· 1.design data 2.setting summary 3.pressure summary 4.vacuum summary 5.hydrostatic test pressure...
Post on 05-Apr-2018
239 Views
Preview:
TRANSCRIPT
1 . DESIGN DATA
2 . SETTING SUMMARY
3 . PRESSURE SUMMARY
4 . VACUUM SUMMARY
5 . HYDROSTATIC TEST PRESSURE
6 . THICKNESS SUMMARY
7 . WEIGHT SUMMARY
8 . NOZZLE SCHEDULE AND SUMMARY
9 . SHELL AND HEAD
10 . NOZZLE
11 . WIND AND SEISMIC LOAD CALCULATION
12 . SUPPORT SKIRT
13 . SKIRT BASE RING
14 . LIFING LUG AND TAILING LUG
15 . BASE BLOCK
PAGE
242 ~ 250
8
9
81 ~ 241
10 ~ 11
3
6
7
278 ~ 280
273 ~ 277
251 ~ 255
2
4 ~ 5
256 ~ 272
CONTENTS
12 ~ 80
ITEM NO. : DA-4302 1
ITEM NO. : DA-4302 2
ITEM NAME : FIN MIBK COLUMN
CODE
REGULATION
FLUID
DESIGN PRESSURE
OPERATING PRESSURE
DESIGN TEMPERATURE
OPERATING TEMPERATURE
MAWP (HOT & CORRODED)
MAP (NEW & COLD)
HYDRO. TEST PRESSURE
PNEUMATIC TEST PRESSURE
CORROSION ALLOWANCE
RADIOGRAPHIC TEST (S / H)
JOINT EFFICIENCY (S / H)
POST WELD HEAT TREATMENT
STRESS RELIEVING
MINIMUM DESIGN METAL TEMPERATURE
INSULATION
WIND VELOCITY
SEISMIC ZONE
13.25
20.04
DESIGN DATA
oC
3.5 / F.V
0.1 Kg/cm2G
oC
Kg/cm2G
ASME SEC.Ⅷ DIV.1
Kg/cm2G
HPGCL
MIBK + DIBK
5.25
Kg/cm2G
220
167
Kg/cm2G
-
3
SPOT / FULL
45 (ASCE 7-05)
2A (UBC-97)
65 (H)
NO
0.85 / 1.0
mm
Kg/cm2G
oC
mm
TOP, BOTTOM HEAD
-15
m/sec.
Settings Summary
COMPRESS Build 6252
Units: MKS
Datum Line Location: 0.00 mm from bottom seam
Design
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
Design or Rating: Get Thickness from Pressure
Minimum thickness: 1.50 mm per UG-16(b)
Design for cold shut down only: No
Design for lethal service (full radiography required): No
Design nozzles for: Design P, find nozzle MAWP and MAP
Corrosion weight loss: 100% of theoretical loss
UG-23 Stress Increase: 1.20
Skirt/legs stress increase: 1.0
Minimum nozzle projection: 119.99 mm
Juncture calculations for α > 30 only: Yes
Preheat P-No 1 Materials > 1.25" and <= 1.50" thick: NoButt welds are tapered per Figure UCS-66.3(a).
Hydro/Pneumatic Test
Shop Hydrotest at user defined pressure
Test liquid specific gravity: 1.00
Maximum stress during test: 90% of yield
Required Marking - UG-116
UG-116 (e) Radiography: RT4
UG-116 (f) Postweld heat treatment: None
Code Interpretations
Use Code Case 2547: No
Apply interpretation VIII-1-83-66: Yes
Apply interpretation VIII-1-86-175: Yes
Apply interpretation VIII-1-83-115: Yes
Apply interpretation VIII-1-01-37: Yes
Disallow UG-20(f) exemptions: No
UG-22 Loadings
UG-22 (a) Internal or External Design Pressure : Yes
UG-22 (b) Weight of the vessel and normal contents under operating or test conditions: Yes
UG-22 (c) Superimposed static reactions from weight of attached equipment (external loads): No
UG-22 (d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs: Yes
UG-22 (f) Wind reactions: Yes
UG-22 (f) Seismic reactions: YesNote: UG-22 (b),(c) and (f) loads only considered when supports are present.
ITEM NO. : DA-4302 3
Pressure Summary
Pressure Summary for Chamber bounded by BOTTOM HEAD and TOP HEAD
IdentifierP
Design( kg/cm2)
T
Design(°C)
MAWP( kg/cm2)
MAP( kg/cm2)
MAEP( kg/cm2)
Te
external(°C)
MDMT(°C)
MDMTExemption
Total Corrosion
Allowance(mm)
ImpactTest
TOP HEAD 3.50 220.0 23.86 31.82 7.40 220.0 -48.0 Note 1 3.00 No
Straight Flange on TOP HEAD 3.50 220.0 28.96 36.93 1.50 220.0 -48.0 Note 2 3.00 No
SHELL #1 3.50 220.0 24.61 31.39 1.50 220.0 -48.0 Note 3 3.00 No
SHELL #2 3.50 220.0 29.02 35.80 2.48 220.0 -48.0 Note 4 3.00 No
SHELL #3 3.50 220.0 37.78 44.55 5.57 220.0 -105.0 Note 5 3.00 No
SHELL #4 3.50 220.0 44.16 51.06 8.82 220.0 -105.0 Note 6 3.00 No
Straight Flange on BOTTOM HEAD 3.50 220.0 51.98 60.07 8.82 220.0 -105.0 Note 8 3.00 No
BOTTOM HEAD 3.50 220.0 44.14 52.21 15.81 220.0 -105.0 Note 7 3.00 No
MANHOLE (A1a) 3.50 220.0 13.47 20.04 1.50 220.0 -47.8 Nozzle Note 9; Pad note 10 3.00 No
MANHOLE (A1b) 3.50 220.0 13.47 20.04 1.50 220.0 -47.8 Nozzle Note 9; Pad note 10 3.00 No
MANHOLE (A1c) 3.50 220.0 13.47 20.04 1.50 220.0 -47.8 Nozzle Note 9; Pad note 10 3.00 No
MANHOLE (A1d) 3.50 220.0 13.47 20.04 2.48 220.0 -47.8 Nozzle Note 9; Pad note 11 3.00 No
MANHOLE (A1e) 3.50 220.0 13.38 20.04 8.82 220.0 -47.6 Nozzle Note 9; Pad note 12 3.00 No
MANHOLE (A2a) 3.50 220.0 13.47 20.04 1.50 220.0 -47.8 Nozzle Note 9; Pad note 10 3.00 No
FEED INLET (N1) 3.50 220.0 13.47 20.04 1.50 220.0 -47.8 Nozzle Note 9; Pad note 10 3.00 No
EQ. LINE (N13) 3.50 220.0 13.47 20.04 1.50 220.0 -47.8 Nozzle Note 9; Pad note 10 3.00 No
L.R.C.A (N17) 3.50 220.0 13.42 20.04 8.82 220.0 -47.7 Nozzle Note 9; Pad note 13 3.00 No
VAPOR OUTLET (N2) 3.50 220.0 13.47 20.04 1.50 220.0 -47.8 Nozzle Note 9; Pad note 10 3.00 No
REFLUX (N3) 3.50 220.0 13.47 20.04 1.50 220.0 -47.8 Nozzle Note 9; Pad note 10 3.00 No
TO REBOILER (N4) 3.50 220.0 13.25 20.04 8.82 220.0 -47.8 Nozzle Note 9; Pad note 14 3.00 No
FROM REBOILER (N5) 3.50 220.0 13.47 20.04 8.82 220.0 -47.8 Nozzle Note 9; Pad note 15 3.00 No
BOTTOM OUTLET (N6) 3.50 220.0 13.28 20.04 8.82 220.0 -47.7 Nozzle Note 9; Pad note 16 3.00 No
VENT (N7) 3.50 220.0 13.47 20.04 1.50 220.0 -47.8 Nozzle Note 9; Pad note 17 3.00 No
SPARE (N8) 3.50 220.0 13.47 20.04 1.50 220.0 -47.8 Nozzle Note 9; Pad note 17 3.00 No
STEAM OUT (N9) 3.50 220.0 13.34 20.04 8.82 220.0 -47.6 Nozzle Note 9; Pad note 18 3.00 No
Chamber design MDMT is -15.00°CChamber rated MDMT is -47.61°C @ 13.25 kg/cm2
Chamber MAWP hot & corroded is 13.25 kg/cm2 @ 220.0°C
Chamber MAP cold & new is 20.04 kg/cm2 @ 20.0°C
Chamber MAEP is 1.50 kg/cm2 @ 220.0°CVacuum rings did not govern the external pressure rating.
Notes for MDMT Rating:
Note # Exemption Details
1.Material impact test exemption temperature from Fig UCS-66M Curve B = -23.5 °CFig UCS-66.1M MDMT reduction = 26.2 °C, (coincident ratio = 0.5590365)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 11.9 mm
2.Material impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.4544551)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 14 mm
3.Material impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.4549112)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 14 mm
4.Material impact test exemption temperature from Fig UCS-66M Curve B = -14.81 °CFig UCS-66.1M MDMT reduction = 57.8 °C, (coincident ratio = 0.3849262)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 16 mm
5. Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.29436)
6. Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25289)
ITEM NO. : DA-4302 4
7. Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.30433)
8. Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25268)
9. Flange rating governs: UCS-66(b)(1)(b)
10.Pad impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.45446)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 14 mm.
11.Pad impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 58 °C, (coincident ratio = 0.38455)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 14 mm.
12. Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25208).
13. Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25102).
14. Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.27513).
15. Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.24996).
16. Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.27444).
17.Pad impact test exemption temperature from Fig UCS-66M Curve B = -23.5 °CFig UCS-66.1M MDMT reduction = 31.3 °C, (coincident ratio = 0.50313)Rated MDMT is governed by UCS-66(b)(2)
UCS-66 governing thickness = 11.9 mm.
18. Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25246).
Design notes are available on the Settings Summary page.
ITEM NO. : DA-4302 5
Vacuum Summary
Component Line of SupportElevation
above Datum(mm)
Length Le(mm)
TOP HEAD - 28508.40 N/A
- 1/3 depth of TOP HEAD 28322.50 N/A
Straight Flange on TOP HEAD Top - 28234.00 28449.00
Straight Flange on TOP HEAD Bottom - 28196.00 28449.00
SHELL #1 Top - 28196.00 28449.00
SHELL #1 Bottom - 14282.00 28449.00
SHELL #2 Top - 14282.00 28449.00
SHELL #2 Bottom - 7282.00 28449.00
SHELL #3 Top - 7282.00 28449.00
SHELL #3 Bottom - 3782.00 28449.00
SHELL #4 Top - 3782.00 28449.00
SHELL #4 Bottom - 0.00 28449.00
Straight Flange on BOTTOM HEAD Top - 0.00 28449.00
Straight Flange on BOTTOM HEAD Bottom - -38.00 28449.00
- 1/3 depth of BOTTOM HEAD -126.50 N/A
BOTTOM HEAD - -320.05 N/A
Note
For main components, the listed value of 'Le' is the largest unsupported length for the component.
ITEM NO. : DA-4302 6
Test Report
Shop test pressure determination for Chamber bounded by BOTTOM HEAD and TOP HEAD based on user defined pressure
Shop test gauge pressure is 5.25 kg/cm2 at 20.00 °C
The shop test is performed with the vessel in the horizontal position.
IdentifierLocal testpressurekg/cm2
Test liquidstatic head
kg/cm2
TOP HEAD 5.39 0.14
Straight Flange on TOP HEAD 5.39 0.14
SHELL #1 5.39 0.14
SHELL #2 5.39 0.14
SHELL #3 5.39 0.14
SHELL #4 5.39 0.14
Straight Flange on BOTTOM HEAD 5.39 0.14
BOTTOM HEAD 5.39 0.14
BOTTOM OUTLET (N6) 5.34 0.09
EQ. LINE (N13) 5.34 0.09
FEED INLET (N1) 5.34 0.09
FROM REBOILER (N5) 5.35 0.10
L.R.C.A (N17) 5.34 0.09
MANHOLE (A1a) 5.28 0.03
MANHOLE (A1b) 5.28 0.03
MANHOLE (A1c) 5.28 0.03
MANHOLE (A1d) 5.28 0.03
MANHOLE (A1e) 5.28 0.03
MANHOLE (A2a) 5.35 0.10
REFLUX (N3) 5.34 0.09
SPARE (N8) 5.30 0.05
STEAM OUT (N9) 5.34 0.09
TO REBOILER (N4) 5.34 0.09
VAPOR OUTLET (N2) 5.34 0.09
VENT (N7) 5.34 0.09
Notes:(1) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-most flange.
The field test condition has not been investigated for the Chamber bounded by BOTTOM HEAD and TOP HEAD.
The test temperature of 20.00 °C is warmer than the minimum recommended temperature of -30.61 °C so the brittle fracture provision ofUG-99(h) has been met.
ITEM NO. : DA-4302 7
Thickness Summary
ComponentIdentifier
Material Diameter(mm)
Length(mm)
Nominal t(mm)
Design t(mm)
JointE
Load
TOP HEAD SA-516 70 1050.00 ID 274.40 11.90* 5.77 1.0000 External
Straight Flange on TOP HEAD SA-516 70 1050.00 ID 38.00 14.00 12.62 1.0000 External
SHELL #1 SA-516 70 1050.00 ID 13914.00 14.00 12.62 0.8500 External
SHELL #2 SA-516 70 1050.00 ID 7000.00 16.00 12.66 0.8500 External
SHELL #3 SA-516 70 1050.00 ID 3500.00 20.00 12.73 0.8500 External
SHELL #4 SA-516 70 1050.00 ID 3782.00 23.00 13.59 0.8500 Seismic
Straight Flange on BOTTOM HEAD SA-516 70 1050.00 ID 38.00 23.00 13.61 1.0000 Seismic
BOTTOM HEAD SA-516 70 1050.00 ID 282.05 19.55* 5.77 1.0000 External
Support Skirt SA-283 C 1096.00/2290.00 OD 5800.00 20.00 17.58 0.5500 Seismic
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
ITEM NO. : DA-4302 8
Weight Summary
ComponentWeight ( kg) Contributed by Vessel Elements
MetalNew*
Metal
Corroded*Insulation &
Supports Lining Piping+ Liquid
OperatingLiquid
TestLiquid
TOP HEAD 135.16 102.29 125.17 0.00 1,360.80 0.00 184.48
SHELL #1 4,980.52 3,924.65 1,411.90 0.00 2,782.80 694.85 12,169.40
SHELL #2 2,901.43 2,364.18 709.89 0.00 1,400.00 590.98 6,092.50
SHELL #3 1,843.15 1,571.09 306.37 0.00 700.00 393.99 3,028.12
SHELL #4 2,232.66 1,947.05 324.16 0.00 756.40 1,322.33 3,311.59
BOTTOM HEAD 222.90 190.48 125.96 0.00 0.00 143.48 198.66
Support Skirt 4,800.57 4,800.57 0.00 7,108.39 0.00 0.00 0.00
Skirt Base Ring 560.19 560.19 0.00 0.00 0.00 0.00 0.00
TOTAL: 17,676.58 15,460.50 3,003.46 7,108.39 7,000.00 3,145.62 24,984.75
* Shells with attached nozzles have weight reduced by material cut out for opening.
Component
Weight ( kg) Contributed by Attachments
Body Flanges Nozzles &Flanges Packed
BedsLadders &Platforms
Trays &Supports
Rings &Clips
VerticalLoads
New Corroded New Corroded
TOP HEAD 0.00 0.00 13.20 12.61 0.00 0.00 0.00 0.00 0.00
SHELL #1 0.00 0.00 1,719.07 1,675.91 2,599.18 3,760.95 250.00 0.00 0.00
SHELL #2 0.00 0.00 468.16 457.03 2,954.89 1,579.01 0.00 0.00 0.00
SHELL #3 0.00 0.00 0.00 0.00 1,969.93 468.77 0.00 0.00 0.00
SHELL #4 0.00 0.00 532.94 517.87 299.43 506.54 0.00 0.00 0.00
BOTTOM HEAD 0.00 0.00 60.49 49.84 0.00 0.00 0.00 0.00 0.00
Support Skirt 0.00 0.00 0.00 0.00 0.00 924.48 0.00 0.00 0.00
TOTAL: 0.00 0.00 2,793.87 2,713.26 7,823.42 7,239.76 250.00 0.00 0.00
Vessel operating weight, Corroded: 53,744 kg
Vessel operating weight, New: 56,041 kg
Vessel empty weight, Corroded: 50,599 kg
Vessel empty weight, New: 52,895 kg
Vessel test weight, New: 69,068 kg
Vessel center of gravity location - from datum - lift condition
Vessel Lift Weight, New: 22,020 kg
Center of Gravity: 9,188.45 mm
Vessel Capacity
Vessel Capacity** (New): 24,784 liters
Vessel Capacity** (Corroded): 25,071 liters**The vessel capacity does not include volume of nozzle, piping or other attachments.
ITEM NO. : DA-4302 9
Nozzle Schedule
Nozzlemark Service Size
Materials
Nozzle Impact Norm Fine Grain Pad Impact Norm Fine Grain Flange
A1a MANHOLE 581.60 IDx14.00 SA-516 70 No No No SA-516 70 No No No WN A105 Class 150
A1b MANHOLE 581.60 IDx14.00 SA-516 70 No No No SA-516 70 No No No WN A105 Class 150
A1c MANHOLE 581.60 IDx14.00 SA-516 70 No No No SA-516 70 No No No WN A105 Class 150
A1d MANHOLE 581.60 IDx14.00 SA-516 70 No No No SA-516 70 No No No WN A105 Class 150
A1e MANHOLE 581.60 IDx14.00 SA-516 70 No No No SA-516 70 No No No WN A105 Class 150
A2a MANHOLE 429.20 IDx14.00 SA-516 70 No No No SA-516 70 No No No WN A105 Class 150
N1 FEED INLET 3" Sch 160 DN 80 SA-106 B Smls. Pipe No No No SA-516 70 No No No WN A105 Class 150
N13 EQ. LINE 3" Sch 160 DN 80 SA-106 B Smls. Pipe No No No SA-516 70 No No No WN A105 Class 150
N17 L.R.C.A 2" Sch 160 DN 50 SA-106 B Smls. Pipe No No No SA-516 70 No No No WN A105 Class 150
N2 VAPOR OUTLET 8" Sch 80 (XS) DN 200 SA-106 B Smls. Pipe No No No SA-516 70 No No No WN A105 Class 150
N3 REFLUX 2" Sch 160 DN 50 SA-106 B Smls. Pipe No No No SA-516 70 No No No WN A105 Class 150
N4 TO REBOILER 6" Sch 80 (XS) DN 150 SA-106 B Smls. Pipe No No No SA-516 70 No No No WN A105 Class 150
N5 FROM REBOILER 10" Sch 60 (XS) DN 250 SA-106 B Smls. Pipe No No No SA-516 70 No No No WN A105 Class 150
N6 BOTTOM OUTLET 2" Sch 160 DN 50 SA-106 B Smls. Pipe No No No SA-516 70 No No No WN A105 Class 150
N7 VENT 2" Sch 160 DN 50 SA-106 B Smls. Pipe No No No SA-516 70 No No No WN A105 Class 150
N8 SPARE 2" Sch 160 DN 50 SA-106 B Smls. Pipe No No No SA-516 70 No No No WN A105 Class 150
N9 STEAM OUT 2" Sch 160 DN 50 SA-106 B Smls. Pipe No No No SA-516 70 No No No WN A105 Class 150
ITEM NO. : DA-4302 10
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)
A1a 609.60 14.00 8.08 Yes Yes 14.00 14.00 270.20 14.00 3.00 203.6
A1b 609.60 14.00 8.08 Yes Yes 14.00 14.00 270.20 14.00 3.00 203.6
A1c 609.60 14.00 8.08 Yes Yes 14.00 14.00 270.20 14.00 3.00 203.6
A1d 609.60 14.00 8.08 Yes Yes 16.00 16.00 270.20 14.00 3.00 174.8
A1e 609.60 14.00 8.09 Yes Yes 23.00 23.00 270.20 14.00 3.00 112.3
A2a 457.20 14.00 8.08 Yes Yes 14.00 14.00 206.40 14.00 3.00 266.9
N1 88.90 11.13 8.91 Yes Yes 14.00 14.00 45.55 14.00 3.00 295.9
N13 88.90 11.13 8.91 Yes Yes 14.00 14.00 45.55 14.00 3.00 295.9
N17 60.32 8.74 7.34 Yes Yes 23.00 N/A 44.84 14.00 3.00 Exempt
N2 219.07 12.70 9.24 Yes Yes 14.00 14.00 90.46 14.00 3.00 270.4
N3 60.32 8.74 7.34 Yes Yes 14.00 N/A 44.84 14.00 3.00 Exempt
N4 168.27 10.97 9.17 Yes Yes 19.55* 13.27 65.86 14.00 3.00 401.6
N5 273.05 12.70 9.24 Yes Yes 23.00 23.00 118.47 14.00 3.00 149.6
N6 60.32 8.74 7.34 Yes Yes 19.55* N/A 44.84 14.00 3.00 Exempt
N7 60.32 8.74 7.34 Yes Yes 11.90* N/A 44.84 14.00 3.00 Exempt
N8 60.32 8.74 7.34 Yes Yes 11.90* N/A 44.84 14.00 3.00 Exempt
N9 60.32 8.74 7.34 Yes Yes 23.00 N/A 44.84 14.00 3.00 Exempt
tn: Nozzle thickness
Req tn: Nozzle thickness required per UG-45/UG-16
Nom t: Vessel wall thickness
Design t: Required vessel wall thickness due to pressure + corrosion allowance per UG-37
User t: Local vessel wall thickness (near opening)
Aa: Area available per UG-37, governing condition
Ar: Area required per UG-37, governing condition
Corr: Corrosion allowance on nozzle wall
* Head minimum thickness after forming
ITEM NO. : DA-4302 11
TOP HEAD
ASME Section VIII, Division 1, 2004 Edition, A06 Addenda Metric
Component: Ellipsoidal HeadMaterial Specification: SA-516 70 (II-D Metric p.14, ln. 20)Material impact test exemption temperature from Fig UCS-66M Curve B = -23.5 °CFig UCS-66.1M MDMT reduction = 26.2 °C, (coincident ratio = 0.5590365)Rated MDMT is governed by UCS-66(b)(2)UCS-66 governing thickness = 11.9 mm
Internal design pressure: P = 3.5 kg/cm2 @ 220 °CExternal design pressure: Pe = 1.03 kg/cm2 @ 220 °C
Static liquid head:
Ps= 0 kg/cm2 (SG=0.707, Hs=0 mm Operating head)Pth= 0.1354 kg/cm2 (SG=1, Hs=1355 mm Horizontal test head)
Corrosion allowance: Inner C = 3 mm Outer C = 0 mm
Design MDMT = -15°C No impact test performedRated MDMT = -48°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 - Full UW-11(a) Type 1 Head to shell seam - Spot UW-11(a)(5)(b) Type 1
Estimated weight*: new = 135.2 kg corr = 102.3 kgCapacity*: new = 184.4 liters corr = 188.3 liters* includes straight flange
Inner diameter = 1050 mmMinimum head thickness = 11.9 mmHead ratio D/2h = 2 (new)Head ratio D/2h = 1.9887 (corroded)Straight flange length Lsf = 38 mmNominal straight flange thickness tsf = 14 mm
Insulation thk*: 65 mm density: 250 kg/m3 weight: 25.1743 kgInsulation support ring spacing: 2,000.00 mm individual weight: 100 kg total weight: 100 kgLining/ref thk*: 0 mm density: 0 kg/m3 weight: 0 kg* includes straight flange if applicable
Results Summary
The governing condition is external pressure.Minimum thickness per UG-16 = 1.5 mm + 3 mm = 4.5 mmDesign thickness due to internal pressure (t) = 4.31 mmDesign thickness due to external pressure (te) = 5.77 mmMaximum allowable working pressure (MAWP) = 23.8597 kg/cm2
Maximum allowable pressure (MAP) = 31.8246 kg/cm2
Maximum allowable external pressure (MAEP) = 7.4031 kg/cm2
K (Corroded)
K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (1056 / (2*265.5))2]=0.992489
K (New)
K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (1050 / (2*262.5))2]=1
Design thickness for internal pressure, (Corroded at 220 °C) Appendix 1-4(c)
t = P*D*K / (2*S*E - 0.20*P) + Corrosion= 3.5*1056*0.992489 / (2*1407.207*1 - 0.20*3.5) + 3= 4.3 mm
ITEM NO. : DA-4302 12
The head internal pressure design thickness is 4.31 mm.
Maximum allowable working pressure, (Corroded at 220 °C) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0.20*t) - Ps= 2*1407.207*1*8.9 / (0.992489*1056 +0.20*8.9) - 0= 23.8597 kg/cm2
The maximum allowable working pressure (MAWP) is 23.8597 kg/cm2.
Maximum allowable pressure, (New at 20 °C) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0.20*t) - Ps= 2*1407.207*1*11.9 / (1*1050 +0.20*11.9) - 0= 31.8246 kg/cm2
The maximum allowable pressure (MAP) is 31.8246 kg/cm2.
Design thickness for external pressure, (Corroded at 220 °C) UG-33(d)
Equivalent outside spherical radius (Ro)Ro = Ko*Do
= 0.8805 * 1073.8= 945.46 mm
A = 0.125 / (Ro/t)= 0.125 / (945.46/2.77)= 0.000366
From Table CS-2 Metric: B=351.5795 kg/cm2
Pa = B/(Ro/t)= 351.5795/(945.46/2.77)
= 1.03 kg/cm2
t = 2.77 mm + Corrosion = 2.77 mm + 3 mm = 5.77 mmCheck the external pressure per UG-33(a)(1) Appendix 1-4(c)
t = 1.67*Pe*D*K / (2*S*E - 0.20*1.67*Pe) + Corrosion= 1.67*1.03*1056*0.992489 / (2*1407.207*1 - 0.20*1.67*1.03) + 3= 3.64 mm
The head external pressure design thickness (te) is 5.77 mm.
Maximum Allowable External Pressure, (Corroded at 220 °C) UG-33(d)
Equivalent outside spherical radius (Ro)Ro = Ko*Do
= 0.8805 * 1073.8= 945.46 mm
A = 0.125 / (Ro/t)= 0.125 / (945.46/8.9)= 0.001177
From Table CS-2 Metric: B=786.4261 kg/cm2
Pa = B/(Ro/t)= 786.4261/(945.46/8.9)
= 7.4031 kg/cm2
Check the Maximum External Pressure, UG-33(a)(1) Appendix 1-4(c)
P = 2*S*E*t / ((K*D + 0.20*t)*1.67) - Ps2= 2*1407.207*1*8.9 / ((0.992489*1056 +0.20*8.9)*1.67) - 0= 14.2872 kg/cm2
The maximum allowable external pressure (MAEP) is 7.4031 kg/cm2.
ITEM NO. : DA-4302 13
% Extreme fiber elongation - UCS-79(d)
= (75*t / Rf)*(1 - Rf / Ro)
= (75*14 / 185.5)*(1 - 185.5 / ϒ⊆)
= 5.6604%
The extreme fiber elongation exceeds 5 percent. Heat treatment per UCS-56 may be required. See UCS-79(d)(4) or (5).
ITEM NO. : DA-4302 14
Straight Flange on TOP HEAD
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
Component: Straight FlangeMaterial specification: SA-516 70 (II-D Metric p. 14, ln. 20)Material impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.4544551)Rated MDMT is governed by UCS-66(b)(2)UCS-66 governing thickness = 14 mm
Internal design pressure: P = 3.5 kg/cm2 @ 220°CExternal design pressure: Pe = 1.03 kg/cm2 @ 220°C
Static liquid head:
Ps =0.0000 kg/cm2 (SG=0.7070, Hs=0.00 mm Operating head)Pth =0.1354 kg/cm2 (SG=1.0000, Hs=1355.00 mm, Horizontal test head)
Corrosion allowance: Inner C = 3.00 mm Outer C = 0.00 mm
Design MDMT = -15.00°C No impact test performedRated MDMT = -48.00°C Material is not normalized
Material is not produced to Fine Grain PracticePWHT is not performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1Circumferential joint - Spot UW-11(a)(5)b Type 1
Estimated weight: New = 13.9294 kg corr = 10.9756 kgCapacity: New = 32.9043 liters corr = 33.2813 litersID = 1050.00 mmLength Lc = 38.00 mmt = 14.00 mm
Insulation thk: 65.00 mm density: 250.0000 kg/m©ø Weight: 0.0000 kg
Design thickness, (at 220.00°C) UG-27(c)(1)
t = P*R/(S*E - 0.60*P) + Corrosion= 3.50*528.00/(1407*1.00 - 0.60*3.50) + 3.00= 4.3155 mm
Maximum allowable working pressure, (at 220.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t) - Ps= 1407*1.00*11.0003 / (528.00 + 0.60*11.0003) - 0.0000= 28.9556 kg/cm2
Maximum allowable pressure, (at 20.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t)= 1407*1.00*14.0000 / (525.00 + 0.60*14.0000)= 36.9346 kg/cm2
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 28449.0015/1078.0000 = 26.3905Do/t = 1078.0000/9.622089 = 112.0339
From table G: A = 0.000091
From table CS-2 Metric: B = 86.5461kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*86.5461/(3*(1078.0000/9.622089))
= 1.0300 kg/cm©÷
Design thickness for external pressure Pa = 1.0300 kg/cm2
= t + Corrosion = 9.622089 + 3.00 = 12.62 mm
ITEM NO. : DA-4302 15
Maximum Allowable External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 28449.0015/1078.00 = 26.3905Do/t = 1078.00/11.0003 = 97.9977
From table G: A = 0.000116
From table CS-2 Metric: B = 110.5672kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*110.5672/(3*(1078.00/11.0003))
= 1.5044 kg/cm©÷
% Extreme fiber elongation - UCS-79(d)
= (50 * t / Rf) * (1 - Rf / Ro)= (50 * 14.00 / 532.0000) * (1 - 532.0000 / ∞)= 1.3158 %
Design thickness = 12.62 mm
The governing condition is due to external pressure.
The cylinder thickness of 14.00 mm is adequate.
Thickness Required Due to Pressure + External Loads
Condition Pressure P (kg/cm2)
Allowable StressBefore UG-23 StressIncrease ( kg/cm2) Temperature (°C) Corrosion C
(mm) Load Req'd Thk Due toTension (mm)
Req'd Thk Dueto Compression
(mm)
St Sc
Operating, Hot & Corroded 3.50 1407.21 932.42 220.00 3.0000 Wind 0.6426 0.6396
Seismic 0.6581 0.6223
Operating, Hot & New 3.50 1407.21 971.90 220.00 0.0000 Wind 0.6385 0.6353
Seismic 0.6542 0.6173
Hot Shut Down, Corroded 0.00 1407.21 932.42 220.00 3.0000 Wind 0.0011 0.0049
Seismic 0.0147 0.0270
Hot Shut Down, New 0.00 1407.21 971.90 220.00 0.0000 Wind 0.0016 0.0056
Seismic 0.0145 0.0276
Empty, Corroded 0.00 1407.21 1104.47 -17.78 3.0000 Wind 0.0009 0.0041
Seismic 0.0141 0.0222
Empty, New 0.00 1407.21 1153.15 -17.78 0.0000 Wind 0.0013 0.0047
Seismic 0.0139 0.0226
Vacuum -1.03 1407.21 932.42 220.00 3.0000 Wind 0.2441 0.2479
Seismic 0.2242 0.2700
Hot Shut Down, Corroded, Weight &Eccentric Moments Only 0.00 1407.21 932.42 220.00 3.0000 Weight 0.0042 0.0048
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (539.0000 / 11.0003)
= 0.002551
B = 932.4219 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScHC = 932.4219 kg/cm©÷
ITEM NO. : DA-4302 16
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (539.0000 / 14.0000)
= 0.003247
B = 971.9001 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScHN = 971.9001 kg/cm©÷
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (539.0000 / 14.0000)
= 0.003247
B = 1153.1477 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScCN = 1153.1477 kg/cm©÷
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (539.0000 / 11.0003)
= 0.002551
B = 1104.4689 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScCC = 1104.4689 kg/cm©÷
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (539.0000 / 11.0003)
= 0.002551
B = 932.4219 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScVC = 932.4219 kg/cm©÷
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 11/(π*533.49992*1407*1.2000*0.85) * 105
= 0.00 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*140/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.00 mm
tt = tp + tm - tw (total required, tensile)
= 0.643430 + 0.000881 - (0.001752)
= 0.64 mm
twc = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 140/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.00 mm
ITEM NO. : DA-4302 17
tc = |tmc + twc - tpc| (total, net tensile)
= |0.000881 + (0.002920) - (0.643430)|
= 0.64 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(11.0003-0.000881+(0.002920)) / (527.9997 - 0.40*(11.0003-0.000881+(0.002920)))
= 60.32 kg/cm2
Operating, Hot & New, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 11/(π*532.00002*1407*1.2000*0.85) * 105
= 0.00 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*174/(2*π*532.0000*1407*1.2000*0.85) * 102
= 0.00 mm
tt = tp + tm - tw (total required, tensile)
= 0.639775 + 0.000887 - (0.002177)
= 0.64 mm
twc = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 174/(2*π*532.0000*1407*1.2000*0.85) * 102
= 0.00 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0.000887 + (0.003628) - (0.639775)|
= 0.64 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(14.0000-0.000887+(0.003628)) / (525.0000 - 0.40*(14.0000-0.000887+(0.003628)))
= 77.39 kg/cm2
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 11/(π*533.49992*932*1.2000) * 105
= 0.00 mm
tw = 0.6*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 0.6000*140/(2*π*533.4999*932*1.2000) * 102
= 0.00 mm
tt = |tp + tm - tw| (total, net compressive)
= |0.000000 + 0.001130 - (0.002247)|
= 0.00 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 140/(2*π*533.4999*932*1.2000) * 102
= 0.00 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.001130 + (0.003745) - (0.000000)
= 0.00 mm
ITEM NO. : DA-4302 18
Hot Shut Down, New, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 11/(π*532.00002*972*1.2000) * 105
= 0.00 mm
tw = 0.6*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 0.6000*174/(2*π*532.0000*972*1.2000) * 102
= 0.00 mm
tt = |tp + tm - tw| (total, net compressive)
= |0.000000 + 0.001091 - (0.002679)|
= 0.00 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 174/(2*π*532.0000*972*1.2000) * 102
= 0.00 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.001091 + (0.004465) - (0.000000)
= 0.01 mm
Empty, Corroded, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 11/(π*533.49992*1104*1.2000) * 105
= 0.00 mm
tw = 0.6*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 0.6000*140/(2*π*533.4999*1104*1.2000) * 102
= 0.00 mm
tt = |tp + tm - tw| (total, net compressive)
= |0.000000 + 0.000968 - (0.001897)|
= 0.00 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 140/(2*π*533.4999*1104*1.2000) * 102
= 0.00 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.000968 + (0.003162) - (0.000000)
= 0.00 mm
Empty, New, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 11/(π*532.00002*1153*1.2000) * 105
= 0.00 mm
tw = 0.6*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 0.6000*174/(2*π*532.0000*1153*1.2000) * 102
= 0.00 mm
tt = |tp + tm - tw| (total, net compressive)
= |0.000000 + 0.000933 - (0.002258)|
= 0.00 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 174/(2*π*532.0000*1153*1.2000) * 102
= 0.00 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.000933 + (0.003763) - (0.000000)
ITEM NO. : DA-4302 19
= 0.00 mm
Vacuum, Wind, Bottom Seam
tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*932*1.2000 + 0.40*|1.0300|)
= -0.24 mm
tm = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 11/(π*533.49992*932*1.2000) * 105
= 0.00 mm
tw = 0.6*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 0.6000*140/(2*π*533.4999*932*1.2000) * 102
= 0.00 mm
tt = |tp + tm - tw| (total, netcompressive)
= |-0.242978 + 0.001130 - (0.002247)|
= 0.24 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 140/(2*π*533.4999*932*1.2000) * 102
= 0.00 mm
tc = tmc + twc - tpc(total required,compressive)
= 0.001130 + (0.003745) - (-0.242978)
= 0.25 mm
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 2/(π*533.49992*932*1.0000) * 105
= 0.00 mm
tw = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 140/(2*π*533.4999*932*1.0000) * 102
= 0.00 mm
tt = |tp + tm - tw| (total, netcompressive)
= |0.000000 + 0.000274 - (0.004494)|
= 0.00 mm
tc = tmc + twc - tpc(total required,compressive)
= 0.000274 + (0.004494) - (0.000000)
= 0.00 mm
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 226/(π*533.49992*1407*1.2000*0.85) * 105
= 0.02 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 140/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.00 mm
tt = tp + tm - tw (total required, tensile)
= 0.643430 + 0.017578 - (0.002920)
ITEM NO. : DA-4302 20
= 0.66 mm
twc = (1 + VAccel)*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.2000*140/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.00 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0.017578 + (0.003503) - (0.643430)|
= 0.62 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(11.0003-0.017578+(0.002920)) / (527.9997 - 0.40*(11.0003-0.017578+(0.002920)))
= 60.23 kg/cm2
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 231/(π*532.00002*1407*1.2000*0.85) * 105
= 0.02 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 174/(2*π*532.0000*1407*1.2000*0.85) * 102
= 0.00 mm
tt = tp + tm - tw (total required, tensile)
= 0.639775 + 0.018084 - (0.003628)
= 0.65 mm
twc = (1 + VAccel)*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 1.2000*174/(2*π*532.0000*1407*1.2000*0.85) * 102
= 0.00 mm
tc = |tmc + twc - tpc| (total, net tensile)
= |0.018084 + (0.004354) - (0.639775)|
= 0.62 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(14.0000-0.018084+(0.003628)) / (525.0000 - 0.40*(14.0000-0.018084+(0.003628)))
= 77.30 kg/cm2
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 226/(π*533.49992*1407*1.2000*0.85) * 105
= 0.02 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 140/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.00 mm
tt = tp + tm - tw (total required, tensile)
= 0.000000 + 0.017578 - (0.002920)
= 0.01 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 226/(π*533.49992*932*1.2000) * 105
= 0.02 mm
ITEM NO. : DA-4302 21
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*140/(2*π*533.4999*932*1.2000) * 102
= 0.00 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.022549 + (0.004494) - (0.000000)
= 0.03 mm
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 231/(π*532.00002*1407*1.2000*0.85) * 105
= 0.02 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 174/(2*π*532.0000*1407*1.2000*0.85) * 102
= 0.00 mm
tt = tp + tm - tw (total required, tensile)
= 0.000000 + 0.018084 - (0.003628)
= 0.01 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 231/(π*532.00002*972*1.2000) * 105
= 0.02 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*174/(2*π*532.0000*972*1.2000) * 102
= 0.01 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.022257 + (0.005358) - (0.000000)
= 0.03 mm
Empty, Corroded, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 218/(π*533.49992*1407*1.2000*0.85) * 105
= 0.02 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 140/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.00 mm
tt = tp + tm - tw (total required, tensile)
= 0.000000 + 0.016977 - (0.002920)
= 0.01 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 218/(π*533.49992*1104*1.2000) * 105
= 0.02 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*140/(2*π*533.4999*1104*1.2000) * 102
= 0.00 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.018386 + (0.003794) - (0.000000)
= 0.02 mm
Empty, New, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
ITEM NO. : DA-4302 22
= 223/(π*532.00002*1407*1.2000*0.85) * 105
= 0.02 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 174/(2*π*532.0000*1407*1.2000*0.85) * 102
= 0.00 mm
tt = tp + tm - tw (total required, tensile)
= 0.000000 + 0.017481 - (0.003628)
= 0.01 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 223/(π*532.00002*1153*1.2000) * 105
= 0.02 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*174/(2*π*532.0000*1153*1.2000) * 102
= 0.00 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.018133 + (0.004516) - (0.000000)
= 0.02 mm
Vacuum, Seismic, Bottom Seam
tp = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*932*1.2000 + 0.40*|1.0300|)
= -0.24 mm
tm = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 226/(π*533.49992*932*1.2000) * 105
= 0.02 mm
tw = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 140/(2*π*533.4999*932*1.2000) * 102
= 0.00 mm
tt = |tp + tm - tw| (total, netcompressive)
= |-0.242978 + 0.022549 - (0.003745)|
= 0.22 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*140/(2*π*533.4999*932*1.2000) * 102
= 0.00 mm
tc = tmc + twc - tpc(total required,compressive)
= 0.022549 + (0.004494) - (-0.242978)
= 0.27 mm
ITEM NO. : DA-4302 23
SHELL #1
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
Component: CylinderMaterial specification: SA-516 70 (II-D Metric p. 14, ln. 20)Material impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.4549112)Rated MDMT is governed by UCS-66(b)(2)UCS-66 governing thickness = 14 mm
Internal design pressure: P = 3.5 kg/cm2 @ 220°CExternal design pressure: Pe = 1.03 kg/cm2 @ 220°C
Static liquid head:
Ps =0.0000 kg/cm2 (SG=0.7070, Hs=0.00 mm Operating head)Pth =0.1354 kg/cm2 (SG=1.0000, Hs=1355.00 mm, Horizontal test head)
Corrosion allowance: Inner C = 3.00 mm Outer C = 0.00 mm
Design MDMT = -15.00°C No impact test performedRated MDMT = -48.00°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 - Spot UW-11(a)(5)b Type 1Bottom circumferential joint - Spot UW-11(a)(5)b Type 1
Estimated weight: New = 5100.3537 kg corr = 4018.8043 kgCapacity: New = 12048.1525 liters corr = 12186.2268 litersID = 1050.00 mmLength Lc = 13914.00 mmt = 14.00 mm
Insulation thk: 65.00 mm density: 250.0000 kg/m©ø Weight: 811.8982 kgInsulation SupportSpacing: 2000.00 mm Individual Support Weight:100.0000 kg Total Support
Weight: 600.0000 kg
Design thickness, (at 220.00°C) UG-27(c)(1)
t = P*R/(S*E - 0.60*P) + Corrosion= 3.50*528.00/(1407*0.85 - 0.60*3.50) + 3.00= 4.5491 mm
Maximum allowable working pressure, (at 220.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t) - Ps= 1407*0.85*11.0003 / (528.00 + 0.60*11.0003) - 0.0000= 24.6123 kg/cm2
Maximum allowable pressure, (at 20.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t)= 1407*0.85*14.0000 / (525.00 + 0.60*14.0000)= 31.3944 kg/cm2
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 28449.0015/1078.0000 = 26.3905Do/t = 1078.0000/9.622089 = 112.0339
From table G: A = 0.000091
From table CS-2 Metric: B = 86.5461kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*86.5461/(3*(1078.0000/9.622089))
= 1.0300 kg/cm©÷
ITEM NO. : DA-4302 24
Design thickness for external pressure Pa = 1.0300 kg/cm2
= t + Corrosion = 9.622089 + 3.00 = 12.62 mm
Maximum Allowable External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 28449.0015/1078.00 = 26.3905Do/t = 1078.00/11.0003 = 97.9977
From table G: A = 0.000116
From table CS-2 Metric: B = 110.5672kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*110.5672/(3*(1078.00/11.0003))
= 1.5044 kg/cm©÷
% Extreme fiber elongation - UCS-79(d)
= (50 * t / Rf) * (1 - Rf / Ro)= (50 * 14.00 / 532.0000) * (1 - 532.0000 / ∞)= 1.3158 %
External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104)
Pv = W / (2*π*Rm) + M / (π*Rm2)
= 22200.03 / (2*π*533.4998) + 22960.71 /(π*533.49982)
= 323.0110 kg/cm
α = Pv / (Pe*Do)
= 323.010966 / (1.0300*1078.0000)
= 2.9091
n = 2
m = 1.23 / (L/Do)2
= 1.23 / (28449.001489/1078.0000)2
= 0.0018
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
= (22 - 1 + 0.001766 + 0.001766*2.909118) / (22 -1 + 0.001766)
= 1.0017Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)
Pv = (1 + VAccel)*W / (2*π*Rm) + M / (π*Rm2)
= 1.2000*22200.03 / (2*π*533.4998) + 33991.68/ (π*533.49982)
= 459.6225 kg/cm
α = Pv / (Pe*Do)
= 459.622474 / (1.0300*1078.0000)
= 4.1395
n = 2
m = 1.23 / (L/Do)2
= 1.23 / (28449.001489/1078.0000)2
= 0.0018
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
= (22 - 1 + 0.001766 + 0.001766*4.139475) / (22 -1 + 0.001766)
= 1.0024Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
ITEM NO. : DA-4302 25
Design thickness = 12.62 mm
The governing condition is due to external pressure.
