Stresses
Type of stress
load
figure
Cir. Mem Stress
P
4C or 3C
NΦ/(P/RP/Rm)
curve
formula
P
1C or 2C-1
MΦ/P
Mc
3A
NΦ/{Mc/(P/Rβ* R2 m)}
Mc
1A
Ml
Au
Al
Bu
Bl
Given data
Cu
Cl
Du
Dl
Parameter
MOC
Vessel thickness
tn
=
12
mm
-4.93
-4.93
-4.93
-4.93
-3.75
-3.75
-3.75
-3.75
corroded vessel Thk
T
=
9
mm
-10.36
10.36
-10.36
10.36
-17.01
17.01
-17.01
17.01
Corrosion Allowance
CA
=
3
mm
Kn* [N Φ/{Mc/(P/Rβ* R 2m)}]*{Mc / (P/RT* β * R2 m)}
-8.18
-8.18
8.18
8.18
Vessel I.D
Di
=
2000
mm
MΦ/{Mc/(P/Rβ* Rm)}
Kb* (P/RMΦ / {Mc/(P/Rβ* Rm)} )*(6 Mc /{ R m *β* T2})
-107.74
107.74
107.74
-107.74
Nozzle O.D
do
=
219.08
mm
3B
NΦ/{ML/(P/Rβ* R m)}
Kn* [N Φ/{ML/(P/Rβ* R )}]*{ML / (P/RT* β * R m)}
Pd
=
1
MPa
Ml
1B or 1B-1
MΦ/{ML/(P/Rβ* Rm)}
Kb* (P/RMΦ / {ML/(P/Rβ* Rm)} )*(6 ML /{ Rm *β* T })
S
=
138
MPa
E
P
4C or 3C
Nx /(P/RP/Rm)
P
1C or 2C-1
Mx /P
Mc
3A
Nx /{Mc/(P/Rβ* R2 m)}
Mc
1A
Ml
Ml
Circumferential stresses
Cir. Bending Stress
Cir. Mem Stress
Cir. Bending Stress
Cir. Mem Stress
Cir. Bending Stress
Kn* {NΦ /(P/ Rm)}*(P/ Rm *T)
Kb* (P/RMΦ /P)*(6P/T2)
2
2
m
2
-24.62
2
-24.62
-41.54
24.62
41.54
24.62
41.54
Design Pressure
-41.54
Vessel Max all. Strees
Joint Eff.
Longitudianal stresses
Long. Mem Stress
Long. Bending
Stress
Long. Mem Stress
Long. Bending
Stress
Long. Mem Stress
Long. Bending
Stress
-4.93
-4.93
-4.93
-4.93
-3.75
-3.75
-3.75
Kb* (P/RMx /P)*(6P/T2)
-17.60
17.60
-17.60
17.60
-10.56
10.56
-10.56
10.56
Kn* [N x/{Mc/(P/Rβ* R 2m)}]*{Mc / (P/RT* β * R2 m)}
-13.72
-13.72
13.72
13.72
Mx /{Mc/(P/Rβ* Rm)}
Kb* (P/RMx / {Mc/(P/Rβ* Rm)} )*(6 Mc /{ R m *β* T2})
-55.81
55.81
55.81
-55.81
3B
Nx /{ML/(P/Rβ* R2 m)}
Kn* [N x/{ML/(P/Rβ* R 2m)}]*{ML / (P/RT* β * R2 m)}
-8.15
-8.15
8.15
8.15
1B or 1B-1
Mx /{ML/(P/Rβ* Rm)}
Kb* (P/RMx / {ML/(P/Rβ* Rm)} )*(6 ML /{ R m *β* T2})
-61.01
61.01
61.01
-61.01
Mt
Mt/(2*П*r2o*T)
3.77
3.77
3.77
3.77
Vc
Vc/(П*ro*T)
0.61
0.61
-0.61
-0.61
-3.75
Radial load
=
1
P
=
2639.8
Long Shear
N
Vl
=
1878.8
Cir. Shear
N
Vc
=
1878.8
Cir. Moment
N
Mc
=
1679560.6
N-mm
Long. Moment
Torsional Moment
Stress concen. Factor
Stress concen. Factor
ML
=
1679560.6
N-mm
Mt
=
2558578.8
N-mm
Kn
Kb
=
=
1.0
1.0
Vl
VL/(П*ro*T)
3.77
3.77
3.77
3.77
β=(ro/Rn)ro/Rn)
=
γ=(ro/Rn)Rm/Ts)
=
Rm
=
Parameter for membrane
stress due to P
Parameter for bendibg
stress due to P
P/ Rm *T
=
6P/T2
=
=
MPa
Parameter for membrane
stress due to Mc
Parameter for bendibg
stress due to Mc
Mc / (ro/Rn)T* β * R2m)
6 Mc /{ Rm *β* T2}
=
Parameter for membrane
stress due to ML
ML / (ro/Rn)T* β * R2m)
=
Mpa
6 ML /{ Rm *β* T2}
=
Geometric parameter
-0.61
-0.61
0.61
0.61
Vessel mean Radiaus
Vessel Stress summation
Au
Al
Bu
Bl
Cu
Cl
Du
Dl
111.71
111.71
111.71
111.71
111.71
111.71
111.71
111.71
Cir. PL(summation of Cir Membrane stresses)
-29.55
-29.55
19.69
19.69
-11.93
-11.93
4.43
4.43
Cir. Q(summation of Cir Bending stress)
-51.90
51.90
31.17
-31.17
-124.75
124.75
90.72
-90.72
.01<β<.33
0.095
Geometric parameter
Type of stress
Unit
Given Loads
Kn* {N x/(P/ R m)}*(P/ Rm *T)
Shear Stresses
Shear stress due to
Torsional moment
Shear stress due to
Vc
Shear stress due to
Vl
Value
111.94
1007.5
0.2911277 Mpa
195.54074 MPa
Cir. Pm (from code formula)
Mpa
1.9325348 MPa
1298.0192 MPa
1.9325348 MPa
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
55.36
55.36
55.36
55.36
55.36
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
-0.61
-17.48
-66.37
0.00
-0.61
-17.48
66.37
0.00
-0.61
9.97
45.26
0.00
9.97
-45.26
0.00
0.61
3.22
43.41
0.00
-0.61
3.77
Au
111.71
82.16
30.26
3.77
Al
111.71
82.16
134.06
3.77
Bu
111.71
131.40
162.57
3.77
Bl
111.71
131.40
100.23
Cu
111.71
99.78
-24.97
Check for allowable stresses
Pm
Pm+PL
Pm+PL+Q
Allowed
Actual
138.00
207.00
414.00
111.71
131.40
224.52
Result
PASSED
PASSED
PASSED
3.77
0.61
3.77
Cl
111.71
99.78
224.52
Mpa
MPa
0.61
3.77
Du
111.71
116.14
206.86
Parameter for bendibg
stress due to ML
3.77
Dl
111.71
116.14
25.41
Max Value
111.71
131.40
224.52
1298.0192 MPa
5<γ<300
