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Codeware, Inc.
Sarasota, FL, USA
www.codeware.com
COMPRESS Pressure Vessel Design Calculations
Item: Split Stream Dearator
Vessel No: V-1234
Customer: Magaladon Oil Venture
Contract: C-45490-R56
Designer: John Doe
Date: April 1, 2001
You can edit this page by selecting Cover Page settings... in the report menu.
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Table of ContentsGeneral Arrangement Drawing................................................................................................................................1/69
Deficiencies Summary..............................................................................................................................................2/69
Pressure Summary...................................................................................................................................................3/69
Revision History........................................................................................................................................................4/69
Settings Summary.....................................................................................................................................................5/69
Radiography Summary.............................................................................................................................................7/69
Thickness Summary.................................................................................................................................................8/69
Weight Summary.......................................................................................................................................................9/69
Long Seam Summary.............................................................................................................................................10/69
Hydrostatic Test......................................................................................................................................................12/69
Vacuum Summary...................................................................................................................................................13/69
Liquid Level bounded by Bottom of vessel..........................................................................................................14/69
Transition #1............................................................................................................................................................15/69
Cylinder #1...............................................................................................................................................................26/69
Cylinder #2...............................................................................................................................................................34/69
Legs #1.....................................................................................................................................................................47/69
Transition #2............................................................................................................................................................55/69
Seismic Code...........................................................................................................................................................66/69
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General Arrangement Drawing
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Deficiencies Summary
Deficiencies for Transition #1Transition calculations cannot be completed until a component is attached to the small end of the cone (or thediscontinuity is eliminated).
The half apex angle is greater than 30 degrees. This results in UW-3 Category B weld joints being UW-12 type 8. Auser defined joint efficiency should be used.
Deficiencies for Transition #2
Transition calculations cannot be completed until a component is attached to the small end of the cone (or thediscontinuity is eliminated).The half apex angle is greater than 30 degrees. This results in UW-3 Category B weld joints being UW-12 type 8. A
user defined joint efficiency should be used.
Warnings Summary
Warnings for Cylinder #1Do/t > 1000 which is outside of ASME code range. U-2(g) analysis performed. (warning)
Warnings for Cylinder #2Do/t > 1000 which is outside of ASME code range. U-2(g) analysis performed. (warning)
Warnings for Legs #1WRC 107: Rm / t > 300 (ratio not covered by WRC 107; Rm / t = 300 used which may be unconservative) (warning)
Warnings for Vessel
The vessel does not have a bottom closure (head or cover). (warning)The vessel does not have a top closure (head or cover). (warning)
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Pressure Summary
Component Summary
Identifier
P
Design
(psi)
T
Design
(°F)
MAWP
(psi)
MAP
(psi)
MDMT
(°F)
MDMT
Exemption
Impact
Tested
Transition #1 0 200 2,83 3,19 -320 Note 1 No
Cylinder #1 0 200 17,63 19,73 -320 Note 2 No
Cylinder #2 0 200 15,9 19,73 -320 Note 3 No
Transition #2 0 200 2,39 6,38 -320 Note 4 No
Legs #1 0 200 0 N/A N/A N/A N/A
Chamber Summary
Design MDMT -20 °F
Rated MDMT -320 °F @ 0 psi
MAWP hot & corroded 0 psi @ 200 °F
MAP cold & new 3,19 psi @ 70 °F
(1) This pressure chamber is not designed
for external pressure.
Notes for MDMT Rating
Note # Exemption Details
1. Impact test exempt per UHA-51(g) (coincident ratio = 0,0843)
2. Impact test exempt per UHA-51(g) (coincident ratio = 0,0849)
3. Impact test exempt per UHA-51(g) (coincident ratio = 0,1551)
4. Rated MDMT per UHA-51(d)(1)(a), (carbon content does not exceed 0,10%) = -320°F
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Revision History
Revisions
No. Date Operator Notes
0 12/11/2015 mnmeil New vessel created ASME Section VIII Division 1 [COMPRESS 2015 Build 7500]
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Settings Summary
COMPRESS 2015 Build 7500
ASME Section VIII Division 1, 2013 Edition
Units U.S. Customary
Datum Line Location 0,00" from bottom seam
Vessel Design Mode Get Thickness from Pressure
Minimum thickness 0,0625" per UG-16(b)
Design for cold shut down only No
Design for lethal service (full radiography required) No
Design nozzles forDesign P, find nozzle MAWP andMAP
Corrosion weight loss 100% of theoretical loss
UG-23 Stress Increase 1,20
Skirt/legs stress increase 1,0Minimum nozzle projection 6"
Juncture calculations for α > 30 only Yes
Preheat P-No 1 Materials > 1,25" and <= 1,50" thick No
UG-37(a) shell tr calculation considers longitudinal stress No
Cylindrical shells made from pipe are entered as minimum thickness No
Nozzles made from pipe are entered as minimum thickness No
Pipe caps are entered as minimum thickness No
Butt welds Tapered per Figure UCS-66.3(a)
Disallow Appendix 1-5, 1-8 calculations under 15 psi No
Hydro/Pneumatic Test
Shop Hydrotest Pressure 1,3 times vessel MAWP
Test liquid specific gravity 1,00
Maximum stress during test 90% of yield
Required Marking - UG-116
UG-116(e) Radiography None
UG-116(f) Postweld heat treatment None
Code Cases\Interpretations
Use Code Case 2547 No
Use Code Case 2695 No
Apply interpretation VIII-1-83-66 Yes
Apply interpretation VIII-1-86-175 Yes
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Apply interpretation VIII-1-01-37 Yes
Apply interpretation VIII-1-01-150 Yes
Apply interpretation VIII-1-07-50 Yes
No UCS-66.1 MDMT reduction No
No UCS-68(c) MDMT reduction No
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 testconditions
Yes
UG-22(c) Superimposed static reactions from weight of attached equipment
(external loads)No
UG-22(d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs Yes
UG-22(f) Wind reactions No
UG-22(f) Seismic reactions Yes
UG-22(j) Test pressure and coincident static head acting during the test: No
Note: UG-22(b),(c) and (f) loads only considered when supports are present.
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Radiography Summary
UG-116 Radiography
ComponentLongitudinal Seam Top Circumferential Seam Bottom Circumferential Seam
MarkCategory
(Fig UW-3)Radiography / Joint Type
Category(Fig UW-3)
Radiography / Joint TypeCategory
(Fig UW-3)Radiography / Joint Type
Transition #1 A None UW-11(c) / Type 1 B N/A / Type 8 B None UW-11(c) / Type 1 None
Cylinder #1 A None UW-11(c) / Type 1 B None UW-11(c) / Type 1 B None UW-11(c) / Type 1 None
Cylinder #2 A None UW-11(c) / Type 1 B None UW-11(c) / Type 1 B None UW-11(c) / Type 1 None
Transition #2 A None UW-11(c) / Type 1 B None UW-11(c) / Type 1 B N/A / Type 8 None
UG-116(e) Required Marking: None
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Thickness Summary
Component Data
Component
IdentifierMaterial Diameter
(in)
Length
(in)
Nominal t
(in)
Design t
(in)
Total Corrosion
(in)
Joint
ELoad
Transition #1 SA-240 304L 3 / 74 ID 10 0,0625 0,0065 0 0,70 External
Knuckle of Transition #1 SA-240 304L 74 -- 0,0625 0,0071 0 -- Internal
Cylinder #1 SA-240 304L 74 ID 48 0,0625 0,0067 0 0,70 Internal
Cylinder #2 SA-240 304L 74 ID 48 0,0625 0,0122 0 0,70 Internal
Transition #2 SA-240 304L 3 / 74 ID 10 0,125 0,0653 0 0,70 Internal
Knuckle of Transition #2 SA-240 304L 74 -- 0,125 0,0781 0 -- Internal
Definitions
Nominal t Vessel wall nominal thickness
Design t Required vessel thickness due to governing loading + corrosion
Joint E Longitudinal seam joint efficiency
Load
Internal Circumferential stress due to internal pressure governs
External External pressure governs
WindCombined longitudinal stress of pressure + weight + wind
governs
SeismicCombined longitudinal stress of pressure + weight + seismicgoverns
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Weight Summary
Weight (lb) Contributed by Vessel Elements
Component Metal
New*
Metal
CorrodedInsulation
Insulation
SupportsLining
Piping
+ Liquid
Operating Liquid Test LiquidSurface Area
ft2New Corroded New Corroded
Transition #1 88,9 88,9 0 0 0 0 894,5 894,5 894,5 894,5 34
Cylinder #1 202,4 202,4 0 0 0 0 7 451,9 7 451,9 7 451,9 7 451,9 78
Cylinder #2 202,4 202,4 0 0 0 0 7 451,9 7 451,9 7 451,9 7 451,9 78
Transition #2 177,7 177,7 0 0 0 0 894,7 894,7 894,7 894,7 34
Legs #1 97,7 97,7 0 0 0 0 0 0 0 0 12
TOTAL: 769,1 769,1 0 0 0 0 16 693 16 693 16 693 16 693 235
*Shells with attached nozzles have weight reduced by material cut out for opening.
Weight (lb) Contributed by Attachments
ComponentBody Flanges
Nozzles &
FlangesPackedBeds
Ladders &
PlatformsTrays
TraySupports
Rings &Clips
VerticalLoads
Surface
Areaft2
New Corroded New Corroded
Transition #1 0 0 0 0 0 0 0 0 0 0 0
Cylinder #1 0 0 0 0 0 0 0 0 0 0 0
Cylinder #2 0 0 0 0 0 0 0 0 0 0 0
Transition #2 0 0 0 0 0 0 0 0 0 0 0
Legs #1 0 0 0 0 0 0 0 0 0 0 0
TOTAL: 0 0 0 0 0 0 0 0 0 0 0
Vessel Totals
New Corroded
Operating Weight (lb) 17 462 17 462
Empty Weight (lb) 769 769
Test Weight (lb) 17 462 17 462
Surface Area (ft2) 235 -
Capacity** (US gal) 2 002 2 002
**The vessel capacity does not includevolume of nozzle, piping or otherattachments.
Vessel Lift Condition
Vessel Lift Weight, New (lb) 769
Center of Gravity from Datum (in) 44,4632
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Long Seam Summary
Shell Long Seam
Angles
Component Seam 1
Transition #1 0°
Cylinder #1 30°
Cylinder #2 0°
Transition #2 30°
Shell Plate Lengths
ComponentStartingAngle
Plate 1
Transition #1 0° 232,6742"
Cylinder #1 30° 232,6742"
Cylinder #2 0° 232,6742"
Transition #2 30° 232,8706"
Notes
1) Plate Lengths use the circumference of the vessel based on the mid diameter of the components.
2) North is located at 0°
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Shell Rollout
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Hydrostatic Test
Horizontal shop hydrostatic test based on MAWP per UG-99(b)
Gauge pressure at 70°F=1,3*MAWP*LSR
= 1,3*0*1= 0 psi
Horizontal shop hydrostatic test
IdentifierLocal testpressure
(psi)
Test liquidstatic head
(psi)
UG-99(b)stress
ratio
UG-99(b)pressure
factor
Transition #1 (1) 2,673 2,671 1 1,30
Cylinder #1 2,673 2,671 1 1,30
Cylinder #2 2,673 2,671 1 1,30
Transition #2 2,673 2,671 1 1,30
(1) Transition #1 limits the UG-99(b) stress ratio.
(2) The zero degree angular position is assumed to be up,and the test liquid height is assumed to the top-most flange.
The field test condition has not been investigated.