The cylinder thickness of 14.00 mm is adequate.
Thickness Required Due to Pressure + External Loads
Condition Pressure P (kg/cm2)
Allowable StressBefore UG-23 StressIncrease ( kg/cm2) Temperature (°C) Corrosion C
(mm) Load Req'd Thk Due toTension (mm)
Req'd Thk Dueto Compression
(mm)
St Sc
Operating, Hot & Corroded 3.50 1407.21 932.42 220.00 3.0000 Wind 2.1556 2.0616
Seismic 2.8305 3.2825
Operating, Hot & New 3.50 1407.21 971.90 220.00 0.0000 Wind 2.1362 2.0131
Seismic 2.9325 3.3525
Hot Shut Down, Corroded 0.00 1407.21 932.42 220.00 3.0000 Wind 1.5121 2.8868
Seismic 2.1871 4.1078
Hot Shut Down, New 0.00 1407.21 971.90 220.00 0.0000 Wind 1.4965 2.8004
Seismic 2.2927 4.1398
Empty, Corroded 0.00 1407.21 1104.47 -17.78 3.0000 Wind 1.5525 2.4575
Seismic 2.0923 3.3331
Empty, New 0.00 1407.21 1153.15 -17.78 0.0000 Wind 1.5359 2.3788
Seismic 2.1973 3.3594
Vacuum -1.03 1407.21 932.42 220.00 3.0000 Wind 1.3227 3.1298
Seismic 1.9977 4.3508
Hot Shut Down, Corroded, Weight &Eccentric Moments Only 0.00 1407.21 932.42 220.00 3.0000 Weight 0.5822 0.8384
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (539.0000 / 11.0003)
= 0.002551
B = 932.4219 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScHC = 932.4219 kg/cm©÷
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (539.0000 / 14.0000)
= 0.003247
B = 971.9001 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScHN = 971.9001 kg/cm©÷
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (539.0000 / 14.0000)
= 0.003247
B = 1153.1477 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScCN = 1153.1477 kg/cm©÷
ITEM NO. : DA-4302 26
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (539.0000 / 11.0003)
= 0.002551
B = 1104.4689 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScCC = 1104.4689 kg/cm©÷
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (539.0000 / 11.0003)
= 0.002551
B = 932.4219 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScVC = 932.4219 kg/cm©÷
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 22961/(π*533.49992*1407*1.2000*0.85) * 105
= 1.79 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*22200/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.28 mm
tt = tp + tm - tw(total required,tensile)
= 0.643430 + 1.788991 - (0.276842)
= 2.16 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*932*1.2000 + 0.40*|3.5000|)
= 0.83 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 22961/(π*533.49992*932*1.2000) * 105
= 2.29 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 22200/(2*π*533.4999*932*1.2000) * 102
= 0.59 mm
tc = tmc + twc - tpc(total required,compressive)
= 2.294950 + (0.591897) - (0.825290)
= 2.06 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(11.0003-1.788991+(0.461403)) / (527.9997 - 0.40*(11.0003-1.788991+(0.461403)))
= 52.98 kg/cm2
ITEM NO. : DA-4302 27
Operating, Hot & New, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 22826/(π*532.00002*1407*1.2000*0.85) * 105
= 1.79 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*23358/(2*π*532.0000*1407*1.2000*0.85) * 102
= 0.29 mm
tt = tp + tm - tw(total required,tensile)
= 0.639775 + 1.788573 - (0.292108)
= 2.14 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*972*1.2000 + 0.40*|3.5000|)
= 0.79 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 22826/(π*532.00002*972*1.2000) * 105
= 2.20 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 23358/(2*π*532.0000*972*1.2000) * 102
= 0.60 mm
tc = tmc + twc - tpc(total required,compressive)
= 2.201217 + (0.599167) - (0.787289)
= 2.01 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(14.0000-1.788574+(0.486846)) / (525.0000 - 0.40*(14.0000-1.788574+(0.486846)))
= 70.11 kg/cm2
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 22961/(π*533.49992*1407*1.2000*0.85) * 105
= 1.79 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*22200/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.28 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 1.788991 - (0.276842)
= 1.51 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 22961/(π*533.49992*932*1.2000) * 105
= 2.29 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 22200/(2*π*533.4999*932*1.2000) * 102
= 0.59 mm
tc = tmc + twc - tpc(total required,compressive)
ITEM NO. : DA-4302 28
= 2.294950 + (0.591897) - (0.000000)
= 2.89 mm
Hot Shut Down, New, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 22826/(π*532.00002*1407*1.2000*0.85) * 105
= 1.79 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*23358/(2*π*532.0000*1407*1.2000*0.85) * 102
= 0.29 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 1.788573 - (0.292108)
= 1.50 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 22826/(π*532.00002*972*1.2000) * 105
= 2.20 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 23358/(2*π*532.0000*972*1.2000) * 102
= 0.60 mm
tc = tmc + twc - tpc(total required,compressive)
= 2.201217 + (0.599167) - (0.000000)
= 2.80 mm
Empty, Corroded, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 23375/(π*533.49992*1407*1.2000*0.85) * 105
= 1.82 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*21552/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.27 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 1.821280 - (0.268764)
= 1.55 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 23375/(π*533.49992*1104*1.2000) * 105
= 1.97 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 21552/(2*π*533.4999*1104*1.2000) * 102
= 0.49 mm
tc = tmc + twc - tpc(total required,compressive)
= 1.972427 + (0.485114) - (0.000000)
= 2.46 mm
Empty, New, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 23227/(π*532.00002*1407*1.2000*0.85) * 105
= 1.82 mm
ITEM NO. : DA-4302 29
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*22711/(2*π*532.0000*1407*1.2000*0.85) * 102
= 0.28 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 1.819957 - (0.284007)
= 1.54 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 23227/(π*532.00002*1153*1.2000) * 105
= 1.89 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 22711/(2*π*532.0000*1153*1.2000) * 102
= 0.49 mm
tc = tmc + twc - tpc(total required,compressive)
= 1.887790 + (0.490987) - (0.000000)
= 2.38 mm
Vacuum, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1407*1.2000*0.85 + 0.40*|1.0300|)
= -0.19 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 22961/(π*533.49992*1407*1.2000*0.85) * 105
= 1.79 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*22200/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.28 mm
tt = tp + tm - tw(total required,tensile)
= -0.189417 + 1.788991 - (0.276842)
= 1.32 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*932*1.2000 + 0.40*|1.0300|)
= -0.24 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 22961/(π*533.49992*932*1.2000) * 105
= 2.29 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 22200/(2*π*533.4999*932*1.2000) * 102
= 0.59 mm
tc = tmc + twc - tpc(total required,compressive)
= 2.294950 + (0.591897) - (-0.242978)
= 3.13 mm
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 1068/(π*533.49992*932*1.0000) * 105
= 0.13 mm
tw = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 22200/(2*π*533.4999*932*1.0000) * 102
ITEM NO. : DA-4302 30
= 0.71 mm
tt = |tp + tm - tw| (total, net compressive)
= |0.000000 + 0.128102 - (0.710276)|
= 0.58 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.128102 + (0.710276) - (0.000000)
= 0.84 mm
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 33992/(π*533.49992*1407*1.2000*0.85) * 105
= 2.65 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 22200/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.46 mm
tt = tp + tm - tw(total required,tensile)
= 0.643430 + 2.648473 - (0.461403)
= 2.83 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*932*1.2000 + 0.40*|3.5000|)
= 0.83 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 33992/(π*533.49992*932*1.2000) * 105
= 3.40 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*22200/(2*π*533.4999*932*1.2000) * 102
= 0.71 mm
tc = tmc + twc - tpc(total required,compressive)
= 3.397509 + (0.710276) - (0.825290)
= 3.28 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(11.0003-2.648473+(0.461403)) / (527.9997 - 0.40*(11.0003-2.648473+(0.461403)))
= 48.24 kg/cm2
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 35474/(π*532.00002*1407*1.2000*0.85) * 105
= 2.78 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 23358/(2*π*532.0000*1407*1.2000*0.85) * 102
= 0.49 mm
tt = tp + tm - tw(total required,tensile)
ITEM NO. : DA-4302 31
= 0.639775 + 2.779551 - (0.486846)
= 2.93 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*972*1.2000 + 0.40*|3.5000|)
= 0.79 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 35474/(π*532.00002*972*1.2000) * 105
= 3.42 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*23358/(2*π*532.0000*972*1.2000) * 102
= 0.72 mm
tc = tmc + twc - tpc(total required,compressive)
= 3.420822 + (0.719000) - (0.787289)
= 3.35 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(14.0000-2.779551+(0.486846)) / (525.0000 - 0.40*(14.0000-2.779551+(0.486846)))
= 64.59 kg/cm2
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 33992/(π*533.49992*1407*1.2000*0.85) * 105
= 2.65 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 22200/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.46 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 2.648473 - (0.461403)
= 2.19 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 33992/(π*533.49992*932*1.2000) * 105
= 3.40 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*22200/(2*π*533.4999*932*1.2000) * 102
= 0.71 mm
tc = tmc + twc - tpc(total required,compressive)
= 3.397509 + (0.710276) - (0.000000)
= 4.11 mm
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 35474/(π*532.00002*1407*1.2000*0.85) * 105
= 2.78 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 23358/(2*π*532.0000*1407*1.2000*0.85) * 102
= 0.49 mm
tt = tp + tm - tw
ITEM NO. : DA-4302 32
(total required,tensile)
= 0.000000 + 2.779551 - (0.486846)
= 2.29 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 35474/(π*532.00002*972*1.2000) * 105
= 3.42 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*23358/(2*π*532.0000*972*1.2000) * 102
= 0.72 mm
tc = tmc + twc - tpc(total required,compressive)
= 3.420822 + (0.719000) - (0.000000)
= 4.14 mm
Empty, Corroded, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 32602/(π*533.49992*1407*1.2000*0.85) * 105
= 2.54 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 21552/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.45 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 2.540202 - (0.447939)
= 2.09 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 32602/(π*533.49992*1104*1.2000) * 105
= 2.75 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*21552/(2*π*533.4999*1104*1.2000) * 102
= 0.58 mm
tc = tmc + twc - tpc(total required,compressive)
= 2.751011 + (0.582136) - (0.000000)
= 3.33 mm
Empty, New, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 34084/(π*532.00002*1407*1.2000*0.85) * 105
= 2.67 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 22711/(2*π*532.0000*1407*1.2000*0.85) * 102
= 0.47 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 2.670638 - (0.473344)
= 2.20 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 34084/(π*532.00002*1153*1.2000) * 105
= 2.77 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
ITEM NO. : DA-4302 33
= 1.2000*22711/(2*π*532.0000*1153*1.2000) * 102
= 0.59 mm
tc = tmc + twc - tpc(total required,compressive)
= 2.770178 + (0.589184) - (0.000000)
= 3.36 mm
Vacuum, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1407*1.2000*0.85 + 0.40*|1.0300|)
= -0.19 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 33992/(π*533.49992*1407*1.2000*0.85) * 105
= 2.65 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 22200/(2*π*533.4999*1407*1.2000*0.85) * 102
= 0.46 mm
tt = tp + tm - tw (total required, tensile)
= -0.189417 + 2.648473 - (0.461403)
= 2.00 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*932*1.2000 + 0.40*|1.0300|)
= -0.24 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 33992/(π*533.49992*932*1.2000) * 105
= 3.40 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*22200/(2*π*533.4999*932*1.2000) * 102
= 0.71 mm
tc = tmc + twc - tpc (total required, compressive)
= 3.397509 + (0.710276) - (-0.242978)
= 4.35 mm
ITEM NO. : DA-4302 34
SHELL #2
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
Component: CylinderMaterial specification: SA-516 70 (II-D Metric p. 14, ln. 20)Material impact test exemption temperature from Fig UCS-66M Curve B = -14.81 °CFig UCS-66.1M MDMT reduction = 57.8 °C, (coincident ratio = 0.3849262)Rated MDMT is governed by UCS-66(b)(2)UCS-66 governing thickness = 16 mm
Internal design pressure: P = 3.5 kg/cm2 @ 220°CExternal design pressure: Pe = 1.03 kg/cm2 @ 220°C
Static liquid head:
Ps =0.0000 kg/cm2 (SG=0.7070, Hs=0.00 mm Operating head)Pth =0.1354 kg/cm2 (SG=1.0000, Hs=1355.00 mm, Horizontal test head)
Corrosion allowance: Inner C = 3.00 mm Outer C = 0.00 mm
Design MDMT = -15.00°C No impact test performedRated MDMT = -48.00°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 - Spot UW-11(a)(5)b Type 1Bottom circumferential joint - Spot UW-11(a)(5)b Type 1
Estimated weight: New = 2938.0086 kg corr = 2393.9006 kgCapacity: New = 6061.3097 liters corr = 6130.7734 litersID = 1050.00 mmLength Lc = 7000.00 mmt = 16.00 mm
Insulation thk: 65.00 mm density: 250.0000 kg/m©ø Weight: 409.8876 kgInsulation SupportSpacing: 2000.00 mm Individual Support Weight:100.0000 kg Total Support
Weight: 300.0000 kg
Design thickness, (at 220.00°C) UG-27(c)(1)
t = P*R/(S*E - 0.60*P) + Corrosion= 3.50*528.00/(1407*0.85 - 0.60*3.50) + 3.00= 4.5491 mm
Maximum allowable working pressure, (at 220.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t) - Ps= 1407*0.85*13.0003 / (528.00 + 0.60*13.0003) - 0.0000= 29.0220 kg/cm2
Maximum allowable pressure, (at 20.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t)= 1407*0.85*16.0000 / (525.00 + 0.60*16.0000)= 35.7988 kg/cm2
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 28449.0015/1081.9999 = 26.2930Do/t = 1081.9999/9.657711 = 112.0348
From table G: A = 0.000091
From table CS-2 Metric: B = 86.5469kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*86.5469/(3*(1081.9999/9.657711))
= 1.0300 kg/cm©÷
ITEM NO. : DA-4302 35
Design thickness for external pressure Pa = 1.0300 kg/cm2
= t + Corrosion = 9.657711 + 3.00 = 12.66 mm
Maximum Allowable External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 28449.0015/1082.00 = 26.2930Do/t = 1082.00/13.0003 = 83.2291
From table G: A = 0.000163
From table CS-2 Metric: B = 155.0189kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*155.0189/(3*(1082.00/13.0003))
= 2.4834 kg/cm©÷
% Extreme fiber elongation - UCS-79(d)
= (50 * t / Rf) * (1 - Rf / Ro)= (50 * 16.00 / 533.0000) * (1 - 533.0000 / ∞)= 1.5009 %
External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104)
Pv = W / (2*π*Rm) + M / (π*Rm2)
= 29828.14 / (2*π*534.4998) + 49328.78 /(π*534.49982)
= 638.4285 kg/cm
α = Pv / (Pe*Do)
= 638.428460 / (1.0300*1081.9999)
= 5.7286
n = 2
m = 1.23 / (L/Do)2
= 1.23 / (28449.001489/1081.9999)2
= 0.0018
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
= (22 - 1 + 0.001779 + 0.001779*5.728590) / (22 -1 + 0.001779)
= 1.0034Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)
Pv = (1 + VAccel)*W / (2*π*Rm) + M / (π*Rm2)
= 1.2000*29828.14 / (2*π*534.4998) + 64553.94/ (π*534.49982)
= 825.8275 kg/cm
α = Pv / (Pe*Do)
= 825.827546 / (1.0300*1081.9999)
= 7.4101
n = 2
m = 1.23 / (L/Do)2
= 1.23 / (28449.001489/1081.9999)2
= 0.0018
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
= (22 - 1 + 0.001779 + 0.001779*7.410114) / (22 -1 + 0.001779)
= 1.0044Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
ITEM NO. : DA-4302 36
Design thickness = 12.66 mm
The governing condition is due to external pressure.
The cylinder thickness of 16.00 mm is adequate.
Thickness Required Due to Pressure + External Loads
Condition Pressure P (kg/cm2)
Allowable StressBefore UG-23 StressIncrease ( kg/cm2) Temperature (°C) Corrosion C
(mm) Load Req'd Thk Due toTension (mm)
Req'd Thk Dueto Compression
(mm)
St Sc
Operating, Hot & Corroded 3.50 1407.21 961.95 220.00 3.0000 Wind 4.1013 4.7307
Seismic 5.0356 6.3541
Operating, Hot & New 3.50 1407.21 988.73 220.00 0.0000 Wind 4.0719 4.6482
Seismic 5.2478 6.5471
Hot Shut Down, Corroded 0.00 1407.21 961.95 220.00 3.0000 Wind 3.4578 5.5307
Seismic 4.3922 7.1541
Hot Shut Down, New 0.00 1407.21 988.73 220.00 0.0000 Wind 3.4321 5.4221
Seismic 4.6080 7.3210
Empty, Corroded 0.00 1407.21 1142.26 -17.78 3.0000 Wind 3.5432 4.7051
Seismic 4.1961 5.7620
Empty, New 0.00 1407.21 1171.55 -17.78 0.0000 Wind 3.5155 4.6202
Seismic 4.4109 5.9210
Vacuum -1.03 1407.21 961.95 220.00 3.0000 Wind 3.2684 5.7662
Seismic 4.2027 7.3896
Hot Shut Down, Corroded, Weight &Eccentric Moments Only 0.00 1407.21 961.95 220.00 3.0000 Weight 0.7533 1.0933
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (541.0000 / 13.0003)
= 0.003004
B = 961.9548 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScHC = 961.9548 kg/cm©÷
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (541.0000 / 16.0000)
= 0.003697
B = 988.7284 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScHN = 988.7284 kg/cm©÷
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (541.0000 / 16.0000)
= 0.003697
B = 1171.5548 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScCN = 1171.5548 kg/cm©÷
ITEM NO. : DA-4302 37
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (541.0000 / 13.0003)
= 0.003004
B = 1142.2573 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScCC = 1142.2573 kg/cm©÷
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (541.0000 / 13.0003)
= 0.003004
B = 961.9548 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScVC = 961.9548 kg/cm©÷
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 49329/(π*534.49982*1407*1.2000*0.85) * 105
= 3.83 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*29828/(2*π*534.4998*1407*1.2000*0.85) * 102
= 0.37 mm
tt = tp + tm - tw(total required,tensile)
= 0.643430 + 3.829100 - (0.371271)
= 4.10 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*962*1.2000 + 0.40*|3.5000|)
= 0.80 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 49329/(π*534.49982*962*1.2000) * 105
= 4.76 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 29828/(2*π*534.4998*962*1.2000) * 102
= 0.77 mm
tc = tmc + twc - tpc(total required,compressive)
= 4.761235 + (0.769419) - (0.799968)
= 4.73 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(13.0003-3.829100+(0.618785)) / (527.9997 - 0.40*(13.0003-3.829100+(0.618785)))
= 53.63 kg/cm2
ITEM NO. : DA-4302 38
Operating, Hot & New, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 49010/(π*533.00002*1407*1.2000*0.85) * 105
= 3.83 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*31542/(2*π*533.0000*1407*1.2000*0.85) * 102
= 0.39 mm
tt = tp + tm - tw(total required,tensile)
= 0.639775 + 3.825803 - (0.393705)
= 4.07 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*989*1.2000 + 0.40*|3.5000|)
= 0.77 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 49010/(π*533.00002*989*1.2000) * 105
= 4.63 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 31542/(2*π*533.0000*989*1.2000) * 102
= 0.79 mm
tc = tmc + twc - tpc(total required,compressive)
= 4.628319 + (0.793816) - (0.773897)
= 4.65 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(16.0000-3.825803+(0.656174)) / (525.0000 - 0.40*(16.0000-3.825803+(0.656174)))
= 70.85 kg/cm2
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 49329/(π*534.49982*1407*1.2000*0.85) * 105
= 3.83 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*29828/(2*π*534.4998*1407*1.2000*0.85) * 102
= 0.37 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 3.829100 - (0.371271)
= 3.46 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 49329/(π*534.49982*962*1.2000) * 105
= 4.76 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 29828/(2*π*534.4998*962*1.2000) * 102
= 0.77 mm
tc = tmc + twc - tpc(total required,compressive)
ITEM NO. : DA-4302 39
= 4.761235 + (0.769419) - (0.000000)
= 5.53 mm
Hot Shut Down, New, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 49010/(π*533.00002*1407*1.2000*0.85) * 105
= 3.83 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*31542/(2*π*533.0000*1407*1.2000*0.85) * 102
= 0.39 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 3.825803 - (0.393705)
= 3.43 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 49010/(π*533.00002*989*1.2000) * 105
= 4.63 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 31542/(2*π*533.0000*989*1.2000) * 102
= 0.79 mm
tc = tmc + twc - tpc(total required,compressive)
= 4.628319 + (0.793816) - (0.000000)
= 5.42 mm
Empty, Corroded, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 50235/(π*534.49982*1407*1.2000*0.85) * 105
= 3.90 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*28623/(2*π*534.4998*1407*1.2000*0.85) * 102
= 0.36 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 3.899426 - (0.356272)
= 3.54 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 50235/(π*534.49982*1142*1.2000) * 105
= 4.08 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 28623/(2*π*534.4998*1142*1.2000) * 102
= 0.62 mm
tc = tmc + twc - tpc(total required,compressive)
= 4.083329 + (0.621791) - (0.000000)
= 4.71 mm
Empty, New, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 49886/(π*533.00002*1407*1.2000*0.85) * 105
= 3.89 mm
ITEM NO. : DA-4302 40
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*30337/(2*π*533.0000*1407*1.2000*0.85) * 102
= 0.38 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 3.894155 - (0.378664)
= 3.52 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 49886/(π*533.00002*1172*1.2000) * 105
= 3.98 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 30337/(2*π*533.0000*1172*1.2000) * 102
= 0.64 mm
tc = tmc + twc - tpc(total required,compressive)
= 3.975834 + (0.644343) - (0.000000)
= 4.62 mm
Vacuum, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1407*1.2000*0.85 + 0.40*|1.0300|)
= -0.19 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 49329/(π*534.49982*1407*1.2000*0.85) * 105
= 3.83 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*29828/(2*π*534.4998*1407*1.2000*0.85) * 102
= 0.37 mm
tt = tp + tm - tw(total required,tensile)
= -0.189417 + 3.829100 - (0.371271)
= 3.27 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*962*1.2000 + 0.40*|1.0300|)
= -0.24 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 49329/(π*534.49982*962*1.2000) * 105
= 4.76 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 29828/(2*π*534.4998*962*1.2000) * 102
= 0.77 mm
tc = tmc + twc - tpc(total required,compressive)
= 4.761235 + (0.769419) - (-0.235520)
= 5.77 mm
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 1467/(π*534.49982*962*1.0000) * 105
= 0.17 mm
tw = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 29828/(2*π*534.4998*962*1.0000) * 102
ITEM NO. : DA-4302 41
= 0.92 mm
tt = |tp + tm - tw| (total, net compressive)
= |0.000000 + 0.169972 - (0.923303)|
= 0.75 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.169972 + (0.923303) - (0.000000)
= 1.09 mm
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 64554/(π*534.49982*1407*1.2000*0.85) * 105
= 5.01 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 29828/(2*π*534.4998*1407*1.2000*0.85) * 102
= 0.62 mm
tt = tp + tm - tw(total required,tensile)
= 0.643430 + 5.010939 - (0.618785)
= 5.04 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*962*1.2000 + 0.40*|3.5000|)
= 0.80 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 64554/(π*534.49982*962*1.2000) * 105
= 6.23 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*29828/(2*π*534.4998*962*1.2000) * 102
= 0.92 mm
tc = tmc + twc - tpc(total required,compressive)
= 6.230775 + (0.923303) - (0.799968)
= 6.35 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(13.0003-5.010939+(0.618785)) / (527.9997 - 0.40*(13.0003-5.010939+(0.618785)))
= 47.11 kg/cm2
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 67437/(π*533.00002*1407*1.2000*0.85) * 105
= 5.26 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 31542/(2*π*533.0000*1407*1.2000*0.85) * 102
= 0.66 mm
tt = tp + tm - tw(total required,tensile)
ITEM NO. : DA-4302 42
= 0.639775 + 5.264201 - (0.656174)
= 5.25 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*989*1.2000 + 0.40*|3.5000|)
= 0.77 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 67437/(π*533.00002*989*1.2000) * 105
= 6.37 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*31542/(2*π*533.0000*989*1.2000) * 102
= 0.95 mm
tc = tmc + twc - tpc(total required,compressive)
= 6.368442 + (0.952579) - (0.773897)
= 6.55 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(16.0000-5.264202+(0.656174)) / (525.0000 - 0.40*(16.0000-5.264202+(0.656174)))
= 62.84 kg/cm2
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 64554/(π*534.49982*1407*1.2000*0.85) * 105
= 5.01 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 29828/(2*π*534.4998*1407*1.2000*0.85) * 102
= 0.62 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 5.010939 - (0.618785)
= 4.39 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 64554/(π*534.49982*962*1.2000) * 105
= 6.23 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*29828/(2*π*534.4998*962*1.2000) * 102
= 0.92 mm
tc = tmc + twc - tpc(total required,compressive)
= 6.230775 + (0.923303) - (0.000000)
= 7.15 mm
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 67437/(π*533.00002*1407*1.2000*0.85) * 105
= 5.26 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 31542/(2*π*533.0000*1407*1.2000*0.85) * 102
= 0.66 mm
tt = tp + tm - tw
ITEM NO. : DA-4302 43
(total required,tensile)
= 0.000000 + 5.264201 - (0.656174)
= 4.61 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 67437/(π*533.00002*989*1.2000) * 105
= 6.37 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*31542/(2*π*533.0000*989*1.2000) * 102
= 0.95 mm
tc = tmc + twc - tpc(total required,compressive)
= 6.368442 + (0.952579) - (0.000000)
= 7.32 mm
Empty, Corroded, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 61706/(π*534.49982*1407*1.2000*0.85) * 105
= 4.79 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 28623/(2*π*534.4998*1407*1.2000*0.85) * 102
= 0.59 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 4.789907 - (0.593787)
= 4.20 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 61706/(π*534.49982*1142*1.2000) * 105
= 5.02 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*28623/(2*π*534.4998*1142*1.2000) * 102
= 0.75 mm
tc = tmc + twc - tpc(total required,compressive)
= 5.015806 + (0.746150) - (0.000000)
= 5.76 mm
Empty, New, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 64590/(π*533.00002*1407*1.2000*0.85) * 105
= 5.04 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 30337/(2*π*533.0000*1407*1.2000*0.85) * 102
= 0.63 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 5.041992 - (0.631106)
= 4.41 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 64590/(π*533.00002*1172*1.2000) * 105
= 5.15 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
ITEM NO. : DA-4302 44
= 1.2000*30337/(2*π*533.0000*1172*1.2000) * 102
= 0.77 mm
tc = tmc + twc - tpc(total required,compressive)
= 5.147747 + (0.773212) - (0.000000)
= 5.92 mm
Vacuum, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1407*1.2000*0.85 + 0.40*|1.0300|)
= -0.19 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 64554/(π*534.49982*1407*1.2000*0.85) * 105
= 5.01 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 29828/(2*π*534.4998*1407*1.2000*0.85) * 102
= 0.62 mm
tt = tp + tm - tw (total required, tensile)
= -0.189417 + 5.010939 - (0.618785)
= 4.20 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*962*1.2000 + 0.40*|1.0300|)
= -0.24 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 64554/(π*534.49982*962*1.2000) * 105
= 6.23 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*29828/(2*π*534.4998*962*1.2000) * 102
= 0.92 mm
tc = tmc + twc - tpc (total required, compressive)
= 6.230775 + (0.923303) - (-0.235520)
= 7.39 mm
ITEM NO. : DA-4302 45
SHELL #3
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
Component: CylinderMaterial specification: SA-516 70 (II-D Metric p. 14, ln. 20)Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.29436)
Internal design pressure: P = 3.5 kg/cm2 @ 220°CExternal design pressure: Pe = 1.03 kg/cm2 @ 220°C
Static liquid head:
Ps =0.0000 kg/cm2 (SG=0.7070, Hs=0.00 mm Operating head)Pth =0.1354 kg/cm2 (SG=1.0000, Hs=1355.00 mm, Horizontal test head)
Corrosion allowance: Inner C = 3.00 mm Outer C = 0.00 mm
Design MDMT = -15.00°C No impact test performedRated MDMT = -105.00°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 - Spot UW-11(a)(5)b Type 1Bottom circumferential joint - Spot UW-11(a)(5)b Type 1
Estimated weight: New = 1843.1457 kg corr = 1571.0916 kgCapacity: New = 3030.6549 liters corr = 3065.3867 litersID = 1050.00 mmLength Lc = 3500.00 mmt = 20.00 mm
Insulation thk: 65.00 mm density: 250.0000 kg/m©ø Weight: 206.3732 kgInsulation SupportSpacing: 2000.00 mm Individual Support Weight:100.0000 kg Total Support
Weight: 100.0000 kg
Design thickness, (at 220.00°C) UG-27(c)(1)
t = P*R/(S*E - 0.60*P) + Corrosion= 3.50*528.00/(1407*0.85 - 0.60*3.50) + 3.00= 4.5491 mm
Maximum allowable working pressure, (at 220.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t) - Ps= 1407*0.85*17.0003 / (528.00 + 0.60*17.0003) - 0.0000= 37.7824 kg/cm2
Maximum allowable pressure, (at 20.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t)= 1407*0.85*20.0000 / (525.00 + 0.60*20.0000)= 44.5485 kg/cm2
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 28449.0015/1089.9999 = 26.1000Do/t = 1089.9999/9.728941 = 112.0368
From table G: A = 0.000091
From table CS-2 Metric: B = 86.5483kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*86.5483/(3*(1089.9999/9.728941))
= 1.0300 kg/cm©÷
Design thickness for external pressure Pa = 1.0300 kg/cm2
= t + Corrosion = 9.728941 + 3.00 = 12.73 mm
ITEM NO. : DA-4302 46
Maximum Allowable External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 28449.0015/1090.00 = 26.1000Do/t = 1090.00/17.0003 = 64.1167
From table G: A = 0.000280
From table CS-2 Metric: B = 268.0764kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*268.0764/(3*(1090.00/17.0003))
= 5.5748 kg/cm©÷
% Extreme fiber elongation - UCS-79(d)
= (50 * t / Rf) * (1 - Rf / Ro)= (50 * 20.00 / 535.0000) * (1 - 535.0000 / ∞)= 1.8692 %
External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104)
Pv = W / (2*π*Rm) + M / (π*Rm2)
= 31605.60 / (2*π*536.4999) + 65770.80 /(π*536.49992)
= 821.1103 kg/cm
α = Pv / (Pe*Do)
= 821.110299 / (1.0300*1089.9999)
= 7.3137
n = 2
m = 1.23 / (L/Do)2
= 1.23 / (28449.001489/1089.9999)2
= 0.0018
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
= (22 - 1 + 0.001806 + 0.001806*7.313712) / (22 -1 + 0.001806)
= 1.0044Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)
Pv = (1 + VAccel)*W / (2*π*Rm) + M / (π*Rm2)
= 1.2000*31605.60 / (2*π*536.4999) + 82180.49/ (π*536.49992)
= 1021.3349 kg/cm
α = Pv / (Pe*Do)
= 1021.334859 / (1.0300*1089.9999)
= 9.0971
n = 2
m = 1.23 / (L/Do)2
= 1.23 / (28449.001489/1089.9999)2
= 0.0018
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
= (22 - 1 + 0.001806 + 0.001806*9.097132) / (22 -1 + 0.001806)
= 1.0055Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
Design thickness = 12.73 mm
The governing condition is due to external pressure.
ITEM NO. : DA-4302 47
The cylinder thickness of 20.00 mm is adequate.
Thickness Required Due to Pressure + External Loads
Condition Pressure P (kg/cm2)
Allowable StressBefore UG-23 StressIncrease ( kg/cm2) Temperature (°C) Corrosion C
(mm) Load Req'd Thk Due toTension (mm)
Req'd Thk Dueto Compression
(mm)
St Sc
Operating, Hot & Corroded 3.50 1407.21 995.72 220.00 3.0000 Wind 5.3189 6.0992
Seismic 6.3219 7.7749
Operating, Hot & New 3.50 1407.21 1016.96 220.00 0.0000 Wind 5.2837 6.0199
Seismic 6.5960 8.0546
Hot Shut Down, Corroded 0.00 1407.21 995.72 220.00 3.0000 Wind 4.6755 6.8720
Seismic 5.6785 8.5477
Hot Shut Down, New 0.00 1407.21 1016.96 220.00 0.0000 Wind 4.6440 6.7723
Seismic 5.9562 8.8070
Empty, Corroded 0.00 1407.21 1179.19 -17.78 3.0000 Wind 4.7842 5.8726
Seismic 5.4158 6.8957
Empty, New 0.00 1407.21 1201.56 -17.78 0.0000 Wind 4.7501 5.7977
Seismic 5.6921 7.1365
Vacuum -1.03 1407.21 995.72 220.00 3.0000 Wind 4.4861 7.0995
Seismic 5.4891 8.7753
Hot Shut Down, Corroded, Weight &Eccentric Moments Only 0.00 1407.21 995.72 220.00 3.0000 Weight 0.7786 1.1046
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (545.0000 / 17.0003)
= 0.003899
B = 995.7181 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScHC = 995.7181 kg/cm©÷
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (545.0000 / 20.0000)
= 0.004587
B = 1016.9616 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScHN = 1016.9616 kg/cm©÷
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (545.0000 / 20.0000)
= 0.004587
B = 1201.5561 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScCN = 1201.5561 kg/cm©÷
ITEM NO. : DA-4302 48
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (545.0000 / 17.0003)
= 0.003899
B = 1179.1926 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScCC = 1179.1926 kg/cm©÷
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (545.0000 / 17.0003)
= 0.003899
B = 995.7181 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScVC = 995.7181 kg/cm©÷
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 65771/(π*536.49992*1407*1.2000*0.85) * 105
= 5.07 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*31606/(2*π*536.4999*1407*1.2000*0.85) * 102
= 0.39 mm
tt = tp + tm - tw(total required,tensile)
= 0.643430 + 5.067402 - (0.391929)
= 5.32 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*996*1.2000 + 0.40*|3.5000|)
= 0.77 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 65771/(π*536.49992*996*1.2000) * 105
= 6.09 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 31606/(2*π*536.4999*996*1.2000) * 102
= 0.78 mm
tc = tmc + twc - tpc(total required,compressive)
= 6.087327 + (0.784688) - (0.772858)
= 6.10 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(17.0003-5.067402+(0.653215)) / (527.9997 - 0.40*(17.0003-5.067402+(0.653215)))
= 69.09 kg/cm2
ITEM NO. : DA-4302 49
Operating, Hot & New, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 65330/(π*535.00002*1407*1.2000*0.85) * 105
= 5.06 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*33591/(2*π*535.0000*1407*1.2000*0.85) * 102
= 0.42 mm
tt = tp + tm - tw(total required,tensile)
= 0.639775 + 5.061674 - (0.417719)
= 5.28 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1017*1.2000 + 0.40*|3.5000|)
= 0.75 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 65330/(π*535.00002*1017*1.2000) * 105
= 5.95 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 33591/(2*π*535.0000*1017*1.2000) * 102
= 0.82 mm
tc = tmc + twc - tpc(total required,compressive)
= 5.953430 + (0.818854) - (0.752424)
= 6.02 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(20.0000-5.061674+(0.696199)) / (525.0000 - 0.40*(20.0000-5.061674+(0.696199)))
= 86.52 kg/cm2
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 65771/(π*536.49992*1407*1.2000*0.85) * 105
= 5.07 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*31606/(2*π*536.4999*1407*1.2000*0.85) * 102
= 0.39 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 5.067402 - (0.391929)
= 4.68 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 65771/(π*536.49992*996*1.2000) * 105
= 6.09 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 31606/(2*π*536.4999*996*1.2000) * 102
= 0.78 mm
tc = tmc + twc - tpc(total required,compressive)
ITEM NO. : DA-4302 50
= 6.087327 + (0.784688) - (0.000000)
= 6.87 mm
Hot Shut Down, New, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 65330/(π*535.00002*1407*1.2000*0.85) * 105
= 5.06 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*33591/(2*π*535.0000*1407*1.2000*0.85) * 102
= 0.42 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 5.061674 - (0.417719)
= 4.64 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 65330/(π*535.00002*1017*1.2000) * 105
= 5.95 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 33591/(2*π*535.0000*1017*1.2000) * 102
= 0.82 mm
tc = tmc + twc - tpc(total required,compressive)
= 5.953430 + (0.818854) - (0.000000)
= 6.77 mm
Empty, Corroded, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 66988/(π*536.49992*1407*1.2000*0.85) * 105
= 5.16 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*30401/(2*π*536.4999*1407*1.2000*0.85) * 102
= 0.38 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 5.161185 - (0.376986)
= 4.78 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 66988/(π*536.49992*1179*1.2000) * 105
= 5.24 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 30401/(2*π*536.4999*1179*1.2000) * 102
= 0.64 mm
tc = tmc + twc - tpc(total required,compressive)
= 5.235309 + (0.637334) - (0.000000)
= 5.87 mm
Empty, New, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 66506/(π*535.00002*1407*1.2000*0.85) * 105
= 5.15 mm
ITEM NO. : DA-4302 51
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*32386/(2*π*535.0000*1407*1.2000*0.85) * 102
= 0.40 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 5.152821 - (0.402735)
= 4.75 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 66506/(π*535.00002*1202*1.2000) * 105
= 5.13 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 32386/(2*π*535.0000*1202*1.2000) * 102
= 0.67 mm
tc = tmc + twc - tpc(total required,compressive)
= 5.129543 + (0.668192) - (0.000000)
= 5.80 mm
Vacuum, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1407*1.2000*0.85 + 0.40*|1.0300|)
= -0.19 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 65771/(π*536.49992*1407*1.2000*0.85) * 105
= 5.07 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*31606/(2*π*536.4999*1407*1.2000*0.85) * 102
= 0.39 mm
tt = tp + tm - tw(total required,tensile)
= -0.189417 + 5.067402 - (0.391929)
= 4.49 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*996*1.2000 + 0.40*|1.0300|)
= -0.23 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 65771/(π*536.49992*996*1.2000) * 105
= 6.09 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 31606/(2*π*536.4999*996*1.2000) * 102
= 0.78 mm
tc = tmc + twc - tpc(total required,compressive)
= 6.087327 + (0.784688) - (-0.227535)
= 7.10 mm
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 1467/(π*536.49992*996*1.0000) * 105
= 0.16 mm
tw = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 31606/(2*π*536.4999*996*1.0000) * 102
ITEM NO. : DA-4302 52
= 0.94 mm
tt = |tp + tm - tw| (total, net compressive)
= |0.000000 + 0.162987 - (0.941626)|
= 0.78 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.162987 + (0.941626) - (0.000000)
= 1.10 mm
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 82180/(π*536.49992*1407*1.2000*0.85) * 105
= 6.33 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 31606/(2*π*536.4999*1407*1.2000*0.85) * 102
= 0.65 mm
tt = tp + tm - tw(total required,tensile)
= 0.643430 + 6.331709 - (0.653215)
= 6.32 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*996*1.2000 + 0.40*|3.5000|)
= 0.77 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 82180/(π*536.49992*996*1.2000) * 105
= 7.61 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*31606/(2*π*536.4999*996*1.2000) * 102
= 0.94 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.606104 + (0.941626) - (0.772858)
= 7.77 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(17.0003-6.331709+(0.653215)) / (527.9997 - 0.40*(17.0003-6.331709+(0.653215)))
= 62.09 kg/cm2
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 85861/(π*535.00002*1407*1.2000*0.85) * 105
= 6.65 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 33591/(2*π*535.0000*1407*1.2000*0.85) * 102
= 0.70 mm
tt = tp + tm - tw(total required,tensile)
ITEM NO. : DA-4302 53
= 0.639775 + 6.652389 - (0.696199)
= 6.60 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1017*1.2000 + 0.40*|3.5000|)
= 0.75 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 85861/(π*535.00002*1017*1.2000) * 105
= 7.82 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*33591/(2*π*535.0000*1017*1.2000) * 102
= 0.98 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.824394 + (0.982625) - (0.752424)
= 8.05 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(20.0000-6.652389+(0.696199)) / (525.0000 - 0.40*(20.0000-6.652389+(0.696199)))
= 77.62 kg/cm2
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 82180/(π*536.49992*1407*1.2000*0.85) * 105
= 6.33 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 31606/(2*π*536.4999*1407*1.2000*0.85) * 102
= 0.65 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 6.331709 - (0.653215)
= 5.68 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 82180/(π*536.49992*996*1.2000) * 105
= 7.61 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*31606/(2*π*536.4999*996*1.2000) * 102
= 0.94 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.606104 + (0.941626) - (0.000000)
= 8.55 mm
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 85861/(π*535.00002*1407*1.2000*0.85) * 105
= 6.65 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 33591/(2*π*535.0000*1407*1.2000*0.85) * 102
= 0.70 mm
tt = tp + tm - tw
ITEM NO. : DA-4302 54
(total required,tensile)
= 0.000000 + 6.652389 - (0.696199)
= 5.96 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 85861/(π*535.00002*1017*1.2000) * 105
= 7.82 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*33591/(2*π*535.0000*1017*1.2000) * 102
= 0.98 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.824394 + (0.982625) - (0.000000)
= 8.81 mm
Empty, Corroded, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 78448/(π*536.49992*1407*1.2000*0.85) * 105
= 6.04 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 30401/(2*π*536.4999*1407*1.2000*0.85) * 102
= 0.63 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 6.044143 - (0.628310)
= 5.42 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 78448/(π*536.49992*1179*1.2000) * 105
= 6.13 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*30401/(2*π*536.4999*1179*1.2000) * 102
= 0.76 mm
tc = tmc + twc - tpc(total required,compressive)
= 6.130948 + (0.764800) - (0.000000)
= 6.90 mm
Empty, New, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 82130/(π*535.00002*1407*1.2000*0.85) * 105
= 6.36 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 32386/(2*π*535.0000*1407*1.2000*0.85) * 102
= 0.67 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 6.363369 - (0.671224)
= 5.69 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 82130/(π*535.00002*1202*1.2000) * 105
= 6.33 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
ITEM NO. : DA-4302 55
= 1.2000*32386/(2*π*535.0000*1202*1.2000) * 102
= 0.80 mm
tc = tmc + twc - tpc(total required,compressive)
= 6.334622 + (0.801830) - (0.000000)
= 7.14 mm
Vacuum, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1407*1.2000*0.85 + 0.40*|1.0300|)
= -0.19 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 82180/(π*536.49992*1407*1.2000*0.85) * 105
= 6.33 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 31606/(2*π*536.4999*1407*1.2000*0.85) * 102
= 0.65 mm
tt = tp + tm - tw (total required, tensile)
= -0.189417 + 6.331709 - (0.653215)
= 5.49 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*996*1.2000 + 0.40*|1.0300|)
= -0.23 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 82180/(π*536.49992*996*1.2000) * 105
= 7.61 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*31606/(2*π*536.4999*996*1.2000) * 102
= 0.94 mm
tc = tmc + twc - tpc (total required, compressive)
= 7.606104 + (0.941626) - (-0.227535)
= 8.78 mm
ITEM NO. : DA-4302 56
SHELL #4
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
Component: CylinderMaterial specification: SA-516 70 (II-D Metric p. 14, ln. 20)Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25289)
Internal design pressure: P = 3.5 kg/cm2 @ 220°CExternal design pressure: Pe = 1.03 kg/cm2 @ 220°C
Static liquid head:
Ps =0.1413 kg/cm2 (SG=0.7070, Hs=2000.00 mm Operating head)Pth =0.1354 kg/cm2 (SG=1.0000, Hs=1355.00 mm, Horizontal test head)
Corrosion allowance: Inner C = 3.00 mm Outer C = 0.00 mm
Design MDMT = -15.00°C No impact test performedRated MDMT = -105.00°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 - Spot UW-11(a)(5)b Type 1Bottom circumferential joint - Spot UW-11(a)(5)b Type 1
Estimated weight: New = 2296.8212 kg corr = 2002.8472 kgCapacity: New = 3274.8393 liters corr = 3312.3695 litersID = 1050.00 mmLength Lc = 3782.00 mmt = 23.00 mm
Insulation thk: 65.00 mm density: 250.0000 kg/m©ø Weight: 224.1595 kgInsulation SupportSpacing: 2000.00 mm Individual Support Weight:100.0000 kg Total Support
Weight: 100.0000 kg
Design thickness, (at 220.00°C) UG-27(c)(1)
t = P*R/(S*E - 0.60*P) + Corrosion= 3.64*528.00/(1407*0.85 - 0.60*3.64) + 3.00= 4.6101 mm
Maximum allowable working pressure, (at 220.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t) - Ps= 1407*0.85*20.0003 / (528.00 + 0.60*20.0003) - 0.1413= 44.1603 kg/cm2
Maximum allowable pressure, (at 20.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t)= 1407*0.85*23.0000 / (525.00 + 0.60*23.0000)= 51.0597 kg/cm2
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 28449.0015/1096.0000 = 25.9571Do/t = 1096.0000/9.782382 = 112.0381
From table G: A = 0.000091
From table CS-2 Metric: B = 86.5497kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*86.5497/(3*(1096.0000/9.782382))
= 1.0300 kg/cm©÷
Design thickness for external pressure Pa = 1.0300 kg/cm2
= t + Corrosion = 9.782382 + 3.00 = 12.78 mm
ITEM NO. : DA-4302 57
Maximum Allowable External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 28449.0015/1096.00 = 25.9571Do/t = 1096.00/20.0003 = 54.7993
From table G: A = 0.000377
From table CS-2 Metric: B = 362.4747kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*362.4747/(3*(1096.00/20.0003))
= 8.8195 kg/cm©÷
% Extreme fiber elongation - UCS-79(d)
= (50 * t / Rf) * (1 - Rf / Ro)= (50 * 23.00 / 536.5000) * (1 - 536.5000 / ∞)= 2.1435 %
External Pressure + Weight + Wind Loading Check (Bergman, ASME paper 54-A-104)
Pv = W / (2*π*Rm) + M / (π*Rm2)
= 37558.64 / (2*π*537.9999) + 86327.93 /(π*537.99992)
= 1060.4822 kg/cm
α = Pv / (Pe*Do)
= 1060.482176 / (1.0300*1096.0000)
= 9.3941
n = 2
m = 1.23 / (L/Do)2
= 1.23 / (28449.001489/1096.0000)2
= 0.0018
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
= (22 - 1 + 0.001826 + 0.001826*9.394110) / (22 -1 + 0.001826)
= 1.0057Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)
Pv = (1 + VAccel)*W / (2*π*Rm) + M / (π*Rm2)
= 1.2000*37558.64 / (2*π*537.9999) + 102850.18/ (π*537.99992)
= 1264.4039 kg/cm
α = Pv / (Pe*Do)
= 1264.403893 / (1.0300*1096.0000)
= 11.2005
n = 2
m = 1.23 / (L/Do)2
= 1.23 / (28449.001489/1096.0000)2
= 0.0018
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
= (22 - 1 + 0.001826 + 0.001826*11.200517) / (22 -1 + 0.001826)
= 1.0068Ratio Pe * Pe ≤ MAEP design cylinder thickness is satisfactory.
