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PV designTRANSCRIPT
Design of Pressure VesselDesign of Cone under Internal & External Pressure
Material Design Internal Pressure Design External Pressure Design Temperature All. Stress at Design Temp. Joint Efficiency Radiography Corrosion Allowance Polishing Allowance Thinning Allowance Type of Cone Provided Thickness O.D. at Large end I.D. at Large end O.D. at Small end I.D. at Small end Half Apex Angle Knuckle Radius Flare radius
MATL Pi Pe Temp S E CA PA TA Toriconical t OD ID ODI IDI ? KR FR
SA 515 Gr.60 173.3655 14.25 401 17100 0.85 Spot + Tee 0.06 0.00 0.08
psi psi F psi
12.166 1 205 1202.25
kg / cm kg / cm C kg / cm
inch inch inch
1.6 0 1.9091
mm mm mm
0.55 54.02 52.91 25.04 23.94 45 3.54 0.00
inch inch inch inch inch
inch inch
14 1372 1344 636 608 45 90 0
mm mm mm mm mm
mm mm
Internal Pressure Calculation Thickness of ConeO.D. Of Large Conical Portion I.D. Of Large Conical Portion O.D. Of Small Conical Portion I.D. Of Small Conical Portion Inside Crown Radius Calculated Thickness Min. Required Thickness Dto Dti Dbo Dbi CR tc tm 51.62 50.84 25.04 24.26 35.95 0.43 0.49 inch inch inch inch inch inch inch 1311.08 1291.28 636.00 616.20 913.07 10.97 12.57 mm mm mm mm mm mm mm
Thickness at KnuckleFactor Calculated Thickness Min. Required Thickness M tkc tkm 1.55 0.33 0.47 inch inch inch 39.28 8.43 11.94 mm mm mm
External Pressure Calculation
Cone Length Design length of Cone Required Thickness L / Do Ratio Do / (te x Cos ? ) Ratio Geometric Chart Factor From Fig. G Material Chart Factor Fig No. CS2 Maximum Allowable Working Pressure (Pa)
L Le tr 11.94 / 51.62 51.62 / (0.13 x Cos (45)) A B MAWP
13.28894115 11.93501825 0.13 0.2312 580.1272 0.000475153 6591.578896 15.15
inch inch inch
337.54 303.15 3.1961
mm mm mm
psi psi
463.43 1.07
kg / cm kg / cm
Material SA 106 Gr.B SA 240 Gr.304 High SA 240 Gr.304 L High SA 240 Gr.304 L Low SA 240 Gr.304 Low SA 240 Gr.316 High SA 240 Gr.316 L High SA 240 Gr.316 L Low
0 17.1 20 16.7 16.7 20 20 16.7 16.7
100 17.1 20 16.7 16.7 20 20 16.7 16.7
150 17.1 20 16.7 16.7 20 20 16.7 16.7
200 17.1 20 16.7 14.3 16.7 20 16.7 14.2
250 17.1 20 16.7 14.3 16.7 20 16.7 14.2
SA 240 Gr.316 Low SA 515 Gr.60 SA 516 Gr.70 SA 53 Gr.B
20 17.1 20 17.1
20 17.1 20 17.1
20 17.1 20 17.1
17.3 17.1 20 17.1
17.3 17.1 20 17.1
Mate
KR FR OD ODI DI DS ? L t Toriconical
3.54 0.00 54.02 25.04 51.62 25.04 45 13.29 0.55 11.93501825
Conical Toriconical
9.724560434 11.93501825
/ C F kg / cm psi
mm inch 0.7 0.85 1 0.85 Nil Spot + Tee Full Spot + Tee 400 500 401 17.1 17.1 17.1
#REF! #REF!
Material SA 515 Gr.60
Stress 1202.248923
STRESS VALUE FOR MATERIALS300 17.1 18.9 16.7 12.8 15 20 16.7 12.7 400 17.1 18.3 15.8 11.7 13.8 19.3 15.7 11.7 500 17.1 17.5 14.7 10.9 12.9 18 14.8 10.9 600 17.1 16.6 14 10.4 12.3 17 14 10.4 650 17.1 16.2 13.7 10.2 12 16.6 13.7 10.2 700 15.6 15.8 13.5 10 11.7 16.3 13.5 10 750 13 15.5 16.3 9.3 11.5 16.1 13.2 9.8
15.6 17.1 20 17.1
14.3 17.1 20 17.1
13.3 17.1 20 17.1
12.6 16.4 19.4 17.1
12.3 15.8 18.8 17.1
12.1 15.3 18.1 15.6
11.9 13 14.8 13
0.70 0.85 1.00
Nil 10 % + All TEE 100 %
10 % Torispherical 2: 1 Ellipsoidal 6 % Torispherical Flat Bottom Hemispherical
#REF! #REF! #REF! #REF! #REF!
Dish type
#REF! Web Width b #REF! #REF! #REF! #REF!
#REF! Flange Width a #REF! #REF! #REF! #REF! Thickness #REF! #REF! #REF! #REF!
Angle Channel Flat Bar T Section
#REF!
#REF!
inch4
#REF!
L/ Do Do / t
0.231221495 580.1272
Do / t
L / Do
A
4
2.2 2.6 3 4 5 7 10 30 50 1.4 1.6 2 2.4 3 4 5 7 10 30 50 1.2 1.6 2 2.4 3 4 5 7 10 30 50 0.74 0.8 1 1.6 2 2.4 3 4 5 7 10 20 50 0.56 0.7 1
0.0959 0.0884 0.0839 0.0783 0.0759 0.0739 0.0729 0.072 0.072 0.0929 0.0802 0.0658 0.0586 0.0532 0.0494 0.0478 0.0465 0.0459 0.0454 0.0453 0.0837 0.584 0.0469 0.0411 0.0369 0.0341 0.0329 0.032 0.0316 0.0312 0.0312 0.0968 0.0875 0.066 0.0372 0.0285 0.0242 0.0212 0.0192 0.0184 0.0179 0.0176 0.0174 0.0174 0.0964 0.072 0.0463
5
6
8
10
1.2 2 2.4 3 4 5 7 10 16 50 15 0.34 0.4 0.6 1 1.2 2 2.4 3 4 5 6 10 40 50 0.24 0.4 0.6 0.8 1 1.2 2 3 3.4 4 5 7 10 40 50 0.2 0.3 0.5 0.8 1 1.2 2 3 3.4 4
0.0371 0.0201 0.0165 0.0139 0.0124 0.0118 0.0114 0.0112 0.0111 0.0111 0.0968 0.077 0.0453 0.0244 0.0197 0.0109 0.0089 0.00691 0.00573 0.00534 0.00516 0.00497 0.0049 0.0049 0.0982 0.0477 0.0286 0.0203 0.0156 0.0127 0.00713 0.00446 0.00388 0.00342 0.00308 0.00287 0.0028 0.00275 0.00275 0.0877 0.0484 0.025 0.0143 0.0111 0.00902 0.00508 0.00323 0.00278 0.00235
20
25
4.4 5 6 7 10 30 50 30 0.16 0.2 0.3 0.4 0.6 0.8 1 1.2 2 3 4 4.4 5 6 7 10 30 50 0.12 0.2 0.3 0.4 0.6 0.8 1 1.2 2 4 5 6 7 8 10 16 40 50 0.088 0.1 0.2 0.3 0.4 0.6
0.00219 0.00204 0.00191 0.00186 0.0018 0.00176 0.00176 0.0904 0.0635 0.0357 0.0246 0.015 0.0108 0.00838 0.00683 0.00388 0.00246 0.00177 0.00161 0.00147 0.00136 0.0013 0.00125 0.00122 0.00122 0.0864 0.0385 0.0222 0.0155 0.00958 0.00691 0.00539 0.00441 0.00252 0.00117 0.000912 0.000804 0.000756 0.000731 0.000708 0.000692 0.000688 0.000688 0.093 0.0782 0.0263 0.0154 0.0108 0.00677
40
50
0.8 1 2 4 5 6 7 8 10 12 16 40 50 60 0.074 0.1 0.14 0.2 0.4 0.6 0.8 1 2 3 4 6 7 8 10 14 40 50 0.054 0.07 0.09 0.1 0.14 0.2 0.24 0.4 0.6 0.8 1 2 4 6.6 8 10 14 30 50
0.0049 0.00384 0.00181 0.000842 0.000652 0.000548 0.000502 0.000478 0.000458 0.000449 0.000444 0.00044 0.00044 0.0954 0.0556 0.0323 0.0193 0.00812 0.0051 0.00371 0.00291 0.00138 0.000886 0.000645 0.000409 0.000364 0.000341 0.000322 0.00031 0.000306 0.000306 0.099 0.0608 0.0391 0.0328 0.0196 0.012 0.0095 0.00516 0.00328 0.00239 0.00188 0.000895 0.000424 0.000241 0.000205 0.000186 0.000176 0.000172 0.000172
80
100
0.05 0.07 0.1 0.14 0.2 0.4 0.5 0.8 1 2 4 6 8 10 14 25 50 0.05 0.06 0.08 0.1 0.14 0.2 0.4 0.6 0.8 1 2 4 6 9 10 12 14 20 40 50 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 1 2 4
0.0741 0.0398 0.022 0.0133 0.00831 0.00364 0.00283 0.0017 0.00134 0.000641 0.000305 0.000195 0.000142 0.000124 0.000114 0.00011 0.00011 0.048 0.0344 0.021 0.0148 0.00917 0.00578 0.00257 0.00165 0.00121 0.000955 0.000459 0.00022 0.000141 0.0000904 0.0000837 0.000077 0.000074 0.0000713 0.0000704 0.0000704 0.0338 0.0244 0.0151 0.0108 0.00833 0.00569 0.00431 0.00194 0.00125 0.000726 0.000349 0.000168
125
150
6 8 10 12 16 20 40 50 200 0.05 0.06 0.08 0.1 0.14 0.2 0.3 0.5 0.8 1 2 4 6 8 10 12 14 16 20 40 50 0.05 0.06 0.08 0.1 0.14 0.2 0.4 0.6 0.8 1 2 4 6 8 10 12 14 16 20 40 50
0.000108 0.0000787 0.0000619 0.0000553 0.000051 0.0000498 0.0000489 0.0000489 0.0196 0.0143 0.00909 0.00659 0.00421 0.00272 0.00171 0.000976 0.000592 0.000469 0.000227 0.00011 0.0000711 0.000052 0.0000403 0.0000338 0.0000309 0.0000295 0.0000283 0.0000275 0.0000275 0.0129 0.00955 0.00617 0.00452 0.00293 0.00191 0.000881 0.000572 0.000422 0.000335 0.000163 0.0000789 0.0000513 0.0000377 0.0000293 0.0000238 0.000021 0.0000196 0.0000184 0.0000176 0.0000176
250
300
0.05 0.06 0.08 0.1 0.12 0.2 0.4 0.6 0.8 1 2 4 6 8 10 14 16 20 40 50 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 0.8 1 2 4 6 8 10 14 16 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 0.8 1