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Vacuum Summary
Largest Unsupported Length Le
Component Line of Support
Elevation
above Datum
(in)
Length Le
(in)
Transition #1 Top - 116 2,9344
- Transition #1 Top 116 2,9344
- Transition #1 Bottom 106 2,9344
Transition #1 Bottom - 106 2,9344
Cylinder #1 Top - 106 96
Cylinder #1 Bottom - 58 96
Cylinder #2 Top - 58 96
Cylinder #2 Bottom - 10 96
Transition #2 Top - 10 2,9315
- Transition #2 Top 10 2,9315
- Transition #2 Bottom 0 2,9315
Transition #2 Bottom - 0 2,9315
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Liquid Level bounded by Bottom of vessel
ASME Section VIII Division 1, 2013 Edition
Location from Datum (in) 116
Operating Liquid Specific Gravity 1
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Transition #1
ASME Section VIII Division 1, 2013 Edition
Component Cone
Material SA-240 304L (II-D p. 86, ln. 43)
ImpactTested
NormalizedFine GrainPractice
PWHTOptimize MDMT/
Find MAWP
No No No No No
DesignPressure (psi)
DesignTemperature (°F)
DesignMDMT (°F)
Internal 0 200-20
External 0 200
Static Liquid Head
Condition Ps (psi) Hs (in) SG
OperatingLarge 0,36 10
1
Small 0 0
Test horizontalLarge 2,67 74
1
Small 1,39 38,5
Dimensions
Inner DiameterLarge 74"
Small 3"
Length 10"
Nominal Thickness 0,0625"
CorrosionInner 0"
Outer 0"
KnuckleThickness tkl 0,0625"
Radius r1 4,4475"
Weight and Capacity
Weight (lb) Capacity (US gal)
New 88,95 107,28
Corroded 88,95 107,28
Radiography
Longitudinal seam None UW-11(c) Type 1
Top Circumferential seam None UW-11(c) Type 1
Bottom Circumferential seam None UW-11(c) Type 1
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Results Summary
Governing condition UG-16
Minimum thickness per UG-16 0,0625" + 0" = 0,0625"
Design thickness due to internal pressure (t) 0,0071"
Design thickness due to external pressure (te) 0,0065"
Design thickness due to combined loadings + corrosion 0,0039"
Maximum allowable working pressure (MAWP) 2,83 psi
Maximum allowable pressure (MAP) 3,19 psi
Maximum allowable external pressure (MAEP) 0 psi
Rated MDMT -320 °F
UHA-51 Material Toughness Requirements
tr = 0,36*74 / (2*0,1739*(16 700*0,7 - 0.6*0,36)) = 0,0066"
Stress ratio = tr*E* / (tn - c) = 0,0066*0,8 / (0,0625 - 0) = 0,0843
Impact test exempt per UHA-51(g) (coincident ratio = 0,0843)
Rated MDMT = -320°F
Material is exempt from impact testing at the Design MDMT of -20°F.
Design thickness, (at 200 °F) UG-32(h) (Large End)
Di = D - 2*r*(1 - cos(α))= 74 - 2*4,4475*(1 - cos(79,9852))= 66,6519"
t = P*Di / (2*cos(α)*(S*E - 0,60*P)) + Corrosion= 0,2*66,6519 / (2*cos(79,9852)*(16 700*0,70 - 0,60*0,2)) + 0= 0,0033"
Design thickness, (at 200 °F) Appendix 1-4(d) (Knuckle)
L = Di / (2*cos(α))
= 66,6519 / (2*cos(79,9852))= 191,635"
M = 0,25*(3 + Sqr(L / r))
= 0,25*(3 + Sqr(191,635 / 4,4475))= 2,391
tk = P*L*M / (2*S*E - 0,20*P) + Corrosion= 0,36*191,635*2,391 / (2*16 700*0,70 - 0,20*0,36) + 0
= 0,0071"Small End design thickness (t = 0") does not govern.
Maximum allowable working pressure, (Corroded at 200 °F) UG-32(h)
P = 2*S*E*t*cos(α) / (Di + 1,20*t*cos(α)) - Pskl
=2*16 700*0,70*0,0625*cos(79,9852) / (66,6519 + 1,20*0,0625*cos(79,9852))
- 0,2
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= 3,61 psi
Maximum allowable working pressure, (Corroded at 200 °F) App 1-4(d) (Knuckle)
P = 2*S*E*tk / (L*M + 0,20*tk) - Ps
=2*16 700*0,70*0,0625 / (191,635*2,391 + 0,20*0,0625) -0,36
= 2,83 psi
Small End MAWP (84,34 psi) does not govern.
Maximum allowable pressure, (New at 70 °F) UG-32(h)
P = 2*S*E*t*cos(α) / (Di + 1,20*t*cos(α))
=2*16 700*0,70*0,0625*cos(79,9852) / (66,6519 +1,20*0,0625*cos(79,9852))
= 3,81 psi
Maximum allowable pressure, (New at 70 °F) App 1-4(d) (Knuckle)
P = 2*S*E*tk / (L*M + 0,20*tk)
=
2*16 700*0,70*0,0625 /
(191,635*2,391 + 0,20*0,0625)= 3,19 psi
Small End MAP (84,34 psi) does not govern.
External Pressure, (Corroded & at 200 °F) UG-33(f)(2)
C = 0,13
t = Do*Sqr(C*Pe / Se) + Corrosion= 74,125*Sqr(0,13*0 / 16700) + 0
= 0,0065"
% Forming strain - UHA-44(a)(2)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*0,3594 / 1,6797)*(1 - 1,6797 / infinity)
= 10,6982%
External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)
Pv = [(1 + 0,14*SDS)*W / (2*π*Rm) + M / (π*Rm2)] / cos(α)
= [1,01*88,9 / (2*π*37,0313) + 39 / (π*37,03132)] / cos(79,9852) = 2,2828 lb/in
α = Pv / (Pe*Do) = 2,2828 / (0*74,125)
= 30,7963n = 30
m = 1,23 / (L / Do)2
= 1,23 / (2,9344 / 74,125)2
= 784,8765
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (302 - 1 + 784,8765 + 784,8765*30,7963) / (302 - 1 + 784,8765)
= 15,3545
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Ratio Pe * Pe ≤ MAEP
(15,3545 * 0 = 0,02) ≤ 0,09
Transition design thickness is satisfactory.
Thickness Required Due to Pressure + External Loads
ConditionPressure P (
psi)
AllowableStress Before
UG-23 StressIncrease (
psi)
Temperature (°F)
Corrosion C(in)
Location LoadReq'd Thk Due to
Tension (in)
Req'd Thk Due
toCompression
(in)
St Sc
Operating, Hot & Corroded 0 16 700 504 200 0Top Seismic 0 0
Bottom Seismic 0,0019 0,0036
Operating, Hot & New 0 16 700 504 200 0Top Seismic 0 0
Bottom Seismic 0,0019 0,0036
Hot Shut Down, Corroded 0 16 700 504 200 0Top Seismic 0 0
Bottom Seismic 0,002 0,0038
Hot Shut Down, New 0 16 700 504 200 0Top Seismic 0 0
Bottom Seismic 0,002 0,0038
Empty, Corroded 0 16 700 525 70 0Top Seismic 0 0
Bottom Seismic 0,002 0,0036
Empty, New 0 16 700 525 70 0Top Seismic 0 0
Bottom Seismic 0,002 0,0036
Vacuum 0 16 700 504 200 0Top Seismic 0 0
Bottom Seismic 0,0022 0,0039
Hot Shut Down, Corroded,
Weight & Eccentric MomentsOnly
0 16 700 504 200 0
Top Weight 0 0
Bottom Weight 0 0
Allowable Compressive Stress, Hot and Corroded- ScHC, (table HA-3)A = 0,125 / (Ro / te)
= 0,125 / (37,0625 / 0,0109)= 0,000037B = 504 psi
S = 16 700 / 1,00 = 16 700 psiScHC = min(B, S) = 504 psi
Allowable Compressive Stress, Hot and New- ScHN
ScHN = ScHC
= 504,2549 psi
Allowable Compressive Stress, Cold and New- ScCN, (table HA-3)
A = 0,125 / (Ro / te)= 0,125 / (37,0625 / 0,0109)
= 0,000037
B = 525 psiS = 16 700 / 1,00 = 16 700 psiScCN = min(B, S) = 525 psiAllowable Compressive Stress, Cold and Corroded- ScCC
ScCC = ScCN
= 524,7357 psi
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Allowable Compressive Stress, Vacuum and Corroded- ScVC, (tableHA-3)
A = 0,125 / (Ro / te)= 0,125 / (37,0625 / 0,0109)= 0,000037
B = 504 psiS = 16 700 / 1,00 = 16 700 psi
ScVC = min(B, S) = 504 psi
Operating, Hot & Corroded, Seismic, Top Seam
tp = P*R / [(2*St*Ks*Ec + 0,40*|P|)*cos(α)] (Pressure)
= 0*1,5 / [(2*16 700*1,00*0,70 + 0,40*|0|)*cos(79,9852)]= 0"
tm = M / [(π*Rm2*St*Ks*Ec)*cos(α)] (bending)
= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]
= 0"tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 0 / [(2*π*1,6797*16 700*1,00*0,70)*cos(79,9852)]= 0"
tt = tp + tm - tw
(total
required,
tensile)= 0 + 0 - (0)= 0"
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (0) - (0)|
= 0"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,00*0,70*(0,0625 - 0 + (0)) / ((1,5 - 0,40*(0,0625 - 0 + (0)))*cos(79,9852))= 5 696,72 psi
Operating, Hot & New, Seismic, Top Seam
tp = P*R / [(2*St*Ks*Ec + 0,40*|P|)*cos(α)] (Pressure)
= 0*1,5 / [(2*16 700*1,00*0,70 + 0,40*|0|)*cos(79,9852)]= 0"
tm = M / [(π*Rm2*St*Ks*Ec)*cos(α)] (bending)
= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]= 0"
tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 0 / [(2*π*1,6797*16 700*1,00*0,70)*cos(79,9852)]
= 0"
tt = tp + tm - tw(totalrequired,
tensile)= 0 + 0 - (0)
= 0"
tc = |tmc + twc - tpc|(total, net
tensile)= |0 + (0) - (0)|= 0"
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Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,00*0,70*(0,0625 - 0 + (0)) / ((1,5 - 0,40*(0,0625 - 0 + (0)))*cos(79,9852))= 5 696,72 psi
Hot Shut Down, Corroded, Seismic, Top Seam
tp = 0" (Pressure)
tm = M / [(π*Rm2
*St*Ks*Ec)*cos(α)] (bending)= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]= 0"
tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 0 / [(2*π*1,6797*16 700*1,00*0,70)*cos(79,9852)]
= 0"
tt = tp + tm - tw(total required,
tensile)= 0 + 0 - (0)
= 0"
tc = tmc + twc - tpc
(total required,compressive)
= 0 + (0) - (0)
= 0"
Hot Shut Down, New, Seismic, Top Seam
tp = 0" (Pressure)tm = M / [(π*Rm
2*St*Ks*Ec)*cos(α)] (bending)
= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]= 0"
tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 0 / [(2*π*1,6797*16 700*1,00*0,70)*cos(79,9852)]
= 0"
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)= 0"
tc = tmc + twc - tpc
(total required,compressive)
= 0 + (0) - (0)= 0"
Empty, Corroded, Seismic, Top Seam
tp = 0" (Pressure)tm = M / [(π*Rm
2*St*Ks*Ec)*cos(α)] (bending)
= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]
= 0"tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 0 / [(2*π*1,6797*16 700*1,00*0,70)*cos(79,9852)]= 0"
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)= 0"
tc = tmc + twc - tpc
(total required,
compressive)
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= 0 + (0) - (0)= 0"
Empty, New, Seismic, Top Seam
tp = 0" (Pressure)tm = M / [(π*Rm
2*St*Ks*Ec)*cos(α)] (bending)
= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]= 0"
tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 0 / [(2*π*1,6797*16 700*1,00*0,70)*cos(79,9852)]= 0"
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)= 0"
tc = tmc + twc - tpc
(total required,compressive)
= 0 + (0) - (0)= 0"