Required thickness, largest of the following + corrosion = 13.59 mm
The governing condition is due to seismic at the Bottom seam in condition: Vacuum
ITEM NO. : DA-4302 58
The cylinder thickness of 23.00 mm is adequate.
Thickness Required Due to Pressure + External Loads
Condition Pressure P (kg/cm2)
Allowable StressBefore UG-23 StressIncrease ( kg/cm2) Temperature (°C) Corrosion C
(mm) Load Req'd Thk Due toTension (mm)
Req'd Thk Dueto Compression
(mm)
St Sc
Operating, Hot & Corroded 3.50 1407.21 1016.24 220.00 3.0000 Wind 6.7932 7.9389
Seismic 7.7495 9.6111
Operating, Hot & New 3.50 1407.21 1032.91 220.00 0.0000 Wind 6.7520 7.8633
Seismic 8.0949 9.9907
Hot Shut Down, Corroded 0.00 1407.21 1016.24 220.00 3.0000 Wind 6.1498 8.6961
Seismic 7.1060 10.3683
Hot Shut Down, New 0.00 1407.21 1032.91 220.00 0.0000 Wind 6.1122 8.6041
Seismic 7.4551 10.7315
Empty, Corroded 0.00 1407.21 1200.80 -17.78 3.0000 Wind 6.2938 7.4459
Seismic 6.7726 8.3640
Empty, New 0.00 1407.21 1214.07 -17.78 0.0000 Wind 6.2529 7.4022
Seismic 7.1201 8.7223
Vacuum -1.03 1407.21 1016.24 220.00 3.0000 Wind 5.9603 8.9191
Seismic 6.9166 10.5913
Hot Shut Down, Corroded, Weight &Eccentric Moments Only 0.00 1407.21 1016.24 220.00 3.0000 Weight 0.8933 1.2934
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (548.0000 / 20.0003)
= 0.004562
B = 1016.2405 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScHC = 1016.2405 kg/cm©÷
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (548.0000 / 23.0000)
= 0.005246
B = 1032.9141 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScHN = 1032.9141 kg/cm©÷
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (548.0000 / 23.0000)
= 0.005246
B = 1214.0676 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScCN = 1214.0676 kg/cm©÷
ITEM NO. : DA-4302 59
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (548.0000 / 20.0003)
= 0.004562
B = 1200.8033 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScCC = 1200.8033 kg/cm©÷
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (548.0000 / 20.0003)
= 0.004562
B = 1016.2405 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScVC = 1016.2405 kg/cm©÷
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 86328/(π*537.99992*1407*1.2000*0.85) * 105
= 6.61 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*37559/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.46 mm
tt = tp + tm - tw(total required,tensile)
= 0.643430 + 6.614217 - (0.464452)
= 6.79 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1016*1.2000 + 0.40*|3.5000|)
= 0.76 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 86328/(π*537.99992*1016*1.2000) * 105
= 7.79 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1016*1.2000) * 102
= 0.91 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.785018 + (0.911109) - (0.757260)
= 7.94 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(20.0003-6.614217+(0.774086)) / (527.9997 - 0.40*(20.0003-6.614217+(0.774086)))
= 77.82 kg/cm2
ITEM NO. : DA-4302 60
Operating, Hot & New, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 85746/(π*536.50002*1407*1.2000*0.85) * 105
= 6.61 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*39853/(2*π*536.5000*1407*1.2000*0.85) * 102
= 0.49 mm
tt = tp + tm - tw(total required,tensile)
= 0.639775 + 6.606418 - (0.494205)
= 6.75 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1033*1.2000 + 0.40*|3.5000|)
= 0.74 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 85746/(π*536.50002*1033*1.2000) * 105
= 7.65 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 39853/(2*π*536.5000*1033*1.2000) * 102
= 0.95 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.650318 + (0.953826) - (0.740810)
= 7.86 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(23.0000-6.606418+(0.823675)) / (525.0000 - 0.40*(23.0000-6.606418+(0.823675)))
= 95.40 kg/cm2
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 86328/(π*537.99992*1407*1.2000*0.85) * 105
= 6.61 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*37559/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.46 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 6.614217 - (0.464452)
= 6.15 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 86328/(π*537.99992*1016*1.2000) * 105
= 7.79 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1016*1.2000) * 102
= 0.91 mm
tc = tmc + twc - tpc(total required,compressive)
ITEM NO. : DA-4302 61
= 7.785018 + (0.911109) - (0.000000)
= 8.70 mm
Hot Shut Down, New, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 85746/(π*536.50002*1407*1.2000*0.85) * 105
= 6.61 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*39853/(2*π*536.5000*1407*1.2000*0.85) * 102
= 0.49 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 6.606418 - (0.494205)
= 6.11 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 85746/(π*536.50002*1033*1.2000) * 105
= 7.65 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 39853/(2*π*536.5000*1033*1.2000) * 102
= 0.95 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.650318 + (0.953826) - (0.000000)
= 8.60 mm
Empty, Corroded, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 87927/(π*537.99992*1407*1.2000*0.85) * 105
= 6.74 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*35819/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.44 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 6.736740 - (0.442938)
= 6.29 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 87927/(π*537.99992*1201*1.2000) * 105
= 6.71 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 35819/(2*π*537.9999*1201*1.2000) * 102
= 0.74 mm
tc = tmc + twc - tpc(total required,compressive)
= 6.710510 + (0.735356) - (0.000000)
= 7.45 mm
Empty, New, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 87292/(π*536.50002*1407*1.2000*0.85) * 105
= 6.73 mm
ITEM NO. : DA-4302 62
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*38114/(2*π*536.5000*1407*1.2000*0.85) * 102
= 0.47 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 6.725496 - (0.472632)
= 6.25 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 87292/(π*536.50002*1214*1.2000) * 105
= 6.63 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 38114/(2*π*536.5000*1214*1.2000) * 102
= 0.78 mm
tc = tmc + twc - tpc(total required,compressive)
= 6.626116 + (0.776080) - (0.000000)
= 7.40 mm
Vacuum, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1407*1.2000*0.85 + 0.40*|1.0300|)
= -0.19 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 86328/(π*537.99992*1407*1.2000*0.85) * 105
= 6.61 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*37559/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.46 mm
tt = tp + tm - tw(total required,tensile)
= -0.189417 + 6.614217 - (0.464452)
= 5.96 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1016*1.2000 + 0.40*|1.0300|)
= -0.22 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 86328/(π*537.99992*1016*1.2000) * 105
= 7.79 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1016*1.2000) * 102
= 0.91 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.785018 + (0.911109) - (-0.222941)
= 8.92 mm
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 1848/(π*537.99992*1016*1.0000) * 105
= 0.20 mm
tw = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1016*1.0000) * 102
ITEM NO. : DA-4302 63
= 1.09 mm
tt = |tp + tm - tw| (total, net compressive)
= |0.000000 + 0.200031 - (1.093331)|
= 0.89 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.200031 + (1.093331) - (0.000000)
= 1.29 mm
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 102850/(π*537.99992*1407*1.2000*0.85) * 105
= 7.88 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.77 mm
tt = tp + tm - tw(total required,tensile)
= 0.643430 + 7.880108 - (0.774086)
= 7.75 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1016*1.2000 + 0.40*|3.5000|)
= 0.76 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 102850/(π*537.99992*1016*1.2000) * 105
= 9.27 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*37559/(2*π*537.9999*1016*1.2000) * 102
= 1.09 mm
tc = tmc + twc - tpc(total required,compressive)
= 9.274987 + (1.093331) - (0.757260)
= 9.61 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(20.0003-7.880108+(0.774086)) / (527.9997 - 0.40*(20.0003-7.880108+(0.774086)))
= 70.80 kg/cm2
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 107452/(π*536.50002*1407*1.2000*0.85) * 105
= 8.28 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 39853/(2*π*536.5000*1407*1.2000*0.85) * 102
= 0.82 mm
tt = tp + tm - tw(total required,tensile)
ITEM NO. : DA-4302 64
= 0.639775 + 8.278776 - (0.823675)
= 8.09 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1033*1.2000 + 0.40*|3.5000|)
= 0.74 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 107452/(π*536.50002*1033*1.2000) * 105
= 9.59 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*39853/(2*π*536.5000*1033*1.2000) * 102
= 1.14 mm
tc = tmc + twc - tpc(total required,compressive)
= 9.586931 + (1.144592) - (0.740810)
= 9.99 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(23.0000-8.278776+(0.823675)) / (525.0000 - 0.40*(23.0000-8.278776+(0.823675)))
= 86.02 kg/cm2
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 102850/(π*537.99992*1407*1.2000*0.85) * 105
= 7.88 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.77 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 7.880108 - (0.774086)
= 7.11 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 102850/(π*537.99992*1016*1.2000) * 105
= 9.27 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*37559/(2*π*537.9999*1016*1.2000) * 102
= 1.09 mm
tc = tmc + twc - tpc(total required,compressive)
= 9.274987 + (1.093331) - (0.000000)
= 10.37 mm
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 107452/(π*536.50002*1407*1.2000*0.85) * 105
= 8.28 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 39853/(2*π*536.5000*1407*1.2000*0.85) * 102
= 0.82 mm
tt = tp + tm - tw
ITEM NO. : DA-4302 65
(total required,tensile)
= 0.000000 + 8.278776 - (0.823675)
= 7.46 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 107452/(π*536.50002*1033*1.2000) * 105
= 9.59 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*39853/(2*π*536.5000*1033*1.2000) * 102
= 1.14 mm
tc = tmc + twc - tpc(total required,compressive)
= 9.586931 + (1.144592) - (0.000000)
= 10.73 mm
Empty, Corroded, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 98031/(π*537.99992*1407*1.2000*0.85) * 105
= 7.51 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 35819/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.74 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 7.510846 - (0.738231)
= 6.77 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 98031/(π*537.99992*1201*1.2000) * 105
= 7.48 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*35819/(2*π*537.9999*1201*1.2000) * 102
= 0.88 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.481603 + (0.882427) - (0.000000)
= 8.36 mm
Empty, New, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 102637/(π*536.50002*1407*1.2000*0.85) * 105
= 7.91 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 38114/(2*π*536.5000*1407*1.2000*0.85) * 102
= 0.79 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 7.907833 - (0.787719)
= 7.12 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 102637/(π*536.50002*1214*1.2000) * 105
= 7.79 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
ITEM NO. : DA-4302 66
= 1.2000*38114/(2*π*536.5000*1214*1.2000) * 102
= 0.93 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.790983 + (0.931296) - (0.000000)
= 8.72 mm
Vacuum, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1407*1.2000*0.85 + 0.40*|1.0300|)
= -0.19 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 102850/(π*537.99992*1407*1.2000*0.85) * 105
= 7.88 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.77 mm
tt = tp + tm - tw (total required, tensile)
= -0.189417 + 7.880108 - (0.774086)
= 6.92 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1016*1.2000 + 0.40*|1.0300|)
= -0.22 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 102850/(π*537.99992*1016*1.2000) * 105
= 9.27 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*37559/(2*π*537.9999*1016*1.2000) * 102
= 1.09 mm
tc = tmc + twc - tpc (total required, compressive)
= 9.274987 + (1.093331) - (-0.222941)
= 10.59 mm
ITEM NO. : DA-4302 67
Straight Flange on BOTTOM HEAD
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
Component: Straight FlangeMaterial specification: SA-516 70 (II-D Metric p. 14, ln. 20)Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25268)
Internal design pressure: P = 3.5 kg/cm2 @ 220°CExternal design pressure: Pe = 1.03 kg/cm2 @ 220°C
Static liquid head:
Ps =0.1440 kg/cm2 (SG=0.7070, Hs=2038.00 mm Operating head)Pth =0.1354 kg/cm2 (SG=1.0000, Hs=1355.00 mm, Horizontal test head)
Corrosion allowance: Inner C = 3.00 mm Outer C = 0.00 mm
Design MDMT = -15.00°C No impact test performedRated MDMT = -105.00°C Material is not normalized
Material is not produced to Fine Grain PracticePWHT is not performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1Circumferential joint - Spot UW-11(a)(5)b Type 1
Estimated weight: New = 23.0775 kg corr = 20.1238 kgCapacity: New = 32.9043 liters corr = 33.2813 litersID = 1050.00 mmLength Lc = 38.00 mmt = 23.00 mm
Insulation thk: 65.00 mm density: 250.0000 kg/m©ø Weight: 0.0000 kg
Design thickness, (at 220.00°C) UG-27(c)(1)
t = P*R/(S*E - 0.60*P) + Corrosion= 3.64*528.00/(1407*1.00 - 0.60*3.64) + 3.00= 4.3713 mm
Maximum allowable working pressure, (at 220.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t) - Ps= 1407*1.00*20.0003 / (528.00 + 0.60*20.0003) - 0.1440= 51.9756 kg/cm2
Maximum allowable pressure, (at 20.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t)= 1407*1.00*23.0000 / (525.00 + 0.60*23.0000)= 60.0702 kg/cm2
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 28449.0015/1096.0000 = 25.9571Do/t = 1096.0000/9.782382 = 112.0381
From table G: A = 0.000091
From table CS-2 Metric: B = 86.5497kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*86.5497/(3*(1096.0000/9.782382))
= 1.0300 kg/cm©÷
Design thickness for external pressure Pa = 1.0300 kg/cm2
= t + Corrosion = 9.782382 + 3.00 = 12.78 mm
ITEM NO. : DA-4302 68
Maximum Allowable External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 28449.0015/1096.00 = 25.9571Do/t = 1096.00/20.0003 = 54.7993
From table G: A = 0.000377
From table CS-2 Metric: B = 362.4747kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*362.4747/(3*(1096.00/20.0003))
= 8.8195 kg/cm©÷
% Extreme fiber elongation - UCS-79(d)
= (50 * t / Rf) * (1 - Rf / Ro)= (50 * 23.00 / 536.5000) * (1 - 536.5000 / ∞)= 2.1435 %
Required thickness, largest of the following + corrosion = 13.61 mm
The governing condition is due to seismic at the Bottom seam in condition: Vacuum
The cylinder thickness of 23.00 mm is adequate.
Thickness Required Due to Pressure + External Loads
Condition Pressure P (kg/cm2)
Allowable StressBefore UG-23 StressIncrease ( kg/cm2) Temperature (°C) Corrosion C
(mm) Load Req'd Thk Due toTension (mm)
Req'd Thk Dueto Compression
(mm)
St Sc
Operating, Hot & Corroded 3.50 1407.21 1016.24 220.00 3.0000 Wind 6.8105 7.9592
Seismic 7.7663 9.6309
Operating, Hot & New 3.50 1407.21 1032.91 220.00 0.0000 Wind 6.7693 7.8833
Seismic 8.1126 10.0113
Hot Shut Down, Corroded 0.00 1407.21 1016.24 220.00 3.0000 Wind 6.1671 8.7165
Seismic 7.1229 10.3882
Hot Shut Down, New 0.00 1407.21 1032.91 220.00 0.0000 Wind 6.1295 8.6242
Seismic 7.4728 10.7521
Empty, Corroded 0.00 1407.21 1200.80 -17.78 3.0000 Wind 6.3114 7.4634
Seismic 6.7885 8.3798
Empty, New 0.00 1407.21 1214.07 -17.78 0.0000 Wind 6.2705 7.4195
Seismic 7.1368 8.7388
Vacuum -1.03 1407.21 1016.24 220.00 3.0000 Wind 5.9777 8.9394
Seismic 6.9335 10.6111
Hot Shut Down, Corroded, Weight &Eccentric Moments Only 0.00 1407.21 1016.24 220.00 3.0000 Weight 0.8933 1.2934
Allowable Compressive Stress, Hot and Corroded- ScHC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (548.0000 / 20.0003)
= 0.004562
B = 1016.2405 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScHC = 1016.2405 kg/cm©÷
ITEM NO. : DA-4302 69
Allowable Compressive Stress, Hot and New- ScHN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (548.0000 / 23.0000)
= 0.005246
B = 1032.9141 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScHN = 1032.9141 kg/cm©÷
Allowable Compressive Stress, Cold and New- ScCN, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (548.0000 / 23.0000)
= 0.005246
B = 1214.0676 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScCN = 1214.0676 kg/cm©÷
Allowable Compressive Stress, Cold and Corroded- ScCC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (548.0000 / 20.0003)
= 0.004562
B = 1200.8033 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScCC = 1200.8033 kg/cm©÷
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table CS-2 Metric)
A = 0.125 / (Ro / t)
= 0.125 / (548.0000 / 20.0003)
= 0.004562
B = 1016.2405 kg/cm©÷
S = 1407.2093 / 1.0000
= 1407.2093 kg/cm©÷
ScVC = 1016.2405 kg/cm©÷
Operating, Hot & Corroded, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 86554/(π*537.99992*1407*1.2000*0.85) * 105
= 6.63 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*37559/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.46 mm
tt = tp + tm - tw(total required,tensile)
= 0.643430 + 6.631534 - (0.464452)
= 6.81 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1016*1.2000 + 0.40*|3.5000|)
= 0.76 mm
ITEM NO. : DA-4302 70
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 86554/(π*537.99992*1016*1.2000) * 105
= 7.81 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1016*1.2000) * 102
= 0.91 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.805400 + (0.911109) - (0.757260)
= 7.96 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(20.0003-6.631534+(0.774086)) / (527.9997 - 0.40*(20.0003-6.631534+(0.774086)))
= 77.73 kg/cm2
Operating, Hot & New, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 85970/(π*536.50002*1407*1.2000*0.85) * 105
= 6.62 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*39853/(2*π*536.5000*1407*1.2000*0.85) * 102
= 0.49 mm
tt = tp + tm - tw(total required,tensile)
= 0.639775 + 6.623702 - (0.494205)
= 6.77 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1033*1.2000 + 0.40*|3.5000|)
= 0.74 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 85970/(π*536.50002*1033*1.2000) * 105
= 7.67 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 39853/(2*π*536.5000*1033*1.2000) * 102
= 0.95 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.670333 + (0.953826) - (0.740810)
= 7.88 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(23.0000-6.623702+(0.823675)) / (525.0000 - 0.40*(23.0000-6.623702+(0.823675)))
= 95.30 kg/cm2
Hot Shut Down, Corroded, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 86554/(π*537.99992*1407*1.2000*0.85) * 105
ITEM NO. : DA-4302 71
= 6.63 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*37559/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.46 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 6.631534 - (0.464452)
= 6.17 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 86554/(π*537.99992*1016*1.2000) * 105
= 7.81 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1016*1.2000) * 102
= 0.91 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.805400 + (0.911109) - (0.000000)
= 8.72 mm
Hot Shut Down, New, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 85970/(π*536.50002*1407*1.2000*0.85) * 105
= 6.62 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*39853/(2*π*536.5000*1407*1.2000*0.85) * 102
= 0.49 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 6.623702 - (0.494205)
= 6.13 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 85970/(π*536.50002*1033*1.2000) * 105
= 7.67 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 39853/(2*π*536.5000*1033*1.2000) * 102
= 0.95 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.670333 + (0.953826) - (0.000000)
= 8.62 mm
Empty, Corroded, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 88157/(π*537.99992*1407*1.2000*0.85) * 105
= 6.75 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*35819/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.44 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 6.754384 - (0.442938)
= 6.31 mm
ITEM NO. : DA-4302 72
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 88157/(π*537.99992*1201*1.2000) * 105
= 6.73 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 35819/(2*π*537.9999*1201*1.2000) * 102
= 0.74 mm
tc = tmc + twc - tpc(total required,compressive)
= 6.728085 + (0.735356) - (0.000000)
= 7.46 mm
Empty, New, Wind, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 87520/(π*536.50002*1407*1.2000*0.85) * 105
= 6.74 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*38114/(2*π*536.5000*1407*1.2000*0.85) * 102
= 0.47 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 6.743098 - (0.472632)
= 6.27 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 87520/(π*536.50002*1214*1.2000) * 105
= 6.64 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 38114/(2*π*536.5000*1214*1.2000) * 102
= 0.78 mm
tc = tmc + twc - tpc(total required,compressive)
= 6.643459 + (0.776080) - (0.000000)
= 7.42 mm
Vacuum, Wind, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1407*1.2000*0.85 + 0.40*|1.0300|)
= -0.19 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 86554/(π*537.99992*1407*1.2000*0.85) * 105
= 6.63 mm
tw = 0.6*W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 0.6000*37559/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.46 mm
tt = tp + tm - tw(total required,tensile)
= -0.189417 + 6.631534 - (0.464452)
= 5.98 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1016*1.2000 + 0.40*|1.0300|)
= -0.22 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 86554/(π*537.99992*1016*1.2000) * 105
ITEM NO. : DA-4302 73
= 7.81 mm
twc = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1016*1.2000) * 102
= 0.91 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.805400 + (0.911109) - (-0.222941)
= 8.94 mm
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 1848/(π*537.99992*1016*1.0000) * 105
= 0.20 mm
tw = W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1016*1.0000) * 102
= 1.09 mm
tt = |tp + tm - tw| (total, net compressive)
= |0.000000 + 0.200031 - (1.093331)|
= 0.89 mm
tc = tmc + twc - tpc (total required, compressive)
= 0.200031 + (1.093331) - (0.000000)
= 1.29 mm
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 103071/(π*537.99992*1407*1.2000*0.85) * 105
= 7.90 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.77 mm
tt = tp + tm - tw(total required,tensile)
= 0.643430 + 7.896992 - (0.774086)
= 7.77 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*527.9997/(2*1016*1.2000 + 0.40*|3.5000|)
= 0.76 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 103071/(π*537.99992*1016*1.2000) * 105
= 9.29 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*37559/(2*π*537.9999*1016*1.2000) * 102
= 1.09 mm
tc = tmc + twc - tpc(total required,compressive)
= 9.294859 + (1.093331) - (0.757260)
= 9.63 mm
ITEM NO. : DA-4302 74
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(20.0003-7.896992+(0.774086)) / (527.9997 - 0.40*(20.0003-7.896992+(0.774086)))
= 70.70 kg/cm2
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1407*1.2000*0.85 + 0.40*|3.5000|)
= 0.64 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 107682/(π*536.50002*1407*1.2000*0.85) * 105
= 8.30 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 39853/(2*π*536.5000*1407*1.2000*0.85) * 102
= 0.82 mm
tt = tp + tm - tw(total required,tensile)
= 0.639775 + 8.296512 - (0.823675)
= 8.11 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= 3.50*525.0000/(2*1033*1.2000 + 0.40*|3.5000|)
= 0.74 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 107682/(π*536.50002*1033*1.2000) * 105
= 9.61 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*39853/(2*π*536.5000*1033*1.2000) * 102
= 1.14 mm
tc = tmc + twc - tpc(total required,compressive)
= 9.607470 + (1.144592) - (0.740810)
= 10.01 mm
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t-tm+tw) / (R - 0.40*(t-tm+tw))
= 2*1407*1.2000*0.85*(23.0000-8.296513+(0.823675)) / (525.0000 - 0.40*(23.0000-8.296513+(0.823675)))
= 85.92 kg/cm2
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 103071/(π*537.99992*1407*1.2000*0.85) * 105
= 7.90 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.77 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 7.896992 - (0.774086)
= 7.12 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 103071/(π*537.99992*1016*1.2000) * 105
= 9.29 mm
ITEM NO. : DA-4302 75
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*37559/(2*π*537.9999*1016*1.2000) * 102
= 1.09 mm
tc = tmc + twc - tpc(total required,compressive)
= 9.294859 + (1.093331) - (0.000000)
= 10.39 mm
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 107682/(π*536.50002*1407*1.2000*0.85) * 105
= 8.30 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 39853/(2*π*536.5000*1407*1.2000*0.85) * 102
= 0.82 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 8.296512 - (0.823675)
= 7.47 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 107682/(π*536.50002*1033*1.2000) * 105
= 9.61 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*39853/(2*π*536.5000*1033*1.2000) * 102
= 1.14 mm
tc = tmc + twc - tpc(total required,compressive)
= 9.607470 + (1.144592) - (0.000000)
= 10.75 mm
Empty, Corroded, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 98238/(π*537.99992*1407*1.2000*0.85) * 105
= 7.53 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 35819/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.74 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 7.526719 - (0.738231)
= 6.79 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 98238/(π*537.99992*1201*1.2000) * 105
= 7.50 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*35819/(2*π*537.9999*1201*1.2000) * 102
= 0.88 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.497414 + (0.882427) - (0.000000)
= 8.38 mm
ITEM NO. : DA-4302 76
Empty, New, Seismic, Bottom Seam
tp = 0.00 mm (Pressure)
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 102854/(π*536.50002*1407*1.2000*0.85) * 105
= 7.92 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 38114/(2*π*536.5000*1407*1.2000*0.85) * 102
= 0.79 mm
tt = tp + tm - tw(total required,tensile)
= 0.000000 + 7.924558 - (0.787719)
= 7.14 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 102854/(π*536.50002*1214*1.2000) * 105
= 7.81 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*38114/(2*π*536.5000*1214*1.2000) * 102
= 0.93 mm
tc = tmc + twc - tpc(total required,compressive)
= 7.807461 + (0.931296) - (0.000000)
= 8.74 mm
Vacuum, Seismic, Bottom Seam
tp = P*R/(2*St*Ks*Ec + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1407*1.2000*0.85 + 0.40*|1.0300|)
= -0.19 mm
tm = M/(π*Rm2*St*Ks*Ec) * MetricFactor (bending)
= 103071/(π*537.99992*1407*1.2000*0.85) * 105
= 7.90 mm
tw = W/(2*π*Rm*St*Ks*Ec) * MetricFactor (Weight)
= 37559/(2*π*537.9999*1407*1.2000*0.85) * 102
= 0.77 mm
tt = tp + tm - tw (total required, tensile)
= -0.189417 + 7.896992 - (0.774086)
= 6.93 mm
tpc = P*R/(2*Sc*Ks + 0.40*|P|) (Pressure)
= -1.03*527.9997/(2*1016*1.2000 + 0.40*|1.0300|)
= -0.22 mm
tmc = M/(π*Rm2*Sc*Ks) * MetricFactor (bending)
= 103071/(π*537.99992*1016*1.2000) * 105
= 9.29 mm
twc = (1 + VAccel)*W/(2*π*Rm*Sc*Ks) * MetricFactor (Weight)
= 1.2000*37559/(2*π*537.9999*1016*1.2000) * 102
= 1.09 mm
tc = tmc + twc - tpc (total required, compressive)
= 9.294859 + (1.093331) - (-0.222941)
= 10.61 mm
ITEM NO. : DA-4302 77
BOTTOM HEAD
ASME Section VIII, Division 1, 2004 Edition, A06 Addenda Metric
Component: Ellipsoidal HeadMaterial Specification: SA-516 70 (II-D Metric p.14, ln. 20)Material is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.30433)
Internal design pressure: P = 3.5 kg/cm2 @ 220 °CExternal design pressure: Pe = 1.03 kg/cm2 @ 220 °C
Static liquid head:
Ps= 0.1627 kg/cm2 (SG=0.707, Hs=2303.5 mm Operating head)Pth= 0.1354 kg/cm2 (SG=1, Hs=1355 mm Horizontal test head)
Corrosion allowance: Inner C = 3 mm Outer C = 0 mm
Design MDMT = -15°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 - Full UW-11(a) Type 1 Head to shell seam - Spot UW-11(a)(5)(b) Type 1
Estimated weight*: new = 222.9 kg corr = 190.5 kgCapacity*: new = 184.4 liters corr = 188.3 liters* includes straight flange
Inner diameter = 1050 mmMinimum head thickness = 19.55 mmHead ratio D/2h = 2 (new)Head ratio D/2h = 1.9887 (corroded)Straight flange length Lsf = 38 mmNominal straight flange thickness tsf = 23 mm
Insulation thk*: 65 mm density: 250 kg/m3 weight: 25.9627 kgInsulation support ring spacing: 2,000.00 mm individual weight: 100 kg total weight: 100 kgLining/ref thk*: 0 mm density: 0 kg/m3 weight: 0 kg* includes straight flange if applicable
Results Summary
The governing condition is external pressure.Minimum thickness per UG-16 = 1.5 mm + 3 mm = 4.5 mmDesign thickness due to internal pressure (t) = 4.37 mmDesign thickness due to external pressure (te) = 5.77 mmMaximum allowable working pressure (MAWP) = 44.1404 kg/cm2
Maximum allowable pressure (MAP) = 52.2073 kg/cm2
Maximum allowable external pressure (MAEP) = 15.8121 kg/cm2
K (Corroded)
K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (1056 / (2*265.5))2]=0.992489
K (New)
K=(1/6)*[2 + (D / (2*h))2]=(1/6)*[2 + (1050 / (2*262.5))2]=1
Design thickness for internal pressure, (Corroded at 220 °C) Appendix 1-4(c)
t = P*D*K / (2*S*E - 0.20*P) + Corrosion= 3.6627*1056*0.992489 / (2*1407.207*1 - 0.20*3.6627) + 3= 4.36 mm
The head internal pressure design thickness is 4.37 mm.
ITEM NO. : DA-4302 78
Maximum allowable working pressure, (Corroded at 220 °C) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0.20*t) - Ps= 2*1407.207*1*16.55 / (0.992489*1056 +0.20*16.55) - 0.1627= 44.1404 kg/cm2
The maximum allowable working pressure (MAWP) is 44.1404 kg/cm2.
Maximum allowable pressure, (New at 20 °C) Appendix 1-4(c)
P = 2*S*E*t / (K*D + 0.20*t) - Ps= 2*1407.207*1*19.55 / (1*1050 +0.20*19.55) - 0= 52.2073 kg/cm2
The maximum allowable pressure (MAP) is 52.2073 kg/cm2.
Design thickness for external pressure, (Corroded at 220 °C) UG-33(d)
Equivalent outside spherical radius (Ro)Ro = Ko*Do
= 0.8688 * 1089.1= 946.22 mm
A = 0.125 / (Ro/t)= 0.125 / (946.22/2.77)= 0.000366
From Table CS-2 Metric: B=351.5794 kg/cm2
Pa = B/(Ro/t)= 351.5794/(946.22/2.77)
= 1.03 kg/cm2
t = 2.77 mm + Corrosion = 2.77 mm + 3 mm = 5.77 mmCheck the external pressure per UG-33(a)(1) Appendix 1-4(c)
t = 1.67*Pe*D*K / (2*S*E - 0.20*1.67*Pe) + Corrosion= 1.67*1.03*1056*0.992489 / (2*1407.207*1 - 0.20*1.67*1.03) + 3= 3.64 mm
The head external pressure design thickness (te) is 5.77 mm.
Maximum Allowable External Pressure, (Corroded at 220 °C) UG-33(d)
Equivalent outside spherical radius (Ro)Ro = Ko*Do
= 0.8688 * 1089.1= 946.22 mm
A = 0.125 / (Ro/t)= 0.125 / (946.22/16.55)= 0.002186
From Table CS-2 Metric: B=904.0160 kg/cm2
Pa = B/(Ro/t)= 904.016/(946.22/16.55)
= 15.8121 kg/cm2
Check the Maximum External Pressure, UG-33(a)(1) Appendix 1-4(c)
P = 2*S*E*t / ((K*D + 0.20*t)*1.67) - Ps2= 2*1407.207*1*16.55 / ((0.992489*1056 +0.20*16.55)*1.67) - 0= 26.5288 kg/cm2
The maximum allowable external pressure (MAEP) is 15.8121 kg/cm2.
ITEM NO. : DA-4302 79
% Extreme fiber elongation - UCS-79(d)
= (75*t / Rf)*(1 - Rf / Ro)
= (75*23 / 190)*(1 - 190 / ϒ⊆)
= 9.0789%
The extreme fiber elongation exceeds 5 percent and the thickness exceeds 16 mm;. Heat treatment per UCS-56 is required if fabricated bycold forming.
ITEM NO. : DA-4302 80
FEED INLET (N1)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 14.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 180.00 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #1
Liquid static head included: 0 kg/cm2
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 5)
Nozzle longitudinal joint efficiency: 1.00
Nozzle description: 3" Sch 160 DN 80
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 180 mm
Flange description: 3 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 90°
Local vessel minimum thickness: 14 mm
Nozzle center line offset to datum line: 15200 mm
End of nozzle to shell center: 700 mm
Nozzle inside diameter, new: 66.65 mm
Nozzle nominal wall thickness: 11.13 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 161 mm
Pad is split: no
ITEM NO. : DA-4302 81
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary(cm2)
For P = 13.47 kg/cm2 @ 220 °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) 7.80 9.73
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 pad fillet (Leg41) 5.69 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 5.69 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.05978).
Pad impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.45446)Rated MDMT is governed by UCS-66(b)(2).
Nozzle UCS-66 governing thk: 9.73 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -48 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 72.65 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4708*36.32/(1203.264*1 - 0.6*13.4708)
= 0.41 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4708*528/(1407.207*1 - 0.6*13.4708)
= 5.08 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
ITEM NO. : DA-4302 82
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 8.13 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 5.69 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 3.41 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.08 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 7.8 mm
The greater of tr2 or tr3: tr5 = 8.08 mm
The lesser of tr4 or tr5: tr6 = 7.8 mm
ITEM NO. : DA-4302 83
Required per UG-45 is the larger of tr1 or tr6 = 7.8 mm
Available nozzle wall thickness new, tn = 0.8750*11.13 = 9.73 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary(cm2)
For P = 20.04 kg/cm2 @ 20 °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) 4.80 9.73
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.79 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 66.65 mm
Normal to the vessel wall outside: 2.5*(t - C) = 35 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*33.32/(1203.264*1 - 0.6*20.0375)
= 0.56 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11.13 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
ITEM NO. : DA-4302 84
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 0.56 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 4.8 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
The lesser of tr4 or tr5: tr6 = 4.8 mm
ITEM NO. : DA-4302 85
Required per UG-45 is the larger of tr1 or tr6 = 4.8 mm
Available nozzle wall thickness new, tn = 0.8750*11.13 = 9.73 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2)For Pe = 1.5 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
4.1253 12.2062 -- 3.6174 -- 7.8959 0.6929 4.50 9.73
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 pad fillet (Leg41) 5.69 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 5.69 14.00 weld size is adequate
Calculations for external pressure 1.5 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 72.65 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-28 trn = 0.43 mm
From UG-37(d)(1) required thickness tr = 11 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= 0.5*(72.65*11*1 + 2*8.13*11*1*(1 - 0.8551))
= 4.1253 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
ITEM NO. : DA-4302 86
= 72.65*(1*11 - 1*11) - 2*8.13*(1*11 - 1*11)*(1 - 0.8551)
= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 8.13)*(1*11 - 1*11) - 2*8.13*(1*11 - 1*11)*(1 - 0.8551)
= 0 cm2
A2 = smaller of the following= 3.6174 cm2
= 5*(tn - trn)*fr2*t
= 5*(8.13 - 0.43)*0.8551*11
= 3.6174 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(8.13 - 0.43)*(2.5*8.13 + 14)*0.8551
= 4.5135 cm2
A41 = Leg2*fr3= 92*0.8551
= 0.6929 cm2
A42 = Leg2*fr4= 02*1
= 0 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (145.3 - 72.65 - 2*8.13)*14*1
= 7.8959 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 3.6174 + 0.6929 + 0 + 7.8959
= 12.2062 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 8.13 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 5.69 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 3.43 mm
Wall thickness per UG-45(b)(2): tr2 = 3.56 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 7.8 mm
The greater of tr2 or tr3: tr5 = 4.5 mm
The lesser of tr4 or tr5: tr6 = 4.5 mm
Required per UG-45 is the larger of tr1 or tr6 = 4.5 mm
Available nozzle wall thickness new, tn = 0.8750*11.13 = 9.73 mm
The nozzle neck thickness is adequate.
ITEM NO. : DA-4302 87
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 162.8360/88.9000 = 1.8317Do/t = 88.9000/0.433581 = 205.0365
From table G: A = 0.000242
From table CS-2 Metric: B = 231.3455kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*231.3455/(3*(88.9000/0.433581))
= 1.5044 kg/cm©÷
Design thickness for external pressure Pa = 1.5044 kg/cm2
= t + Corrosion = 0.433581 + 3.00 = 3.43 mm
ITEM NO. : DA-4302 88
VAPOR OUTLET (N2)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 14.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 400.01 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #1
Liquid static head included: 0 kg/cm2
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 5)
Nozzle longitudinal joint efficiency: 1.00
Nozzle description: 8" Sch 80 (XS) DN 200
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 400.01 mm
Flange description: 8 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 90°
Local vessel minimum thickness: 14 mm
Nozzle center line offset to datum line: 28020 mm
End of nozzle to shell center: 730 mm
Nozzle inside diameter, new: 193.68 mm
Nozzle nominal wall thickness: 12.7 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 191 mm
Pad is split: no
ITEM NO. : DA-4302 89
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary (cm2)For P = 13.47 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
10.2935 41.6120 11.6477 4.0329 -- 25.2385 0.6929 8.08 11.11
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-524 42,166 70,196 9,218 107,848 44,734 82,744
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 6.79 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1364).
Pad impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.45446)Rated MDMT is governed by UCS-66(b)(2).
Nozzle UCS-66 governing thk: 11.11 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -48 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 199.68 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4708*99.84/(1203.264*1 - 0.6*13.4708)
= 1.13 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4708*528/(1407.207*1 - 0.6*13.4708)
= 5.08 mm
Area required per UG-37(c)
ITEM NO. : DA-4302 90
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 199.68*5.08*1 + 2*9.7*5.08*1*(1 - 0.8551)
= 10.2935 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 11.6477 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 199.68*(1*11 - 1*5.08) - 2*9.7*(1*11 - 1*5.08)*(1 - 0.8551)
= 11.6477 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 9.7)*(1*11 - 1*5.08) - 2*9.7*(1*11 - 1*5.08)*(1 - 0.8551)
= 2.2832 cm2
A2 = smaller of the following= 4.0329 cm2
= 5*(tn - trn)*fr2*t
= 5*(9.7 - 1.13)*0.8551*11
= 4.0329 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(9.7 - 1.13)*(2.5*9.7 + 14)*0.8551
= 5.609 cm2
A41 = Leg2*fr3= 92*0.8551
= 0.6929 cm2
A42 = Leg2*fr4= 02*1
= 0 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (399.35 - 199.68 - 2*9.7)*14*1
= 25.2385 cm2
Area = A1 + A2 + A41 + A42 + A5
= 11.6477 + 4.0329 + 0.6929 + 0 + 25.2385
= 41.612 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 9.7 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
ITEM NO. : DA-4302 91
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 4.13 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.08 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 10.16 mm
The greater of tr2 or tr3: tr5 = 8.08 mm
The lesser of tr4 or tr5: tr6 = 8.08 mm
Required per UG-45 is the larger of tr1 or tr6 = 8.08 mm
Available nozzle wall thickness new, tn = 0.8750*12.7 = 11.11 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1203.264 = 842.285 kg/cm2
Inner fillet weld in shear: 0.49*1203.264 = 589.599 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*219.08*9*589.599 = 18260.5 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*400.01*10*689.532 = 43325.13 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*209.38*9.7*842.285 = 26870.5 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*219.08*11*1041.333 = 39419.02 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*219.08*14*1041.333 = 50168.48 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (1029.349 - 1164.772 + 2*9.7*0.8551*(1*11 - 1*5.08))*1407.207
= -524.48 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (403.2895 + 2523.85 + 69.2902 + 0)*1407.207
= 42166.01 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (403.2895 + 0 + 69.2902 + 0 + 2*9.7*11*0.8551)*1407.207
= 9218.09 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (403.2895 + 0 + 2523.85 + 69.2902 + 0 + 0 + 2*9.7*11*0.8551)*1407.207
= 44733.92 kgf
ITEM NO. : DA-4302 92
Load for path 1-1 lesser of W or W1-1 = -524.48 kgfPath 1-1 through (2) & (3) = 43325.13 + 26870.5 = 70195.63 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = -524.48 kgfPath 2-2 through (1), (4), (6) = 18260.5 + 39419.02 + 50168.48 = 107848 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -524.48 kgfPath 3-3 through (2), (4) = 43325.13 + 39419.02 = 82744.15 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary (cm2)For P = 20.04 kg/cm2 @ 20 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
14.8806 43.1520 12.2735 6.6271 -- 23.5585 0.6929 7.16 11.11
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
5,643 43,452 78,002 14,580 118,597 47,731 93,494
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 8.89 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 193.68 mm
Normal to the vessel wall outside: 2.5*(t - C) = 35 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*96.84/(1203.264*1 - 0.6*20.0375)
= 1.63 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
Area required per UG-37(c)
ITEM NO. : DA-4302 93
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 193.68*7.54*1 + 2*12.7*7.54*1*(1 - 0.8551)
= 14.8806 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 12.2735 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 193.68*(1*14 - 1*7.54) - 2*12.7*(1*14 - 1*7.54)*(1 - 0.8551)
= 12.2735 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(14 + 12.7)*(1*14 - 1*7.54) - 2*12.7*(1*14 - 1*7.54)*(1 - 0.8551)
= 3.2116 cm2
A2 = smaller of the following= 6.6271 cm2
= 5*(tn - trn)*fr2*t
= 5*(12.7 - 1.63)*0.8551*14
= 6.6271 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(12.7 - 1.63)*(2.5*12.7 + 14)*0.8551
= 8.6626 cm2
A41 = Leg2*fr3= 92*0.8551
= 0.6929 cm2
A42 = Leg2*fr4= 02*1
= 0 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (387.35 - 193.68 - 2*12.7)*14*1
= 23.5585 cm2
Area = A1 + A2 + A41 + A42 + A5
= 12.2735 + 6.6271 + 0.6929 + 0 + 23.5585
= 43.152 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 12.7 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
ITEM NO. : DA-4302 94
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 1.63 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 7.16 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
The lesser of tr4 or tr5: tr6 = 7.16 mm
Required per UG-45 is the larger of tr1 or tr6 = 7.16 mm
Available nozzle wall thickness new, tn = 0.8750*12.7 = 11.11 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1203.264 = 842.285 kg/cm2
Inner fillet weld in shear: 0.49*1203.264 = 589.599 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*219.08*9*589.599 = 18260.5 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*400.01*10*689.532 = 43325.13 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*206.38*12.7*842.285 = 34676.89 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*219.08*14*1041.333 = 50168.48 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*219.08*14*1041.333 = 50168.48 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (1488.058 - 1227.352 + 2*12.7*0.8551*(1*14 - 1*7.54))*1407.207
= 5643.11 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (662.7083 + 2355.85 + 69.2902 + 0)*1407.207
= 43452.46 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (662.7083 + 0 + 69.2902 + 0 + 2*12.7*14*0.8551)*1407.207
= 14579.69 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (662.7083 + 0 + 2355.85 + 69.2902 + 0 + 0 + 2*12.7*14*0.8551)*1407.207
= 47731.41 kgf
ITEM NO. : DA-4302 95
Load for path 1-1 lesser of W or W1-1 = 5643.11 kgfPath 1-1 through (2) & (3) = 43325.13 + 34676.89 = 78002.02 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 5643.11 kgfPath 2-2 through (1), (4), (6) = 18260.5 + 50168.48 + 50168.48 = 118597.5 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = 5643.11 kgfPath 3-3 through (2), (4) = 43325.13 + 50168.48 = 93493.6 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2)For Pe = 1.5 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
11.1370 30.1172 -- 4.1858 -- 25.2385 0.6929 4.50 11.11
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 6.79 14.00 weld size is adequate
Calculations for external pressure 1.5 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 199.68 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-28 trn = 0.8 mm
From UG-37(d)(1) required thickness tr = 11 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= 0.5*(199.68*11*1 + 2*9.7*11*1*(1 - 0.8551))
= 11.137 cm2
ITEM NO. : DA-4302 96
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 199.68*(1*11 - 1*11) - 2*9.7*(1*11 - 1*11)*(1 - 0.8551)
= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 9.7)*(1*11 - 1*11) - 2*9.7*(1*11 - 1*11)*(1 - 0.8551)
= 0 cm2
A2 = smaller of the following= 4.1858 cm2
= 5*(tn - trn)*fr2*t
= 5*(9.7 - 0.8)*0.8551*11
= 4.1858 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(9.7 - 0.8)*(2.5*9.7 + 14)*0.8551
= 5.8219 cm2
A41 = Leg2*fr3= 92*0.8551
= 0.6929 cm2
A42 = Leg2*fr4= 02*1
= 0 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (399.35 - 199.68 - 2*9.7)*14*1
= 25.2385 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 4.1858 + 0.6929 + 0 + 25.2385
= 30.1172 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 9.7 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 3.8 mm
Wall thickness per UG-45(b)(2): tr2 = 3.56 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 10.16 mm
The greater of tr2 or tr3: tr5 = 4.5 mm
The lesser of tr4 or tr5: tr6 = 4.5 mm
ITEM NO. : DA-4302 97
Required per UG-45 is the larger of tr1 or tr6 = 4.5 mm
Available nozzle wall thickness new, tn = 0.8750*12.7 = 11.11 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 202.2477/219.0750 = 0.9232Do/t = 219.0750/0.800079 = 273.8166
From table G: A = 0.000322
From table CS-2 Metric: B = 308.9275kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*308.9275/(3*(219.0750/0.800079))
= 1.5043 kg/cm©÷
Design thickness for external pressure Pa = 1.5043 kg/cm2
= t + Corrosion = 0.800079 + 3.00 = 3.80 mm
ITEM NO. : DA-4302 98
REFLUX (N3)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 14.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 150.01 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #1
Liquid static head included: 0 kg/cm2
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 5)
Nozzle longitudinal joint efficiency: 1.00
Nozzle description: 2" Sch 160 DN 50
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 150.01 mm
Flange description: 2 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 90°
Local vessel minimum thickness: 14 mm
Nozzle center line offset to datum line: 27290 mm
End of nozzle to shell center: 700 mm
Nozzle inside diameter, new: 42.85 mm
Nozzle nominal wall thickness: 8.74 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 161 mm
Pad is split: no
ITEM NO. : DA-4302 99
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary(cm2)
For P = 13.47 kg/cm2 @ 220 °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) 6.42 7.65
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 pad fillet (Leg41) 4.02 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 4.02 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.05828).
