 (N6) 931.63 60 4,283.21 6,007.19 1,893.88 140 -105 Note 9 No
Chamber design MDMT is 0 °CChamber rated MDMT is -105 °C @ 931.63 kPa
Chamber MAWP hot & corroded is 931.63 kPa @ 60 °C
Chamber MAP cold & new is 4,597.9 kPa @ 45 °C
Chamber MAEP is 1,893.88 kPa @ 60 °CVacuum rings did not govern the external pressure rating.
Notes for MDMT Rating:
Note # Exemption Details
1. Straight Flange governs MDMT
2. Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2028)
3. Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1734)
4. Straight Flange governs MDMT
5. Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.203)
6. Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1733).
7. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0304).
8. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0256).
9. Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0219).
Design notes are available on the Settings Summary page.
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Revision History
No. Date Operator Notes
0 6/4/2014 SATHISH New vessel created ASME Section VIII Division 1 [COMPRESS 2014 Build 7400]
1 6/4/2014 SATHISH
Converted from ASME Section VIII Division 1, 2013 Edition Metric to ASME Section VIIIDivision 1, 2010 Edition, A11 Addenda Metric. During the conversion, changes may havebeen made to your vessel (some may be listed above). Please check your vessel carefully.
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Settings Summary
COMPRESS 2014 Build 7400
Units: SI
Datum Line Location: 0.00 mm from bottom 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): NoDesign nozzles for: Design P, find nozzle MAWP and MAPCorrosion weight loss: 100% of theoretical lossUG-23 Stress Increase: 1.20Skirt/legs stress increase: 1.0Minimum nozzle projection: 20 mmJuncture calculations for α > 30 only: YesPreheat P-No 1 Materials > 1.25" and <= 1.50" thick: NoUG-37(a) shell tr calculation considers longitudinal stress: NoButt welds are tapered per Figure UCS-66.3(a).
Hydro/Pneumatic Test
Shop Hydrotest Pressure: 1.3 times vesselMAWP
Test liquid specific gravity: 1.00Maximum stress during test: 90% of yield
Required Marking - UG-116
UG-116(e) Radiography: RT4UG-116(f) Postweld heat treatment: None
Code Cases\Interpretations
Use Code Case 2547: NoUse Code Case 2695: NoApply interpretation VIII-1-83-66: YesApply interpretation VIII-1-86-175: YesApply interpretation VIII-1-01-37: YesNo UCS-66.1 MDMT reduction: NoNo UCS-68(c) MDMT reduction: NoDisallow UG-20(f) exemptions: No
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UG-22 Loadings
UG-22(a) Internal or External Design Pressure : YesUG-22(b) Weight of the vessel and normal contents under operating or test conditions: YesUG-22(c) Superimposed static reactions from weight of attached equipment (external loads): NoUG-22(d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs: YesUG-22(f) Wind reactions: YesUG-22(f) Seismic reactions: NoUG-22(j) Test pressure and coincident static head acting during the test: NoNote: UG-22(b),(c) and (f) loads only considered when supports are present.
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Radiography Summary
Radiography for Chamber bounded by B16.9 Pipe Cap #2 and B16.9 Pipe Cap #1
ComponentLongitudinal Seam Top Circumferential Seam Bottom Circumferential Seam
MarkCategory
(Fig UW-3) Radiography / Joint Type Category(Fig UW-3) Radiography / Joint Type Category
(Fig UW-3) Radiography / Joint Type
B16.9 Pipe Cap #1 N/A Seamless No RT N/A N/A B Full UW-11(a) / Type 1 RT1
Cylinder #1 A Spot UW-11(b) / Type 1 B Full UW-11(a) / Type 1 B Spot UW-11(b) / Type 1 RT4
B16.9 Pipe Cap #2 N/A Seamless No RT B Spot UW-11(b) / Type 1 N/A N/A RT3
Nozzle Longitudinal Seam Nozzle to Vessel Circumferential Seam Nozzle free end Circumferential Seam
Nozzle #6 (N6) N/A Seamless No RT D N/A / Type 7 N/A N/A N/A
Nozzle #1 (N1) N/A Seamless No RT D N/A / Type 7 N/A N/A N/A
Nozzle #2 (N2) N/A Seamless No RT D N/A / Type 7 N/A N/A N/A
Nozzle #3 (N3) A User Defined (E = 1.00) D N/A / Type 7 N/A N/A RT1
Nozzle #4 (N4) A User Defined (E = 1.00) D N/A / Type 7 N/A N/A RT1
Nozzle #5 (N5) N/A Seamless No RT D N/A / Type 7 N/A N/A N/A
Chamber bounded by B16.9 Pipe Cap #2 and B16.9 Pipe Cap #1 - UG-116(e) Radiography: RT4
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Thickness Summary
ComponentIdentifier
Material Diameter(mm)
Length(mm)
Nominal t(mm)
Design t(mm)
Total Corrosion(mm)
JointE
Load
B16.9 Pipe Cap #1 SA-234 WPB 482.6 ID 131.76 12.7 7.72 3.2 1.00 External
Straight Flange on B16.9 Pipe Cap #1 SA-234 WPB 482.6 ID 97.24 12.7 8.37 3.2 1.00 External
Cylinder #1 SA-516 70 482.6 ID 700 12.7 8.37 3.2 0.85 External
Straight Flange on B16.9 Pipe Cap #2 SA-234 WPB 482.6 ID 97.24 12.7 8.37 3.2 0.85 External
B16.9 Pipe Cap #2 SA-234 WPB 482.6 ID 131.76 12.7 7.72 3.2 0.85 External
Nominal t: Vessel wall nominal thickness
Design t: Required vessel thickness due to governing loading + corrosion
Joint E: Longitudinal seam joint efficiency
* Head minimum thickness after forming
Load
internal: Circumferential stress due to internal pressure governs
external: External pressure governs
Wind: Combined longitudinal stress of pressure + weight + wind governs
Seismic: Combined longitudinal stress of pressure + weight + seismic governs
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Weight Summary
ComponentWeight ( kg) Contributed by Vessel Elements Surface
Aream2Metal
New*Metal
Corroded* Insulation InsulationSupports Lining Piping
+ Liquid
Operating Liquid Test Liquid
New Corroded New Corroded
B16.9 Pipe Cap #1 43.4 32.5 0 0 0 0 0 0 32.5 33.1 0.47
Cylinder #1 104.6 78.2 0 0 0 0 0 0 128.1 129.9 1.08
B16.9 Pipe Cap #2 43.4 32.5 0 0 0 0 0 0 32.5 33.1 0.47
Legs #1 7.3 7.3 0 0 0 0 0 0 0 0 0.18
TOTAL: 198.8 150.5 0 0 0 0 0 0 193.1 196.1 2.2
* Shells with attached nozzles have weight reduced by material cut out for opening.
Component
Weight ( kg) Contributed by Attachments SurfaceAream2Body Flanges Nozzles &
Flanges PackedBeds
Ladders &Platforms
Trays TraySupports
Rings &Clips
VerticalLoads
New Corroded New Corroded
B16.9 Pipe Cap #1 0 0 0.1 0.1 0 0 0 0 0 0 0
Cylinder #1 0 0 15.8 15.5 0 0 0 0 8.6 0 0.1
B16.9 Pipe Cap #2 0 0 0.1 0.1 0 0 0 0 0 0 0
Legs #1 0 0 0 0 0 0 0 0 0 0 0
TOTAL: 0 0 16.1 15.7 0 0 0 0 8.6 0 0.11
Vessel operating weight, Corroded: 173 kgVessel operating weight, New: 223 kgVessel empty weight, Corroded: 173 kgVessel empty weight, New: 223 kgVessel test weight, New: 417 kgVessel test weight, Corroded: 369 kgVessel surface area: 2.3 m2
Vessel center of gravity location - from datum - lift condition
Vessel Lift Weight, New: 223 kgCenter of Gravity: 350.34 mm
Vessel Capacity
Vessel Capacity** (New): 193 litersVessel Capacity** (Corroded): 196 liters**The vessel capacity does not include volume of nozzle, piping or other attachments.
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Long Seam Summary
Shell Long SeamAngles
Component Seam 1
Cylinder #1 0°
Shell Plate Lengths
Component StartingAngle Plate 1
Cylinder #1 0° 1,556.03 mm
*North is located at 0°*Plate Lengths use the circumference of the vessel based on the mid diameter of the components
Shell Rollout
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Hydrostatic Test
Shop test pressure determination for Chamber bounded by B16.9 Pipe Cap #2 and B16.9 Pipe Cap #1 basedon MAWP per UG-99(b)
Shop hydrostatic test gauge pressure is 1,211.12 kPa at 45 °C (the chamber MAWP = 931.63 kPa)
The shop test is performed with the vessel in the horizontal position.
IdentifierLocal testpressure
kPa
Test liquidstatic head
kPa
UG-99(b)stressratio
UG-99(b)pressure
factorB16.9 Pipe Cap #1 (1) 1,215.85 4.73 1 1.30
Straight Flange on B16.9 Pipe Cap #1 1,215.85 4.73 1 1.30
Cylinder #1 1,215.85 4.73 1 1.30
Straight Flange on B16.9 Pipe Cap #2 1,215.85 4.73 1 1.30
B16.9 Pipe Cap #2 1,215.85 4.73 1 1.30
Nozzle #1 (N1) 1,216.35 5.23 1 1.30
Nozzle #2 (N2) 1,216.35 5.23 1 1.30
Nozzle #3 (N3) 1,213.58 2.46 1 1.30
Nozzle #4 (N4) 1,213.61 2.5 1 1.30
Nozzle #5 (N5) 1,213.61 2.5 1 1.30
Nozzle #6 (N6) 1,213.61 2.5 1 1.30
Notes:(1) B16.9 Pipe Cap #1 limits the UG-99(b) stress ratio.(2) 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 B16.9 Pipe Cap #2 and B16.9 PipeCap #1.
The test temperature of 45 °C is warmer than the minimum recommended temperature of -88 °C so the brittlefracture provision of UG-99(h) has been met.
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Vacuum Summary
Component Line of SupportElevation
above Datum(mm)
Length Le(mm)
B16.9 Pipe Cap #1 - 929 N/A
- 1/3 depth of B16.9 Pipe Cap #1 837.99 N/A
Straight Flange on B16.9 Pipe Cap #1 Top - 797.24 975.98
Straight Flange on B16.9 Pipe Cap #1 Bottom - 700 975.98
Cylinder #1 Top - 700 975.98
Cylinder #1 Bottom - 0 975.98
Straight Flange on B16.9 Pipe Cap #2 Top - 0 975.98
Straight Flange on B16.9 Pipe Cap #2 Bottom - -97.24 975.98
- 1/3 depth of B16.9 Pipe Cap #2 -137.99 N/A
B16.9 Pipe Cap #2 - -229 N/A
Note
For main components, the listed value of 'Le' is the largest unsupported length for the component.
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Cylinder #1
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component: CylinderMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 19)Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1734)
Internal design pressure: P = 931.63 kPa @ 60 °CExternal design pressure: Pe = 931.63 kPa @ 60 °C
Static liquid head:
Pth = 4.73 kPa (SG = 1, Hs = 482.6 mm, Horizontal testhead)
Corrosion allowance Inner C = 1.6 mm Outer C = 1.6 mm
Design MDMT = 0 °C No impact test performedRated MDMT = -105 °C Material is not normalized
Material is not produced to Fine Grain PracticePWHT is not performed
Radiography: Longitudinal joint - Spot UW-11(b) Type 1Top circumferential joint - Full UW-11(a) Type 1Bottom circumferential joint - Spot UW-11(b) Type 1
Estimated weight New = 104.6 kg corr = 78.2 kgCapacity New = 128.04 liters corr = 129.75 liters
ID = 482.6 mmLengthLc
= 700 mm
t = 12.7 mm
Design thickness, (at 60 °C) UG-27(c)(1)
t = P*R / (S*E - 0.60*P) + Corrosion= 931.63*242.9 / (138,000*0.85 - 0.60*931.63) + 3.2= 5.14 mm
Maximum allowable working pressure, (at 60 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t) - Ps= 138,000*0.85*9.5 / (242.9 + 0.60*9.5) - 0= 4,482.31 kPa
Maximum allowable pressure, (at 45 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)= 138,000*0.85*12.7 / (241.3 + 0.60*12.7)= 5,984.69 kPa
External Pressure, (Corroded & at 60 °C) UG-28(c)
L / Do = 975.98 / 508 = 1.9212Do / t = 508 / 5.17 = 98.3386
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From table G: A = 0.000691From table CS-2Metric: B = 68.7111 MPa
Pa = 4*B / (3*(Do / t))= 4*68,711.1 / (3*(508 / 5.17))= 931.63 kPa
Design thickness for external pressure Pa = 931.63 kPa
ta = t + Corrosion = 5.17 + 3.2 = 8.37mm
Maximum Allowable External Pressure, (Corroded & at 60 °C) UG-28(c)
L / Do = 975.98 / 508 = 1.9212Do / t = 508 / 9.5 = 53.4759From table G: A = 0.001734From table CS-2Metric: B = 98.9641 MPa
Pa = 4*B / (3*(Do / t))= 4*98,964.13 / (3*(508 / 9.5))= 2,467.51 kPa
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)= (50*12.7 / 247.65)*(1 - 247.65 / ∞)= 2.5641%
The extreme fiber elongation does not exceed 5%.
External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104)
Pv = W / (2*π*Rm) + M / (π*Rm2)
= 98.03*129.9 / (2*π*247.65) + 10000*137 / (π*247.652)= 15.2961 N/cm
α = Pv / (Pe*Do)= 100*15.2961 / (931.63*508)= 0.0032
n = 3
m = 1.23 / (L / Do)2
= 1.23 / (975.98 / 508)2
= 0.3332
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)= (32 - 1 + 0.3332 + 0.3332*0.0032) / (32 - 1 + 0.3332)= 1.0001
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
External Pressure + Weight + Wind Loading Check at Bottom Seam (Bergman, ASME paper 54-A-104)
Pv = 0.6*W / (2*π*Rm) + M / (π*Rm2)
= 0.60*98.03*-35.5 / (2*π*247.65) + 10000*6.3 / (π*247.652)
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= -1.0161 N/cm
α = Pv / (Pe*Do)= 100*-1.0161 / (931.63*508)= -0.0002
n = 3
m = 1.23 / (L / Do)2
= 1.23 / (975.98 / 508)2
= 0.3332
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)= (32 - 1 + 0.3332 + 0.3332*-0.0002) / (32 - 1 + 0.3332)= 1.0000
Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
Design thickness = 8.37 mm
The governing condition is due to external pressure.
The cylinder thickness of 12.7 mm is adequate.