Vacuum, Seismic, Top Seam
tp = P*R / [(2*St*Ks*Ec + 0,40*|P|)*cos(α)] (Pressure)= 0*1,5 / [(2*16 700*1,00*0,70 + 0,40*|0|)*cos(79,9852)]
= 0"tm = M / [(π*Rm
2*St*Ks*Ec)*cos(α)] (bending)= 0 / [(π*1,67972*16 700*1,00*0,70)*cos(79,9852)]
= 0"tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 0 / [(2*π*1,6797*16 700*1,00*0,70)*cos(79,9852)]= 0"
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (0)
= 0"tpc = P*R / [(2*Sc*Ks + 0,40*|P|)*cos(α)] (Pressure)
= 0*1,5 / [(2*504,25*1,00 + 0,40*|0|)*cos(79,9852)]= 0"
tc = tmc + twc - tpc
(total required,compressive)
= 0 + (0) - (0)
= 0"
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / ((R - 0,40*(t - tmc - twc))*cos(α))
= 2*504,25*1,00*(0,0625 - 0 - 0) / ((1,5 - 0,40*(0,0625 - 0 - 0))*cos(79,9852))= 245,73 psi
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R / [(2*Sc*Ks + 0,40*|P|)*cos(α)] (Pressure)
= 0*37 / [(2*504,25*1,20 + 0,40*|0|)*cos(79,9852)]= 0,0002"
tm = M / [(π*Rm2*Sc*Ks)*cos(α)] (bending)
= 39 / [(π*37,03132*504,25*1,20)*cos(79,9852)]
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= 0,0001"tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
=0,59*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]
= 0,0021"
tt = |tp + tm - tw| (total, net compressive)= |0,0002 + 0,0001 - (0,0021)|
= 0,0019"twc = (1 + 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
= 1,01*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]
= 0,0037"
tc = tmc + twc - tpc
(total required,compressive)
= 0,0001 + (0,0037) - (0,0002)= 0,0036"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,20*0,70*(0,0625 - 0 + (0,0001)) / ((37 - 0,40*(0,0625 - 0 + (0,0001)))*cos(79,9852))
= 273,09 psi
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R / [(2*Sc*Ks + 0,40*|P|)*cos(α)] (Pressure)= 0*37 / [(2*504,25*1,20 + 0,40*|0|)*cos(79,9852)]= 0,0002"
tm = M / [(π*Rm2*Sc*Ks)*cos(α)] (bending)
= 39 / [(π*37,03132*504,25*1,20)*cos(79,9852)]
= 0,0001"tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
=0,59*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]
= 0,0021"
tt = |tp + tm - tw| (total, net compressive)= |0,0002 + 0,0001 - (0,0021)|
= 0,0019"twc = (1 + 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
=1,01*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]
= 0,0037"
tc = tmc + twc - tpc
(total required,compressive)
= 0,0001 + (0,0037) - (0,0002)= 0,0036"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,20*0,70*(0,0625 - 0 + (0,0001)) / ((37 - 0,40*(0,0625 - 0 + (0,0001)))*cos(79,9852))
= 273,09 psi
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / [(π*Rm2*Sc*Ks)*cos(α)] (bending)
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= 39 / [(π*37,03132*504,25*1,20)*cos(79,9852)]= 0,0001"
tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
=0,59*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]
= 0,0021"tt = |tp + tm - tw| (total, net compressive)
= |0 + 0,0001 - (0,0021)|= 0,002"
twc = (1 + 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)=
1,01*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]
= 0,0037"
tc = tmc + twc - tpc
(total required,
compressive)= 0,0001 + (0,0037) - (0)
= 0,0038"
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / [(π*Rm2*Sc*Ks)*cos(α)] (bending)
= 39 / [(π*37,03132*504,25*1,20)*cos(79,9852)]= 0,0001"
tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
=0,59*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]
= 0,0021"
tt = |tp + tm - tw| (total, net compressive)= |0 + 0,0001 - (0,0021)|
= 0,002"twc = (1 + 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
=1,01*88,9 / [(2*π*37,0313*504,25*1,20)*cos(79,9852)]
= 0,0037"
tc = tmc + twc - tpc
(total required,compressive)
= 0,0001 + (0,0037) - (0)= 0,0038"
Empty, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / [(π*Rm
2*Sc*Ks)*cos(α)] (bending)
= 7 / [(π*37,03132*524,74*1,20)*cos(79,9852)]= 0"
tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
= 0,59*88,9 / [(2*π*37,0313*524,74*1,20)*cos(79,9852)]
= 0,002"tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0,002)|= 0,002"
twc = (1 + 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
=1,01*88,9 / [(2*π*37,0313*524,74*1,20)*cos(79,9852)]
= 0,0035"
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tc = tmc + twc - tpc (total required,compressive)
= 0 + (0,0035) - (0)= 0,0036"
Empty, New, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / [(π*Rm
2*Sc*Ks)*cos(α)] (bending)
= 7 / [(π*37,03132
*524,74*1,20)*cos(79,9852)]= 0"
tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
=0,59*88,9 / [(2*π*37,0313*524,74*1,20)*cos(79,9852)]
= 0,002"tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0,002)|= 0,002"
twc = (1 + 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
=1,01*88,9 / [(2*π*37,0313*524,74*1,20)*cos(79,9852)]
= 0,0035"
tc = tmc + twc - tpc(total required,compressive)
= 0 + (0,0035) - (0)
= 0,0036"
Vacuum, Seismic, Bottom Seam
tp = P*R / [(2*Sc*Ks + 0,40*|P|)*cos(α)] (Pressure)
= 0*37 / [(2*504,25*1,20 + 0,40*|0|)*cos(79,9852)]= -0,0002"
tm = M / [(π*Rm2*Sc*Ks)*cos(α)] (bending)
= 39 / [(π*37,03132*504,25*1,20)*cos(79,9852)]= 0,0001"
tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
=0,59*88,9 /
[(2*π*37,0313*504,25*1,20)*cos(79,9852)]= 0,0021"
tt = |tp + tm - tw| (total, net compressive)= |-0,0002 + 0,0001 - (0,0021)|= 0,0022"
twc = (1 + 0,14*SDS)*W / [(2*π*Rm*Sc*Ks)*cos(α)] (Weight)
=1,01*88,9 /
[(2*π*37,0313*504,25*1,20)*cos(79,9852)]= 0,0037"
tc = tmc + twc - tpc
(total required,
compressive)= 0,0001 + (0,0037) - (-0,0002)
= 0,0039"
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / ((R - 0,40*(t - tmc - twc))*cos(α))= 2*504,25*1,20*(0,0625 - 0,0001 - 0,0037) / ((37 - 0,40*(0,0625 - 0,0001 - 0,0037))*cos(79,9852))= 11,05 psi
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Appendix 1-5 calculations are not required for the transition large end as a knuckle is present.
Appendix 1-8(b)(2) reinforcement calculations are not required for the transition large end as a knuckle is present.
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Cylinder #1
ASME Section VIII Division 1, 2013 Edition
Component Cylinder
Material SA-240 304L (II-D p. 86, ln. 43)
ImpactTested
NormalizedFine GrainPractice
PWHTOptimize MDMT/
Find MAWP
No No No No No
DesignPressure (psi)
DesignTemperature (°F)
DesignMDMT (°F)
Internal 0 200-20
External 0 200
Static Liquid Head
Condition Ps (psi) Hs (in) SG
Operating 2,09 58 1
Test horizontal 2,67 74 1
Dimensions
Inner Diameter 74"
Length 48"
Nominal Thickness 0,0625"
CorrosionInner 0"
Outer 0"
Weight and Capacity
Weight (lb) Capacity (US gal)
New 202,43 893,68
Corroded 202,43 893,68
Radiography
Longitudinal seam None UW-11(c) Type 1
Top Circumferential
seamNone UW-11(c) Type 1
Bottom Circumferential
seam None UW-11(c) Type 1
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Results Summary
Governing condition UG-16
Minimum thickness per UG-16 0,0625" + 0" = 0,0625"
Design thickness due to internal pressure (t) 0,0067"
Design thickness due to external pressure (te) 0,006"
Design thickness due to combined loadings + corrosion 0,0005"
Maximum allowable working pressure (MAWP) 17,63 psi
Maximum allowable pressure (MAP) 19,73 psi
Maximum allowable external pressure (MAEP) 0,38 psi
Rated MDMT -320 °F
UHA-51 Material Toughness Requirements
tr = 2,09*37 / (16 700*0,7 - 0.6*2,09) = 0,0066"
Stress ratio = tr*E* / (tn - c) = 0,0066*0,8 / (0,0625 - 0) = 0,0849
Impact test exempt per UHA-51(g) (coincident ratio = 0,0849)
Rated MDMT = -320°F
Material is exempt from impact testing at the Design MDMT of -20°F.
Design thickness, (at 200 °F) UG-27(c)(1)
t = P*R / (S*E - 0,60*P) + Corrosion= 2,09*37 / (16 700*0,70 - 0,60*2,09) + 0= 0,0067"
Maximum allowable working pressure, (at 200 °F) UG-27(c)(1)
P = S*E*t / (R + 0,60*t) - Ps
= 16 700*0,70*0,0625 / (37 + 0,60*0,0625) - 2,09= 17,63 psi
Maximum allowable pressure, (at 70 °F) UG-27(c)(1)
P = S*E*t / (R + 0,60*t)= 16 700*0,70*0,0625 / (37 + 0,60*0,0625)
= 19,73 psi
External Pressure, (Corroded & at 200 °F) UG-28(c)
L / Do = 96 / 74,125 = 1,2951
Do / t = 74,125 / 0,006 = 12397,2732Experimental basin formula
Pa = [2,42*E / (1 - µ2)0,75]*[(t / Do)2,50 / (L / Do - 0,45*(t / Do)
0,50)] / 3
= [2,42*27300000 / (1 - 0,302)0,75]*[(0,006 / 74,125)2,50 / (96 / 74,125 - 0,45*(0,006 / 74,125)0,50)] / 3= 0 psi
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Design thickness for external pressure Pa = 0 psi
ta = t + Corrosion = 0,006 + 0 = 0,006"Maximum Allowable External Pressure, (Corroded & at 200 °F) UG-28(c)
L / Do = 96 / 74,125 = 1,2951Do / t = 74,125 / 0,0625 = 1186,0000
Experimental basin formula
Pa = [2,42*E / (1 - µ2
)0,75
]*[(t / Do)2,50
/ (L / Do - 0,45*(t / Do)0,50
)] / 3= [2,42*27300000 / (1 - 0,302)0,75]*[(0,0625 / 74,125)2,50 / (96 / 74,125 - 0,45*(0,0625 / 74,125)0,50)] / 3= 0,38 psi
% Forming strain - UHA-44(a)(2)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*0,0625 / 37,0313)*(1 - 37,0313 / infinity)
= 0,0844%
External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)
Pv = (1 + 0,14*SDS)*W / (2*π*Rm) + M / (π*Rm2)
= 1,01*291,4 / (2*π*37,0313) + 2 432 / (π*37,03132) = 1,8351 lb/in
α = Pv / (Pe*Do) = 1,8351 / (0*74,125)
= 24,7563n = 8
m = 1,23 / (L / Do)2
= 1,23 / (96 / 74,125)2
= 0,7333
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
= (82 - 1 + 0,7333 + 0,7333*24,7563) / (82 - 1 + 0,7333) = 1,2848
Ratio Pe * Pe ≤ MAEP
(1,2848 * 0 = 0) ≤ 0,38
Cylinder design thickness is satisfactory.