0.00923 0.0069 0.00452 0.00334 0.00264 0.00143 0.000666 0.000433 0.000321 0.000254 0.000124 0.0000602 0.0000393 0.0000287 0.0000225 0.0000156 0.0000142 0.000013 0.0000123 0.0000122 0.00549 0.00417 0.00278 0.00208 0.00166 0.00118 0.000914 0.000429 0.00028 0.000207 0.000165 0.0000808 0.0000393 0.0000257 0.0000189 0.0000148 0.0000102 0.00000882 0.0037 0.00284 0.00192 0.00145 0.00116 0.00083 0.000645 0.000305 0.000199 0.000148 0.000118
400
500
2 4 6 8 10 12 600 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 0.8 1 2 4 6 8 8.4 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 0.8 1 2 4 5 5.6 0.05 0.06 0.07 0.09 0.12 0.16 0.2 0.4 0.7 1 2 4
0.0000579 0.0000282 0.0000185 0.0000137 0.0000107 0.0000088 0.0027 0.00208 0.00142 0.00108 0.000868 0.000624 0.000486 0.000231 0.000151 0.000112 0.0000894 0.0000439 0.0000216 0.0000141 0.0000104 0.00000988 0.00165 0.00129 0.000892 0.000682 0.000551 0.000398 0.000312 0.000149 0.000098 0.0000728 0.000058 0.0000286 0.000014 0.0000112 0.00000992 0.00113 0.000891 0.000733 0.000541 0.000388 0.000282 0.000221 0.000106 0.0000596 0.0000414 0.0000204 0.0000101
800
1000
4.2
0.00000957
Material Chart Factor Fig No. CS2 Selected Matl SA 515 Gr.60 Material Chart Factor Fig No. CS2 Design Temp 401
Table No. Temp F 300 A 0.0000176 0.000783 0.0008 0.0009 0.001 0.002 0.003 0.004 0.005 0.025 0.1 0.0000194 0.000675 0.0009 0.001 0.0025 0.003 0.008 0.01 0.015 0.02 0.028 0.1 0.0000213 0.000564
CS 2 B psi 250 11300 11400 11800 12300 15000 16200 16800 17200 17600 17600 250 9000 9650 10000 12000 12400 14200 14600 15500 16100 16900 16900 250 6800
500
700
0.001 0.003 0.01 0.0264 0.1 800 0.0000223 0.000505 0.001 0.0015 0.002 0.003 0.0319 0.1 0.0000237 0.000428 0.001 0.0015 0.002 0.003 0.008 0.03 0.1
8000 10100 12100 13800 13800 250 5710 7100 7950 8400 8900 12400 12400 250 4490 6000 6800 7350 7900 9200 11100 11100
900
Table No. Temp F 100 A 0.0000142 0.000463 0.0015 0.002 0.003 0.01 0.0631 0.1 0.0000159 0.000391 0.002 0.003 0.004 0.005 0.01 0.0538 0.1 0.000017 0.000338
HA 1 B psi 200 6500 10600 11500 12500 14000 15800 15800 200 5000 8200 9100 9690 10000 10600 11600 11600 200 4000
400
700
0.0004 0.0005 0.0006 0.001 0.002 0.005 0.006 0.01 0.0542 0.1 900 0.0000181 0.000315 0.0004 0.0005 0.0015 0.003 0.01 0.02 0.0784 0.1 0.00002 0.000283 0.001 0.002 0.005 0.01 0.02 0.0488 0.1
4330 4710 5000 5760 6670 7650 7800 8100 9000 9000 200 3500 3860 4160 5480 6120 7070 7420 7940 7940 200 2840 4160 4830 5540 5950 6350 6700 6700
1200
Table No. Temp F 100 A 0.0000184 0.000605 0.0015 0.002 0.0025 0.003 0.004 0.005 0.007 0.01 0.02 0.0726 0.1
HA 2 B psi 250 8400 11100 11700 12200 12600 13000 13300 13600 14000 14600 15600 15600
400
0.0000199 0.000585 0.001 0.0015 0.002 0.003 0.004 0.005 0.006 0.01 0.0574 0.1 0.0000218 0.000533 0.0007 0.001 0.003 0.004 0.01 0.05 0.0592 0.1 0.0000228 0.00051 0.0006 0.001 0.003 0.004 0.01 0.0522 0.1 0.0000247 0.00046 0.001 0.002 0.003 0.004 0.005 0.01 0.07 0.1
250 7500 8700 9700 10400 11200 11700 12000 12200 12700 14300 14300 250 6250 7000 7800 10000 10500 11400 12700 12900 12900 250 5660 6100 7200 9050 9400 10300 11700 11700 250 4660 6000 7200 7800 8200 8400 8950 10000 10000
700
900
1200
Table No. Temp F 100 A 0.0000139
HA 3 B psi 200
0.000535 0.002 0.006 0.04 0.1 400 0.0000158 0.000361 0.001 0.01 0.0283 0.1 0.0000165 0.000319 0.001 0.01 0.0281 0.1 0.0000174 0.000275 0.0015 0.01 0.03 0.1
7550 10100 12400 15000 15000 200 4630 5500 8150 9750 9750 200 3890 4750 7100 8450 8450 200 3170 4270 5900 7200 7200
600
800
Table No. Temp F 100 A 0.0000143 0.0006 0.007 0.01 0.02 0.05 0.1 0.0000153 0.000475 0.005 0.006 0.01 0.0458 0.1 0.0000154 0.00041 0.007
HA 4 B psi 200 8400 13300 14000 15200 16200 16200 200 6250 9950 10200 11000 12600 12600 200 5380 8950
300
400
0.01 0.0429 0.1 600 0.0000169 0.000363 0.005 0.01 0.0456 0.1 0.0000176 0.000317 0.005 0.01 0.0468 0.1
9400 10600 10600 200 4380 7200 7900 9000 9000 200 3630 5950 6600 7700 7700
800
#REF! #REF!
TERIALS800 10.8 15.2 13 9.7 11.2 15.9 12.9 9.6 850 8.7 14.9 0 0 11 15.7 12.7 9.4 900 5.9 14.5 0 0 10.8 15.5 0 0 950 0 14.3 0 0 10.6 15.4 0 0 1000 0 14 0 0 10.4 15.3 0 0 1050 0 12.4 0 0 10.1 15.1 0 0 1100 0 9.8 0 0 9.8 12.4 0 0 1150 0 7.7 0 0 7.7 9.8 0 0 1200 0 6.1 0 0 6.1 7.4 0 0 1250 0 4.7 0 0 4.7 5.5 0 0
11.8 10.8 12 10.8
11.6 8.7 9.3 8.7
11.6 5.9 6.7 5.9
11.4 4 4 0
11.3 2.5 2.5 0
11.2 0 0 0
11.1 0 0 0
9.8 0 0 0
7.4 0 0 0
5.5 0 0 0
y #REF! #REF! #REF! #REF!
I #REF! #REF! #REF! #REF!
Area #REF! #REF! #REF! #REF!
Geometric Chart Factor
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0.2 0.3
0.0877 0.0484
0.2 0.3
0.0635 0.0357
0.2 0.3
0.0385 0.0222
0.2 0.3
0.0263 0.0154
0.2 0.4
0.0193 0.00812
0.2 0.24
0.012 0.0095
0.2 0.4
0.00831 0.00364
0.2 0.4
0.00578 0.00257
0.2 0.4
0.00431 0.00194
0.2 0.3
0.00272 0.00171
0.2 0.4
0.00191 0.000881
0.2 0.4
0.00143 0.000666
0.2 0.4
0.000914 0.000429
0.2 0.4
0.000645 0.000305
0.2 0.4
0.000486 0.000231
0.2 0.4
0.000312 0.000149
0.2 0.4
0.000221 0.000106
A 0.0000176 0.000783
B psi 250 11300
Temp F 300 500 700 800 900 1000
B psi 6855.650416 6332.736514 5727.684958 5372.393712 4614.478323 0
Dt 401
Temp F
B psi
300 6855.65 500 6332.737
0.0000194 0.000675
250 9000
0.0000213 0.000564
250 6800
0.0000223 0.000505
250 5710
0.000428 0.001
4490 6000
A 0.000463 0.0015
B psi 6500 10600
Temp F 100 400 700 900 1200 1300
B psi 6548.050965 5167.365326 4615.582837 4085.460134 3193.755173 0
Dt 401
Temp F
B psi
400 5167.365 700 4615.583
0.000391 0.002
5000 8200
0.0004 0.0005
4330 4710
0.0004 0.0005
3860 4160
0.000283 0.001
2840 4160
A 0.0000184 0.000605
B psi 250 8400
Temp F 100 400 700 900 1200 1300
B psi 6595.959822 6090.713133 5571.049039 5273.053727 4697.602827 0
Dt 401
Temp F
B psi
400 6090.713 700 5571.049
0.0000199 0.000585
250 7500
0.0000218 0.000533
250 6250
0.0000228 0.00051
250 5660
0.00046 0.001
4660 6000
A 0.0000139
B psi 200
Temp F 100
B psi 6705.876663
Dt 401
Temp F 400
B psi 4785.42
0.000535
7550
400 600 800 900
4785.420092 4087.198099 3349.729564 0
600 4087.198
0.000361 0.001
4630 5500
0.000319 0.001
3890 4750
0.000275 0.0015
3170 4270
A 0.0000143 0.0006
B psi 200 8400
Temp F 100 300 400 600 800 1300
B psi 6652.104662 6250.125414 5415.295533 4448.206281 3708.350595 0
Dt 401
Temp F
B psi
400 5415.296 600 4448.206
0.000475 0.005
6250 9950
0.00041 0.007
5380 8950
0.000363 0.005
4380 7200
0.000317 0.005
3630 5950
1300 0 3.7 0 0 3.7 4.1 0 0
1350 0 2.9 0 0 2.9 3.5 0 0
1400 0 2.3 0 0 2.3 2.3 0 0
1450 0 1.8 0 0 1.8 1.7 0 0
1500 0 1.4 0 0 1.4 1.3 0 0 CS2 HA1 HA3 HA3 HA1 HA2 HA4 HA4
4.1 0 0 0
3.1 0 0 0
2.3 0 0 0
1.7 0 0 0
1.3 0 0 0
HA2 CS2 CS2 CS2
Geometric Chart Factor
Do / t
A
Value of A for Do / t >= 4
4 5 6 8 10 15 20 25 30 40 50 60 80 100 125 150 200 250 300 400 500 600 800 1000
0 0 0 0 0 0 0 0.075429953 0.054820424 0.033410896 0.022896857 0.017554718 0.010048657 0.007580978 0.005278895 0.003940025 0.002404663 0.001749365 0.001310734 0.000838288 0.000591923 0.000446193 2.865544819E-04 2.030476406E-04
500 600
0.000591923 0.000446193
0.000475153
Table No.