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Thickness Required Due to Pressure + External Loads
Condition Pressure P (kPa)
AllowableStressBeforeUG-23Stress
Increase (MPa)
Temperature (°C)
Corrosion C(mm) Location Load Req'd Thk Due to
Tension (mm)Req'd Thk Due to
Compression (mm)
St Sc
Operating, Hot & Corroded 931.63 138 118.09 60 3.2 Top Wind 0.68 0.67
Bottom Wind 0.68 0.68
Operating, Hot & New 931.63 138 119.28 60 0 Top Wind 0.68 0.67
Bottom Wind 0.68 0.68
Hot Shut Down, Corroded 0 138 118.09 60 3.2 Top Wind 0 0.01
Bottom Wind 0 0
Hot Shut Down, New 0 138 119.28 60 0 Top Wind 0 0.01
Bottom Wind 0 0
Empty, Corroded 0 138 118.09 21.11 3.2 Top Wind 0 0.01
Bottom Wind 0 0
Empty, New 0 138 119.28 21.11 0 Top Wind 0 0.01
Bottom Wind 0 0
Vacuum -931.63 138 118.09 60 3.2 Top Wind 0.8 0.81
Bottom Wind 0.8 0.8
Hot Shut Down, Corroded,Weight & Eccentric MomentsOnly 0 138 118.09 60 3.2
Top Weight 0.01 0.01
Bottom Weight 0 0
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 9.5)= 0.004675
B = 118.09 MPa
S = 138 / 1.00 = 138 MPa
ScHC = min(B, S) = 118.09 MPa
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 12.7)= 0.006250
B = 119.28 MPa
S = 138 / 1.00 = 138 MPa
ScHN = min(B, S) = 119.28 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 12.7)= 0.006250
B = 119.28 MPa
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S = 138 / 1.00 = 138 MPa
ScCN = min(B, S) = 119.28 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 9.5)= 0.004675
B = 118.09 MPa
S = 138 / 1.00 = 138 MPa
ScCC = min(B, S) = 118.09 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (tableCS-2 Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 9.5)= 0.004675
B = 118.09 MPa
S = 138 / 1.00 = 138 MPa
ScVC = min(B, S) = 118.09 MPa
Operating, Hot & Corroded, Wind, Above Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)= 931.63*242.9 / (2*138,000*1.20*1.00 + 0.40*|931.63|)= 0.68 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 137 / (π*247.652*138,000*1.20*1.00) * 106
= 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*129.9 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0.68 + 0 - (0)= 0.68 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 129.9 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0) - (0.68)|= 0.67 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))= 2*138,000*1.20*1.00*(9.5 - 0 + (0)) / (242.9 - 0.40*(9.5 - 0 + (0)))= 13,156.9 kPa
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Operating, Hot & New, Wind, Above Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)= 931.63*241.3 / (2*138,000*1.20*1.00 + 0.40*|931.63|)= 0.68 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 137.7 / (π*247.652*138,000*1.20*1.00) * 106
= 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*168.7 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0.68 + 0 - (0)= 0.68 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 168.7 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0.01 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0.01) - (0.68)|= 0.67 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))= 2*138,000*1.20*1.00*(12.7 - 0 + (0)) / (241.3 - 0.40*(12.7 - 0 + (0)))= 17,805.78 kPa
Hot Shut Down, Corroded, Wind, Above Support Point
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 137 / (π*247.652*138,000*1.20*1.00) * 106
= 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*129.9 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0 + 0 - (0)= 0 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 137 / (π*247.652*118,088.35*1.20) * 106
= 0.01 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 129.9 / (2*π*247.65*118,088.35*1.20) * 104
= 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0.01 + (0.01) - (0)
20/121
= 0.01 mm
Hot Shut Down, New, Wind, Above Support Point
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 137.7 / (π*247.652*138,000*1.20*1.00) * 106
= 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*168.7 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0 + 0 - (0)= 0 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 137.7 / (π*247.652*119,275.31*1.20) * 106
= 0 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 168.7 / (2*π*247.65*119,275.31*1.20) * 104
= 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0)= 0.01 mm
Empty, Corroded, Wind, Above Support Point
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 137 / (π*247.652*138,000*1.20*1.00) * 106
= 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*129.9 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0 + 0 - (0)= 0 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 137 / (π*247.652*118,088.35*1.20) * 106
= 0.01 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 129.9 / (2*π*247.65*118,088.35*1.20) * 104
= 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0.01 + (0.01) - (0)= 0.01 mm
21/121
Empty, New, Wind, Above Support Point
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 137.7 / (π*247.652*138,000*1.20*1.00) * 106
= 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*168.7 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0 + 0 - (0)= 0 mm
tmc = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 137.7 / (π*247.652*119,275.31*1.20) * 106
= 0 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 168.7 / (2*π*247.65*119,275.31*1.20) * 104
= 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0)= 0.01 mm
Vacuum, Wind, Above Support Point
tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)= -931.63*242.9 / (2*118,088.35*1.20 + 0.40*|931.63|)= -0.8 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 137 / (π*247.652*118,088.35*1.20) * 106
= 0.01 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*129.9 / (2*π*247.65*118,088.35*1.20) * 104
= 0 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.8 + 0.01 - (0)|= 0.8 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 129.9 / (2*π*247.65*118,088.35*1.20) * 104
= 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0.01 + (0.01) - (-0.8)= 0.81 mm
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))= 2*118,088.35*1.20*(9.5 - 0.01 - 0.01) / (242.9 - 0.40*(9.5 - 0.01 - 0.01))
22/121
= 11,247.13 kPa
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Above Support Point
tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 43.7 / (π*247.652*118,088.35*1.00) * 106
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 129.9 / (2*π*247.65*118,088.35*1.00) * 104
= 0.01 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0.01)|= 0.01 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0.01) - (0)= 0.01 mm
Operating, Hot & Corroded, Wind, Below Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)= 931.63*242.9 / (2*138,000*1.20*1.00 + 0.40*|931.63|)= 0.68 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 6.3 / (π*247.652*138,000*1.20*1.00) * 106
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -35.5 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0.68 + 0 - (0)= 0.68 mm
twc = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*-35.5 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0) - (0.68)|= 0.68 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))= 2*138,000*1.20*1.00*(9.5 - 0 + (0)) / (242.9 - 0.40*(9.5 - 0 + (0)))= 13,156.59 kPa
23/121
Operating, Hot & New, Wind, Below Support Point
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)= 931.63*241.3 / (2*138,000*1.20*1.00 + 0.40*|931.63|)= 0.68 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 6.3 / (π*247.652*138,000*1.20*1.00) * 106
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -47.5 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0.68 + 0 - (0)= 0.68 mm
twc = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*-47.5 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0) - (0.68)|= 0.68 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))= 2*138,000*1.20*1.00*(12.7 - 0 + (0)) / (241.3 - 0.40*(12.7 - 0 + (0)))= 17,803.58 kPa
Hot Shut Down, Corroded, Wind, Below Support Point
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 6.3 / (π*247.652*138,000*1.20*1.00) * 106
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -35.5 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)= 0 mm
twc = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*-35.5 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0)|= 0 mm
24/121
Hot Shut Down, New, Wind, Below Support Point
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 6.3 / (π*247.652*138,000*1.20*1.00) * 106
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -47.5 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)= 0 mm
twc = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*-47.5 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0)|= 0 mm
Empty, Corroded, Wind, Below Support Point
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 6.3 / (π*247.652*138,000*1.20*1.00) * 106
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -35.5 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)= 0 mm
twc = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*-35.5 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0)|= 0 mm
Empty, New, Wind, Below Support Point
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 6.3 / (π*247.652*138,000*1.20*1.00) * 106
= 0 mm
25/121
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -47.5 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)= 0 mm
twc = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*-47.5 / (2*π*247.65*138,000*1.20*1.00) * 104
= 0 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0)|= 0 mm
Vacuum, Wind, Below Support Point
tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)= -931.63*242.9 / (2*118,088.35*1.20 + 0.40*|931.63|)= -0.8 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 6.3 / (π*247.652*118,088.35*1.20) * 106
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= -35.5 / (2*π*247.65*118,088.35*1.20) * 104
= 0 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.8 + 0 - (0)|= 0.8 mm
twc = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*-35.5 / (2*π*247.65*118,088.35*1.20) * 104
= 0 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0) - (-0.8)= 0.8 mm
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))= 2*118,088.35*1.20*(9.5 - 0 - 0) / (242.9 - 0.40*(9.5 - 0 - 0))= 11,260.99 kPa
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Below Support Point
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 0 / (π*247.652*138,000*1.00*1.00) * 106
26/121
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -35.5 / (2*π*247.65*138,000*1.00*1.00) * 104
= 0 mm
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)= 0 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0)|= 0 mm
27/121
B16.9 Pipe Cap #1
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component: ASME B16.9 Pipe Cap (modified)NPS and Schedule: NPS 20 Sch 30 (XS) DN 500Material Specification: SA-234 WPB (II-D Metric p.10, ln. 42)Straight Flange governs MDMT
Internal design pressure: P = 931.63 kPa @ 60 °CExternal design pressure: Pe = 931.63 kPa @ 140 °C
Static liquid head:
Ps= 0 kPa (SG=1, Hs=0 mm Operating head)Pth= 4.73 kPa (SG=1, Hs=482.6 mm Horizontal test head)
Corrosion allowance: Inner C = 1.6 mm Outer C = 1.6 mm
Design MDMT = 0°C No impact test performedRated MDMT = -105°C Material is not normalized
Material is not produced to fine grain practicePWHT is not performedDo not Optimize MDMT / Find MAWP
Radiography: Category A joints - Seamless No RT Head to shell seam - Full UW-11(a) Type 1
Estimated weight*: new = 43.4 kg corr = 32.5 kgCapacity*: new = 32.5 liters corr = 33.1 liters* includes straight flange
Inner diameter = 482.6 mmNominal head thickness = 12.7 mmMinimum head thickness = 11.11 mmOverall length E = 229 mmStraight flange length Lsf = 97.24 mmNominal straight flange thickness tsf = 12.7 mmResults Summary
The governing condition is external pressure.Minimum thickness per UG-16 = 1.5 mm + 3.2 mm = 4.7 mmDesign thickness due to internal pressure (t) = 5.11 mmDesign thickness due to external pressure (te) = 7.72 mmGoverning straight flange design thickness = 8.37 mmMaximum allowable working pressure (MAWP) = 3,864.69 kPaMaximum allowable pressure (MAP) = 5,409.3 kPaMaximum allowable external pressure (MAEP) = 1,893.88 kPa
K (Corroded)
K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (485.8 / (2*122.25))2]=0.991302
28/121
K (New)
K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (482.6 / (2*120.65))2]=1
Design thickness for internal pressure, (Corroded at 60 °C) Appendix 1-4(c)
t = P*D*K / (2*S*E - 0.2*P) + Corrosion= 931.63*485.8*0.991302 / (2*118,000*1 - 0.2*931.63) + 3.2= 5.1 mm
The head internal pressure design thickness is 5.11 mm.
Maximum allowable working pressure, (Corroded at 60 °C) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*118,000*1*(0.875*12.7 - 3.2) / (0.991302*485.8 +0.2*(0.875*12.7 - 3.2)) - 0= 3,864.69 kPa
The maximum allowable working pressure (MAWP) is 3,864.69 kPa.
Maximum allowable pressure, (New at 45 °C) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*118,000*1*0.875*12.7 / (1*482.6 +0.2*0.875*12.7) - 0= 5,409.3 kPa
The maximum allowable pressure (MAP) is 5,409.3 kPa.
Design thickness for external pressure, (Corroded at 140 °C) UG-33(d)
Equivalent outside spherical radius (Ro)Ro = Ko*Do
= 0.8675*508= 440.67 mm
A = 0.125 / (Ro / t)= 0.125 / (440.67 / 4.52)= 0.001281
From Table CS-2Metric: B = 90.9019
MPa
Pa = B / (Ro / t)= 90,901.92 / (440.67 / 4.52)= 931.63 kPa
t = 4.52 mm + Corrosion = 4.52 mm + 3.2 mm = 7.72 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*931.63*485.8*0.991302 / (2*118,000*1 - 0.2*1.67*931.63) + 3.2= 6.38 mm
The head external pressure design thickness (te) is 7.72 mm.
29/121
Maximum Allowable External Pressure, (Corroded at 140 °C) UG-33(d)
Equivalent outside spherical radius (Ro)Ro = Ko*Do
= 0.8675*508= 440.67 mm
A = 0.125 / (Ro / t)= 0.125 / (440.67 / (0.875*12.7 - 3.2))= 0.002244
From Table CS-2Metric: B = 105.482
MPa
Pa = B / (Ro / t)= 105,482 / (440.67 / (0.875*12.7 - 3.2))= 1,893.8783 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*118,000*1*(0.875*12.7 - 3.2) / ((0.991302*485.8 +0.2*(0.875*12.7 - 3.2))*1.67) -0
= 2,314.19 kPa
The maximum allowable external pressure (MAEP) is 1,893.88 kPa.
30/121
Straight Flange on B16.9 Pipe Cap #1
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component: Straight FlangeMaterial specification: SA-234 WPB (II-D Metric p. 10, ln. 42)Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.2028)
Internal design pressure: P = 931.63 kPa @ 60 °CExternal design pressure: Pe = 931.63 kPa @ 140 °C
Static liquid head:
Pth = 4.73 kPa (SG = 1, Hs = 482.6 mm, Horizontal testhead)
Corrosion allowance Inner C = 1.6 mm Outer C = 1.6 mm
Design MDMT = 0 °C No impact test performedRated MDMT = -105 °C Material is not 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 = 15.1 kg corr = 11.3 kgCapacity New = 17.79 liters corr = 18.02 liters
ID = 482.6 mmLengthLc
= 97.24 mm
t = 12.7 mm
Design thickness, (at 60 °C) UG-27(c)(1)
t = P*R / (S*E - 0.60*P) + Corrosion= 931.63*242.9 / (118,000*1.00 - 0.60*931.63) + 3.2= 5.13 mm
Maximum allowable working pressure, (at 60 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t) - Ps= 118,000*1.00*9.5 / (242.9 + 0.60*9.5) - 0= 4,509.06 kPa
Maximum allowable pressure, (at 45 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)= 118,000*1.00*12.7 / (241.3 + 0.60*12.7)= 6,020.41 kPa
External Pressure, (Corroded & at 140 °C) UG-28(c)
L / Do = 975.98 / 508 = 1.9212Do / t = 508 / 5.17 = 98.3386From table G: A = 0.000691
31/121
From table CS-2Metric: B = 68.7111 MPa
Pa = 4*B / (3*(Do / t))= 4*68,711.1 / (3*(508 / 5.17))= 931.63 kPa
Design thickness for external pressure Pa = 931.63 kPa
ta = t + Corrosion = 5.17 + 3.2 = 8.37mm
Maximum Allowable External Pressure, (Corroded & at 140 °C) UG-28(c)
L / Do = 975.98 / 508 = 1.9212Do / t = 508 / 9.5 = 53.4759From table G: A = 0.001734From table CS-2Metric: B = 98.9641 MPa
Pa = 4*B / (3*(Do / t))= 4*98,964.13 / (3*(508 / 9.5))= 2,467.51 kPa
Design thickness = 8.37 mm
The governing condition is due to external pressure.
The cylinder thickness of 12.7 mm is adequate.