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Thickness Required Due to Pressure + External Loads
ConditionPressure P (
psi)
AllowableStress Before
UG-23 StressIncrease ( psi)
Temperature (°F)
Corrosion C(in)
LoadReq'd Thk Due to
Tension (in)
Req'd Thk Due
toCompression
(in)
St Sc
Operating, Hot & Corroded 0 16 700 2 889 200 0 Seismic 0 0,0005
Operating, Hot & New 0 16 700 2 889 200 0 Seismic 0 0,0005
Hot Shut Down, Corroded 0 16 700 2 889 200 0 Seismic 0 0,0005
Hot Shut Down, New 0 16 700 2 889 200 0 Seismic 0 0,0005
Empty, Corroded 0 16 700 2 989 70 0 Seismic 0,0002 0,0004
Empty, New 0 16 700 2 989 70 0 Seismic 0,0002 0,0004
Vacuum 0 16 700 2 889 200 0 Seismic 0,0001 0,0005
Hot Shut Down, Corroded, Weight &
Eccentric Moments Only0 16 700 2 889 200 0 Weight 0,0004 0,0004
Allowable Compressive Stress, Hot and Corroded- ScHC, (table HA-3)
A = 0,125 / (Ro / t)
= 0,125 / (37,0625 / 0,0625)
= 0,000211B = 2 889 psi
S = 16 700 / 1,00 = 16 700 psi
ScHC = min(B, S) = 2 889 psi
Allowable Compressive Stress, Hot and New- ScHN
ScHN = ScHC
= 2 889 psi
Allowable Compressive Stress, Cold and New- ScCN, (table HA-3)
A = 0,125 / (Ro / t)= 0,125 / (37,0625 / 0,0625)
= 0,000211
B = 2 989 psi
S = 16 700 / 1,00 = 16 700 psi
ScCN = min(B, S) = 2 989 psi
Allowable Compressive Stress, Cold and Corroded- ScCC
ScCC = ScCN
= 2 989 psi
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (tableHA-3)
A = 0,125 / (Ro / t)
= 0,125 / (37,0625 / 0,0625)
= 0,000211
B = 2 889 psi
S = 16 700 / 1,00 = 16 700 psi
ScVC = min(B, S) = 2 889 psi
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Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R / (2*Sc*Ks + 0,40*|P|) (Pressure)
= 0*37 / (2*2 888,78*1,20 + 0,40*|0|)
= 0"
tm = M / (π*Rm2*Sc*Ks) (bending)
= 2 432 / (π*37,03132*2 888,78*1,20)
= 0,0002"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 0,59*291,4 / (2*π*37,0313*2 888,78*1,20)
= 0,0002"
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0,0002 - (0,0002)|
= 0"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*291,4 / (2*π*37,0313*2 888,78*1,20)
= 0,0004"
tc
= tmc
+ twc
- tpc
(total required, compressive)
= 0,0002 + (0,0004) - (0)
= 0,0005"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0,40*(t - tm + tw))
= 2*16 700*1,20*0,70*(0,0625 - 0 + (0,0001)) / (37 - 0,40*(0,0625 - 0 + (0,0001)))
= 47,43 psi
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R / (2*Sc*Ks + 0,40*|P|) (Pressure)= 0*37 / (2*2 888,78*1,20 + 0,40*|0|)
= 0"
tm = M / (π*Rm2*Sc*Ks) (bending)
= 2 432 / (π*37,03132*2 888,78*1,20)
= 0,0002"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 0,59*291,4 / (2*π*37,0313*2 888,78*1,20)
= 0,0002"
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0,0002 - (0,0002)|
= 0"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*291,4 / (2*π*37,0313*2 888,78*1,20)
= 0,0004"
tc = tmc + twc - tpc (total required, compressive)
= 0,0002 + (0,0004) - (0)
= 0,0005"
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Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0,40*(t - tm + tw))
= 2*16 700*1,20*0,70*(0,0625 - 0 + (0,0001)) / (37 - 0,40*(0,0625 - 0 + (0,0001)))
= 47,43 psi
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / (π*Rm
2*Sc*Ks) (bending)
= 2 432 / (π*37,03132*2 888,78*1,20)
= 0,0002"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 0,59*291,4 / (2*π*37,0313*2 888,78*1,20)
= 0,0002"
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0,0002 - (0,0002)|
= 0"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)= 1,01*291,4 / (2*π*37,0313*2 888,78*1,20)
= 0,0004"
tc = tmc + twc - tpc (total required, compressive)
= 0,0002 + (0,0004) - (0)
= 0,0005"
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / (π*Rm2*Sc*Ks) (bending)
= 2 432 / (π*37,03132*2 888,78*1,20)= 0,0002"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 0,59*291,4 / (2*π*37,0313*2 888,78*1,20)
= 0,0002"
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0,0002 - (0,0002)|
= 0"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*291,4 / (2*π*37,0313*2 888,78*1,20)
= 0,0004"
tc = tmc + twc - tpc (total required, compressive)
= 0,0002 + (0,0004) - (0)
= 0,0005"
Empty, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / (π*Rm2*Sc*Ks) (bending)
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= 123 / (π*37,03132*2 989,49*1,20)
= 0"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 0,59*291,4 / (2*π*37,0313*2 989,49*1,20)
= 0,0002"
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0,0002)|
= 0,0002"twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*291,4 / (2*π*37,0313*2 989,49*1,20)
= 0,0004"
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0,0004) - (0)
= 0,0004"
Empty, New, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / (π*Rm2*Sc*Ks) (bending)
= 123 / (π*37,03132*2 989,49*1,20)
= 0"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 0,59*291,4 / (2*π*37,0313*2 989,49*1,20)
= 0,0002"
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0,0002)|
= 0,0002"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*291,4 / (2*π*37,0313*2 989,49*1,20)
= 0,0004"
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0,0004) - (0)
= 0,0004"
Vacuum, Seismic, Bottom Seam
tp = P*R / (2*Sc*Ks + 0,40*|P|) (Pressure)
= 0*37 / (2*2 888,78*1,20 + 0,40*|0|)
= 0"
tm = M / (π*Rm2*Sc*Ks) (bending)
= 2 432 / (π*37,03132*2 888,78*1,20)
= 0,0002"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 0,59*291,4 / (2*π*37,0313*2 888,78*1,20)
= 0,0002"
tt = |tp + tm - tw| (total, net compressive)
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= |0 + 0,0002 - (0,0002)|
= 0,0001"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*291,4 / (2*π*37,0313*2 888,78*1,20)
= 0,0004"
tc = tmc + twc - tpc (total required, compressive)
= 0,0002 + (0,0004) - (0)
= 0,0005"
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0,40*(t - tmc - twc))
= 2*2 888,78*1,20*(0,0625 - 0,0002 - 0,0004) / (37 - 0,40*(0,0625 - 0,0002 - 0,0004))
= 11,62 psi
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Bottom Seam
tp = 0" (Pressure)
tm = M / (π*Rm2*Sc*Ks) (bending)
= 0 / (π*37,03132*2 888,78*1,00)
= 0"
tw = W / (2*π*Rm*Sc*Ks) (Weight)
= 291,4 / (2*π*37,0313*2 888,78*1,00)
= 0,0004"
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0,0004)|
= 0,0004"
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0,0004) - (0)
= 0,0004"
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Cylinder #2
ASME Section VIII Division 1, 2013 Edition
Component Cylinder
Material SA-240 304L (II-D p. 86, ln. 43)
ImpactTested
NormalizedFine GrainPractice
PWHTOptimize MDMT/
Find MAWP
No No No No No
DesignPressure (psi)
DesignTemperature (°F)
DesignMDMT (°F)
Internal 0 200-20
External 0 200
Static Liquid Head
Condition Ps (psi) Hs (in) SG
Operating 3,83 106 1
Test horizontal 2,67 74 1
Dimensions
Inner Diameter 74"
Length 48"
Nominal Thickness 0,0625"
CorrosionInner 0"
Outer 0"
Weight and Capacity
Weight (lb) Capacity (US gal)
New 202,43 893,68
Corroded 202,43 893,68
Radiography
Longitudinal seam None UW-11(c) Type 1
Top Circumferential
seamNone UW-11(c) Type 1
Bottom Circumferential
seam None UW-11(c) Type 1
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Results Summary
Governing condition UG-16
Minimum thickness per UG-16 0,0625" + 0" = 0,0625"
Design thickness due to internal pressure (t) 0,0122"
Design thickness due to external pressure (te) 0,006"
Design thickness due to combined loadings + corrosion 0,0042"
Maximum allowable working pressure (MAWP) 15,9 psi
Maximum allowable pressure (MAP) 19,73 psi
Maximum allowable external pressure (MAEP) 0,38 psi
Rated MDMT -320 °F
UHA-51 Material Toughness Requirements
tr = 3,83*37 / (16 700*0,7 - 0.6*3,83) = 0,0121"
Stress ratio = tr*E* / (tn - c) = 0,0121*0,8 / (0,0625 - 0) = 0,1551
Impact test exempt per UHA-51(g) (coincident ratio = 0,1551)
Rated MDMT = -320°F
Material is exempt from impact testing at the Design MDMT of -20°F.
Design thickness, (at 200 °F) UG-27(c)(1)
t = P*R / (S*E - 0,60*P) + Corrosion= 3,83*37 / (16 700*0,70 - 0,60*3,83) + 0= 0,0122"
Maximum allowable working pressure, (at 200 °F) UG-27(c)(1)
P = S*E*t / (R + 0,60*t) - Ps
= 16 700*0,70*0,0625 / (37 + 0,60*0,0625) - 3,83= 15,9 psi
Maximum allowable pressure, (at 70 °F) UG-27(c)(1)
P = S*E*t / (R + 0,60*t)= 16 700*0,70*0,0625 / (37 + 0,60*0,0625)
= 19,73 psi
External Pressure, (Corroded & at 200 °F) UG-28(c)
L / Do = 96 / 74,125 = 1,2951
Do / t = 74,125 / 0,006 = 12397,2732Experimental basin formula
Pa = [2,42*E / (1 - µ2)0,75]*[(t / Do)2,50 / (L / Do - 0,45*(t / Do)
0,50)] / 3
= [2,42*27300000 / (1 - 0,302)0,75]*[(0,006 / 74,125)2,50 / (96 / 74,125 - 0,45*(0,006 / 74,125)0,50)] / 3= 0 psi
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Design thickness for external pressure Pa = 0 psi
ta = t + Corrosion = 0,006 + 0 = 0,006"Maximum Allowable External Pressure, (Corroded & at 200 °F) UG-28(c)
L / Do = 96 / 74,125 = 1,2951Do / t = 74,125 / 0,0625 = 1186,0000
Experimental basin formula
Pa = [2,42*E / (1 - µ2
)0,75
]*[(t / Do)2,50
/ (L / Do - 0,45*(t / Do)0,50
)] / 3= [2,42*27300000 / (1 - 0,302)0,75]*[(0,0625 / 74,125)2,50 / (96 / 74,125 - 0,45*(0,0625 / 74,125)0,50)] / 3= 0,38 psi
% Forming strain - UHA-44(a)(2)
EFE = (50*t / Rf)*(1 - Rf / Ro)
= (50*0,0625 / 37,0313)*(1 - 37,0313 / infinity)
= 0,0844%
External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)
Pv = (1 + 0,14*SDS)*W / (2*π*Rm) + M / (π*Rm2)
= 1,01*489,6 / (2*π*37,0313) + 7 280 / (π*37,03132) = 3,8246 lb/in
α = Pv / (Pe*Do) = 3,8246 / (0*74,125)
= 51,5964n = 8
m = 1,23 / (L / Do)2
= 1,23 / (96 / 74,125)2
= 0,7333
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m)
= (82 - 1 + 0,7333 + 0,7333*51,5964) / (82 - 1 + 0,7333) = 1,5937
Ratio Pe * Pe ≤ MAEP
(1,5937 * 0 = 0) ≤ 0,38
Cylinder design thickness is satisfactory.
External Pressure + Weight + Seismic Loading Check at Bottom Seam(Bergman, ASME paper 54-A-104)
Pv = (0,6 - 0,14*SDS)*W / (2*π*Rm) + M / (π*Rm2)
= 0,59*-16 164,3 / (2*π*37,0313) + 15 / (π*37,03132) = -40,668 lb/in
α = Pv / (Pe*Do) = -40,668 / (0*74,125)
= -548,6414n = 8m = 1,23 / (L / Do)
2
= 1,23 / (96 / 74,125)2
= 0,7333
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (82 - 1 + 0,7333 + 0,7333*-548,6414) / (82 - 1 + 0,7333)
= 1
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Ratio Pe * Pe ≤ MAEP
(1 * 0 = 0) ≤ 0,38
Cylinder design thickness is satisfactory.