Pad impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.45446)Rated MDMT is governed by UCS-66(b)(2).
Nozzle UCS-66 governing thk: 7.65 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -48 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 48.85 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4708*24.42/(1203.264*1 - 0.6*13.4708)
= 0.27 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4708*528/(1407.207*1 - 0.6*13.4708)
= 5.08 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
ITEM NO. : DA-4302 100
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 5.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.02 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 3.27 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.08 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.42 mm
The greater of tr2 or tr3: tr5 = 8.08 mm
The lesser of tr4 or tr5: tr6 = 6.42 mm
ITEM NO. : DA-4302 101
Required per UG-45 is the larger of tr1 or tr6 = 6.42 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary(cm2)
For P = 20.04 kg/cm2 @ 20 °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) 3.42 7.65
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 6.12 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: (Rn + tn + t )= 44.16 mm
Normal to the vessel wall outside: 2.5*(t - C) = 35 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*21.42/(1203.264*1 - 0.6*20.0375)
= 0.36 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 8.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
ITEM NO. : DA-4302 102
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 0.36 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 3.42 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
The lesser of tr4 or tr5: tr6 = 3.42 mm
ITEM NO. : DA-4302 103
Required per UG-45 is the larger of tr1 or tr6 = 3.42 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary(cm2)
For Pe = 1.5 kg/cm2 @ 220 °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) 4.50 7.65
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 pad fillet (Leg41) 4.02 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 4.02 14.00 weld size is adequate
Calculations for external pressure 1.5 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 48.85 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-28 trn = 0.34 mm
From UG-37(d)(1) required thickness tr = 11 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 5.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.02 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 3.34 mm
ITEM NO. : DA-4302 104
Wall thickness per UG-45(b)(2): tr2 = 3.56 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.42 mm
The greater of tr2 or tr3: tr5 = 4.5 mm
The lesser of tr4 or tr5: tr6 = 4.5 mm
Required per UG-45 is the larger of tr1 or tr6 = 4.5 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 161.8446/60.3250 = 2.6829Do/t = 60.3250/0.341512 = 176.6407
From table G: A = 0.000209
From table CS-2 Metric: B = 199.3141kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*199.3141/(3*(60.3250/0.341512))
= 1.5045 kg/cm©÷
Design thickness for external pressure Pa = 1.5045 kg/cm2
= t + Corrosion = 0.341512 + 3.00 = 3.34 mm
ITEM NO. : DA-4302 105
TO REBOILER (N4)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 19.55 mm
Leg41 = 8.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 300.01 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: BOTTOM HEAD
Liquid static head included: 0.2227 kg/cm2
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 5)
Nozzle longitudinal joint efficiency: 1.00
Nozzle description: 6" Sch 80 (XS) DN 150
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 300.01 mm
Flange description: 6 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0.2226 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 90°
Calculated as hillside: no
Local vessel minimum thickness: 19.55 mm
End of nozzle to datum line: -1150 mm
Nozzle inside diameter, new: 146.33 mm
Nozzle nominal wall thickness: 10.97 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 921.35 mm
Distance to head center, R: 280 mm
Pad is split: no
ITEM NO. : DA-4302 106
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary (cm2)For P = 13.47 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
7.0415 41.5260 17.9974 4.1284 -- 18.4422 0.9581 8.02 9.60
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-13,115 33,110 49,403 9,755 96,558 36,285 78,049
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 5.58 5.60 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 5.58 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.13005).
Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.27513).
Nozzle UCS-66 governing thk: 9.6 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -105 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 152.33 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 33.93 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.471*76.16/(1203.264*1 - 0.6*13.471)
= 0.86 mm
Required thickness tr from UG-37(a)(c)
tr = P*K1*D/(2*S*E - 0.2*P)
= 13.471*0.9*1056/(2*1407.207*1 - 0.2*13.471)
= 4.55 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
ITEM NO. : DA-4302 107
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 152.33*4.55*1 + 2*7.97*4.55*1*(1 - 0.8551)
= 7.0415 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 17.9974 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 152.33*(1*16.55 - 1*4.55) - 2*7.97*(1*16.55 - 1*4.55)*(1 - 0.8551)
= 17.9974 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(16.55 + 7.97)*(1*16.55 - 1*4.55) - 2*7.97*(1*16.55 - 1*4.55)*(1 - 0.8551)
= 5.6071 cm2
A2 = smaller of the following= 4.1284 cm2
= 5*(tn - trn)*fr2*t
= 5*(7.97 - 0.86)*0.8551*16.55
= 5.0342 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(7.97 - 0.86)*(2.5*7.97 + 14)*0.8551
= 4.1284 cm2
A41 = Leg2*fr3= 82*0.8551
= 0.5471 cm2
A42 = Leg2*fr4= 6.412*1
= 0.411 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (300.01 - 152.33 - 2*7.97)*14*1
= 18.4422 cm2
Area = A1 + A2 + A41 + A42 + A5
= 17.9974 + 4.1284 + 0.5471 + 0.411 + 18.4422
= 41.526 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 7.97 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 5.58 mm
tc(actual) = 0.7*Leg = 0.7*8 = 5.6 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
ITEM NO. : DA-4302 108
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
Wall thickness per UG-45(a): tr1 = 3.86 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.02 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 9.22 mm
The greater of tr2 or tr3: tr5 = 8.02 mm
The lesser of tr4 or tr5: tr6 = 8.02 mm
Required per UG-45 is the larger of tr1 or tr6 = 8.02 mm
Available nozzle wall thickness new, tn = 0.8750*10.97 = 9.6 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1203.264 = 842.285 kg/cm2
Inner fillet weld in shear: 0.49*1203.264 = 589.599 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*168.28*8*589.599 = 12467.72 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*300.01*10*689.532 = 32493.98 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*160.3*7.97*842.285 = 16909.46 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*168.28*16.55*1041.333 = 45554.84 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*168.28*14*1041.333 = 38535.2 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (704.1464 - 1799.738 + 2*7.97*0.8551*(1*16.55 - 1*4.55))*1407.207
= -13115.39 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (412.8379 + 1844.22 + 54.7096 + 41.0967)*1407.207
= 33109.7 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (412.8379 + 0 + 54.7096 + 0 + 2*7.97*16.55*0.8551)*1407.207
= 9754.93 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (412.8379 + 0 + 1844.22 + 54.7096 + 41.0967 + 0 + 2*7.97*16.55*0.8551)*1407.207
= 36285.27 kgf
ITEM NO. : DA-4302 109
Load for path 1-1 lesser of W or W1-1 = -13115.39 kgfPath 1-1 through (2) & (3) = 32493.98 + 16909.46 = 49403.43 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = -13115.39 kgfPath 2-2 through (1), (4), (6) = 12467.72 + 45554.84 + 38535.2 = 96557.76 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -13115.39 kgfPath 3-3 through (2), (4) = 32493.98 + 45554.84 = 78048.81 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary (cm2)For P = 20.04 kg/cm2 @ 20 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
10.0733 43.2034 18.3406 6.9019 -- 17.4137 0.5471 6.22 9.60
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-8,250 34,987 55,331 15,645 104,815 40,150 86,306
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 5.60 weld size is NOT adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.68 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 146.33 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 41.43 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*73.16/(1203.264*1 - 0.6*20.0375)
= 1.23 mm
Required thickness tr from UG-37(a)(c)
tr = P*K1*D/(2*S*E - 0.2*P)
= 20.0375*0.9*1050/(2*1407.207*1 - 0.2*20.0375)
= 6.74 mm
Area required per UG-37(c)
ITEM NO. : DA-4302 110
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 146.33*6.74*1 + 2*10.97*6.74*1*(1 - 0.8551)
= 10.0733 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 18.3406 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 146.33*(1*19.55 - 1*6.74) - 2*10.97*(1*19.55 - 1*6.74)*(1 - 0.8551)
= 18.3406 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(19.55 + 10.97)*(1*19.55 - 1*6.74) - 2*10.97*(1*19.55 - 1*6.74)*(1 - 0.8551)
= 7.4142 cm2
A2 = smaller of the following= 6.9019 cm2
= 5*(tn - trn)*fr2*t
= 5*(10.97 - 1.23)*0.8551*19.55
= 8.1419 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(10.97 - 1.23)*(2.5*10.97 + 14)*0.8551
= 6.9019 cm2
A41 = Leg2*fr3= 82*0.8551
= 0.5471 cm2
A42 = Leg2*fr4= 02*1
= 0 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (292.66 - 146.33 - 2*10.97)*14*1
= 17.4137 cm2
Area = A1 + A2 + A41 + A42 + A5
= 18.3406 + 6.9019 + 0.5471 + 0 + 17.4137
= 43.2034 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 10.97 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*8 = 5.6 mm
** The fillet weld size IS NOT satisfactory. **
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
ITEM NO. : DA-4302 111
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
Wall thickness per UG-45(a): tr1 = 1.23 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.49 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.22 mm
The greater of tr2 or tr3: tr5 = 7.49 mm
The lesser of tr4 or tr5: tr6 = 6.22 mm
Required per UG-45 is the larger of tr1 or tr6 = 6.22 mm
Available nozzle wall thickness new, tn = 0.8750*10.97 = 9.6 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1203.264 = 842.285 kg/cm2
Inner fillet weld in shear: 0.49*1203.264 = 589.599 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*168.28*8*589.599 = 12467.72 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*300.01*10*689.532 = 32493.98 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*157.3*10.97*842.285 = 22836.61 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*168.28*19.55*1041.333 = 53811.66 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*168.28*14*1041.333 = 38535.2 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (1007.335 - 1834.061 + 2*10.97*0.8551*(1*19.55 - 1*6.74))*1407.207
= -8250.36 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (690.1921 + 1741.373 + 54.7096 + 0)*1407.207
= 34987.07 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (690.1921 + 0 + 54.7096 + 0 + 2*10.97*19.55*0.8551)*1407.207
= 15644.93 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (690.1921 + 0 + 1741.373 + 54.7096 + 0 + 0 + 2*10.97*19.55*0.8551)*1407.207
= 40149.68 kgf
ITEM NO. : DA-4302 112
Load for path 1-1 lesser of W or W1-1 = -8250.36 kgfPath 1-1 through (2) & (3) = 32493.98 + 22836.61 = 55330.58 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = -8250.36 kgfPath 2-2 through (1), (4), (6) = 12467.72 + 53811.66 + 38535.2 = 104814.6 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -8250.36 kgfPath 3-3 through (2), (4) = 32493.98 + 53811.66 = 86305.64 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2)For Pe = 8.82 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
7.9417 31.8906 9.4200 3.0703 -- 18.4422 0.9581 6.29 9.60
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 pad fillet (Leg41) 5.58 5.60 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 5.58 14.00 weld size is adequate
Calculations for external pressure 8.82 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 152.33 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 33.93 mm
Nozzle required thickness per UG-28 trn = 2.68 mm
From UG-37(d)(1) required thickness tr = 10.27 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= 0.5*(152.33*10.27*1 + 2*7.97*10.27*1*(1 - 0.8551))
= 7.9417 cm2
ITEM NO. : DA-4302 113
Area available from FIG. UG-37.1
A1 = larger of the following= 9.42 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 152.33*(1*16.55 - 1*10.27) - 2*7.97*(1*16.55 - 1*10.27)*(1 - 0.8551)
= 9.42 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(16.55 + 7.97)*(1*16.55 - 1*10.27) - 2*7.97*(1*16.55 - 1*10.27)*(1 - 0.8551)
= 2.9348 cm2
A2 = smaller of the following= 3.0703 cm2
= 5*(tn - trn)*fr2*t
= 5*(7.97 - 2.68)*0.8551*16.55
= 3.7439 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(7.97 - 2.68)*(2.5*7.97 + 14)*0.8551
= 3.0703 cm2
A41 = Leg2*fr3= 82*0.8551
= 0.5471 cm2
A42 = Leg2*fr4= 6.412*1
= 0.411 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (300.01 - 152.33 - 2*7.97)*14*1
= 18.4422 cm2
Area = A1 + A2 + A41 + A42 + A5
= 9.42 + 3.0703 + 0.5471 + 0.411 + 18.4422
= 31.8906 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 7.97 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 5.58 mm
tc(actual) = 0.7*Leg = 0.7*8 = 5.6 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
Wall thickness per UG-45(a): tr1 = 5.68 mm
Wall thickness per UG-45(b)(2): tr2 = 6.29 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 9.22 mm
ITEM NO. : DA-4302 114
The greater of tr2 or tr3: tr5 = 6.29 mm
The lesser of tr4 or tr5: tr6 = 6.29 mm
Required per UG-45 is the larger of tr1 or tr6 = 6.29 mm
Available nozzle wall thickness new, tn = 0.8750*10.97 = 9.6 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 922.0182/168.2750 = 5.4792Do/t = 168.2750/2.682288 = 62.7356
From table G: A = 0.000432
From table CS-2 Metric: B = 414.9681kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*414.9681/(3*(168.2750/2.682288))
= 8.8194 kg/cm©÷
Design thickness for external pressure Pa = 8.8194 kg/cm2
= t + Corrosion = 2.682288 + 3.00 = 5.68 mm
ITEM NO. : DA-4302 115
FROM REBOILER (N5)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 23.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 510.00 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #4
Liquid static head included: 0 kg/cm2
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 5)
Nozzle longitudinal joint efficiency: 1.00
Nozzle description: 10" Sch 60 (XS) DN 250
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 510 mm
Flange description: 10 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 90°
Local vessel minimum thickness: 23 mm
Nozzle center line offset to datum line: 2213 mm
End of nozzle to shell center: 750 mm
Nozzle inside diameter, new: 247.65 mm
Nozzle nominal wall thickness: 12.7 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 202 mm
Pad is split: no
ITEM NO. : DA-4302 116
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary (cm2)For P = 13.47 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
13.0373 76.3143 37.4167 5.4097 -- 32.7950 0.6929 8.08 11.11
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-30,825 54,737 89,036 13,256 174,616 59,406 144,567
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 6.79 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.17327).
Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.24996).
Nozzle UCS-66 governing thk: 11.11 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -105 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 253.65 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 38.25 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4708*126.83/(1203.264*1 - 0.6*13.4708)
= 1.43 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4708*528/(1407.207*1 - 0.6*13.4708)
= 5.08 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
ITEM NO. : DA-4302 117
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 253.65*5.08*1 + 2*9.7*5.08*1*(1 - 0.8551)
= 13.0373 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 37.4167 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 253.65*(1*20 - 1*5.08) - 2*9.7*(1*20 - 1*5.08)*(1 - 0.8551)
= 37.4167 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(20 + 9.7)*(1*20 - 1*5.08) - 2*9.7*(1*20 - 1*5.08)*(1 - 0.8551)
= 8.4413 cm2
A2 = smaller of the following= 5.4097 cm2
= 5*(tn - trn)*fr2*t
= 5*(9.7 - 1.43)*0.8551*20
= 7.0716 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(9.7 - 1.43)*(2.5*9.7 + 14)*0.8551
= 5.4097 cm2
A41 = Leg2*fr3= 92*0.8551
= 0.6929 cm2
A42 = Leg2*fr4= 02*1
= 0 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (507.3 - 253.65 - 2*9.7)*14*1
= 32.795 cm2
Area = A1 + A2 + A41 + A42 + A5
= 37.4167 + 5.4097 + 0.6929 + 0 + 32.795
= 76.3143 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 9.7 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
ITEM NO. : DA-4302 118
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 4.43 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.08 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.11 mm
The greater of tr2 or tr3: tr5 = 8.08 mm
The lesser of tr4 or tr5: tr6 = 8.08 mm
Required per UG-45 is the larger of tr1 or tr6 = 8.08 mm
Available nozzle wall thickness new, tn = 0.8750*12.7 = 11.11 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1203.264 = 842.285 kg/cm2
Inner fillet weld in shear: 0.49*1203.264 = 589.599 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*273.05*9*589.599 = 22759.46 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*510*10*689.532 = 55238.84 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*263.35*9.7*842.285 = 33797.48 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*273.05*20*1041.333 = 89328.05 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*273.05*14*1041.333 = 62528.82 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (1303.734 - 3741.67 + 2*9.7*0.8551*(1*20 - 1*5.08))*1407.207
= -30824.67 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (540.9667 + 3279.5 + 69.2902 + 0)*1407.207
= 54736.98 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (540.9667 + 0 + 69.2902 + 0 + 2*9.7*20*0.8551)*1407.207
= 13256.47 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (540.9667 + 0 + 3279.5 + 69.2902 + 0 + 0 + 2*9.7*20*0.8551)*1407.207
= 59405.86 kgf
ITEM NO. : DA-4302 119
Load for path 1-1 lesser of W or W1-1 = -30824.67 kgfPath 1-1 through (2) & (3) = 55238.84 + 33797.48 = 89036.32 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = -30824.67 kgfPath 2-2 through (1), (4), (6) = 22759.46 + 89328.05 + 62528.82 = 174616.3 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -30824.67 kgfPath 3-3 through (2), (4) = 55238.84 + 89328.05 = 144566.9 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary (cm2)For P = 20.04 kg/cm2 @ 20 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
18.9503 77.8330 37.7180 8.3071 -- 31.1150 0.6929 7.54 11.11
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-21,685 56,450 98,985 19,695 188,014 63,480 157,965
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 8.89 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 247.65 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 45.75 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*123.83/(1203.264*1 - 0.6*20.0375)
= 2.08 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
Area required per UG-37(c)
ITEM NO. : DA-4302 120
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 247.65*7.54*1 + 2*12.7*7.54*1*(1 - 0.8551)
= 18.9503 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 37.718 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 247.65*(1*23 - 1*7.54) - 2*12.7*(1*23 - 1*7.54)*(1 - 0.8551)
= 37.718 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(23 + 12.7)*(1*23 - 1*7.54) - 2*12.7*(1*23 - 1*7.54)*(1 - 0.8551)
= 10.4697 cm2
A2 = smaller of the following= 8.3071 cm2
= 5*(tn - trn)*fr2*t
= 5*(12.7 - 2.08)*0.8551*23
= 10.4406 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(12.7 - 2.08)*(2.5*12.7 + 14)*0.8551
= 8.3071 cm2
A41 = Leg2*fr3= 92*0.8551
= 0.6929 cm2
A42 = Leg2*fr4= 02*1
= 0 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (495.3 - 247.65 - 2*12.7)*14*1
= 31.115 cm2
Area = A1 + A2 + A41 + A42 + A5
= 37.718 + 8.3071 + 0.6929 + 0 + 31.115
= 77.833 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 12.7 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
ITEM NO. : DA-4302 121
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 2.08 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 8.11 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
The lesser of tr4 or tr5: tr6 = 7.54 mm
Required per UG-45 is the larger of tr1 or tr6 = 7.54 mm
Available nozzle wall thickness new, tn = 0.8750*12.7 = 11.11 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1203.264 = 842.285 kg/cm2
Inner fillet weld in shear: 0.49*1203.264 = 589.599 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*273.05*9*589.599 = 22759.46 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*510*10*689.532 = 55238.84 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*260.35*12.7*842.285 = 43746.23 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*273.05*23*1041.333 = 102725.9 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*273.05*14*1041.333 = 62528.82 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (1895.029 - 3771.799 + 2*12.7*0.8551*(1*23 - 1*7.54))*1407.207
= -21684.88 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (830.708 + 3111.5 + 69.2902 + 0)*1407.207
= 56450.14 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (830.708 + 0 + 69.2902 + 0 + 2*12.7*23*0.8551)*1407.207
= 19694.55 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (830.708 + 0 + 3111.5 + 69.2902 + 0 + 0 + 2*12.7*23*0.8551)*1407.207
= 63479.84 kgf
ITEM NO. : DA-4302 122
Load for path 1-1 lesser of W or W1-1 = -21684.88 kgfPath 1-1 through (2) & (3) = 55238.84 + 43746.23 = 98985.07 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = -21684.88 kgfPath 2-2 through (1), (4), (6) = 22759.46 + 102725.9 + 62528.82 = 188014.2 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -21684.88 kgfPath 3-3 through (2), (4) = 55238.84 + 102725.9 = 157964.8 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2)For Pe = 8.82 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
25.6464 38.3595 -- 4.8716 -- 32.7950 0.6929 6.32 11.11
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 6.79 14.00 weld size is adequate
Calculations for external pressure 8.82 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 253.65 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 38.25 mm
Nozzle required thickness per UG-28 trn = 2.25 mm
From UG-37(d)(1) required thickness tr = 20 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= 0.5*(253.65*20*1 + 2*9.7*20*1*(1 - 0.8551))
= 25.6464 cm2
ITEM NO. : DA-4302 123
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 253.65*(1*20 - 1*20) - 2*9.7*(1*20 - 1*20)*(1 - 0.8551)
= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(20 + 9.7)*(1*20 - 1*20) - 2*9.7*(1*20 - 1*20)*(1 - 0.8551)
= 0 cm2
A2 = smaller of the following= 4.8716 cm2
= 5*(tn - trn)*fr2*t
= 5*(9.7 - 2.25)*0.8551*20
= 6.3677 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(9.7 - 2.25)*(2.5*9.7 + 14)*0.8551
= 4.8716 cm2
A41 = Leg2*fr3= 92*0.8551
= 0.6929 cm2
A42 = Leg2*fr4= 02*1
= 0 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (507.3 - 253.65 - 2*9.7)*14*1
= 32.795 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 4.8716 + 0.6929 + 0 + 32.795
= 38.3595 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 9.7 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 5.25 mm
Wall thickness per UG-45(b)(2): tr2 = 6.32 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.11 mm
The greater of tr2 or tr3: tr5 = 6.32 mm
The lesser of tr4 or tr5: tr6 = 6.32 mm
ITEM NO. : DA-4302 124
Required per UG-45 is the larger of tr1 or tr6 = 6.32 mm
Available nozzle wall thickness new, tn = 0.8750*12.7 = 11.11 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 219.2789/273.0500 = 0.8031Do/t = 273.0500/2.253044 = 121.1916
From table G: A = 0.001279
From table CS-2 Metric: B = 801.6317kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*801.6317/(3*(273.0500/2.253044))
= 8.8194 kg/cm©÷
Design thickness for external pressure Pa = 8.8194 kg/cm2
= t + Corrosion = 2.253044 + 3.00 = 5.25 mm
ITEM NO. : DA-4302 125
BOTTOM OUTLET (N6)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 19.55 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 150.01 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: BOTTOM HEAD
Liquid static head included: 0.1894 kg/cm2
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 5)
Nozzle longitudinal joint efficiency: 1.00
Nozzle description: 2" Sch 160 DN 50
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 150.01 mm
Flange description: 2 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.72°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0.1907 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 0°
Calculated as hillside: no
Local vessel minimum thickness: 19.55 mm
End of nozzle to datum line: -700 mm
Nozzle inside diameter, new: 42.85 mm
Nozzle nominal wall thickness: 8.74 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 380.38 mm
Distance to head center, R: 0 mm
Pad is split: no
ITEM NO. : DA-4302 126
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary(cm2)
For P = 13.47 kg/cm2 @ 220 °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) 6.42 7.65
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 pad fillet (Leg41) 4.02 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 4.02 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.05911).
Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.27444).
Nozzle UCS-66 governing thk: 7.65 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -105 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 48.85 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 28.34 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4694*24.42/(1203.264*1 - 0.6*13.4694)
= 0.27 mm
Required thickness tr from UG-37(a)(c)
tr = P*K1*D/(2*S*E - 0.2*P)
= 13.4694*0.9*1056/(2*1407.207*1 - 0.2*13.4694)
= 4.55 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
ITEM NO. : DA-4302 127
Inner fillet: tmin = lesser of 19 mm or tn or te = 5.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.02 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
Wall thickness per UG-45(a): tr1 = 3.27 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.02 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.42 mm
The greater of tr2 or tr3: tr5 = 8.02 mm
The lesser of tr4 or tr5: tr6 = 6.42 mm
ITEM NO. : DA-4302 128
Required per UG-45 is the larger of tr1 or tr6 = 6.42 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary(cm2)
For P = 20.04 kg/cm2 @ 20 °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) 3.42 7.65
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 6.12 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: (Rn + tn + t )= 49.71 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 35.84 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*21.42/(1203.264*1 - 0.6*20.0375)
= 0.36 mm
Required thickness tr from UG-37(a)(c)
tr = P*K1*D/(2*S*E - 0.2*P)
= 20.0375*0.9*1050/(2*1407.207*1 - 0.2*20.0375)
= 6.74 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 8.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
ITEM NO. : DA-4302 129
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
Wall thickness per UG-45(a): tr1 = 0.36 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.49 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 3.42 mm
The greater of tr2 or tr3: tr5 = 7.49 mm
The lesser of tr4 or tr5: tr6 = 3.42 mm
ITEM NO. : DA-4302 130
Required per UG-45 is the larger of tr1 or tr6 = 3.42 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary(cm2)
For Pe = 8.82 kg/cm2 @ 220 °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) 6.29 7.65
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 pad fillet (Leg41) 4.02 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 4.02 14.00 weld size is adequate
Calculations for external pressure 8.82 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 48.85 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 28.34 mm
Nozzle required thickness per UG-28 trn = 1.02 mm
From UG-37(d)(1) required thickness tr = 10.27 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 5.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.02 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ITEM NO. : DA-4302 131
Wall thickness per UG-45(a): tr1 = 4.02 mm
Wall thickness per UG-45(b)(2): tr2 = 6.29 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.42 mm
The greater of tr2 or tr3: tr5 = 6.29 mm
The lesser of tr4 or tr5: tr6 = 6.29 mm
Required per UG-45 is the larger of tr1 or tr6 = 6.29 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 380.3830/60.3250 = 6.3056Do/t = 60.3250/1.021064 = 59.0805
From table G: A = 0.000407
From table CS-2 Metric: B = 390.7869kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*390.7869/(3*(60.3250/1.021064))
= 8.8193 kg/cm©÷
Design thickness for external pressure Pa = 8.8193 kg/cm2
= t + Corrosion = 1.021064 + 3.00 = 4.02 mm
ITEM NO. : DA-4302 132
VENT (N7)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 11.90 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 150.01 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: TOP HEAD
Liquid static head included: 0 kg/cm2
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 5)
Nozzle longitudinal joint efficiency: 1.00
Nozzle description: 2" Sch 160 DN 50
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 150.01 mm
Flange description: 2 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 0°
Calculated as hillside: no
Local vessel minimum thickness: 11.9 mm
End of nozzle to datum line: 28646 mm
Nozzle inside diameter, new: 42.85 mm
Nozzle nominal wall thickness: 8.74 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 138.03 mm
Distance to head center, R: 0 mm
Pad is split: no
ITEM NO. : DA-4302 133
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary(cm2)
For P = 13.47 kg/cm2 @ 220 °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) 6.42 7.65
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 pad fillet (Leg41) 4.02 6.30 weld size is adequate
Pad to shell fillet (Leg42) 4.45 7.00 weld size is adequate
Nozzle to pad groove (Upper) 4.02 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.05828).
Pad impact test exemption temperature from Fig UCS-66M Curve B = -23.5 °CFig UCS-66.1M MDMT reduction = 31.3 °C, (coincident ratio = 0.50313)Rated MDMT is governed by UCS-66(b)(2).
Nozzle UCS-66 governing thk: 7.65 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 11.9 mm
Pad rated MDMT: -48 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 48.85 mm
Normal to the vessel wall outside: 2.5*(t - C) = 22.25 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4708*24.42/(1203.264*1 - 0.6*13.4708)
= 0.27 mm
Required thickness tr from UG-37(a)(c)
tr = P*K1*D/(2*S*E - 0.2*P)
= 13.4708*0.9*1056/(2*1407.207*1 - 0.2*13.4708)
= 4.55 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
ITEM NO. : DA-4302 134
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 5.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.02 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 8.9 mm
tw(min) = 0.5*tmin = 4.45 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
Wall thickness per UG-45(a): tr1 = 3.27 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.02 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.42 mm
The greater of tr2 or tr3: tr5 = 8.02 mm
The lesser of tr4 or tr5: tr6 = 6.42 mm
ITEM NO. : DA-4302 135
Required per UG-45 is the larger of tr1 or tr6 = 6.42 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary(cm2)
For P = 20.04 kg/cm2 @ 20 °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) 3.42 7.65
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.95 7.00 weld size is adequate
Nozzle to pad groove (Upper) 6.12 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 42.85 mm
Normal to the vessel wall outside: 2.5*(t - C) = 29.75 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*21.42/(1203.264*1 - 0.6*20.0375)
= 0.36 mm
Required thickness tr from UG-37(a)(c)
tr = P*K1*D/(2*S*E - 0.2*P)
= 20.0375*0.9*1050/(2*1407.207*1 - 0.2*20.0375)
= 6.74 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 8.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
ITEM NO. : DA-4302 136
Outer fillet: tmin = lesser of 19 mm or te or t = 11.9 mm
tw(min) = 0.5*tmin = 5.95 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
Wall thickness per UG-45(a): tr1 = 0.36 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.49 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 3.42 mm
The greater of tr2 or tr3: tr5 = 7.49 mm
The lesser of tr4 or tr5: tr6 = 3.42 mm
ITEM NO. : DA-4302 137
Required per UG-45 is the larger of tr1 or tr6 = 3.42 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary(cm2)
For Pe = 1.5 kg/cm2 @ 220 °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) 4.50 7.65
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 pad fillet (Leg41) 4.02 6.30 weld size is adequate
Pad to shell fillet (Leg42) 4.45 7.00 weld size is adequate
Nozzle to pad groove (Upper) 4.02 14.00 weld size is adequate
Calculations for external pressure 1.5 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 48.85 mm
Normal to the vessel wall outside: 2.5*(t - C) = 22.25 mm
Nozzle required thickness per UG-28 trn = 0.32 mm
From UG-37(d)(1) required thickness tr = 3.34 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 5.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.02 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 8.9 mm
tw(min) = 0.5*tmin = 4.45 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ITEM NO. : DA-4302 138
Wall thickness per UG-45(a): tr1 = 3.32 mm
Wall thickness per UG-45(b)(2): tr2 = 3.56 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.42 mm
The greater of tr2 or tr3: tr5 = 4.5 mm
The lesser of tr4 or tr5: tr6 = 4.5 mm
Required per UG-45 is the larger of tr1 or tr6 = 4.5 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 138.0334/60.3250 = 2.2882Do/t = 60.3250/0.320530 = 188.2042
From table G: A = 0.000222
From table CS-2 Metric: B = 212.3639kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*212.3639/(3*(60.3250/0.320530))
= 1.5045 kg/cm©÷
Design thickness for external pressure Pa = 1.5045 kg/cm2
= t + Corrosion = 0.320530 + 3.00 = 3.32 mm
ITEM NO. : DA-4302 139
SPARE (N8)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 11.90 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 150.01 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: TOP HEAD
Liquid static head included: 0 kg/cm2
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 5)
Nozzle longitudinal joint efficiency: 1.00
Nozzle description: 2" Sch 160 DN 50
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 150.01 mm
Flange description: 2 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 0°
Calculated as hillside: no
Local vessel minimum thickness: 11.9 mm
End of nozzle to datum line: 28576 mm
Nozzle inside diameter, new: 42.85 mm
Nozzle nominal wall thickness: 8.74 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 126.57 mm
Distance to head center, R: 300 mm
Pad is split: no
ITEM NO. : DA-4302 140
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary(cm2)
For P = 13.47 kg/cm2 @ 220 °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) 6.42 7.65
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 pad fillet (Leg41) 4.02 6.30 weld size is adequate
Pad to shell fillet (Leg42) 4.45 7.00 weld size is adequate
Nozzle to pad groove (Upper) 4.02 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.05828).
Pad impact test exemption temperature from Fig UCS-66M Curve B = -23.5 °CFig UCS-66.1M MDMT reduction = 31.3 °C, (coincident ratio = 0.50313)Rated MDMT is governed by UCS-66(b)(2).
Nozzle UCS-66 governing thk: 7.65 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 11.9 mm
Pad rated MDMT: -48 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 48.85 mm
Normal to the vessel wall outside: 2.5*(t - C) = 22.25 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4708*24.42/(1203.264*1 - 0.6*13.4708)
= 0.27 mm
Required thickness tr from UG-37(a)(c)
tr = P*K1*D/(2*S*E - 0.2*P)
= 13.4708*0.9*1056/(2*1407.207*1 - 0.2*13.4708)
= 4.55 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
ITEM NO. : DA-4302 141
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 5.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.02 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 8.9 mm
tw(min) = 0.5*tmin = 4.45 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
Wall thickness per UG-45(a): tr1 = 3.27 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.02 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.42 mm
The greater of tr2 or tr3: tr5 = 8.02 mm
The lesser of tr4 or tr5: tr6 = 6.42 mm
ITEM NO. : DA-4302 142
Required per UG-45 is the larger of tr1 or tr6 = 6.42 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary(cm2)
For P = 20.04 kg/cm2 @ 20 °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) 3.42 7.65
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.95 7.00 weld size is adequate
Nozzle to pad groove (Upper) 6.12 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 42.85 mm
Normal to the vessel wall outside: 2.5*(t - C) = 29.75 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*21.42/(1203.264*1 - 0.6*20.0375)
= 0.36 mm
Required thickness tr from UG-37(a)(c)
tr = P*K1*D/(2*S*E - 0.2*P)
= 20.0375*0.9*1050/(2*1407.207*1 - 0.2*20.0375)
= 6.74 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 8.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
ITEM NO. : DA-4302 143
Outer fillet: tmin = lesser of 19 mm or te or t = 11.9 mm
tw(min) = 0.5*tmin = 5.95 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
Wall thickness per UG-45(a): tr1 = 0.36 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.49 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 3.42 mm
The greater of tr2 or tr3: tr5 = 7.49 mm
The lesser of tr4 or tr5: tr6 = 3.42 mm
ITEM NO. : DA-4302 144
Required per UG-45 is the larger of tr1 or tr6 = 3.42 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary(cm2)
For Pe = 1.5 kg/cm2 @ 220 °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) 4.50 7.65
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 pad fillet (Leg41) 4.02 6.30 weld size is adequate
Pad to shell fillet (Leg42) 4.45 7.00 weld size is adequate
Nozzle to pad groove (Upper) 4.02 14.00 weld size is adequate
Calculations for external pressure 1.5 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 48.85 mm
Normal to the vessel wall outside: 2.5*(t - C) = 22.25 mm
Nozzle required thickness per UG-28 trn = 0.31 mm
From UG-37(d)(1) required thickness tr = 3.34 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 5.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.02 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 8.9 mm
tw(min) = 0.5*tmin = 4.45 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Interpretation VIII-1-83-66 has been applied.
ITEM NO. : DA-4302 145
Wall thickness per UG-45(a): tr1 = 3.31 mm
Wall thickness per UG-45(b)(2): tr2 = 3.56 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.42 mm
The greater of tr2 or tr3: tr5 = 4.5 mm
The lesser of tr4 or tr5: tr6 = 4.5 mm
Required per UG-45 is the larger of tr1 or tr6 = 4.5 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 126.6095/60.3250 = 2.0988Do/t = 60.3250/0.310560 = 194.2461
From table G: A = 0.000229
From table CS-2 Metric: B = 219.1655kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*219.1655/(3*(60.3250/0.310560))
= 1.5044 kg/cm©÷
Design thickness for external pressure Pa = 1.5044 kg/cm2
= t + Corrosion = 0.310560 + 3.00 = 3.31 mm
ITEM NO. : DA-4302 146
STEAM OUT (N9)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 23.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 150.01 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #4
Liquid static head included: 0.1322 kg/cm2
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 5)
Nozzle longitudinal joint efficiency: 1.00
Nozzle description: 2" Sch 160 DN 50
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 150.01 mm
Flange description: 2 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.61°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0.1307 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 90°
Local vessel minimum thickness: 23 mm
Nozzle center line offset to datum line: 150 mm
End of nozzle to shell center: 700 mm
Nozzle inside diameter, new: 42.85 mm
Nozzle nominal wall thickness: 8.74 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 152 mm
Pad is split: no
ITEM NO. : DA-4302 147
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary(cm2)
For P = 13.47 kg/cm2 @ 220 °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) 6.42 7.65
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 pad fillet (Leg41) 4.02 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 4.02 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.05886).
Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25246).
Nozzle UCS-66 governing thk: 7.65 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -105 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: (Rn + tn + t )= 50.16 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 28.34 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4723*24.42/(1203.264*1 - 0.6*13.4723)
= 0.27 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4723*528/(1407.207*1 - 0.6*13.4723)
= 5.08 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
ITEM NO. : DA-4302 148
Inner fillet: tmin = lesser of 19 mm or tn or te = 5.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.02 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 3.27 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.08 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.42 mm
The greater of tr2 or tr3: tr5 = 8.08 mm
The lesser of tr4 or tr5: tr6 = 6.42 mm
ITEM NO. : DA-4302 149
Required per UG-45 is the larger of tr1 or tr6 = 6.42 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary(cm2)
For P = 20.04 kg/cm2 @ 20 °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) 3.42 7.65
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 6.12 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: (Rn + tn + t )= 53.16 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 35.84 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*21.42/(1203.264*1 - 0.6*20.0375)
= 0.36 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 8.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
ITEM NO. : DA-4302 150
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 0.36 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 3.42 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
The lesser of tr4 or tr5: tr6 = 3.42 mm
ITEM NO. : DA-4302 151
Required per UG-45 is the larger of tr1 or tr6 = 3.42 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary(cm2)
For Pe = 8.82 kg/cm2 @ 220 °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) 6.32 7.65
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 pad fillet (Leg41) 4.02 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 4.02 14.00 weld size is adequate
Calculations for external pressure 8.82 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: (Rn + tn + t )= 50.16 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 28.34 mm
Nozzle required thickness per UG-28 trn = 0.68 mm
From UG-37(d)(1) required thickness tr = 20 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 5.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.02 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 3.68 mm
ITEM NO. : DA-4302 152
Wall thickness per UG-45(b)(2): tr2 = 6.32 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.42 mm
The greater of tr2 or tr3: tr5 = 6.32 mm
The lesser of tr4 or tr5: tr6 = 6.32 mm
Required per UG-45 is the larger of tr1 or tr6 = 6.32 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 152.8307/60.3250 = 2.5335Do/t = 60.3250/0.680187 = 88.6888
From table G: A = 0.000608
From table CS-2 Metric: B = 586.6413kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*586.6413/(3*(60.3250/0.680187))
= 8.8195 kg/cm©÷
Design thickness for external pressure Pa = 8.8195 kg/cm2
= t + Corrosion = 0.680187 + 3.00 = 3.68 mm
ITEM NO. : DA-4302 153
EQ. LINE (N13)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 14.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 180.00 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #1
Liquid static head included: 0 kg/cm2
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 5)
Nozzle longitudinal joint efficiency: 1.00
Nozzle description: 3" Sch 160 DN 80
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 180 mm
Flange description: 3 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 90°
Local vessel minimum thickness: 14 mm
Nozzle center line offset to datum line: 24490 mm
End of nozzle to shell center: 700 mm
Nozzle inside diameter, new: 66.65 mm
Nozzle nominal wall thickness: 11.13 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 161 mm
Pad is split: no
ITEM NO. : DA-4302 154
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary (cm2)For P = 13.47 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
3.8129 16.3772 4.1593 3.6290 -- 7.8959 0.6929 7.80 9.73
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
669 17,193 28,179 8,233 43,764 19,344 35,492
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 5.69 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 5.69 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.05978).
Pad impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.45446)Rated MDMT is governed by UCS-66(b)(2).