32/121
Thickness Required Due to Pressure + External Loads
Condition Pressure P (kPa)
AllowableStress BeforeUG-23 Stress
Increase (MPa)
Temperature (°C)
Corrosion C(mm) Load Req'd Thk Due to
Tension (mm)
Req'd Thk Dueto
Compression(mm)
St Sc
Operating, Hot & Corroded 931.63 118 118 60 3.2 Wind 0.8 0.8
Operating, Hot & New 931.63 118 118 60 0 Wind 0.79 0.79
Hot Shut Down, Corroded 0 118 118 60 3.2 Wind 0 0
Hot Shut Down, New 0 118 118 60 0 Wind 0 0
Empty, Corroded 0 118 118 21.11 3.2 Wind 0 0
Empty, New 0 118 118 21.11 0 Wind 0 0
Vacuum -931.63 118 118 140 3.2 Wind 0.8 0.8
Hot Shut Down, Corroded, Weight &Eccentric Moments Only 0 118 118 60 3.2 Weight 0 0
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 9.5)= 0.004675
B = 118.09 MPa
S = 118 / 1.00 = 118 MPa
ScHC = min(B, S) = 118 MPa
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 12.7)= 0.006250
B = 119.28 MPa
S = 118 / 1.00 = 118 MPa
ScHN = min(B, S) = 118 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 12.7)= 0.006250
B = 119.28 MPa
S = 118 / 1.00 = 118 MPa
ScCN = min(B, S) = 118 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 9.5)= 0.004675
B = 118.09 MPa
33/121
S = 118 / 1.00 = 118 MPa
ScCC = min(B, S) = 118 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (tableCS-2 Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 9.5)= 0.004675
B = 118.09 MPa
S = 118 / 1.00 = 118 MPa
ScVC = min(B, S) = 118 MPa
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)= 931.63*242.9 / (2*118,000*1.20*1.00 + 0.40*|931.63|)= 0.8 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5 / (π*247.652*118,000*1.20*1.00) * 106
= 0 mm
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*32.6 / (2*π*247.65*118,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0.8 + 0 - (0)= 0.8 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 32.6 / (2*π*247.65*118,000*1.20*1.00) * 104
= 0 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0) - (0.8)|= 0.8 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))= 2*118,000*1.20*1.00*(9.5 - 0 + (0)) / (242.9 - 0.40*(9.5 - 0 + (0)))= 11,252.53 kPa
Operating, Hot & New, Wind, Bottom Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)= 931.63*241.3 / (2*118,000*1.20*1.00 + 0.40*|931.63|)= 0.79 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5 / (π*247.652*118,000*1.20*1.00) * 106
= 0 mm
34/121
tw = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*43.6 / (2*π*247.65*118,000*1.20*1.00) * 104
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0.79 + 0 - (0)= 0.79 mm
twc = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 43.6 / (2*π*247.65*118,000*1.20*1.00) * 104
= 0 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0) - (0.79)|= 0.79 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))= 2*118,000*1.20*1.00*(12.7 - 0 + (0)) / (241.3 - 0.40*(12.7 - 0 + (0)))= 15,227.01 kPa
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 5 / (π*247.652*118,000*1.20) * 106
= 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*32.6 / (2*π*247.65*118,000*1.20) * 104
= 0 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0)|= 0 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 32.6 / (2*π*247.65*118,000*1.20) * 104
= 0 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0) - (0)= 0 mm
Hot Shut Down, New, Wind, Bottom Seam
tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 5 / (π*247.652*118,000*1.20) * 106
= 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*43.6 / (2*π*247.65*118,000*1.20) * 104
= 0 mm
35/121
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0)|= 0 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 43.6 / (2*π*247.65*118,000*1.20) * 104
= 0 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0) - (0)= 0 mm
Empty, Corroded, Wind, Bottom Seam
tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 5 / (π*247.652*118,000*1.20) * 106
= 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*32.6 / (2*π*247.65*118,000*1.20) * 104
= 0 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0)|= 0 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 32.6 / (2*π*247.65*118,000*1.20) * 104
= 0 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0) - (0)= 0 mm
Empty, New, Wind, Bottom Seam
tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 5 / (π*247.652*118,000*1.20) * 106
= 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*43.6 / (2*π*247.65*118,000*1.20) * 104
= 0 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0)|= 0 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 43.6 / (2*π*247.65*118,000*1.20) * 104
= 0 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0) - (0)
36/121
= 0 mm
Vacuum, Wind, Bottom Seam
tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)= -931.63*242.9 / (2*118,000*1.20 + 0.40*|931.63|)= -0.8 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 5 / (π*247.652*118,000*1.20) * 106
= 0 mm
tw = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*32.6 / (2*π*247.65*118,000*1.20) * 104
= 0 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.8 + 0 - (0)|= 0.8 mm
twc = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 32.6 / (2*π*247.65*118,000*1.20) * 104
= 0 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0) - (-0.8)= 0.8 mm
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))= 2*118,000*1.20*(9.5 - 0 - 0) / (242.9 - 0.40*(9.5 - 0 - 0))= 11,249.74 kPa
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0 mm (Pressure)tm = M / (π*Rm
2*Sc*Ks) * MetricFactor (bending)= 0 / (π*247.652*118,000*1.00) * 106
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 32.6 / (2*π*247.65*118,000*1.00) * 104
= 0 mm
tt = |tp + tm - tw| (total, net compressive)= |0 + 0 - (0)|= 0 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0) - (0)= 0 mm
37/121
Straight Flange on B16.9 Pipe Cap #2
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component: Straight FlangeMaterial specification: SA-234 WPB (II-D Metric p. 10, ln. 42)Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.203)
Internal design pressure: P = 931.63 kPa @ 60 °CExternal design pressure: Pe = 931.63 kPa @ 140 °C
Static liquid head:
Pth = 4.73 kPa (SG = 1, Hs = 482.6 mm, Horizontal testhead)
Corrosion allowance Inner C = 1.6 mm Outer C = 1.6 mm
Design MDMT = 0 °C No impact test performedRated MDMT = -105 °C Material is not normalized
Material is not produced to Fine Grain PracticePWHT is not performed
Radiography: Longitudinal joint - Seamless No RTCircumferential joint - Spot UW-11(b) Type 1
Estimated weight New = 15.1 kg corr = 11.3 kgCapacity New = 17.79 liters corr = 18.02 liters
ID = 482.6 mmLengthLc
= 97.24 mm
t = 12.7 mm
Design thickness, (at 60 °C) UG-27(c)(1)
t = P*R / (S*E - 0.60*P) + Corrosion= 931.63*242.9 / (118,000*0.85 - 0.60*931.63) + 3.2= 5.47 mm
Maximum allowable working pressure, (at 60 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t) - Ps= 118,000*0.85*9.5 / (242.9 + 0.60*9.5) - 0= 3,832.7 kPa
Maximum allowable pressure, (at 45 °C) UG-27(c)(1)
P = S*E*t / (R + 0.60*t)= 118,000*0.85*12.7 / (241.3 + 0.60*12.7)= 5,117.35 kPa
External Pressure, (Corroded & at 140 °C) UG-28(c)
L / Do = 975.98 / 508 = 1.9212Do / t = 508 / 5.17 = 98.3386From table G: A = 0.000691
38/121
From table CS-2Metric: B = 68.7111 MPa
Pa = 4*B / (3*(Do / t))= 4*68,711.1 / (3*(508 / 5.17))= 931.63 kPa
Design thickness for external pressure Pa = 931.63 kPa
ta = t + Corrosion = 5.17 + 3.2 = 8.37mm
Maximum Allowable External Pressure, (Corroded & at 140 °C) UG-28(c)
L / Do = 975.98 / 508 = 1.9212Do / t = 508 / 9.5 = 53.4759From table G: A = 0.001734From table CS-2Metric: B = 98.9641 MPa
Pa = 4*B / (3*(Do / t))= 4*98,964.13 / (3*(508 / 9.5))= 2,467.51 kPa
Design thickness = 8.37 mm
The governing condition is due to external pressure.
The cylinder thickness of 12.7 mm is adequate.
39/121
Thickness Required Due to Pressure + External Loads
Condition Pressure P (kPa)
AllowableStress BeforeUG-23 Stress
Increase (MPa)
Temperature (°C)
Corrosion C(mm) Load Req'd Thk Due to
Tension (mm)
Req'd Thk Dueto
Compression(mm)
St Sc
Operating, Hot & Corroded 931.63 118 118 60 3.2 Wind 0.94 0.94
Operating, Hot & New 931.63 118 118 60 0 Wind 0.93 0.93
Hot Shut Down, Corroded 0 118 118 60 3.2 Wind 0 0
Hot Shut Down, New 0 118 118 60 0 Wind 0 0
Empty, Corroded 0 118 118 21.11 3.2 Wind 0 0
Empty, New 0 118 118 21.11 0 Wind 0 0
Vacuum -931.63 118 118 140 3.2 Wind 0.8 0.8
Hot Shut Down, Corroded, Weight &Eccentric Moments Only 0 118 118 60 3.2 Weight 0 0
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 9.5)= 0.004675
B = 118.09 MPa
S = 118 / 1.00 = 118 MPa
ScHC = min(B, S) = 118 MPa
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 12.7)= 0.006250
B = 119.28 MPa
S = 118 / 1.00 = 118 MPa
ScHN = min(B, S) = 118 MPa
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 12.7)= 0.006250
B = 119.28 MPa
S = 118 / 1.00 = 118 MPa
ScCN = min(B, S) = 118 MPa
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 9.5)= 0.004675
B = 118.09 MPa
40/121
S = 118 / 1.00 = 118 MPa
ScCC = min(B, S) = 118 MPa
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (tableCS-2 Metric)A = 0.125 / (Ro / t)
= 0.125 / (254 / 9.5)= 0.004675
B = 118.09 MPa
S = 118 / 1.00 = 118 MPa
ScVC = min(B, S) = 118 MPa
Operating, Hot & Corroded, Wind, Top Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)= 931.63*242.9 / (2*118,000*1.20*0.85 + 0.40*|931.63|)= 0.94 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5 / (π*247.652*118,000*1.20*0.85) * 106
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -32.6 / (2*π*247.65*118,000*1.20*0.85) * 104
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0.94 + 0 - (0)= 0.94 mm
twc = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*-32.6 / (2*π*247.65*118,000*1.20*0.85) * 104
= 0 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0) - (0.94)|= 0.94 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))= 2*118,000*1.20*0.85*(9.5 - 0 + (0)) / (242.9 - 0.40*(9.5 - 0 + (0)))= 9,561.98 kPa
Operating, Hot & New, Wind, Top Seam
tp = P*R / (2*St*Ks*Ec + 0.40*|P|) (Pressure)= 931.63*241.3 / (2*118,000*1.20*0.85 + 0.40*|931.63|)= 0.93 mm
tm = M / (π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 5 / (π*247.652*118,000*1.20*0.85) * 106
= 0 mm
41/121
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -43.6 / (2*π*247.65*118,000*1.20*0.85) * 104
= 0 mm
tt = tp + tm - tw (total required, tensile)= 0.93 + 0 - (0)= 0.93 mm
twc = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*-43.6 / (2*π*247.65*118,000*1.20*0.85) * 104
= 0 mm
tc = |tmc + twc - tpc| (total, net tensile)= |0 + (0) - (0.93)|= 0.93 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0.40*(t - tm + tw))= 2*118,000*1.20*0.85*(12.7 - 0 + (0)) / (241.3 - 0.40*(12.7 - 0 + (0)))= 12,939.34 kPa
Hot Shut Down, Corroded, Wind, Top Seam
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 5 / (π*247.652*118,000*1.20*0.85) * 106
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -32.6 / (2*π*247.65*118,000*1.20*0.85) * 104
= 0 mm
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)= 0 mm
twc = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*-32.6 / (2*π*247.65*118,000*1.20*0.85) * 104
= 0 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0)|= 0 mm
Hot Shut Down, New, Wind, Top Seam
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 5 / (π*247.652*118,000*1.20*0.85) * 106
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
42/121
= -43.6 / (2*π*247.65*118,000*1.20*0.85) * 104
= 0 mm
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)= 0 mm
twc = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*-43.6 / (2*π*247.65*118,000*1.20*0.85) * 104
= 0 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0)|= 0 mm
Empty, Corroded, Wind, Top Seam
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 5 / (π*247.652*118,000*1.20*0.85) * 106
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -32.6 / (2*π*247.65*118,000*1.20*0.85) * 104
= 0 mm
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)= 0 mm
twc = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*-32.6 / (2*π*247.65*118,000*1.20*0.85) * 104
= 0 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0)|= 0 mm
Empty, New, Wind, Top Seam
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 5 / (π*247.652*118,000*1.20*0.85) * 106
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -43.6 / (2*π*247.65*118,000*1.20*0.85) * 104
= 0 mm
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)
43/121
= 0 mm
twc = 0.6*W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= 0.60*-43.6 / (2*π*247.65*118,000*1.20*0.85) * 104
= 0 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0)|= 0 mm
Vacuum, Wind, Top Seam
tp = P*R / (2*Sc*Ks + 0.40*|P|) (Pressure)= -931.63*242.9 / (2*118,000*1.20 + 0.40*|931.63|)= -0.8 mm
tm = M / (π*Rm2*Sc*Ks) * MetricFactor (bending)
= 5 / (π*247.652*118,000*1.20) * 106
= 0 mm
tw = W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= -32.6 / (2*π*247.65*118,000*1.20) * 104
= 0 mm
tt = |tp + tm - tw| (total, net compressive)= |-0.8 + 0 - (0)|= 0.8 mm
twc = 0.6*W / (2*π*Rm*Sc*Ks) * MetricFactor (Weight)= 0.60*-32.6 / (2*π*247.65*118,000*1.20) * 104
= 0 mm
tc = tmc + twc - tpc (total required, compressive)= 0 + (0) - (-0.8)= 0.8 mm
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0.40*(t - tmc - twc))= 2*118,000*1.20*(9.5 - 0 - 0) / (242.9 - 0.40*(9.5 - 0 - 0))= 11,252.53 kPa
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Top Seam
tp = 0 mm (Pressure)tm = M / (π*Rm
2*St*Ks*Ec) * MetricFactor (bending)= 0 / (π*247.652*118,000*1.00*0.85) * 106
= 0 mm
tw = W / (2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)= -32.6 / (2*π*247.65*118,000*1.00*0.85) * 104
= 0 mm
tt = tp + tm - tw(total required,tensile)
44/121
= 0 + 0 - (0)= 0 mm
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0)|= 0 mm
45/121
B16.9 Pipe Cap #2
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Component: ASME B16.9 Pipe Cap (modified)NPS and Schedule: NPS 20 Sch 30 (XS) DN 500Material Specification: SA-234 WPB (II-D Metric p.10, ln. 42)Straight Flange governs MDMT
Internal design pressure: P = 931.63 kPa @ 60 °CExternal design pressure: Pe = 931.63 kPa @ 140 °C
Static liquid head:
Ps= 0 kPa (SG=1, Hs=0 mm Operating head)Pth= 4.73 kPa (SG=1, Hs=482.6 mm Horizontal test head)
Corrosion allowance: Inner C = 1.6 mm Outer C = 1.6 mm
Design MDMT = 0°C No impact test performedRated MDMT = -105°C Material is not normalized
Material is not produced to fine grain practicePWHT is not performedDo not Optimize MDMT / Find MAWP
Radiography: Category A joints - Seamless No RT Head to shell seam - Spot UW-11(b) Type 1
Estimated weight*: new = 43.4 kg corr = 32.5 kgCapacity*: new = 32.5 liters corr = 33.1 liters* includes straight flange
Inner diameter = 482.6 mmNominal head thickness = 12.7 mmMinimum head thickness = 11.11 mmOverall length E = 229 mmStraight flange length Lsf = 97.24 mmNominal straight flange thickness tsf = 12.7 mmResults Summary
The governing condition is external pressure.Minimum thickness per UG-16 = 1.5 mm + 3.2 mm = 4.7 mmDesign thickness due to internal pressure (t) = 5.44 mmDesign thickness due to external pressure (te) = 7.72 mmGoverning straight flange design thickness = 8.37 mmMaximum allowable working pressure (MAWP) = 3,284.99 kPaMaximum allowable pressure (MAP) = 4,597.9 kPaMaximum allowable external pressure (MAEP) = 1,893.88 kPa
K (Corroded)
K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (485.8 / (2*122.25))2]=0.991302
46/121
K (New)
K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (482.6 / (2*120.65))2]=1
Design thickness for internal pressure, (Corroded at 60 °C) Appendix 1-4(c)
t = P*D*K / (2*S*E - 0.2*P) + Corrosion= 931.63*485.8*0.991302 / (2*118,000*0.85 - 0.2*931.63) + 3.2= 5.44 mm
The head internal pressure design thickness is 5.44 mm.
Maximum allowable working pressure, (Corroded at 60 °C) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*118,000*0.85*(0.875*12.7 - 3.2) / (0.991302*485.8 +0.2*(0.875*12.7 - 3.2)) - 0= 3,284.99 kPa
The maximum allowable working pressure (MAWP) is 3,284.99 kPa.
Maximum allowable pressure, (New at 45 °C) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0.2*t) - Ps= 2*118,000*0.85*0.875*12.7 / (1*482.6 +0.2*0.875*12.7) - 0= 4,597.9 kPa
The maximum allowable pressure (MAP) is 4,597.9 kPa.
Design thickness for external pressure, (Corroded at 140 °C) UG-33(d)
Equivalent outside spherical radius (Ro)Ro = Ko*Do
= 0.8675*508= 440.67 mm
A = 0.125 / (Ro / t)= 0.125 / (440.67 / 4.52)= 0.001281
From Table CS-2Metric: B = 90.9019
MPa
Pa = B / (Ro / t)= 90,901.92 / (440.67 / 4.52)= 931.63 kPa
t = 4.52 mm + Corrosion = 4.52 mm + 3.2 mm = 7.72 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*931.63*485.8*0.991302 / (2*118,000*1 - 0.2*1.67*931.63) + 3.2= 6.38 mm
The head external pressure design thickness (te) is 7.72 mm.
47/121
Maximum Allowable External Pressure, (Corroded at 140 °C) UG-33(d)
Equivalent outside spherical radius (Ro)Ro = Ko*Do
= 0.8675*508= 440.67 mm
A = 0.125 / (Ro / t)= 0.125 / (440.67 / (0.875*12.7 - 3.2))= 0.002244
From Table CS-2Metric: B = 105.482
MPa
Pa = B / (Ro / t)= 105,482 / (440.67 / (0.875*12.7 - 3.2))= 1,893.8783 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*118,000*1*(0.875*12.7 - 3.2) / ((0.991302*485.8 +0.2*(0.875*12.7 - 3.2))*1.67) -0
= 2,314.19 kPa
The maximum allowable external pressure (MAEP) is 1,893.88 kPa.
48/121
Nozzle #1 (N1)
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Pad inner diameter = 50.8 mmPad thickness = 50.8 mmTapped hole diameter = 15.88 mmTapped hole depth = 28.45 mmTapped hole bolt circle = 120.65 mmRaised face height = 1.52 mmRaised face outer diameter = 91.95 mmInner fillet = 12.7 mmtw(lower) = 12.7 mmDp = 152.4 mmte = 36.58 mm
Note: round inside edges per UG-76(c)
Note: Thread engagement shall comply with the requirements of UG-43(g).
