Date post: | 22-Oct-2014 |
Category: |
Documents |
Upload: | mecha-auah |
View: | 81 times |
Download: | 1 times |
Codeware, Inc.
Houston, TX, USA
www.codeware.com
COMPRESS Pressure Vessel Design Calculations
Item: Split Stream DearatorVessel No: V-1234Customer: Magaladon Oil Venture
Contract: C-45490-R56Designer: John Doe
Date: April 1, 2001
You can edit this page by selecting Cover Page settings... in the report menu.
1/28
Deficiencies Summary
Deficiencies for Transition #1Appendix 1-8(b): a stiffener ring is required at the cone large end within 17.1 mm of the juncture.Appendix 1-8(c): a stiffener ring is required at the cone small end within 16.68 mm of the juncture.
Warnings Summary
Warnings for Flange #1This body flange is being counted as a line of support for external pressure. (warning)
Warnings for Flange #3This body flange is being counted as a line of support for external pressure. (warning)
Warnings for VesselThe vessel does not have a top closure (head or cover). (warning)
2/28
Pressure Summary
Pressure Summary for Chamber bounded by Welded Cover #1 and Top of vessel
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
Cylinder #1 23.10 70.0 25.80 34.48 10.06 70.0 -29.2 Note 1 3.00 No
Transition #1 23.10 70.0 24.49 32.73 1.05 70.0 -29.0 Note 2 3.00 No
Cylinder #2 23.10 70.0 24.53 32.78 1.87 70.0 -29.0 Note 2 3.00 No
Welded Cover #1 23.10 70.0 23.11 26.05 23.11 70.0 -29.0 Note 3 3.00 No
Flange #1 23.10 70.0 98.75 104.05 N/A 70.0 -48.0 Note 4, 5 0.00 No
Flange #3 23.10 70.0 98.75 104.05 N/A 70.0 -48.0 Note 4, 5 0.00 No
Chamber design MDMT is -28.89°CChamber rated MDMT is -29.00°C @ 23.11 kg/cm2
Chamber MAWP hot & corroded is 23.11 kg/cm2 @ 70.0°C
Chamber MAP cold & new is 26.05 kg/cm2 @ 21.1°C
Chamber MAEP is 1.05 kg/cm2 @ 70.0°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 = -23.31 °CFig UCS-66.1M MDMT reduction = 5.9 °C, (coincident ratio = 0.8946971) UCS-66 governing thickness = 12 mm
2. Material is impact test exempt per UG-20(f) UCS-66 governing thickness = 12 mm
3. Head is impact test exempt per UG-20(f) UCS-66 governing thickness = 14.25 mm.
4. UCS-66(b)(3): Coincident ratio = 0.2220956
5. Flange rated MDMT = -105 °C Bolts rated MDMT per Fig UCS-66 note (e) = -48 °C
Design notes are available on the Settings Summary page.
3/28
Revision History
No. Date Operator Notes
0 6/30/2011 Administrator New vessel created ASME Section VIII Division 1 [Build 6258]
4/28
Settings Summary
COMPRESS Build 6258
Units: MKS
Datum Line Location: 0.00 mm from bottom seam
Design
ASME Section VIII Division 1, 2007 Edition Metric
Design or Rating: Get Thickness from PressureMinimum thickness: 1.50 mm per UG-16(b)Design for cold shut down only: NoDesign for lethal service (full radiography required): NoDesign nozzles for: Design P, find nozzle MAWP and MAPCorrosion weight loss: 100% of theoretical lossUG-23 Stress Increase: 1.20Skirt/legs stress increase: 1.0Minimum nozzle projection: 152.40 mmJuncture calculations for α > 30 only: YesPreheat 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 Pressure: 1.3 times vesselMAWP
Test liquid specific gravity: 1.00Maximum stress during test: 90% of yield
Required Marking - UG-116
UG-116 (e) Radiography: RT1UG-116 (f) Postweld heat treatment: None
Code Cases\Interpretations
Use Code Case 2547: NoApply interpretation VIII-1-83-66: YesApply interpretation VIII-1-86-175: YesApply interpretation VIII-1-83-115: YesApply interpretation VIII-1-01-37: YesDisallow UG-20(f) exemptions: No
UG-22 Loadings
UG-22 (a) Internal or External Design Pressure : YesUG-22 (b) Weight of the vessel and normal contents under operating or test conditions: NoUG-22 (c) Superimposed static reactions from weight of attached equipment (external loads): No
5/28
UG-22 (d)(2) Vessel supports such as lugs, rings, skirts, saddles and legs: NoUG-22 (f) Wind reactions: NoUG-22 (f) Seismic reactions: NoNote: UG-22 (b),(c) and (f) loads only considered when supports are present.