Thickness Required Due to Pressure + External Loads
ConditionPressure P (
psi)
Allowable
Stress BeforeUG-23 Stress
Increase (psi)
Temperature (
°F)
Corrosion C
(in)Location Load
Req'd Thk Due to
Tension (in)
Req'd Thk Due to
Compression (in)
St Sc
Operating, Hot & Corroded 0 16 700 2 889 200 0Top Seismic 0 0,0011
Bottom Seismic 0,0035 0,002
Operating, Hot & New 0 16 700 2 889 200 0Top Seismic 0 0,0011
Bottom Seismic 0,0035 0,002
Hot Shut Down, Corroded 0 16 700 2 889 200 0Top Seismic 0 0,0011
Bottom Seismic 0,0035 0,002
Hot Shut Down, New 0 16 700 2 889 200 0Top Seismic 0 0,0011
Bottom Seismic 0,0035 0,002
Empty, Corroded 0 16 700 2 989 70 0Top Seismic 0,0003 0,0006
Bottom Seismic 0 0
Empty, New 0 16 700 2 989 70 0Top Seismic 0,0003 0,0006
Bottom Seismic 0 0
Vacuum 0 16 700 2 889 200 0Top Seismic 0 0,0011
Bottom Seismic 0,0035 0,002
Hot Shut Down, Corroded,Weight & Eccentric Moments
Only0 16 700 2 889 200 0
Top Weight 0,0007 0,0007
Bottom Weight 0,0042 0,0042
Allowable Compressive Stress, Hot and Corroded- ScHC, (table HA-3)
A = 0,125 / (Ro / t)= 0,125 / (37,0625 / 0,0625)
= 0,000211
B = 2 889 psi
S = 16 700 / 1,00 = 16 700 psi
ScHC = min(B, S) = 2 889 psi
Allowable Compressive Stress, Hot and New- ScHN
ScHN = ScHC
= 2 889 psi
Allowable Compressive Stress, Cold and New- ScCN, (table HA-3)
A = 0,125 / (Ro / t)
= 0,125 / (37,0625 / 0,0625)
= 0,000211
B = 2 989 psi
S = 16 700 / 1,00 = 16 700 psi
ScCN = min(B, S) = 2 989 psi
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Allowable Compressive Stress, Cold and Corroded- ScCC
ScCC = ScCN
= 2 989 psi
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (tableHA-3)
A = 0,125 / (Ro / t)
= 0,125 / (37,0625 / 0,0625)
= 0,000211
B = 2 889 psi
S = 16 700 / 1,00 = 16 700 psi
ScVC = min(B, S) = 2 889 psi
Operating, Hot & Corroded, Seismic, Above Support Point
tp = P*R / (2*St*Ks*Ec + 0,40*|P|) (Pressure)
= 0*37 / (2*16 700*1,20*1,00 + 0,40*|0|)
= 0"tm = M / (π*Rm
2*St*Ks*Ec) (bending)
= 7 280 / (π*37,03132*16 700*1,20*1,00)
= 0,0001"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 0,59*489,6 / (2*π*37,0313*16 700*1,20*1,00)
= 0,0001"
tt = tp + tm - tw (total required, tensile)
= 0 + 0,0001 - (0,0001)
= 0"
tpc = P*R / (2*Sc*Ks + 0,40*|P|) (Pressure)= 0*37 / (2*2 888,78*1,20 + 0,40*|0|)
= 0"
tmc = M / (π*Rm2*Sc*Ks) (bending)
= 7 280 / (π*37,03132*2 888,78*1,20)
= 0,0005"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*489,6 / (2*π*37,0313*2 888,78*1,20)
= 0,0006"
tc = tmc + twc - tpc (total required, compressive)
= 0,0005 + (0,0006) - (0)= 0,0011"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0,40*(t - tm + tw))
= 2*16 700*1,20*1,00*(0,0625 - 0,0001 + (0,0001)) / (37 - 0,40*(0,0625 - 0,0001 + (0,0001)))
= 67,72 psi
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Operating, Hot & New, Seismic, Above Support Point
tp = P*R / (2*St*Ks*Ec + 0,40*|P|) (Pressure)
= 0*37 / (2*16 700*1,20*1,00 + 0,40*|0|)
= 0"
tm = M / (π*Rm2*St*Ks*Ec) (bending)
= 7 280 / (π*37,03132*16 700*1,20*1,00)
= 0,0001"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 0,59*489,6 / (2*π*37,0313*16 700*1,20*1,00)
= 0,0001"
tt = tp + tm - tw (total required, tensile)
= 0 + 0,0001 - (0,0001)
= 0"
tpc = P*R / (2*Sc*Ks + 0,40*|P|) (Pressure)
= 0*37 / (2*2 888,78*1,20 + 0,40*|0|)
= 0"
tmc
= M / (π*Rm
2*Sc*K
s) (bending)
= 7 280 / (π*37,03132*2 888,78*1,20)
= 0,0005"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*489,6 / (2*π*37,0313*2 888,78*1,20)
= 0,0006"
tc = tmc + twc - tpc (total required, compressive)
= 0,0005 + (0,0006) - (0)
= 0,0011"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0,40*(t - tm + tw))
= 2*16 700*1,20*1,00*(0,0625 - 0,0001 + (0,0001)) / (37 - 0,40*(0,0625 - 0,0001 + (0,0001)))
= 67,72 psi
Hot Shut Down, Corroded, Seismic, Above Support Point
tp = 0" (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) (bending)
= 7 280 / (π*37,03132*16 700*1,20*1,00)
= 0,0001"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 0,59*489,6 / (2*π*37,0313*16 700*1,20*1,00)
= 0,0001"
tt = tp + tm - tw (total required, tensile)
= 0 + 0,0001 - (0,0001)
= 0"
tmc = M / (π*Rm2*Sc*Ks) (bending)
= 7 280 / (π*37,03132*2 888,78*1,20)
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= 0,0005"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*489,6 / (2*π*37,0313*2 888,78*1,20)
= 0,0006"
tc = tmc + twc - tpc (total required, compressive)
= 0,0005 + (0,0006) - (0)
= 0,0011"
Hot Shut Down, New, Seismic, Above Support Point
tp = 0" (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) (bending)
= 7 280 / (π*37,03132*16 700*1,20*1,00)
= 0,0001"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 0,59*489,6 / (2*π*37,0313*16 700*1,20*1,00)
= 0,0001"
tt = tp + tm - tw (total required, tensile)
= 0 + 0,0001 - (0,0001)
= 0"
tmc = M / (π*Rm2*Sc*Ks) (bending)
= 7 280 / (π*37,03132*2 888,78*1,20)
= 0,0005"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*489,6 / (2*π*37,0313*2 888,78*1,20)
= 0,0006"
tc = tmc + twc - tpc (total required, compressive)
= 0,0005 + (0,0006) - (0)
= 0,0011"
Empty, Corroded, Seismic, Above Support Point
tp = 0" (Pressure)
tm = M / (π*Rm2*Sc*Ks) (bending)
= 315 / (π*37,03132*2 989,49*1,20)
= 0"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 0,59*489,6 / (2*π*37,0313*2 989,49*1,20)
= 0,0003"
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0,0003)|
= 0,0003"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*489,6 / (2*π*37,0313*2 989,49*1,20)
= 0,0006"
tc = tmc + twc - tpc (total required, compressive)
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= 0 + (0,0006) - (0)
= 0,0006"
Empty, New, Seismic, Above Support Point
tp = 0" (Pressure)
tm = M / (π*Rm2*Sc*Ks) (bending)
= 315 / (π*37,03132*2 989,49*1,20)
= 0"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 0,59*489,6 / (2*π*37,0313*2 989,49*1,20)
= 0,0003"
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0,0003)|
= 0,0003"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*489,6 / (2*π*37,0313*2 989,49*1,20)
= 0,0006"
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0,0006) - (0)
= 0,0006"
Vacuum, Seismic, Above Support Point
tp = P*R / (2*St*Ks*Ec + 0,40*|P|) (Pressure)
= 0*37 / (2*16 700*1,20*1,00 + 0,40*|0|)
= 0"
tm = M / (π*Rm2*St*Ks*Ec) (bending)
= 7 280 / (π*37,03132*16 700*1,20*1,00)
= 0,0001"
tw = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 0,59*489,6 / (2*π*37,0313*16 700*1,20*1,00)
= 0,0001"
tt = tp + tm - tw (total required, tensile)
= 0 + 0,0001 - (0,0001)
= 0"
tpc = P*R / (2*Sc*Ks + 0,40*|P|) (Pressure)
= 0*37 / (2*2 888,78*1,20 + 0,40*|0|)
= 0"
tmc = M / (π*Rm2*Sc*Ks) (bending)
= 7 280 / (π*37,03132*2 888,78*1,20)
= 0,0005"
twc = (1 + 0,14*SDS)*W / (2*π*Rm*Sc*Ks) (Weight)
= 1,01*489,6 / (2*π*37,0313*2 888,78*1,20)
= 0,0006"
tc = tmc + twc - tpc (total required, compressive)
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= 0,0005 + (0,0006) - (0)
= 0,0011"
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0,40*(t - tmc - twc))
= 2*2 888,78*1,20*(0,0625 - 0,0005 - 0,0006) / (37 - 0,40*(0,0625 - 0,0005 - 0,0006))
= 11,51 psi
Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Above Support Point
tp = 0" (Pressure)
tm = M / (π*Rm2*Sc*Ks) (bending)
= 0 / (π*37,03132*2 888,78*1,00)
= 0"
tw = W / (2*π*Rm*Sc*Ks) (Weight)
= 489,6 / (2*π*37,0313*2 888,78*1,00)
= 0,0007"
tt = |tp + tm - tw| (total, net compressive)
= |0 + 0 - (0,0007)|
= 0,0007"
tc = tmc + twc - tpc (total required, compressive)
= 0 + (0,0007) - (0)
= 0,0007"
Operating, Hot & Corroded, Seismic, Below Support Point
tp = P*R / (2*St*Ks*Ec + 0,40*|P|) (Pressure)
= 0*37 / (2*16 700*1,20*1,00 + 0,40*|0|)
= 0"
tm = M / (π*Rm2*St*Ks*Ec) (bending)
= 15 / (π*37,03132*16 700*1,20*1,00)
= 0"
tw = (1 + 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 1,01*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)
= -0,0035"
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (-0,0035)
= 0,0035"
twc = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 0,59*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)
= -0,002"
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (-0,002) - (0)|
= 0,002"
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Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0,40*(t - tm + tw))
= 2*16 700*1,20*1,00*(0,0625 - 0 + (-0,0035)) / (37 - 0,40*(0,0625 - 0 + (-0,0035)))
= 63,93 psi
Operating, Hot & New, Seismic, Below Support Point
tp = P*R / (2*St*Ks*Ec + 0,40*|P|) (Pressure)= 0*37 / (2*16 700*1,20*1,00 + 0,40*|0|)
= 0"
tm = M / (π*Rm2*St*Ks*Ec) (bending)
= 15 / (π*37,03132*16 700*1,20*1,00)
= 0"
tw = (1 + 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 1,01*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)
= -0,0035"
tt = tp + tm - tw(total required,
tensile)
= 0 + 0 - (-0,0035)
= 0,0035"
twc = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 0,59*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)
= -0,002"
tc = |tmc + twc - tpc|(total, net
tensile)
= |0 + (-0,002) - (0)|
= 0,002"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / (R - 0,40*(t - tm + tw))
= 2*16 700*1,20*1,00*(0,0625 - 0 + (-0,0035)) / (37 - 0,40*(0,0625 - 0 + (-0,0035)))
= 63,93 psi
Hot Shut Down, Corroded, Seismic, Below Support Point
tp = 0" (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) (bending)
= 15 / (π*37,03132*16 700*1,20*1,00)
= 0"tw = (1 + 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 1,01*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)
= -0,0035"
tt = tp + tm - tw(total required,
tensile)
= 0 + 0 - (-0,0035)
= 0,0035"
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twc = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 0,59*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)
= -0,002"
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (-0,002) - (0)|
= 0,002"
Hot Shut Down, New, Seismic, Below Support Point
tp = 0" (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) (bending)
= 15 / (π*37,03132*16 700*1,20*1,00)
= 0"
tw = (1 + 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 1,01*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)
= -0,0035"
tt
= tp
+ tm
- tw
(total required,
tensile)= 0 + 0 - (-0,0035)
= 0,0035"
twc = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 0,59*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)
= -0,002"
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (-0,002) - (0)|
= 0,002"
Empty, Corroded, Seismic, Below Support Point
tp = 0" (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) (bending)
= 4 / (π*37,03132*16 700*1,20*1,00)
= 0"
tw = (1 + 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 1,01*-181,9 / (2*π*37,0313*16 700*1,20*1,00)
= 0"
tt = tp + tm - tw (total required, tensile)
= 0 + 0 - (0)= 0"
twc = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 0,59*-181,9 / (2*π*37,0313*16 700*1,20*1,00)
= 0"
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (0) - (0)|
= 0"
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Empty, New, Seismic, Below Support Point
tp = 0" (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) (bending)
= 4 / (π*37,03132*16 700*1,20*1,00)
= 0"
tw = (1 + 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 1,01*-181,9 / (2*π*37,0313*16 700*1,20*1,00)
= 0"
tt = tp + tm - tw (total required, tensile)
= 0 + 0 - (0)
= 0"
twc = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 0,59*-181,9 / (2*π*37,0313*16 700*1,20*1,00)
= 0"
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (0) - (0)|
= 0"
Vacuum, Seismic, Below Support Point
tp = P*R / (2*St*Ks*Ec + 0,40*|P|) (Pressure)
= 0*37 / (2*16 700*1,20*1,00 + 0,40*|0|)
= 0"
tm = M / (π*Rm2*St*Ks*Ec) (bending)
= 15 / (π*37,03132*16 700*1,20*1,00)
= 0"
tw = (1 + 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 1,01*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)= -0,0035"
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (-0,0035)
= 0,0035"
twc = (0,6 - 0,14*SDS)*W / (2*π*Rm*St*Ks*Ec) (Weight)
= 0,59*-16 164,3 / (2*π*37,0313*16 700*1,20*1,00)
= -0,002"
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (-0,002) - (0)|
= 0,002"
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / (R - 0,40*(t - tmc - twc))
= 2*2 888,78*1,20*(0,0625 - 0 - -0,0117) / (37 - 0,40*(0,0625 - 0 - -0,0117))
= 13,92 psi
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Hot Shut Down, Corroded, Weight & Eccentric Moments Only, Below Support Point
tp = 0" (Pressure)
tm = M / (π*Rm2*St*Ks*Ec) (bending)
= 0 / (π*37,03132*16 700*1,00*1,00)
= 0"
tw = W / (2*π*Rm*St*Ks*Ec) (Weight)
= -16 164,3 / (2*π*37,0313*16 700*1,00*1,00)
= -0,0042"
tt = tp + tm - tw (total required, tensile)
= 0 + 0 - (-0,0042)
= 0,0042"
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0,0042) - (0)|
= 0,0042"
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Legs #1
Inputs
Leg material
Leg description 3 inch sch 40 pipe
Number of legs, N 4
Overall length 36"
Base to girth seam length 28"
Bolt circle 76,125"
Foundation allowable bearing stress 1 658 psi
User defined leg eccentricity 0
Effective length coefficient, K 1,2
Coefficient, Cm 0,85
Leg yield stress, Fy 36 000 psi
Leg elastic modulus, E 29 000 000 psi
Anchor Bolts
Anchor bolt size 0,375" series 8 threaded
Anchor bolt material
Anchor bolts/leg 1
Anchor bolt allowable stress, Sb 20 000 psi
Anchor bolt corrosion allowance 0"
Anchor bolt hole clearance 0,375"
Welds
Leg to shell fillet weld 0,0625" (0,0406" required)
Legs braced No
Note: The support attachment point is assumed to be 1 in up from the cylinder circumferential seam.
