Type of stress
load
figure
curve
Circu
Cir. Mem Stress
Cir. Bending Stress
Cir. Mem Stress
Cir. Bending Stress
Cir. Mem Stress
Cir. Bending Stress
P
4C or 3C
NΦ/(P/RP/Rm)
P
1C or 2C-1
MΦ/P
Mc
3A
NΦ/{MMc/(P/Rβ* RR2m)}
Mc
1A
MΦ/{MMc/(P/Rβ* RRm)}
Ml
3B
NΦ/{MML/(P/Rβ* RR2m)}
Ml
1B or 1B-1
MΦ/{MML/(P/Rβ* RRm)}
Long
Long. Mem Stress
Long. Bending
Stress
Long. Mem Stress
Long. Bending
Stress
Long. Mem Stress
Long. Bending
Stress
P
4C or 3C
Nx/(P/RP/Rm)
P
1C or 2C-1
Mx/P
Mc
3A
Nx/{MMc/(P/Rβ* RR2m)}
Mc
1A
Mx/{MMc/(P/Rβ* RRm)}
Ml
3B
Nx/{MML/(P/Rβ* RR2m)}
Ml
1B or 1B-1
Mx/{MML/(P/Rβ* RRm)}
S
Shear stress due to
Torsional moment
Shear stress due to
Vc
Mt
Mt/(2*П*r2o*T)
Vc
Vc/(П*ro*T)
Shear stress due to
Vl
VL/(П*ro*T)
Vl
Vesse
Type of stress
Cir. Pm (from code formula)
Cir. PL(summation of Cir Membrane stresses)
Cir. Q(summation of Cir Bending stress)
Long. Pm (from code formula)
Long. PL(summation of Long Membrane stresses)
Long. Q(summation of Long Bending stress)
Shear Pm (from code formula)
Shear PL (shear Vc+Vl)
Shaer Q(due to Mt)
Type of stress
Pm
Pm+PL
Pm+PL+Q
Check f
Pm
Pm+PL
Pm+PL+Q
Stresses
formula
Au
Al
Bu
Circumferential stresses
Kn* R{MNΦ /(P/ RRm)}*(P/ RRm *T)
-4.93
-4.93
-4.93
-10.36
10.36
-10.36
Kn* R[NΦ/{MML/(P/Rβ* RR2m)}]*{ML / R(P/RT* Rβ R* RR2m)}
-24.62
-24.62
24.62
Kb* R(P/RMΦ / R{MML/(P/Rβ* RRm)})*(6 RML /{ RRm R*β* RT2})
-41.54
41.54
41.54
Kb* R(P/RMΦ /P)*(6P/T2)
Kn* R[NΦ/{MMc/(P/Rβ* RR m)}]*{Mc / R(P/RT* Rβ R* RR m)}
2
2
Kb* R(P/RMΦ / R{MMc/(P/Rβ* RRm)})*(6 RMc /{ RRm R*β* RT2})
Longitudianal stresses
Kn* R{MNx/(P/ RRm)}*(P/ RRm *T)
-4.93
-4.93
-4.93
Kb* R(P/RMx /P)*(6P/T2)
-17.60
17.60
-17.60
Kn* R[Nx/{MML/(P/Rβ* RR2m)}]*{ML / R(P/RT* Rβ R* RR2m)}
-8.15
-8.15
8.15
Kb* R(P/RMx / R{MML/(P/Rβ* RRm)})*(6 RML /{ RRm R*β* RT2})
-61.01
61.01
61.01
Kn* R[Nx/{MMc/(P/Rβ* RR2m)}]*{Mc / R(P/RT* Rβ R* RR2m)}
Kb* R(P/RMx / R{MMc/(P/Rβ* RRm)})*(6 RMc /{ RRm R*β* RT2})
Shear Stresses
Mt/(2*П*r2o*T)
3.77
3.77
3.77
Vc/(П*ro*T)
0.61
0.61
-0.61
VL/(П*ro*T)
of stress
Vessel Stress summation
Au
Al
Bu
111.71
111.71
111.71
Cir Membrane stresses)
-29.55
-29.55
19.69
of Cir Bending stress)
-51.90
51.90
31.17
55.36
55.36
55.36
-13.08
-78.61
0.00
0.61
-13.08
78.61
0.00
3.22
43.41
0.00
m code formula)