6/28
Thickness Summary
ComponentIdentifier
Material Diameter(mm)
Length(mm)
Nominal t(mm)
Design t(mm)
JointE
Load
Cylinder #1 SA-516 70 965.00 ID 1000.00 12.00 11.05 1.0000 Internal
Transition #1 SA-516 70 965.00/1016.00 ID 500.00 12.00 11.48 1.0000 Internal
Cylinder #2 SA-516 70 1016.00 ID 6000.00 12.00 11.47 1.0000 Internal
Welded Cover #1 SA-516 70 1016.00 ID 57.00 57.00* 56.99 1.0000 Internal
Nominal t: Vessel wall nominal thickness
Design t: Required vessel thickness due to governing loading + corrosion
Joint E: Longitudinal seam joint efficiency
* Head minimum thickness after forming
Load
internal: Circumferential stress due to internal pressure governs
external: External pressure governs
Wind: Combined longitudinal stress of pressure + weight + wind governs
Seismic: Combined longitudinal stress of pressure + weight + seismic governs
7/28
Weight Summary
ComponentWeight ( kg) Contributed by Vessel Elements
MetalNew*
Metal
Corroded*Insulation &
Supports Lining Piping+ Liquid
OperatingLiquid
TestLiquid
Cylinder #1 288.51 217.05 0.00 0.00 0.00 0.00 730.77
Transition #1 148.22 111.50 0.00 0.00 0.00 0.00 385.04
Cylinder #2 1,821.39 1,370.07 0.00 0.00 0.00 0.00 4,860.33
Welded Cover #1 361.98 342.93 0.00 0.00 0.00 0.00 0.00
TOTAL: 2,620.09 2,041.55 0.00 0.00 0.00 0.00 5,976.13
* 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
Cylinder #1 607.81 607.81 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Transition #1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Cylinder #2 739.36 739.36 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Welded Cover #1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
TOTAL: 1,347.17 1,347.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00
Vessel operating weight, Corroded: 3,389 kgVessel operating weight, New: 3,967 kgVessel empty weight, Corroded: 3,389 kgVessel empty weight, New: 3,967 kgVessel test weight, New: 9,943 kg
Vessel center of gravity location - from datum - lift condition
Vessel Lift Weight, New: 3,967 kgCenter of Gravity: 3,508.57 mm
Vessel Capacity
Vessel Capacity** (New): 5,981 litersVessel Capacity** (Corroded): 6,053 liters**The vessel capacity does not include volume of nozzle, piping or other attachments.
8/28
Hydrostatic Test
Shop test pressure determination for Chamber bounded by Welded Cover #1 and Top of vessel based onMAWP per UG-99(b)
Shop hydrostatic test gauge pressure is 30.04 kg/cm2 at 21.11 °C (the chamber MAWP = 23.11 kg/cm2)
The shop test is performed with the vessel in the horizontal position.
IdentifierLocal testpressurekg/cm2
Test liquidstatic head
kg/cm2
UG-99stressratio
UG-99pressure
factor
Stressduring test
kg/cm2
Allowabletest stress
kg/cm2
Stressexcessive?
Cylinder #1 (1) 30.14 0.1 1 1.30 1,226.966 2,386.134 No
Flange #1 30.14 0.1 N/A 1.30 NI NI NI
Transition #1 30.14 0.1 1 1.30 1,277.775 2,386.134 No
Cylinder #2 30.14 0.1 1 1.30 1,291.13 2,386.134 No
Flange #3 30.14 0.1 N/A 1.30 NI NI NI
Welded Cover #1 30.14 0.1 1 1.30 1,628.15 3,579.201 No
Notes:(1) Cylinder #1 limits the UG-99 stress ratio.(2) NI indicates that test stress was not investigated.(3) VIII-2, AD-151.1(b) used as the basis for nozzle allowable test stress.(4) The zero degree angular position is assumed to be up, and the test liquid height is assumed to the top-mostflange.
The field test condition has not been investigated for the Chamber bounded by Welded Cover #1 and Top of vessel.