Nozzle UCS-66 governing thk: 9.73 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -48 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 72.65 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4708*36.32/(1203.264*1 - 0.6*13.4708)
= 0.41 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4708*528/(1407.207*1 - 0.6*13.4708)
= 5.08 mm
Area required per UG-37(c)
ITEM NO. : DA-4302 155
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 72.65*5.08*1 + 2*8.13*5.08*1*(1 - 0.8551)
= 3.8129 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 4.1593 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 72.65*(1*11 - 1*5.08) - 2*8.13*(1*11 - 1*5.08)*(1 - 0.8551)
= 4.1593 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 8.13)*(1*11 - 1*5.08) - 2*8.13*(1*11 - 1*5.08)*(1 - 0.8551)
= 2.1239 cm2
A2 = smaller of the following= 3.629 cm2
= 5*(tn - trn)*fr2*t
= 5*(8.13 - 0.41)*0.8551*11
= 3.629 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(8.13 - 0.41)*(2.5*8.13 + 14)*0.8551
= 4.5284 cm2
A41 = Leg2*fr3= 92*0.8551
= 0.6929 cm2
A42 = Leg2*fr4= 02*1
= 0 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (145.3 - 72.65 - 2*8.13)*14*1
= 7.8959 cm2
Area = A1 + A2 + A41 + A42 + A5
= 4.1593 + 3.629 + 0.6929 + 0 + 7.8959
= 16.3772 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 8.13 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 5.69 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
ITEM NO. : DA-4302 156
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 3.41 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.08 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 7.8 mm
The greater of tr2 or tr3: tr5 = 8.08 mm
The lesser of tr4 or tr5: tr6 = 7.8 mm
Required per UG-45 is the larger of tr1 or tr6 = 7.8 mm
Available nozzle wall thickness new, tn = 0.8750*11.13 = 9.73 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1203.264 = 842.285 kg/cm2
Inner fillet weld in shear: 0.49*1203.264 = 589.599 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*88.9*9*589.599 = 7410.06 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*180*10*689.532 = 19496.06 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*80.77*8.13*842.285 = 8683.39 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*88.9*11*1041.333 = 15996.13 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*88.9*14*1041.333 = 20358.22 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (381.2885 - 415.9346 + 2*8.13*0.8551*(1*11 - 1*5.08))*1407.207
= 669.42 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (362.9025 + 789.5887 + 69.2902 + 0)*1407.207
= 17193.01 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (362.9025 + 0 + 69.2902 + 0 + 2*8.13*11*0.8551)*1407.207
= 8232.86 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (362.9025 + 0 + 789.5887 + 69.2902 + 0 + 0 + 2*8.13*11*0.8551)*1407.207
= 19344.02 kgf
ITEM NO. : DA-4302 157
Load for path 1-1 lesser of W or W1-1 = 669.42 kgfPath 1-1 through (2) & (3) = 19496.06 + 8683.39 = 28179.45 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 669.42 kgfPath 2-2 through (1), (4), (6) = 7410.06 + 15996.13 + 20358.22 = 43764.41 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = 669.42 kgfPath 3-3 through (2), (4) = 19496.06 + 15996.13 = 35492.19 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary (cm2)For P = 20.04 kg/cm2 @ 20 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
5.2685 17.3294 4.0974 6.3232 -- 6.2159 0.6929 4.80 9.73
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
3,378 18,620 30,944 13,622 48,127 22,369 39,854
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.79 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 66.65 mm
Normal to the vessel wall outside: 2.5*(t - C) = 35 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*33.32/(1203.264*1 - 0.6*20.0375)
= 0.56 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
Area required per UG-37(c)
ITEM NO. : DA-4302 158
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 66.65*7.54*1 + 2*11.13*7.54*1*(1 - 0.8551)
= 5.2685 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 4.0974 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 66.65*(1*14 - 1*7.54) - 2*11.13*(1*14 - 1*7.54)*(1 - 0.8551)
= 4.0974 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(14 + 11.13)*(1*14 - 1*7.54) - 2*11.13*(1*14 - 1*7.54)*(1 - 0.8551)
= 3.0381 cm2
A2 = smaller of the following= 6.3232 cm2
= 5*(tn - trn)*fr2*t
= 5*(11.13 - 0.56)*0.8551*14
= 6.3232 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11.13 - 0.56)*(2.5*11.13 + 14)*0.8551
= 7.5542 cm2
A41 = Leg2*fr3= 92*0.8551
= 0.6929 cm2
A42 = Leg2*fr4= 02*1
= 0 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (133.3 - 66.65 - 2*11.13)*14*1
= 6.2159 cm2
Area = A1 + A2 + A41 + A42 + A5
= 4.0974 + 6.3232 + 0.6929 + 0 + 6.2159
= 17.3294 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11.13 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
ITEM NO. : DA-4302 159
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 0.56 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 4.8 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
The lesser of tr4 or tr5: tr6 = 4.8 mm
Required per UG-45 is the larger of tr1 or tr6 = 4.8 mm
Available nozzle wall thickness new, tn = 0.8750*11.13 = 9.73 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1203.264 = 842.285 kg/cm2
Inner fillet weld in shear: 0.49*1203.264 = 589.599 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*88.9*9*589.599 = 7410.06 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*180*10*689.532 = 19496.06 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*77.77*11.13*842.285 = 11447.9 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*88.9*14*1041.333 = 20358.22 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*88.9*14*1041.333 = 20358.22 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (526.8469 - 409.7411 + 2*11.13*0.8551*(1*14 - 1*7.54))*1407.207
= 3377.52 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (632.3213 + 621.5888 + 69.2902 + 0)*1407.207
= 18620.19 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (632.3213 + 0 + 69.2902 + 0 + 2*11.13*14*0.8551)*1407.207
= 13621.5 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (632.3213 + 0 + 621.5888 + 69.2902 + 0 + 0 + 2*11.13*14*0.8551)*1407.207
= 22368.55 kgf
ITEM NO. : DA-4302 160
Load for path 1-1 lesser of W or W1-1 = 3377.52 kgfPath 1-1 through (2) & (3) = 19496.06 + 11447.9 = 30943.97 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 3377.52 kgfPath 2-2 through (1), (4), (6) = 7410.06 + 20358.22 + 20358.22 = 48126.5 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = 3377.52 kgfPath 3-3 through (2), (4) = 19496.06 + 20358.22 = 39854.29 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2)For Pe = 1.5 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
4.1253 12.2062 -- 3.6174 -- 7.8959 0.6929 4.50 9.73
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 pad fillet (Leg41) 5.69 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 5.69 14.00 weld size is adequate
Calculations for external pressure 1.5 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 72.65 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-28 trn = 0.43 mm
From UG-37(d)(1) required thickness tr = 11 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1203.264, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 0.8551fr2 = lesser of 1 or Sn/Sv = 0.8551fr3 = lesser of fr2 or Sp/Sv = 0.8551fr4 = lesser of 1 or Sp/Sv = 1
A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= 0.5*(72.65*11*1 + 2*8.13*11*1*(1 - 0.8551))
= 4.1253 cm2
ITEM NO. : DA-4302 161
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 72.65*(1*11 - 1*11) - 2*8.13*(1*11 - 1*11)*(1 - 0.8551)
= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 8.13)*(1*11 - 1*11) - 2*8.13*(1*11 - 1*11)*(1 - 0.8551)
= 0 cm2
A2 = smaller of the following= 3.6174 cm2
= 5*(tn - trn)*fr2*t
= 5*(8.13 - 0.43)*0.8551*11
= 3.6174 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(8.13 - 0.43)*(2.5*8.13 + 14)*0.8551
= 4.5135 cm2
A41 = Leg2*fr3= 92*0.8551
= 0.6929 cm2
A42 = Leg2*fr4= 02*1
= 0 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (145.3 - 72.65 - 2*8.13)*14*1
= 7.8959 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 3.6174 + 0.6929 + 0 + 7.8959
= 12.2062 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 8.13 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 5.69 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 3.43 mm
Wall thickness per UG-45(b)(2): tr2 = 3.56 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 7.8 mm
The greater of tr2 or tr3: tr5 = 4.5 mm
The lesser of tr4 or tr5: tr6 = 4.5 mm
ITEM NO. : DA-4302 162
Required per UG-45 is the larger of tr1 or tr6 = 4.5 mm
Available nozzle wall thickness new, tn = 0.8750*11.13 = 9.73 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 162.8360/88.9000 = 1.8317Do/t = 88.9000/0.433581 = 205.0365
From table G: A = 0.000242
From table CS-2 Metric: B = 231.3455kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*231.3455/(3*(88.9000/0.433581))
= 1.5044 kg/cm©÷
Design thickness for external pressure Pa = 1.5044 kg/cm2
= t + Corrosion = 0.433581 + 3.00 = 3.43 mm
ITEM NO. : DA-4302 163
L.R.C.A (N17)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 23.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 150.01 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #4
Liquid static head included: 0.0567 kg/cm2
Nozzle material specification: SA-106 B Smls. Pipe (II-D Metric p. 10, ln. 5)
Nozzle longitudinal joint efficiency: 1.00
Nozzle description: 2" Sch 160 DN 50
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 150.01 mm
Flange description: 2 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.72°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0.0552 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 90°
Local vessel minimum thickness: 23 mm
Nozzle center line offset to datum line: 1219 mm
End of nozzle to shell center: 700 mm
Nozzle inside diameter, new: 42.85 mm
Nozzle nominal wall thickness: 8.74 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 152 mm
Pad is split: no
ITEM NO. : DA-4302 164
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary(cm2)
For P = 13.47 kg/cm2 @ 220 °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) 6.42 7.65
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 pad fillet (Leg41) 4.02 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 4.02 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Fig UCS-66.2 general note (1) applies.
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.05853).
Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25102).
Nozzle UCS-66 governing thk: 7.65 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -105 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: (Rn + tn + t )= 50.16 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 28.34 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4723*24.42/(1203.264*1 - 0.6*13.4723)
= 0.27 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4723*528/(1407.207*1 - 0.6*13.4723)
= 5.08 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
ITEM NO. : DA-4302 165
Inner fillet: tmin = lesser of 19 mm or tn or te = 5.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.02 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 3.27 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.08 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.42 mm
The greater of tr2 or tr3: tr5 = 8.08 mm
The lesser of tr4 or tr5: tr6 = 6.42 mm
ITEM NO. : DA-4302 166
Required per UG-45 is the larger of tr1 or tr6 = 6.42 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary(cm2)
For P = 20.04 kg/cm2 @ 20 °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) 3.42 7.65
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 6.12 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: (Rn + tn + t )= 53.16 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 35.84 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*21.42/(1203.264*1 - 0.6*20.0375)
= 0.36 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 8.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
ITEM NO. : DA-4302 167
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 0.36 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 3.42 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
The lesser of tr4 or tr5: tr6 = 3.42 mm
ITEM NO. : DA-4302 168
Required per UG-45 is the larger of tr1 or tr6 = 3.42 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary(cm2)
For Pe = 8.82 kg/cm2 @ 220 °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) 6.32 7.65
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 pad fillet (Leg41) 4.02 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 4.02 14.00 weld size is adequate
Calculations for external pressure 8.82 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: (Rn + tn + t )= 50.16 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 28.34 mm
Nozzle required thickness per UG-28 trn = 0.68 mm
From UG-37(d)(1) required thickness tr = 20 mm
This opening does not require reinforcement per UG-36(c)(3)(a)
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 5.74 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 4.02 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 3.68 mm
ITEM NO. : DA-4302 169
Wall thickness per UG-45(b)(2): tr2 = 6.32 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 6.42 mm
The greater of tr2 or tr3: tr5 = 6.32 mm
The lesser of tr4 or tr5: tr6 = 6.32 mm
Required per UG-45 is the larger of tr1 or tr6 = 6.32 mm
Available nozzle wall thickness new, tn = 0.8750*8.74 = 7.65 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 152.8307/60.3250 = 2.5335Do/t = 60.3250/0.680187 = 88.6888
From table G: A = 0.000608
From table CS-2 Metric: B = 586.6413kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*586.6413/(3*(60.3250/0.680187))
= 8.8195 kg/cm©÷
Design thickness for external pressure Pa = 8.8195 kg/cm2
= t + Corrosion = 0.680187 + 3.00 = 3.68 mm
ITEM NO. : DA-4302 170
MANHOLE (A1a)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 14.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 1,150.00 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #1
Liquid static head included: 0 kg/cm2
Nozzle material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Nozzle longitudinal joint efficiency: 1.00
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 1150 mm
Flange description: 24 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 0°
Local vessel minimum thickness: 14 mm
Nozzle center line offset to datum line: 27290 mm
End of nozzle to shell center: 830 mm
Nozzle inside diameter, new: 581.6 mm
Nozzle nominal wall thickness: 14 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 291 mm
Pad is split: no
ITEM NO. : DA-4302 171
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary (cm2)For P = 13.47 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
19.9140 60.7392 17.3832 4.4935 -- 38.0522 0.8103 8.08 14.00
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-5,057 115,335 226,442 10,869 308,711 118,740 234,246
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.70 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25288).
Pad impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.45446)Rated MDMT is governed by UCS-66(b)(2).
Nozzle UCS-66 governing thk: 14 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -48 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 587.6 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4708*293.8/(1407.207*1 - 0.6*13.4708)
= 2.83 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4708*528/(1407.207*1 - 0.6*13.4708)
= 5.08 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
ITEM NO. : DA-4302 172
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 587.6*5.08*1 + 2*11*5.08*1*(1 - 1)
= 29.871 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 34.7664 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 587.6*(1*11 - 1*5.08) - 2*11*(1*11 - 1*5.08)*(1 - 1)
= 34.7664 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 11)*(1*11 - 1*5.08) - 2*11*(1*11 - 1*5.08)*(1 - 1)
= 2.6032 cm2
A2 = smaller of the following= 4.4935 cm2
= 5*(tn - trn)*fr2*t
= 5*(11 - 2.83)*1*11
= 4.4935 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11 - 2.83)*(2.5*11 + 14)*1
= 6.7813 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 102*1
= 1 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (1150 - 587.6 - 2*11)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 34.7664 + 4.4935 + 0.8103 + 1 + 75.656
= 116.7262 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
ITEM NO. : DA-4302 173
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 5.83 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.08 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.33 mm
The greater of tr2 or tr3: tr5 = 8.08 mm
The lesser of tr4 or tr5: tr6 = 8.08 mm
Required per UG-45 is the larger of tr1 or tr6 = 8.08 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1407.207 = 985.045 kg/cm2
Inner fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*609.6*9*689.532 = 59424 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*1150*10*689.532 = 124558.2 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*598.6*11*985.045 = 101884 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*11*1041.333 = 109687.7 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (2987.097 - 3476.638 + 2*11*1*(1*11 - 1*5.08))*1407.207
= -5057.13 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (449.3539 + 7565.598 + 81.0321 + 99.9998)*1407.207
= 115334.6 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (449.3539 + 0 + 81.0321 + 0 + 2*11*11*1)*1407.207
= 10869.16 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (449.3539 + 0 + 7565.598 + 81.0321 + 99.9998 + 0 + 2*11*11*1)*1407.207
= 118740.1 kgf
Load for path 1-1 lesser of W or W1-1 = -5057.13 kgfPath 1-1 through (2) & (3) = 124558.2 + 101884 = 226442.1 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
ITEM NO. : DA-4302 174
Load for path 2-2 lesser of W or W2-2 = -5057.13 kgfPath 2-2 through (1), (4), (6) = 59424 + 109687.7 + 139599.2 = 308711 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -5057.13 kgfPath 3-3 through (2), (4) = 124558.2 + 109687.7 = 234245.9 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Check the opening per Appendix 1-7
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*29.871 = 19.914 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 2.6032 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*440.7 - 587.6)*(1*11 - 1*5.08) - 2*11*(1*11 - 1*5.08)*(1 - 1)
= 17.3832 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (881.4 - 587.6 - 2*11)*14*1
= 38.0522 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 17.3832 + 4.4935 + 0 + 0.8103 + 0 + 0 + 38.0522
= 60.7392 cm2
The area placement requirements of Appendix 1-7 are satisfied.
The opening is not within the size range defined by 1-7(b)(1)(a) and (b) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).
Rn/R ratio does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1)(c).
% Extreme fiber elongation - UCS-79(d)
= (50*t / Rf)*(1 - Rf / Ro)
= (50*14 / 297.8)*(1 - 297.8 / ϒ⊆)
= 2.3506%
ITEM NO. : DA-4302 175
The extreme fiber elongation does not exceed 5%.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary (cm2)For P = 20.04 kg/cm2 @ 20 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
29.2351 63.2650 18.7858 6.8768 -- 36.7922 0.8103 7.54 14.00
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
11,384 118,526 253,579 16,334 338,622 124,042 264,157
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 9.80 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 581.6 mm
Normal to the vessel wall outside: 2.5*(t - C) = 35 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*290.8/(1407.207*1 - 0.6*20.0375)
= 4.18 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 581.6*7.54*1 + 2*14*7.54*1*(1 - 1)
ITEM NO. : DA-4302 176
= 43.8526 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 37.5715 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 581.6*(1*14 - 1*7.54) - 2*14*(1*14 - 1*7.54)*(1 - 1)
= 37.5715 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(14 + 14)*(1*14 - 1*7.54) - 2*14*(1*14 - 1*7.54)*(1 - 1)
= 3.6174 cm2
A2 = smaller of the following= 6.8768 cm2
= 5*(tn - trn)*fr2*t
= 5*(14 - 4.18)*1*14
= 6.8768 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(14 - 4.18)*(2.5*14 + 14)*1
= 9.6277 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 9.42*1
= 0.8845 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (1150 - 581.6 - 2*14)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 37.5715 + 6.8768 + 0.8103 + 0.8845 + 75.656
= 121.7991 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 14 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 4.18 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 8.33 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
ITEM NO. : DA-4302 177
The lesser of tr4 or tr5: tr6 = 7.54 mm
Required per UG-45 is the larger of tr1 or tr6 = 7.54 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1407.207 = 985.045 kg/cm2
Inner fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*609.6*9*689.532 = 59424 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*1150*10*689.532 = 124558.2 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*595.6*14*985.045 = 129020.6 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (4385.258 - 3757.154 + 2*14*1*(1*14 - 1*7.54))*1407.207
= 11384.1 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (687.676 + 7565.599 + 81.0321 + 88.4514)*1407.207
= 118525.8 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (687.676 + 0 + 81.0321 + 0 + 2*14*14*1)*1407.207
= 16333.58 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (687.676 + 0 + 7565.599 + 81.0321 + 88.4514 + 0 + 2*14*14*1)*1407.207
= 124042 kgf
Load for path 1-1 lesser of W or W1-1 = 11384.1 kgfPath 1-1 through (2) & (3) = 124558.2 + 129020.6 = 253578.8 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 11384.1 kgfPath 2-2 through (1), (4), (6) = 59424 + 139599.2 + 139599.2 = 338622.5 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = 11384.1 kgfPath 3-3 through (2), (4) = 124558.2 + 139599.2 = 264157.4 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Check the opening per Appendix 1-7
ITEM NO. : DA-4302 178
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*43.8526 = 29.2351 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 3.6174 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*436.2 - 581.6)*(1*14 - 1*7.54) - 2*14*(1*14 - 1*7.54)*(1 - 1)
= 18.7858 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (872.4 - 581.6 - 2*14)*14*1
= 36.7922 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 18.7858 + 6.8768 + 0 + 0.8103 + 0 + 0 + 36.7922
= 63.265 cm2
ITEM NO. : DA-4302 179
The area placement requirements of Appendix 1-7 are satisfied.
The opening is not within the size range defined by 1-7(b)(1)(a) and (b) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).
Rn/R ratio does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1)(c).
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2)For Pe = 1.5 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
21.5458 43.8709 -- 5.0084 -- 38.0522 0.8103 4.89 14.00
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.70 14.00 weld size is adequate
Calculations for external pressure 1.5 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 587.6 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-28 trn = 1.89 mm
From UG-37(d)(1) required thickness tr = 11 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= 0.5*(587.6*11*1 + 2*11*11*1*(1 - 1))
= 32.3187 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
ITEM NO. : DA-4302 180
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 587.6*(1*11 - 1*11) - 2*11*(1*11 - 1*11)*(1 - 1)
= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 11)*(1*11 - 1*11) - 2*11*(1*11 - 1*11)*(1 - 1)
= 0 cm2
A2 = smaller of the following= 5.0084 cm2
= 5*(tn - trn)*fr2*t
= 5*(11 - 1.89)*1*11
= 5.0084 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11 - 1.89)*(2.5*11 + 14)*1
= 7.558 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 102*1
= 1 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (1150 - 587.6 - 2*11)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 5.0084 + 0.8103 + 1 + 75.656
= 82.4747 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 4.89 mm
Wall thickness per UG-45(b)(2): tr2 = 3.56 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.33 mm
The greater of tr2 or tr3: tr5 = 4.5 mm
The lesser of tr4 or tr5: tr6 = 4.5 mm
Required per UG-45 is the larger of tr1 or tr6 = 4.89 mm
Available nozzle wall thickness new, tn = 14 mm
ITEM NO. : DA-4302 181
The nozzle neck thickness is adequate.
Check the opening per Appendix 1-7
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*32.3187 = 21.5458 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 0 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*440.7 - 587.6)*(1*11 - 1*11) - 2*11*(1*11 - 1*11)*(1 - 1)
= 0 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (881.4 - 587.6 - 2*11)*14*1
= 38.0522 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 0 + 5.0084 + 0 + 0.8103 + 0 + 0 + 38.0522
= 43.8709 cm2
The area placement requirements of Appendix 1-7 are satisfied.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 385.4576/609.6000 = 0.6323Do/t = 609.6000/1.893643 = 321.9192
From table G: A = 0.000378
From table CS-2 Metric: B = 363.2129kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*363.2129/(3*(609.6000/1.893643))
= 1.5044 kg/cm©÷
Design thickness for external pressure Pa = 1.5044 kg/cm2
= t + Corrosion = 1.893643 + 3.00 = 4.89 mm
ITEM NO. : DA-4302 182
MANHOLE (A1b)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 14.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 1,150.00 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #1
Liquid static head included: 0 kg/cm2
Nozzle material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Nozzle longitudinal joint efficiency: 1.00
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 1150 mm
Flange description: 24 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 0°
Local vessel minimum thickness: 14 mm
Nozzle center line offset to datum line: 19090 mm
End of nozzle to shell center: 830 mm
Nozzle inside diameter, new: 581.6 mm
Nozzle nominal wall thickness: 14 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 291 mm
Pad is split: no
ITEM NO. : DA-4302 183
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary (cm2)For P = 13.47 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
19.9140 60.7392 17.3832 4.4935 -- 38.0522 0.8103 8.08 14.00
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-5,057 115,335 226,442 10,869 308,711 118,740 234,246
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.70 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25288).
Pad impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.45446)Rated MDMT is governed by UCS-66(b)(2).
Nozzle UCS-66 governing thk: 14 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -48 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 587.6 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4708*293.8/(1407.207*1 - 0.6*13.4708)
= 2.83 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4708*528/(1407.207*1 - 0.6*13.4708)
= 5.08 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
ITEM NO. : DA-4302 184
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 587.6*5.08*1 + 2*11*5.08*1*(1 - 1)
= 29.871 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 34.7664 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 587.6*(1*11 - 1*5.08) - 2*11*(1*11 - 1*5.08)*(1 - 1)
= 34.7664 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 11)*(1*11 - 1*5.08) - 2*11*(1*11 - 1*5.08)*(1 - 1)
= 2.6032 cm2
A2 = smaller of the following= 4.4935 cm2
= 5*(tn - trn)*fr2*t
= 5*(11 - 2.83)*1*11
= 4.4935 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11 - 2.83)*(2.5*11 + 14)*1
= 6.7813 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 102*1
= 1 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (1150 - 587.6 - 2*11)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 34.7664 + 4.4935 + 0.8103 + 1 + 75.656
= 116.7262 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
ITEM NO. : DA-4302 185
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 5.83 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.08 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.33 mm
The greater of tr2 or tr3: tr5 = 8.08 mm
The lesser of tr4 or tr5: tr6 = 8.08 mm
Required per UG-45 is the larger of tr1 or tr6 = 8.08 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1407.207 = 985.045 kg/cm2
Inner fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*609.6*9*689.532 = 59424 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*1150*10*689.532 = 124558.2 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*598.6*11*985.045 = 101884 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*11*1041.333 = 109687.7 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (2987.097 - 3476.638 + 2*11*1*(1*11 - 1*5.08))*1407.207
= -5057.13 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (449.3539 + 7565.598 + 81.0321 + 99.9998)*1407.207
= 115334.6 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (449.3539 + 0 + 81.0321 + 0 + 2*11*11*1)*1407.207
= 10869.16 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (449.3539 + 0 + 7565.598 + 81.0321 + 99.9998 + 0 + 2*11*11*1)*1407.207
= 118740.1 kgf
Load for path 1-1 lesser of W or W1-1 = -5057.13 kgfPath 1-1 through (2) & (3) = 124558.2 + 101884 = 226442.1 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
ITEM NO. : DA-4302 186
Load for path 2-2 lesser of W or W2-2 = -5057.13 kgfPath 2-2 through (1), (4), (6) = 59424 + 109687.7 + 139599.2 = 308711 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -5057.13 kgfPath 3-3 through (2), (4) = 124558.2 + 109687.7 = 234245.9 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Check the opening per Appendix 1-7
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*29.871 = 19.914 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 2.6032 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*440.7 - 587.6)*(1*11 - 1*5.08) - 2*11*(1*11 - 1*5.08)*(1 - 1)
= 17.3832 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (881.4 - 587.6 - 2*11)*14*1
= 38.0522 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 17.3832 + 4.4935 + 0 + 0.8103 + 0 + 0 + 38.0522
= 60.7392 cm2
The area placement requirements of Appendix 1-7 are satisfied.
The opening is not within the size range defined by 1-7(b)(1)(a) and (b) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).
Rn/R ratio does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1)(c).
% Extreme fiber elongation - UCS-79(d)
= (50*t / Rf)*(1 - Rf / Ro)
= (50*14 / 297.8)*(1 - 297.8 / ϒ⊆)
= 2.3506%
ITEM NO. : DA-4302 187
The extreme fiber elongation does not exceed 5%.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary (cm2)For P = 20.04 kg/cm2 @ 20 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
29.2351 63.2650 18.7858 6.8768 -- 36.7922 0.8103 7.54 14.00
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
11,384 118,526 253,579 16,334 338,622 124,042 264,157
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 9.80 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 581.6 mm
Normal to the vessel wall outside: 2.5*(t - C) = 35 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*290.8/(1407.207*1 - 0.6*20.0375)
= 4.18 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 581.6*7.54*1 + 2*14*7.54*1*(1 - 1)
ITEM NO. : DA-4302 188
= 43.8526 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 37.5715 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 581.6*(1*14 - 1*7.54) - 2*14*(1*14 - 1*7.54)*(1 - 1)
= 37.5715 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(14 + 14)*(1*14 - 1*7.54) - 2*14*(1*14 - 1*7.54)*(1 - 1)
= 3.6174 cm2
A2 = smaller of the following= 6.8768 cm2
= 5*(tn - trn)*fr2*t
= 5*(14 - 4.18)*1*14
= 6.8768 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(14 - 4.18)*(2.5*14 + 14)*1
= 9.6277 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 9.42*1
= 0.8845 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (1150 - 581.6 - 2*14)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 37.5715 + 6.8768 + 0.8103 + 0.8845 + 75.656
= 121.7991 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 14 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 4.18 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 8.33 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
ITEM NO. : DA-4302 189
The lesser of tr4 or tr5: tr6 = 7.54 mm
Required per UG-45 is the larger of tr1 or tr6 = 7.54 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1407.207 = 985.045 kg/cm2
Inner fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*609.6*9*689.532 = 59424 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*1150*10*689.532 = 124558.2 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*595.6*14*985.045 = 129020.6 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (4385.258 - 3757.154 + 2*14*1*(1*14 - 1*7.54))*1407.207
= 11384.1 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (687.676 + 7565.599 + 81.0321 + 88.4514)*1407.207
= 118525.8 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (687.676 + 0 + 81.0321 + 0 + 2*14*14*1)*1407.207
= 16333.58 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (687.676 + 0 + 7565.599 + 81.0321 + 88.4514 + 0 + 2*14*14*1)*1407.207
= 124042 kgf
Load for path 1-1 lesser of W or W1-1 = 11384.1 kgfPath 1-1 through (2) & (3) = 124558.2 + 129020.6 = 253578.8 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 11384.1 kgfPath 2-2 through (1), (4), (6) = 59424 + 139599.2 + 139599.2 = 338622.5 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = 11384.1 kgfPath 3-3 through (2), (4) = 124558.2 + 139599.2 = 264157.4 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Check the opening per Appendix 1-7
ITEM NO. : DA-4302 190
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*43.8526 = 29.2351 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 3.6174 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*436.2 - 581.6)*(1*14 - 1*7.54) - 2*14*(1*14 - 1*7.54)*(1 - 1)
= 18.7858 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (872.4 - 581.6 - 2*14)*14*1
= 36.7922 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 18.7858 + 6.8768 + 0 + 0.8103 + 0 + 0 + 36.7922
= 63.265 cm2
ITEM NO. : DA-4302 191
The area placement requirements of Appendix 1-7 are satisfied.
The opening is not within the size range defined by 1-7(b)(1)(a) and (b) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).
Rn/R ratio does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1)(c).
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2)For Pe = 1.5 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
21.5458 43.8709 -- 5.0084 -- 38.0522 0.8103 4.89 14.00
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.70 14.00 weld size is adequate
Calculations for external pressure 1.5 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 587.6 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-28 trn = 1.89 mm
From UG-37(d)(1) required thickness tr = 11 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= 0.5*(587.6*11*1 + 2*11*11*1*(1 - 1))
= 32.3187 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
ITEM NO. : DA-4302 192
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 587.6*(1*11 - 1*11) - 2*11*(1*11 - 1*11)*(1 - 1)
= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 11)*(1*11 - 1*11) - 2*11*(1*11 - 1*11)*(1 - 1)
= 0 cm2
A2 = smaller of the following= 5.0084 cm2
= 5*(tn - trn)*fr2*t
= 5*(11 - 1.89)*1*11
= 5.0084 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11 - 1.89)*(2.5*11 + 14)*1
= 7.558 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 102*1
= 1 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (1150 - 587.6 - 2*11)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 5.0084 + 0.8103 + 1 + 75.656
= 82.4747 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 4.89 mm
Wall thickness per UG-45(b)(2): tr2 = 3.56 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.33 mm
The greater of tr2 or tr3: tr5 = 4.5 mm
The lesser of tr4 or tr5: tr6 = 4.5 mm
Required per UG-45 is the larger of tr1 or tr6 = 4.89 mm
Available nozzle wall thickness new, tn = 14 mm
ITEM NO. : DA-4302 193
The nozzle neck thickness is adequate.
Check the opening per Appendix 1-7
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*32.3187 = 21.5458 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 0 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*440.7 - 587.6)*(1*11 - 1*11) - 2*11*(1*11 - 1*11)*(1 - 1)
= 0 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (881.4 - 587.6 - 2*11)*14*1
= 38.0522 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 0 + 5.0084 + 0 + 0.8103 + 0 + 0 + 38.0522
= 43.8709 cm2
The area placement requirements of Appendix 1-7 are satisfied.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 385.4576/609.6000 = 0.6323Do/t = 609.6000/1.893643 = 321.9192
From table G: A = 0.000378
From table CS-2 Metric: B = 363.2129kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*363.2129/(3*(609.6000/1.893643))
= 1.5044 kg/cm©÷
Design thickness for external pressure Pa = 1.5044 kg/cm2
= t + Corrosion = 1.893643 + 3.00 = 4.89 mm
ITEM NO. : DA-4302 194
MANHOLE (A1c)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 14.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 1,150.00 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #1
Liquid static head included: 0 kg/cm2
Nozzle material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Nozzle longitudinal joint efficiency: 1.00
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 1150 mm
Flange description: 24 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 0°
Local vessel minimum thickness: 14 mm
Nozzle center line offset to datum line: 15100 mm
End of nozzle to shell center: 830 mm
Nozzle inside diameter, new: 581.6 mm
Nozzle nominal wall thickness: 14 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 291 mm
Pad is split: no
ITEM NO. : DA-4302 195
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary (cm2)For P = 13.47 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
19.9140 60.7392 17.3832 4.4935 -- 38.0522 0.8103 8.08 14.00
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-5,057 115,335 226,442 10,869 308,711 118,740 234,246
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.70 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25288).
Pad impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.45446)Rated MDMT is governed by UCS-66(b)(2).
Nozzle UCS-66 governing thk: 14 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -48 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 587.6 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4708*293.8/(1407.207*1 - 0.6*13.4708)
= 2.83 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4708*528/(1407.207*1 - 0.6*13.4708)
= 5.08 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
ITEM NO. : DA-4302 196
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 587.6*5.08*1 + 2*11*5.08*1*(1 - 1)
= 29.871 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 34.7664 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 587.6*(1*11 - 1*5.08) - 2*11*(1*11 - 1*5.08)*(1 - 1)
= 34.7664 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 11)*(1*11 - 1*5.08) - 2*11*(1*11 - 1*5.08)*(1 - 1)
= 2.6032 cm2
A2 = smaller of the following= 4.4935 cm2
= 5*(tn - trn)*fr2*t
= 5*(11 - 2.83)*1*11
= 4.4935 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11 - 2.83)*(2.5*11 + 14)*1
= 6.7813 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 102*1
= 1 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (1150 - 587.6 - 2*11)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 34.7664 + 4.4935 + 0.8103 + 1 + 75.656
= 116.7262 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
ITEM NO. : DA-4302 197
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 5.83 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.08 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.33 mm
The greater of tr2 or tr3: tr5 = 8.08 mm
The lesser of tr4 or tr5: tr6 = 8.08 mm
Required per UG-45 is the larger of tr1 or tr6 = 8.08 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1407.207 = 985.045 kg/cm2
Inner fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*609.6*9*689.532 = 59424 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*1150*10*689.532 = 124558.2 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*598.6*11*985.045 = 101884 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*11*1041.333 = 109687.7 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (2987.097 - 3476.638 + 2*11*1*(1*11 - 1*5.08))*1407.207
= -5057.13 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (449.3539 + 7565.598 + 81.0321 + 99.9998)*1407.207
= 115334.6 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (449.3539 + 0 + 81.0321 + 0 + 2*11*11*1)*1407.207
= 10869.16 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (449.3539 + 0 + 7565.598 + 81.0321 + 99.9998 + 0 + 2*11*11*1)*1407.207
= 118740.1 kgf
Load for path 1-1 lesser of W or W1-1 = -5057.13 kgfPath 1-1 through (2) & (3) = 124558.2 + 101884 = 226442.1 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
ITEM NO. : DA-4302 198
Load for path 2-2 lesser of W or W2-2 = -5057.13 kgfPath 2-2 through (1), (4), (6) = 59424 + 109687.7 + 139599.2 = 308711 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -5057.13 kgfPath 3-3 through (2), (4) = 124558.2 + 109687.7 = 234245.9 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Check the opening per Appendix 1-7
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*29.871 = 19.914 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 2.6032 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*440.7 - 587.6)*(1*11 - 1*5.08) - 2*11*(1*11 - 1*5.08)*(1 - 1)
= 17.3832 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (881.4 - 587.6 - 2*11)*14*1
= 38.0522 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 17.3832 + 4.4935 + 0 + 0.8103 + 0 + 0 + 38.0522
= 60.7392 cm2
The area placement requirements of Appendix 1-7 are satisfied.
The opening is not within the size range defined by 1-7(b)(1)(a) and (b) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).
Rn/R ratio does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1)(c).
% Extreme fiber elongation - UCS-79(d)
= (50*t / Rf)*(1 - Rf / Ro)
= (50*14 / 297.8)*(1 - 297.8 / ϒ⊆)
= 2.3506%
ITEM NO. : DA-4302 199
The extreme fiber elongation does not exceed 5%.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary (cm2)For P = 20.04 kg/cm2 @ 20 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
29.2351 63.2650 18.7858 6.8768 -- 36.7922 0.8103 7.54 14.00
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
11,384 118,526 253,579 16,334 338,622 124,042 264,157
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 9.80 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 581.6 mm
Normal to the vessel wall outside: 2.5*(t - C) = 35 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*290.8/(1407.207*1 - 0.6*20.0375)
= 4.18 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 581.6*7.54*1 + 2*14*7.54*1*(1 - 1)
ITEM NO. : DA-4302 200
= 43.8526 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 37.5715 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 581.6*(1*14 - 1*7.54) - 2*14*(1*14 - 1*7.54)*(1 - 1)
= 37.5715 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(14 + 14)*(1*14 - 1*7.54) - 2*14*(1*14 - 1*7.54)*(1 - 1)
= 3.6174 cm2
A2 = smaller of the following= 6.8768 cm2
= 5*(tn - trn)*fr2*t
= 5*(14 - 4.18)*1*14
= 6.8768 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(14 - 4.18)*(2.5*14 + 14)*1
= 9.6277 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 9.42*1
= 0.8845 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (1150 - 581.6 - 2*14)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 37.5715 + 6.8768 + 0.8103 + 0.8845 + 75.656
= 121.7991 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 14 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 4.18 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 8.33 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
ITEM NO. : DA-4302 201
The lesser of tr4 or tr5: tr6 = 7.54 mm
Required per UG-45 is the larger of tr1 or tr6 = 7.54 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1407.207 = 985.045 kg/cm2
Inner fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*609.6*9*689.532 = 59424 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*1150*10*689.532 = 124558.2 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*595.6*14*985.045 = 129020.6 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (4385.258 - 3757.154 + 2*14*1*(1*14 - 1*7.54))*1407.207
= 11384.1 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (687.676 + 7565.599 + 81.0321 + 88.4514)*1407.207
= 118525.8 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (687.676 + 0 + 81.0321 + 0 + 2*14*14*1)*1407.207
= 16333.58 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (687.676 + 0 + 7565.599 + 81.0321 + 88.4514 + 0 + 2*14*14*1)*1407.207
= 124042 kgf
Load for path 1-1 lesser of W or W1-1 = 11384.1 kgfPath 1-1 through (2) & (3) = 124558.2 + 129020.6 = 253578.8 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 11384.1 kgfPath 2-2 through (1), (4), (6) = 59424 + 139599.2 + 139599.2 = 338622.5 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = 11384.1 kgfPath 3-3 through (2), (4) = 124558.2 + 139599.2 = 264157.4 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Check the opening per Appendix 1-7
ITEM NO. : DA-4302 202
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*43.8526 = 29.2351 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 3.6174 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*436.2 - 581.6)*(1*14 - 1*7.54) - 2*14*(1*14 - 1*7.54)*(1 - 1)
= 18.7858 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (872.4 - 581.6 - 2*14)*14*1
= 36.7922 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 18.7858 + 6.8768 + 0 + 0.8103 + 0 + 0 + 36.7922
= 63.265 cm2
ITEM NO. : DA-4302 203
The area placement requirements of Appendix 1-7 are satisfied.
The opening is not within the size range defined by 1-7(b)(1)(a) and (b) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).
Rn/R ratio does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1)(c).
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2)For Pe = 1.5 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
21.5458 43.8709 -- 5.0084 -- 38.0522 0.8103 4.89 14.00
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.70 14.00 weld size is adequate
Calculations for external pressure 1.5 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 587.6 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-28 trn = 1.89 mm
From UG-37(d)(1) required thickness tr = 11 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= 0.5*(587.6*11*1 + 2*11*11*1*(1 - 1))
= 32.3187 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
ITEM NO. : DA-4302 204
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 587.6*(1*11 - 1*11) - 2*11*(1*11 - 1*11)*(1 - 1)
= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 11)*(1*11 - 1*11) - 2*11*(1*11 - 1*11)*(1 - 1)
= 0 cm2
A2 = smaller of the following= 5.0084 cm2
= 5*(tn - trn)*fr2*t
= 5*(11 - 1.89)*1*11
= 5.0084 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11 - 1.89)*(2.5*11 + 14)*1
= 7.558 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 102*1
= 1 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (1150 - 587.6 - 2*11)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 5.0084 + 0.8103 + 1 + 75.656
= 82.4747 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 4.89 mm
Wall thickness per UG-45(b)(2): tr2 = 3.56 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.33 mm
The greater of tr2 or tr3: tr5 = 4.5 mm
The lesser of tr4 or tr5: tr6 = 4.5 mm
Required per UG-45 is the larger of tr1 or tr6 = 4.89 mm
Available nozzle wall thickness new, tn = 14 mm
ITEM NO. : DA-4302 205
The nozzle neck thickness is adequate.
Check the opening per Appendix 1-7
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*32.3187 = 21.5458 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 0 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*440.7 - 587.6)*(1*11 - 1*11) - 2*11*(1*11 - 1*11)*(1 - 1)
= 0 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (881.4 - 587.6 - 2*11)*14*1
= 38.0522 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 0 + 5.0084 + 0 + 0.8103 + 0 + 0 + 38.0522
= 43.8709 cm2
The area placement requirements of Appendix 1-7 are satisfied.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 385.4576/609.6000 = 0.6323Do/t = 609.6000/1.893643 = 321.9192
From table G: A = 0.000378
From table CS-2 Metric: B = 363.2129kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*363.2129/(3*(609.6000/1.893643))
= 1.5044 kg/cm©÷
Design thickness for external pressure Pa = 1.5044 kg/cm2
= t + Corrosion = 1.893643 + 3.00 = 4.89 mm
ITEM NO. : DA-4302 206
MANHOLE (A2a)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 14.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 870.00 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #1
Liquid static head included: 0 kg/cm2
Nozzle material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Nozzle longitudinal joint efficiency: 1.00
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 870 mm
Flange description: 18 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 90°
Local vessel minimum thickness: 14 mm
Nozzle center line offset to datum line: 24640 mm
End of nozzle to shell center: 800 mm
Nozzle inside diameter, new: 429.2 mm
Nozzle nominal wall thickness: 14 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 261 mm
Pad is split: no
ITEM NO. : DA-4302 207
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary (cm2)For P = 13.47 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
22.1236 89.2887 25.7496 4.8974 -- 57.7920 0.8497 8.08 14.00
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-3,271 89,413 170,176 11,437 231,533 92,818 176,497
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.70 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.1873).
Pad impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 37.9 °C, (coincident ratio = 0.45446)Rated MDMT is governed by UCS-66(b)(2).