Location and OrientationLocated on: Cylinder #1Orientation: 180°Nozzle center line offset to datum line: 232 mmEnd of nozzle to shell center: 292.1 mmPasses through a Category A joint: No
NozzleAccess opening: NoMaterial 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)Corrosion allowance: 1.6 mmProjection available outside vessel, Lpr: 36.58 mmLocal vessel minimum thickness: 12.7 mmLiquid static head included: 0 kPaLongitudinal joint efficiency: 1
49/121
Reinforcement Calculations for MAWP
The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary(cm2)
For P = 5,273.18 kPa @ 60 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 7.82 50.8
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weldthroat size (mm)
Actual weldthroat size (mm) Status
Pad to shell fillet (Leg42) 6 8.89 weld size is adequate
Calculations for internal pressure 5,273.18 kPa @ 60 °C
Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1733).
Pad UCS-66 governing thickness: 12.7 mmPad rated MDMT: -105 °CParallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(54, 27 + (0) + (12.7 - 3.2))= 54 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(12.7 - 3.2), 2.5*(0) + 36.58)= 23.75 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 5,273.1779*242.9 / (138,000*1 - 0.6*5,273.1779)= 9.5 mm
50/121
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)= 5,273.1779*242.9 / (138,000*0.85 - 0.6*5,273.1779)= 11.22 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: tmin = lesser of 19 mm or te or t = 9.5 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mmtc(actual) = 0.7*Leg = 0.7*12.7 = 8.89 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).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 5,273.1779*27 / (138,000*1 - 0.6*5,273.1779) + 1.6= 2.66 mm
ta = max[ ta UG-27 , ta UG-22 ]= max[ 2.66 , 0 ]= 2.66 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 5,273.1779*242.9 / (138,000*1 - 0.6*5,273.1779) + 3.2= 12.7 mm
tb1 = max[ tb1 , tb UG16 ]= max[ 12.7 , 3.1 ]= 12.7 mm
tb = min[ tb3 , tb1 ]= min[ 7.82 , 12.7 ]= 7.82 mm
tUG-45 = max[ ta , tb ]= max[ 2.66 , 7.82 ]= 7.82 mm
Available nozzle wall thickness new, tn = 50.8 mm
The nozzle neck thickness is adequate.
51/121
Reinforcement Calculations for MAP
The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary(cm2)
For P = 7,040.69 kPa @ 45 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 6.22 50.8
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weldthroat size (mm)
Actual weldthroat size (mm) Status
Pad to shell fillet (Leg42) 6 8.89 weld size is adequate
Calculations for internal pressure 7,040.69 kPa @ 45 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(50.8, 25.4 + (0) + (12.7 - 0))= 50.8 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(12.7 - 0), 2.5*(0) + 36.58)= 31.75 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 7,040.6858*241.3 / (138,000*1 - 0.6*7,040.6858)= 12.7 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)= 7,040.6858*241.3 / (138,000*0.85 - 0.6*7,040.6858)= 15.02 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
52/121
UW-16(c) Weld Check
Fillet weld: tmin = lesser of 19 mm or te or t = 12.7 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mmtc(actual) = 0.7*Leg = 0.7*12.7 = 8.89 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).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 7,040.6858*25.4 / (138,000*1 - 0.6*7,040.6858) + 0= 1.34 mm
ta = max[ ta UG-27 , ta UG-22 ]= max[ 1.34 , 0 ]= 1.34 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 7,040.6858*241.3 / (138,000*1 - 0.6*7,040.6858) + 0= 12.7 mm
tb1 = max[ tb1 , tb UG16 ]= max[ 12.7 , 1.5 ]= 12.7 mm
tb = min[ tb3 , tb1 ]= min[ 6.22 , 12.7 ]= 6.22 mm
tUG-45 = max[ ta , tb ]= max[ 1.34 , 6.22 ]= 6.22 mm
Available nozzle wall thickness new, tn = 50.8 mm
The nozzle neck thickness is adequate.
53/121
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary(cm2)
For Pe = 2,467.43 kPa @ 60 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 7.59 50.8
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required forexternal pressure
UW-16 Weld Sizing Summary
Weld description Required weldthroat size (mm)
Actual weldthroat size (mm) Status
Pad to shell fillet (Leg42) 6 8.89 weld size is adequate
Calculations for external pressure 2,467.43 kPa @ 60 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(54, 27 + (0) + (12.7 - 3.2))= 54 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(12.7 - 3.2), 2.5*(0) + 36.58)= 23.75 mm
From UG-37(d)(1) required thickness tr = 9.5 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: tmin = lesser of 19 mm or te or t = 9.5 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mmtc(actual) = 0.7*Leg = 0.7*12.7 = 8.89 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).
54/121
UG-45 Nozzle Neck Thickness Check
ta UG-28 = 3.95 mm
ta = max[ ta UG-28 , ta UG-22 ]= max[ 3.95 , 0 ]= 3.95 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion= 2,467.4304*242.9 / (138,000*1 - 0.6*2,467.4304) + 3.2= 7.59 mm
tb2 = max[ tb2 , tb UG16 ]= max[ 7.59 , 3.1 ]= 7.59 mm
tb = min[ tb3 , tb2 ]= min[ 7.82 , 7.59 ]= 7.59 mm
tUG-45 = max[ ta , tb ]= max[ 3.95 , 7.59 ]= 7.59 mm
Available nozzle wall thickness new, tn = 50.8 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 60 °C) UG-28(c)
L / Do = 49.8 / 152.4 = 0.3268Do / t = 152.4 / 2.35 = 64.7355From table G: A = 0.009534From table CS-2Metric: B = 119.798 MPa
Pa = 4*B / (3*(Do / t))= 4*119,798.02 / (3*(152.4 / 2.35))= 2,467.44 kPa
Design thickness for external pressure Pa = 2,467.44 kPa
ta = t + Corrosion = 2.35 + 1.6 = 3.95mm
55/121
Nozzle #2 (N2)
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
Pad inner diameter = 50.8 mmPad thickness = 50.8 mmTapped hole diameter = 15.88 mmTapped hole depth = 28.45 mmTapped hole bolt circle = 120.65 mmRaised face height = 1.52 mmRaised face outer diameter = 91.95 mmInner fillet = 12.7 mmtw(lower) = 12.7 mmDp = 152.4 mmte = 36.58 mm
Note: round inside edges per UG-76(c)
Note: Thread engagement shall comply with the requirements of UG-43(g).
Location and OrientationLocated on: Cylinder #1Orientation: 180°Nozzle center line offset to datum line: 600 mmEnd of nozzle to shell center: 292.1 mmPasses through a Category A joint: No
NozzleAccess opening: NoMaterial 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)Corrosion allowance: 1.6 mmProjection available outside vessel, Lpr: 36.58 mmLocal vessel minimum thickness: 12.7 mmLiquid static head included: 0 kPaLongitudinal joint efficiency: 1
56/121
Reinforcement Calculations for MAWP
The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary(cm2)
For P = 5,273.18 kPa @ 60 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 7.82 50.8
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weldthroat size (mm)
Actual weldthroat size (mm) Status
Pad to shell fillet (Leg42) 6 8.89 weld size is adequate
Calculations for internal pressure 5,273.18 kPa @ 60 °C
Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1733).
Pad UCS-66 governing thickness: 12.7 mmPad rated MDMT: -105 °CParallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(54, 27 + (0) + (12.7 - 3.2))= 54 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(12.7 - 3.2), 2.5*(0) + 36.58)= 23.75 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 5,273.1779*242.9 / (138,000*1 - 0.6*5,273.1779)= 9.5 mm
57/121
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)= 5,273.1779*242.9 / (138,000*0.85 - 0.6*5,273.1779)= 11.22 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: tmin = lesser of 19 mm or te or t = 9.5 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mmtc(actual) = 0.7*Leg = 0.7*12.7 = 8.89 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).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 5,273.1779*27 / (138,000*1 - 0.6*5,273.1779) + 1.6= 2.66 mm
ta = max[ ta UG-27 , ta UG-22 ]= max[ 2.66 , 0 ]= 2.66 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 5,273.1779*242.9 / (138,000*1 - 0.6*5,273.1779) + 3.2= 12.7 mm
tb1 = max[ tb1 , tb UG16 ]= max[ 12.7 , 3.1 ]= 12.7 mm
tb = min[ tb3 , tb1 ]= min[ 7.82 , 12.7 ]= 7.82 mm
tUG-45 = max[ ta , tb ]= max[ 2.66 , 7.82 ]= 7.82 mm
Available nozzle wall thickness new, tn = 50.8 mm
The nozzle neck thickness is adequate.
58/121
Reinforcement Calculations for MAP
The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary(cm2)
For P = 7,040.69 kPa @ 45 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 6.22 50.8
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weldthroat size (mm)
Actual weldthroat size (mm) Status
Pad to shell fillet (Leg42) 6 8.89 weld size is adequate
Calculations for internal pressure 7,040.69 kPa @ 45 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(50.8, 25.4 + (0) + (12.7 - 0))= 50.8 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(12.7 - 0), 2.5*(0) + 36.58)= 31.75 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 7,040.6858*241.3 / (138,000*1 - 0.6*7,040.6858)= 12.7 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)= 7,040.6858*241.3 / (138,000*0.85 - 0.6*7,040.6858)= 15.02 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
59/121
UW-16(c) Weld Check
Fillet weld: tmin = lesser of 19 mm or te or t = 12.7 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mmtc(actual) = 0.7*Leg = 0.7*12.7 = 8.89 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).
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 7,040.6858*25.4 / (138,000*1 - 0.6*7,040.6858) + 0= 1.34 mm
ta = max[ ta UG-27 , ta UG-22 ]= max[ 1.34 , 0 ]= 1.34 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 7,040.6858*241.3 / (138,000*1 - 0.6*7,040.6858) + 0= 12.7 mm
tb1 = max[ tb1 , tb UG16 ]= max[ 12.7 , 1.5 ]= 12.7 mm
tb = min[ tb3 , tb1 ]= min[ 6.22 , 12.7 ]= 6.22 mm
tUG-45 = max[ ta , tb ]= max[ 1.34 , 6.22 ]= 6.22 mm
Available nozzle wall thickness new, tn = 50.8 mm
The nozzle neck thickness is adequate.
60/121
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary(cm2)
For Pe = 2,467.43 kPa @ 60 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 7.59 50.8
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required forexternal pressure
UW-16 Weld Sizing Summary
Weld description Required weldthroat size (mm)
Actual weldthroat size (mm) Status
Pad to shell fillet (Leg42) 6 8.89 weld size is adequate
Calculations for external pressure 2,467.43 kPa @ 60 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(54, 27 + (0) + (12.7 - 3.2))= 54 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(12.7 - 3.2), 2.5*(0) + 36.58)= 23.75 mm
From UG-37(d)(1) required thickness tr = 9.5 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c) Weld Check
Fillet weld: tmin = lesser of 19 mm or te or t = 9.5 mmtc(min) = lesser of 6 mm or 0.7*tmin = 6 mmtc(actual) = 0.7*Leg = 0.7*12.7 = 8.89 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).
61/121
UG-45 Nozzle Neck Thickness Check
ta UG-28 = 3.95 mm
ta = max[ ta UG-28 , ta UG-22 ]= max[ 3.95 , 0 ]= 3.95 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion= 2,467.4304*242.9 / (138,000*1 - 0.6*2,467.4304) + 3.2= 7.59 mm
tb2 = max[ tb2 , tb UG16 ]= max[ 7.59 , 3.1 ]= 7.59 mm
tb = min[ tb3 , tb2 ]= min[ 7.82 , 7.59 ]= 7.59 mm
tUG-45 = max[ ta , tb ]= max[ 3.95 , 7.59 ]= 7.59 mm
Available nozzle wall thickness new, tn = 50.8 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 60 °C) UG-28(c)
L / Do = 49.8 / 152.4 = 0.3268Do / t = 152.4 / 2.35 = 64.7355From table G: A = 0.009534From table CS-2Metric: B = 119.798 MPa
Pa = 4*B / (3*(Do / t))= 4*119,798.02 / (3*(152.4 / 2.35))= 2,467.44 kPa
Design thickness for external pressure Pa = 2,467.44 kPa
ta = t + Corrosion = 2.35 + 1.6 = 3.95mm
62/121
Nozzle #3 (N3)
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
tw(lower) = 4 mmLeg41 = 3 mm
Note: round inside edges per UG-76(c)
Location and OrientationLocated on: Cylinder #1Orientation: 270°Nozzle center line offset to datum line: 232 mmEnd of nozzle to shell center: 292.7 mmPasses through a Category A joint: No
NozzleAccess opening: NoMaterial specification: SA-516 60 (II-D Metric p. 10, ln. 27)Inside diameter, new: 19.46 mmNominal wall thickness: 4.56 mmCorrosion allowance: 1.6 mmProjection available outside vessel, Lpr: 38.7 mmLocal vessel minimum thickness: 12.7 mmLiquid static head included: 0 kPaLongitudinal joint efficiency: 1
63/121
Reinforcement Calculations for MAWP
The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary(cm2)
For P = 5,273.18 kPa @ 60 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 4.56 4.56
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to shell fillet (Leg41) 2.07 2.1 weld size is adequate
Nozzle to shell groove (Lower) 2.07 2.4 weld size is adequate
Calculations for internal pressure 5,273.18 kPa @ 60 °C
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0304).
Nozzle UCS-66 governing thk: 4.56 mmNozzle rated MDMT: -105 °CParallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(22.66, 11.33 + (4.56 - 1.6) + (12.7 - 3.2))= 23.79 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(12.7 - 3.2), 2.5*(4.56 - 1.6) + 0)= 7.39 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)= 5,273.1779*11.33 / (118,000*1 - 0.6*5,273.1779)= 0.52 mm
64/121
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 5,273.1779*242.9 / (138,000*1 - 0.6*5,273.1779)= 9.5 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)= 5,273.1779*242.9 / (138,000*0.85 - 0.6*5,273.1779)= 11.22 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 = 2.96 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 2.07 mmt1(actual) = 0.7*Leg = 0.7*3 = 2.1 mmThe weld size t1 is satisfactory.t2(actual) = 2.4 mmThe weld size t2 is satisfactory.
t1 + t2 = 4.5 >= 1.25*tmin
The combined weld sizes for t1 and t2 are satisfactory.
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 5,273.1779*11.33 / (118,000*1 - 0.6*5,273.1779) + 1.6= 2.12 mm
ta = max[ ta UG-27 , ta UG-22 ]= max[ 2.12 , 0 ]= 2.12 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 5,273.1779*242.9 / (138,000*1 - 0.6*5,273.1779) + 3.2= 12.7 mm
tb1 = max[ tb1 , tb UG16 ]= max[ 12.7 , 3.1 ]= 12.7 mm
tb = min[ tb3 , tb1 ]= min[ 4.56 , 12.7 ]= 4.56 mm
tUG-45 = max[ ta , tb ]
65/121
= max[ 2.12 , 4.56 ]= 4.56 mm
Available nozzle wall thickness new, tn = 4.56 mm
The nozzle neck thickness is adequate.
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)= (50*4.56 / 12.01)*(1 - 12.01 / ∞)= 18.9679%
The extreme fiber elongation exceeds 5 percent. Heat treatment per UCS-56 may be required. See UCS-79(d)(4) or(5).
66/121
Reinforcement Calculations for MAP
The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary(cm2)
For P = 7,040.69 kPa @ 45 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 2.96 4.56
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to shell fillet (Leg41) 3.19 2.1 weld size is NOT adequate
Nozzle to shell groove (Lower) 3.19 4 weld size is adequate
Calculations for internal pressure 7,040.69 kPa @ 45 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(19.46, 9.73 + (4.56 - 0) + (12.7 - 0))= 26.99 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(12.7 - 0), 2.5*(4.56 - 0) + 0)= 11.39 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)= 7,040.6858*9.73 / (118,000*1 - 0.6*7,040.6858)= 0.6 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 7,040.6858*241.3 / (138,000*1 - 0.6*7,040.6858)= 12.7 mm
67/121
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)= 7,040.6858*241.3 / (138,000*0.85 - 0.6*7,040.6858)= 15.02 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 = 4.56 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 3.19 mmt1(actual) = 0.7*Leg = 0.7*3 = 2.1 mm
** The weld size t1 is NOT satisfactory. **
t2(actual) = 4 mmThe weld size t2 is satisfactory.
t1 + t2 = 6.1 >= 1.25*tmin
** The weld size tc is NOT satisfactory. **
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 7,040.6858*9.73 / (118,000*1 - 0.6*7,040.6858) + 0= 0.6 mm
ta = max[ ta UG-27 , ta UG-22 ]= max[ 0.6 , 0 ]= 0.6 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 7,040.6858*241.3 / (138,000*1 - 0.6*7,040.6858) + 0= 12.7 mm
tb1 = max[ tb1 , tb UG16 ]= max[ 12.7 , 1.5 ]= 12.7 mm
tb = min[ tb3 , tb1 ]= min[ 2.96 , 12.7 ]= 2.96 mm
tUG-45 = max[ ta , tb ]= max[ 0.6 , 2.96 ]= 2.96 mm
68/121
Available nozzle wall thickness new, tn = 4.56 mm
The nozzle neck thickness is adequate.