The test temperature of 21.11 °C is warmer than the minimum recommended temperature of -12 °C so the brittlefracture provision of UG-99(h) has been met.
9/28
Vacuum Summary
Component Line of SupportElevation
above Datum(mm)
Length Le(mm)
- Flange #1 8058.80 N/A
- Flange #1 8058.80 N/A
Cylinder #1 Top - 7770.00 1288.80
Cylinder #1 Bottom - 6770.00 1288.80
Transition #1 Top - 6770.00 487.74
- Transition #1 Top 6770.00 487.74
- Transition #1 Bottom 6270.00 487.74
Transition #1 Bottom - 6270.00 487.74
Cylinder #2 Top - 6270.00 6270.00
Cylinder #2 Bottom - 270.00 6270.00
- Flange #3 0.00 N/A
- 1/3 depth of Welded Cover #1 0.00 N/A
Welded Cover #1 - -57.00 N/A
Note
For main components, the listed value of 'Le' is the largest unsupported length for the component.
10/28
Cylinder #1
ASME Section VIII Division 1, 2007 Edition Metric
Component: CylinderMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 22)Material impact test exemption temperature from Fig UCS-66M Curve B = -23.31 °CFig UCS-66.1M MDMT reduction = 5.9 °C, (coincident ratio = 0.8946971)UCS-66 governing thickness = 12 mm
Internal design pressure: P = 23.1 kg/cm2 @ 70°CExternal design pressure: Pe = 1.05461 kg/cm2 @ 70°C
Static liquid head:
Pth =0.0990 kg/cm2 (SG=1.0000, Hs=990.50 mm, Horizontal test head)
Corrosion allowance: Inner C = 3.00 mm Outer C = 0.00 mm
Design MDMT = -28.89°C No impact test performedRated MDMT = -29.21°C Material is not normalized
Material is not produced to Fine Grain PracticePWHT is not performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1Top circumferential joint - Full UW-11(a) Type 1Bottom circumferential joint - Full UW-11(a) Type 1
Estimated weight: New = 288.5052 kg corr = 217.0500 kgCapacity: New = 731.3824 liters corr = 740.5048 litersID = 965.00 mmLength Lc = 1000.00 mmt = 12.00 mm
Design thickness, (at 70.00°C) UG-27(c)(1)
t = P*R/(S*E - 0.60*P) + Corrosion= 23.10*485.50/(1407*1.00 - 0.60*23.10) + 3.00= 11.0490 mm
Maximum allowable working pressure, (at 70.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t) - Ps= 1407*1.00*9.0003 / (485.50 + 0.60*9.0003) - 0.0000= 25.8001 kg/cm2
Maximum allowable pressure, (at 21.11°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t)= 1407*1.00*12.0000 / (482.50 + 0.60*12.0000)= 34.4834 kg/cm2
External Pressure, (Corroded & at 70.00°C) UG-28(c)
L/Do = 1288.7981/989.0000 = 1.3031Do/t = 989.0000/3.544509 = 279.0232
11/28
From table G: A = 0.000219From table CS-2 Metric: B = 220.6944 kg/cm²
Pa = 4*B/(3*(Do/t))= 4*220.6944/(3*(989.0000/3.544509))= 1.0546 kg/cm²
Design thickness for external pressure Pa = 1.0546 kg/cm2
= t + Corrosion = 3.544509 + 3.00 = 6.54 mm
Maximum Allowable External Pressure, (Corroded & at 70.00°C) UG-28(c)
L/Do = 1288.7981/989.00 = 1.3031Do/t = 989.00/9.0003 = 109.8857
From table G: A = 0.000897From table CS-2 Metric: B = 829.1452 kg/cm²
Pa = 4*B/(3*(Do/t))= 4*829.1452/(3*(989.00/9.0003))= 10.0607 kg/cm²
% Extreme fiber elongation - UCS-79(d)
= (50 * t / Rf) * (1 - Rf / Ro)= (50 * 12.00 / 488.5000) * (1 - 488.5000 / ∞)= 1.2282 %
12/28
Transition #1
ASME Section VIII Division 1, 2007 Edition Metric
Component: TransitionMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 22)Material is impact test exempt per UG-20(f)UCS-66 governing thickness = 12 mm
Internal design pressure: P = 23.1000 kg/cm2 @ 70.00°CExternal design pressure: Pe = 1.0546 kg/cm2 @ 70.00°C
Static liquid head:
Pth =0.0990 kg/cm2 (SG=1.0000, Hs=990.50 mm, Horizontal test head at small end)Pth =0.1015 kg/cm2 (SG=1.0000, Hs=1016.00 mm, Horizontal test head at large end)
Corrosion allowance: Inner C = 3.00 mm Outer C = 0.00 mm
Design MDMT = -28.89°C No impact test performedRated MDMT = -29.00°C Material is not normalized
Material is not produced to Fine Grain PracticePWHT is not performed
Radiography: Category A joints - Full UW-11(a) Type 1Circ. joint top/left - Full UW-11(a) Type 1Circ. joint right/bottom - Full UW-11(a) Type 1
Estimated weight: New = 148.2 kg corr = 111.5 kgCapacity: New = 385.4 liters corr = 390.0 litersAxial length = 500.00 mmLarge End ID = 1016.0000 mmSmall End ID = 965.0000 mmCone tc = 12.00 mm
Design thickness, (at 70.00°C) UG-32(g) (Large End)
t = P*D / (2*Cos(α)*(S*E - 0.60*P)) + C
= 23.1000*1022.0073 / (2*Cos(2.920)*(1407*1.00 - 0.60*23.1000))+ 2.9997
= 11.48 mmSmall End design thickness (t = 11.06 mm) does not govern.
