Input Data:
Pipeline Diameter
Design Pressure
Installation Temperature
Max. Design Temperature (U/G)
Min. Design Temperature (U/G)
SMYS of linepipe material
Youngs modulus of pipe
Steel expansion co‐efficient
Poisson/s ratio
Corrosion Allowance
Pipeline Deisgn factor
Joint efficiency factor
Temperature derating factor
Min. Required Thickness(incl. CA)
Selected wall thickness (incl. CA)
Selected wall thickness without CA
D
P
Ti
T2
T1
S
E
α

CA
f
e
T
tmin
ts
t
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
168.3
23.0
21
85
4
241
207000
0.0000116
0.3
3.0
0.72
1.0
1
11.15
14.27
11.27
mm
Mpa
Deg C
Deg C
Deg C
MPa
MPa
mm /m / oC
Hoop stress
Sh
Sh
= PD / 2t
= 171.73469 MPa
Longitudinal Stress due to Internal Pessure
SP
SP
Stc
Stt
=
=
=
=
Longitudi. stress (fully restrained)
SLC
SLt
=  (Sh‐P)+Eα (T2‐ Ti)
= Sh‐P)+Eα (T1‐ Ti)
Allowable equivalent stress
SAE
SAE
= 0.9 x S x T
=
216.9 MPa
mm
mm
mm
mm
Restrained Pipe Stress Calculation
Thermal stress (Compressive)
Thermal stress (Tensile)
Sh
51.520408
Eα (Ti ‐ T2)
Eα (Ti ‐ T1)
MPa
=
=
‐153.6768 MPa
40.8204 MPa
=
=
‐109.06 Mpa
85.44 Mpa
Bending Stress based on Von mises Equivalent stress Criteria
Seq= (SL2‐SLSH+SH2)

0.9ST
(As per ASME B 31.8/ASME B 31.4)
SL
= {SH±SH2‐4(SH2‐(0.9ST)2)]}/2
SL1
SL2
=
=
243.75
‐72.01
Mpa
Mpa
Max. value of Net Longitudinal Stress, SL =
‐72.01
Mpa
Value > 0.9ST
Value<=0.9ST
Allowable Bending Stress values
SB1
SB1
SB2
SB2
=
=
=
=
SL‐SLc
37.04
SL‐SLt
‐157.45
352.80
SB4
158.31
Mpa
Maximum Allowable Bending Stress
|SB| =
37.044018 Mpa
Minimum Allowable Elastic bend radius
Allowable Bending Stress
Min. Allowable Bending Radius
SB
R
37.04
ED/2SB
470.23
=
=
=
SB3
Mpa
Mpa
m
=
2794
D