69/121
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary(cm2)
For Pe = 2,467.43 kPa @ 60 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 4.56 4.56
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required forexternal pressure
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to shell fillet (Leg41) 2.07 2.1 weld size is adequate
Nozzle to shell groove (Lower) 2.07 2.4 weld size is adequate
Calculations for external pressure 2,467.43 kPa @ 60 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(22.66, 11.33 + (4.56 - 1.6) + (12.7 - 3.2))= 23.79 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(12.7 - 3.2), 2.5*(4.56 - 1.6) + 0)= 7.39 mm
Nozzle required thickness per UG-28 trn = 0.5 mm
From UG-37(d)(1) required thickness tr = 9.5 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 = 2.96 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 2.07 mmt1(actual) = 0.7*Leg = 0.7*3 = 2.1 mm
70/121
The weld size t1 is satisfactory.t2(actual) = 2.4 mmThe weld size t2 is satisfactory.
t1 + t2 = 4.5 >= 1.25*tmin
The combined weld sizes for t1 and t2 are satisfactory.
UG-45 Nozzle Neck Thickness Check
ta UG-28 = 2.1 mm
ta = max[ ta UG-28 , ta UG-22 ]= max[ 2.1 , 0 ]= 2.1 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion= 2,467.4304*242.9 / (138,000*1 - 0.6*2,467.4304) + 3.2= 7.59 mm
tb2 = max[ tb2 , tb UG16 ]= max[ 7.59 , 3.1 ]= 7.59 mm
tb = min[ tb3 , tb2 ]= min[ 4.56 , 7.59 ]= 4.56 mm
tUG-45 = max[ ta , tb ]= max[ 2.1 , 4.56 ]= 4.56 mm
Available nozzle wall thickness new, tn = 4.56 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 60 °C) UG-28(c)
L / Do = 39.1 / 28.58 = 1.3684Do / t = 28.58 / 0.5 = 57.1128From table G: A = 0.002266From table CS-2Metric: B = 105.6884 MPa
Pa = 4*B / (3*(Do / t))= 4*105,688.43 / (3*(28.58 / 0.5))= 2,467.36 kPa
Design thickness for external pressure Pa = 2,467.36 kPa
ta = t + Corrosion = 0.5 + 1.6 = 2.1mm
71/121
Nozzle #4 (N4)
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
tw(lower) = 5 mmLeg41 = 5 mm
Note: round inside edges per UG-76(c)
Location and OrientationLocated on: Cylinder #1Orientation: 270°Nozzle center line offset to datum line: 650 mmEnd of nozzle to shell center: 292.7 mmPasses through a Category A joint: No
NozzleAccess opening: NoMaterial specification: SA-516 60 (II-D Metric p. 10, ln. 27)Inside diameter, new: 26.67 mmNominal wall thickness: 4.13 mmCorrosion allowance: 0 mmProjection available outside vessel, Lpr: 38.7 mmLocal vessel minimum thickness: 12.7 mmLiquid static head included: 0 kPaLongitudinal joint efficiency: 1
72/121
Reinforcement Calculations for MAWP
The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary(cm2)
For P = 5,273.18 kPa @ 60 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.11 4.13
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to shell fillet (Leg41) 2.89 3.5 weld size is adequate
Nozzle to shell groove (Lower) 2.89 3.4 weld size is adequate
Calculations for internal pressure 5,273.18 kPa @ 60 °C
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0256).
Nozzle UCS-66 governing thk: 4.13 mmNozzle rated MDMT: -105 °CParallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(26.67, 13.34 + (4.13 - 0) + (12.7 - 3.2))= 26.96 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(12.7 - 3.2), 2.5*(4.13 - 0) + 0)= 10.32 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)= 5,273.1779*13.34 / (118,000*1 - 0.6*5,273.1779)= 0.61 mm
73/121
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 5,273.1779*242.9 / (138,000*1 - 0.6*5,273.1779)= 9.5 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)= 5,273.1779*242.9 / (138,000*0.85 - 0.6*5,273.1779)= 11.22 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 = 4.13 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 2.89 mmt1(actual) = 0.7*Leg = 0.7*5 = 3.5 mmThe weld size t1 is satisfactory.t2(actual) = 3.4 mmThe weld size t2 is satisfactory.
t1 + t2 = 6.9 >= 1.25*tmin
The combined weld sizes for t1 and t2 are satisfactory.
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 5,273.1779*13.34 / (118,000*1 - 0.6*5,273.1779) + 0= 0.61 mm
ta = max[ ta UG-27 , ta UG-22 ]= max[ 0.61 , 0 ]= 0.61 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 5,273.1779*242.9 / (138,000*1 - 0.6*5,273.1779) + 3.2= 12.7 mm
tb1 = max[ tb1 , tb UG16 ]= max[ 12.7 , 1.5 ]= 12.7 mm
tb = min[ tb3 , tb1 ]= min[ 3.11 , 12.7 ]= 3.11 mm
tUG-45 = max[ ta , tb ]
74/121
= max[ 0.61 , 3.11 ]= 3.11 mm
Available nozzle wall thickness new, tn = 4.13 mm
The nozzle neck thickness is adequate.
% Extreme fiber elongation - UCS-79(d)
EFE = (50*t / Rf)*(1 - Rf / Ro)= (50*4.13 / 15.4)*(1 - 15.4 / ∞)= 13.4021%
The extreme fiber elongation exceeds 5 percent. Heat treatment per UCS-56 may be required. See UCS-79(d)(4) or(5).
75/121
Reinforcement Calculations for MAP
The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary(cm2)
For P = 7,040.69 kPa @ 45 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.11 4.13
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to shell fillet (Leg41) 2.89 3.5 weld size is adequate
Nozzle to shell groove (Lower) 2.89 5 weld size is adequate
Calculations for internal pressure 7,040.69 kPa @ 45 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(26.67, 13.34 + (4.13 - 0) + (12.7 - 0))= 30.16 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(12.7 - 0), 2.5*(4.13 - 0) + 0)= 10.32 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)= 7,040.6858*13.34 / (118,000*1 - 0.6*7,040.6858)= 0.83 mm
Required thickness tr from UG-37(a)
tr = P*R / (S*E - 0.6*P)= 7,040.6858*241.3 / (138,000*1 - 0.6*7,040.6858)= 12.7 mm
76/121
Required thickness tr per Interpretation VIII-1-07-50
tr = P*R / (S*E - 0.6*P)= 7,040.6858*241.3 / (138,000*0.85 - 0.6*7,040.6858)= 15.02 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 = 4.13 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 2.89 mmt1(actual) = 0.7*Leg = 0.7*5 = 3.5 mmThe weld size t1 is satisfactory.t2(actual) = 5 mmThe weld size t2 is satisfactory.
t1 + t2 = 8.5 >= 1.25*tmin
The combined weld sizes for t1 and t2 are satisfactory.
UG-45 Nozzle Neck Thickness Check
ta UG-27 = P*R / (S*E - 0.6*P) + Corrosion= 7,040.6858*13.34 / (118,000*1 - 0.6*7,040.6858) + 0= 0.83 mm
ta = max[ ta UG-27 , ta UG-22 ]= max[ 0.83 , 0 ]= 0.83 mm
tb1 = P*R / (S*E - 0.6*P) + Corrosion= 7,040.6858*241.3 / (138,000*1 - 0.6*7,040.6858) + 0= 12.7 mm
tb1 = max[ tb1 , tb UG16 ]= max[ 12.7 , 1.5 ]= 12.7 mm
tb = min[ tb3 , tb1 ]= min[ 3.11 , 12.7 ]= 3.11 mm
tUG-45 = max[ ta , tb ]= max[ 0.83 , 3.11 ]= 3.11 mm
Available nozzle wall thickness new, tn = 4.13 mm
77/121
The nozzle neck thickness is adequate.
78/121
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary(cm2)
For Pe = 2,467.43 kPa @ 60 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.11 4.13
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required forexternal pressure
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to shell fillet (Leg41) 2.89 3.5 weld size is adequate
Nozzle to shell groove (Lower) 2.89 3.4 weld size is adequate
Calculations for external pressure 2,467.43 kPa @ 60 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(26.67, 13.34 + (4.13 - 0) + (12.7 - 3.2))= 26.96 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(12.7 - 3.2), 2.5*(4.13 - 0) + 0)= 10.32 mm
Nozzle required thickness per UG-28 trn = 0.59 mm
From UG-37(d)(1) required thickness tr = 9.5 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 = 4.13 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 2.89 mmt1(actual) = 0.7*Leg = 0.7*5 = 3.5 mm
79/121
The weld size t1 is satisfactory.t2(actual) = 3.4 mmThe weld size t2 is satisfactory.
t1 + t2 = 6.9 >= 1.25*tmin
The combined weld sizes for t1 and t2 are satisfactory.
UG-45 Nozzle Neck Thickness Check
ta UG-28 = 0.59 mm
ta = max[ ta UG-28 , ta UG-22 ]= max[ 0.59 , 0 ]= 0.59 mm
tb2 = P*R / (S*E - 0.6*P) + Corrosion= 2,467.4304*242.9 / (138,000*1 - 0.6*2,467.4304) + 3.2= 7.59 mm
tb2 = max[ tb2 , tb UG16 ]= max[ 7.59 , 1.5 ]= 7.59 mm
tb = min[ tb3 , tb2 ]= min[ 3.11 , 7.59 ]= 3.11 mm
tUG-45 = max[ ta , tb ]= max[ 0.59 , 3.11 ]= 3.11 mm
Available nozzle wall thickness new, tn = 4.13 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 60 °C) UG-28(c)
L / Do = 39.3 / 34.92 = 1.1253Do / t = 34.92 / 0.59 = 58.9737From table G: A = 0.002646From table CS-2Metric: B = 109.136 MPa
Pa = 4*B / (3*(Do / t))= 4*109,136 / (3*(34.92 / 0.59))= 2,467.45 kPa
Design thickness for external pressure Pa = 2,467.45 kPa
ta = t + Corrosion = 0.59 + 0 = 0.59mm
80/121
Nozzle #5 (N5)
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
tw(lower) = 5 mmLeg41 = 5 mm
Note: Per UW-16(b) minimum inside corner radius r1 = min [1 / 4*t , 3 mm] = 1.98 mm
Location and OrientationLocated on: B16.9 Pipe Cap #2Orientation: 0°End of nozzle to datum line: -254.39 mmCalculated as hillside: NoDistance to head center, R: 0 mmPasses through a Category A joint: No
NozzleAccess opening: NoMaterial specification: SA-105 (II-D Metric p. 18, ln. 5)Description: NPS 0.75 Class 3000 DN 20 - threadedInside diameter, new: 26.67 mmWall thickness, tn: 4.13 mmMinimum wall thickness: 4.13 mmCorrosion allowance: 0 mmProjection available outside vessel, Lpr: 25.7 mmHeavy barrel length, Lhb: 5 mmLocal vessel minimum thickness: 11.11 mmLiquid static head included: 0 kPaLongitudinal joint efficiency: 1
81/121
Reinforcement Calculations for MAWP
The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary(cm2)
For P = 4,283.21 kPa @ 60 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.11 4.13
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to shell fillet (Leg41) 2.89 3.5 weld size is adequate
Nozzle to shell groove (Lower) 2.89 3.4 weld size is adequate
Calculations for internal pressure 4,283.21 kPa @ 60 °C
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0219).
Nozzle UCS-66 governing thk: 4.13 mmNozzle rated MDMT: -105 °CParallel Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-2)
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(26.67, 13.34 + (4.13 - 0) + (11.11 - 3.2))= 26.67 mm
Outer Normal Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-2)
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(11.11 - 3.2), 2.5*(4.13 - 0) + 0)= 10.32 mm
te = MIN( 5 + 0*tan(30) , 0*tan(60) )= 0 mm
82/121
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)= 4,283.2074*13.34 / (138,000*1 - 0.6*4,283.2074)= 0.42 mm
Required thickness tr from UG-37(a)(c)
tr = P*K1*D / (2*S*E - 0.2*P)= 4,283.2074*0.8941*485.8 / (2*118,000*1 - 0.2*4,283.2074)= 7.91 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*D*K / (2*S*E - 0.2*P)= 4,283.21*485.8*0.991302 / (2*118,000*0.85 - 0.2*4,283.21)= 10.33 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 = 4.13 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 2.89 mmt1(actual) = 0.7*Leg = 0.7*5 = 3.5 mmThe weld size t1 is satisfactory.t2(actual) = 3.4 mmThe weld size t2 is satisfactory.
t1 + t2 = 6.9 >= 1.25*tmin
The combined weld sizes for t1 and t2 are satisfactory.
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= 4,283.2074*13.34 / (138,000*1 - 0.6*4,283.2074) + 0= 0.42 mm
ta = max[ ta UG-27 , ta UG-22 ]= max[ 0.42 , 0 ]= 0.42 mm
tb1 = 11.97 mm
tb1 = max[ tb1 , tb UG16 ]= max[ 11.97 , 1.5 ]
83/121
= 11.97 mm
tb = min[ tb3 , tb1 ]= min[ 3.11 , 11.97 ]= 3.11 mm
tUG-45 = max[ ta , tb ]= max[ 0.42 , 3.11 ]= 3.11 mm
Available nozzle wall thickness new, tn = 4.13 mm
The nozzle neck thickness is adequate.
84/121
Reinforcement Calculations for MAP
The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary(cm2)
For P = 6,007.19 kPa @ 45 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.11 4.13
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to shell fillet (Leg41) 2.89 3.5 weld size is adequate
Nozzle to shell groove (Lower) 2.89 5 weld size is adequate
Calculations for internal pressure 6,007.19 kPa @ 45 °C
Parallel Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-2)
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(26.67, 13.34 + (4.13 - 0) + (11.11 - 0))= 28.58 mm
Outer Normal Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-2)
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(11.11 - 0), 2.5*(4.13 - 0) + 0)= 10.32 mm
te = MIN( 5 + 0*tan(30) , 0*tan(60) )= 0 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)= 6,007.1908*13.34 / (138,000*1 - 0.6*6,007.1908)= 0.6 mm
85/121
Required thickness tr from UG-37(a)(c)
tr = P*K1*D / (2*S*E - 0.2*P)= 6,007.1908*0.9*482.6 / (2*118,000*1 - 0.2*6,007.1908)= 11.11 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*D*K / (2*S*E - 0.2*P)= 6,007.19*482.6*1 / (2*118,000*0.85 - 0.2*6,007.19)= 14.54 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 = 4.13 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 2.89 mmt1(actual) = 0.7*Leg = 0.7*5 = 3.5 mmThe weld size t1 is satisfactory.t2(actual) = 5 mmThe weld size t2 is satisfactory.
t1 + t2 = 8.5 >= 1.25*tmin
The combined weld sizes for t1 and t2 are satisfactory.
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= 6,007.1908*13.34 / (138,000*1 - 0.6*6,007.1908) + 0= 0.6 mm
ta = max[ ta UG-27 , ta UG-22 ]= max[ 0.6 , 0 ]= 0.6 mm
tb1 = 12.35 mm
tb1 = max[ tb1 , tb UG16 ]= max[ 12.35 , 1.5 ]= 12.35 mm
tb = min[ tb3 , tb1 ]= min[ 3.11 , 12.35 ]= 3.11 mm
tUG-45 = max[ ta , tb ]
86/121
= max[ 0.6 , 3.11 ]= 3.11 mm
Available nozzle wall thickness new, tn = 4.13 mm
The nozzle neck thickness is adequate.