B psi 6591.578896 5165.526051 6088.980919 4781.928982 5410.460086
Min A Value 0.00001 0.00001 0.00001 0.00001 0.00001
CS 2 HA 1 HA 2 HA 3 HA 4
SA 240 GR 304 SA 240 GR 304 L SA 240 GR 316 SA 240 GR 316 L SA 240 GR 316 Ti SA 515 GR 55 SA 515 GR 60 SA 515 GR 65
HA 1 HA 3 HA 2 HA 4 HA 2 CS 2 CS 2 CS 2
SA 515 GR 70 SA 516 GR 55 SA 516 GR 60 SA 516 GR 65 SA 516 GR 70
CS 2 CS 2 CS 2 CS 2 CS 2
Value of A for Do / t < 4
Value of A
Actual Value of A
3.26848E-06
0.000475153
0.000475153
Value of A 0.000475153
Value of B psi 6591.578896
Table No.
Allowable Pressure Pa 15.14973209
CS2
Design of Pressure VesselDesign of Dish under Internal Pressure
Material Design Pressure Design Temperature Joint Efficiency Corrosion Allowance Polishing Allowance Thinning Allowance Radiography Dish Type Dish I/D Crown Radius Knuckle Radius Provided Thickness Stress at Design temp Calc Thickness Minimum Thickness (tcal + CA + PA + TA) Max All Working Pressure (Corroded Condition)
MATL P Temp E CA PA TA
SA 516 Gr.70 142.5 212 1.00 0.06 0.00 0.04 Full Torispherical 49.21 49.21 4.92 0.39 20000 0.27 0.37 176.47
psi F
10 100
kg / cm C
inch inch inch
1.5 0 1
mm mm mm
I/D CR KR t S tc tm MAWP
inch inch inch inch psi inch inch psi
1250 1250 125 10 1406.139 6.862702 9.362702 12.41
mm mm mm mm kg / cm
kg / cm
Material SA 516 Gr.70
Stress 1406.139091
STRESSMaterial SA 106 Gr.B SA 240 Gr.304 High SA 240 Gr.304 L High SA 240 Gr.304 L Low SA 240 Gr.304 Low SA 240 Gr.316 High SA 240 Gr.316 L High SA 240 Gr.316 L Low SA 240 Gr.316 Low SA 515 Gr.60 SA 516 Gr.70 SA 53 Gr.B 0 17.1 20 16.7 16.7 20 20 16.7 16.7 20 17.1 20 17.1 100 17.1 20 16.7 16.7 20 20 16.7 16.7 20 17.1 20 17.1 150 17.1 20 16.7 16.7 20 20 16.7 16.7 20 17.1 20 17.1 200 17.1 20 16.7 14.3 16.7 20 16.7 14.2 17.3 17.1 20 17.1 250 17.1 20 16.7 14.3 16.7 20 16.7 14.2 17.3 17.1 20 17.1 300 17.1 18.9 16.7 12.8 15 20 16.7 12.7 15.6 17.1 20 17.1 400 17.1 18.3 15.8 11.7 13.8 19.3 15.7 11.7 14.3 17.1 20 17.1
L R
1250 125
L/R 1 1.25 1.5 1.75 2 2.25 2.5 2.75 3 3.25 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 13 14 15 16 16.67
M 1 1.03 1.06 1.08 1.1 1.13 1.15 1.17 1.18 1.2 1.22 1.25 1.28 1.31 1.34 1.36 1.39 1.41 1.44 1.46 1.48 1.5 1.52 1.54 1.56 1.58 1.6 1.62 1.63 1.69 1.72 1.75 1.77
mm inch
kg / cm psi C F 1.00 Full 0.7 Nil 0.85 Spot + Tee 1 Full
212
200 250 212
20 20 20
STRESS VALUE FOR MATERIALS500 17.1 17.5 14.7 10.9 12.9 18 14.8 10.9 13.3 17.1 20 17.1 600 17.1 16.6 14 10.4 12.3 17 14 10.4 12.6 16.4 19.4 17.1 650 17.1 16.2 13.7 10.2 12 16.6 13.7 10.2 12.3 15.8 18.8 17.1 700 15.6 15.8 13.5 10 11.7 16.3 13.5 10 12.1 15.3 18.1 15.6 750 13 15.5 16.3 9.3 11.5 16.1 13.2 9.8 11.9 13 14.8 13 800 10.8 850 8.7 900 5.9 950 0 1000 0 14 0 0 10.4 15.3 0 0 11.3 2.5 2.5 0 1050 0 12.4 0 0 10.1 15.1 0 0 11.2 0 0 0
15.2 14.9 14.5 14.3 13 9.7 11.2 0 0 11 0 0 0 0
10.8 10.6
15.9 15.7 15.5 15.4 12.9 12.7 9.6 9.4 0 0 0 0
11.8 11.6 11.6 11.4 10.8 12 10.8 8.7 9.3 8.7 5.9 6.7 5.9 4 4 0
10 10.5 10
1.54 1.56 1.54
P D R S E L M t
142.5 psi 49.21 inch 24.61 20000 psi 1.00 49.21 1.54 0.33
2: 1 Semi Ellipsoidal Hemispherical Torispherical Torispherical Min. Thickness MAWP
Min. Thickness I/D O/D 0.175444886 0.174202806 0.087722443 0.270185125 0.08741082 0.268709864
MAWP I/D O/D 271.6305824 275.3705354 542.5243338 176.4675352 549.983824 177.6746568
I/D 0.270185125 inch 176.4675352 psi
Dish I/D Dish O/D
1100 0 9.8 0 0 9.8 12.4 0 0 11.1 0 0 0
1150 0 7.7 0 0 7.7 9.8 0 0 9.8 0 0 0
1200 0 6.1 0 0 6.1 7.4 0 0 7.4 0 0 0
1250 0 4.7 0 0 4.7 5.5 0 0 5.5 0 0 0
1300 0 3.7 0 0 3.7 4.1 0 0 4.1 0 0 0
1350 0 2.9 0 0 2.9 3.5 0 0 3.1 0 0 0
1400 0 2.3 0 0 2.3 2.3 0 0 2.3 0 0 0
1450 0 1.8 0 0 1.8 1.7 0 0 1.7 0 0 0
1500 0 1.4 0 0 1.4 1.3 0 0 1.3 0 0 0
Design of Pressure VesselDesign of Shell under Internal Pressure
Material Design Pressure Design Temperature Corrosion Allowance Polishing Allowance Joint Efficiency Radiography Shell I/D Provided Thickness Stress at Design temp Calc Thickness Minimum Thickness (tcal + CA + PA) Max All Working Press (Corroded Condition)
MATL P Temp CA PA E I/D t S tc tm MAWP
SA 516 Gr.70 142.5 212 0.06 0.00 0.85 Spot + Tee 49.21 0.39 20000 0.21 0.27 229.33
psi F inch inch
10 100 1.5 0
kg / cm C mm mm
inch inch psi inch inch psi
1250 10 1406.139 5.27 6.77 16.12
mm mm kg / cm
kg / cm
Material SA 516 Gr.70
Stress 1406.139091
STRESS VMaterial SA 106 Gr.B SA 240 Gr.304 High SA 240 Gr.304 L High SA 240 Gr.304 L Low SA 240 Gr.304 Low SA 240 Gr.316 High SA 240 Gr.316 L High SA 240 Gr.316 L Low SA 240 Gr.316 Low SA 515 Gr.60 SA 516 Gr.70 SA 53 Gr.B 0 17.1 20 16.7 16.7 20 20 16.7 16.7 20 17.1 20 17.1 100 17.1 20 16.7 16.7 20 20 16.7 16.7 20 17.1 20 17.1 150 17.1 20 16.7 16.7 20 20 16.7 16.7 20 17.1 20 17.1 200 17.1 20 16.7 14.3 16.7 20 16.7 14.2 17.3 17.1 20 17.1 250 17.1 20 16.7 14.3 16.7 20 16.7 14.2 17.3 17.1 20 17.1 300 17.1 18.9 16.7 12.8 15 20 16.7 12.7 15.6 17.1 20 17.1 400 17.1 18.3 15.8 11.7 13.8 19.3 15.7 11.7 14.3 17.1 20 17.1
mm inch
kg / cm psi C F 0.85 0.7 Nil 0.85 Spot + Tee 1 Full Spot + Tee
212
200 250 212
20 20 20
STRESS VALUE FOR MATERIALS500 17.1 17.5 14.7 10.9 12.9 18 14.8 10.9 13.3 17.1 20 17.1 600 17.1 16.6 14 10.4 12.3 17 14 10.4 12.6 16.4 19.4 17.1 650 17.1 16.2 13.7 10.2 12 16.6 13.7 10.2 12.3 15.8 18.8 17.1 700 15.6 15.8 13.5 10 11.7 16.3 13.5 10 12.1 15.3 18.1 15.6 750 13 15.5 16.3 9.3 11.5 16.1 13.2 9.8 11.9 13 14.8 13 800 10.8 850 8.7 900 5.9 950 0 1000 0 14 0 0 10.4 15.3 0 0 11.3 2.5 2.5 0 1050 0 12.4 0 0 10.1 15.1 0 0 11.2 0 0 0
15.2 14.9 14.5 14.3 13 9.7 11.2 0 0 11 0 0 0 0
10.8 10.6
15.9 15.7 15.5 15.4 12.9 12.7 9.6 9.4 0 0 0 0
11.8 11.6 11.6 11.4 10.8 12 10.8 8.7 9.3 8.7 5.9 6.7 5.9 4 4 0
P D R S E
142.5 psi 49.21 inch 24.61 20000 psi 0.85
t
0.33 Min. Thickness I/D O/D 0.207301288 0.205569422 I/D 0.207301288 inch 229.328678 psi MAWP I/D O/D 229.328678 232.4646075
Min. Thickness MAWP
Shell I/D Shell O/D
1100 0 9.8 0 0 9.8 12.4 0 0 11.1 0 0 0
1150 0 7.7 0 0 7.7 9.8 0 0 9.8 0 0 0
1200 0 6.1 0 0 6.1 7.4 0 0 7.4 0 0 0
1250 0 4.7 0 0 4.7 5.5 0 0 5.5 0 0 0
1300 0 3.7 0 0 3.7 4.1 0 0 4.1 0 0 0
1350 0 2.9 0 0 2.9 3.5 0 0 3.1 0 0 0
1400 0 2.3 0 0 2.3 2.3 0 0 2.3 0 0 0
1450 0 1.8 0 0 1.8 1.7 0 0 1.7 0 0 0
1500 0 1.4 0 0 1.4 1.3 0 0 1.3 0 0 0
Design of Pressure VesselDesign of Dish under External Pressure
Material Design Pressure Design Temperature Dish Type Shell I/D Crown Radius Knuckle Radius Dish O/D Enter Thickness Outside Crown Radius Geometric Chart Factor From Fig. UGO-28.0 Material Chart Factor Fig No. HA 1 Maximum Allowable Working Pressure (Pa)
MATL P Temp
SA 240 GR 304 9.69 212 10 % Torispherical 98.43 98.43 9.84 99.06 0.31 99.06
psi F
0.68 100
kg / cm C
I/D CR KR Do t Ro
