Calculation of Trunnion (KELLOGG'S Method)
1/8
Input Data
9952T
P ro je c t N ° :
8 "-P -51 0 -0 1 4 8 -B 5 A -N
L in e N ° :
NC/Node :
5 1 0 -C N -l 1 1 9 / 2 0 1 0
Header
Sh
Material
:A llow able Stress a t H ot T em perature ( M p a ) :
1 3 7 ,9
1 3 7 ,9
O utside D iam eter (m m ) :
2 1 9 ,0 8
Sc : A llow able Stress at R oom T em p eratu re (M pa):
T hick n ess o f pipe ( m m ) :
8 ,1 7 8 8
C orrosion A llow ance (m m ) :
T hick n ess o f p a d ( m m ) :
0
M ill
Tolerance (
1,5
% ):
12,5
Trunnion
Design Conditions
O utside D iam eter (m m ) :
1 6 8 ,2 8
D esign T em perature(°C ):
T h ick n ess o f pipe ( m m ) :
7 ,1 1 2
D esign Pressure (K g/cm 2g):
E ffective length
(m m ) :
U pset Pressure
615
T est Pressure
(K g/cm 2g):
(K g/cm 2g):
80
2 2 ,5
0
3 3 ,7 5
Loading in N
Case
W eig h t + Pressure
+ D esign Pressure+
FC
FL
FA
96
282
6402
109
1511
5036
W eight + U pset Pressure + T herm al ( U p s e t)
0
0
0
W eig h t + D esign P ressure + Im p act ( O c c a s io n a l)
0
0
0
124
309
7340
W eig h t
T herm al ( O perating )
W eig h t + T est Pressure (T e st condition)
STRESSES RESULTS
HEADER STRESSES (Mpa)
L o n g itu d in al
C ase
W +P
TRUNNION STRESSES (Mpa)
C ircum ferential
C ase
E quiv a le n t Stress
N /A
Passed
W +P
P assed
W + P + T (O p e )
P assed
Passed
W + P + T (O p e )
P assed
W + P + T (U p set)
P assed
N /A
W + P + T (U p se t)
W + P + Im pact Loac
P assed
N /A
W + P + Im pact L o a d (O c c )
N /A
Passed
W + P (T e st)
W + P (T e st)
HEADER STRESSES (Mna)
N /A
N /A
P assed
TRUNNION STRESSES (Mpa)
L ongitudinal
C ircu m ferl
N /A
N /A
7 1 ,4
1 3 7 ,9
W +P
1 ,4 9
W + P + T (O p e )
7 2 ,8 3
5 9 ,3 2
N /A
2 0 6 ,9
W + P + T (O p e )
7 ,5 9
W + P + T (U p set)
2 1 ,7 9
N /A
N /A
2 0 6 ,9
W + P + T (U p se t)
0 ,0 0
W + P + Im pact Loac
2 1 ,7 9
N /A
N /A
1 8 3 ,4
W + P + Im pact L o a d (O c c )
0 ,0 0
N /A
N /A
9 6 ,9
1 3 7 ,9
W + P (T e st)
1 ,6 7
C ase
W +P
W + P (T e st)
C ircu m fer2
A llow able
C ase
Trunnion Check Node 710
E quiv a le n t Stress
CALCULATION SHEET FOR TRUNNIONS
9952T
P r o je c t N ° :
L in e N °
:
8 " -P -5 1 0 -0 1 4 8 -B 5 A -N
NC/Node :
5 1 0 -C N -l 1 1 9 / 2 0 1 0
80
22,5
0
33,75
Design Temperature (°C)
Design pressure (barg )
Upset pressure ( Barg ) ( if required )
Test pressure ( Barg )
Upset pressure in Barg
22,5
Material
137, 9
137,9
1,5
12,5
Allowable Stress at Metal Temp (Mpa)
Allowable Stress at Room Temp (Mpa)
Corrosion allowance ( mm )
Mill tolerance ( % )
Header
2 1 9 , 075
8,1788
Outside diameter (mm)
Thickness of pipe+pad (mm)
Thickness included (mm)
5,65645
Trunnion
168,275
7 , 112
615
Outside diameter ( mm )
Thickness ( mm )
Effective lenght ( mm )
==>Thickness included ( mm )
Loads in N
C ircum ferential
loading
Longitudinal
Radial
loading
Loading
96
282
6402
109
1511
5036
0
0
0
0
0
0
124
309
7340
Weight + Design Pressure
Weight+Design Pressure+Thermal (Normal)
Weight+Upset Pressure+Thermal (Upset)
Weight+Design Pressure+lmpact Load (Occasional)
Weight +Test Pressure ( Test condition )
Trunnion Check Node 710
6,223
STRESS CALCULATION
Header stresses ( Weight+Pressure)