87/121
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary(cm2)
For Pe = 1,893.88 kPa @ 140 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.11 4.13
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required forexternal pressure
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to shell fillet (Leg41) 2.89 3.5 weld size is adequate
Nozzle to shell groove (Lower) 2.89 3.4 weld size is adequate
Calculations for external pressure 1,893.88 kPa @ 140 °C
Parallel Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-2)
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(26.67, 13.34 + (4.13 - 0) + (11.11 - 3.2))= 26.67 mm
Outer Normal Limit of reinforcement per UG-40 and Fig. UG-40 sketch (e-2)
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(11.11 - 3.2), 2.5*(4.13 - 0) + 0)= 10.32 mm
te = MIN( 5 + 0*tan(30) , 0*tan(60) )= 0 mm
Nozzle required thickness per UG-28 trn = 0.45 mm
From UG-37(d)(1) required thickness tr = 7.82 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
88/121
UW-16(d) Weld Check
tmin = lesser of 19 mm or tn or t = 4.13 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 2.89 mmt1(actual) = 0.7*Leg = 0.7*5 = 3.5 mmThe weld size t1 is satisfactory.t2(actual) = 3.4 mmThe weld size t2 is satisfactory.
t1 + t2 = 6.9 >= 1.25*tmin
The combined weld sizes for t1 and t2 are satisfactory.
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ta UG-28 = 0.45 mm
ta = max[ ta UG-28 , ta UG-22 ]= max[ 0.45 , 0 ]= 0.45 mm
tb2 = 7.07 mm
tb2 = max[ tb2 , tb UG16 ]= max[ 7.07 , 1.5 ]= 7.07 mm
tb = min[ tb3 , tb2 ]= min[ 3.11 , 7.07 ]= 3.11 mm
tUG-45 = max[ ta , tb ]= max[ 0.45 , 3.11 ]= 3.11 mm
Available nozzle wall thickness new, tn = 4.13 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 140 °C) UG-28(c)
L / Do = 25.7 / 34.92 = 0.7359Do / t = 34.92 / 0.45 = 77.6718From table G: A = 0.002789From table CS-2Metric: B = 110.3241 MPa
Pa = 4*B / (3*(Do / t))= 4*110,324.15 / (3*(34.92 / 0.45))
89/121
= 1,893.85 kPa
Design thickness for external pressure Pa = 1,893.85 kPa
ta = t + Corrosion = 0.45 + 0 = 0.45mm
90/121
Nozzle #6 (N6)
ASME Section VIII Division 1, 2010 Edition, A11 Addenda Metric
tw(lower) = 5 mmLeg41 = 5 mm
Note: round inside edges per UG-76(c)
Location and OrientationLocated on: B16.9 Pipe Cap #1Orientation: 0°End of nozzle to datum line: 954.39 mmCalculated as hillside: NoDistance to head center, R: 0 mmPasses through a Category A joint: No
NozzleAccess opening: NoMaterial specification: SA-105 (II-D Metric p. 18, ln. 5)Description: NPS 0.75 Class 3000 DN 20 - threadedInside diameter, new: 26.67 mmNominal wall thickness: 4.13 mmCorrosion allowance: 0 mmProjection available outside vessel, Lpr: 25.7 mmLocal vessel minimum thickness: 11.11 mmLiquid static head included: 0 kPaLongitudinal joint efficiency: 1
91/121
Reinforcement Calculations for MAWP
The vessel wall thickness governs the MAWP of this nozzle.
UG-37 Area Calculation Summary(cm2)
For P = 4,283.21 kPa @ 60 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 1.5 4.13
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to shell fillet (Leg41) 2.89 3.5 weld size is adequate
Nozzle to shell groove (Lower) 2.89 3.4 weld size is adequate
Calculations for internal pressure 4,283.21 kPa @ 60 °C
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.0219).
Nozzle UCS-66 governing thk: 4.13 mmNozzle rated MDMT: -105 °CParallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(26.67, 13.34 + (4.13 - 0) + (11.11 - 3.2))= 26.67 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(11.11 - 3.2), 2.5*(4.13 - 0) + 0)= 10.32 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)= 4,283.2074*13.34 / (138,000*1 - 0.6*4,283.2074)= 0.42 mm
92/121
Required thickness tr from UG-37(a)(c)
tr = P*K1*D / (2*S*E - 0.2*P)= 4,283.2074*0.8941*485.8 / (2*118,000*1 - 0.2*4,283.2074)= 7.91 mm
Required thickness tr per Interpretation VIII-1-07-50
tr = P*D*K / (2*S*E - 0.2*P)= 4,283.21*485.8*0.991302 / (2*118,000*1 - 0.2*4,283.21)= 8.77 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 = 4.13 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 2.89 mmt1(actual) = 0.7*Leg = 0.7*5 = 3.5 mmThe weld size t1 is satisfactory.t2(actual) = 3.4 mmThe weld size t2 is satisfactory.
t1 + t2 = 6.9 >= 1.25*tmin
The combined weld sizes for t1 and t2 are satisfactory.
ASME B16.11 Coupling Wall Thickness Check
Interpretation VIII-1-83-66 has been applied.
Wall thickness req'd per ASME B16.11 2.1.1: tr1 = 0.54 mm (E =1)Wall thickness per UG-16(b): tr3 = 1.5 mm
Available nozzle wall thickness new, tn = 4.13 mm
The nozzle neck thickness is adequate.
93/121
Reinforcement Calculations for MAP
The vessel wall thickness governs the MAP of this nozzle.
UG-37 Area Calculation Summary(cm2)
For P = 6,007.19 kPa @ 45 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 1.5 4.13
UG-41 Weld Failure Path Analysis Summary
The nozzle is exempt from weld strength calculationsper UW-15(b)(2)
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to shell fillet (Leg41) 2.89 3.5 weld size is adequate
Nozzle to shell groove (Lower) 2.89 5 weld size is adequate
Calculations for internal pressure 6,007.19 kPa @ 45 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(26.67, 13.34 + (4.13 - 0) + (11.11 - 0))= 28.58 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(11.11 - 0), 2.5*(4.13 - 0) + 0)= 10.32 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn / (Sn*E - 0.6*P)= 6,007.1908*13.34 / (138,000*1 - 0.6*6,007.1908)= 0.6 mm
Required thickness tr from UG-37(a)(c)
tr = P*K1*D / (2*S*E - 0.2*P)= 6,007.1908*0.9*482.6 / (2*118,000*1 - 0.2*6,007.1908)= 11.11 mm
94/121
Required thickness tr per Interpretation VIII-1-07-50
tr = P*D*K / (2*S*E - 0.2*P)= 6,007.19*482.6*1 / (2*118,000*1 - 0.2*6,007.19)= 12.35 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 = 4.13 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 2.89 mmt1(actual) = 0.7*Leg = 0.7*5 = 3.5 mmThe weld size t1 is satisfactory.t2(actual) = 5 mmThe weld size t2 is satisfactory.
t1 + t2 = 8.5 >= 1.25*tmin
The combined weld sizes for t1 and t2 are satisfactory.
ASME B16.11 Coupling Wall Thickness Check
Interpretation VIII-1-83-66 has been applied.
Wall thickness req'd per ASME B16.11 2.1.1: tr1 = 0.75 mm (E =1)Wall thickness per UG-16(b): tr3 = 1.5 mm
Available nozzle wall thickness new, tn = 4.13 mm
The nozzle neck thickness is adequate.
95/121
Reinforcement Calculations for MAEP
UG-37 Area Calculation Summary(cm2)
For Pe = 1,893.88 kPa @ 140 °C
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
This nozzle is exempt from areacalculations per UG-36(c)(3)(a) 3.11 4.13
UG-41 Weld Failure Path Analysis Summary
Weld strength calculations are not required forexternal pressure
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to shell fillet (Leg41) 2.89 3.5 weld size is adequate
Nozzle to shell groove (Lower) 2.89 3.4 weld size is adequate
Calculations for external pressure 1,893.88 kPa @ 140 °C
Parallel Limit of reinforcement per UG-40
LR = MAX(d, Rn + (tn - Cn) + (t - C))= MAX(26.67, 13.34 + (4.13 - 0) + (11.11 - 3.2))= 26.67 mm
Outer Normal Limit of reinforcement per UG-40
LH = MIN(2.5*(t - C), 2.5*(tn - Cn) + te)= MIN(2.5*(11.11 - 3.2), 2.5*(4.13 - 0) + 0)= 10.32 mm
Nozzle required thickness per UG-28 trn = 0.45 mm
From UG-37(d)(1) required thickness tr = 7.82 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 = 4.13 mmt1(min) or t2(min) = lesser of 6 mm or 0.7*tmin = 2.89 mmt1(actual) = 0.7*Leg = 0.7*5 = 3.5 mm
96/121
The weld size t1 is satisfactory.t2(actual) = 3.4 mmThe weld size t2 is satisfactory.
t1 + t2 = 6.9 >= 1.25*tmin
The combined weld sizes for t1 and t2 are satisfactory.
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ta UG-28 = 0.45 mm
ta = max[ ta UG-28 , ta UG-22 ]= max[ 0.45 , 0 ]= 0.45 mm
tb2 = 7.07 mm
tb2 = max[ tb2 , tb UG16 ]= max[ 7.07 , 1.5 ]= 7.07 mm
tb = min[ tb3 , tb2 ]= min[ 3.11 , 7.07 ]= 3.11 mm
tUG-45 = max[ ta , tb ]= max[ 0.45 , 3.11 ]= 3.11 mm
Available nozzle wall thickness new, tn = 4.13 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 140 °C) UG-28(c)
L / Do = 25.7 / 34.92 = 0.7359Do / t = 34.92 / 0.45 = 77.6718From table G: A = 0.002789From table CS-2Metric: B = 110.3241 MPa
Pa = 4*B / (3*(Do / t))= 4*110,324.15 / (3*(34.92 / 0.45))= 1,893.85 kPa
97/121
Design thickness for external pressure Pa = 1,893.85 kPa
ta = t + Corrosion = 0.45 + 0 = 0.45mm
98/121
Legs #1
Leg material:
Leg description: 2x2x1/4 Equal Angle(Leg out)
Number of legs: N = 4Overall length: 150 mmBase to girth seam length: 221 mmBolt circle: 584.2 mmAnchor bolt size: 12 mmAnchor bolt material:Anchor bolts/leg: 4Anchor bolt allowable stress: Sb = 137.895 MPaAnchor bolt corrosion allowance: 0 mmAnchor bolt hole clearance: 9.53 mmBase plate width: 95 mmBase plate length: 125 mmBase plate thickness: 12 mm (1.63 mm required)Base plate allowable stress: 165.474 MPaFoundation allowable bearing stress: 11.4 MPaEffective length coefficient: K = 1.2Coefficient: Cm = 0.85Leg yield stress: Fy = 248.211 MPaLeg elastic modulus: E = 199,947.953 MPaLeg to shell fillet weld: 6.35 mm (0.38 mm required)Legs braced: No
Note: The support attachment point is assumed to be 25.4 mm up from the cylinder circumferential seam.
99/121
LoadingForceattack
angle °
Legposition °
Axialend load
N
Shearresisted
N
Axialfa
MPa
Bendingfbx
MPa
Bendingfby
MPa
RatioH1-1
RatioH1-2
Windoperatingcorroded
Moment =130.7 N-m
0
0 -13.7 67.0 -0.023 0.882 0 0.0044 0.0052
90 405.9 67.0 0.671 0.634 0.86 0.0128 0.0136
180 663.2 67.0 1.096 1.896 0 0.0181 0.0189
270 405.9 67.0 0.671 0.634 0.86 0.0128 0.0136
45
0 -13.7 67.0 -0.023 0.63 0.608 0.0063 0.0074
90 -13.7 67.0 -0.023 0.63 0.608 0.0063 0.0074
180 663.2 67.0 1.096 1.644 0.608 0.0199 0.0211
270 663.2 67.0 1.096 1.644 0.608 0.0199 0.0211
LoadingForceattack
angle °
Legposition °
Axialend load
N
Shearresisted
N
Axialfa
MPa
Bendingfbx
MPa
Bendingfby
MPa
RatioH1-1
RatioH1-2
GoverningCondition
Windoperating
new
Moment =131.4 N-m
0
0 59.5 67.0 0.098 0.953 0 0.0057 0.0065
90 530.4 67.0 0.876 0.828 0.86 0.0153 0.0162
180 789.1 67.0 1.304 2.092 0 0.0206 0.0215
270 530.4 67.0 0.876 0.828 0.86 0.0153 0.0162
45
0 59.5 67.0 0.098 0.701 0.608 0.0075 0.0087
90 59.5 67.0 0.098 0.701 0.608 0.0075 0.0087
180 789.1 67.0 1.304 1.84 0.608 0.0225 0.0237
270 789.1 67.0 1.304 1.84 0.608 0.0225 0.0237
100/121
LoadingForceattack
angle °
Legposition °
Axialend load
N
Shearresisted
N
Axialfa
MPa
Bendingfbx
MPa
Bendingfby
MPa
RatioH1-1
RatioH1-2
Windempty
corroded
Moment =130.7 N-m
0
0 -13.7 67.0 -0.023 0.882 0 0.0044 0.0052
90 405.9 67.0 0.671 0.634 0.86 0.0128 0.0136
180 663.2 67.0 1.096 1.896 0 0.0181 0.0189
270 405.9 67.0 0.671 0.634 0.86 0.0128 0.0136
45
0 -13.7 67.0 -0.023 0.63 0.608 0.0063 0.0074
90 -13.7 67.0 -0.023 0.63 0.608 0.0063 0.0074
180 663.2 67.0 1.096 1.644 0.608 0.0199 0.0211
270 663.2 67.0 1.096 1.644 0.608 0.0199 0.0211
LoadingForceattack
angle °
Legposition °
Axialend load
N
Shearresisted
N
Axialfa
MPa
Bendingfbx
MPa
Bendingfby
MPa
RatioH1-1
RatioH1-2
Windemptynew
Moment =131.4 N-m
0
0 59.5 67.0 0.098 0.953 0 0.0057 0.0065
90 530.4 67.0 0.876 0.828 0.86 0.0153 0.0162
180 789.1 67.0 1.304 2.092 0 0.0206 0.0215
270 530.4 67.0 0.876 0.828 0.86 0.0153 0.0162
45
0 59.5 67.0 0.098 0.701 0.608 0.0075 0.0087
90 59.5 67.0 0.098 0.701 0.608 0.0075 0.0087
180 789.1 67.0 1.304 1.84 0.608 0.0225 0.0237
270 789.1 67.0 1.304 1.84 0.608 0.0225 0.0237
101/121
LoadingForceattack
angle °
Legposition °
Axialend load
N
Shearresisted
N
Axialfa
MPa
Bendingfbx
MPa
Bendingfby
MPa
RatioH1-1
RatioH1-2
Windvacuum
corroded
Moment =130.7 N-m
0
0 -13.7 67.0 -0.023 0.882 0 0.0044 0.0052
90 405.9 67.0 0.671 0.634 0.86 0.0128 0.0136
180 663.2 67.0 1.096 1.896 0 0.0181 0.0189
270 405.9 67.0 0.671 0.634 0.86 0.0128 0.0136
45
0 -13.7 67.0 -0.023 0.63 0.608 0.0063 0.0074
90 -13.7 67.0 -0.023 0.63 0.608 0.0063 0.0074
180 663.2 67.0 1.096 1.644 0.608 0.0199 0.0211
270 663.2 67.0 1.096 1.644 0.608 0.0199 0.0211
Leg Calculations (AISC manual ninth edition)
Axial end load, P1 (Based on vessel total bending moment acting at leg attachment elevation)
P1 = Wt / N + 4*Mt / (N*D)= 2,121.5 / 4 + 4*1e3*131.4 / ( 4*508)= 789.09 N
Allowable axial compressive stress, Fa (AISC chapter E)
Local buckling check (AISC 5-99)
b / t = (2 / 0.25) < (76 / Sqr(36)) so Qs = 1
Flexural-torsional buckling (AISC 5-317)
Shear center distance wo = 1.6775ro
2 = wo2 + (Iz + Iw) / A
= 1.67752 + (5.99 + 22.98) / 6.0516= 7.6 cm2
Torsional constant J = 0.81 cm4
Shear modulus G = 76.98 GPa
Fej = G*J / (A*ro2)
= 76,979.962*0.81 / (6.0516*7.6011)= 1.361 GPa
K*l / rw = 1.2*123.76 / 19.49 = 7.6209
Few = π2*E / (K*l / rw)2
= π2*199.948 / (7.6209)2
= 33.979 GPa
H = 1 - (wo2 / ro
2)= 1 - (16.782 / 760.1067)= 0.6298
Fe = ((Few + Fej) / (2*H))*(1 - Sqr(1 - (4*Few*Fej*H) / (Few + Fej)2))= ((33.979 + 1.361) / (2*0.6298))*(1 - Sqr(1 - (4*33.979*1.361*0.6298) / (33.979 + 1.361)2))= 1.341 GPa
102/121
Equivalent slenderness ratio
K*l / r = π*Sqr(E / Fe)= π*Sqr(199.948 / 1.341)= 38.3638
Cc = Sqr(2*π2*E / (Fy*Qs))= Sqr(2*π2*199,948 / (248.211*1))= 126.0993
K*l / r = 1.2*123.76 / 9.95 = 14.932
Fa = 1 * (1 - (K*l / r)2 / (2*Cc2))*Fy / (5 / 3 + 3*(K*l / r) / (8*Cc)-(K*l / r)3 / (8*Cc
3))= 1 * (1 - (38.3638)2 / (2*126.09932))*248.211 / (5 / 3 + 3*(38.3638) / (8*126.0993)-(38.3638)3 / (8*126.09933))= 133.198 MPa
Allowable axial compression and bending (AISC chapter H)
Note: r is divided by 1.35 - See AISC 6.1.4, pg. 5-314
F'ex = 1*12*π2*E / (23*(K*l / r)2)
= 1*12*π2*199,948 / (23*(12.9593)2)= 6,130.64 MPa
F'ey = 1*12*π2*E / (23*(K*l / r)2)
= 1*12*π2*199,948 / (23*(12.9593)2)= 6,130.64 MPa
Fb = 1*0.66*Fy= 1*0.66*248.211= 163.819 MPa
Compressive axial stress
fa = P1 / A= 789.09 / 605.1601= 1.304 MPa
Bending stresses
fbx = F*cos(α)*L / (Ix / Cx) + P1*Ecc / (Ix / Cx)= 66.97*cos(45)*123.76 / (1e4*14.4849 / 15.04) + 789.09*15.04 / (1e4*14.4849 / 15.04)= 1.84 MPa
fby= F*sin(α)*L / (Iy / Cy)= 66.97*sin(45)*123.76 / (1e4*14.48 / 15.04)= 0.608 MPa
AISC equation H1-1
H1-1 = fa / Fa + Cmx*fbx / ((1 - fa / F'ex)*Fbx) + Cmy*fby / ((1 - fa / F'
ey)*Fby)= 1.304 / 133.198 + 0.85*1.84 / ((1 - 1.304 / 6,130.64)*163.819) + 0.85*0.608 / ((1 - 1.304 / 6,130.64)*163.819)= 0.0225
AISC equation H1-2
H1-2 = fa / (0.6*1*Fy) + fbx / Fbx + fby / Fby
103/121
= 1.304 / (0.6*1*248.211) + 1.84 / 163.819 + 0.608 / 163.819= 0.0237
4, 2x2x1/4 Equal Angle legs are adequate.