inch inch inch inch inch inch
2500 2500 250 2516 8 2516
mm mm mm mm mm mm
A B MAWP
0.000397456 5368.219287 17.07 psi psi 376.717143 1.19782875 kg / cm
Ma
Material Chart Fa
/ C F kg / cm psi
mm inch
200 300
Plate
SA 240 GR 304 SA 240 GR 304 L SA 240 GR 316 SA 240 GR 316 L SA 240 GR 316 Ti SA 515 GR 55 SA 515 GR 60 SA 515 GR 65 SA 515 GR 70 SA 516 GR 55 SA 516 GR 60 SA 516 GR 65 SA 516 GR 70
HA 1 HA 3 HA 2 HA 4 HA 2 CS 2 CS 2 CS 2 CS 2 CS 2 CS 2 CS 2 CS 2
-20 18.8 15.7 18.8 15.7 18.8 13.8 15 16.3 17.5 13.8 15 16.3 17.5
0.70 0.85
Nil 10 % + All TEE
1.00
100 %
10 % Torispherical 2: 1 Ellipsoidal Hemispherical Torispherical
h 19.0723 24.6063 49.2126 19.0723
ho 19.1943 24.7638 0.0000 19.1943
Dish type
10 % Torispherical D CR KR h
19.07226626 98.43 98.43 9.84 19.07 % 1 0.1
D / 2h 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 Do Ro Do / 2 ho 1 1.2 1.4 1.6 1.8 2 2.2 2.4
K 0.5 0.53 0.57 0.61 0.66 0.71 0.76 0.81 0.87 0.93 1 1.07 1.14 1.21 1.29 1.37 1.46 1.55 1.64 1.73 1.83 99.06 99.06 Ko 0.5 0.57 0.65 0.73 0.81 0.9 0.99 1.08 ho
D / 2h 2.5 2.6 2.580322535
Do / 2 ho 2.4 2.6 2.580322535
2.6 2.8 3
1.18 1.27 1.36
t A
0.31 0.000397456
Material Chart Factor Fig No. HA 1 Selected Matl SA 240 GR 304 Material Chart Factor Fig No. HA 1 Design Temp Table No. Temp F 300 A 0.0000176 0.000783 0.0008 0.0009 0.001 0.002 0.003 0.004 0.005 0.025 0.1 0.0000194 0.000675 0.0009 0.001 0.0025 0.003 0.008 0.01 0.015 0.02 0.028 0.1 0.0000213 0.000564 212 CS 2 B psi 250 11300 11400 11800 12300 15000 16200 16800 17200 17600 17600 250 9000 9650 10000 12000 12400 14200 14600 15500 16100 16900 16900 250 6800
500
700
0.001 0.003 0.01 0.0264 0.1 800 0.0000223 0.000505 0.001 0.0015 0.002 0.003 0.0319 0.1 0.0000237 0.000428 0.001 0.0015 0.002 0.003 0.008 0.03 0.1
8000 10100 12100 13800 13800 250 5710 7100 7950 8400 8900 12400 12400 250 4490 6000 6800 7350 7900 9200 11100 11100
900
Table No. Temp F 100 A 0.0000142 0.000463 0.0015 0.002 0.003 0.01 0.0631 0.1 0.0000159 0.000391 0.002 0.003 0.004 0.005 0.01 0.0538 0.1 0.000017 0.000338
HA 1 B psi 200 6500 10600 11500 12500 14000 15800 15800 200 5000 8200 9100 9690 10000 10600 11600 11600 200 4000
400
700
0.0004 0.0005 0.0006 0.001 0.002 0.005 0.006 0.01 0.0542 0.1 900 0.0000181 0.000315 0.0004 0.0005 0.0015 0.003 0.01 0.02 0.0784 0.1 0.00002 0.000283 0.001 0.002 0.005 0.01 0.02 0.0488 0.1
4330 4710 5000 5760 6670 7650 7800 8100 9000 9000 200 3500 3860 4160 5480 6120 7070 7420 7940 7940 200 2840 4160 4830 5540 5950 6350 6700 6700
1200
Table No. Temp F 100 A 0.0000184 0.000605 0.0015 0.002 0.0025 0.003 0.004 0.005 0.007 0.01 0.02 0.0726 0.1
HA 2 B psi 250 8400 11100 11700 12200 12600 13000 13300 13600 14000 14600 15600 15600
400
0.0000199 0.000585 0.001 0.0015 0.002 0.003 0.004 0.005 0.006 0.01 0.0574 0.1 0.0000218 0.000533 0.0007 0.001 0.003 0.004 0.01 0.05 0.0592 0.1 0.0000228 0.00051 0.0006 0.001 0.003 0.004 0.01 0.0522 0.1 0.0000247 0.00046 0.001 0.002 0.003 0.004 0.005 0.01 0.07 0.1
250 7500 8700 9700 10400 11200 11700 12000 12200 12700 14300 14300 250 6250 7000 7800 10000 10500 11400 12700 12900 12900 250 5660 6100 7200 9050 9400 10300 11700 11700 250 4660 6000 7200 7800 8200 8400 8950 10000 10000
700
900
1200
Table No. Temp F 100 A 0.0000139
HA 3 B psi 200
0.000535 0.002 0.006 0.04 0.1 400 0.0000158 0.000361 0.001 0.01 0.0283 0.1 0.0000165 0.000319 0.001 0.01 0.0281 0.1 0.0000174 0.000275 0.0015 0.01 0.03 0.1
7550 10100 12400 15000 15000 200 4630 5500 8150 9750 9750 200 3890 4750 7100 8450 8450 200 3170 4270 5900 7200 7200
600
800
Table No. Temp F 100 A 0.0000143 0.0006 0.007 0.01 0.02 0.05 0.1 0.0000153 0.000475 0.005 0.006 0.01 0.0458 0.1 0.0000154 0.00041 0.007
HA 4 B psi 200 8400 13300 14000 15200 16200 16200 200 6250 9950 10200 11000 12600 12600 200 5380 8950
300
400
0.01 0.0429 0.1 600 0.0000169 0.000363 0.005 0.01 0.0456 0.1 0.0000176 0.000317 0.005 0.01 0.0468 0.1
9400 10600 10600 200 4380 7200 7900 9000 9000 200 3630 5950 6600 7700 7700
800
15.7 14.1
200 15.7 13.4 18.8 15.7 18.8 13.8 15 16.3 17.5 13.8 15 16.3 17.5
300 14.1 12 18.4 15.7 18.4 13.8 15 16.3 17.5 13.8 15 16.3 17.5
400 12.9 11 18.1 15.5 18.1 13.8 15 16.3 17.5 13.8 15 16.3 17.5
500 12.1 10.3 18 14.4 18 13.8 15 16.3 17.5 13.8 15 16.3 17.5
600 11.4 9.7 17 13.5 17 13.8 15 16.3 17.5 13.8 15 16.3 17.5
650 11.2 9.5 16.7 13.2 16.7 13.8 15 16.3 17.5 13.8 15 16.3 17.5
700 11.1 9.4 16.3 12.9 16.3 13.3 14.4 15.5 16.6 13.3 14.4 15.5 16.6
750 10.8 9.2 16.1 12.6 16.1 12.1 13 13.9 14.8 12.1 13 13.9 14.8
800 10.6 9.1 15.9 12.4 15.9 10.2 10.8 11.4 12 10.2 10.8 11.4 12
850 10.4 0 15.7 12.1 15.7 8.4 8.7 9 9.3 8.4 8.7 9 9.3
900 10.2 0 15.5 0 15.5 6.5 6.5 6.5 6.5 6.5 6.5 6.5 6.5
C.R. - K.R. 2 I.D. / 2 - K.R. 2 Sqrt
Inside Outside 7846.890694 7947.652303 Do 1550.0031 1569.906628 Cro 79.35293059 79.86078935 Kro
99.06 99.05511811 9.905511811
K 1.37 1.46 1.442290282
19.19432876
Ko 1.08 1.18 1.170161268
A 0.0000176 0.000783
B psi 250 11300
Temp F 300 500 700 800 900 1000
B psi 5733.945508 5295.748091 4789.936674 4493.532811 4169.680006 0
Dt 300
Temp F
B psi
300 5733.946 500 5295.748
0.0000194 0.000675
250 9000
0.0000213 0.000564
250 6800
0.0000223 0.000505
250 5710
0.0000237 0.000428
250 4490
A 0.0000142 0.000463
B psi 200 6500
Temp F 100 400 700 900 1200 1300
B psi 5579.934409 5012.840333 4316.460844 3849.226597 3050.71449 0
Dt 212
Temp F
B psi
100 5579.934 400 5012.84
0.000391 0.002
5000 8200
0.000338 0.0004
4000 4330
0.000315 0.0004
3500 3860
0.000283 0.001
2840 4160
A 0.0000184 0.000605
B psi 250 8400
Temp F 100 400 700 900 1200 1300
B psi 5516.465531 5093.891397 4659.111265 4410.284224 4026.373062 0
Dt 212
Temp F
B psi
100 5516.466 400 5093.891
0.0000199 0.000585
250 7500
0.0000218 0.000533
250 6250
0.0000228 0.00051
250 5660
0.0000247 0.00046
250 4660
A 0.0000139
B psi 200
Temp F 100
B psi 5609.976313
Dt 212
Temp F
B psi
100 5609.976
0.000535
7550
400 600 800 900
4679.635311 3989.078415 3279.960741 0
400 4679.635
0.000361 0.001
4630 5500
0.000319 0.001
3890 4750
0.000275 0.0015
3170 4270
A 0.0000143 0.0006
B psi 200 8400
Temp F 100 300 400 600 800 1300
B psi 5564.318754 5229.46594 5215.335858 4400.954649 3669.858759 0
Dt 212
Temp F
B psi
100 5564.319 300 5229.466
0.0000153 0.000475
200 6250
0.0000154 0.00041
200 5380
0.000363 0.005
4380 7200
0.000317 0.005
3630 5950
950 10 0 15.4 0 15.4 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5
1000 9.8 0 15.3 0 15.3 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5
1050 9.5 0 14.5 0 14.5 0 0 0 0 0 0 0 0
1100 8.9 0 12.4 0 12.4 0 0 0 0 0 0 0 0
1150 7.7 0 9.8 0 9.8 0 0 0 0 0 0 0 0
1200 6.1 0 7.4 0 7.4 0 0 0 0 0 0 0 0
1250 4.7 0 5.5 0 5.5 0 0 0 0 0 0 0 0
1300 3.7 0 4.1 0 4.1 0 0 0 0 0 0 0 0
Table No.