MAWP, (Corroded at 70.00°C) UG-32(g) (Large End)
P = 2*S*E*t*Cos(α) / (D + 1.20*t*Cos(α)) - Ps
= 2*1407*1.00*9.0003*Cos(2.920) / (1022.0073 + 1.20*9.0003*Cos(2.920)) -0.0000
= 24.49 kg/cm2
Small End MAWP (25.7667 kg/cm²) does not govern.
MAP, (New at 21.11°C) UG-32(g) (Large End)
P = 2*S*E*t*Cos(α) / (D + 1.20*t*Cos(α)) - Ps
=
13/28
2*1407*1.00*12.0000*Cos(2.920) / (1016.0000 + 1.20*12.0000*Cos(2.920)) -0.0000
= 32.73 kg/cm2
Small End MAP (34.4393 kg/cm²) does not govern.
External Pressure, (Corroded & at 70.00°C) UG-33(f)
DL = 1040.03 mmLe = (L/2)*(1+Ds/DL)
= (500.0000/2)*(1+989.0312/1040.0311)= 487.74 mm
te = t * Cos(α)= 2.434713
Le/DL = 487.7408/1040.0311 = 0.4690DL/te = 1040.0311/2.434713 = 427.1678From table G: A = 0.000334From table CS-2 Metric: B = 337.8688 kg/cm²
Pa = 4*B/(3*(DL/te))= 4*337.8688/(3*(1040.0311/2.434713))= 1.0546 kg/cm²
Design thickness for external pressure Pa = 1.0546 kg/cm2
= te/Cos(α) + Corrosion = 2.434713/Cos(α) + 3.00 = 5.44 mm
Maximum Allowable External Pressure, (Corroded & at 70.00°C) UG-33(f)
te = t*Cos(α) = 8.99 mmLe/DL = 487.7408/1040.0311 = 0.4690DL/te = 1040.0311/8.9886 = 115.7059
From table G: A = 0.002488From table CS-2 Metric: B = 1098.7589 kg/cm²
Pa = 4*B/(3*(DL/te))= 4*1098.7589/(3*(1040.0311/8.9886))= 12.6615 kg/cm²
% Extreme fiber elongation - UCS-79(d)
= (50 * t / Rf) * (1 - Rf / Ro)= (50 * 12.0156 / 488.5078) * (1 - 488.5078 / ∞)= 1.2298 %
14/28
Cone juncture large end calculations, P =24.49 kg/cm2
Appendix 1-5(d)
LoadingArea check
required(∆ < α)
U-2(g)
analysisrequired
f1(kgf /cm)
QL
(kgf /cm)A
rL(cm2)
AeL
(cm2)Ring
area (cm2)Status
WeightCorroded No No -2.89 622.94 0 0.01 none OK
WeightNew No No -3.23 618.92 0 4.78 none OK
15/28
Cone large end calculations per Appendix 1-5(d), weight + pressure, corroded
f1 = -Wl/(π*2*Rm) + 12*Ml/(π*R
m2)
= -2,064.32/(π*2*20.2953) + 12*0/(π*20.29532)= -16.18835 lb/in (-2.890909 kg/cm)
P*RL/2 = 3,504.488 lb/in (625.8301 kg/cm)
|f1| <= P*RL/2 so a U-2(g) analysis is not required.