Anchor bolts - Wind operating corroded condition governs
Tensile loading per leg (4 bolts per leg)
R = 4*M / (N*BC) - 0.6*W / N= 4*189.9 / (4*0.5842) - 0.6*1,695.32 / 4= 70.74 N
Required area per bolt
Ab = R / (Sb*n)= 70.74 / (137.895*100*4)= 0.0013 cm2
Area of a 12 mm bolt (corroded) = 0.8019 cm2
12 mm bolts are satisfactory.
Check the leg to vessel fillet weld, Bednar 10.3, Wind operating new governs
Note: continuous welding is assumed for all support leg fillet welds.
Zw = (2*b*d + d2) / 3= (2*5.08*2.6238 + 2.62382) / 3= 11.1805 cm2
Jw = (b + 2*d)3 / 12 - d2*(b + d)2 / (b + 2*d)= (5.08 + 2*2.6238)3 / 12 - 2.62382*(5.08 + 2.6238)2 / (5.08 + 2*2.6238)= 52.2321 cm3
E = d2 / (b + 2*d)= 26.242 / (50.8 + 2*26.24)= 6.67 mm
Governing weld load fx = Cos(0)*66.97 = 66.97 NGoverning weld load fy = Sin(0)*66.97 = 0 N
f1 = P1 / Lweld= 789.09 / 10.3275= 76.41 N/cm (V
L direct shear)
f2= fy*Lleg*0.5*b / Jw= 0*12.3763*0.5*5.08 / 52.2321= 0 N/cm (V
L torsion shear)
f3 = fy / Lweld= 0 / 10.3275= 0 N/cm (V
c direct shear)
f4 = fy*Lleg*E / Jw= 0*12.3763*0.6666 / 52.2321= 0 N/cm (V
c torsion shear)
104/121
f5 = (fx*Lleg + P1*Ecc) / Zw= (66.97*12.3763 + 789.09*1.5037) / 11.1805= 180.26 N/cm (M
L bending)
f6 = fx / Lweld= 66.97 / 10.3275= 6.48 N/cm (Direct outward radial shear)
f = Sqr((f1 + f2)2 + (f3 + f4)2 + (f5 + f6)2)= Sqr((76.41 + 0)2 + (0 + 0)2 + (180.26 + 6.48)2)= 201.77 N/cm (Resultant shear load)
Required leg to vessel fillet weld leg size (welded both sides + top)
tw = f / (0.707*0.55*Sa)= 20.18 / (0.707*0.55*138)= 0.38 mm
The 6.35 mm leg to vessel attachment fillet weld size is adequate.
Base plate thickness check, AISC 3-106
fp = P / (B*N)= 874.6 / (95*125)= 0.074 MPa
Required base plate thickness is the largest of the following: (1.63 mm)
tb = Sqr(0.5*P / Sb)= Sqr(0.5*874.6 / 165.474)= 1.63 mm
tb = 0.5*(N - d)*Sqr(3*fp / Sb)= 0.5*(125 - 50.8)*Sqr(3*0.074 / 165.474)= 1.36 mm
tb = Sqr(3*Pt*0.5*Abs(OD - BC) / Sb)= Sqr(3*70.74*0.0197*Abs(508 - 584.2) / 165.474)= 1.39 mm
The base plate thickness is adequate.
105/121
Check the leg to vessel attachment stresses, WRC 107 (Wind vacuum corroded governs)
Applied Loads
Radial load: Pr = -66.97 NCircumferential moment: Mc = 0 N-mCircumferential shear: Vc = 0 NLongitudinal moment: ML = 8.49 N-mLongitudinal shear: VL = -13.71 NTorsion moment: Mt = 0 N-mInternal pressure: P = -931.63kPaMean shell radius: Rm = 247.65 mmLocal shell thickness: T = 9.5 mmShell yield stress: Sy = 249 MPaDesign factor: 3
Maximum stresses due to the applied loads at the leg edge (includes pressure)
γ = Rm / T = 247.65 / 9.5 = 26.0695
C1 = 25.4, C2 = 20.82 mm
Local circumferential pressure stress = P*Ri / T =-23.821 MPa
Local longitudinal pressure stress = P*Ri / (2*T) =-11.914 MPa
Maximum combined stress (PL+P
b+Q) = -25.17 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) = -24 MPa
Allowable local primary membrane stress (PL) = +-1.5*S = +-207 MPa
The maximum local primary membrane stress (PL) is within allowable limits.
106/121
Stresses at the leg edge per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 4.3905 0.0923 0 0 0 0 0.124 0.124 0.124 0.124
4C* 4.7211 0.0975 0.131 0.131 0.131 0.131 0 0 0 0
1C 0.1505 0.098 0 0 0 0 0.669 -0.669 0.669 -0.669
2C-1 0.1108 0.098 0.496 -0.496 0.496 -0.496 0 0 0 0
3A* 0.6531 0.096 0 0 0 0 0 0 0 0
1A 0.099 0.1105 0 0 0 0 0 0 0 0
3B* 2.1309 0.0898 -0.31 -0.31 0.31 0.31 0 0 0 0
1B-1 0.0526 0.0927 -1.296 1.296 1.296 -1.296 0 0 0 0
Pressure stress* -23.821 -23.821 -23.821 -23.821 -23.821 -23.821 -23.821 -23.821
Total circumferential stress -24.8 -23.201 -21.587 -25.173 -23.028 -24.366 -23.028 -24.366
Primary membranecircumferential stress* -24.001 -24.001 -23.38 -23.38 -23.697 -23.697 -23.697 -23.697
3C* 4.3202 0.0975 0.124 0.124 0.124 0.124 0 0 0 0
4C* 4.7594 0.0923 0 0 0 0 0.138 0.138 0.138 0.138
1C-1 0.1577 0.0942 0.703 -0.703 0.703 -0.703 0 0 0 0
2C 0.1148 0.0942 0 0 0 0 0.51 -0.51 0.51 -0.51
4A* 0.86 0.096 0 0 0 0 0 0 0 0
2A 0.0563 0.1073 0 0 0 0 0 0 0 0
4B* 0.5782 0.0898 -0.083 -0.083 0.083 0.083 0 0 0 0
2B-1 0.0832 0.0955 -1.986 1.986 1.986 -1.986 0 0 0 0
Pressure stress* -11.914 -11.914 -11.914 -11.914 -11.914 -11.914 -11.914 -11.914
Total longitudinal stress -13.155 -10.59 -9.018 -14.396 -11.266 -12.286 -11.266 -12.286
Primary membranelongitudinal stress* -11.873 -11.873 -11.707 -11.707 -11.776 -11.776 -11.776 -11.776
Shear from Mt 0 0 0 0 0 0 0 0
Circ shear from Vc 0 0 0 0 0 0 0 0
Long shear from VL 0 0 0 0 0.021 0.021 -0.021 -0.021
Total Shear stress 0 0 0 0 0.021 0.021 -0.021 -0.021
Combined stress (PL+Pb+Q) -24.8 -23.201 -21.587 -25.173 -23.028 -24.366 -23.028 -24.366
Note: * denotes primary stress.
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Wind Code
Building Code: ASCE 7-02Elevation of base above grade: 0.0000 ft (0.0000 m)Increase effective outer diameter by: 0.0000 ft (0.0000 m) Wind Force Coefficient Cf: 0.5200 Basic Wind Speed:, V: 92.0002 mph (148.0600 km/h) Importance Factor:, I: 1.0000Exposure category: CWind Directionality Factor, Kd: 0.9500Topographic Factor, Kzt: 1.0000Enforce min. loading of 0.48 kPa: Yes
Vessel Characteristics
Vessel height, h: 3.7730 ft (1.1500 m)Vessel Minimum Diameter, b
Operating, Corroded: 1.6562 ft (0.5048 m)Empty, Corroded: 1.6562 ft (0.5048 m)
Fundamental Frequency, n1
Operating, Corroded: 69.4139 HzEmpty, Corroded: 69.4172 Hz
Vacuum, Corroded: 69.4139 Hz Damping coefficient, β
Operating, Corroded: 0.0200Empty, Corroded: 0.0200
Vacuum, Corroded: 0.0200
Table Lookup Values
2.4.1 Basic Load Combinations for Allowable Stress DesignThe following load combinations are considered in accordance with ASCE section 2.4.1:
5. D + P + Ps + W7. 0.6D + P + Ps + WWhereD = Dead loadP = Internal or external pressure loadPs = Static head loadW = Wind load
Wind Deflection Reports:
Operating, CorrodedEmpty, CorrodedVacuum, CorrodedWind Pressure Calculations
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Wind Deflection Report: Operating, Corroded
ComponentElevation of
bottom abovebase (mm)
Effective OD(m)
Elastic modulusE (MPa)
InertiaI (m4)
Platformwind shear at
Bottom (N)
Total windshear at
Bottom (N)
bendingmoment at
Bottom (N-m)
Deflectionat top (mm)
B16.9 Pipe Cap #1 921 0.51 200,133.3 * 0 48.8 5 0.01
Cylinder #1 (top) 221 0.51 200,133.3 0.0004535 0 212.9 137 0.01
Legs #1 0 0 199,948.0 5.794e-007 0 267.9 189.9 0.01
Cylinder #1 (bottom) 221 0.51 200,133.3 0.0004535 0 55 6.3 0.01
B16.9 Pipe Cap #2 221 0.51 200,133.3 * 0 48.8 5 0.01
*Moment of Inertia I varies over the length of the componentWind Deflection Report: Empty, Corroded
ComponentElevation of
bottom abovebase (mm)
Effective OD(m)
Elastic modulusE (MPa)
InertiaI (m4)
Platformwind shear at
Bottom (N)
Total windshear at
Bottom (N)
bendingmoment at
Bottom (N-m)
Deflectionat top (mm)
B16.9 Pipe Cap #1 921 0.51 202,272.2 * 0 48.8 5 0.01
Cylinder #1 (top) 221 0.51 202,272.2 0.0004535 0 212.9 137 0.01
Legs #1 0 0 199,948.0 5.794e-007 0 267.9 189.9 0.01
Cylinder #1 (bottom) 221 0.51 202,272.2 0.0004535 0 55 6.3 0.01
B16.9 Pipe Cap #2 221 0.51 202,272.2 * 0 48.8 5 0.01
*Moment of Inertia I varies over the length of the componentWind Deflection Report: Vacuum, Corroded
ComponentElevation of
bottom abovebase (mm)
Effective OD(m)
Elastic modulusE (MPa)
InertiaI (m4)
Platformwind shear at
Bottom (N)
Total windshear at
Bottom (N)
bendingmoment at
Bottom (N-m)
Deflectionat top (mm)
B16.9 Pipe Cap #1 921 0.51 195,600.0 * 0 48.8 5 0.01
Cylinder #1 (top) 221 0.51 200,133.3 0.0004535 0 212.9 137 0.01
Legs #1 0 0 199,948.0 5.794e-007 0 267.9 189.9 0.01
Cylinder #1 (bottom) 221 0.51 200,133.3 0.0004535 0 55 6.3 0.01
B16.9 Pipe Cap #2 221 0.51 195,600.0 * 0 48.8 5 0.01
*Moment of Inertia I varies over the length of the componentWind Deflection Report: Hydrotest, New, field
ComponentElevation of
bottom abovebase (mm)
Effective OD(m)
Elastic modulusE (MPa)
InertiaI (m4)
Platformwind shear at
Bottom (N)
Total windshear at
Bottom (N)
bendingmoment at
Bottom (N-m)
Deflectionat top (mm)
B16.9 Pipe Cap #1 921 0.51 200,933.3 * 0 0 0 0
Cylinder #1 (top) 221 0.51 200,933.3 0.0006064 0 0 44.5 0
Legs #1 0 0 199,948.0 5.794e-007 0 0 44.5 0
Cylinder #1 (bottom) 221 0.51 200,933.3 0.0006064 0 0 0 0
B16.9 Pipe Cap #2 221 0.51 200,933.3 * 0 0 0 0
*Moment of Inertia I varies over the length of the component-->
Wind Deflection Report: Hydrotest, Corroded, field
ComponentElevation of
bottom abovebase (mm)
Effective OD(m)
Elastic modulusE (MPa)
InertiaI (m4)
Platformwind shear at
Bottom (N)
Total windshear at
Bottom (N)
bendingmoment at
Bottom (N-m)
Deflectionat top (mm)
B16.9 Pipe Cap #1 921 0.51 200,933.3 * 0 0 0 0
109/121
Cylinder #1 (top) 221 0.51 200,933.3 0.0004535 0 0 43.7 0
Legs #1 0 0 199,948.0 5.794e-007 0 0 43.7 0
Cylinder #1 (bottom) 221 0.51 200,933.3 0.0004535 0 0 0 0
B16.9 Pipe Cap #2 221 0.51 200,933.3 * 0 0 0 0
*Moment of Inertia I varies over the length of the component-->
Wind Pressure (WP) Calculations
Gust Factor (G¯) Calculations
Kz = 2.01 * (Z/Zg)2/α
= 2.01 * (Z/274.3200)0.2105
qz = 0.613 * Kz * Kzt * Kd * V2 * I= 0.613 * Kz * 1.0000 * 0.9500 * 41.12782 * 1.0000= 985.0416 * Kz
WP = qz * G * Cf (Minimum 0.48 kPa)= qz * G * 0.5200 (Minimum 0.48 kPa)
Design Wind Pressures
Height Z(m) Kz qz
(kPa)
WP:Operating
(kPa)
WP:Empty(kPa)
WP: HydrotestNew(kPa)
WP: HydrotestCorroded
(kPa)
WP:Vacuum
(kPa)
4.6 0.8489 0.8367 0.4788 0.4788 N.A. N.A. 0.4788Design Wind Force determined from: F = Pressure * Af , where Af is the projected area.