B psi 5733.945508 5368.219287 5358.704521 5262.649005 5376.801179
Min A Value 0.00001 0.00001 0.00001 0.00001 0.00001
Value of A 0.000397456
Value of B psi 5368.219287
CS 2 HA 1 HA 2 HA 3 HA 4
1350 2.9 0 3.1 0 3.1 0 0 0 0 0 0 0 0
1400 2.3 0 2.3 0 2.3 0 0 0 0 0 0 0 0
1450 1.8 0 1.7 0 1.7 0 0 0 0 0 0 0 0
1500 1.4 0 1.3 0 1.3 0 0 0 0 0 0 0 0
1600 0 0 0 0 0 0 0 0 0 0 0 0 0
Table No.
Allowable Pressure Pa 17.06905974
HA 1
Design of Cylindrical Shell under External Pressure
Material Design Pressure Design Temperature Corrosion Allowance Shell O/D Required Thickness Equivalent Length (L) L / Do Ratio Do / t Ratio Geometric Chart Factor From Fig. UGO-28.0 Material Chart Factor Fig No. HA 2 Maximum Allowable Working Pressure (Pa) Provided Thickness
MATL P Temp CA Do tr Le 107.8 / 137.8 137.8 / 0.16 A B MAWP tp
SA 240 GR 316 35.625 122 0.00 137.80 0.16 107.80 0.7823 875.3742 6.73348E-05 924.6519044 1.41 0.24
psi F inch inch inch inch
2.5 50 0 3500 3.99829 2738
kg / cm C mm mm mm mm
psi psi inch
64.8878529 0.09883446 kg / cm 6 mm
924.6076875
Material
Thickness Not Suitable
/ C F kg / cm psi
mm inch
-20 200
Plate
SA 240 GR 304 SA 240 GR 304 L SA 240 GR 316 SA 240 GR 316 L SA 240 GR 316 Ti SA 515 GR 55 SA 515 GR 60 SA 515 GR 65 SA 515 GR 70 SA 516 GR 55 SA 516 GR 60 SA 516 GR 65 SA 516 GR 70
HA 1 HA 3 HA 2 HA 4 HA 2 CS 2 CS 2 CS 2 CS 2 CS 2 CS 2 CS 2 CS 2
-20 18.8 15.7 18.8 15.7 18.8 13.8 15 16.3 17.5 13.8 15 16.3 17.5
0.70 0.85 1.00
Nil 10 % + All TEE 100 %
10 % Torispherical 2: 1 Ellipsoidal 6 % Torispherical Flat Bottom Hemispherical
#REF! #REF! #REF! #REF! #REF!
Dish type
#REF! Web Width b #REF! #REF! #REF! #REF!
#REF! Flange Width a #REF! #REF! #REF! #REF! Thickness #REF! #REF! #REF! #REF!
Angle Channel Flat Bar T Section
#REF!
#REF!
inch4
L/ Do Do / t
0.782285714 875.3742
Do / t 4
L / Do 2.2 2.6 3 4 5 7 10 30 50 1.4 1.6 2 2.4 3 4 5
A 0.0959 0.0884 0.0839 0.0783 0.0759 0.0739 0.0729 0.072 0.072 0.0929 0.0802 0.0658 0.0586 0.0532 0.0494 0.0478
5
7 10 30 50 6 1.2 1.6 2 2.4 3 4 5 7 10 30 50 0.74 0.8 1 1.6 2 2.4 3 4 5 7 10 20 50 0.56 0.7 1 1.2 2 2.4 3 4 5 7 10 16 50 0.34 0.4 0.6 1 1.2 2 2.4
0.0465 0.0459 0.0454 0.0453 0.0837 0.584 0.0469 0.0411 0.0369 0.0341 0.0329 0.032 0.0316 0.0312 0.0312 0.0968 0.0875 0.066 0.0372 0.0285 0.0242 0.0212 0.0192 0.0184 0.0179 0.0176 0.0174 0.0174 0.0964 0.072 0.0463 0.0371 0.0201 0.0165 0.0139 0.0124 0.0118 0.0114 0.0112 0.0111 0.0111 0.0968 0.077 0.0453 0.0244 0.0197 0.0109 0.0089
8
10
15
3 4 5 6 10 40 50 20 0.24 0.4 0.6 0.8 1 1.2 2 3 3.4 4 5 7 10 40 50 0.2 0.3 0.5 0.8 1 1.2 2 3 3.4 4 4.4 5 6 7 10 30 50 0.16 0.2 0.3 0.4 0.6 0.8 1 1.2 2 3
0.00691 0.00573 0.00534 0.00516 0.00497 0.0049 0.0049 0.0982 0.0477 0.0286 0.0203 0.0156 0.0127 0.00713 0.00446 0.00388 0.00342 0.00308 0.00287 0.0028 0.00275 0.00275 0.0877 0.0484 0.025 0.0143 0.0111 0.00902 0.00508 0.00323 0.00278 0.00235 0.00219 0.00204 0.00191 0.00186 0.0018 0.00176 0.00176 0.0904 0.0635 0.0357 0.0246 0.015 0.0108 0.00838 0.00683 0.00388 0.00246
25
30
4 4.4 5 6 7 10 30 50 40 0.12 0.2 0.3 0.4 0.6 0.8 1 1.2 2 4 5 6 7 8 10 16 40 50 0.088 0.1 0.2 0.3 0.4 0.6 0.8 1 2 4 5 6 7 8 10 12 16 40 50 0.074 0.1 0.14 0.2
0.00177 0.00161 0.00147 0.00136 0.0013 0.00125 0.00122 0.00122 0.0864 0.0385 0.0222 0.0155 0.00958 0.00691 0.00539 0.00441 0.00252 0.00117 0.000912 0.000804 0.000756 0.000731 0.000708 0.000692 0.000688 0.000688 0.093 0.0782 0.0263 0.0154 0.0108 0.00677 0.0049 0.00384 0.00181 0.000842 0.000652 0.000548 0.000502 0.000478 0.000458 0.000449 0.000444 0.00044 0.00044 0.0954 0.0556 0.0323 0.0193
50
60
0.4 0.6 0.8 1 2 3 4 6 7 8 10 14 40 50 80 0.054 0.07 0.09 0.1 0.14 0.2 0.24 0.4 0.6 0.8 1 2 4 6.6 8 10 14 30 50 0.05 0.07 0.1 0.14 0.2 0.4 0.5 0.8 1 2 4 6 8 10 14 25 50
0.00812 0.0051 0.00371 0.00291 0.00138 0.000886 0.000645 0.000409 0.000364 0.000341 0.000322 0.00031 0.000306 0.000306 0.099 0.0608 0.0391 0.0328 0.0196 0.012 0.0095 0.00516 0.00328 0.00239 0.00188 0.000895 0.000424 0.000241 0.000205 0.000186 0.000176 0.000172 0.000172 0.0741 0.0398 0.022 0.0133 0.00831 0.00364 0.00283 0.0017 0.00134 0.000641 0.000305 0.000195 0.000142 0.000124 0.000114 0.00011 0.00011
100
125
0.05 0.06 0.08 0.1 0.14 0.2 0.4 0.6 0.8 1 2 4 6 9 10 12 14 20 40 50 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 1 2 4 6 8 10 12 16 20 40 50 0.05 0.06 0.08 0.1 0.14 0.2 0.3 0.5 0.8
0.048 0.0344 0.021 0.0148 0.00917 0.00578 0.00257 0.00165 0.00121 0.000955 0.000459 0.00022 0.000141 0.0000904 0.0000837 0.000077 0.000074 0.0000713 0.0000704 0.0000704 0.0338 0.0244 0.0151 0.0108 0.00833 0.00569 0.00431 0.00194 0.00125 0.000726 0.000349 0.000168 0.000108 0.0000787 0.0000619 0.0000553 0.000051 0.0000498 0.0000489 0.0000489 0.0196 0.0143 0.00909 0.00659 0.00421 0.00272 0.00171 0.000976 0.000592
150
200
1 2 4 6 8 10 12 14 16 20 40 50 250 0.05 0.06 0.08 0.1 0.14 0.2 0.4 0.6 0.8 1 2 4 6 8 10 12 14 16 20 40 50 0.05 0.06 0.08 0.1 0.12 0.2 0.4 0.6 0.8 1 2 4 6 8 10 14 16
0.000469 0.000227 0.00011 0.0000711 0.000052 0.0000403 0.0000338 0.0000309 0.0000295 0.0000283 0.0000275 0.0000275 0.0129 0.00955 0.00617 0.00452 0.00293 0.00191 0.000881 0.000572 0.000422 0.000335 0.000163 0.0000789 0.0000513 0.0000377 0.0000293 0.0000238 0.000021 0.0000196 0.0000184 0.0000176 0.0000176 0.00923 0.0069 0.00452 0.00334 0.00264 0.00143 0.000666 0.000433 0.000321 0.000254 0.000124 0.0000602 0.0000393 0.0000287 0.0000225 0.0000156 0.0000142
300
20 40 50 400 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 0.8 1 2 4 6 8 10 14 16 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 0.8 1 2 4 6 8 10 12 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 0.8 1
0.000013 0.0000123 0.0000122 0.00549 0.00417 0.00278 0.00208 0.00166 0.00118 0.000914 0.000429 0.00028 0.000207 0.000165 0.0000808 0.0000393 0.0000257 0.0000189 0.0000148 0.0000102 0.00000882 0.0037 0.00284 0.00192 0.00145 0.00116 0.00083 0.000645 0.000305 0.000199 0.000148 0.000118 0.0000579 0.0000282 0.0000185 0.0000137 0.0000107 0.0000088 0.0027 0.00208 0.00142 0.00108 0.000868 0.000624 0.000486 0.000231 0.000151 0.000112 0.0000894
500
600
2 4 6 8 8.4 800 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 0.8 1 2 4 5 5.6 0.05 0.06 0.07 0.09 0.12 0.16 0.2 0.4 0.7 1 2 4 4.2
0.0000439 0.0000216 0.0000141 0.0000104 0.00000988 0.00165 0.00129 0.000892 0.000682 0.000551 0.000398 0.000312 0.000149 0.000098 0.0000728 0.000058 0.0000286 0.000014 0.0000112 0.00000992 0.00113 0.000891 0.000733 0.000541 0.000388 0.000282 0.000221 0.000106 0.0000596 0.0000414 0.0000204 0.0000101 0.00000957