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Weight operating corroded, Moment = 0,0 lbf-ft
Forceattack
angle °
Legposition °
Axialend load
lbf
Shearresisted
lbf
Axialfa
psi
Bendingfbx
psi
Bendingfby
psi
RatioH1-1
RatioH1-2
0
0 4 365,5 0,0 1 958 0 0 0,0981 0,0906
90 4 365,5 0,0 1 958 0 0 0,0981 0,0906
180 4 365,5 0,0 1 958 0 0 0,0981 0,0906
270 4 365,5 0,0 1 958 0 0 0,0981 0,0906
Weight empty corroded, Moment = 0,0 lbf-ft
Forceattack
angle °
Legposition °
Axialend load
lbf
Shearresisted
lbf
Axialfa
psi
Bendingfbx
psi
Bendingfby
psi
RatioH1-1
RatioH1-2
0
0 192,2 0,0 86 0 0 0,0043 0,0040
90 192,2 0,0 86 0 0 0,0043 0,0040
180 192,2 0,0 86 0 0 0,0043 0,0040
270 192,2 0,0 86 0 0 0,0043 0,0040
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Weight vacuum corroded, Moment = 0,0 lbf-ft
Forceattack
angle °
Legposition °
Axialend load
lbf
Shearresisted
lbf
Axialfa
psi
Bendingfbx
psi
Bendingfby
psi
RatioH1-1
RatioH1-2
0
0 4 365,5 0,0 1 958 0 0 0,0981 0,0906
90 4 365,5 0,0 1 958 0 0 0,0981 0,0906
180 4 365,5 0,0 1 958 0 0 0,0981 0,0906
270 4 365,5 0,0 1 958 0 0 0,0981 0,0906
Governing Condition : Seismic operating corroded, Moment = 605,4 lb f-ft
Forceattack
angle °
Legposition °
Axialend load
lbf
Shearresisted
lbf
Axialfa
psi
Bendingfbx
psi
Bendingfby
psi
RatioH1-1
RatioH1-2
0
0 2 443,4 30,6 1 096 514 0 0,0734 0,0723
90 4 404,2 30,6 1 975 0 514 0,1176 0,1130
180 4 502,2 30,6 2 019 514 0 0,1198 0,1151
270 4 404,2 30,6 1 975 0 514 0,1176 0,1130
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Seismic empty corroded, Moment = 25,9 lbf-ft
Forceattack
angle °
Legposition °
Axialend load
lbf
Shearresisted
lbf
Axialfa
psi
Bendingfbx
psi
Bendingfby
psi
RatioH1-1
RatioH1-2
0
0 94,0 1,3 42 23 0 0,0029 0,0029
90 170,2 1,3 76 0 23 0,0046 0,0045
180 174,4 1,3 78 23 0 0,0047 0,0046
270 170,2 1,3 76 0 23 0,0046 0,0045
Seismic vacuum corroded, Moment = 605,4 lbf-ft
Forceattack
angle °
Legposition °
Axialend load
lbf
Shearresisted
lbf
Axialfa
psi
Bendingfbx
psi
Bendingfby
psi
RatioH1-1
RatioH1-2
0
0 2 443,4 30,6 1 096 514 0 0,0734 0,0723
90 4 404,2 30,6 1 975 0 514 0,1176 0,1130
180 4 502,2 30,6 2 019 514 0 0,1198 0,1151
270 4 404,2 30,6 1 975 0 514 0,1176 0,1130
Leg Calculations (AISC manual ninth edition)
Axial end load, P1 (Based on vessel total bending moment acting at leg attachment elevation)
P1 = (1 + 0,14*SDS)*Wt / N + 48*Mt / (N*D)= (1 + 0,14*0,104)*17 364,14 / 4 + 48*605,4 / ( 4*74,125)= 4 502,24 lbf
Allowable axial compressive stress, Fa (AISC chapter E)
Cc = Sqr(2*π2*E / Fy)= Sqr(2*π2*29 000 000 / 36 000)= 126,0993
K*l / r = 1,2*29 / 1,1637 = 29,9039
Fa = 1 * (1 - (K*l / r)2 / (2*Cc2))*Fy / (5 / 3 + 3*(K*l / r) / (8*Cc)-(K*l / r)3 / (8*Cc
3))= 1 * (1 - (29,9039)2 / (2*126,09932))*36 000 / (5 / 3 + 3*(29,9039) / (8*126,0993)-(29,9039)3 / (8*126,09933))
= 19 948 psi
Allowable axial compression and bending (AISC chapter H)
F'ex = 1*12*π2*E / (23*(K*l / r)2)
= 1*12*π2*29 000 000 / (23*(29,9039)2)= 166 992 psi
F'ey = 1*12*π2*E / (23*(K*l / r)2)
= 1*12*π2*29 000 000 / (23*(29,9039)2)= 166 992 psi
Fb = 1*0,66*Fy
= 1*0,66*36 000
= 23 760 psi
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Compressive axial stress
fa = P1 / A= 4 502,24 / 2,23
= 2 019 psi
Bending stresses
fbx = F*cos(α)*L / (Ix / Cx) + P1*Ecc / (Ix / Cx)= 30,56*cos(0)*29 / (3,02 / 1,75) + 4 502,24*0 / (3,02 / 1,75)= 514 psi
fby= F*sin(α)*L / (Iy / Cy)
= 30,56*sin(0)*29 / (3,02 / 1,75)= 0 psi
AISC equation H1-1
H1-1 = fa / Fa + Cmx*fbx / ((1 - fa / F'ex)*Fbx) + Cmy*fby / ((1 - fa / F
'ey)*Fby)
= 2 019 / 19 948 + 0,85*514 / ((1 - 2 019 / 166 992)*23 760) + 0,85*0 / ((1 - 2 019 / 166 992)*23 760)
= 0,1198
AISC equation H1-2
H1-2 = fa / (0,6*1*Fy) + fbx / Fbx + fby / Fby
= 2 019 / (0,6*1*36 000) + 514 / 23 760 + 0 / 23 760= 0,1151
4, 3 inch sch 40 pipe legs are adequate.
Anchor bolts - Seismic empty corroded condition governs
Tensile loading per leg (1 bolt per leg)
R = 48*M / (N*BC) - (0,6 - 0,14*SDS)*W / N= 48*38,3 / (4*76,125) - (0,6 - 0,14*0,104)*768,81 / 4
= -106,49 lbf
There is no net uplift (R is negative).
0,375" series 8 threaded bolts are satisfactory.
Check the leg to vessel fillet weld, Bednar 10.3, Seismic operating corroded governs
Note: continuous welding is assumed for all support leg fillet welds.
Zw = (2*b*d + d2) / 3
= (2*3,5*7 + 72
) / 3= 32,6667 in2
Jw = (b + 2*d)3 / 12 - d2*(b + d)2 / (b + 2*d)
= (3,5 + 2*7)3 / 12 - 72*(3,5 + 7)2 / (3,5 + 2*7)= 137,9146 in3
E = d2 / (b + 2*d)= 72 / (3,5 + 2*7)
= 2,8 in
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Governing weld load fx = Cos(90)*30,56 = 0 lbf
Governing weld load fy = Sin(90)*30,56 = 30,56 lbf
f1 = P1 / Lweld
= 4 404,24 / 17,5= 251,67 lbf /in (V
L direct shear)
f2= fy*Lleg*0,5*b / Jw
= 30,56*29*0,5*3,5 / 137,9146= 11,24 lbf /in (V
L torsion shear)
f3 = fy / Lweld
= 30,56 / 17,5
= 1,75 lbf /in (Vc direct shear)
f4 = fy*Lleg*E / Jw
= 30,56*29*2,8 / 137,9146= 17,99 lbf /in (V
c torsion shear)
f5 = (fx*Lleg + P1*Ecc) / Zw
= (0*29 + 4 404,24*0) / 32,6667
= 0 lbf /in (ML bending)
f6 = fx / Lweld
= 0 / 17,5= 0 lbf /in (Direct outward radial shear)
f = Sqr((f1 + f2)2 + (f3 + f4)
2 + (f5 + f6)2)
= Sqr((251,67 + 11,24)2 + (1,75 + 17,99)2 + (0 + 0)2)
= 263,66 lbf /in (Resultant shear load)
Required leg to vessel fillet weld leg size (welded both sides + top)
tw
= f / (0,707*0,55*Sa
)
= 263,66 / (0,707*0,55*16 700)= 0,0406 in
The 0,0625 in leg to vessel attachment fillet weld size is adequate.
Base plate thickness check, AISC 3-106
fp = P / (B*N)= 4 569,38 / (4*4)
= 286 psi
tb =(N - (d - tL)) / 2*Sqr(3*fp / Sb)
=(4 - (3,5 - 0,216)) / 2*Sqr(3*286 / 24 000)= 0,0676 in
The base plate thickness is adequate.
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Check the leg to vessel attachment stresses, WRC 107 (Seismic operating corrodedgoverns)
Applied Loads
Radial load, Pr -30,56 lbf
Circumferential moment, Mc 0 lbf-in
Circumferential shear, Vc
0 lbf
Longitudinal moment, ML 886,2 lbf-in
Longitudinal shear, VL 2 443,41 lbf
Torsion moment, Mt 0 lbf-in
Internal pressure, P 3,83 psi
Mean shell radius, Rm 37,0313"
Local shell thickness, T 0,0625"
Design factor 3
Maximum stresses due to the applied loads at the leg edge (includes pressure)
γ = Rm / T = 37,0313 / 0,0625 = 592,5
WRC 107: R m / t > 300 (ratio not covered by WRC 107; R m / t = 300 used which may be unconservative)
C1 = 1,75, C2 = 3,5 in
Local circumferential pressure stress = P*Ri / T =2 266 psi
Local longitudinal pressure stress = P*Ri / (2*T) =1 133 psi
Maximum combined stress (PL+Pb+Q) = 28 399 psiAllowable combined stress (P
L+P
b+Q) = ±3*S = ±50 100 psi
Note: The allowable combined stress (PL+P
b+Q) is based on the strain hardening characteristics of this material.
The maximum combined stress (PL+P
b+Q) is within allowable limits.
Maximum local primary membrane stress (PL) = 6 462 psi
Allowable local primary membrane stress (PL) = ±1,5*S = ±25 050 psi
The maximum local primary membrane stress (PL) is within allowable limits.
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Stresses at the leg edge per WRC Bulletin 107
Figure value β Au Al Bu Bl Cu Cl Du Dl
3C* 24,1131 0,0882 0 0 0 0 318 318 318 318
4C* 42,2557 0,0757 558 558 558 558 0 0 0 0
1C 0,0878 0,0615 0 0 0 0 4 121 -4 121 4 121 -4 121
2C-1 0,0485 0,0615 2 276 -2 276 2 276 -2 276 0 0 0 0
3A* 11,668 0,0595 0 0 0 0 0 0 0 0
1A 0,0815 0,0589 0 0 0 0 0 0 0 0
3B* 32,9963 0,075 -3 638 -3 638 3 638 3 638 0 0 0 0
1B-1 0,0317 0,0593 -19 661 19 661 19 661 -19 661 0 0 0 0
Pressure stress* 2 266 2 266 2 266 2 266 2 266 2 266 2 266 2 266
Total circumferential stress -18 199 16 571 28 399 -15 475 6 705 -1 537 6 705 -1 537
Primary membrane
circumferential stress*-814 -814 6 462 6 462 2 584 2 584 2 584 2 584
3C* 27,9388 0,0757 369 369 369 369 0 0 0 0
4C* 39,5527 0,0882 0 0 0 0 522 522 522 522
1C-1 0,0689 0,078 3 234 -3 234 3 234 -3 234 0 0 0 0
2C 0,0392 0,078 0 0 0 0 1 840 -1 840 1 840 -1 840
4A* 19,1241 0,0595 0 0 0 0 0 0 0 0
2A 0,0385 0,0673 0 0 0 0 0 0 0 0
4B* 12 0,075 -2 481 -2 481 2 481 2 481 0 0 0 0
2B-1 0,0356 0,0683 -19 169 19 169 19 169 -19 169 0 0 0 0
Pressure stress* 1 133 1 133 1 133 1 133 1 133 1 133 1 133 1 133
Total longitudinal stress -16 914 14 956 26 386 -18 420 3 495 -185 3 495 -185
Primary membranelongitudinal stress*
-979 -979 3 983 3 983 1 655 1 655 1 655 1 655
Shear from Mt 0 0 0 0 0 0 0 0
Circ shear from Vc 0 0 0 0 0 0 0 0
Long shear from VL
0 0 0 0 -2 792 -2 792 2 792 2 792
Total Shear stress 0 0 0 0 -2 792 -2 792 2 792 2 792
Combined stress (PL+Pb+Q) -18 199 16 571 28 399 -18 420 8 320 5 745 8 320 5 745
* denotes primary stress.