Nozzle UCS-66 governing thk: 14 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -48 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 435.2 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4708*217.6/(1407.207*1 - 0.6*13.4708)
= 2.1 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4708*528/(1407.207*1 - 0.6*13.4708)
= 5.08 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
ITEM NO. : DA-4302 208
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 435.2*5.08*1 + 2*11*5.08*1*(1 - 1)
= 22.1236 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 25.7496 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 435.2*(1*11 - 1*5.08) - 2*11*(1*11 - 1*5.08)*(1 - 1)
= 25.7496 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 11)*(1*11 - 1*5.08) - 2*11*(1*11 - 1*5.08)*(1 - 1)
= 2.6032 cm2
A2 = smaller of the following= 4.8974 cm2
= 5*(tn - trn)*fr2*t
= 5*(11 - 2.1)*1*11
= 4.8974 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11 - 2.1)*(2.5*11 + 14)*1
= 7.391 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 1.992*1
= 0.0394 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (870 - 435.2 - 2*11)*14*1
= 57.792 cm2
Area = A1 + A2 + A41 + A42 + A5
= 25.7496 + 4.8974 + 0.8103 + 0.0394 + 57.792
= 89.2887 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
ITEM NO. : DA-4302 209
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 5.1 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.08 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.33 mm
The greater of tr2 or tr3: tr5 = 8.08 mm
The lesser of tr4 or tr5: tr6 = 8.08 mm
Required per UG-45 is the larger of tr1 or tr6 = 8.08 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1407.207 = 985.045 kg/cm2
Inner fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*457.2*9*689.532 = 44568 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*870*10*689.532 = 94230.97 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*446.2*11*985.045 = 75944.91 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*457.2*11*1041.333 = 82265.77 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*457.2*14*1041.333 = 104699.4 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (2212.364 - 2574.962 + 2*11*1*(1*11 - 1*5.08))*1407.207
= -3270.79 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (489.7409 + 5779.199 + 81.0321 + 3.9355)*1407.207
= 89412.73 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (489.7409 + 0 + 81.0321 + 0 + 2*11*11*1)*1407.207
= 11437.49 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (489.7409 + 0 + 5779.199 + 81.0321 + 3.9355 + 0 + 2*11*11*1)*1407.207
= 92818.25 kgf
Load for path 1-1 lesser of W or W1-1 = -3270.79 kgfPath 1-1 through (2) & (3) = 94230.97 + 75944.91 = 170175.9 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
ITEM NO. : DA-4302 210
Load for path 2-2 lesser of W or W2-2 = -3270.79 kgfPath 2-2 through (1), (4), (6) = 44568 + 82265.77 + 104699.4 = 231533.2 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -3270.79 kgfPath 3-3 through (2), (4) = 94230.97 + 82265.77 = 176496.7 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
% Extreme fiber elongation - UCS-79(d)
= (50*t / Rf)*(1 - Rf / Ro)
= (50*14 / 221.6)*(1 - 221.6 / ϒ⊆)
= 3.1588%
ITEM NO. : DA-4302 211
The extreme fiber elongation does not exceed 5%.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary (cm2)For P = 20.04 kg/cm2 @ 20 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
32.3616 92.3479 27.7264 7.6432 -- 56.1680 0.8103 7.54 14.00
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
9,068 90,936 190,238 17,412 253,967 96,452 198,930
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 9.80 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 429.2 mm
Normal to the vessel wall outside: 2.5*(t - C) = 35 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*214.6/(1407.207*1 - 0.6*20.0375)
= 3.08 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 429.2*7.54*1 + 2*14*7.54*1*(1 - 1)
ITEM NO. : DA-4302 212
= 32.3616 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 27.7264 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 429.2*(1*14 - 1*7.54) - 2*14*(1*14 - 1*7.54)*(1 - 1)
= 27.7264 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(14 + 14)*(1*14 - 1*7.54) - 2*14*(1*14 - 1*7.54)*(1 - 1)
= 3.6174 cm2
A2 = smaller of the following= 7.6432 cm2
= 5*(tn - trn)*fr2*t
= 5*(14 - 3.08)*1*14
= 7.6432 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(14 - 3.08)*(2.5*14 + 14)*1
= 10.7006 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 02*1
= 0 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (858.4 - 429.2 - 2*14)*14*1
= 56.168 cm2
Area = A1 + A2 + A41 + A42 + A5
= 27.7264 + 7.6432 + 0.8103 + 0 + 56.168
= 92.3479 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 14 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 3.08 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 8.33 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
ITEM NO. : DA-4302 213
The lesser of tr4 or tr5: tr6 = 7.54 mm
Required per UG-45 is the larger of tr1 or tr6 = 7.54 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1407.207 = 985.045 kg/cm2
Inner fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*457.2*9*689.532 = 44568 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*870*10*689.532 = 94230.97 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*443.2*14*985.045 = 96007.28 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*457.2*14*1041.333 = 104699.4 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*457.2*14*1041.333 = 104699.4 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (3236.164 - 2772.639 + 2*14*1*(1*14 - 1*7.54))*1407.207
= 9068.11 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (764.321 + 5616.8 + 81.0321 + 0)*1407.207
= 90935.97 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (764.321 + 0 + 81.0321 + 0 + 2*14*14*1)*1407.207
= 17412.14 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (764.321 + 0 + 5616.8 + 81.0321 + 0 + 0 + 2*14*14*1)*1407.207
= 96452.23 kgf
ITEM NO. : DA-4302 214
Load for path 1-1 lesser of W or W1-1 = 9068.11 kgfPath 1-1 through (2) & (3) = 94230.97 + 96007.28 = 190238.3 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = 9068.11 kgfPath 2-2 through (1), (4), (6) = 44568 + 104699.4 + 104699.4 = 253966.9 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = 9068.11 kgfPath 3-3 through (2), (4) = 94230.97 + 104699.4 = 198930.4 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2)For Pe = 1.5 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
23.9365 63.8817 -- 5.2400 -- 57.7920 0.8497 4.50 14.00
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 5.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.70 14.00 weld size is adequate
Calculations for external pressure 1.5 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 435.2 mm
Normal to the vessel wall outside: 2.5*(t - C) = 27.5 mm
Nozzle required thickness per UG-28 trn = 1.47 mm
From UG-37(d)(1) required thickness tr = 11 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= 0.5*(435.2*11*1 + 2*11*11*1*(1 - 1))
= 23.9365 cm2
ITEM NO. : DA-4302 215
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 435.2*(1*11 - 1*11) - 2*11*(1*11 - 1*11)*(1 - 1)
= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(11 + 11)*(1*11 - 1*11) - 2*11*(1*11 - 1*11)*(1 - 1)
= 0 cm2
A2 = smaller of the following= 5.24 cm2
= 5*(tn - trn)*fr2*t
= 5*(11 - 1.47)*1*11
= 5.24 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11 - 1.47)*(2.5*11 + 14)*1
= 7.9077 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 1.992*1
= 0.0394 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (870 - 435.2 - 2*11)*14*1
= 57.792 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 5.24 + 0.8103 + 0.0394 + 57.792
= 63.8817 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 11 mm
tw(min) = 0.5*tmin = 5.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 4.47 mm
Wall thickness per UG-45(b)(2): tr2 = 3.56 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.33 mm
The greater of tr2 or tr3: tr5 = 4.5 mm
The lesser of tr4 or tr5: tr6 = 4.5 mm
ITEM NO. : DA-4302 216
Required per UG-45 is the larger of tr1 or tr6 = 4.5 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 311.8781/457.2000 = 0.6821Do/t = 457.2000/1.472681 = 310.4543
From table G: A = 0.000365
From table CS-2 Metric: B = 350.2788kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*350.2788/(3*(457.2000/1.472681))
= 1.5044 kg/cm©÷
Design thickness for external pressure Pa = 1.5044 kg/cm2
= t + Corrosion = 1.472681 + 3.00 = 4.47 mm
ITEM NO. : DA-4302 217
MANHOLE (A1e)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 23.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 1,150.00 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #4
Liquid static head included: 0.1124 kg/cm2
Nozzle material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Nozzle longitudinal joint efficiency: 1.00
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 1150 mm
Flange description: 24 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.61°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0.0918 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 0°
Local vessel minimum thickness: 23 mm
Nozzle center line offset to datum line: 700 mm
End of nozzle to shell center: 830 mm
Nozzle inside diameter, new: 581.6 mm
Nozzle nominal wall thickness: 14 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 282 mm
Pad is split: no
ITEM NO. : DA-4302 218
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary (cm2)For P = 13.49 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
19.9448 89.4437 43.8018 6.7793 -- 38.0522 0.8103 8.09 14.00
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-76,562 118,551 226,442 16,872 398,453 124,743 323,988
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.70 14.00 weld size is adequate
Calculations for internal pressure 13.49 kg/cm2 @ 220 °C
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25504).
Pad is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25208).
Nozzle UCS-66 governing thk: 14 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -105 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 587.6 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 41.5 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4913*293.8/(1407.207*1 - 0.6*13.4913)
= 2.83 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4913*528/(1407.207*1 - 0.6*13.4913)
= 5.09 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1
ITEM NO. : DA-4302 219
fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 587.6*5.09*1 + 2*11*5.09*1*(1 - 1)
= 29.9172 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 87.6043 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 587.6*(1*20 - 1*5.09) - 2*11*(1*20 - 1*5.09)*(1 - 1)
= 87.6043 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(20 + 11)*(1*20 - 1*5.09) - 2*11*(1*20 - 1*5.09)*(1 - 1)
= 9.2439 cm2
A2 = smaller of the following= 6.7793 cm2
= 5*(tn - trn)*fr2*t
= 5*(11 - 2.83)*1*20
= 8.1677 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11 - 2.83)*(2.5*11 + 14)*1
= 6.7793 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 102*1
= 1 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (1150 - 587.6 - 2*11)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 87.6043 + 6.7793 + 0.8103 + 1 + 75.656
= 171.85 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
ITEM NO. : DA-4302 220
Wall thickness per UG-45(a): tr1 = 5.83 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.09 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.33 mm
The greater of tr2 or tr3: tr5 = 8.09 mm
The lesser of tr4 or tr5: tr6 = 8.09 mm
Required per UG-45 is the larger of tr1 or tr6 = 8.09 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1407.207 = 985.045 kg/cm2
Inner fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*609.6*9*689.532 = 59424 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*1150*10*689.532 = 124558.2 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*598.6*11*985.045 = 101884 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*20*1041.333 = 199430.1 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (2991.724 - 8760.434 + 2*11*1*(1*20 - 1*5.09))*1407.207
= -76562.21 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (677.9341 + 7565.598 + 81.0321 + 99.9998)*1407.207
= 118551.2 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (677.9341 + 0 + 81.0321 + 0 + 2*11*20*1)*1407.207
= 16872.04 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (677.9341 + 0 + 7565.598 + 81.0321 + 99.9998 + 0 + 2*11*20*1)*1407.207
= 124743 kgf
Load for path 1-1 lesser of W or W1-1 = -76562.21 kgfPath 1-1 through (2) & (3) = 124558.2 + 101884 = 226442.1 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = -76562.21 kgfPath 2-2 through (1), (4), (6) = 59424 + 199430.1 + 139599.2 = 398453.3 kgf
ITEM NO. : DA-4302 221
Path 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -76562.21 kgfPath 3-3 through (2), (4) = 124558.2 + 199430.1 = 323988.2 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Check the opening per Appendix 1-7
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*29.9172 = 19.9448 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 9.2439 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*440.7 - 587.6)*(1*20 - 1*5.09) - 2*11*(1*20 - 1*5.09)*(1 - 1)
= 43.8018 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (881.4 - 587.6 - 2*11)*14*1
= 38.0522 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 43.8018 + 6.7793 + 0 + 0.8103 + 0 + 0 + 38.0522
= 89.4437 cm2
The area placement requirements of Appendix 1-7 are satisfied.
The opening is not within the size range defined by 1-7(b)(1)(a) and (b) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).
Rn/R ratio does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1)(c).
% Extreme fiber elongation - UCS-79(d)
= (50*t / Rf)*(1 - Rf / Ro)
= (50*14 / 297.8)*(1 - 297.8 / ϒ⊆)
= 2.3506%
ITEM NO. : DA-4302 222
The extreme fiber elongation does not exceed 5%.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary (cm2)For P = 20.04 kg/cm2 @ 20 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
29.2351 92.1882 44.9580 9.6277 -- 36.7922 0.8103 7.54 14.00
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-58,728 122,397 253,579 23,751 428,365 131,459 353,900
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 9.80 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 581.6 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 49 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*290.8/(1407.207*1 - 0.6*20.0375)
= 4.18 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 581.6*7.54*1 + 2*14*7.54*1*(1 - 1)
ITEM NO. : DA-4302 223
= 43.8526 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 89.9153 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 581.6*(1*23 - 1*7.54) - 2*14*(1*23 - 1*7.54)*(1 - 1)
= 89.9153 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(23 + 14)*(1*23 - 1*7.54) - 2*14*(1*23 - 1*7.54)*(1 - 1)
= 11.4406 cm2
A2 = smaller of the following= 9.6277 cm2
= 5*(tn - trn)*fr2*t
= 5*(14 - 4.18)*1*23
= 11.298 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(14 - 4.18)*(2.5*14 + 14)*1
= 9.6277 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 9.42*1
= 0.8845 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (1150 - 581.6 - 2*14)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 89.9153 + 9.6277 + 0.8103 + 0.8845 + 75.656
= 176.8939 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 14 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 4.18 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 8.33 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
ITEM NO. : DA-4302 224
The lesser of tr4 or tr5: tr6 = 7.54 mm
Required per UG-45 is the larger of tr1 or tr6 = 7.54 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1407.207 = 985.045 kg/cm2
Inner fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*609.6*9*689.532 = 59424 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*1150*10*689.532 = 124558.2 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*595.6*14*985.045 = 129020.6 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*23*1041.333 = 229341.6 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (4385.258 - 8991.53 + 2*14*1*(1*23 - 1*7.54))*1407.207
= -58728.32 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (962.7723 + 7565.599 + 81.0321 + 88.4514)*1407.207
= 122397 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (962.7723 + 0 + 81.0321 + 0 + 2*14*23*1)*1407.207
= 23750.93 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (962.7723 + 0 + 7565.599 + 81.0321 + 88.4514 + 0 + 2*14*23*1)*1407.207
= 131459.4 kgf
Load for path 1-1 lesser of W or W1-1 = -58728.32 kgfPath 1-1 through (2) & (3) = 124558.2 + 129020.6 = 253578.8 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = -58728.32 kgfPath 2-2 through (1), (4), (6) = 59424 + 229341.6 + 139599.2 = 428364.8 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -58728.32 kgfPath 3-3 through (2), (4) = 124558.2 + 229341.6 = 353899.8 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Check the opening per Appendix 1-7
ITEM NO. : DA-4302 225
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*43.8526 = 29.2351 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 11.4406 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*436.2 - 581.6)*(1*23 - 1*7.54) - 2*14*(1*23 - 1*7.54)*(1 - 1)
= 44.958 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (872.4 - 581.6 - 2*14)*14*1
= 36.7922 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 44.958 + 9.6277 + 0 + 0.8103 + 0 + 0 + 36.7922
= 92.1882 cm2
ITEM NO. : DA-4302 226
The area placement requirements of Appendix 1-7 are satisfied.
The opening is not within the size range defined by 1-7(b)(1)(a) and (b) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).
Rn/R ratio does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1)(c).
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2)For Pe = 8.82 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
39.1738 44.0115 -- 5.1490 -- 38.0522 0.8103 7.80 14.00
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.70 14.00 weld size is adequate
Calculations for external pressure 8.82 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 587.6 mm
Normal to the vessel wall outside: 2.5*(tn - Cn) + te = 41.5 mm
Nozzle required thickness per UG-28 trn = 4.8 mm
From UG-37(d)(1) required thickness tr = 20 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= 0.5*(587.6*20*1 + 2*11*20*1*(1 - 1))
= 58.7606 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
ITEM NO. : DA-4302 227
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 587.6*(1*20 - 1*20) - 2*11*(1*20 - 1*20)*(1 - 1)
= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(20 + 11)*(1*20 - 1*20) - 2*11*(1*20 - 1*20)*(1 - 1)
= 0 cm2
A2 = smaller of the following= 5.149 cm2
= 5*(tn - trn)*fr2*t
= 5*(11 - 4.8)*1*20
= 6.2039 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11 - 4.8)*(2.5*11 + 14)*1
= 5.149 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 102*1
= 1 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (1150 - 587.6 - 2*11)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 5.149 + 0.8103 + 1 + 75.656
= 82.6153 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 7.8 mm
Wall thickness per UG-45(b)(2): tr2 = 6.32 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.33 mm
The greater of tr2 or tr3: tr5 = 6.32 mm
The lesser of tr4 or tr5: tr6 = 6.32 mm
Required per UG-45 is the larger of tr1 or tr6 = 7.8 mm
Available nozzle wall thickness new, tn = 14 mm
ITEM NO. : DA-4302 228
The nozzle neck thickness is adequate.
Check the opening per Appendix 1-7
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*58.7606 = 39.1738 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 0 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*440.7 - 587.6)*(1*20 - 1*20) - 2*11*(1*20 - 1*20)*(1 - 1)
= 0 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (881.4 - 587.6 - 2*11)*14*1
= 38.0522 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 0 + 5.149 + 0 + 0.8103 + 0 + 0 + 38.0522
= 44.0115 cm2
The area placement requirements of Appendix 1-7 are satisfied.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 374.5871/609.6000 = 0.6145Do/t = 609.6000/4.796191 = 127.1009
From table G: A = 0.001575
From table CS-2 Metric: B = 840.7203kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*840.7203/(3*(609.6000/4.796191))
= 8.8195 kg/cm©÷
Design thickness for external pressure Pa = 8.8195 kg/cm2
= t + Corrosion = 4.796191 + 3.00 = 7.80 mm
ITEM NO. : DA-4302 229
MANHOLE (A1d)
ASME Section VIII Division 1, 2004 Edition, A06 Addenda Metric
tw(lower) = 16.00 mm
Leg41 = 9.00 mm
tw(upper) = 14.00 mm
Leg42 = 10.00 mm
Dp = 1,150.00 mm
te = 14.00 mm
Note: round inside edges per UG-76(c)
Located on: SHELL #2
Liquid static head included: 0 kg/cm2
Nozzle material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Nozzle longitudinal joint efficiency: 1.00
Pad material specification: SA-516 70 (II-D Metric p. 14, ln. 20)
Pad diameter: 1150 mm
Flange description: 24 inch Class 150 WN A105
Bolt Material: SA-193 B7 Bolt <= 64 (II-D Metric p. 382, ln. 33)
Flange rated MDMT: -47.78°C
(UCS-66(b)(1)(b))
Liquid static head on flange: 0 kg/cm2
ASME B16.5 flange rating MAWP: 13.47 kg/cm2 @ 220°C
ASME B16.5 flange rating MAP: 20.04 kg/cm2 @ 20°C
ASME B16.5 flange hydro test: 31.64 kg/cm2 @ 20°C
Nozzle orientation: 0°
Local vessel minimum thickness: 16 mm
Nozzle center line offset to datum line: 8400 mm
End of nozzle to shell center: 830 mm
Nozzle inside diameter, new: 581.6 mm
Nozzle nominal wall thickness: 14 mm
Nozzle corrosion allowance: 3 mm
Projection available outside vessel, Lpr: 289 mm
Pad is split: no
ITEM NO. : DA-4302 230
Reinforcement Calculations for Internal Pressure
The attached ASME B16.5 flange limits the nozzle MAWP.
UG-37 Area Calculation Summary (cm2)For P = 13.47 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
19.9140 67.4328 23.2593 5.3110 -- 38.0522 0.8103 8.08 14.00
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-20,976 116,485 226,442 12,639 328,654 120,510 254,189
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 6.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.70 14.00 weld size is adequate
Calculations for internal pressure 13.47 kg/cm2 @ 220 °C
Nozzle is impact test exempt to -105 °C per UCS-66(b)(3) (coincident ratio = 0.25288).
Pad impact test exemption temperature from Fig UCS-66M Curve B = -18.75 °CFig UCS-66.1M MDMT reduction = 58 °C, (coincident ratio = 0.38455)Rated MDMT is governed by UCS-66(b)(2).
Nozzle UCS-66 governing thk: 14 mm
Nozzle rated MDMT: -105 °C
Pad UCS-66 governing thickness: 14 mm
Pad rated MDMT: -48 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 587.6 mm
Normal to the vessel wall outside: 2.5*(t - C) = 32.5 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 13.4708*293.8/(1407.207*1 - 0.6*13.4708)
= 2.83 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 13.4708*528/(1407.207*1 - 0.6*13.4708)
= 5.08 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
ITEM NO. : DA-4302 231
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 587.6*5.08*1 + 2*11*5.08*1*(1 - 1)
= 29.871 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 46.5186 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 587.6*(1*13 - 1*5.08) - 2*11*(1*13 - 1*5.08)*(1 - 1)
= 46.5186 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(13 + 11)*(1*13 - 1*5.08) - 2*11*(1*13 - 1*5.08)*(1 - 1)
= 3.8 cm2
A2 = smaller of the following= 5.311 cm2
= 5*(tn - trn)*fr2*t
= 5*(11 - 2.83)*1*13
= 5.311 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11 - 2.83)*(2.5*11 + 14)*1
= 6.7813 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 102*1
= 1 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (1150 - 587.6 - 2*11)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 46.5186 + 5.311 + 0.8103 + 1 + 75.656
= 129.2959 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 13 mm
tw(min) = 0.5*tmin = 6.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
ITEM NO. : DA-4302 232
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 5.83 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 8.08 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.33 mm
The greater of tr2 or tr3: tr5 = 8.08 mm
The lesser of tr4 or tr5: tr6 = 8.08 mm
Required per UG-45 is the larger of tr1 or tr6 = 8.08 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1407.207 = 985.045 kg/cm2
Inner fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*609.6*9*689.532 = 59424 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*1150*10*689.532 = 124558.2 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*598.6*11*985.045 = 101884 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*13*1041.333 = 129630.5 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (2987.097 - 4651.861 + 2*11*1*(1*13 - 1*5.08))*1407.207
= -20975.8 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (531.0957 + 7565.598 + 81.0321 + 99.9998)*1407.207
= 116484.9 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (531.0957 + 0 + 81.0321 + 0 + 2*11*13*1)*1407.207
= 12638.61 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (531.0957 + 0 + 7565.598 + 81.0321 + 99.9998 + 0 + 2*11*13*1)*1407.207
= 120509.6 kgf
Load for path 1-1 lesser of W or W1-1 = -20975.8 kgfPath 1-1 through (2) & (3) = 124558.2 + 101884 = 226442.1 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
ITEM NO. : DA-4302 233
Load for path 2-2 lesser of W or W2-2 = -20975.8 kgfPath 2-2 through (1), (4), (6) = 59424 + 129630.5 + 139599.2 = 328653.7 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -20975.8 kgfPath 3-3 through (2), (4) = 124558.2 + 129630.5 = 254188.6 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Check the opening per Appendix 1-7
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*29.871 = 19.914 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 3.8 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*440.7 - 587.6)*(1*13 - 1*5.08) - 2*11*(1*13 - 1*5.08)*(1 - 1)
= 23.2593 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (881.4 - 587.6 - 2*11)*14*1
= 38.0522 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 23.2593 + 5.311 + 0 + 0.8103 + 0 + 0 + 38.0522
= 67.4328 cm2
The area placement requirements of Appendix 1-7 are satisfied.
The opening is not within the size range defined by 1-7(b)(1)(a) and (b) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).
Rn/R ratio does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1)(c).
% Extreme fiber elongation - UCS-79(d)
= (50*t / Rf)*(1 - Rf / Ro)
= (50*14 / 297.8)*(1 - 297.8 / ϒ⊆)
= 2.3506%
ITEM NO. : DA-4302 234
The extreme fiber elongation does not exceed 5%.
Reinforcement Calculations for MAP
The attached ASME B16.5 flange limits the nozzle MAP.
UG-37 Area Calculation Summary (cm2)For P = 20.04 kg/cm2 @ 20 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
29.2351 70.0637 24.6019 7.8593 -- 36.7922 0.8103 7.54 14.00
Weld Failure Path Analysis Summary (kgf)All failure paths are stronger than the applicable weld loads
Weld loadW
Weld loadW1-1
Path 1-1strength
Weld loadW2-2
Path 2-2strength
Weld loadW3-3
Path 3-3strength
-4,196 119,908 253,579 18,504 358,565 126,213 284,100
UW-16 Weld Sizing Summary
Weld description Required weldsize (mm)
Actual weldsize (mm) Status
Nozzle to pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 7.00 7.00 weld size is adequate
Nozzle to pad groove (Upper) 9.80 14.00 weld size is adequate
Calculations for internal pressure 20.04 kg/cm2 @ 20 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 581.6 mm
Normal to the vessel wall outside: 2.5*(t - C) = 40 mm
Nozzle required thickness per UG-27(c)(1)
trn = P*Rn/(Sn*E - 0.6*P)
= 20.0375*290.8/(1407.207*1 - 0.6*20.0375)
= 4.18 mm
Required thickness tr from UG-37(a)
tr = P*R/(S*E - 0.6*P)
= 20.0375*525/(1407.207*1 - 0.6*20.0375)
= 7.54 mm
Area required per UG-37(c)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = d*tr*F + 2*tn*tr*F*(1 - fr1)
= 581.6*7.54*1 + 2*14*7.54*1*(1 - 1)
ITEM NO. : DA-4302 235
= 43.8526 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 49.2031 cm2
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 581.6*(1*16 - 1*7.54) - 2*14*(1*16 - 1*7.54)*(1 - 1)
= 49.2031 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(16 + 14)*(1*16 - 1*7.54) - 2*14*(1*16 - 1*7.54)*(1 - 1)
= 5.0761 cm2
A2 = smaller of the following= 7.8593 cm2
= 5*(tn - trn)*fr2*t
= 5*(14 - 4.18)*1*16
= 7.8593 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(14 - 4.18)*(2.5*14 + 14)*1
= 9.6277 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 9.42*1
= 0.8845 cm2
(Part of the weld is outside of the limits)A5 = (Dp - d - 2*tn)*te*fr4
= (1150 - 581.6 - 2*14)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 49.2031 + 7.8593 + 0.8103 + 0.8845 + 75.656
= 134.4133 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 14 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 14 mm
tw(min) = 0.5*tmin = 7 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 4.18 mm (E =1)
Wall thickness per UG-45(b)(1): tr2 = 7.54 mm
Wall thickness per UG-16(b): tr3 = 1.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 8.33 mm
The greater of tr2 or tr3: tr5 = 7.54 mm
ITEM NO. : DA-4302 236
The lesser of tr4 or tr5: tr6 = 7.54 mm
Required per UG-45 is the larger of tr1 or tr6 = 7.54 mm
Available nozzle wall thickness new, tn = 14 mm
The nozzle neck thickness is adequate.
Allowable stresses in joints UG-45(c) and UW-15(c)
Groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Nozzle wall in shear: 0.7*1407.207 = 985.045 kg/cm2
Inner fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Outer fillet weld in shear: 0.49*1407.207 = 689.532 kg/cm2
Upper groove weld in tension: 0.74*1407.207 = 1041.333 kg/cm2
Strength of welded joints:
(1) Inner fillet weld in shear(π/2)*Nozzle OD*Leg*Si = (π/2)*609.6*9*689.532 = 59424 kgf
(2) Outer fillet weld in shear(π/2)*Pad OD*Leg*So = (π/2)*1150*10*689.532 = 124558.2 kgf
(3) Nozzle wall in shear(π/2)*Mean nozzle dia*tn*Sn = (π/2)*595.6*14*985.045 = 129020.6 kgf
(4) Groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*16*1041.333 = 159542 kgf
(6) Upper groove weld in tension(π/2)*Nozzle OD*tw*Sg = (π/2)*609.6*14*1041.333 = 139599.2 kgf
Loading on welds per UG-41(b)(1)
W = (A - A1 + 2*tn*fr1*(E1*t - F*tr))*Sv
= (4385.258 - 4920.313 + 2*14*1*(1*16 - 1*7.54))*1407.207
= -4195.93 kgf
W1-1 = (A2 + A5 + A41 + A42)*Sv
= (785.9338 + 7565.599 + 81.0321 + 88.4514)*1407.207
= 119908.5 kgf
W2-2 = (A2 + A3 + A41 + A43 + 2*tn*t*fr1)*Sv
= (785.9338 + 0 + 81.0321 + 0 + 2*14*16*1)*1407.207
= 18504.31 kgf
W3-3 = (A2 + A3 + A5 + A41 + A42 + A43 + 2*tn*t*fr1)*Sv
= (785.9338 + 0 + 7565.599 + 81.0321 + 88.4514 + 0 + 2*14*16*1)*1407.207
= 126212.8 kgf
Load for path 1-1 lesser of W or W1-1 = -4195.93 kgfPath 1-1 through (2) & (3) = 124558.2 + 129020.6 = 253578.8 kgfPath 1-1 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 2-2 lesser of W or W2-2 = -4195.93 kgfPath 2-2 through (1), (4), (6) = 59424 + 159542 + 139599.2 = 358565.3 kgfPath 2-2 is stronger than W so it is acceptable per UG-41(b)(2).
Load for path 3-3 lesser of W or W3-3 = -4195.93 kgfPath 3-3 through (2), (4) = 124558.2 + 159542 = 284100.2 kgfPath 3-3 is stronger than W so it is acceptable per UG-41(b)(2).
Check the opening per Appendix 1-7
ITEM NO. : DA-4302 237
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*43.8526 = 29.2351 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 5.0761 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*436.2 - 581.6)*(1*16 - 1*7.54) - 2*14*(1*16 - 1*7.54)*(1 - 1)
= 24.6019 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (872.4 - 581.6 - 2*14)*14*1
= 36.7922 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 24.6019 + 7.8593 + 0 + 0.8103 + 0 + 0 + 36.7922
= 70.0637 cm2
ITEM NO. : DA-4302 238
The area placement requirements of Appendix 1-7 are satisfied.
The opening is not within the size range defined by 1-7(b)(1)(a) and (b) so it is exempt from the requirements of 1-7(b)(2),(3) and (4).
Rn/R ratio does not exceed 0.7 so a U-2(g) analysis is not required per 1-7(b)(1)(c).
Reinforcement Calculations for External Pressure
UG-37 Area Calculation Summary (cm2)For Pe = 2.48 kg/cm2 @ 220 °C
The opening is adequately reinforced
UG-45Nozzle WallThicknessSummary
(mm)The nozzle
passes UG-45
Arequired
Aavailable A1 A2 A3 A5
Awelds treq tmin
25.4631 44.5083 -- 5.6458 -- 38.0522 0.8103 5.31 14.00
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 pad fillet (Leg41) 6.00 6.30 weld size is adequate
Pad to shell fillet (Leg42) 6.50 7.00 weld size is adequate
Nozzle to pad groove (Upper) 7.70 14.00 weld size is adequate
Calculations for external pressure 2.48 kg/cm2 @ 220 °C
Limits of reinforcement per UG-40
Parallel to the vessel wall: d = 587.6 mm
Normal to the vessel wall outside: 2.5*(t - C) = 32.5 mm
Nozzle required thickness per UG-28 trn = 2.31 mm
From UG-37(d)(1) required thickness tr = 13 mm
Area required per UG-37(d)(1)
Allowable stresses: Sn = 1407.207, Sv = 1407.207, Sp = 1407.207 kg/cm2
fr1 = lesser of 1 or Sn/Sv = 1fr2 = lesser of 1 or Sn/Sv = 1fr3 = lesser of fr2 or Sp/Sv = 1fr4 = lesser of 1 or Sp/Sv = 1
A = 0.5*(d*tr*F + 2*tn*tr*F*(1 - fr1))
= 0.5*(587.6*13*1 + 2*11*13*1*(1 - 1))
= 38.1947 cm2
Area available from FIG. UG-37.1
A1 = larger of the following= 0 cm2
ITEM NO. : DA-4302 239
= d*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 587.6*(1*13 - 1*13) - 2*11*(1*13 - 1*13)*(1 - 1)
= 0 cm2
= 2*(t + tn)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= 2*(13 + 11)*(1*13 - 1*13) - 2*11*(1*13 - 1*13)*(1 - 1)
= 0 cm2
A2 = smaller of the following= 5.6458 cm2
= 5*(tn - trn)*fr2*t
= 5*(11 - 2.31)*1*13
= 5.6458 cm2
= 2*(tn - trn)*(2.5*tn + te)*fr2= 2*(11 - 2.31)*(2.5*11 + 14)*1
= 7.209 cm2
A41 = Leg2*fr3= 92*1
= 0.8103 cm2
A42 = Leg2*fr4= 102*1
= 1 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (1150 - 587.6 - 2*11)*14*1
= 75.656 cm2
Area = A1 + A2 + A41 + A42 + A5
= 0 + 5.6458 + 0.8103 + 1 + 75.656
= 83.1121 cm2
As Area >= A the reinforcement is adequate.
UW-16(c)(2) Weld Check
Inner fillet: tmin = lesser of 19 mm or tn or te = 11 mm
tc(min) = lesser of 6 mm or 0.7*tmin = 6 mm
tc(actual) = 0.7*Leg = 0.7*9 = 6.3 mm
Outer fillet: tmin = lesser of 19 mm or te or t = 13 mm
tw(min) = 0.5*tmin = 6.5 mm
tw(actual) = 0.7*Leg = 0.7*10 = 7 mm
UG-45 Nozzle Neck Thickness Check
Wall thickness per UG-45(a): tr1 = 5.31 mm
Wall thickness per UG-45(b)(2): tr2 = 3.93 mm
Wall thickness per UG-16(b): tr3 = 4.5 mm
Standard wall pipe per UG-45(b)(4): tr4 = 11.33 mm
The greater of tr2 or tr3: tr5 = 4.5 mm
The lesser of tr4 or tr5: tr6 = 4.5 mm
Required per UG-45 is the larger of tr1 or tr6 = 5.31 mm
Available nozzle wall thickness new, tn = 14 mm
ITEM NO. : DA-4302 240
The nozzle neck thickness is adequate.
Check the opening per Appendix 1-7
Area required within 75 percent of the limits of reinforcement= 2/3 * A = (2/3)*38.1947 = 25.4631 cm2
Area that is within 75 percent of the limits of reinforcement is:
A1 = larger of 0 or
= (2*limits - d)*(E1*t - F*tr) - 2*tn*(E1*t - F*tr)*(1 - fr1)
= (2*440.7 - 587.6)*(1*13 - 1*13) - 2*11*(1*13 - 1*13)*(1 - 1)
= 0 cm2
A5 = (Dp - d - 2*tn)*te*fr4= (881.4 - 587.6 - 2*11)*14*1
= 38.0522 cm2
Area = A1 + A2 + A3 + A41 + A42 + A43 + A5
= 0 + 5.6458 + 0 + 0.8103 + 0 + 0 + 38.0522
= 44.5083 cm2
The area placement requirements of Appendix 1-7 are satisfied.
External Pressure, (Corroded & at 220.00°C) UG-28(c)
L/Do = 383.0348/609.6000 = 0.6283Do/t = 609.6000/2.314785 = 263.3506
From table G: A = 0.000510
From table CS-2 Metric: B = 490.5042kg/cm©÷
Pa = 4*B/(3*(Do/t))
= 4*490.5042/(3*(609.6000/2.314785))
= 2.4834 kg/cm©÷
Design thickness for external pressure Pa = 2.4834 kg/cm2
= t + Corrosion = 2.314785 + 3.00 = 5.31 mm
ITEM NO. : DA-4302 241
Wind Code
Building Code: ASCE 7-05
Elevation of base above grade: 0.6562 ft (0.2000 m)
Increase effective outer diameter by: 2.2966 ft (0.7000 m)
Wind Force Coefficient Cf: 0.7000
Basic Wind Speed:, V: 100.6621 mph (162.0000 km/h)
Importance Factor:, I: 1.0000
Exposure category: C
Wind Directionality Factor, Kd: 0.9500
Topographic Factor, Kzt: 1.0000
Vessel Characteristics
Vessel height, h: 112.9130 ft (34.4160 m)
Vessel Minimum Diameter, b
Operating, Corroded: 3.9764 ft (1.2120 m)
Empty, Corroded: 3.9764 ft (1.2120 m)
Fundamental Frequency, n1
Operating, Corroded: 0.6360 Hz
Empty, Corroded: 0.6669 Hz
Vacuum, Corroded: 0.6360 Hz
Damping coefficient, βOperating, Corroded: 0.0255
Empty, Corroded: 0.0210
Vacuum, Corroded: 0.0255Table 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 + H + W
7. 0.6D + H + W = 0.6D + H + W
Where
D = Dead load
H = Pressure load
W = Wind load
Wind Deflection Reports:
Operating, CorrodedEmpty, CorrodedVacuum, CorrodedWind Pressure Calculations
Wind Deflection Report: Operating, Corroded
ComponentElevation of
bottom abovebase (mm)
Effective OD(m)
Elastic modulusE (kg/cm²)
InertiaI (m4)
Platformwind shear atBottom (kgf)
Total windshear at
Bottom (kgf)
bendingmoment at
Bottom (kgf-m)
Deflectionat top(mm)
TOP HEAD 34,103.48 1.91 1,945,619.9 * 0.00 62.23 11.30 150.8242
SHELL #1 20,189.48 1.91 1,945,619.9 0.005248 0.00 3,023.05 22,960.71 148.6454
SHELL #2 13,189.48 1.91 1,945,619.9 0.006237 0.00 4,377.19 49,328.78 55.6421
SHELL #3 9,689.48 1.92 1,945,619.9 0.008249 0.00 5,011.57 65,770.80 20.7033
SHELL #4 5,907.48 1.93 1,945,619.9 0.009788 0.00 5,646.28 86,327.93 9.3117
BOTTOM HEAD (top) 5,800.00 1.92 1,945,619.9 * 0.00 5,662.86 86,935.68 2.1963
Support Skirt 0.00 * 1,945,619.9 * 0.00 6,731.46 122,544.45 2.0817
*Moment of Inertia I varies over the length of the component
ITEM NO. : DA-4302 242
Wind Deflection Report: Empty, Corroded
ComponentElevation of
bottom abovebase (mm)
Effective OD(m)
Elastic modulusE (kg/cm²)
InertiaI (m4)
Platformwind shear atBottom (kgf)
Total windshear at
Bottom (kgf)
bendingmoment at
Bottom (kgf-m)
Deflectionat top(mm)
TOP HEAD 34,103.48 1.91 2,063,397.1 * 0.00 63.40 11.47 144.8378
SHELL #1 20,189.48 1.91 2,063,397.1 0.005248 0.00 3,080.28 23,375.12 142.7457
SHELL #2 13,189.48 1.91 2,063,397.1 0.006237 0.00 4,460.05 50,234.76 53.4377
SHELL #3 9,689.48 1.92 2,063,397.1 0.008249 0.00 5,106.43 66,988.02 19.8839
SHELL #4 5,907.48 1.93 2,063,397.1 0.009788 0.00 5,753.16 87,927.07 8.9434
BOTTOM HEAD (top) 5,800.00 1.92 2,063,397.1 * 0.00 5,770.05 88,546.33 2.1094
Support Skirt 0.00 * 2,063,397.1 * 0.00 6,858.88 124,830.63 1.9994
*Moment of Inertia I varies over the length of the component
Wind Deflection Report: Vacuum, Corroded
ComponentElevation of
bottom abovebase (mm)
Effective OD(m)
Elastic modulusE (kg/cm²)
InertiaI (m4)
Platformwind shear atBottom (kgf)
Total windshear at
Bottom (kgf)
bendingmoment at
Bottom (kgf-m)
Deflectionat top(mm)
TOP HEAD 34,103.48 1.91 1,945,619.9 * 0.00 62.23 11.30 150.8242
SHELL #1 20,189.48 1.91 1,945,619.9 0.005248 0.00 3,023.05 22,960.71 148.6454
SHELL #2 13,189.48 1.91 1,945,619.9 0.006237 0.00 4,377.19 49,328.78 55.6421
SHELL #3 9,689.48 1.92 1,945,619.9 0.008249 0.00 5,011.57 65,770.80 20.7033
SHELL #4 5,907.48 1.93 1,945,619.9 0.009788 0.00 5,646.28 86,327.93 9.3117
BOTTOM HEAD (top) 5,800.00 1.92 1,945,619.9 * 0.00 5,662.86 86,935.68 2.1963
Support Skirt 0.00 * 1,945,619.9 * 0.00 6,731.46 122,544.45 2.0817
*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)0.2105
qz = 0.613 * Kz * Kzt * Kd * V2 * I Pa
= 0.613 * Kz * 1.0000 * 0.9500 * 45.00002 * 1.0000
= 1179.2585 * Kz
WP = qz * G¯ * Cf (Minimum 0.00488 kg/cm^2)
= qz * G¯ * 0.7000 (Minimum 0.00488 kg/cm^2)
Design Wind Pressures
Height Z(m) Kz qz
(kg/cm²)WP: Operating
(kg/cm²)WP: Empty
(kg/cm²)WP: hydrotest
(kg/cm²)WP: Vacuum
(kg/cm²)
4.6 0.8489 0.0102 0.0076 0.0077 N.A. 0.0076
6.1 0.9019 0.0109 0.0080 0.0082 N.A. 0.0080
7.6 0.9453 0.0114 0.0084 0.0086 N.A. 0.0084
9.1 0.9823 0.0118 0.0087 0.0089 N.A. 0.0087
12.2 1.0436 0.0126 0.0093 0.0095 N.A. 0.0093
15.2 1.0938 0.0132 0.0097 0.0099 N.A. 0.0097
18.3 1.1366 0.0137 0.0101 0.0103 N.A. 0.0101
21.3 1.1741 0.0141 0.0105 0.0107 N.A. 0.0105
24.4 1.2075 0.0145 0.0108 0.0110 N.A. 0.0108
27.4 1.2379 0.0149 0.0110 0.0112 N.A. 0.0110
ITEM NO. : DA-4302 243
30.5 1.2656 0.0152 0.0113 0.0115 N.A. 0.0113
36.6 1.3151 0.0158 0.0117 0.0119 N.A. 0.0117
Design Wind Force determined from: F = Pressure * Af , where Af is the projected area.