1000
Material Chart Factor Fig No. HA 2 Selected Matl SA 240 GR 316 Material Chart Factor Fig No. HA 2 Design Temp 122
Table No. Temp F 300 A 0.0000176 0.000783 0.0008 0.0009 0.001 0.002 0.003 0.004 0.005 0.025 0.1 0.0000194 0.000675 0.0009 0.001 0.0025 0.003 0.008 0.01 0.015 0.02 0.028 0.1 0.0000213 0.000564 0.001 0.003 0.01 0.0264 0.1 0.0000223 0.000505 0.001 0.0015 0.002 0.003 0.0319 0.1 0.0000237 0.000428 0.001
CS 2 B psi 250 11300 11400 11800 12300 15000 16200 16800 17200 17600 17600 250 9000 9650 10000 12000 12400 14200 14600 15500 16100 16900 16900 250 6800 8000 10100 12100 13800 13800 250 5710 7100 7950 8400 8900 12400 12400 250 4490 6000
500
700
800
900
0.0015 0.002 0.003 0.008 0.03 0.1
6800 7350 7900 9200 11100 11100
Table No. Temp F 100 A 0.0000142 0.000463 0.0015 0.002 0.003 0.01 0.0631 0.1 0.0000159 0.000391 0.002 0.003 0.004 0.005 0.01 0.0538 0.1 0.000017 0.000338 0.0004 0.0005 0.0006 0.001 0.002 0.005 0.006 0.01 0.0542 0.1 0.0000181 0.000315 0.0004 0.0005 0.0015 0.003 0.01
HA 1 B psi 200 6500 10600 11500 12500 14000 15800 15800 200 5000 8200 9100 9690 10000 10600 11600 11600 200 4000 4330 4710 5000 5760 6670 7650 7800 8100 9000 9000 200 3500 3860 4160 5480 6120 7070
400
700
900
0.02 0.0784 0.1 1200 0.00002 0.000283 0.001 0.002 0.005 0.01 0.02 0.0488 0.1
7420 7940 7940 200 2840 4160 4830 5540 5950 6350 6700 6700
Table No. Temp F 100 A 0.0000184 0.000605 0.0015 0.002 0.0025 0.003 0.004 0.005 0.007 0.01 0.02 0.0726 0.1 0.0000199 0.000585 0.001 0.0015 0.002 0.003 0.004 0.005 0.006 0.01 0.0574 0.1 0.0000218 0.000533 0.0007 0.001 0.003
HA 2 B psi 250 8400 11100 11700 12200 12600 13000 13300 13600 14000 14600 15600 15600 250 7500 8700 9700 10400 11200 11700 12000 12200 12700 14300 14300 250 6250 7000 7800 10000
400
700
0.004 0.01 0.05 0.0592 0.1 900 0.0000228 0.00051 0.0006 0.001 0.003 0.004 0.01 0.0522 0.1 0.0000247 0.00046 0.001 0.002 0.003 0.004 0.005 0.01 0.07 0.1
10500 11400 12700 12900 12900 250 5660 6100 7200 9050 9400 10300 11700 11700 250 4660 6000 7200 7800 8200 8400 8950 10000 10000
1200
Table No. Temp F 100 A 0.0000139 0.000535 0.002 0.006 0.04 0.1 0.0000158 0.000361 0.001 0.01 0.0283 0.1 0.0000165 0.000319 0.001 0.01 0.0281
HA 3 B psi 200 7550 10100 12400 15000 15000 200 4630 5500 8150 9750 9750 200 3890 4750 7100 8450
400
600
0.1 800 0.0000174 0.000275 0.0015 0.01 0.03 0.1
8450 200 3170 4270 5900 7200 7200
Table No. Temp F 100 A 0.0000143 0.0006 0.007 0.01 0.02 0.05 0.1 0.0000153 0.000475 0.005 0.006 0.01 0.0458 0.1 0.0000154 0.00041 0.007 0.01 0.0429 0.1 0.0000169 0.000363 0.005 0.01 0.0456 0.1 0.0000176 0.000317 0.005 0.01 0.0468 0.1
HA 4 B psi 200 8400 13300 14000 15200 16200 16200 200 6250 9950 10200 11000 12600 12600 200 5380 8950 9400 10600 10600 200 4380 7200 7900 9000 9000 200 3630 5950 6600 7700 7700
300
400
600
800
18.8 18.8
200 15.7 13.4 18.8 15.7 18.8 13.8 15 16.3 17.5 13.8 15 16.3 17.5
300 14.1 12 18.4 15.7 18.4 13.8 15 16.3 17.5 13.8 15 16.3 17.5
400 12.9 11 18.1 15.5 18.1 13.8 15 16.3 17.5 13.8 15 16.3 17.5
500 12.1 10.3 18 14.4 18 13.8 15 16.3 17.5 13.8 15 16.3 17.5
600 11.4 9.7 17 13.5 17 13.8 15 16.3 17.5 13.8 15 16.3 17.5
650 11.2 9.5 16.7 13.2 16.7 13.8 15 16.3 17.5 13.8 15 16.3 17.5
700 11.1 9.4 16.3 12.9 16.3 13.3 14.4 15.5 16.6 13.3 14.4 15.5 16.6
750 10.8 9.2 16.1 12.6 16.1 12.1 13 13.9 14.8 12.1 13 13.9 14.8
800 10.6 9.1 15.9 12.4 15.9 10.2 10.8 11.4 12 10.2 10.8 11.4 12
850 10.4 0 15.7 12.1 15.7 8.4 8.7 9 9.3 8.4 8.7 9 9.3
900 10.2 0 15.5 0 15.5 6.5 6.5 6.5 6.5 6.5 6.5 6.5 6.5
y #REF! #REF! #REF! #REF!
I #REF! #REF! #REF! #REF!
Geometric Chart Factor
Do / t 0 0 0 0 4 5 6 8 10 15 20 25 30 40 50 60 80 100 125 150 200
0 0
0 0
0 0
0 0
250 300 400 500 600 800 1000
0.74 0.8
0.0968 0.0875
0.7 1
0.072 0.0463
0.6 1
0.0453 0.0244
0.6 0.8
0.0286 0.0203
0.5 0.8
0.025 0.0143
0.6 0.8
0.015 0.0108
0.6 0.8
0.00958 0.00691
0.6 0.8
0.00677 0.0049
0.6 0.8
0.0051 0.00371
0.6 0.8
0.00328 0.00239
0.5 0.8
0.00283 0.0017
0.6 0.8
0.00165 0.00121
0.6 1
0.00125 0.000726
0.5 0.8
0.000976 0.000592
0.6 0.8
0.000572 0.000422
0.6 0.8
0.000433 0.000321
0.6 0.8
0.00028 0.000207
0.6 0.8
0.000199 0.000148
0.6 0.8
0.000151 0.000112
0.6 0.8
0.000098 0.0000728
0.7 1
0.0000596 0.0000414
A 0.0000176 0.000783
B psi 250 11300
Temp F 300 500 700 800 900 1000
B psi 968.0158971 889.7641298 805.6068506 759.4052679 707.6094134 0
Dt 300
Temp F
B psi
300 968.0159 500 889.7641
0.0000194 0.000675
250 9000
0.0000213 0.000564
250 6800
0.0000223 0.000505
250 5710
0.0000237 0.000428
250 4490
A 0.0000142 0.000463
B psi 200 6500
Temp F 100 400 700 900 1200 1300
B psi 945.8759842 858.1897231 795.8634913 747.237415 675.1476457 0
Dt 122
Temp F
B psi
100 945.876 400 858.1897
0.0000159 0.000391
200 5000
0.000017 0.000338
200 4000
0.0000181 0.000315
200 3500
0.00002 0.000283
200 2840
A 0.0000184 0.000605
B psi 250 8400
Temp F 100 400 700 900 1200 1300
B psi 929.8815085 858.5687257 784.4458263 744.5262389 681.9306207 0
Dt 122
Temp F
B psi
100 929.8815 400 858.5687
0.0000199 0.000585
250 7500
0.0000218 0.000533
250 6250
0.0000228 0.00051
250 5660
0.0000247 0.00046
250 4660
A 0.0000139 0.000535
B psi 200 7550
Temp F 100 400 600 800 900
B psi 953.6857903 861.3531138 820.1003452 775.7232518 0
Dt 122
Temp F
B psi
100 953.6858 400 861.3531
0.0000158 0.000361
200 4630
0.0000165 0.000319
200 3890
0.0000174 0.000275
200 3170
A 0.0000143 0.0006
B psi 200 8400
Temp F 100 300 400 600 800 1300
B psi 942.5050915 884.8171538 881.7592073 809.1227934 769.7739161 0
Dt 122
Temp F
B psi
100 942.5051 300 884.8172
0.0000153 0.000475
200 6250
0.0000154 0.00041
200 5380
0.0000169 0.000363
200 4380
0.0000176 0.000317
200 3630
950 10 0 15.4 0 15.4 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5
1000 9.8 0 15.3 0 15.3 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5
1050 9.5 0 14.5 0 14.5 0 0 0 0 0 0 0 0
1100 8.9 0 12.4 0 12.4 0 0 0 0 0 0 0 0
1150 7.7 0 9.8 0 9.8 0 0 0 0 0 0 0 0
1200 6.1 0 7.4 0 7.4 0 0 0 0 0 0 0 0
1250 4.7 0 5.5 0 5.5 0 0 0 0 0 0 0 0
ric Chart Factor
A 0 0 0 0.090245714 0.064950857 0.035775571 0.021035143 0.01493181 0.011172 0.007146486 0.005065629 0.003833114 0.002468829 0.001766724 0.001248971 0.001011206 0.000614674 800 1000 0.000075032 0.000054608
Value of A for Do / t >= 4 6.73348E-05
0.000435286 0.00033092 0.000213466 0.000152517 0.000115454 7.503200000E-05 5.460800000E-05
Table No.
