SUVIDYA INSTITUTE OF TECHNOLOGY Mumbai : 400055
SAMPLE DESIGN CALCULATION - VESSEL ED ON LUGS REFERENCE
PRESSURE VESSEL DESIGN MANUAL BY D.R.MOSS - (PROCEDUCE 3-7, #2)
SEISMIC DESIGN - VESSEL OF LUGS IN THIS CALCULATION, EFFECT DUE TO WIND LOAD IS IGNORED AS EQUIPMENT IS LOCATED WITHIN BUILDING. DESIGN CHECK IS CONDUCTED FOR SEISMIC LOAD
D
SHELL OUTSIDE DIAMETER
90.00 in
A
LENGTH OF R.F. PAD
28.00 in
B
WIDTH OF R.F. PAD
21.00 in
C
WIDTH OF BASE PLATE
17.00 in
E
HEIGHT OF LUG
23.00 in
F
THICKNESS OF BASE PLATE
1.00 in
G
THICKNESS OF GUSSETS
0.56 in
H
DISTANCE BETWEEN TWO GUSSETS
J
PLEASE REFER ABOVE SKETCH
2.00 in
M
PLEASE REFER ABOVE SKETCH
2.50 in
X, a
( BCD - D ) / 2
15.00 in
12.00 in
W
WEIGHT OF VESSEL - OPERATING CONDITION
60000.00 lb
N
NO. OF LUG S
ts
THICKNESS OF SHELL
0.5 in
tp
THICKNESS OF PAD
0.5 in
4 Nos.
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SUVIDYA INSTITUTE OF TECHNOLOGY Mumbai : 400055
SAMPLE DESIGN CALCULATION - VESSEL ED ON LUGS REFERENCE
PRESSURE VESSEL DESIGN MANUAL BY D.R.MOSS - (PROCEDUCE 3-7, #2)
SEISMIC DESIGN - VESSEL OF LUGS IN THIS CALCULATION, EFFECT DUE TO WIND LOAD IS IGNORED AS EQUIPMENT IS LOCATED WITHIN BUILDING. DESIGN CHECK IS CONDUCTED FOR SEISMIC LOAD
CALCULATE FORCES FIND OUT BASE SHEAR ; ( V ) SITE
MUMBAI, INDIA
ZONE
III
(As per procedure given in IS:1893-2002)
Z
ZONE FACTOR
I
IMPORTANCE FACTOR (Table - 6 - IS:1893-2002)
1
R
RESPONSE REDUCTION FACTOR (Table - 7 - IS:1893-2002)
4
Sa/g
AVERAGE RESPONSE ACCELERATION CO-EFFICIENT
0.16
2.5
Cl. 6.4.5 - IS:1893 - 2002, Soil - Medium soil sites Ah
DESIGN HORIZONTAL ACCELERATION SPECTRUM
Ah
Z x I / R x (Sa/g)
0.016
LATERAL FORCES ; (Fh) Fh
Ah . W
960 lb
HORIZONTAL SHEAR PER LUG; (Vh) Vh
Fh / N
240 lb
VERTICAL FORCE ; (Fv) Fv
W
60000.00 lb
VERTICAL SHEAR PER LUG; (Vv) Vv
Fv / N
15000 lb
2 of 11
SUVIDYA INSTITUTE OF TECHNOLOGY Mumbai : 400055
SAMPLE DESIGN CALCULATION - VESSEL ED ON LUGS REFERENCE PRESSURE VESSEL DESIGN MANUAL BY D.R.MOSS - (PROCEDUCE 3-7, #2) SEISMIC DESIGN - VESSEL OF LUGS ALL LUGS ARE MOUNTED OFF-CTR W.R.T PRICIPLE AXIS VERTICAL LOAD ON LUGS -- ( SIDE CONDITON ), (Q2) Q2
Vv
15000 lb
LONGITUDINAL MOMENT ; ( ML) ML
Q2 . (a)
180000 lb.in
CIRCUMFERENTIAL MOMENT ; (MC) MC
Vh . (a)
2880 lb.in
2C1
H+ 2.G
16.12 in
2C2
E
23.00 in
2d1
B
21.00 in
2d2
A
28.00 in
c1
2C1 / 2
8.06 in
c2
2C2 /2
11.50 in
d1
2d1 / 2
10.50 in