Gust Factor Calculations
Operating, CorrodedEmpty, CorrodedVacuum, Corroded
Gust Factor Calculations: Operating, Corroded
z¯ = 0.60 * h
= 0.60 * 112.9130
= 67.7478
Iz¯ = c * (33 / z¯)1/6
= 0.2000 * (33 / 67.7478)1/6
= 0.1774
Lz¯ = l * (z¯ / 33)ep
= 500.0000 * (67.7478 / 33)0.2000
= 577.3594
Q2 = 1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)
= 1 / (1 + 0.63 * ((3.9764 + 112.9130) / 577.3594)0.63)
= 0.8128
Vz¯ = b¯ * (z¯ / 33)a¯ * Vref * (88/60)
= 0.6500 * (67.7478 / 33)0.1538 * 100.6621 * (88/60)
= 107.1938
N1 = n1 * Lz¯ / Vz¯
= 0.6360 * 577.3594 / 107.1938
= 3.4257
Rn = 7.465 * N1 / (1 + 10.302 * N1)5/3
= 7.465 * 3.4257 / (1 + 10.302 * 3.4257)5/3
= 0.0643
nh = 4.60 * n1 * h / Vz¯
= 4.60 * 0.6360 * 112.9130 / 107.1938
= 3.0818
Rh = 1 / nh - (1 - e-2*nh) / (2*nh2)
= 1 / 3.0818 - (1 - e-2*3.0818) / (2*3.08182)
= 0.2720
nb = 4.60 * n1 * b / Vz¯
= 4.60 * 0.6360 * 3.9764 / 107.1938
= 0.1085
Rb = 1 / nb - (1 - e-2*nb) / (2*nb2)
= 1 / 0.1085 - (1 - e-2*0.1085) / (2*0.10852)
= 0.9314
nd = 15.40 * n1 * b / Vz¯
= 15.40 * 0.6360 * 3.9764 / 107.1938
= 0.3633
Rd = 1 / nd - (1 - e-2*nd) / (2*nd2)
= 1 / 0.3633 - (1 - e-2*0.3633) / (2*0.36332)
= 0.7961
R2 = (1 / β) * Rn * Rh * Rb * (0.53 + 0.47 * RL)
= (1 / 0.0255) * 0.0643 * 0.2720 * 0.9314 * (0.53 + 0.47 * 0.7961)
= 0.5770
gR = Sqr(2 * ln(3600 * n1)) + 0.577 / Sqr(2 * ln(3600 * n1))
= Sqr(2 * ln(3600 * 0.6360)) + 0.577 / Sqr(2 * ln(3600 * 0.6360))
= 4.0802
ITEM NO. : DA-4302 244
G = 0.925 * (1 + 1.7 * Iz¯ * Sqr(gQ2 * Q2 + gR
2 * R2) / (1 + 1.7 * gv * Iz¯)
= 0.925 * (1 + 1.7 * 0.1774 * Sqr(3.402 * 0.8128 + 4.08022 * 0.5770)) / (1 + 1.7 * 3.40 * 0.1774)
= 1.0571
Gust Factor Calculations: Empty, Corroded
z¯ = 0.60 * h
= 0.60 * 112.9130
= 67.7478
Iz¯ = c * (33 / z¯)1/6
= 0.2000 * (33 / 67.7478)1/6
= 0.1774
Lz¯ = l * (z¯ / 33)ep
= 500.0000 * (67.7478 / 33)0.2000
= 577.3594
Q2 = 1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)
= 1 / (1 + 0.63 * ((3.9764 + 112.9130) / 577.3594)0.63)
= 0.8128
Vz¯ = b¯ * (z¯ / 33)a¯ * Vref * (88/60)
= 0.6500 * (67.7478 / 33)0.1538 * 100.6621 * (88/60)
= 107.1938
N1 = n1 * Lz¯ / Vz¯
= 0.6669 * 577.3594 / 107.1938
= 3.5918
Rn = 7.465 * N1 / (1 + 10.302 * N1)5/3
= 7.465 * 3.5918 / (1 + 10.302 * 3.5918)5/3
= 0.0625
nh = 4.60 * n1 * h / Vz¯
= 4.60 * 0.6669 * 112.9130 / 107.1938
= 3.2313
Rh = 1 / nh - (1 - e-2*nh) / (2*nh2)
= 1 / 3.2313 - (1 - e-2*3.2313) / (2*3.23132)
= 0.2617
nb = 4.60 * n1 * b / Vz¯
= 4.60 * 0.6669 * 3.9764 / 107.1938
= 0.1138
Rb = 1 / nb - (1 - e-2*nb) / (2*nb2)
= 1 / 0.1138 - (1 - e-2*0.1138) / (2*0.11382)
= 0.9283
nd = 15.40 * n1 * b / Vz¯
= 15.40 * 0.6669 * 3.9764 / 107.1938
= 0.3810
Rd = 1 / nd - (1 - e-2*nd) / (2*nd2)
= 1 / 0.3810 - (1 - (e-2*0.3810)) / (2*0.38102)
= 0.7879
R2 = (1 / β) * Rn * Rh * Rb * (0.53 + 0.47 * RL)
= (1 / 0.0210) * 0.0625 * 0.2617 * 0.9283 * (0.53 + 0.47 * 0.7879)
= 0.6506
gR = Sqr(2 * ln(3600 * n1)) + 0.577 / Sqr(2 * ln(3600 * n1))
= Sqr(2 * ln(3600 * 0.6669)) + 0.577 / Sqr(2 * ln(3600 * 0.6669))
= 4.0918
G = 0.925 * (1 + 1.7 * Iz¯ * Sqr(gQ2 * Q2 + gR
2 * R2) / (1 + 1.7 * gv * Iz¯)
= 0.925 * (1 + 1.7 * 0.1774 * Sqr(3.402 * 0.8128 + 4.09182 * 0.6506)) / (1 + 1.7 * 3.40 * 0.1774)
= 1.0771
ITEM NO. : DA-4302 245
Gust Factor Calculations: Vacuum, Corroded
z¯ = 0.60 * h
= 0.60 * 112.9130
= 67.7478
Iz¯ = c * (33 / z¯)1/6
= 0.2000 * (33 / 67.7478)1/6
= 0.1774
Lz¯ = l * (z¯ / 33)ep
= 500.0000 * (67.7478 / 33)0.2000
= 577.3594
Q2 = 1 / (1 + 0.63 * ((b + h) / Lz¯)0.63)
= 1 / (1 + 0.63 * ((3.9764 + 112.9130) / 577.3594)0.63)
= 0.8128
Vz¯ = b¯ * (z¯ / 33)a¯ * Vref * (88/60)
= 0.6500 * (67.7478 / 33)0.1538 * 100.6621 * (88/60)
= 107.1938
N1 = n1 * Lz¯ / Vz¯
= 0.6360 * 577.3594 / 107.1938
= 3.4257
Rn = 7.465 * N1 / (1 + 10.302 * N1)5/3
= 7.465 * 3.4257 / (1 + 10.302 * 3.4257)5/3
= 0.0643
nh = 4.60 * n1 * h / Vz¯
= 4.60 * 0.6360 * 112.9130 / 107.1938
= 3.0818
Rh = 1 / nh - (1 - e-2*nh) / (2*nh2)
= 1 / 3.0818 - (1 - e-2*3.0818) / (2*3.08182)
= 0.2720
nb = 4.60 * n1 * b / Vz¯
= 4.60 * 0.6360 * 3.9764 / 107.1938
= 0.1085
Rb = 1 / nb - (1 - e-2*nb) / (2*nb2)
= 1 / 0.1085 - (1 - e-2*0.1085) / (2*0.10852)
= 0.9314
nd = 15.40 * n1 * b / Vz¯
= 15.40 * 0.6360 * 3.9764 / 107.1938
= 0.3633
Rd = 1 / nd - (1 - e-2*nd) / (2*nd2)
= 1 / 0.3633 - (1 - (e-2*0.3633)) / (2*0.36332)
= 0.7961
R2 = (1 / β) * Rn * Rh * Rb * (0.53 + 0.47 * RL)
= (1 / 0.0255) * 0.0643 * 0.2720 * 0.9314 * (0.53 + 0.47 * 0.7961)
= 0.5770
gR = Sqr(2 * ln(3600 * n1)) + 0.577 / Sqr(2 * ln(3600 * n1))
= Sqr(2 * ln(3600 * 0.6360)) + 0.577 / Sqr(2 * ln(3600 * 0.6360))
= 4.0802
G = 0.925 * (1 + 1.7 * Iz¯ * Sqr(gQ2 * Q2 + gR
2 * R2) / (1 + 1.7 * gv * Iz¯)
= 0.925 * (1 + 1.7 * 0.1774 * Sqr(3.402 * 0.8128 + 4.08022 * 0.5770)) / (1 + 1.7 * 3.40 * 0.1774)
= 1.0571
Table Lookup Values
α = 9.5000, Zg = 274 m [Table 6-2, page 78]
c = 0.2000, l = 500.0000, ep = 0.2000 [Table 6-2, page 78]
a¯ = 0.1538, b¯ = 0.6500 [Table 6-2, page 78]
gQ = 3.40 [6.5.8.2 page 26]
ITEM NO. : DA-4302 246
gv = 3.40 [6.5.8.2 page 26]
ITEM NO. : DA-4302 247
Seismic Code
Method of seismic analysis: UBC 1997 ground supported
Seismic Zone: 2A
Seismic Zone Factor (Table 16-I): Z = 0.1500
R Factor (Table 16-P): R = 2.2000
Soil profile: (Table 16-Q): SD
Importance Factor: I = 1.0000
Vertical Accelerations Considered: Yes
Force Multiplier: = 0.3333
Minimum Weight Multiplier: = 0.2000
Vessel Characteristics
Vessel height: 112.9130 ft (34.42 m)Vessel Weight:
Operating, Corroded: 118,486 lb (53,744 kg)
Empty, Corroded: 111,551 lb (50,599 kg)
Vacuum, Corroded: 118,486 lb (53,744 kg)
Period of Vibration Calculation
Fundamental Period, T:
Operating, Corroded: 1.572 sec (f = 0.6 Hz)
Empty, Corroded: 1.500 sec (f = 0.7 Hz)
Vacuum, Corroded: 1.572 sec (f = 0.6 Hz)
The fundamental period of vibration T (above) is calculated using the Rayleigh method of approximation:
T = 2 * PI * Sqr( {Sum(Wi * yi2 )} / {g * Sum(Wi * yi )} ), where
Wi is the weight of the ith lumped mass, andyi is its deflection when the system is treated as a cantilever beam.
Seismic Shear Reports:
Operating, CorrodedEmpty, CorrodedVacuum, CorrodedBase Shear Calculations
Seismic Shear Report: Operating, Corroded
Component Elevation of bottomabove base (mm)
Elastic modulus E(kg/cm²)
Inertia I(m4)
Seismic shear atBottom (kgf)
Bending Moment atBottom (kgf-m)
TOP HEAD 34,103.48 1,945,619.8 * 748.33 225.60
SHELL #1 20,189.48 1,945,619.8 0.0052 3,741.48 33,991.68
SHELL #2 13,189.48 1,945,619.8 0.0062 4,824.92 64,553.94
SHELL #3 9,689.48 1,945,619.8 0.0082 5,226.89 82,180.49
SHELL #4 5,907.48 1,945,619.8 0.0098 5,506.87 102,850.18
BOTTOM HEAD (top) 5,800.00 1,945,619.8 * 5,513.44 103,442.40
Support Skirt 0.00 1,945,619.9 * 5,756.08 136,046.26
*Moment of Inertia I varies over the length of the component
Seismic Shear Report: Empty, Corroded
Component Elevation of bottomabove base (mm)
Elastic modulus E(kg/cm²)
Inertia I(m4)
Seismic shear atBottom (kgf)
Bending Moment atBottom (kgf-m)
TOP HEAD 34,103.48 2,063,397.1 * 723.43 217.89
SHELL #1 20,189.48 2,063,397.1 0.0052 3,577.65 32,602.08
ITEM NO. : DA-4302 248
SHELL #2 13,189.48 2,063,397.1 0.0062 4,588.62 61,706.48
SHELL #3 9,689.48 2,063,397.1 0.0082 4,959.13 78,448.10
SHELL #4 5,907.48 2,063,397.1 0.0098 5,177.56 98,030.62
BOTTOM HEAD (top) 5,800.00 2,063,397.1 * 5,181.62 98,587.31
Support Skirt 0.00 2,063,397.1 * 5,420.30 129,247.94
*Moment of Inertia I varies over the length of the component
Seismic Shear Report: Vacuum, Corroded
Component Elevation of bottomabove base (mm)
Elastic modulus E(kg/cm²)
Inertia I(m4)
Seismic shear atBottom (kgf)
Bending Moment atBottom (kgf-m)
TOP HEAD 34,103.48 1,945,619.8 * 748.33 225.60
SHELL #1 20,189.48 1,945,619.8 0.0052 3,741.48 33,991.68
SHELL #2 13,189.48 1,945,619.8 0.0062 4,824.92 64,553.94
SHELL #3 9,689.48 1,945,619.8 0.0082 5,226.89 82,180.49
SHELL #4 5,907.48 1,945,619.8 0.0098 5,506.87 102,850.18
BOTTOM HEAD (top) 5,800.00 1,945,619.8 * 5,513.44 103,442.40
Support Skirt 0.00 1,945,619.9 * 5,756.08 136,046.26
*Moment of Inertia I varies over the length of the component
Vertical Acceleration Term, VAccel
Factor is applied to dead load.Compressive Side: = 1.0 + VAccel
VAccel Term is:greater of (Force Mult * Base Shear / Weight) or (Min. Weight Mult.)
Force multiplier = 0.3333 Minimum Weight Multiplier = 0.2000
Condition Base Shear ( kgf) Weight ( kg) Force Mult * ShearWeight VAccel
Operating, Corroded 5,757.26 53,744 0.0357 0.2000
Operating, New 6,003.29 56,041 0.0357 0.2000
Empty, Corroded 5,420.30 50,599 0.0357 0.2000
Empty, New 5,666.32 52,895 0.0357 0.2000
Vacuum, Corroded 5,757.26 53,744 0.0357 0.2000
Base Shear Calculations
Operating, CorrodedEmpty, CorrodedVacuum, Corroded
Base Shear Calculations: Operating, Corroded
Period Determination
Ta= Ct * hn
3/4 = 0.02 * (112.9130)3/4 =0.6928
Cu = 1.4000The fundamental period T is the lesser of 1.572 and the value computed below: (0.9699)Cu * Ta = 1.4000 * 0.6928 = 0.9699Calculation of Seismic Response CoefficientV(30-4) = Cv * I * W / (R * T) = 0.3200 * 1.0000 * 118486.1172 / (2.2000 * 0.9699) = 17769.6465V(30-5) = 2.50 * Ca * I * W / R = 2.50 * 0.2200 * 1.0000 * 118486.1172 / 2.2000 = 29621.5293V(34-2) = 0.56 * Ca * I * W = 0.56 * 0.2200 * 1.0000 * 118486.1172 = 14597.4893Take the lesser of V(30-4) and V(30-5), and then the greater of this result and V(34-2).Divide this result by 1.4, giving V = 12,692.60 lb (5,757.27 kg)
ITEM NO. : DA-4302 249
Base Shear Calculations: Empty, Corroded
Period Determination
Ta= Ct * hn
3/4 = 0.02 * (112.9130)3/4 =0.6928
Cu = 1.4000The fundamental period T is the lesser of 1.500 and the value computed below: (0.9699)Cu * Ta = 1.4000 * 0.6928 = 0.9699Calculation of Seismic Response CoefficientV(30-4) = Cv * I * W / (R * T) = 0.3200 * 1.0000 * 111551.2109 / (2.2000 * 0.9699) = 16729.6035V(30-5) = 2.50 * Ca * I * W / R = 2.50 * 0.2200 * 1.0000 * 111551.2109 / 2.2000 = 27887.8027V(34-2) = 0.56 * Ca * I * W = 0.56 * 0.2200 * 1.0000 * 111551.2109 = 13743.1094Take the lesser of V(30-4) and V(30-5), and then the greater of this result and V(34-2).Divide this result by 1.4, giving V = 11,949.72 lb (5,420.30 kg)
Base Shear Calculations: Vacuum, Corroded
Period Determination
Ta= Ct * hn
3/4 = 0.02 * (112.9130)3/4 =0.6928
Cu = 1.4000The fundamental period T is the lesser of 1.572 and the value computed below: (0.9699)Cu * Ta = 1.4000 * 0.6928 = 0.9699Calculation of Seismic Response CoefficientV(30-4) = Cv * I * W / (R * T) = 0.3200 * 1.0000 * 118486.1172 / (2.2000 * 0.9699) = 17769.6465V(30-5) = 2.50 * Ca * I * W / R = 2.50 * 0.2200 * 1.0000 * 118486.1172 / 2.2000 = 29621.5293V(34-2) = 0.56 * Ca * I * W = 0.56 * 0.2200 * 1.0000 * 118486.1172 = 14597.4893Take the lesser of V(30-4) and V(30-5), and then the greater of this result and V(34-2).Divide this result by 1.4, giving V = 12,692.60 lb (5,757.27 kg)
ITEM NO. : DA-4302 250
Support Skirt
Material: SA-283 C (II-D Metric p. 6, ln. 2)Design temperature, operating: 428 °F (220.00 °C)Design temperature, vacuum: 428 °F (220.00 °C)Inner diameter at top, new: 41.56648 in (1,055.79 mm)Inner diameter at bottom, new: 88.57436 in (2,249.79 mm)Overall length: 228.3465 in (5,800.00 mm)Corrosion allowance inside: 0 in (0.00 mm)Corrosion allowance outside: 0 in (0.00 mm)Weld joint efficiency top: 0.55Weld joint efficiency bottom: 0.8Nominal thickness, new: 0.7874016 in (20.00 mm)Skirt is attached to: BOTTOM HEADSkirt attachment offset: 107.48 mm down from the top seam
Skirt design thickness, largest of the following + corrosion = 17.58 mm
The governing condition is due to earthquake, tensile stress at the top, operating & new.
The skirt thickness of 20.00 mm is adequate.
LoadingVessel
Condition(Stress)
GoverningSkirt
Location
Temperature(°C)
AllowableStress
(kg/cm2)
CalculatedStress/E(kg/cm2)
Requiredthickness
(mm)
Wind operating, corroded (+) top 220.00 1,101.29 806.42 14.64
Wind operating, corroded (-) top 220.00 903.77 541.61 11.99
Wind operating, new (+) top 220.00 1,101.29 796.84 14.47
Wind operating, new (-) top 220.00 903.77 541.75 11.99
Wind empty, corroded (+) top 20.00 1,101.29 827.70 15.03
Wind empty, corroded (-) top 20.00 1,069.52 545.86 10.21
Wind empty, new (+) top 20.00 1,101.29 817.55 14.85
Wind empty, new (-) top 20.00 1,069.52 545.72 10.20
Wind vacuum, corroded (+) top 220.00 1,101.29 806.42 14.64
Wind vacuum, corroded (-) top 220.00 903.77 541.61 11.99
Seismic operating, corroded (+) top 220.00 1,101.29 927.79 16.85
Seismic operating, corroded (-) top 220.00 903.77 645.14 14.28
Seismic operating, new (+) top 220.00 1,101.29 968.19 17.58
Seismic operating, new (-) top 220.00 903.77 674.79 14.93
Seismic empty, corroded (+) top 20.00 1,101.29 887.45 16.12
Seismic empty, corroded (-) top 20.00 1,069.52 612.70 11.46
Seismic empty, new (+) top 20.00 1,101.29 927.86 16.85
Seismic empty, new (-) top 20.00 1,069.52 642.41 12.01
Seismic vacuum, corroded (+) top 220.00 1,101.29 927.79 16.85
Seismic vacuum, corroded (-) top 220.00 903.77 645.14 14.28
Loading due to wind, operating & corroded
Windward side (tensile)
Required thickness, tensile stress at base:t = -0.6*W/(π*D*St*E*Cos(α)) + 48*M/(π*D2*St*E*Cos(α))= -0.6*117,124.0/(π*89.36176*15,664.08*0.8*Cos(5.877)) + 48*886,365.7/(π*89.361762*15,664.08*0.8*Cos(5.877))= 0.1160 in (2.95 mm)
Required thickness, tensile stress at the top:t = -0.6*Wt/(π*Dt*St*E*Cos(α)) + 48*Mt/(π*Dt
2*St*E*Cos(α))= -0.6*90,869.23/(π*42.35389*15,664.08*0.55*Cos(5.877)) + 48*628,241.6/(π*42.353892*15,664.08*0.55*Cos(5.877))= 0.5766 in (14.64 mm)
Leeward side (compressive)
ITEM NO. : DA-4302 251
Required thickness, compressive stress at base:t = W/(π*D*Sc*Ec*Cos(α)) + 48*M/(π*D2*Sc*Ec*Cos(α))= 117,124.0/(π*89.36176*12,854.62*1*Cos(5.877)) + 48*886,365.7/(π*89.361762*12,854.62*1*Cos(5.877))= 0.1653 in (4.20 mm)
Required thickness, compressive stress at the top:t = Wt/(π*Dt*Sc*Ec*Cos(α)) + 48*Mt/(π*Dt
2*Sc*Ec*Cos(α))= 90,869.23/(π*42.35389*12,854.62*1*Cos(5.877)) + 48*628,241.6/(π*42.353892*12,854.62*1*Cos(5.877))= 0.4719 in (11.99 mm)
Loading due to wind, operating & new
Windward side (tensile)
Required thickness, tensile stress at base:t = -0.6*W/(π*D*St*E*Cos(α)) + 48*M/(π*D2*St*E*Cos(α))= -0.6*122,128.3/(π*89.36176*15,664.08*0.8*Cos(5.877)) + 48*880,204.3/(π*89.361762*15,664.08*0.8*Cos(5.877))= 0.1142 in (2.90 mm)
Required thickness, tensile stress at the top:t = -0.6*Wt/(π*Dt*St*E*Cos(α)) + 48*Mt/(π*Dt
2*St*E*Cos(α))= -0.6*95,873.58/(π*42.35389*15,664.08*0.55*Cos(5.877)) + 48*624,002.9/(π*42.353892*15,664.08*0.55*Cos(5.877))= 0.5697 in (14.47 mm)
Leeward side (compressive)
Required thickness, compressive stress at base:t = W/(π*D*Sc*Ec*Cos(α)) + 48*M/(π*D2*Sc*Ec*Cos(α))= 122,128.3/(π*89.36176*12,854.62*1*Cos(5.877)) + 48*880,204.3/(π*89.361762*12,854.62*1*Cos(5.877))= 0.1657 in (4.21 mm)
Required thickness, compressive stress at the top:t = Wt/(π*Dt*Sc*Ec*Cos(α)) + 48*Mt/(π*Dt
2*Sc*Ec*Cos(α))= 95,873.58/(π*42.35389*12,854.62*1*Cos(5.877)) + 48*624,002.9/(π*42.353892*12,854.62*1*Cos(5.877))= 0.4720 in (11.99 mm)
Loading due to wind, empty & corroded
Windward side (tensile)
Required thickness, tensile stress at base:t = -0.6*W/(π*D*St*E*Cos(α)) + 48*M/(π*D2*St*E*Cos(α))= -0.6*110,213.5/(π*89.36176*15,664.08*0.8*Cos(5.877)) + 48*902,901.7/(π*89.361762*15,664.08*0.8*Cos(5.877))= 0.1197 in (3.04 mm)
Required thickness, tensile stress at the top:t = -0.6*Wt/(π*Dt*St*E*Cos(α)) + 48*Mt/(π*Dt
2*St*E*Cos(α))= -0.6*83,958.75/(π*42.35389*15,664.08*0.55*Cos(5.877)) + 48*639,891.4/(π*42.353892*15,664.08*0.55*Cos(5.877))= 0.5918 in (15.03 mm)
Leeward side (compressive)
Required thickness, compressive stress at base:t = W/(π*D*Sc*Ec*Cos(α)) + 48*M/(π*D2*Sc*Ec*Cos(α))= 110,213.5/(π*89.36176*15,212.15*1*Cos(5.877)) + 48*902,901.7/(π*89.361762*15,212.15*1*Cos(5.877))= 0.1401 in (3.56 mm)
Required thickness, compressive stress at the top:t = Wt/(π*Dt*Sc*Ec*Cos(α)) + 48*Mt/(π*Dt
2*Sc*Ec*Cos(α))= 83,958.75/(π*42.35389*15,212.15*1*Cos(5.877)) + 48*639,891.4/(π*42.353892*15,212.15*1*Cos(5.877))= 0.4019 in (10.21 mm)
Loading due to wind, empty & new
Windward side (tensile)
Required thickness, tensile stress at base:t = -0.6*W/(π*D*St*E*Cos(α)) + 48*M/(π*D2*St*E*Cos(α))= -0.6*115,254.6/(π*89.36176*15,664.08*0.8*Cos(5.877)) + 48*896,186.0/(π*89.361762*15,664.08*0.8*Cos(5.877))
ITEM NO. : DA-4302 252
= 0.1178 in (2.99 mm)
Required thickness, tensile stress at the top:t = -0.6*Wt/(π*Dt*St*E*Cos(α)) + 48*Mt/(π*Dt
2*St*E*Cos(α))= -0.6*88,999.88/(π*42.35389*15,664.08*0.55*Cos(5.877)) + 48*635,262.3/(π*42.353892*15,664.08*0.55*Cos(5.877))= 0.5845 in (14.85 mm)
Leeward side (compressive)
Required thickness, compressive stress at base:t = W/(π*D*Sc*Ec*Cos(α)) + 48*M/(π*D2*Sc*Ec*Cos(α))= 115,254.6/(π*89.36176*15,212.15*1*Cos(5.877)) + 48*896,186.0/(π*89.361762*15,212.15*1*Cos(5.877))= 0.1404 in (3.57 mm)
Required thickness, compressive stress at the top:t = Wt/(π*Dt*Sc*Ec*Cos(α)) + 48*Mt/(π*Dt
2*Sc*Ec*Cos(α))= 88,999.88/(π*42.35389*15,212.15*1*Cos(5.877)) + 48*635,262.3/(π*42.353892*15,212.15*1*Cos(5.877))= 0.4018 in (10.20 mm)
Loading due to wind, vacuum & corroded
Windward side (tensile)
Required thickness, tensile stress at base:t = -0.6*W/(π*D*St*E*Cos(α)) + 48*M/(π*D2*St*E*Cos(α))= -0.6*117,124.0/(π*89.36176*15,664.08*0.8*Cos(5.877)) + 48*886,365.7/(π*89.361762*15,664.08*0.8*Cos(5.877))= 0.1160 in (2.95 mm)
Required thickness, tensile stress at the top:t = -0.6*Wt/(π*Dt*St*E*Cos(α)) + 48*Mt/(π*Dt
2*St*E*Cos(α))= -0.6*90,869.23/(π*42.35389*15,664.08*0.55*Cos(5.877)) + 48*628,241.6/(π*42.353892*15,664.08*0.55*Cos(5.877))= 0.5766 in (14.64 mm)
Leeward side (compressive)
Required thickness, compressive stress at base:t = W/(π*D*Sc*Ec*Cos(α)) + 48*M/(π*D2*Sc*Ec*Cos(α))= 117,124.0/(π*89.36176*12,854.62*1*Cos(5.877)) + 48*886,365.7/(π*89.361762*12,854.62*1*Cos(5.877))= 0.1653 in (4.20 mm)
Required thickness, compressive stress at the top:t = Wt/(π*Dt*Sc*Ec*Cos(α)) + 48*Mt/(π*Dt
2*Sc*Ec*Cos(α))= 90,869.23/(π*42.35389*12,854.62*1*Cos(5.877)) + 48*628,241.6/(π*42.353892*12,854.62*1*Cos(5.877))= 0.4719 in (11.99 mm)
Loading due to earthquake, operating & corroded
Tensile side
Required thickness, tensile stress at base:t = -W/(π*D*St*E*Cos(α)) + 48*M/(π*D2*St*E*Cos(α))= -117,124.0/(π*89.36176*15,664.08*0.8*Cos(5.877)) + 48*984,024.5/(π*89.361762*15,664.08*0.8*Cos(5.877))= 0.1176 in (2.99 mm)
Required thickness, tensile stress at the top:t = -Wt/(π*Dt*St*E*Cos(α)) + 48*Mt/(π*Dt
2*St*E*Cos(α))= -90,869.23/(π*42.35389*15,664.08*0.55*Cos(5.877)) + 48*747,627.3/(π*42.353892*15,664.08*0.55*Cos(5.877))= 0.6634 in (16.85 mm)
Compressive side
Required thickness, compressive stress at base:t = (1 + VAccel)*W/(π*D*Sc*Ec*Cos(α)) + 48*M/(π*D2*Sc*Ec*Cos(α))= (1 + 0.2)*117,124.0/(π*89.36176*12,854.62*1*Cos(5.877)) + 48*984,024.5/(π*89.361762*12,854.62*1*Cos(5.877))= 0.1864 in (4.73 mm)
Required thickness, compressive stress at the top:t = (1 + VAccel)*Wt/(π*Dt*Sc*Ec*Cos(α)) + 48*Mt/(π*Dt
2*Sc*Ec*Cos(α))= (1 + 0.2)*90,869.23/(π*42.35389*12,854.62*1*Cos(5.877)) + 48*747,627.3/(π*42.353892*12,854.62*1*Cos(5.877))= 0.5621 in (14.28 mm)
ITEM NO. : DA-4302 253
Loading due to earthquake, operating & new
Tensile side
Required thickness, tensile stress at base:t = -W/(π*D*St*E*Cos(α)) + 48*M/(π*D2*St*E*Cos(α))= -122,128.3/(π*89.36176*15,664.08*0.8*Cos(5.877)) + 48*1,027,807/(π*89.361762*15,664.08*0.8*Cos(5.877))= 0.1229 in (3.12 mm)
Required thickness, tensile stress at the top:t = -Wt/(π*Dt*St*E*Cos(α)) + 48*Mt/(π*Dt
2*St*E*Cos(α))= -95,873.58/(π*42.35389*15,664.08*0.55*Cos(5.877)) + 48*781,105.5/(π*42.353892*15,664.08*0.55*Cos(5.877))= 0.6922 in (17.58 mm)
Compressive side
Required thickness, compressive stress at base:t = (1 + VAccel)*W/(π*D*Sc*Ec*Cos(α)) + 48*M/(π*D2*Sc*Ec*Cos(α))= (1 + 0.2)*122,128.3/(π*89.36176*12,854.62*1*Cos(5.877)) + 48*1,027,807/(π*89.361762*12,854.62*1*Cos(5.877))= 0.1946 in (4.94 mm)
Required thickness, compressive stress at the top:t = (1 + VAccel)*Wt/(π*Dt*Sc*Ec*Cos(α)) + 48*Mt/(π*Dt
2*Sc*Ec*Cos(α))= (1 + 0.2)*95,873.58/(π*42.35389*12,854.62*1*Cos(5.877)) + 48*781,105.5/(π*42.353892*12,854.62*1*Cos(5.877))= 0.5879 in (14.93 mm)
Loading due to earthquake, empty & corroded
Tensile side
Required thickness, tensile stress at base:t = -W/(π*D*St*E*Cos(α)) + 48*M/(π*D2*St*E*Cos(α))= -110,213.5/(π*89.36176*15,664.08*0.8*Cos(5.877)) + 48*934,852.1/(π*89.361762*15,664.08*0.8*Cos(5.877))= 0.1120 in (2.84 mm)
Required thickness, tensile stress at the top:t = -Wt/(π*Dt*St*E*Cos(α)) + 48*Mt/(π*Dt
2*St*E*Cos(α))= -83,958.75/(π*42.35389*15,664.08*0.55*Cos(5.877)) + 48*712,511.7/(π*42.353892*15,664.08*0.55*Cos(5.877))= 0.6345 in (16.12 mm)
Compressive side
Required thickness, compressive stress at base:t = (1 + VAccel)*W/(π*D*Sc*Ec*Cos(α)) + 48*M/(π*D2*Sc*Ec*Cos(α))= (1 + 0.2)*110,213.5/(π*89.36176*15,212.15*1*Cos(5.877)) + 48*934,852.1/(π*89.361762*15,212.15*1*Cos(5.877))= 0.1493 in (3.79 mm)
Required thickness, compressive stress at the top:t = (1 + VAccel)*Wt/(π*Dt*Sc*Ec*Cos(α)) + 48*Mt/(π*Dt
2*Sc*Ec*Cos(α))= (1 + 0.2)*83,958.75/(π*42.35389*15,212.15*1*Cos(5.877)) + 48*712,511.7/(π*42.353892*15,212.15*1*Cos(5.877))= 0.4511 in (11.46 mm)
Loading due to earthquake, empty & new
Tensile side
Required thickness, tensile stress at base:t = -W/(π*D*St*E*Cos(α)) + 48*M/(π*D2*St*E*Cos(α))= -115,254.6/(π*89.36176*15,664.08*0.8*Cos(5.877)) + 48*978,748.0/(π*89.361762*15,664.08*0.8*Cos(5.877))= 0.1173 in (2.98 mm)
Required thickness, tensile stress at the top:t = -Wt/(π*Dt*St*E*Cos(α)) + 48*Mt/(π*Dt
2*St*E*Cos(α))= -88,999.88/(π*42.35389*15,664.08*0.55*Cos(5.877)) + 48*746,027.5/(π*42.353892*15,664.08*0.55*Cos(5.877))= 0.6634 in (16.85 mm)
Compressive side
Required thickness, compressive stress at base:t = (1 + VAccel)*W/(π*D*Sc*Ec*Cos(α)) + 48*M/(π*D2*Sc*Ec*Cos(α))
ITEM NO. : DA-4302 254
= (1 + 0.2)*115,254.6/(π*89.36176*15,212.15*1*Cos(5.877)) + 48*978,748.0/(π*89.361762*15,212.15*1*Cos(5.877))= 0.1563 in (3.97 mm)
Required thickness, compressive stress at the top:t = (1 + VAccel)*Wt/(π*Dt*Sc*Ec*Cos(α)) + 48*Mt/(π*Dt
2*Sc*Ec*Cos(α))= (1 + 0.2)*88,999.88/(π*42.35389*15,212.15*1*Cos(5.877)) + 48*746,027.5/(π*42.353892*15,212.15*1*Cos(5.877))= 0.4730 in (12.01 mm)
Loading due to earthquake, vacuum & corroded
Tensile side
Required thickness, tensile stress at base:t = -W/(π*D*St*E*Cos(α)) + 48*M/(π*D2*St*E*Cos(α))= -117,124.0/(π*89.36176*15,664.08*0.8*Cos(5.877)) + 48*984,024.5/(π*89.361762*15,664.08*0.8*Cos(5.877))= 0.1176 in (2.99 mm)
Required thickness, tensile stress at the top:t = -Wt/(π*Dt*St*E*Cos(α)) + 48*Mt/(π*Dt
2*St*E*Cos(α))= -90,869.23/(π*42.35389*15,664.08*0.55*Cos(5.877)) + 48*747,627.3/(π*42.353892*15,664.08*0.55*Cos(5.877))= 0.6634 in (16.85 mm)
Compressive side
Required thickness, compressive stress at base:t = (1 + VAccel)*W/(π*D*Sc*Ec*Cos(α)) + 48*M/(π*D2*Sc*Ec*Cos(α))= (1 + 0.2)*117,124.0/(π*89.36176*12,854.62*1*Cos(5.877)) + 48*984,024.5/(π*89.361762*12,854.62*1*Cos(5.877))= 0.1864 in (4.73 mm)
Required thickness, compressive stress at the top:t = (1 + VAccel)*Wt/(π*Dt*Sc*Ec*Cos(α)) + 48*Mt/(π*Dt
2*Sc*Ec*Cos(α))= (1 + 0.2)*90,869.23/(π*42.35389*12,854.62*1*Cos(5.877)) + 48*747,627.3/(π*42.353892*12,854.62*1*Cos(5.877))= 0.5621 in (14.28 mm)
ITEM NO. : DA-4302 255
Skirt Base Ring
Base configuration: double base plateFoundation compressive strength: 750 psi (52.73017 kg/cm2)Concrete ultimate 28-day strength: 3,000.00 psi (210.9207 kg/cm2)Anchor bolt material: A307-BAnchor bolt allowable stress, Sb: 17,999.64 psi (1,265.499 kg/cm2)Bolt circle, BC: 94.25 in (2,393.95 mm)Anchor bolt corrosion allowance: 0 in (0.00 mm)Anchor bolt clearance: 0.375 in (9.53 mm)Base plate material: A283-CBase plate allowable stress, Sp: 15,699.73 psi (1,103.799 kg/cm2)Base plate inner diameter, Di: 87.00787 in (2,210.00 mm)Base plate outer diameter, Do: 98.03149 in (2,490.00 mm)Base plate thickness, tb: 1.102362 in (28.00 mm)Gusset separation, w: 4.133858 in (105.00 mm)Gusset height, h: 9.606299 in (244.00 mm)Gusset thickness, tg: 0.6299213 in (16.00 mm)Compression ring width: 5.511811 in (140.00 mm)Compression ring thickness, tc: 1.102362 in (28.00 mm)Initial bolt preload: 0 % (0 psi) (0 kg/cm2)Number of bolts, N: 20Bolt size and type: 42 mmBolt root area (corroded), Ab: 1.678 in2 (10.82578 cm2)Diameter of anchor bolt holes, db: 2.028543 in (51.53 mm)
Load Vesselcondition
Base M(kg-m)
W(kg)
Requiredbolt area
(cm2)
trBase(mm)
Foundationbearingstress
(kg/cm2)
tr compring(mm)
trgusset(mm)
Wind operating, corroded 122,544.4 53,733.3 6.8162 25.87 33.0532 22.32 6.19
Wind operating, new 121,692.6 56,013.3 6.7059 25.90 33.1421 22.11 6.16
Wind empty, corroded 124,830.6 50,598.8 7.0414 25.91 33.1668 22.75 6.27
Wind empty, new 123,902.1 52,895.5 6.9257 25.94 33.2460 22.52 6.23
Wind vacuum, corroded 122,544.4 53,733.3 6.8162 25.87 33.0532 22.32 6.19
Seismic operating, corroded 136,046.2 53,733.3 6.8583 26.23 33.9926 21.57 6.07
Seismic operating, new 142,099.4 56,013.3 7.1678 26.81 35.4960 22.06 6.15
Seismic empty, corroded 129,247.9 50,598.8 6.5333 25.55 32.2572 21.07 5.99
Seismic empty, new 135,316.7 52,895.5 6.8432 26.14 33.7653 21.57 6.07
Seismic vacuum, corroded 136,046.2 53,733.3 6.8583 26.23 33.9926 21.57 6.07
Anchor bolt load (operating, corroded + Wind)
P = -0.6*W / N + 48 * M /(N*BC)= -0.6*118,461.7 / 20 + 48 * 886,365.7 /(20*94.25)= 19,016.73 lb (8,625.846 kgf)
Required area per bolt = P / Sb = 1.056506 in2 (6.816157 cm2)
The area provided (1.678 in2) by the specified anchor bolt is adequate.
Support calculations (Jawad & Farr chapter 12, operating, corroded + Wind)
Base plate width, tc: 5.51181 in (140.00 mm)Average base plate diameter, d: 92.51968 in (2,350.00 mm)Base plate elastic modulus, Es: 29,000,000psi (2,038,900 kg/cm2)Base plate yield stress, Sy: 36,000.00 psi (2,531.048 kg/cm2)
Ec = 57,000.00*Sqr(3,000.00) = 3,122,019 psi (219,499.4 kg/cm2)
n = Es/Ec = 29,000,000/3,122,019 = 9.2889
ts = (N*Ab) / (π*d)= (20*1.678) / (π*92.51968)= 0.1154617 in (2.93 mm)
ITEM NO. : DA-4302 256
From table 12.4 for k = 0.3378221:
K1 = 2.359863, K2 = 1.60895
L1 = 15.0093, L2 = 47.69108, L3 =24.71917
Total tensile force on bolting
T = (12*M - 0.6*W *(L1 + L3))/(L2 + L3)= (12*886,365.7 - 0.6*118,461.7 *(15.0093 + 24.71917))/(47.69108 + 24.71917)= 107,893.7 lb (48,939.75 kgf)
Tensile stress in bolts use the larger of fs or bolt preload = 0 psi
fs = T / (ts * (d/2) * K1)= 107,893.7 / (0.1154617 * (92.51968/2) * 2.359863)= 8,559.868 psi (601.8177 kg/cm2)
Total compressive load on foundation
Cc = T + W + Bolt Preload= 107,893.7 + 118,461.7 + 0= 226,355.3 lb (102,673.1 kgf)
Foundation bearing stress
fc = Cc / (((tc - ts) + n*ts)*(d/2)*K2)= 226,355.3 / (((5.51181 - 0.1154617) + 9.2889*0.1154617)*(92.51968/2)*1.60895)= 470.13 psi (33.05325 kg/cm2)
As fc <= 750 psi the base plate width is satisfactory.
k = 1 / (1 + fs / (n*fc))= 1 / (1 + 8,559.868 / (9.2889*470.1281))= 0.3378221
Base plate required thickness (operating, corroded + Wind)
From Brownell & Young, Table 10.3:, l/b = 0.4183387
Mx = 0.01877*470.1281*9.4110552 = 781.5505
My = -0.37241*470.1281*3.9370082 = -2,713.751
tr = (6*Mmax / Sp)0.5
= (6*2,713.751 / 15,699.73)0.5
= 1.018391 in (25.87 mm)
The base plate thickness is satisfactory.
Check the compression ring for bolt load (Jawad & Farr equation 12.13)
tcr = (3.91*F/(Sy*(2*b/w+w/(2*l)-db*(2/w+1/(2*l)))))0.5
= (3.91*14,363.46/(36,000.00*(2*5.511811/4.133858+4.133858/(2*3.149)-2.028543*(2/4.133858+1/(2*3.149)))))0.5
= 0.878906 in (22.32 mm)
The compression ring thickness is satisfactory.
Check gusset plate thickness (Bednar chapter 4.3)
Radius of gyration of gusset
r = 0.289*tg= 0.289*0.6299213= 0.1820472 in (4.62 mm)
Cross sectional area of one gusset
Ag = tg*(b - 0.25)= 0.6299213*(3.937008 - 0.25)= 2.322525 in2 (14.984 cm2)
ITEM NO. : DA-4302 257
Gusset allowable stress
Sa = 17000 - 0.485*(h / r)2
= 17000 - 0.485*(9.606299 / 0.1820472)2
= 15,649.53 psi (1,100.27 kg/cm2)
Gusset axial stress due to bolt load
Sg = F / (2 * Ag)= 14,363.46 / (2 * 2.322525)= 3,092.21 psi (217.4036 kg/cm2)
The gusset plate thickness is satisfactory.
Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59)
t = 1.76*(F*l/(Mb*hc*Ss))2/3*(ODs/2)1/3
= 1.76*(14,363.46*2.046261/(14.1619*11.81102*23,496.11))2/3*(90.15748/2)1/3
= 0.239541 in (6.08 mm)
The skirt thickness is satisfactory.
Anchor bolt load (operating, new + Wind)
P = -0.6*W / N + 48 * M /(N*BC)= -0.6*123,488.2 / 20 + 48 * 880,204.3 /(20*94.25)= 18,709.04 lb (8,486.279 kgf)
Required area per bolt = P / Sb = 1.039412 in2 (6.705871 cm2)
The area provided (1.678 in2) by the specified anchor bolt is adequate.
Support calculations (Jawad & Farr chapter 12, operating, new + Wind)
Base plate width, tc: 5.51181 in (140.00 mm)Average base plate diameter, d: 92.51968 in (2,350.00 mm)Base plate elastic modulus, Es: 29,000,000psi (2,038,900 kg/cm2)Base plate yield stress, Sy: 36,000.00 psi (2,531.048 kg/cm2)
Ec = 57,000.00*Sqr(3,000.00) = 3,122,019 psi (219,499.4 kg/cm2)
n = Es/Ec = 29,000,000/3,122,019 = 9.2889
ts = (N*Ab) / (π*d)= (20*1.678) / (π*92.51968)= 0.1154617 in (2.93 mm)
From table 12.4 for k = 0.3428449:
K1 = 2.348917, K2 = 1.621881
L1 = 14.54454, L2 = 47.34428, L3 =25.08179
Total tensile force on bolting
T = (12*M - 0.6*W *(L1 + L3))/(L2 + L3)= (12*880,204.3 - 0.6*123,488.2 *(14.54454 + 25.08179))/(47.34428 + 25.08179)= 105,299.4 lb (47,762.99 kgf)
Tensile stress in bolts use the larger of fs or bolt preload = 0 psi
fs = T / (ts * (d/2) * K1)= 105,299.4 / (0.1154617 * (92.51968/2) * 2.348917)= 8,392.976 psi (590.084 kg/cm2)
Total compressive load on foundation
Cc = T + W + Bolt Preload= 105,299.4 + 123,488.2 + 0= 228,787.6 lb (103,776.3 kgf)
Foundation bearing stress
ITEM NO. : DA-4302 258
fc = Cc / (((tc - ts) + n*ts)*(d/2)*K2)= 228,787.6 / (((5.51181 - 0.1154617) + 9.2889*0.1154617)*(92.51968/2)*1.621881)= 471.39 psi (33.14206 kg/cm2)
As fc <= 750 psi the base plate width is satisfactory.
k = 1 / (1 + fs / (n*fc))= 1 / (1 + 8,392.976 / (9.2889*471.3913))= 0.3428449
Base plate required thickness (operating, new + Wind)
From Brownell & Young, Table 10.3:, l/b = 0.4183387
Mx = 0.01877*471.3913*9.4110552 = 783.6505
My = -0.37241*471.3913*3.9370082 = -2,721.043
tr = (6*Mmax / Sp)0.5
= (6*2,721.043 / 15,699.73)0.5
= 1.019758 in (25.90 mm)
The base plate thickness is satisfactory.
Check the compression ring for bolt load (Jawad & Farr equation 12.13)
tcr = (3.91*F/(Sy*(2*b/w+w/(2*l)-db*(2/w+1/(2*l)))))0.5
= (3.91*14,083.41/(36,000.00*(2*5.511811/4.133858+4.133858/(2*3.149)-2.028543*(2/4.133858+1/(2*3.149)))))0.5
= 0.8702958 in (22.11 mm)
The compression ring thickness is satisfactory.
Check gusset plate thickness (Bednar chapter 4.3)
Radius of gyration of gusset
r = 0.289*tg= 0.289*0.6299213= 0.1820472 in (4.62 mm)
Cross sectional area of one gusset
Ag = tg*(b - 0.25)= 0.6299213*(3.937008 - 0.25)= 2.322525 in2 (14.984 cm2)
Gusset allowable stress
Sa = 17000 - 0.485*(h / r)2
= 17000 - 0.485*(9.606299 / 0.1820472)2
= 15,649.53 psi (1,100.27 kg/cm2)
Gusset axial stress due to bolt load
Sg = F / (2 * Ag)= 14,083.41 / (2 * 2.322525)= 3,031.92 psi (213.1648 kg/cm2)
The gusset plate thickness is satisfactory.
Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59)
t = 1.76*(F*l/(Mb*hc*Ss))2/3*(ODs/2)1/3
= 1.76*(14,083.41*2.046261/(14.1619*11.81102*23,496.11))2/3*(90.15748/2)1/3
= 0.2364172 in (6.01 mm)
The skirt thickness is satisfactory.
Anchor bolt load (empty, corroded + Wind)
P = -0.6*W / N + 48 * M /(N*BC)= -0.6*111,551.2 / 20 + 48 * 902,901.7 /(20*94.25)= 19,645.13 lb (8,910.879 kgf)
ITEM NO. : DA-4302 259
Required area per bolt = P / Sb = 1.091418 in2 (7.04139 cm2)
The area provided (1.678 in2) by the specified anchor bolt is adequate.
Support calculations (Jawad & Farr chapter 12, empty, corroded + Wind)
Base plate width, tc: 5.51181 in (140.00 mm)Average base plate diameter, d: 92.51968 in (2,350.00 mm)Base plate elastic modulus, Es: 29,000,000psi (2,038,900 kg/cm2)Base plate yield stress, Sy: 36,000.00 psi (2,531.048 kg/cm2)
Ec = 57,000.00*Sqr(3,000.00) = 3,122,019 psi (219,499.4 kg/cm2)
n = Es/Ec = 29,000,000/3,122,019 = 9.2889
ts = (N*Ab) / (π*d)= (20*1.678) / (π*92.51968)= 0.1154617 in (2.93 mm)
From table 12.4 for k = 0.3302343:
K1 = 2.376389, K2 = 1.589284
L1 = 15.7114, L2 = 48.21426, L3 =24.17105
Total tensile force on bolting
T = (12*M - 0.6*W *(L1 + L3))/(L2 + L3)= (12*902,901.7 - 0.6*111,551.2 *(15.7114 + 24.17105))/(48.21426 + 24.17105)= 112,805.5 lb (51,167.71 kgf)
Tensile stress in bolts use the larger of fs or bolt preload = 0 psi
fs = T / (ts * (d/2) * K1)= 112,805.5 / (0.1154617 * (92.51968/2) * 2.376389)= 8,887.315 psi (624.8396 kg/cm2)
Total compressive load on foundation
Cc = T + W + Bolt Preload= 112,805.5 + 111,551.2 + 0= 224,356.7 lb (101,766.5 kgf)
Foundation bearing stress
fc = Cc / (((tc - ts) + n*ts)*(d/2)*K2)= 224,356.7 / (((5.51181 - 0.1154617) + 9.2889*0.1154617)*(92.51968/2)*1.589284)= 471.74 psi (33.16679 kg/cm2)
As fc <= 750 psi the base plate width is satisfactory.
k = 1 / (1 + fs / (n*fc))= 1 / (1 + 8,887.315 / (9.2889*471.743))= 0.3302343
Base plate required thickness (empty, corroded + Wind)
From Brownell & Young, Table 10.3:, l/b = 0.4183387
Mx = 0.01877*471.743*9.4110552 = 784.2352
My = -0.37241*471.743*3.9370082 = -2,723.074
tr = (6*Mmax / Sp)0.5
= (6*2,723.074 / 15,699.73)0.5
= 1.020139 in (25.91 mm)
The base plate thickness is satisfactory.