B psi 968.0158971 939.4456584 924.6519044 946.9147274 936.1594183
Min A Value 0.00001 0.00001 0.00001 0.00001 0.00001
Value of A 6.73348E-05
CS 2 HA 1 HA 2 HA 3 HA 4
1300 3.7 0 4.1 0 4.1 0 0 0 0 0 0 0 0
1350 2.9 0 3.1 0 3.1 0 0 0 0 0 0 0 0
1400 2.3 0 2.3 0 2.3 0 0 0 0 0 0 0 0
1450 1.8 0 1.7 0 1.7 0 0 0 0 0 0 0 0
1500 1.4 0 1.3 0 1.3 0 0 0 0 0 0 0 0
1600 0 0 0 0 0 0 0 0 0 0 0 0 0
Value of A for Do / t < 4 1.43551E-06
Value of A 6.73348E-05
Actual Value of A 6.73348E-05
Value of B psi 924.6519044
Table No.
Allowable Pressure Pa 1.408391033
HA 2
Design of Pressure VesselDesign of Cylindrical Shell under External Pressure
Material Design Pressure Design Temperature Corrosion Allowance Shell O/D Required Thickness Equivalent Length (L) L / Do Ratio Do / t Ratio Geometric Chart Factor From Fig. UGO-28.0 Material Chart Factor Fig No. HA 2 Maximum Allowable Working Pressure (Pa) Provided Thickness
MATL P Temp CA Do tr Le 41.34 / 114.49 114.49 / 0.2 A B MAWP tp
SA 240 GR 316 1.938 122 0.00 114.49 0.20 41.34 0.3611 581.6000 0.000297292 4101.649698 9.40 0.16
psi F inch inch inch inch
0.136 50 0 2908 5 1050
kg / cm C mm mm mm mm
psi psi inch
287.835067 0.65986948 kg / cm 4 mm
Stiffening Ring Calculations Ring Section Web Width Flange Width Thickness Area Provided M.I. Flat Bar 2.95 0.00 0.24 0.70 0.51 75 0 6 450 210937.5 mm mm mm mm mm4
I
inch2 inch4
B A Required M.I.
3 x (P x Do) 4 x [t + (As/Le)]
954.4337419 6.73348E-05 0.454379081
psi inch44 189126.853 mm
Material
/ C F kg / cm psi
mm inch
-20 200
Plate
SA 240 GR 304 SA 240 GR 304 L SA 240 GR 316 SA 240 GR 316 L SA 240 GR 316 Ti SA 515 GR 55 SA 515 GR 60
HA 1 HA 3 HA 2 HA 4 HA 2 CS 2 CS 2
-20 18.8 15.7 18.8 15.7 18.8 13.8 15
SA 515 GR 65 SA 515 GR 70 SA 516 GR 55 SA 516 GR 60 SA 516 GR 65 SA 516 GR 70
CS 2 CS 2 CS 2 CS 2 CS 2 CS 2
16.3 17.5 13.8 15 16.3 17.5
0.70 0.85 1.00
Nil 10 % + All TEE 100 %
10 % Torispherical 2: 1 Ellipsoidal 6 % Torispherical Flat Bottom Hemispherical
#REF! #REF! #REF! #REF! #REF!
Dish type
#REF! Web Width b 2.95 2.95 2.95 2.95
#REF! Flange Width a 0.00 0.00 0.00 0.00 Thickness 0.24 0.24 0.24 0.24
Angle Channel Flat Bar T Section
Flat Bar
4 0.506779371 inch
0.697501395
L/ Do Do / t
0.361072902 581.6000
Do / t 4
L / Do 2.2 2.6 3 4 5
A 0.0959 0.0884 0.0839 0.0783 0.0759
7 10 30 50 5 1.4 1.6 2 2.4 3 4 5 7 10 30 50 1.2 1.6 2 2.4 3 4 5 7 10 30 50 0.74 0.8 1 1.6 2 2.4 3 4 5 7 10 20 50 0.56 0.7 1 1.2 2 2.4 3 4 5
0.0739 0.0729 0.072 0.072 0.0929 0.0802 0.0658 0.0586 0.0532 0.0494 0.0478 0.0465 0.0459 0.0454 0.0453 0.0837 0.584 0.0469 0.0411 0.0369 0.0341 0.0329 0.032 0.0316 0.0312 0.0312 0.0968 0.0875 0.066 0.0372 0.0285 0.0242 0.0212 0.0192 0.0184 0.0179 0.0176 0.0174 0.0174 0.0964 0.072 0.0463 0.0371 0.0201 0.0165 0.0139 0.0124 0.0118
6
8
10
7 10 16 50 15 0.34 0.4 0.6 1 1.2 2 2.4 3 4 5 6 10 40 50 0.24 0.4 0.6 0.8 1 1.2 2 3 3.4 4 5 7 10 40 50 0.2 0.3 0.5 0.8 1 1.2 2 3 3.4 4 4.4 5 6 7 10 30
0.0114 0.0112 0.0111 0.0111 0.0968 0.077 0.0453 0.0244 0.0197 0.0109 0.0089 0.00691 0.00573 0.00534 0.00516 0.00497 0.0049 0.0049 0.0982 0.0477 0.0286 0.0203 0.0156 0.0127 0.00713 0.00446 0.00388 0.00342 0.00308 0.00287 0.0028 0.00275 0.00275 0.0877 0.0484 0.025 0.0143 0.0111 0.00902 0.00508 0.00323 0.00278 0.00235 0.00219 0.00204 0.00191 0.00186 0.0018 0.00176
20
25
50 30 0.16 0.2 0.3 0.4 0.6 0.8 1 1.2 2 3 4 4.4 5 6 7 10 30 50 0.12 0.2 0.3 0.4 0.6 0.8 1 1.2 2 4 5 6 7 8 10 16 40 50 0.088 0.1 0.2 0.3 0.4 0.6 0.8 1 2 4 5 6
0.00176 0.0904 0.0635 0.0357 0.0246 0.015 0.0108 0.00838 0.00683 0.00388 0.00246 0.00177 0.00161 0.00147 0.00136 0.0013 0.00125 0.00122 0.00122 0.0864 0.0385 0.0222 0.0155 0.00958 0.00691 0.00539 0.00441 0.00252 0.00117 0.000912 0.000804 0.000756 0.000731 0.000708 0.000692 0.000688 0.000688 0.093 0.0782 0.0263 0.0154 0.0108 0.00677 0.0049 0.00384 0.00181 0.000842 0.000652 0.000548
40
50
7 8 10 12 16 40 50 60 0.074 0.1 0.14 0.2 0.4 0.6 0.8 1 2 3 4 6 7 8 10 14 40 50 0.054 0.07 0.09 0.1 0.14 0.2 0.24 0.4 0.6 0.8 1 2 4 6.6 8 10 14 30 50 0.05 0.07 0.1 0.14 0.2
0.000502 0.000478 0.000458 0.000449 0.000444 0.00044 0.00044 0.0954 0.0556 0.0323 0.0193 0.00812 0.0051 0.00371 0.00291 0.00138 0.000886 0.000645 0.000409 0.000364 0.000341 0.000322 0.00031 0.000306 0.000306 0.099 0.0608 0.0391 0.0328 0.0196 0.012 0.0095 0.00516 0.00328 0.00239 0.00188 0.000895 0.000424 0.000241 0.000205 0.000186 0.000176 0.000172 0.000172 0.0741 0.0398 0.022 0.0133 0.00831
80
100
0.4 0.5 0.8 1 2 4 6 8 10 14 25 50 125 0.05 0.06 0.08 0.1 0.14 0.2 0.4 0.6 0.8 1 2 4 6 9 10 12 14 20 40 50 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 1 2 4 6 8 10 12 16 20
0.00364 0.00283 0.0017 0.00134 0.000641 0.000305 0.000195 0.000142 0.000124 0.000114 0.00011 0.00011 0.048 0.0344 0.021 0.0148 0.00917 0.00578 0.00257 0.00165 0.00121 0.000955 0.000459 0.00022 0.000141 0.0000904 0.0000837 0.000077 0.000074 0.0000713 0.0000704 0.0000704 0.0338 0.0244 0.0151 0.0108 0.00833 0.00569 0.00431 0.00194 0.00125 0.000726 0.000349 0.000168 0.000108 0.0000787 0.0000619 0.0000553 0.000051 0.0000498
150
40 50 200 0.05 0.06 0.08 0.1 0.14 0.2 0.3 0.5 0.8 1 2 4 6 8 10 12 14 16 20 40 50 0.05 0.06 0.08 0.1 0.14 0.2 0.4 0.6 0.8 1 2 4 6 8 10 12 14 16 20 40 50 0.05 0.06 0.08 0.1 0.12
0.0000489 0.0000489 0.0196 0.0143 0.00909 0.00659 0.00421 0.00272 0.00171 0.000976 0.000592 0.000469 0.000227 0.00011 0.0000711 0.000052 0.0000403 0.0000338 0.0000309 0.0000295 0.0000283 0.0000275 0.0000275 0.0129 0.00955 0.00617 0.00452 0.00293 0.00191 0.000881 0.000572 0.000422 0.000335 0.000163 0.0000789 0.0000513 0.0000377 0.0000293 0.0000238 0.000021 0.0000196 0.0000184 0.0000176 0.0000176 0.00923 0.0069 0.00452 0.00334 0.00264
250
300
0.2 0.4 0.6 0.8 1 2 4 6 8 10 14 16 20 40 50 400 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 0.8 1 2 4 6 8 10 14 16 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 0.8 1 2 4 6 8 10 12
0.00143 0.000666 0.000433 0.000321 0.000254 0.000124 0.0000602 0.0000393 0.0000287 0.0000225 0.0000156 0.0000142 0.000013 0.0000123 0.0000122 0.00549 0.00417 0.00278 0.00208 0.00166 0.00118 0.000914 0.000429 0.00028 0.000207 0.000165 0.0000808 0.0000393 0.0000257 0.0000189 0.0000148 0.0000102 0.00000882 0.0037 0.00284 0.00192 0.00145 0.00116 0.00083 0.000645 0.000305 0.000199 0.000148 0.000118 0.0000579 0.0000282 0.0000185 0.0000137 0.0000107 0.0000088
500
600
0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 0.8 1 2 4 6 8 8.4 0.05 0.06 0.08 0.1 0.12 0.16 0.2 0.4 0.6 0.8 1 2 4 5 5.6 0.05 0.06 0.07 0.09 0.12 0.16 0.2 0.4 0.7 1 2 4 4.2
0.0027 0.00208 0.00142 0.00108 0.000868 0.000624 0.000486 0.000231 0.000151 0.000112 0.0000894 0.0000439 0.0000216 0.0000141 0.0000104 0.00000988 0.00165 0.00129 0.000892 0.000682 0.000551 0.000398 0.000312 0.000149 0.000098 0.0000728 0.000058 0.0000286 0.000014 0.0000112 0.00000992 0.00113 0.000891 0.000733 0.000541 0.000388 0.000282 0.000221 0.000106 0.0000596 0.0000414 0.0000204 0.0000101 0.00000957