d2
2d2/ 2
14.00 in
CALCULATE RADIAL LOAD ; (f) f
3. ML / 4 . C2
16749.3797 lb
STRESS CONCENTRATION FACTOR TO BE FOLLOWED FOR WELD AT ATTACHMENT 2r/ H
RATIO OF WELD RADIUS TO ATTACHEMNT
2
Kn
STRESS CONCENTRATION FACTOR FOR TENSION ( 5-20)
1.4
Kb
STRESS CONCENTRATION FACTOR FOR BENDING (5-20)
1.2
STRESS CONCENTRATION FACTOR TO BE FOLLOWED FOR WELD AT END OF PAD r/t
RATIO OF WELD RADIUS TO ATTACHEMNT
1
Kn
STRESS CONCENTRATION FACTOR FOR TENSION ( 5-20)
1.5
Kb
STRESS CONCENTRATION FACTOR FOR BENDING (5-20)
1.3 3 of 11
SUVIDYA INSTITUTE OF TECHNOLOGY Mumbai : 400055
SAMPLE DESIGN CALCULATION - VESSEL ED ON LUGS REFERENCE
PRESSURE VESSEL DESIGN MANUAL BY D.R.MOSS - (PROCEDUCE 3-7, #2) SEISMIC STRESS ANALYSIS
COMPUTE GEOMETRIC PARAMETER At Edge of Attachment
At Edge of Pad
Rm = (D - ts + tp) / 2 t = ( ts + tp ) 2
2 0.5
= Rm / t
45.00
in
Rm = (D - ts ) / 2
0.707
in
t = ts
in
0.5
in
= Rm / t
63.640
1 = C1 /Rm
44.75 89.5
0.179
1 = d1 /Rm
0.117
0.34
2 = d2 /Rm
0.313
2 = 4C2 /3Rm 1/ 2
0.526
1/ 2
0.375
1. 2)
0.061
1. 2)
0.037
1/ 2 < 1
COMPUTE EQUIVALENT VALUE
At Edge of Attachment a for N
At Edge of Pad
0.322
a for N
0.268
b for Nx
0.278
b for Nx
0.223
c for M
0.228
c for M
0.172
0.286
d for Mx
0.231
d for Mx
COMPUTING STRESS FOR A RADIAL LOAD ( AT THE EDGE OF ATTACHMENT) Fig
VALUE FROM FIGURE
a for N
MEMBRANE 0.322
5-17A
N Rm / f
1.8
b for Nx
0.278
5-17B
Nx Rm / f
6.2
BENDING c for M
0.228
5-18A
M / f
0.045
d for Mx
0.286
5-18B
Mx / f
0.015
COMPUTING RADIAL LOAD AND MOMENTS ( AT THE EDGE OF ATTACHMENT) MEMBRANE
FORCES AND MOMENT
N
(N Rm / f) * f / Rm
669.98
lb
Nx
(Nx Rm / f) * f/ Rm
2307.69
lb
M
(M / f) * f
753.72
lb.in
Mx
(Mx / f) * f
251.24
lb.in
BENDING
COMPUTING RADIAL LOAD AND MOMENTS ( AT THE EDGE OF ATTACHMENT) MEMBRANE
STRESS CALCULATION
N
669.98
= Kn.Nt
1326.48
PSI
Nx
2307.69
x = Kn.Nxt
4569.00
PSI
753.72
= 6Kb.Mt2
10853.60
PSI
BENDING M
4 of 11
SUVIDYA INSTITUTE OF TECHNOLOGY Mumbai : 400055
Mx
251.24
x = 6.Kn.Mxt2
3617.87
PSI
5 of 11
SUVIDYA INSTITUTE OF TECHNOLOGY Mumbai : 400055
SAMPLE DESIGN CALCULATION - VESSEL ED ON LUGS REFERENCE
PRESSURE VESSEL DESIGN MANUAL BY D.R.MOSS - (PROCEDUCE 3-7, #2) SEISMIC STRESS ANALYSIS
COMPUTE GEOMETRIC PARAMETER At Edge of Attachment
At Edge of Pad
Rm = (D - ts + tp) / 2 t = ( ts + tp ) 2
2 0.5
= Rm / t
45.00
in
Rm = (D - ts ) / 2
0.707
in
t = ts
in
0.5
in
= Rm / t
63.640