P/(Ss*E1) = 348.3916/(20,015.21*1) = 0.017406
From table 1-5.1 ∆ = 30°
As ∆ >= α no additional reinforcement is required.
Cone large end calculations per Appendix 1-5(d), weight + pressure, new
f1 = -Wl/(π*2*Rm) + 12*Ml/(π*R
m2)
= -2,302.8/(π*2*20.2362) + 12*0/(π*20.23622)= -18.11122 lb/in (-3.234294 kg/cm)
P*RL/2 = 3,483.916 lb/in (622.1563 kg/cm)
|f1| <= P*RL/2 so a U-2(g) analysis is not required.
P/(Ss*E1) = 348.3916/(20,015.21*1) = 0.017406
From table 1-5.1 ∆ = 30°
As ∆ >= α no additional reinforcement is required.
Cone juncture small end calculations P = 24.49 kg/cm2
Appendix 1-5(e)
LoadingArea check
required(∆ < α)
U-2(g)
analysisrequired
f2(kgf /cm)
Qs(kgf /cm)
Ars(cm2)
Aes(cm2)
Ringarea (cm2)
Status
WeightCorroded No No -2.68 591.92 0 0.47 none OK
WeightNew No No -2.92 588.01 0 4.17 none OK
16/28
Cone small end calculations per Appendix 1-5(e), weight + pressure, corroded
f2 = -Ws/(π*2*Rm) + 12*Ms/(π*R
m2)
= -1,818.51/(π*2*19.2913) + 12*0/(π*19.29132)= -15.00287 lb/in (-2.679206 kg/cm)
P*Rs/2 = 3,329.607 lb/in (594.5999 kg/cm)
|f2| <= P*Rs/2 so a U-2(g) analysis is not required.
P/(Ss*E1) = 348.3916/(20,015.21*1) = 0.017406
From table 1-5.2 ∆ = 11.59°
As ∆ >= α no additional reinforcement is required.
Cone small end calculations per Appendix 1-5(e), weight + pressure, new
f2 = -Ws/(π*2*Rm) + 12*Ms/(π*R
m2)
= -1,976.05/(π*2*19.2323) + 12*0/(π*19.23232)= -16.35258 lb/in (-2.920236 kg/cm)
P*Rs/2 = 3,309.034 lb/in (590.926 kg/cm)
|f2| <= P*Rs/2 so a U-2(g) analysis is not required.
P/(Ss*E1) = 348.3916/(20,015.21*1) = 0.017406
From table 1-5.2 ∆ = 11.59°
As ∆ >= α no additional reinforcement is required.
Cone large end calculations for external pressure of 1.05 kg/cm2
Appendix 1-8(b)
Loading
Area
check
req'd∆< α
U-2(g)
analysisreq'd
f1(kgf /cm)
QL
(kgf /cm)A
rL(cm2)
AeL
(cm2)Ring
area (cm2)Area
statusI's
(cm4)I'
(cm4)I
status
WeightCorroded Yes No 2.89 30.31 0.05 9.58 none OK 28.0244 0.7201 Not
OK
17/28
Cone large end calculations per Appendix 1-8(b), weight + external pressure
f1 = Wl/(π*2*Rm) + 12*Ml/(π*R
m2)
= 2,064.32/(π*2*20.2953) + 12*0/(π*20.29532)= 16.18835 lb/in (2.890909 kg/cm)
P*RL/2 = 153.5433 lb/in (27.4197 kg/cm)
f1 + P*RL/2 is in compression so a U-2(g) analysis is not required.
P/(Ss*E1) = 15/(20,015.21*1) = 0.000749
From table 1-8.1 ∆ = 1.87°
As ∆ < α reinforcement is required.
QL = P*R
L/2 + f1
= 153.5433 + 16.1884= 169.7317 lb/in (30.31061 kg/cm)
ArL = (k*Q
L*R
L*tan(α)/(Ss*E1))*[1 - 0.25*((P*R
L-Q
L)/Q
L)*(∆/α)]
= (1*169.7317*20.4724*tan(2.9196)/(20,015.209*1))*[1 - 0.25*((15*20.4724-169.7317)/169.7317)*(1.87/2.9196)]= 0.0077 in2 (0.04972084 cm2)
AeL
= 0.55*(DL*ts)0.5*(ts + tc/cos(α))
= 0.55*(40.9449*0.3543)0.5*(0.3543 + 0.3543/cos(2.9196))= 1.4856 in2 (9.584602 cm2)
AeL
>= ArL therefore the large end juncture is adequately reinforced.