m code formula)
Long Membrane stresses)
of Long Bending stress)
m code formula)
shear Vc+Vl)
(due to Mt)
of stress
Pm
m+PL
+PL+Q
Pm
m+PL
+PL+Q
3.77
Au
111.71
82.16
30.26
Al
111.71
82.16
134.06
0.61
-0.61
3.77
3.77
Bu
111.71
131.40
162.57
Check for allowable stresses
Allowed
Actual
138.00
207.00
414.00
Result
111.71
PASSED
131.40
PASSED
224.52
PASSED
Stresses
Bl
Cu
Cl
Du
Dl
-4.93
-3.75
-3.75
-3.75
-3.75
10.36
-17.01
17.01
-17.01
17.01
-8.18
-8.18
8.18
8.18
-107.74
107.74
107.74
-107.74
24.62
-41.54
-4.93
-3.75
-3.75
-3.75
17.60
-10.56
10.56
-10.56
10.56
-13.72
-13.72
13.72
13.72
-55.81
55.81
55.81
-55.81
3.77
3.77
3.77
3.77
-3.75
8.15
-61.01
3.77
-0.61
-0.61
-0.61
0.61
0.61
Bl
Cu
Cl
Du
Dl
111.71
111.71
111.71
111.71
111.71
Mpa
19.69
-11.93
-11.93
4.43
4.43
-31.17
-124.75
124.75
90.72
-90.72
MPa
Mpa
55.36
55.36
3.22
-43.41
0.00
-0.61
-17.48
-66.37
0.00
3.77
Bl
111.71
131.40
100.23
55.36
Cu
111.71
99.78
-24.97
55.36
-17.48
66.37
0.00
55.36
9.97
45.26
0.00
Mpa
MPa
9.97
-45.26
0.00
-0.61
-0.61
0.61
0.61
3.77
3.77
3.77
3.77
Cl
111.71
99.78
224.52
Du
111.71
116.14
206.86
Dl
111.71
116.14
25.41
Max Value
111.71
131.40
224.52
Given data
Parameter
MOC
Vessel thickness
tn
=
12
mm
corroded vessel Thk
T
=
9
mm
CA
=
3
mm
Di
=
2000
mm
do
=
219.08
mm
Pd
=
1
MPa
S
=
138
MPa
E
=
1
P
=
2639.8
N
Vl
=
1878.8
N
Vc
=
1878.8
N
Mc
=
1679560.6
N-mm
ML
=
1679560.6
N-mm
Mt
=
2558578.8
N-mm
Kn
Kb
=
=
1.0
1.0
β=(ro/Rn)ro/Rn)
=
Corrosion Allowance
Vessel I.D
Nozzle O.D
Design Pressure
Vessel Max all. Strees
Joint Eff.
Value
Unit
Given Loads
Radial load
Long Shear
Cir. Shear
Cir. Moment
Long. Moment
Torsional Moment
Stress concen. Factor
Stress concen. Factor
Geometric parameter
Geometric parameter
.01<β<.33
0.095
γ=(ro/Rn)Rm/Ts)
=
111.94
5<γ<300
Rm
=
Parameter for membrane
stress due to P
P/ Rm *T
=
Parameter for bendibg
stress due to P
6P/T2
=
Parameter for membrane
stress due to Mc
Parameter for bendibg
stress due to Mc
Mc / (ro/Rn)T* β * R2m)
=
Vessel mean Radiaus
Parameter for membrane
stress due to ML
Parameter for bendibg
stress due to ML
1007.5
0.2911277 Mpa
195.54074 MPa
1.9325348 MPa
6 Mc /{ Rm *β* T2}
=
ML / (ro/Rn)T* β * R2m)
=
1298.0192 MPa
1.9325348 MPa
6 ML /{ Rm *β* T2}
=
1298.0192 MPa
.01<β<.33
5<γ<300