1 = C1 /Rm
44.75 89.5
0.1791111111
1 = d1 /Rm
0.117
0.34
2 = d2 /Rm
0.313
2 = 4C2 /3Rm 1/ 2
0.526
1/ 2
0.375
1. 2)
0.061
1. 2)
0.037
1/ 2 < 1
COMPUTE EQUIVALENT VALUE
At Edge of Attachment
At Edge of Pad
a for N
0.322
a for N
0.268
b for Nx
0.278
b for Nx
0.223
c for M
0.228
c for M
0.172
d for Mx
0.286
d for Mx
0.231
COMPUTING STRESS FOR A RADIAL LOAD ( AT THE EDGE OF PAD) Fig
VALUE FROM FIGURE
a for N
MEMBRANE 0.268
5-22A
N Rm / f
2.7
b for Nx
0.223
5-22B
Nx Rm / f
8.5
BENDING c for M
0.172
5-23A
M / f
0.046
d for Mx
0.231
5-23B
Mx / f
0.014
COMPUTING STRESS FOR A RADIAL LOAD ( AT THE EDGE OF PAD) MEMBRANE
FORCES AND MOMENT
N
(N Rm / f) * f / Rm
1004.96 lb
Nx
(Nx Rm / f) * f/ Rm
3163.77 lb
BENDING M
(M / f) * f
770.47 lb.in
Mx
(Mx / f) * f
234.49 lb.in
COMPUTING STRESS FOR A RADIAL LOAD ( AT THE EDGE OF PAD) MEMBRANE
STRESS CALCULATION
N
1004.96
= Kn.Nt
3014.89
PSI
Nx
3163.77
x = Kn.Nxt
8225.81
PSI
770.47
= 6Kb.Mt2
24038.71
PSI
BENDING M
6 OF 11
SUVIDYA INSTITUTE OF TECHNOLOGY Mumbai : 400055
Mx
234.49
x = 6.Kb.Mxt2
7316.13
PSI
7 OF 11
SUVIDYA INSTITUTE OF TECHNOLOGY Mumbai : 400055
SAMPLE DESIGN CALCULATION - VESSEL ED ON LUGS REFERENCE
Pressure Vessel Design Manual by Dennis R. Moss
COMBINED STRESS ANALYSIS - LUG WITH REINFORCEMENT PAD (AT THE EDGE OF ATTACHMENT)
STRESS DUE TO
00
900
x 1800
2700
00
N
900
1800
2700
1326.48
1326.48
1326.48
1326.48
10853.60
10853.60
10853.60
10853.60
270.00
270.00
270.00
270.00
12450.08
12450.08
12450.08
12450.08
MEMBRANE Nx
4569.00
4569.00
4569.00
4569.00
RADIAL LOAD , f M BENDING Mx
3617.87
3617.87
3617.87
3617.87
135.00
135.00
135.00
135.00
8321.86
8321.86
8321.86
8321.86
= P. Rm / ts INTERNAL PRESSURE , P x = P. Rm / 2 ts
Total
COMBINED STRESS ANALYSIS - LUG WITH REINFORCEMENT PAD (AT THE EDGE OF RF PAD)
STRESS DUE TO
00
900
x 1800
2700
00
900
3014.89
N
1800
3014.89
2700
3014.89
3014.89
MEMBRANE Nx
8225.81
8225.81
8225.81
8225.81
RADIAL LOAD , f M
24038.709677 24038.709677 24038.709677 24038.709677
BENDING Mx
7316.1290323 7316.1290323 7316.1290323 7316.1290323
= P. Rm / ts
270
270
270
270
27323.60
27323.60
27323.60
27323.60
INTERNAL PRESSURE , P x = P. Rm / 2 ts
Total
135
135
135
135
15676.94
15676.94
15676.94
15676.94