Check the compression ring for bolt load (Jawad & Farr equation 12.13)
tcr = (3.91*F/(Sy*(2*b/w+w/(2*l)-db*(2/w+1/(2*l)))))0.5
ITEM NO. : DA-4302 260
= (3.91*14,912.92/(36,000.00*(2*5.511811/4.133858+4.133858/(2*3.149)-2.028543*(2/4.133858+1/(2*3.149)))))0.5
= 0.895559 in (22.75 mm)
The compression ring thickness is satisfactory.
Check gusset plate thickness (Bednar chapter 4.3)
Radius of gyration of gusset
r = 0.289*tg= 0.289*0.6299213= 0.1820472 in (4.62 mm)
Cross sectional area of one gusset
Ag = tg*(b - 0.25)= 0.6299213*(3.937008 - 0.25)= 2.322525 in2 (14.984 cm2)
Gusset allowable stress
Sa = 17000 - 0.485*(h / r)2
= 17000 - 0.485*(9.606299 / 0.1820472)2
= 15,649.53 psi (1,100.27 kg/cm2)
Gusset axial stress due to bolt load
Sg = F / (2 * Ag)= 14,912.92 / (2 * 2.322525)= 3,210.50 psi (225.7201 kg/cm2)
The gusset plate thickness is satisfactory.
Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59)
t = 1.76*(F*l/(Mb*hc*Ss))2/3*(ODs/2)1/3
= 1.76*(14,912.92*2.046261/(14.1619*11.81102*23,496.11))2/3*(90.15748/2)1/3
= 0.2456115 in (6.24 mm)
The skirt thickness is satisfactory.
Anchor bolt load (empty, new + Wind)
P = -0.6*W / N + 48 * M /(N*BC)= -0.6*116,614.5 / 20 + 48 * 896,186.0 /(20*94.25)= 19,322.21 lb (8,764.409 kgf)
Required area per bolt = P / Sb = 1.073478 in2 (6.92565 cm2)
The area provided (1.678 in2) by the specified anchor bolt is adequate.
Support calculations (Jawad & Farr chapter 12, empty, new + Wind)
Base plate width, tc: 5.51181 in (140.00 mm)Average base plate diameter, d: 92.51968 in (2,350.00 mm)Base plate elastic modulus, Es: 29,000,000psi (2,038,900 kg/cm2)Base plate yield stress, Sy: 36,000.00 psi (2,531.048 kg/cm2)
Ec = 57,000.00*Sqr(3,000.00) = 3,122,019 psi (219,499.4 kg/cm2)
n = Es/Ec = 29,000,000/3,122,019 = 9.2889
ts = (N*Ab) / (π*d)= (20*1.678) / (π*92.51968)= 0.1154617 in (2.93 mm)
From table 12.4 for k = 0.3351675:
K1 = 2.365646, K2 = 1.602089
L1 = 15.25493, L2 = 47.87421, L3 =24.52745
Total tensile force on bolting
ITEM NO. : DA-4302 261
T = (12*M - 0.6*W *(L1 + L3))/(L2 + L3)= (12*896,186.0 - 0.6*116,614.5 *(15.25493 + 24.52745))/(47.87421 + 24.52745)= 110,090.1 lb (49,936.05 kgf)
Tensile stress in bolts use the larger of fs or bolt preload = 0 psi
fs = T / (ts * (d/2) * K1)= 110,090.1 / (0.1154617 * (92.51968/2) * 2.365646)= 8,712.778 psi (612.5684 kg/cm2)
Total compressive load on foundation
Cc = T + W + Bolt Preload= 110,090.1 + 116,614.5 + 0= 226,704.7 lb (102,831.5 kgf)
Foundation bearing stress
fc = Cc / (((tc - ts) + n*ts)*(d/2)*K2)= 226,704.7 / (((5.51181 - 0.1154617) + 9.2889*0.1154617)*(92.51968/2)*1.602089)= 472.87 psi (33.24604 kg/cm2)
As fc <= 750 psi the base plate width is satisfactory.
k = 1 / (1 + fs / (n*fc))= 1 / (1 + 8,712.778 / (9.2889*472.8703))= 0.3351675
Base plate required thickness (empty, new + Wind)
From Brownell & Young, Table 10.3:, l/b = 0.4183387
Mx = 0.01877*472.8703*9.4110552 = 786.1092
My = -0.37241*472.8703*3.9370082 = -2,729.581
tr = (6*Mmax / Sp)0.5
= (6*2,729.581 / 15,699.73)0.5
= 1.021357 in (25.94 mm)
The base plate thickness is satisfactory.
Check the compression ring for bolt load (Jawad & Farr equation 12.13)
tcr = (3.91*F/(Sy*(2*b/w+w/(2*l)-db*(2/w+1/(2*l)))))0.5
= (3.91*14,620.04/(36,000.00*(2*5.511811/4.133858+4.133858/(2*3.149)-2.028543*(2/4.133858+1/(2*3.149)))))0.5
= 0.8867215 in (22.52 mm)
The compression ring thickness is satisfactory.
Check gusset plate thickness (Bednar chapter 4.3)
Radius of gyration of gusset
r = 0.289*tg= 0.289*0.6299213= 0.1820472 in (4.62 mm)
Cross sectional area of one gusset
Ag = tg*(b - 0.25)= 0.6299213*(3.937008 - 0.25)= 2.322525 in2 (14.984 cm2)
Gusset allowable stress
Sa = 17000 - 0.485*(h / r)2
= 17000 - 0.485*(9.606299 / 0.1820472)2
= 15,649.53 psi (1,100.27 kg/cm2)
Gusset axial stress due to bolt load
ITEM NO. : DA-4302 262
Sg = F / (2 * Ag)= 14,620.04 / (2 * 2.322525)= 3,147.45 psi (221.2872 kg/cm2)
The gusset plate thickness is satisfactory.
Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59)
t = 1.76*(F*l/(Mb*hc*Ss))2/3*(ODs/2)1/3
= 1.76*(14,620.04*2.046261/(14.1619*11.81102*23,496.11))2/3*(90.15748/2)1/3
= 0.2423852 in (6.16 mm)
The skirt thickness is satisfactory.
Anchor bolt load (vacuum, corroded + Wind)
P = -0.6*W / N + 48 * M /(N*BC)= -0.6*118,461.7 / 20 + 48 * 886,365.7 /(20*94.25)= 19,016.73 lb (8,625.846 kgf)
Required area per bolt = P / Sb = 1.056506 in2 (6.816157 cm2)
The area provided (1.678 in2) by the specified anchor bolt is adequate.
Support calculations (Jawad & Farr chapter 12, vacuum, corroded + Wind)
Base plate width, tc: 5.51181 in (140.00 mm)Average base plate diameter, d: 92.51968 in (2,350.00 mm)Base plate elastic modulus, Es: 29,000,000psi (2,038,900 kg/cm2)Base plate yield stress, Sy: 36,000.00 psi (2,531.048 kg/cm2)
Ec = 57,000.00*Sqr(3,000.00) = 3,122,019 psi (219,499.4 kg/cm2)
n = Es/Ec = 29,000,000/3,122,019 = 9.2889
ts = (N*Ab) / (π*d)= (20*1.678) / (π*92.51968)= 0.1154617 in (2.93 mm)
From table 12.4 for k = 0.3378221:
K1 = 2.359863, K2 = 1.60895
L1 = 15.0093, L2 = 47.69108, L3 =24.71917
Total tensile force on bolting
T = (12*M - 0.6*W *(L1 + L3))/(L2 + L3)= (12*886,365.7 - 0.6*118,461.7 *(15.0093 + 24.71917))/(47.69108 + 24.71917)= 107,893.7 lb (48,939.75 kgf)
Tensile stress in bolts use the larger of fs or bolt preload = 0 psi
fs = T / (ts * (d/2) * K1)= 107,893.7 / (0.1154617 * (92.51968/2) * 2.359863)= 8,559.868 psi (601.8177 kg/cm2)
Total compressive load on foundation
Cc = T + W + Bolt Preload= 107,893.7 + 118,461.7 + 0= 226,355.3 lb (102,673.1 kgf)
Foundation bearing stress
fc = Cc / (((tc - ts) + n*ts)*(d/2)*K2)= 226,355.3 / (((5.51181 - 0.1154617) + 9.2889*0.1154617)*(92.51968/2)*1.60895)= 470.13 psi (33.05325 kg/cm2)
As fc <= 750 psi the base plate width is satisfactory.
k = 1 / (1 + fs / (n*fc))= 1 / (1 + 8,559.868 / (9.2889*470.1281))
ITEM NO. : DA-4302 263
= 0.3378221
Base plate required thickness (vacuum, corroded + Wind)
From Brownell & Young, Table 10.3:, l/b = 0.4183387
Mx = 0.01877*470.1281*9.4110552 = 781.5505
My = -0.37241*470.1281*3.9370082 = -2,713.751
tr = (6*Mmax / Sp)0.5
= (6*2,713.751 / 15,699.73)0.5
= 1.018391 in (25.87 mm)
The base plate thickness is satisfactory.
Check the compression ring for bolt load (Jawad & Farr equation 12.13)
tcr = (3.91*F/(Sy*(2*b/w+w/(2*l)-db*(2/w+1/(2*l)))))0.5
= (3.91*14,363.46/(36,000.00*(2*5.511811/4.133858+4.133858/(2*3.149)-2.028543*(2/4.133858+1/(2*3.149)))))0.5
= 0.878906 in (22.32 mm)
The compression ring thickness is satisfactory.
Check gusset plate thickness (Bednar chapter 4.3)
Radius of gyration of gusset
r = 0.289*tg= 0.289*0.6299213= 0.1820472 in (4.62 mm)
Cross sectional area of one gusset
Ag = tg*(b - 0.25)= 0.6299213*(3.937008 - 0.25)= 2.322525 in2 (14.984 cm2)
Gusset allowable stress
Sa = 17000 - 0.485*(h / r)2
= 17000 - 0.485*(9.606299 / 0.1820472)2
= 15,649.53 psi (1,100.27 kg/cm2)
Gusset axial stress due to bolt load
Sg = F / (2 * Ag)= 14,363.46 / (2 * 2.322525)= 3,092.21 psi (217.4036 kg/cm2)
The gusset plate thickness is satisfactory.
Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59)
t = 1.76*(F*l/(Mb*hc*Ss))2/3*(ODs/2)1/3
= 1.76*(14,363.46*2.046261/(14.1619*11.81102*23,496.11))2/3*(90.15748/2)1/3
= 0.239541 in (6.08 mm)
The skirt thickness is satisfactory.
Anchor bolt load (operating, corroded + Seismic)
P = -W / N + 48 * M /(N*BC)= -118,461.7 / 20 + 48 * 984,024.5 /(20*94.25)= 19,134.30 lb (8,679.175 kgf)
Required area per bolt = P / Sb = 1.063038 in2 (6.858297 cm2)
The area provided (1.678 in2) by the specified anchor bolt is adequate.
Support calculations (Jawad & Farr chapter 12, operating, corroded + Seismic)
Base plate width, tc: 5.51181 in (140.00 mm)
ITEM NO. : DA-4302 264
Average base plate diameter, d: 92.51968 in (2,350.00 mm)Base plate elastic modulus, Es: 29,000,000psi (2,038,900 kg/cm2)Base plate yield stress, Sy: 36,000.00 psi (2,531.048 kg/cm2)
Ec = 57,000.00*Sqr(3,000.00) = 3,122,019 psi (219,499.4 kg/cm2)
n = Es/Ec = 29,000,000/3,122,019 = 9.2889
ts = (N*Ab) / (π*d)= (20*1.678) / (π*92.51968)= 0.1154617 in (2.93 mm)
From table 12.4 for k = 0.3597146:
K1 = 2.31209, K2 = 1.664848L1 = 12.9827, L2 = 46.17626, L3 = 26.2991
Total tensile force on bolting
T = (12*M - W *(L1 + L3))/(L2 + L3)= (12*984,024.5 - 118,461.7 *(12.9827 + 26.2991))/(46.17626 + 26.2991)= 98,721.92 lb (44,779.51 kgf)
Tensile stress in bolts use the larger of fs or bolt preload = 0 psi
fs = T / (ts * (d/2) * K1)= 98,721.92 / (0.1154617 * (92.51968/2) * 2.31209)= 7,994.049 psi (562.0367 kg/cm2)
Total compressive load on foundation
Cc = T + (1 + VAccel)*W + Bolt Preload= 98,721.92 + (1 + 0.2)*118,461.7 + 0= 240,875.9 lb (109,259.5 kgf)
Foundation bearing stress
fc = Cc / (((tc - ts) + n*ts)*(d/2)*K2)= 240,875.9 / (((5.51181 - 0.1154617) + 9.2889*0.1154617)*(92.51968/2)*1.664848)= 483.49 psi (33.99263 kg/cm2)
As fc <= 750 psi the base plate width is satisfactory.
k = 1 / (1 + fs / (n*fc))= 1 / (1 + 7,994.049 / (9.2889*483.4893))= 0.3597146
Base plate required thickness (operating, corroded + Seismic)
From Brownell & Young, Table 10.3:, l/b = 0.4183387
Mx = 0.01877*483.4893*9.4110552 = 803.7625
My = -0.37241*483.4893*3.9370082 = -2,790.878
tr = (6*Mmax / Sp)0.5
= (6*2,790.878 / 15,699.73)0.5
= 1.032761 in (26.23 mm)
The base plate thickness is satisfactory.
Check the compression ring for bolt load (Jawad & Farr equation 12.13)
tcr = (3.91*F/(Sy*(2*b/w+w/(2*l)-db*(2/w+1/(2*l)))))0.5
= (3.91*13,414.01/(36,000.00*(2*5.511811/4.133858+4.133858/(2*3.149)-2.028543*(2/4.133858+1/(2*3.149)))))0.5
= 0.8493609 in (21.57 mm)
The compression ring thickness is satisfactory.
Check gusset plate thickness (Bednar chapter 4.3)
Radius of gyration of gusset
ITEM NO. : DA-4302 265
r = 0.289*tg= 0.289*0.6299213= 0.1820472 in (4.62 mm)
Cross sectional area of one gusset
Ag = tg*(b - 0.25)= 0.6299213*(3.937008 - 0.25)= 2.322525 in2 (14.984 cm2)
Gusset allowable stress
Sa = 17000 - 0.485*(h / r)2
= 17000 - 0.485*(9.606299 / 0.1820472)2
= 15,649.53 psi (1,100.27 kg/cm2)
Gusset axial stress due to bolt load
Sg = F / (2 * Ag)= 13,414.01 / (2 * 2.322525)= 2,887.81 psi (203.0329 kg/cm2)
The gusset plate thickness is satisfactory.
Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59)
t = 1.76*(F*l/(Mb*hc*Ss))2/3*(ODs/2)1/3
= 1.76*(13,414.01*2.046261/(14.1619*11.81102*23,496.11))2/3*(90.15748/2)1/3
= 0.2288651 in (5.81 mm)
The skirt thickness is satisfactory.
Anchor bolt load (operating, new + Seismic)
P = -W / N + 48 * M /(N*BC)= -123,488.2 / 20 + 48 * 1,027,807 /(20*94.25)= 19,997.86 lb (9,070.879 kgf)
Required area per bolt = P / Sb = 1.111015 in2 (7.167822 cm2)
The area provided (1.678 in2) by the specified anchor bolt is adequate.
Support calculations (Jawad & Farr chapter 12, operating, new + Seismic)
Base plate width, tc: 5.51181 in (140.00 mm)Average base plate diameter, d: 92.51968 in (2,350.00 mm)Base plate elastic modulus, Es: 29,000,000psi (2,038,900 kg/cm2)Base plate yield stress, Sy: 36,000.00 psi (2,531.048 kg/cm2)
Ec = 57,000.00*Sqr(3,000.00) = 3,122,019 psi (219,499.4 kg/cm2)
n = Es/Ec = 29,000,000/3,122,019 = 9.2889
ts = (N*Ab) / (π*d)= (20*1.678) / (π*92.51968)= 0.1154617 in (2.93 mm)
From table 12.4 for k = 0.3594393:
K1 = 2.312692, K2 = 1.664153
L1 = 13.00818, L2 = 46.19534, L3 =26.27925
Total tensile force on bolting
T = (12*M - W *(L1 + L3))/(L2 + L3)= (12*1,027,807 - 123,488.2 *(13.00818 + 26.27925))/(46.19534 + 26.27925)= 103,238.2 lb (46,828.08 kgf)
Tensile stress in bolts use the larger of fs or bolt preload = 0 psi
fs = T / (ts * (d/2) * K1)= 103,238.2 / (0.1154617 * (92.51968/2) * 2.312692)
ITEM NO. : DA-4302 266
= 8,357.585 psi (587.5959 kg/cm2)
Total compressive load on foundation
Cc = T + (1 + VAccel)*W + Bolt Preload= 103,238.2 + (1 + 0.2)*123,488.2 + 0= 251,424.1 lb (114,044.1 kgf)
Foundation bearing stress
fc = Cc / (((tc - ts) + n*ts)*(d/2)*K2)= 251,424.1 / (((5.51181 - 0.1154617) + 9.2889*0.1154617)*(92.51968/2)*1.664153)= 504.87 psi (35.49602 kg/cm2)
As fc <= 750 psi the base plate width is satisfactory.
k = 1 / (1 + fs / (n*fc))= 1 / (1 + 8,357.585 / (9.2889*504.8725))= 0.3594393
Base plate required thickness (operating, new + Seismic)
From Brownell & Young, Table 10.3:, l/b = 0.4183387
Mx = 0.01877*504.8725*9.4110552 = 839.3104
My = -0.37241*504.8725*3.9370082 = -2,914.309
tr = (6*Mmax / Sp)0.5
= (6*2,914.309 / 15,699.73)0.5
= 1.055352 in (26.81 mm)
The base plate thickness is satisfactory.
Check the compression ring for bolt load (Jawad & Farr equation 12.13)
tcr = (3.91*F/(Sy*(2*b/w+w/(2*l)-db*(2/w+1/(2*l)))))0.5
= (3.91*14,024.03/(36,000.00*(2*5.511811/4.133858+4.133858/(2*3.149)-2.028543*(2/4.133858+1/(2*3.149)))))0.5
= 0.8684589 in (22.06 mm)
The compression ring thickness is satisfactory.
Check gusset plate thickness (Bednar chapter 4.3)
Radius of gyration of gusset
r = 0.289*tg= 0.289*0.6299213= 0.1820472 in (4.62 mm)
Cross sectional area of one gusset
Ag = tg*(b - 0.25)= 0.6299213*(3.937008 - 0.25)= 2.322525 in2 (14.984 cm2)
Gusset allowable stress
Sa = 17000 - 0.485*(h / r)2
= 17000 - 0.485*(9.606299 / 0.1820472)2
= 15,649.53 psi (1,100.27 kg/cm2)
Gusset axial stress due to bolt load
Sg = F / (2 * Ag)= 14,024.03 / (2 * 2.322525)= 3,019.13 psi (212.266 kg/cm2)
The gusset plate thickness is satisfactory.
Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59)
t = 1.76*(F*l/(Mb*hc*Ss))2/3*(ODs/2)1/3
ITEM NO. : DA-4302 267
= 1.76*(14,024.03*2.046261/(14.1619*11.81102*23,496.11))2/3*(90.15748/2)1/3
= 0.2357521 in (5.99 mm)
The skirt thickness is satisfactory.
Anchor bolt load (empty, corroded + Seismic)
P = -W / N + 48 * M /(N*BC)= -111,551.2 / 20 + 48 * 934,852.2 /(20*94.25)= 18,227.70 lb (8,267.944 kgf)
Required area per bolt = P / Sb = 1.01267 in2 (6.533341 cm2)
The area provided (1.678 in2) by the specified anchor bolt is adequate.
Support calculations (Jawad & Farr chapter 12, empty, corroded + Seismic)
Base plate width, tc: 5.51181 in (140.00 mm)Average base plate diameter, d: 92.51968 in (2,350.00 mm)Base plate elastic modulus, Es: 29,000,000psi (2,038,900 kg/cm2)Base plate yield stress, Sy: 36,000.00 psi (2,531.048 kg/cm2)
Ec = 57,000.00*Sqr(3,000.00) = 3,122,019 psi (219,499.4 kg/cm2)
n = Es/Ec = 29,000,000/3,122,019 = 9.2889
ts = (N*Ab) / (π*d)= (20*1.678) / (π*92.51968)= 0.1154617 in (2.93 mm)
From table 12.4 for k = 0.3584881:
K1 = 2.31477, K2 = 1.66175L1 = 13.09621, L2 = 46.26128, L3 = 26.21069
Total tensile force on bolting
T = (12*M - W *(L1 + L3))/(L2 + L3)= (12*934,852.2 - 111,551.2 *(13.09621 + 26.21069))/(46.26128 + 26.21069)= 94,291.54 lb (42,769.93 kgf)
Tensile stress in bolts use the larger of fs or bolt preload = 0 psi
fs = T / (ts * (d/2) * K1)= 94,291.54 / (0.1154617 * (92.51968/2) * 2.31477)= 7,626.459 psi (536.1927 kg/cm2)
Total compressive load on foundation
Cc = T + (1 + VAccel)*W + Bolt Preload= 94,291.54 + (1 + 0.2)*111,551.2 + 0= 228,153.0 lb (103,488.5 kgf)
Foundation bearing stress
fc = Cc / (((tc - ts) + n*ts)*(d/2)*K2)= 228,153.0 / (((5.51181 - 0.1154617) + 9.2889*0.1154617)*(92.51968/2)*1.66175)= 458.81 psi (32.25719 kg/cm2)
As fc <= 750 psi the base plate width is satisfactory.
k = 1 / (1 + fs / (n*fc))= 1 / (1 + 7,626.459 / (9.2889*458.8055))= 0.3584881
Base plate required thickness (empty, corroded + Seismic)
From Brownell & Young, Table 10.3:, l/b = 0.4183387
Mx = 0.01877*458.8055*9.4110552 = 762.7276
My = -0.37241*458.8055*3.9370082 = -2,648.394
ITEM NO. : DA-4302 268
tr = (6*Mmax / Sp)0.5
= (6*2,648.394 / 15,699.73)0.5
= 1.006053 in (25.55 mm)
The base plate thickness is satisfactory.
Check the compression ring for bolt load (Jawad & Farr equation 12.13)
tcr = (3.91*F/(Sy*(2*b/w+w/(2*l)-db*(2/w+1/(2*l)))))0.5
= (3.91*12,797.20/(36,000.00*(2*5.511811/4.133858+4.133858/(2*3.149)-2.028543*(2/4.133858+1/(2*3.149)))))0.5
= 0.8296031 in (21.07 mm)
The compression ring thickness is satisfactory.
Check gusset plate thickness (Bednar chapter 4.3)
Radius of gyration of gusset
r = 0.289*tg= 0.289*0.6299213= 0.1820472 in (4.62 mm)
Cross sectional area of one gusset
Ag = tg*(b - 0.25)= 0.6299213*(3.937008 - 0.25)= 2.322525 in2 (14.984 cm2)
Gusset allowable stress
Sa = 17000 - 0.485*(h / r)2
= 17000 - 0.485*(9.606299 / 0.1820472)2
= 15,649.53 psi (1,100.27 kg/cm2)
Gusset axial stress due to bolt load
Sg = F / (2 * Ag)= 12,797.20 / (2 * 2.322525)= 2,755.02 psi (193.6968 kg/cm2)
The gusset plate thickness is satisfactory.
Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59)
t = 1.76*(F*l/(Mb*hc*Ss))2/3*(ODs/2)1/3
= 1.76*(12,797.20*2.046261/(14.1619*11.81102*23,496.11))2/3*(90.15748/2)1/3
= 0.2217943 in (5.63 mm)
The skirt thickness is satisfactory.
Anchor bolt load (empty, new + Seismic)
P = -W / N + 48 * M /(N*BC)= -116,614.5 / 20 + 48 * 978,748.0 /(20*94.25)= 19,092.30 lb (8,660.121 kgf)
Required area per bolt = P / Sb = 1.060704 in2 (6.843241 cm2)
The area provided (1.678 in2) by the specified anchor bolt is adequate.
Support calculations (Jawad & Farr chapter 12, empty, new + Seismic)
Base plate width, tc: 5.51181 in (140.00 mm)Average base plate diameter, d: 92.51968 in (2,350.00 mm)Base plate elastic modulus, Es: 29,000,000psi (2,038,900 kg/cm2)Base plate yield stress, Sy: 36,000.00 psi (2,531.048 kg/cm2)
Ec = 57,000.00*Sqr(3,000.00) = 3,122,019 psi (219,499.4 kg/cm2)
n = Es/Ec = 29,000,000/3,122,019 = 9.2889
ts = (N*Ab) / (π*d)= (20*1.678) / (π*92.51968)
ITEM NO. : DA-4302 269
= 0.1154617 in (2.93 mm)
From table 12.4 for k = 0.3582821:
K1 = 2.315219, K2 = 1.661229
L1 = 13.11527, L2 = 46.27555, L3 =26.19585
Total tensile force on bolting
T = (12*M - W *(L1 + L3))/(L2 + L3)= (12*978,748.0 - 116,614.5 *(13.11527 + 26.19585))/(46.27555 + 26.19585)= 98,807.64 lb (44,818.39 kgf)
Tensile stress in bolts use the larger of fs or bolt preload = 0 psi
fs = T / (ts * (d/2) * K1)= 98,807.64 / (0.1154617 * (92.51968/2) * 2.315219)= 7,990.177 psi (561.7645 kg/cm2)
Total compressive load on foundation
Cc = T + (1 + VAccel)*W + Bolt Preload= 98,807.64 + (1 + 0.2)*116,614.5 + 0= 238,745.1 lb (108,293.0 kgf)
Foundation bearing stress
fc = Cc / (((tc - ts) + n*ts)*(d/2)*K2)= 238,745.1 / (((5.51181 - 0.1154617) + 9.2889*0.1154617)*(92.51968/2)*1.661229)= 480.26 psi (33.76532 kg/cm2)
As fc <= 750 psi the base plate width is satisfactory.
k = 1 / (1 + fs / (n*fc))= 1 / (1 + 7,990.177 / (9.2889*480.2562))= 0.3582821
Base plate required thickness (empty, new + Seismic)
From Brownell & Young, Table 10.3:, l/b = 0.4183387
Mx = 0.01877*480.2562*9.4110552 = 798.3878
My = -0.37241*480.2562*3.9370082 = -2,772.215
tr = (6*Mmax / Sp)0.5
= (6*2,772.215 / 15,699.73)0.5
= 1.029302 in (26.14 mm)
The base plate thickness is satisfactory.
Check the compression ring for bolt load (Jawad & Farr equation 12.13)
tcr = (3.91*F/(Sy*(2*b/w+w/(2*l)-db*(2/w+1/(2*l)))))0.5
= (3.91*13,407.52/(36,000.00*(2*5.511811/4.133858+4.133858/(2*3.149)-2.028543*(2/4.133858+1/(2*3.149)))))0.5
= 0.8491552 in (21.57 mm)
The compression ring thickness is satisfactory.
Check gusset plate thickness (Bednar chapter 4.3)
Radius of gyration of gusset
r = 0.289*tg= 0.289*0.6299213= 0.1820472 in (4.62 mm)
Cross sectional area of one gusset
Ag = tg*(b - 0.25)= 0.6299213*(3.937008 - 0.25)= 2.322525 in2 (14.984 cm2)
ITEM NO. : DA-4302 270
Gusset allowable stress
Sa = 17000 - 0.485*(h / r)2
= 17000 - 0.485*(9.606299 / 0.1820472)2
= 15,649.53 psi (1,100.27 kg/cm2)
Gusset axial stress due to bolt load
Sg = F / (2 * Ag)= 13,407.52 / (2 * 2.322525)= 2,886.41 psi (202.9345 kg/cm2)
The gusset plate thickness is satisfactory.
Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59)
t = 1.76*(F*l/(Mb*hc*Ss))2/3*(ODs/2)1/3
= 1.76*(13,407.52*2.046261/(14.1619*11.81102*23,496.11))2/3*(90.15748/2)1/3
= 0.2287912 in (5.81 mm)
The skirt thickness is satisfactory.
Anchor bolt load (vacuum, corroded + Seismic)
P = -W / N + 48 * M /(N*BC)= -118,461.7 / 20 + 48 * 984,024.5 /(20*94.25)= 19,134.30 lb (8,679.175 kgf)
Required area per bolt = P / Sb = 1.063038 in2 (6.858297 cm2)
The area provided (1.678 in2) by the specified anchor bolt is adequate.
Support calculations (Jawad & Farr chapter 12, vacuum, corroded + Seismic)
Base plate width, tc: 5.51181 in (140.00 mm)Average base plate diameter, d: 92.51968 in (2,350.00 mm)Base plate elastic modulus, Es: 29,000,000psi (2,038,900 kg/cm2)Base plate yield stress, Sy: 36,000.00 psi (2,531.048 kg/cm2)
Ec = 57,000.00*Sqr(3,000.00) = 3,122,019 psi (219,499.4 kg/cm2)
n = Es/Ec = 29,000,000/3,122,019 = 9.2889
ts = (N*Ab) / (π*d)= (20*1.678) / (π*92.51968)= 0.1154617 in (2.93 mm)
From table 12.4 for k = 0.3597146:
K1 = 2.31209, K2 = 1.664848L1 = 12.9827, L2 = 46.17626, L3 = 26.2991
Total tensile force on bolting
T = (12*M - W *(L1 + L3))/(L2 + L3)= (12*984,024.5 - 118,461.7 *(12.9827 + 26.2991))/(46.17626 + 26.2991)= 98,721.92 lb (44,779.51 kgf)
Tensile stress in bolts use the larger of fs or bolt preload = 0 psi
fs = T / (ts * (d/2) * K1)= 98,721.92 / (0.1154617 * (92.51968/2) * 2.31209)= 7,994.049 psi (562.0367 kg/cm2)
Total compressive load on foundation
Cc = T + (1 + VAccel)*W + Bolt Preload= 98,721.92 + (1 + 0.2)*118,461.7 + 0= 240,875.9 lb (109,259.5 kgf)
Foundation bearing stress
ITEM NO. : DA-4302 271
fc = Cc / (((tc - ts) + n*ts)*(d/2)*K2)= 240,875.9 / (((5.51181 - 0.1154617) + 9.2889*0.1154617)*(92.51968/2)*1.664848)= 483.49 psi (33.99263 kg/cm2)
As fc <= 750 psi the base plate width is satisfactory.
k = 1 / (1 + fs / (n*fc))= 1 / (1 + 7,994.049 / (9.2889*483.4893))= 0.3597146
Base plate required thickness (vacuum, corroded + Seismic)
From Brownell & Young, Table 10.3:, l/b = 0.4183387
Mx = 0.01877*483.4893*9.4110552 = 803.7625
My = -0.37241*483.4893*3.9370082 = -2,790.878
tr = (6*Mmax / Sp)0.5
= (6*2,790.878 / 15,699.73)0.5
= 1.032761 in (26.23 mm)
The base plate thickness is satisfactory.
Check the compression ring for bolt load (Jawad & Farr equation 12.13)
tcr = (3.91*F/(Sy*(2*b/w+w/(2*l)-db*(2/w+1/(2*l)))))0.5
= (3.91*13,414.01/(36,000.00*(2*5.511811/4.133858+4.133858/(2*3.149)-2.028543*(2/4.133858+1/(2*3.149)))))0.5
= 0.8493609 in (21.57 mm)
The compression ring thickness is satisfactory.
Check gusset plate thickness (Bednar chapter 4.3)
Radius of gyration of gusset
r = 0.289*tg= 0.289*0.6299213= 0.1820472 in (4.62 mm)
Cross sectional area of one gusset
Ag = tg*(b - 0.25)= 0.6299213*(3.937008 - 0.25)= 2.322525 in2 (14.984 cm2)
Gusset allowable stress
Sa = 17000 - 0.485*(h / r)2
= 17000 - 0.485*(9.606299 / 0.1820472)2
= 15,649.53 psi (1,100.27 kg/cm2)
Gusset axial stress due to bolt load
Sg = F / (2 * Ag)= 13,414.01 / (2 * 2.322525)= 2,887.81 psi (203.0329 kg/cm2)
The gusset plate thickness is satisfactory.
Check skirt thickness for bolt load reaction (Brownell & Young eq. 10.59)
t = 1.76*(F*l/(Mb*hc*Ss))2/3*(ODs/2)1/3
= 1.76*(13,414.01*2.046261/(14.1619*11.81102*23,496.11))2/3*(90.15748/2)1/3
= 0.2288651 in (5.81 mm)
The skirt thickness is satisfactory.
ITEM NO. : DA-4302 272
MATERIAL : A283-C
1 . DESIGN CONDITION
We : TOTAL ERECTION WEIGHT = Kg
F : IMPACT FACTOR =
R : DISTANCE BETWEEN VESSEL CENTER TO TAILING LUG HOLE = mm
X : DISTANCE BETWEEN VESSEL COG. TO LIFTING LUG HOLE = mm
Y : DISTANCE BETWEEN BASE TO COG. = mm
α : LIFTING ANGLE (FIGURE)
W = F x We = Kg
LL = W x (Y.Cosα + R.Sinα)/ {(X+Y).Cosα + R.Sinα}
TL = W x (X.Cosα)/ {(X+Y).Cosα + R.Sinα}
LV = LL x Cosα LH = LL x Sinα TV = TL x Cosα
TH = TL x Sinα PV = 0.5LH PH = PV x Tan(5)
LIFTING FORCE
19312
1295
1.5
25000
14988
37500
ITEM NO. : DA-4302 273
2 . RESULT OF LIFTING FORCE
3 . MAXIMUM FORCE SUMMARY AT LIFTING AND TAILING LUG
LIFTING FORCE
70 90ANGLE 90 90
21114 21114 17976FORCE 37500 16393 37500
0 0 18750 1640
1285 14693 11332 991
3020 17126 9902 866
4790 17876 9173 803
17702 8142 712
6543 17976 8631 755
16410 7154 626
9909 17163 7657 670
14386 6065 531
12987 15478 6625 580
11798 4855 425
15677 13155 5475 479
8769 3540 310
17895 10332 4209 368
5410 2148 188
19571 7123 2851 249
17390
14749
0
20655
20190
18804
16850
14386
11491
8255
19818
19532
19129
18506
20465
20346
20205
20033
20827
20748
20663
20570
19804
1983 22665
0 37500
16284
6283 17263
4916 18347
13249
10018 14308
8841 15313
9711
13049 10950
12130 12130
5702
15182 7080
14581 8418
20110
22751
37500
16275
16032
15667
13868
11117
7593
3492
17682
17968
18371
18994
17035
17154
17295
17467
16673
16752
16837
16930
16598
2870
4296
20974
20902
80
90
55
60
65
70
75
85
35
40
45
50
15
20
25
30
21044 20964 1834
10 16526 3642
5 16456 16393 1434
0 21114 21114 0
α
0 16386 16386
LL LV PHLH TL TV TH
126
1640
90
PV
0 0
717 63
1435
18750
ITEM NO. : DA-4302 274
MATERIAL : A283-C
DIMENSION (mm)
A = N =
B = P =
C = R =
D = d =
F = U =
H = V =
J = t1 =
K = t2 =
M = t3 =
ø = o
1. DESIGN CONDITION
W : TOTAL ERECTION WEIGHT = Kg
Y : DISTANCE BETWEEN BASE TO COG. = mm
Ls : DISTANCE BETWEEN BASE TO LIFTING LUG HOLE = mm
Fi : IMPACT FACTOR =
n : NUMBER OF LIFTING LUG = EA.
DT : DESIGN TEMPERATURE = oC
Sy : YIELD STRENGTH OF LUG MATERIAL = Kg/mm2
Sb : ALLOWABLE BENDING STRESS OF LUG (0.66Sy) = Kg/mm2
Ss : ALLOWABLE SHEAR STRESS OF LUG (0.4Sy) = Kg/mm2
St : ALLOWABLE TENSILE STRESS OF LUG (0.6Sy) = Kg/mm2
Sw : ALLOWABLE SHEAR STRESS OF WELDMENT (0.49St) = Kg/mm2
W1 = Fi * W / n = Kg
W2 = W1 * tanø = Kg
W3 = W1 * Y / Ls = Kg
W4 = W3 * (A - C/2) / (A - C/2 - B) = Kg
W5 = W2 * (A - C/2) / (A - C/2 - B) = Kg
25000
14988
34300
1.5
2
21.093
21
12.656
110
510
6673.73
10883.4
8193.15
5024.05
18750
6.201
8.437
13.921
110
90
180
130
15
180
22
10
LIFTING LUG
360
260
14
19
38
14
14
90
130
ITEM NO. : DA-4302 275
2. CHECK OF LUG
1) SHEAR STRESS DUE TO W1
S1 = 2W1/{(P-d)*t1} = < Ss = Kg/mm2 (It's OK.)
2) TENSION DUE TO W1
S2 = W1/{(P-d)*t1} = < St = Kg/mm2 (It's OK.)
3) BENDING STRESS DUE TO W3
S3 = 6W3*(B+t2/2)/(P2*t1) = < Sb = Kg/mm2 (It's OK.)
4) SHEAR STRESS DUE TO W3
S4 = W3/(P*t1) = < Ss = Kg/mm2 (It's OK.)
3. SECTION "1 - 1"
1) BENDING STRESS DUE TO W2
S3 = 6W2 * B / (P * t12) = Kg/mm2
2) TENSION STRESS DUE TO W1
S4 = W1 / (P * t1) = Kg/mm2
3) COMBINED STRESS
S5 = S3 + S4 = < St = Kg/mm2 (It's OK.)
4. SECTION "2 - 2"
1) AXIAL STRESS DUE TO W5
S6 = W5 / (P * t2) = < St = Kg/mm2 (It's OK.)
5. CHECK OF WELDMENT
1) LUG TO PAD
S7 = √2*W1/{(4H+P)K} = < Sw = Kg/mm2 (It's OK.)
2) PAD TO SHELL
S8 = √2*W1/{2(M+N)J} = < Sw = Kg/mm2 (It's OK.)
3) RIB TO PAD
S9 = W4/{(U+V/√2)P} = < Sw = Kg/mm2 (It's OK.)
4) RIB TO LUG
S10 = W4/{2(U/√2)(C+P)}= < Sw = Kg/mm2 (It's OK.)
5) LUG TO RIB
S11= = W1/{(U+V/√2)P} = < Sw = Kg/mm2 (It's OK.)
6) PAD TO RIB
S12 = W1.Cos ø /{2(U/√2)(K+P)}= < Sw = Kg/mm2 (It's OK.)
8.832
LIFTING LUG
8.4375.805
2.287 13.921
0.829 8.437
12.6562.902
10.730 12.656
1.898
12.6561.351
6.201
6.201
6.2011.751
2.455
1.722
1.409 6.201
3.017 6.201
3.244 6.201
ITEM NO. : DA-4302 276
MATERIAL : A283-C
1 . DESIGN DATA
TV : VERTICAL FORCE = Kg
TH : HORIZONTAL FORCE = Kg
Tt : TAILING LUG THICKNESS = mm
W2 : USED WELD SIZE = mm
Sat : ALLOWABLE STRESS OF TAILING LUG = Kg/mm2
Syt : YIELD STRENGTH OF TAILING LUG = Kg/mm2
2 . DIMENSION (mm)
L1 = d =L2 =
H = b =R =
d = L =B =
3 . SHEAR STRESS IN LUG
S1 = TV / {2Tt(R - d/2)} = < 0.8Sat = Kg/mm2
4 . BENDING STRESS IN LUG
S2 = M/Zx = 6TH.B / (Tt.H2) = < 0.66Syt = Kg/mm2
5 . TENSILE STRESS IN LUG
S3 = TV / (Tt.H) = < 0.8Sat = Kg/mm2
6 . SHEAR FORCE IN WELDMENT
Ws = TV / {2(L1 + L2 + H)} = Kg-mm
FILLET WELD SIZE
Wz = Ws / 0.55Sat = < W2 = mm
7 . COMBINE STRESS
S4 = S2 + S3 = < 0.66Syt = Kg/mm2
TAILING LUG
21.093
21114
11.038
17976
38
20
2.277
21.812
3.593
(OK.)
(OK.)
8.831
8.831
(OK.)
140 100
244 122
(OK.)
20
(OK.)
70 50
3.193
2.384
4.661
13.921
13.921
ITEM NO. : DA-4302 277
MATERIAL : A283-C
1 . DESIGN DATA
Fi : Impact Load Factor =
We : Erection Weight = Kg
Sy : Yield Strength of Material = Kg/mm2
Sbs : Allowable Bending Stress (2Sy/3) = Kg/mm2
2 . DIMENSION (mm)
HL = HC =
tb1 = tb2 = tb3 =
DO = J1 = J2 =
J3 = Ls = BO =
CALCULATION OF BASE BLOCK
14.062
21.093
25000
1.5
34300 14988
28 28 20
0
140
244
140
100
2290
ITEM NO. : DA-4302 278
3 . CALCULATION OF BASE BLOCK
LG = 1.1 x SQRT(DO.tb3) + Ls + tb2 = mm
RG = Fi.We - 2(Fi.HC.We/2HL) = Kg
AG = J2.tb1 + J1.tb2 + LG.tb3 = mm2
e3 = (J22.tb1 + J12.tb2 + LG.tb32 + 2J1.LG.tb3)/(2AG) = mm
e4 = J2 - e3 = mm
D = DO + 2(J1 - tb3) - 2.e3 = mm
IG1 = tb1(e33 + e43)/3 = mm
IG2 = tb2{(J1-e3)3 + e33)/3 = mm
IG3 = tb3.LG{tb32/3 + (J1 - e3)(J1 - e3 + tb3)} = mm
IG = IG1 + IG2 + IG3 = mm
e' = The Larger of e3 or e4 = mm
X = asin[BO/{DO + 2(J1 - tb3)}] =
M1 = D.RG{1/2 + cos(X) + Xsin(X) - π.sin(X) + sin2(X)}/(4π) = Kg
F1 = RG.{sin2(X) - 1/2}/2π = Kg
Mg = M1 - E1.D.{1 - cos(X)}/2 + [D.RG{Xsin(X) + cos(X)-1}]/4π = Kg
A) Stress due to MomentA . STRESS DUE TO MOMENT
Sgb = e'.Mg/IG = Kg/mm2 > Sbs = Kg/mm2
* Therefore, Reinforcement shall be Provided.
5795935.1
CALCULATION OF BASE BLOCK
115.13
17988.21
21114
507.41
12675731
4.15E+07
115.13
0.00
1.44E+07
2300
24.87
14387555
-1680
5795935.1
16.099 14.062
ITEM NO. : DA-4302 279
A) Stress due to MomentB . CALCULATION OF REINFORCEMENT
REDUCED LOAD BY REINFORCEMENT
P = Ar.Sar = Kg
Where, Ar : Minimum Effective Area of Reinforcement Structure
= mm2 USE : C100x50x5/7.5
Sar : Allowable Compression Stress of Reinforcement
= Kg/mm2
RG' = RG - P = Kg
M1' = D.RG'{1/2 + cos(X) + Xsin(X) - π.sin(X) + sin2(X)}/(4π)
= Kg
E1' = RG'.{sin2(X) - 1/2}/2π = Kg
Mg' = M1'- E1'.D.{1 - cos(X)}/2 + [D.RG'{Xsin(X) + cos(X)-1}]/4π
= Kg
REDUCED LOAD BY REINFORCEMENT
Sgb' = e'.Mg'/IG = Kg/mm2 < Sbs = Kg/mm2
* Therefore, Reinforcement is OK.
CALCULATION OF BASE BLOCK
10609
1192
8.9
10505
14.062
2883707
-836
2883707
8.010
ITEM NO. : DA-4302 280
top related