Height Z(m) Kz qz(kPa) WP(kPa) %PRESSURESTABLEVOC%-->Height Z(m) Kz qz(kPa) WP(kPa) %PRESSURESTABLEVEC%
-->Height Z(m) Kz qz(kPa) WP(kPa) %PRESSURESTABLEVVC%
-->
Gust Factor Calculations
Operating, CorrodedEmpty, CorrodedVacuum, Corroded
Gust Factor Calculations: Operating, Corroded
Vessel is considered a rigid structure as n1 = 69.4139 Hz ≥ 1 Hz.
z¯ = max ( 0.60 * h , zmin )= max ( 0.60 * 3.7730 , 15.0000 )= 15.0000
Iz¯ = c * (33 / z¯)1/6
= 0.2000 * (33 / 15.0000)1/6
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= 0.2281Lz¯ = l * (z¯ / 33)ep
= 500.0000 * (15.0000 / 33)0.2000
= 427.0566Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63))
= Sqr(1 / (1 + 0.63 * ((1.6562 + 3.7730) / 427.0566)0.63))= 0.9805
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯)= 0.925 * (1 + 1.7 * 3.40* 0.2281 * 0.9805) / (1 + 1.7 * 3.40 * 0.2281)= 0.9147
Gust Factor Calculations: Empty, Corroded
Vessel is considered a rigid structure as n1 = 69.4172 Hz ≥ 1 Hz.
z¯ = max ( 0.60 * h , zmin )= max ( 0.60 * 3.7730 , 15.0000 )= 15.0000
Iz¯ = c * (33 / z¯)1/6
= 0.2000 * (33 / 15.0000)1/6
= 0.2281Lz¯ = l * (z¯ / 33)ep
= 500.0000 * (15.0000 / 33)0.2000
= 427.0566Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63))
= Sqr(1 / (1 + 0.63 * ((1.6562 + 3.7730) / 427.0566)0.63))= 0.9805
G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯)= 0.925 * (1 + 1.7 * 3.40* 0.2281 * 0.9805) / (1 + 1.7 * 3.40 * 0.2281)= 0.9147
Gust Factor Calculations: Vacuum, Corroded
Vessel is considered a rigid structure as n1 = 69.4139 Hz ≥ 1 Hz.
z¯ = max ( 0.60 * h , zmin )= max ( 0.60 * 3.7730 , 15.0000 )= 15.0000
Iz¯ = c * (33 / z¯)1/6
= 0.2000 * (33 / 15.0000)1/6
= 0.2281Lz¯ = l * (z¯ / 33)ep
= 500.0000 * (15.0000 / 33)0.2000
= 427.0566Q = Sqr(1 / (1 + 0.63 * ((b + h) / Lz¯)0.63))
= Sqr(1 / (1 + 0.63 * ((1.6562 + 3.7730) / 427.0566)0.63))= 0.9805
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G = 0.925 * (1 + 1.7 * gQ * Iz¯ * Q) / (1 + 1.7 * gv * Iz¯)= 0.925 * (1 + 1.7 * 3.40* 0.2281 * 0.9805) / (1 + 1.7 * 3.40 * 0.2281)= 0.9147
Table Lookup Values
α = 9.5000, zg = 274.3200 m [Table 6-2, page 74]c = 0.2000, l = 500.0000, ep = 0.2000 [Table 6-2, page 74]a¯ = 0.1538, b¯ = 0.6500 [Table 6-2, page 74]zmin = 15.0000 ft [Table 6-2, page 74]gQ = 3.40 [6.5.8.1 page 30]gv = 3.40 [6.5.8.1 page 30]
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Ear lug
Geometry Inputs
Attached To Cylinder #1
Material SA 516 Gr.60
Distance of Lift Point From Datum 800 mm
Angular Position 63.40° and 243.40°
Length of Lug, L 100 mm
Width of Lug, B 100 mm
Thickness of Lug, t 12 mm
Hole Diameter, d 30 mm
Pin Diameter, Dp 28 mm
Lug Diameter at Pin, D 100 mm
Weld Size, tw 8 mm
Width of Pad, Bp 120 mm
Length of Pad, Lp 140 mm
Pad Thickness, tp 12 mm
Pad Weld Size, twp 8 mm
Weld Length, L3 127 mm
Length to Brace Plate, L1 50 mm
Load Angle from Vertical, φ 0.0000 °
Has Brace Plate Yes
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Intermediate Values
Load Factor 1.5000
Vessel Weight (new, incl. Load Factor), W 335 kg
Lug Weight (new), Wlug 9 kg (Qty=2)
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 3.38 mm
Required Lug Thickness, treqd 0.28 mm
Estimated Brace Plate Length 12 mm
Lug Stress Ratio, σratio 0.01
Weld Shear Stress Ratio, τratio 0.01
Lug Design Acceptable
Local Stresses WRC 107 Acceptable
Maximum Out of Plane Lift Angle - Weak Axis Bending 77.39°COMPRESS recommends a spreader beam be used to prevent weak axis bending of the top lugs.Ear lug brace plate should be removed before vessel is put in service.
Lift Forces
Fr = force on vessel at lugFr = [W / cos(φ1)]*(1 - x1 / (x1 + x2))
= (335.2*9.8) / cos(0.0000)*(1 - 254/ (254 +254))
= 1,643.5 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 of gravity
Lug Pin Diameter - Shear stress
dreqd = (2*Fv / (π*σs))0.5
= (2*1,643.5 / (π*91.84))0.5 = 3.38 mm
dreqd / Dp = 3.38 / 28 = 0.12 Acceptable
σ = Fv / A= Fv / (2*(0.25*π*Dp
2))
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= 1,643.5 / (2*(0.25*π*282)) = 1.33 MPa
σ / σs = 1.33 / 91.84 = 0.01 Acceptable
Lug Thickness - Tensile stress
treqd = Fv / ((D - d)*σt)= 1,643.5 / ((100 - 30)*137.76) = 0.17 mm
treqd / t = 0.17 / 12 = 0.01 Acceptable
σ = Fv / A= Fv / ((D - d)*t)= 1,643.5 / ((100 - 30)*12) = 1.96 MPa
σ / σt = 1.96 / 137.76 = 0.01 Acceptable
Lug Thickness - Bearing stress
treqd = Fv / (Dp*σp)= 1,643.5 / (28*206.64) = 0.28 mm
treqd / t = 0.28 / 12 = 0.02 Acceptable
σ = Fv / Abearing
= Fv / (Dp*(t))= 1,643.5 / (28*(12)) = 4.89 MPa
σ / σp = 4.89 / 206.64 = 0.02 Acceptable
Lug Thickness - Shear stress
treqd = [Fv / σs] / (2*Lshear)= (1,643.5 / 91.84) / (2*39.04) = 0.23 mm
treqd / t = 0.23 / 12 = 0.02 Acceptable
τ = Fv / Ashear
= Fv / (2*t*Lshear )= 1,643.5 / (2*12*39.04) = 1.75 MPa
τ / σs = 1.75 / 91.84 = 0.02 Acceptable
Shear stress length (per Pressure Vessel and Stacks, A. Keith Escoe)
115/121
φ = 55*Dp / d= 55*28 / 30= 51.3333°
Z = 0.5*(D - d) + 0.5*Dp*(1 - cos(φ))= 0.5*(100 - 30) + 0.5*28*(1 - cos(51.3333))= 40.25 mm
Z1 = 0.5*D - sqr(0.25*D*D - (0.5*Dp*sin(φ))2)= 0.5*100 - sqr(0.25*100*100 - (0.5*28*sin(51.3333))2)= 1.21 mm
Lshear = Z - Z1= 39.04 mm
Lug Plate Stress
Lug stress, tensile + bending, during rotational lift:σ ratio = [Ften / (Aten*σt)] + [Mbend / (Zbend*σb)] ≤ 1
= [(Ftop(α)*sin(α) ) / (t*B*σt)] + [(6*Ftop(α) *L*cos(α) ) / (t*B2 * σb)] ≤1
= 1,643.5*sin(90.0) / (12*100*137.76) + 6*(1,643.5)*100*cos(90.0)/ (12*1002*153.07)
= 0.01 Acceptable
Weak Axis Bending Stress
Maximum lift cable angle from vertical θ = 77.39°
σb = M / Z = (F*sin(θ)* L1) / ZF*cos(θ) = 0.5*W => F = 0.5*W / cos(θ)θ = arctan( (2*σb*Z ) / (W* L1) )
θ = arctan( (2*153.07*(100*122/6) ) /(3,287*50) ) = 77.39°
Loading on brace plate and head are not considered.
116/121
Weld Stress
Weld stress, direct and torsional shear, during rotational lift:
Direct shear:
Maximum weld shear stress occurs at lift angle 90.00°; lift force = 1,643.5 N
Aweld = 0.707*tw*(2*L3 + 2*B)= 0.707*8*(2*127 + 2*100) = 2,567.82 mm2
τt = Fr*cos(α) / Aweld
= 1,643.5*cos(90.0) / 2,567.82 = 0 MPa
τs = Fr*sin(α) / Aweld
= 1,643.5*sin(90.0) / 2,567.82 = 0.64 MPa
τ = sqr( τt2 + τs
2 )= sqr( 02 + 0.642 ) = 0.64 MPa
τ / τallowable = 0.64 / 91.84 = 0.01 ≤ 1Acceptable
Pad Weld Stress
Direct shear:
Maximum weld shear stress occurs at lift angle 90.00°; lift force = 1,643.5 N
Aweld = 0.707*twp*(2*Lp + Bp)= 0.707*8*(2*140 + 120) = 2,262.4 mm2
τt = Fr*cos(α) / Aweld
= 1,643.5*cos(90.0) / 2,262.4 = 0 MPa
τs = Fr*sin(α) / Aweld
= 1,643.5*sin(90.0) / 2,262.4 = 0.73 MPa
117/121
τ = sqr( τt2 + τs
2 )= sqr( 02 + 0.732 ) = 0.73 MPa
τ / τallowable = 0.73 / 91.84 = 0.01 ≤ 1Acceptable
WRC 107 Analysis
Geometry
Height(radial): 12 mm Pad Thickness: 12mm
Width (circumferential): 100 mm Pad Width: 120mm
Length 127 mm Pad Length: 140mm
Fillet Weld Size: 8 mm Pad Weld Size: 8mm
Located on: Cylinder #1 (127 mm from top end)Location Angle: 63.40° and 243.40°
Applied Loads
Radial load: Pr = 0 NCircumferential moment: Mc = 0 N-mCircumferential shear: Vc = 0 NLongitudinal moment: ML = 29.58 N-mLongitudinal shear: VL = 1,643.48NTorsion moment: Mt = 0 N-mInternal pressure: P = 0 kPaMean shell radius: Rm = 247.65 mmShell yield stress: Sy = 262 MPaDesign factor: 3
Maximum stresses due to the applied loads at the lug edge (includes pressure)
γ = Rm / T = 247.65 / 24.7 = 10.0263
C1 = 58, C2 = 71.5 mm
Local circumferential pressure stress = P*Ri / T =0 MPa
Local longitudinal pressure stress = P*Ri / (2*T) =0 MPa
Maximum combined stress (PL+P
b+Q) = 0.47 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) = -0.08 MPa
Allowable local primary membrane stress (PL) = +-1.5*S = +-207 MPa
The maximum local primary membrane stress (PL) is within allowable limits.
118/121
Stresses at the lug edge per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 1.227 0.2915 0 0 0 0 0 0 0 0
4C* 1.612 0.2731 0 0 0 0 0 0 0 0
1C 0.0978 0.2522 0 0 0 0 0 0 0 0
2C-1 0.0653 0.2522 0 0 0 0 0 0 0 0
3A* 0.3573 0.2511 0 0 0 0 0 0 0 0
1A 0.0906 0.2831 0 0 0 0 0 0 0 0
3B* 1.2279 0.2693 -0.076 -0.076 0.076 0.076 0 0 0 0
1B-1 0.0385 0.2676 -0.172 0.172 0.172 -0.172 0 0 0 0
Pressure stress* 0 0 0 0 0 0 0 0
Total circumferential stress -0.248 0.097 0.248 -0.097 0 0 0 0
Primary membranecircumferential stress* -0.076 -0.076 0.076 0.076 0 0 0 0
3C* 1.2803 0.2731 0 0 0 0 0 0 0 0
4C* 1.5788 0.2915 0 0 0 0 0 0 0 0
1C-1 0.0905 0.2764 0 0 0 0 0 0 0 0
2C 0.0585 0.2764 0 0 0 0 0 0 0 0
4A* 0.6255 0.2511 0 0 0 0 0 0 0 0
2A 0.0489 0.3118 0 0 0 0 0 0 0 0
4B* 0.3767 0.2693 -0.028 -0.028 0.028 0.028 0 0 0 0
2B-1 0.058 0.2933 -0.234 0.234 0.234 -0.234 0 0 0 0
Pressure stress* 0 0 0 0 0 0 0 0
Total longitudinal stress -0.262 0.207 0.262 -0.207 0 0 0 0
Primary membranelongitudinal stress* -0.028 -0.028 0.028 0.028 0 0 0 0
Shear from Mt 0 0 0 0 0 0 0 0
Circ shear from Vc 0 0 0 0 0 0 0 0
Long shear from VL 0 0 0 0 -0.234 -0.234 0.234 0.234
Total Shear stress 0 0 0 0 -0.234 -0.234 0.234 0.234
Combined stress (PL+Pb+Q) -0.262 0.207 0.262 -0.207 0.469 0.469 0.469 0.469
Note: * denotes primary stress.
Maximum stresses due to the applied loads at the pad edge (includes pressure)
γ = Rm / T = 247.65 / 12.7 = 19.5
C1 = 68, C2 = 78 mm
Local circumferential pressure stress = P*Ri / T =0 MPa
Local longitudinal pressure stress = P*Ri / (2*T) =0 MPa
Maximum combined stress (PL+P
b+Q) = 0.83 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) = -0.22 MPa
Allowable local primary membrane stress (PL) = +-1.5*S = +-207 MPa
119/121
The maximum local primary membrane stress (PL) is within allowable limits.
120/121
Stresses at the pad edge per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 1.6096 0.3182 0 0 0 0 0 0 0 0
4C* 2.5827 0.3041 0 0 0 0 0 0 0 0
1C 0.0644 0.288 0 0 0 0 0 0 0 0
2C-1 0.0336 0.288 0 0 0 0 0 0 0 0
3A* 0.8525 0.2874 0 0 0 0 0 0 0 0
1A 0.0773 0.3252 0 0 0 0 0 0 0 0
3B* 1.961 0.3009 -0.221 -0.221 0.221 0.221 0 0 0 0
1B-1 0.0246 0.3004 -0.365 0.365 0.365 -0.365 0 0 0 0
Pressure stress* 0 0 0 0 0 0 0 0
Total circumferential stress -0.586 0.145 0.586 -0.145 0 0 0 0
Primary membranecircumferential stress* -0.221 -0.221 0.221 0.221 0 0 0 0
3C* 1.6817 0.3041 0 0 0 0 0 0 0 0
4C* 2.5285 0.3182 0 0 0 0 0 0 0 0
1C-1 0.0584 0.3066 0 0 0 0 0 0 0 0
2C 0.0333 0.3066 0 0 0 0 0 0 0 0
4A* 1.6352 0.2874 0 0 0 0 0 0 0 0
2A 0.0362 0.349 0 0 0 0 0 0 0 0
4B* 0.8286 0.3009 -0.11 -0.11 0.11 0.11 0 0 0 0
2B-1 0.0395 0.3263 -0.538 0.538 0.538 -0.538 0 0 0 0
Pressure stress* 0 0 0 0 0 0 0 0
Total longitudinal stress -0.648 0.427 0.648 -0.427 0 0 0 0
Primary membranelongitudinal stress* -0.11 -0.11 0.11 0.11 0 0 0 0
Shear from Mt 0 0 0 0 0 0 0 0
Circ shear from Vc 0 0 0 0 0 0 0 0
Long shear from VL 0 0 0 0 -0.414 -0.414 0.414 0.414
Total Shear stress 0 0 0 0 -0.414 -0.414 0.414 0.414
Combined stress (PL+Pb+Q) -0.648 0.427 0.648 -0.427 0.827 0.827 0.827 0.827
Note: * denotes primary stress.
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