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Transition #2
ASME Section VIII Division 1, 2013 Edition
Component Cone
Material SA-240 304L (II-D p. 86, ln. 43)
ImpactTested
NormalizedFine GrainPractice
PWHTOptimize MDMT/
Find MAWP
No No No No No
DesignPressure (psi)
DesignTemperature (°F)
DesignMDMT (°F)
Internal 0 200-20
External 0 200
Static Liquid Head
Condition Ps (psi) Hs (in) SG
OperatingLarge 3,83 106
1
Small 4,19 116
Test horizontalLarge 2,67 74
1
Small 1,39 38,5
Dimensions
Inner DiameterLarge 74"
Small 3"
Length 10"
Nominal Thickness 0,125"
CorrosionInner 0"
Outer 0"
KnuckleThickness tkl 0,125"
Radius r1 4,4475"
Weight and Capacity
Weight (lb) Capacity (US gal)
New 177,66 107,29
Corroded 177,66 107,29
Radiography
Longitudinal seam None UW-11(c) Type 1
Top Circumferential seam None UW-11(c) Type 1
Bottom Circumferential seam None UW-11(c) Type 1
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Results Summary
Governing condition Internal pressure
Minimum thickness per UG-16 0,0625" + 0" = 0,0625"
Design thickness due to internal pressure (t) 0,0781"
Design thickness due to external pressure (te) 0,0066"
Design thickness due to combined loadings + corrosion 0,0301"
Maximum allowable working pressure (MAWP) 2,39 psi
Maximum allowable pressure (MAP) 6,38 psi
Maximum allowable external pressure (MAEP) 0 psi
Rated MDMT -320 °F
UHA-51 Material Toughness Requirements
Rated MDMT per UHA-51(d)(1)(a), (carbon content does not exceed 0,10%) = -320°F
Material is exempt from impact testing at the Design MDMT of -20°F.
Design thickness, (at 200 °F) UG-32(h) (Large End)
Di = D - 2*r*(1 - cos(α))
= 74 - 2*4,4475*(1 - cos(79,9852))= 66,6519"
t = P*Di / (2*cos(α)*(S*E - 0,60*P)) + Corrosion= 3,99*66,6519 / (2*cos(79,9852)*(16 700*0,70 - 0,60*3,99)) + 0
= 0,0653"Design thickness, (at 200 °F) Appendix 1-4(d) (Knuckle)
L = Di / (2*cos(α))= 66,6519 / (2*cos(79,9852))= 191,635"
M = 0,25*(3 + Sqr(L / r))= 0,25*(3 + Sqr(191,635 / 4,4475))
= 2,391
tk = P*L*M / (2*S*E - 0,20*P) + Corrosion= 3,99*191,635*2,391 / (2*16 700*0,70 - 0,20*3,99) + 0= 0,0781"
Small End design thickness (t = 0,0031") does not govern.
Maximum allowable working pressure, (Corroded at 200 °F) UG-32(h)
P = 2*S*E*t*cos(α) / (Di + 1,20*t*cos(α)) - Pskl
=2*16 700*0,70*0,125*cos(79,9852) / (66,6519 + 1,20*0,125*cos(79,9852)) -3,98
= 3,64 psi
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Maximum allowable working pressure, (Corroded at 200 °F) App 1-4(d) (Knuckle)
P = 2*S*E*tk / (L*M + 0,20*tk) - Ps
=2*16 700*0,70*0,125 / (191,635*2,391 + 0,20*0,125) -3,98
= 2,39 psi
Small End MAWP (163,76 psi) does not govern.
Maximum allowable pressure, (New at 70 °F) UG-32(h)
P = 2*S*E*t*cos(α) / (Di + 1,20*t*cos(α))
=2*16 700*0,70*0,125*cos(79,9852) / (66,6519 +1,20*0,125*cos(79,9852))
= 7,62 psi
Maximum allowable pressure, (New at 70 °F) App 1-4(d) (Knuckle)
P = 2*S*E*tk / (L*M + 0,20*tk)
=2*16 700*0,70*0,125 / (191,635*2,391 +0,20*0,125)
= 6,38 psi
Small End MAP (167,95 psi) does not govern.
External Pressure, (Corroded & at 200 °F) UG-33(f)(2)
C = 0,13
t = Do*Sqr(C*Pe / Se) + Corrosion= 74,25*Sqr(0,13*0 / 16700) + 0
= 0,0066"
% Forming strain - UHA-44(a)(2)
EFE = (50*t / Rf)*(1 - R
f / R
o)
= (50*0,7188 / 1,8594)*(1 - 1,8594 / infinity)
= 19,3286%
External Pressure + Weight + Seismic Loading Check (Bergman, ASME paper 54-A-104)
Pv = [(0,6 - 0,14*SDS)*W / (2*π*Rm) + M / (π*Rm2)] / cos(α)
= [0,59*-16 870,7 / (2*π*37,0625) + 12 / (π*37,06252)] / cos(79,9852) = -243,8733 lb/in
α = Pv / (Pe*Do) = -243,8733 / (0*74,25)
= -3 284,4887n = 24
m = 1,23 / (L / Do)2
= 1,23 / (2,9315 / 74,25)2
= 789,0945
Ratio Pe = (n2 - 1 + m + m*α) / (n2 - 1 + m) = (242 - 1 + 789,0945 + 789,0945*-3) / (242 - 1 + 789,0945)
= 1
Ratio Pe * Pe ≤ MAEP
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(1 * 0 = 0) ≤ 0,36
Transition design thickness is satisfactory.
Thickness Required Due to Pressure + External Loads
ConditionPressure P (
psi)
Allowable
Stress BeforeUG-23 Stress
Increase (
psi)
Temperature (°F)
Corrosion C(in)
Location LoadReq'd Thk Due to
Tension (in)Req'd Thk Due toCompression (in)
St Sc
Operating, Hot & Corroded 0 16 700 1 005 200 0Top Seismic 0,0301 0,0174
Bottom Seismic 0,0013 0,0007
Operating, Hot & New 0 16 700 1 005 200 0Top Seismic 0,0301 0,0174
Bottom Seismic 0,0013 0,0007
Hot Shut Down, Corroded 0 16 700 1 005 200 0Top Seismic 0,0301 0,0174
Bottom Seismic 0,0013 0,0007
Hot Shut Down, New 0 16 700 1 005 200 0Top Seismic 0,0301 0,0174
Bottom Seismic 0,0013 0,0007
Empty, Corroded 0 16 700 1 044 70 0Top Seismic 0,0003 0,0002
Bottom Seismic 0 0
Empty, New 0 16 700 1 044 70 0Top Seismic 0,0003 0,0002
Bottom Seismic 0 0
Vacuum 0 16 700 1 005 200 0Top Seismic 0,0301 0,0174
Bottom Seismic 0,0013 0,0007
Hot Shut Down, Corroded,Weight & Eccentric Moments
Only0 16 700 1 005 200 0
Top Weight 0 0
Bottom Weight 0 0
Allowable Compressive Stress, Hot and Corroded- ScHC, (table HA-3)A = 0,125 / (Ro / te)
= 0,125 / (37,125 / 0,0217)= 0,000073
B = 1 005 psiS = 16 700 / 1,00 = 16 700 psi
ScHC = min(B, S) = 1 005 psiAllowable Compressive Stress, Hot and New- ScHN
ScHN = ScHC
= 1005,3211 psi
Allowable Compressive Stress, Cold and New- ScCN, (table HA-3)A = 0,125 / (Ro / te)
= 0,125 / (37,125 / 0,0217)= 0,000073
B = 1 044 psi
S = 16 700 / 1,00 = 16 700 psiScCN = min(B, S) = 1 044 psi
Allowable Compressive Stress, Cold and Corroded- ScCC
ScCC = ScCN
= 1043,8631 psi
Allowable Compressive Stress, Vacuum and Corroded- ScVC, (table
HA-3)A = 0,125 / (Ro / te)
= 0,125 / (37,125 / 0,0217)= 0,000073
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B = 1 005 psiS = 16 700 / 1,00 = 16 700 psi
ScVC = min(B, S) = 1 005 psi
Operating, Hot & Corroded, Seismic, Top Seam
tp = P*R / [(2*St*Ks*Ec + 0,40*|P|)*cos(α)] (Pressure)
= 0*37 / [(2*16 700*1,20*0,70 + 0,40*|0|)*cos(79,9852)]= 0"
tm = M / [(π*Rm2
*St*Ks*Ec)*cos(α)] (bending)= 12 / [(π*37,06252*16 700*1,20*0,70)*cos(79,9852)]= 0"
tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 1,01*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]
= -0,0301"
tt = tp + tm - tw
(total
required,tensile)
= 0 + 0 - (-0,0301)= 0,0301"
twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 0,59*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]
= -0,0174"
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (-0,0174) - (0)|= 0,0174"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,20*0,70*(0,125 - 0 + (-0,0301)) / ((37 - 0,40*(0,125 - 0 + (-0,0301)))*cos(79,9852))
= 414,08 psi
Operating, Hot & New, Seismic, Top Seam
tp = P*R / [(2*St*Ks*Ec + 0,40*|P|)*cos(α)] (Pressure)
= 0*37 / [(2*16 700*1,20*0,70 + 0,40*|0|)*cos(79,9852)]= 0"
tm = M / [(π*Rm2*St*Ks*Ec)*cos(α)] (bending)
= 12 / [(π*37,06252*16 700*1,20*0,70)*cos(79,9852)]= 0"
tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 1,01*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]
= -0,0301"
tt = tp + tm - tw
(total
required,
tensile)= 0 + 0 - (-0,0301)
= 0,0301"twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 0,59*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]= -0,0174"
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (-0,0174) - (0)|
= 0,0174"
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Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,20*0,70*(0,125 - 0 + (-0,0301)) / ((37 - 0,40*(0,125 - 0 + (-0,0301)))*cos(79,9852))= 414,08 psi
Hot Shut Down, Corroded, Seismic, Top Seam
tp = 0" (Pressure)
tm = M / [(π*Rm2
*St*Ks*Ec)*cos(α)] (bending)= 12 / [(π*37,06252*16 700*1,20*0,70)*cos(79,9852)]= 0"
tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 1,01*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]
= -0,0301"
tt = tp + tm - tw
(total
required,tensile)
= 0 + 0 - (-0,0301)= 0,0301"
twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 0,59*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]
= -0,0174"
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (-0,0174) - (0)|= 0,0174"
Hot Shut Down, New, Seismic, Top Seam
tp = 0" (Pressure)tm = M / [(π*Rm
2*St*Ks*Ec)*cos(α)] (bending)
= 12 / [(π*37,06252*16 700*1,20*0,70)*cos(79,9852)]= 0"
tw
= (1 + 0,14*SDS
)*W / [(2*π*Rm
*St
*Ks
*Ec
)*cos(α)] (Weight)
= 1,01*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]= -0,0301"
tt = tp + tm - tw
(totalrequired,
tensile)= 0 + 0 - (-0,0301)= 0,0301"
twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 0,59*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]
= -0,0174"
tc = |tmc + twc - tpc|(total, net
tensile)
= |0 + (-0,0174) - (0)|= 0,0174"
Empty, Corroded, Seismic, Top Seam
tp = 0" (Pressure)
tm = M / [(π*Rm2*St*Ks*Ec)*cos(α)] (bending)
= 4 / [(π*37,06252*16 700*1,20*0,70)*cos(79,9852)]= 0"
tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
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= 1,01*-177,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]
= -0,0003"
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (-0,0003)= 0,0003"
twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
=0,59*-177,7 /
[(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]= -0,0002"
tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0,0002) - (0)|= 0,0002"
Empty, New, Seismic, Top Seam
tp = 0" (Pressure)tm = M / [(π*Rm
2*St*Ks*Ec)*cos(α)] (bending)= 4 / [(π*37,06252*16 700*1,20*0,70)*cos(79,9852)]= 0"
tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 1,01*-177,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]
= -0,0003"
tt = tp + tm - tw(total required,tensile)
= 0 + 0 - (-0,0003)
= 0,0003"twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
=0,59*-177,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]
= -0,0002"tc = |tmc + twc - tpc| (total, net tensile)
= |0 + (-0,0002) - (0)|
= 0,0002"
Vacuum, Seismic, Top Seam
tp = P*R / [(2*St*Ks*Ec + 0,40*|P|)*cos(α)] (Pressure)= 0*37 / [(2*16 700*1,20*0,70 + 0,40*|0|)*cos(79,9852)]= 0"
tm = M / [(π*Rm2*St*Ks*Ec)*cos(α)] (bending)
= 12 / [(π*37,06252*16 700*1,20*0,70)*cos(79,9852)]
= 0"tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 1,01*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]
= -0,0301"
tt = tp + tm - tw
(total
required,tensile)
= 0 + 0 - (-0,0301)= 0,0301"
twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 0,59*-16 870,7 / [(2*π*37,0625*16 700*1,20*0,70)*cos(79,9852)]= -0,0174"
tc = |tmc + twc - tpc| (total, net
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tensile)= |0 + (-0,0174) - (0)|
= 0,0174"