NOTES 1. ALL STRESS VALUE IN ABOVE TABLE IS IN PSI. 2. INTERNAL DESIGN PRESSURE CONSIDERED IN ABOVE CALCULATION IS 3.0 BARG RESULT MAXIMUM ALLOWABLE TENSILE STRESS : S :20000 PSI FOR SHELL MATERIAL WELD T EFFICIENCY : 1.0 ALLOWABLE LIMIT FOR COMBINED STRESS IN CASE OF SEISMIC LOADING : 1.5 . S. E = 30000 PSI ALL STRESS ARE WELL WITHIN LIMIT HENCE DESING IS SAFE
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SUVIDYA INSTITUTE OF TECHNOLOGY Mumbai : 400055
SAMPLE DESIGN CALCULATION - VESSEL ED ON LUGS REFERENCE
Pressure Vessel Design Manual by Dennis R. Moss
DESIGN OF LUG
h
HEIGHT OF LUG
23.00 in
e
(BCD - SHELL OD) / 2
12.00 in
b
e+M
14.50 in
tb
THICKNESS OF BASE PLATE
tc
THICKNESS OF COMPRESSION PLATE - NOT PROVIDED
ANGLE OF
X
DISTANCE BETWEEN C.L. OF GUSSET
15.56 in
l
LENGTH OF BASE PLATE
17.00 in
tg
GUSSET THICKNESS
ts
SHELL THICKNESS
0.5 in
tp
THICKNESS OF R.F. PAD
0.5 in
n
NO. OF GUSSETS PER LUG
1.00 in 0 in 61 deg
0.56 in
2 Nos
KINDLY NOTE THAT WE HAVE NOT INCLUDED COMPRESSION PLATE AND HENCE DIMENSION tc AND y IS NOT APPLICABLE
9 OF 11
SUVIDYA INSTITUTE OF TECHNOLOGY Mumbai : 400055
SAMPLE DESIGN CALCULATION - VESSEL ED ON LUGS REFERENCE
Pressure Vessel Design Manual by Dennis R. Moss
DESIGN OF GUSSETS AND BASE PLATE tg
ASSUMED THICKNESS OF GUSSETS
Q
VERTICAL LOAD ON LUG - REFER PAGE 3 FOR Q2
ANGLE OF
0.56 in 15000 lb 61 deg.
Qa
Q. SIN
13110.0 lb
Qb
Q. COS
7260.0 lb
C
b. SIN
6.34 in
A
tg. C
3.55 in2
Fy
YIELD STRESS OF GUSSETS
36000 PSI
Fa
ALLOWABLE AXIAL STRESS : 0.4 . Fy
14400 PSI
Fb
ALLOWABLE BENDING STRESS : 0.6. Fy
21600 PSI
Z
tg. C / 6
Mb
Qb / n A
1022.87 lb.in
fa
Qa / n. A
1847.08 PSI
fb
Mb / Z
2
3.75 in3
272.89 PSI
INDUCED AXIAL AND BENDING STRESS ARE WITHIN LIMIT AND HENCE PROVIDED GUSSETS THICKNESS IS ADEQUATE DESIGN OF BASE PLATE
a
BEAM WIDTH UNDER BASE PLATE
l1
DISTANCE BETWEEN TWO GUSSETS
BOLT HOLE DIAMETER
6 in 15.00 in 0.98 in
BENDING MOMENT IN TENSION ; (Mb) Mb
Q.l / 6
42500 lb.in
UNIFORM BEARING LOAD ON BASE PLATE ; (w) w
Q / a. l
147.06 PSI
10 OF 11
SUVIDYA INSTITUE OF TECHNOLOGY Mumbai - 400 055
SAMPLE DESIGN CALCULATION - VESSEL ED ON LUGS REFERENCE
Pressure Vessel Design Manual by Dennis R. Moss
DESIGN OF GUSSETS AND BASE PLATE BENDING MOMENT DUE TO BEARING LOAD Mb
w. l12 / 10
Mb
GREATER MOMENT FROM TENSION OR BEARINGG
3308.82 lb.in 42500 lb.in
REQUIRED BASE PLATE THICKNESS ; (tb') tb'
( 6. Mb / (b - ) Fb)0.5
tb
PROVIDED BASE PLATE THICKNESS
0.935 in 1.00 in
HENCE DESIGN IS SAFE -x-x-x-
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