M = -RL*tan(α)/2 + L
L/2 + (R
L2 - Rs
2)/(3*RL*tan(α))
= -20.4724*tan(2.9196)/2 + 246.8505/2 + (20.47242 - 19.46852)/(3*20.4724*tan(2.9196))= 135.7048
Lc = (L2 + (RL - Rs)2)0.5
= (19.6852 + (20.4724 - 19.4685)2)0.5
= 19.71062
ATL
= LL*ts/2 + Lc * tc/2 + As
= 246.8505*0.3543/2 + 19.7106 * 0.3543/2 + 0= 47.22676
FL = P*M + f1*tan(α)
= 15*135.7048 + 16.1884*tan(2.9196)= 2,036.397
B = 0.75*FL*D
L/A
TL= 0.75*2,036.3972*40.9449/47.2268= 1,324.144
From Table CS-2 Metric: A = 0.000093 (shell, 70°C)
I's = A*DL2*A
TL/10.9
= 9.269183E-05*40.94492*47.2268/10.9= 0.67329 in4 (28.0244 cm4)
18/28
The calculated I' for the combined shell-cone cross section is 0.0173 in4 (0.7201 cm4)
** The large end is not adequately stiffened per Appendix 1-8(b). **
Cone small end calculations for external pressure of 1.05 kg/cm2
Appendix 1-8(c)
LoadingU-2(g)
analysisreq'd
f2(kgf /cm)
Qs
(kgf /cm)A
rs(cm2)
Aes
(cm2)Ring
area (cm2)Area
statusI's
(cm4)I'
(cm4)I
status
WeightCorroded No 2.68 28.75 0.05 6.99 none OK 5.7998 0.6993 Not
OK
19/28
Cone small end calculations per Appendix 1-8(c), weight + external pressure
f2 = Ws/(π*2*Rm) + 12*Ms/(π*R
m2)
= 1,818.51/(π*2*19.2913) + 12*0/(π*19.29132)= 15.00287 lb/in (2.679206 kg/cm)
P*Rs/2 = 146.0138 lb/in (26.07508 kg/cm)
f2 + P*Rs/2 is in compression so a U-2(g) analysis is not required.
Qs = P*Rs/2 + f2= 146.0138 + 15.0029= 161.0166 lb/in (28.75429 kg/cm)
Ars = (k*Qs*Rs*tan(α)/(Ss*E1))= (1*161.0166*19.4685*tan(2.9196)/(20,015.209*1))= 0.007987545 in2 (0.05153244 cm2)
Aes = 0.55*(Ds*ts)0.5*((ts - t) + (tc - tr)/cos(α))= 0.55*(38.937*0.3543)0.5*((0.3543 - 0.1395476) + (0.3543 - 0.0389885)/cos(2.9196))= 1.083891 in2 (6.992831 cm2)
Aes >= Ars therefore the small end juncture is adequately reinforced.
N = Rs*tan(α)/2 + Ls/2 + (RL2 - Rs
2)/(6*Rs*tan(α))= 19.4685*tan(2.9196)/2 + 50.7401/2 + (20.47242 - 19.46852)/(6*19.4685*tan(2.9196))= 32.59735
Lc = (L2 + (RL - Rs)2)0.5
= (19.6852 + (20.4724 - 19.4685)2)0.5
= 19.71062
Ats = Ls*ts/2 + Lc * tc/2 + As
= 50.7401*0.3543/2 + 19.7106 * 0.3543/2 + 0= 12.48179
Fs = P*N + f2*tan(α)
= 15*32.5974 + 15.0029*tan(2.9196)= 489.7254
B = 0.75*Fs*Ds/Ats= 0.75*489.7254*38.937/12.4818= 1,145.776
From Table CS-2 Metric: A = 0.00008 (shell, 70°C)
I's = A*Ds2*Ats/10.9
= 8.026024E-05*38.9372*12.4818/10.9= 0.13934 in4 (5.7998 cm4)
The calculated I' for the combined shell-cone cross section is 0.0168 in4 (0.6993 cm4)
20/28
** The small end is not adequately stiffened per Appendix 1-8(c). **
MAP Cone juncture large end calculations, P =32.73 kg/cm2
Appendix 1-5(d)
LoadingArea check
required(∆ < α)
U-2(g)
analysisrequired
f1(kgf /cm)
QL
(kgf /cm)A
rL(cm2)
AeL
(cm2)Ring
area (cm2)Status
Pressure No No 0 831.46 0 0.01 none OK
21/28
Cone large end calculations per Appendix 1-5(d), pressure, new
f1 = -Wl/(π*2*Rm) + 12*Ml/(π*R
m2)
= -0/(π*2*20.2362) + 12*0/(π*20.23622)= 0 lb/in (0 kg/cm)
P*RL/2 = 4,655.961 lb/in (831.4597 kg/cm)
|f1| <= P*RL/2 so a U-2(g) analysis is not required.