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / ((R - 0,40*(t - tmc - twc))*cos(α))
= 2*1 005,32*1,20*(0,125 - 0 - -0,2022) / ((37 - 0,40*(0,125 - 0 - -0,2022))*cos(79,9852))= 123,11 psi
Operating, Hot & Corroded, Seismic, Bottom Seam
tp = P*R / [(2*St*Ks*Ec + 0,40*|P|)*cos(α)] (Pressure)= 0*1,5 / [(2*16 700*1,00*0,70 + 0,40*|0|)*cos(79,9852)]
= 0"tm = M / [(π*Rm
2*St*Ks*Ec)*cos(α)] (bending)
= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]= 0"
tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 1,01*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= -0,0013"
tt = tp + tm - tw
(total
required,tensile)
= 0 + 0 - (-0,0013)
= 0,0013"twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 0,59*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]
= -0,0007"
tc = |tmc + twc - tpc|(total, net
tensile)= |0 + (-0,0007) - (0)|
= 0,0007"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))
= 2*16 700*1,00*0,70*(0,125 - 0 + (-0,0013)) / ((1,5 - 0,40*(0,125 - 0 + (-0,0013)))*cos(79,9852))= 11 468,65 psi
Operating, Hot & New, Seismic, Bottom Seam
tp = P*R / [(2*St*Ks*Ec + 0,40*|P|)*cos(α)] (Pressure)= 0*1,5 / [(2*16 700*1,00*0,70 + 0,40*|0|)*cos(79,9852)]
= 0"tm = M / [(π*Rm
2*St*Ks*Ec)*cos(α)] (bending)
= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]
= 0"tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 1,01*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= -0,0013"
tt = tp + tm - tw
(totalrequired,
tensile)= 0 + 0 - (-0,0013)= 0,0013"
twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
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= 0,59*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= -0,0007"
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (-0,0007) - (0)|
= 0,0007"
Maximum allowable working pressure, Longitudinal Stress
P = 2*St*Ks*Ec*(t - tm + tw) / ((R - 0,40*(t - tm + tw))*cos(α))= 2*16 700*1,00*0,70*(0,125 - 0 + (-0,0013)) / ((1,5 - 0,40*(0,125 - 0 + (-0,0013)))*cos(79,9852))= 11 468,65 psi
Hot Shut Down, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / [(π*Rm2*St*Ks*Ec)*cos(α)] (bending)
= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]
= 0"tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 1,01*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]
= -0,0013"
tt = tp + tm - tw(totalrequired,tensile)
= 0 + 0 - (-0,0013)= 0,0013"
twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 0,59*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= -0,0007"
tc = |tmc + twc - tpc|(total, nettensile)
= |0 + (-0,0007) - (0)|= 0,0007"
Hot Shut Down, New, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / [(π*Rm
2*St*Ks*Ec)*cos(α)] (bending)
= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]= 0"
tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 1,01*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= -0,0013"
tt = tp + tm - tw
(totalrequired,
tensile)
= 0 + 0 - (-0,0013)= 0,0013"
twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 0,59*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]
= -0,0007"
tc = |tmc + twc - tpc|(total, net
tensile)= |0 + (-0,0007) - (0)|= 0,0007"
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Empty, Corroded, Seismic, Bottom Seam
tp = 0" (Pressure)tm = M / [(π*Rm
2*St*Ks*Ec)*cos(α)] (bending)= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]
= 0"tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 0 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= 0"
tt = tp + tm - tw (total required,tensile)
= 0 + 0 - (0)
= 0"
tc = tmc + twc - tpc
(total required,
compressive)= 0 + (0) - (0)
= 0"
Empty, New, Seismic, Bottom Seam
tp = 0" (Pressure)
tm = M / [(π*Rm2*St*Ks*Ec)*cos(α)] (bending)
= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]= 0"
tw = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 0 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= 0"
tt = tp + tm - tw(total required,
tensile)= 0 + 0 - (0)
= 0"
tc = tmc + twc - tpc
(total required,
compressive)= 0 + (0) - (0)= 0"
Vacuum, Seismic, Bottom Seam
tp = P*R / [(2*St*Ks*Ec + 0,40*|P|)*cos(α)] (Pressure)
= 0*1,5 / [(2*16 700*1,00*0,70 + 0,40*|0|)*cos(79,9852)]= 0"
tm = M / [(π*Rm2*St*Ks*Ec)*cos(α)] (bending)
= 0 / [(π*1,85942*16 700*1,00*0,70)*cos(79,9852)]= 0"
tw = (1 + 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)= 1,01*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]
= -0,0013"
tt = tp + tm - tw(totalrequired,
tensile)= 0 + 0 - (-0,0013)
= 0,0013"twc = (0,6 - 0,14*SDS)*W / [(2*π*Rm*St*Ks*Ec)*cos(α)] (Weight)
= 0,59*-29,6 / [(2*π*1,8594*16 700*1,00*0,70)*cos(79,9852)]= -0,0007"
tc = |tmc + twc - tpc|(total, net
tensile)
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= |0 + (-0,0007) - (0)|= 0,0007"
Maximum Allowable External Pressure, Longitudinal Stress
P = 2*Sc*Ks*(t - tmc - twc) / ((R - 0,40*(t - tmc - twc))*cos(α))= 2*1 005,32*1,00*(0,125 - 0 - -0,0085) / ((1,5 - 0,40*(0,125 - 0 - -0,0085))*cos(79,9852))
= 1 066,85 psi
Appendix 1-5 calculations are not required for the transition large end as a knuckle is present.
Appendix 1-8(b)(2) reinforcement calculations are not required for the transition large end as a knuckle is present.
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Seismic Code
Building Code: ASCE 7-10 ground supported
Site Class C
Importance Factor, Ie 1,0000
Spectral Response Acceleration at short
period (% g), Ss
13,00%
Spectral Response Acceleration at period of1 sec (% g), S1
5,70%
Response Modification Coeficient from
Table 15.4-2, R3,0000
Acceleration-based Site Coefficient, Fa 1,2000
Velocity-based Site Coefficient, Fv 1,7000
Long-period Transition Period, TL 12,0000
Redundancy factor, ρ 1,0000
Risk Category (Table 1.5-1) IIUser Defined Vertical AccelerationsConsidered
No
Vessel Characteristics
Height 11,1667 ft
WeightOperating, Corroded 17 462 lb
Empty, Corroded 769 lb
Vacuum, Corroded 17 462 lb
Period of Vibration Calculation
Fundamental Period, TOperating, Corroded 0,193 sec (f = 5,2 Hz)
Empty, Corroded 0,038 sec (f = 26,2 Hz)
Vacuum, Corroded 0,193 sec (f = 5,2 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(W i * yi )} ), where
Wi is the weight of the ith lumped mass, andyi is its deflection when the system is treated as a cantilever beam.
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2.4 Combining Nominal Loads Using Allowable StressDesign
Load combinations considered in accordance with ASCEsection 2.4.1:
5. D + P + P s + 0.7E
8. 0.6D + P + P s + 0.7E
Parameter description
D = Dead load
P = Internal or external pressure load
P s
= Static head load
E = Seismic load
Seismic Shear Reports:
Operating, CorrodedEmpty, Corroded
Vacuum, CorrodedBase Shear Calculations
Seismic Shear Report: Operating, Corroded
ComponentElevation of Bottom
above Base (in)
Elastic Modulus E
(106 psi)
Inertia I
(ft4)
Seismic Shear at
Bottom (lbf)
Bending Moment at
Bottom (lbf-ft)
Transition #1 124 27,5 * 12 3
Cylinder #1 76 27,5 0,4809 82 203
Cylinder #2 (top) 28 27,5 0,4809 118 607
Legs #1 0 29,0 0,0006 122 890
Cylinder #2 (bottom) 28 27,5 0,4809 4 1
Transition #2 28 27,5 * 3 1
*Moment of Inertia I varies over the length of the component
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Seismic Shear Report: Empty, Corroded
ComponentElevation of Bottom
above Base (in)Elastic Modulus E
(106 psi)Inertia I
(ft4)Seismic Shear at
Bottom (lbf)Bending Moment at
Bottom (lbf-ft)
Transition #1 124 28,3 * 1 1
Cylinder #1 76 28,3 0,4809 3 10
Cylinder #2 (top) 28 28,3 0,4809 5 26
Legs #1 0 29,0 0,0006 5 38
Cylinder #2 (bottom) 28 28,3 0,4809 1 0
Transition #2 28 28,3 * 1 0
*Moment of Inertia I varies over the length of the component
Seismic Shear Report: Vacuum, Corroded
ComponentElevation of Bottom
above Base (in)Elastic Modulus E
(106 psi)Inertia I
(ft4)Seismic Shear at
Bottom (lbf)Bending Moment at
Bottom (lbf-ft)
Transition #1 124 27,5 * 12 3
Cylinder #1 76 27,5 0,4809 82 203
Cylinder #2 (top) 28 27,5 0,4809 118 607
Legs #1 0 29,0 0,0006 122 890
Cylinder #2 (bottom) 28 27,5 0,4809 4 1
Transition #2 28 27,5 * 3 1
*Moment of Inertia I varies over the length of the component
11.4.3: Maximum considered earthquake spectral response acceleration
The maximum considered earthquake spectral response acceleration at short period, SMS
SMS
= Fa * Ss = 1,2000 * 13,00 / 100 = 0,1560
The maximum considered earthquake spectral response acceleration at 1 s period, SM1
SM1
= Fv * S1 = 1,7000 * 5,70 / 100 = 0,0969
11.4.4: Design spectral response acceleration parameters
Design earthquake spectral response acceleration at short period, SDS
SDS
= 2 / 3 * SMS
= 2 / 3 * 0,1560 = 0,1040
Design earthquake spectral response acceleration at 1 s period, SD1
SD1
= 2 / 3 * SM1
= 2 / 3 * 0,0969 = 0,0646
11.6 Seismic Design Category
The Risk Category is II.From Table 11.6-1, the Seismic Design Category based on S
Ds = 0,1040 is A.
From Table 11.6-2, the Seismic Design Category based on SD1 = 0,0646 is A.This vessel is assigned to Seismic Design Category A.
Note: This vessel is assigned to Seismic Design Category A, and seismic design is per Section 11.7. The VAccel Termis not applicable.
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Base Shear Calculations
Operating, CorrodedEmpty, CorrodedVacuum, Corroded
Base Shear Calculations: Operating, Corroded
Per ASCE Section 11.6, this vessel is assigned to Seismic Design Category A, as (SD1 = 0,0646) < 0.067, and (SDs =0,1040) < 0.167.In accordance with ASCE Section 11.7, seismic load is determined with Equation 1.4-1.
V = 0.01 * W * 0.7 (Only 70% of seismic load considered as per Section 2.4.1)
= 0.01 * 17 462,1289 * 0.7
= 122,23 lb
Base Shear Calculations: Empty, Corroded
Per ASCE Section 11.6, this vessel is assigned to Seismic Design Category A, as (SD1
= 0,0646) < 0.067, and (SDs
=
0,1040) < 0.167.In accordance with ASCE Section 11.7, seismic load is determined with Equation 1.4-1.
V = 0.01 * W * 0.7 (Only 70% of seismic load considered as per Section 2.4.1)
= 0.01 * 769,1284 * 0.7
= 5,38 lb
Base Shear Calculations: Vacuum, Corroded
Per ASCE Section 11.6, this vessel is assigned to Seismic Design Category A, as (SD1
= 0,0646) < 0.067, and (SDs
=0,1040) < 0.167.
In accordance with ASCE Section 11.7, seismic load is determined with Equation 1.4-1.
V = 0.01 * W * 0.7 (Only 70% of seismic load considered as per Section 2.4.1)
= 0.01 * 17 462,1289 * 0.7
= 122,23 lb
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