800
1000
Material Chart Factor Fig No. HA 2 Selected Matl SA 240 GR 316 Material Chart Factor Fig No. HA 2 Design Temp 122
Table No. Temp F 300 A 0.0000176 0.000783 0.0008 0.0009 0.001 0.002 0.003 0.004 0.005 0.025 0.1 0.0000194 0.000675 0.0009 0.001 0.0025 0.003 0.008 0.01 0.015 0.02 0.028 0.1 0.0000213 0.000564 0.001 0.003 0.01 0.0264
CS 2 B psi 250 11300 11400 11800 12300 15000 16200 16800 17200 17600 17600 250 9000 9650 10000 12000 12400 14200 14600 15500 16100 16900 16900 250 6800 8000 10100 12100 13800
500
700
0.1 800 0.0000223 0.000505 0.001 0.0015 0.002 0.003 0.0319 0.1 0.0000237 0.000428 0.001 0.0015 0.002 0.003 0.008 0.03 0.1
13800 250 5710 7100 7950 8400 8900 12400 12400 250 4490 6000 6800 7350 7900 9200 11100 11100
900
Table No. Temp F 100 A 0.0000142 0.000463 0.0015 0.002 0.003 0.01 0.0631 0.1 0.0000159 0.000391 0.002 0.003 0.004 0.005 0.01 0.0538 0.1 0.000017 0.000338 0.0004 0.0005 0.0006 0.001
HA 1 B psi 200 6500 10600 11500 12500 14000 15800 15800 200 5000 8200 9100 9690 10000 10600 11600 11600 200 4000 4330 4710 5000 5760
400
700
0.002 0.005 0.006 0.01 0.0542 0.1 900 0.0000181 0.000315 0.0004 0.0005 0.0015 0.003 0.01 0.02 0.0784 0.1 0.00002 0.000283 0.001 0.002 0.005 0.01 0.02 0.0488 0.1
6670 7650 7800 8100 9000 9000 200 3500 3860 4160 5480 6120 7070 7420 7940 7940 200 2840 4160 4830 5540 5950 6350 6700 6700
1200
Table No. Temp F 100 A 0.0000184 0.000605 0.0015 0.002 0.0025 0.003 0.004 0.005 0.007 0.01 0.02 0.0726 0.1 0.0000199 0.000585 0.001 0.0015
HA 2 B psi 250 8400 11100 11700 12200 12600 13000 13300 13600 14000 14600 15600 15600 250 7500 8700 9700
400
0.002 0.003 0.004 0.005 0.006 0.01 0.0574 0.1 700 0.0000218 0.000533 0.0007 0.001 0.003 0.004 0.01 0.05 0.0592 0.1 0.0000228 0.00051 0.0006 0.001 0.003 0.004 0.01 0.0522 0.1 0.0000247 0.00046 0.001 0.002 0.003 0.004 0.005 0.01 0.07 0.1
10400 11200 11700 12000 12200 12700 14300 14300 250 6250 7000 7800 10000 10500 11400 12700 12900 12900 250 5660 6100 7200 9050 9400 10300 11700 11700 250 4660 6000 7200 7800 8200 8400 8950 10000 10000
900
1200
Table No. Temp F 100 A 0.0000139 0.000535 0.002 0.006 0.04
HA 3 B psi 200 7550 10100 12400 15000
0.1 400 0.0000158 0.000361 0.001 0.01 0.0283 0.1 0.0000165 0.000319 0.001 0.01 0.0281 0.1 0.0000174 0.000275 0.0015 0.01 0.03 0.1
15000 200 4630 5500 8150 9750 9750 200 3890 4750 7100 8450 8450 200 3170 4270 5900 7200 7200
600
800
Table No. Temp F 100 A 0.0000143 0.0006 0.007 0.01 0.02 0.05 0.1 0.0000153 0.000475 0.005 0.006 0.01 0.0458 0.1 0.0000154 0.00041 0.007 0.01 0.0429 0.1
HA 4 B psi 200 8400 13300 14000 15200 16200 16200 200 6250 9950 10200 11000 12600 12600 200 5380 8950 9400 10600 10600
300
400
600
0.0000169 0.000363 0.005 0.01 0.0456 0.1 0.0000176 0.000317 0.005 0.01 0.0468 0.1
200 4380 7200 7900 9000 9000 200 3630 5950 6600 7700 7700
800
18.8 18.8
200 15.7 13.4 18.8 15.7 18.8 13.8 15
300 14.1 12 18.4 15.7 18.4 13.8 15
400 12.9 11 18.1 15.5 18.1 13.8 15
500 12.1 10.3 18 14.4 18 13.8 15
600 11.4 9.7 17 13.5 17 13.8 15
650 11.2 9.5 16.7 13.2 16.7 13.8 15
700 11.1 9.4 16.3 12.9 16.3 13.3 14.4
750 10.8 9.2 16.1 12.6 16.1 12.1 13
800 10.6 9.1 15.9 12.4 15.9 10.2 10.8
850 10.4 0 15.7 12.1 15.7 8.4 8.7
900 10.2 0 15.5 0 15.5 6.5 6.5
16.3 17.5 13.8 15 16.3 17.5
16.3 17.5 13.8 15 16.3 17.5
16.3 17.5 13.8 15 16.3 17.5
16.3 17.5 13.8 15 16.3 17.5
16.3 17.5 13.8 15 16.3 17.5
16.3 17.5 13.8 15 16.3 17.5
15.5 16.6 13.3 14.4 15.5 16.6
13.9 14.8 12.1 13 13.9 14.8
11.4 12 10.2 10.8 11.4 12
9 9.3 8.4 8.7 9 9.3
6.5 6.5 6.5 6.5 6.5 6.5
y 1.24015748 1.476377953 1.476377953 1.24015748
I 0.403574766 0.30037016 0.506779371 0.403574766
Area 0.642 0.586 0.698 0.642
Geometric Chart Factor
Do / t 0 0 0 0 4 5 6 8 10
0 0
0 0
0 0
0 0
15 20 25 30 40 50 60 80 100 125 150 200 250 300 400 500 600 800 1000
0 0
0 0
0 0
0 0
0.34 0.4
0.0968 0.077
0.24 0.4
0.0982 0.0477
0.3 0.5
0.0484 0.025
0.3 0.4
0.0357 0.0246
0.3 0.4
0.0222 0.0155
0.3 0.4
0.0154 0.0108
0.2 0.4
0.0193 0.00812
0.24 0.4
0.0095 0.00516
0.2 0.4
0.00831 0.00364
0.2 0.4
0.00578 0.00257
0.2 0.4
0.00431 0.00194
0.3 0.5
0.00171 0.000976
0.2 0.4
0.00191 0.000881
0.2 0.4
0.00143 0.000666
0.2 0.4
0.000914 0.000429
0.2 0.4
0.000645 0.000305
0.2 0.4
0.000486 0.000231
0.2 0.4
0.000312 0.000149
0.2 0.4
0.000221 0.000106
A 0.0000176 0.000783
B psi 250 11300
Temp F 300 500 700 800 900 1000
B psi 4287.886388 3958.902227 3581.027406 3360.538908 3119.232525 0
Dt 300
Temp F
B psi
300 4287.886 500 3958.902
0.0000194 0.000675
250 9000
0.0000213 0.000564
250 6800
0.0000223 0.000505
250 5710
0.0000237 0.000428
250 4490
A 0.0000142 0.000463
B psi 200 6500
Temp F 100 400 700 900 1200 1300
B psi 4173.887112 3800.859272 3518.100201 3303.179826 2866.311905 0
Dt 122
Temp F
B psi
100 4173.887 400 3800.859
0.0000159 0.000391
200 5000
0.000017 0.000338
200 4000
0.0000181 0.000315
200 3500
0.000283 0.001
2840 4160
A 0.0000184 0.000605
B psi 250 8400
Temp F 100 400 700 900 1200 1300
B psi 4124.822725 3808.826893 3483.475922 3298.034737 3011.61584 0
Dt 122
Temp F
B psi
100 4124.823 400 3808.827
0.0000199 0.000585
250 7500
0.0000218 0.000533
250 6250
0.0000228 0.00051
250 5660
0.0000247 0.00046
250 4660
A 0.0000139 0.000535
B psi 200 7550
Temp F 100 400 600 800 900
B psi 4197.183442 3812.42821 3625.200093 3190.01744 0
Dt 122
Temp F
B psi
100 4197.183 400 3812.428
0.0000158 0.000361
200 4630
0.0000165 0.000319
200 3890
0.000275 0.0015
3170 4270
A 0.0000143 0.0006
B psi 200 8400
Temp F 100 300 400 600 800 1300
B psi 4161.986714 3911.230147 3900.459527 3586.417743 3404.222009 0
Dt 122
Temp F
B psi
100 4161.987 300 3911.23
0.0000153 0.000475
200 6250
0.0000154 0.00041
200 5380
0.0000169 0.000363
200 4380
0.0000176 0.000317
200 3630
950 10 0 15.4 0 15.4 4.5 4.5
1000 9.8 0 15.3 0 15.3 2.5 2.5
1050 9.5 0 14.5 0 14.5 0 0
1100 8.9 0 12.4 0 12.4 0 0
1150 7.7 0 9.8 0 9.8 0 0
1200 6.1 0 7.4 0 7.4 0 0
1250 4.7 0 5.5 0 5.5 0 0
4.5 4.5 4.5 4.5 4.5 4.5
2.5 2.5 2.5 2.5 2.5 2.5
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
ric Chart Factor
A 0 0 0 0 0 500 600 0.000371176 0.000280632
Value of A for Do / t >= 4 0.000297292
0.089845942 0.059986365 0.04125447 0.028920908 0.018108116 0.012590646 0.010296025 0.006215898 0.004548948 0.00319478 0.002401286 0.001485862 0.00108128 0.000814702 0.000523398 0.000371176 0.000280632 1.807255846E-04 1.283830812E-04
Table No.
B psi 4287.886388 4146.531737 4101.649698 4168.968059 4134.403491
Min A Value 0.00001 0.00001 0.00001 0.00001 0.00001
Value of A 0.000297292
CS 2 HA 1 HA 2 HA 3 HA 4
1300 3.7 0 4.1 0 4.1 0 0
1350 2.9 0 3.1 0 3.1 0 0
1400 2.3 0 2.3 0 2.3 0 0
1450 1.8 0 1.7 0 1.7 0 0
1500 1.4 0 1.3 0 1.3 0 0
1600 0 0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
Value of A for Do / t < 4 3.25195E-06
Value of A 0.000297292
Actual Value of A 0.000297292
Value of B psi 4101.649698
Table No.
Allowable Pressure Pa 9.403140068
HA 2