P/(Ss*E1) = 465.5961/(20,015.21*1) = 0.023262
From table 1-5.1 ∆ = 30°
As ∆ >= α no additional reinforcement is required.
MAP Cone juncture small end calculations P = 32.73 kg/cm2
Appendix 1-5(e)
LoadingArea check
required(∆ < α)
U-2(g)
analysisrequired
f2(kgf /cm)
Qs(kgf /cm)
Ars(cm2)
Aes(cm2)
Ringarea (cm2)
Status
Pressure No No 0 789.72 0 0.72 none OK
Cone small end calculations per Appendix 1-5(e), pressure, new
f2 = -Ws/(π*2*Rm) + 12*Ms/(π*R
m2)
= -0/(π*2*19.2323) + 12*0/(π*19.23232)= 0 lb/in (0 kg/cm)
P*Rs/2 = 4,422.247 lb/in (789.723 kg/cm)
|f2| <= P*Rs/2 so a U-2(g) analysis is not required.
P/(Ss*E1) = 465.5961/(20,015.21*1) = 0.023262
From table 1-5.2 ∆ = 13.32°
As ∆ >= α no additional reinforcement is required.
22/28
Cylinder #2
ASME Section VIII Division 1, 2007 Edition Metric
Component: CylinderMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 22)Material is impact test exempt per UG-20(f)UCS-66 governing thickness = 12 mm
Internal design pressure: P = 23.1 kg/cm2 @ 70°CExternal design pressure: Pe = 1.05461 kg/cm2 @ 70°C
Static liquid head:
Pth =0.1015 kg/cm2 (SG=1.0000, Hs=1016.00 mm, Horizontal test head)
Corrosion allowance: Inner C = 3.00 mm Outer C = 0.00 mm
Design MDMT = -28.89°C No impact test performedRated MDMT = -29.00°C Material is not normalized
Material is not produced to Fine Grain PracticePWHT is not performed
Radiography: Longitudinal joint - Full UW-11(a) Type 1Top circumferential joint - Full UW-11(a) Type 1Bottom circumferential joint - Full UW-11(a) Type 1
Estimated weight: New = 1821.3922 kg corr = 1370.0725 kgCapacity: New = 4864.3921 liters corr = 4922.0098 litersID = 1016.00 mmLength Lc = 6000.00 mmt = 12.00 mm
Design thickness, (at 70.00°C) UG-27(c)(1)
t = P*R/(S*E - 0.60*P) + Corrosion= 23.10*511.00/(1407*1.00 - 0.60*23.10) + 3.00= 11.4732 mm
Maximum allowable working pressure, (at 70.00°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t) - Ps= 1407*1.00*9.0003 / (511.00 + 0.60*9.0003) - 0.0000= 24.5261 kg/cm2
Maximum allowable pressure, (at 21.11°C) UG-27(c)(1)
P = S*E*t/(R + 0.60*t)= 1407*1.00*12.0000 / (508.00 + 0.60*12.0000)= 32.7766 kg/cm2
External Pressure, (Corroded & at 70.00°C) UG-28(c)
L/Do = 6270.0020/1040.0000 = 6.0288Do/t = 1040.0000/7.174323 = 144.9614
From table G: A = 0.000114
23/28
From table CS-2 Metric: B = 114.6580 kg/cm²
Pa = 4*B/(3*(Do/t))= 4*114.6580/(3*(1040.0000/7.174323))= 1.0546 kg/cm²
Design thickness for external pressure Pa = 1.0546 kg/cm2
= t + Corrosion = 7.174323 + 3.00 = 10.17 mm
Maximum Allowable External Pressure, (Corroded & at 70.00°C) UG-28(c)
L/Do = 6270.0020/1040.00 = 6.0288Do/t = 1040.00/9.0003 = 115.5522
From table G: A = 0.000161From table CS-2 Metric: B = 161.6773 kg/cm²
Pa = 4*B/(3*(Do/t))= 4*161.6773/(3*(1040.00/9.0003))= 1.8656 kg/cm²
% Extreme fiber elongation - UCS-79(d)
= (50 * t / Rf) * (1 - Rf / Ro)= (50 * 12.00 / 514.0000) * (1 - 514.0000 / ∞)= 1.1673 %
24/28
Welded Cover #1
ASME Section VIII Division 1, 2007 Edition Metric
Component: Welded CoverMaterial specification: SA-516 70 (II-D Metric p. 18, ln. 22)Head is impact test exempt per UG-20(f)UCS-66 governing thickness = 14.25 mm.
Internal design pressure: P = 23.1000 kg/cm2 @ 70.00°CExternal design pressure: Pe = 1.0546 kg/cm2 @ 70.00°C
Static liquid head:
Pth =0.1015 kg/cm2 (SG=1.0000, Hs=1016.00 mm, Horizontal test head)
Corrosion allowance: Inner C = 3.00 mm Outer C = 0.00 mm
Design MDMT = -28.89°C No impact test performedRated MDMT = -29.00°C Material is not normalized
Material is not produced to Fine Grain PracticePWHT is not performed
Radiography: Category A joints - Seamless No RT
Estimated weight: New = 362.0 kg corr = 342.9 kgHead outside diameter = 1064.00 mmCover thickness = 57.00 mm
Factor C from Fig. UG-34, sketch (b-1)
Factor C = 0.17
Design thickness, (at 70 °C) UG-34 (c)(2)
t = d*Sqr(C*P/(S*E)) + Corrosion= 40.2362*Sqr(0.17*328.5592/(20,015.21*1)) + 0.1181= 2.2436 in (56.99 mm)
Maximum allowable working pressure, (at 70 °C )
P = (S*E/C)*(t/d)2 - Ps= (20,015.21*1/0.17)*(2.126/40.2362)2 - 0= 328.701 psi (23.11 kg/cm2)
Maximum allowable pressure, (At 21.11 °C )
P = (S*E/C)*(t/d)2
= (20,015.21*1/0.17)*(2.2441/40)2
= 370.573 psi (26.05 kg/cm2)
Design thickness for external pressure, (at 70 °C) UG-34(c)(2)
t = d*Sqr(C*Pe/(S*E)) + Corrosion= 40.2362*Sqr(0.17*15/(20,015.21*1)) + 0.1181= 0.5723 in (14.54 mm)
25/28
Maximum allowable external pressure, (At 70 °C )
P = (S*E/C)*(t/d)2
= (20,015.21*1/0.17)*(2.126/40.2362)2
= 328.701 psi (23.11 kg/cm2)
26/28
Flange #1
Flange description: 36 inch Class 600 WN A105Bolt Material: SA-193 B7 Bolt <= 64Flange rated MDMT: -48°C(UCS-66(b)(3): Coincident ratio = 0.2220956)(Flange rated MDMT = -105 °CBolts rated MDMT per Fig UCS-66 note (e) = -48 °C)Liquid static head on flange: 0 kg/cm2
ASME B16.47 flange rating MAWP: 98.75 kg/cm2 @ 70°CASME B16.47 flange rating MAP: 104.05 kg/cm2 @ 21.11°CASME B16.47 flange hydro test: 156.43 kg/cm2 @ 21.11°C
27/28
Flange #3
Flange description: 40 inch Class 600 WN A105Bolt Material: SA-193 B7 Bolt <= 64Flange rated MDMT: -48°C(UCS-66(b)(3): Coincident ratio = 0.2220956)(Flange rated MDMT = -105 °CBolts rated MDMT per Fig UCS-66 note (e) = -48 °C)Liquid static head on flange: 0 kg/cm2
ASME B16.47 flange rating MAWP: 98.75 kg/cm2 @ 70°CASME B16.47 flange rating MAP: 104.05 kg/cm2 @ 21.11°CASME B16.47 flange hydro test: 156.43 kg/cm2 @ 21.11°C
28/28