59040,00
173430,00
6402,00
2,65
7,80
12,11
Circumferential Moment Me ( Nmm )
Longitudinal Moment Ml ( Nmm )
Radial Load ( N )
fc Circumferential force ( N/mm )
fl Longitudinal force ( N/mm )
fa Axial force ( N/mm )
Condition fl/fc
2 If 0.5=< fl/fc =< 3 then apply condition 2
Else apply condition 1
2,94
Condition 1
N/A
N/A
f1 Longitudinal Bending ( N/mm )
f2 Circumferential Bending ( N/mm )
n/a
Sext Longitudinal Bending Stress ( Mpa )
Spl Longitudinal Pressure Stress ( Mpa)
Ssum = Sext + Spl ( Mpa )
<SH=
137,90 Mpa
Sext Circumferential Bending Stress ( Mpa )
Spc Circumferential Pressure Stress ( Mpa )
Ssum = Sext + Spc ( Mpa )
<SH=
137,90 Mpa
<SH=
137,90 Mpa
n/a
N/A
n/a
n/a
N/A
Condition 2
30,52
27,78
43,57
71,35
f2 Circumferential Bending ( N/mm )
Sext Circumferential Bending Stress ( Mpa )
Spc Circumferential Pressure Stress ( Mpa )
Ssum = Sext + Spc ( Mpa )
Trunnion Check Node 710
Header stresses ( Th+W+P ) Normal
67035,00
929265,00
5036,00
3,01
41,78
9,53
13,86
Circumferential Moment Me ( Nmm )
Longitudinal Moment Ml ( Nmm )
Radial Load ( N )
fc ( N/mm)
fl ( N/mm)
fa ( N/mm )
Condition fl/fc
1 If 0.5=< fl/fc =< 3 then apply condition 2
Else apply condition 1
Condition 1
17,30
f1 Longitudinal Bending ( N/mm )
f2 Circumferential Bending ( N/mm )
51,04
Sext Longitudinal Bending Stress ( Mpa )
56,07
21,79 Spl Longitudinal Pressure Stress ( Mpa)
72,83 Ssum = Sext + Spl ( Mpa )
<S=
206,85 Mpa
15,75 Sext Circumferential Bending Stress ( Mpa )
43,57 Spc Circumferential Pressure Stress ( Mpa )
59,32 Ssum = Sext + Spc ( Mpa )
<S=
206,85 Mpa
<S=
206,85 Mpa
Condition 2
N/A
n/a
n/a
N/A
f2 Circumferential Bending ( N/mm )
Sext Circumferential Bending Stress ( Mpa )
Spc Circumferential Pressure Stress ( Mpa )
Ssum = Sext + Spc ( Mpa )
Trunnion Check Node 710
Header stresses ( Th+W+P ) Upset
0,00
0,00
0,00
0,00
0,00
0,00
10,00
Circumferential Moment Me ( Nmm )
Longitudinal Moment Ml ( Nmm )
Radial Load ( N )
fc ( N/mm)
fl ( N/mm)
fa ( N/mm )
Condition fl/fc
1 If 0.5=< fl/fc =< 3 then apply condition 2
Else apply condition 1
Condition 1
0,00
0,00
f1 Longitudinal Bending ( N/mm )
f2 Circumferential Bending ( N/mm )
o,oo Sext Longitudinal Bending Stress ( Mpa )
21,79 Spl Longitudinal Pressure Stress ( Mpa)
21,79 Ssum = Sext + Spl ( Mpa )
n/a
n/a
N/A
Sext Circumferential Bending Stress ( Mpa )
Spc Circumferential Pressure Stress ( Mpa )
Ssum = Sext + Spc ( Mpa )
<S=
206,85 Mpa
<S=
206,85 Mpa
<S=
206,85 Mpa
Condition 2
N/A
f2 Circumferential Bending ( N/mm )
N/A
N/A
Sext Circumferential Bending Stress ( Mpa )
Spc Circumferential Pressure Stress ( Mpa )
Ssum = Sext + Spc ( Mpa )
N/A
Trunnion Check Node 710
Header stresses ( Weight+Pressure+Impact Load )
0,00
0,00
0,00
0,00
0,00
0,00
10,00
Circumferential Moment Me ( Nmm )
Longitudinal Moment Ml ( Nmm )
Radial Load ( N )
fc Circumferential force ( N/mm )
fl Longitudinal force ( N/mm )
fa Axial force ( N/mm )
Condition fl/fc
1 If 0.5=< fl/fc =< 3 then apply condition 2
Else apply condition 1
Condition 1
0,00
0,00
o.oo
21.79
21.79
o,oo
n/a
N/A
f1 Longitudinal Bending ( N/mm )
f2 Circumferential Bending ( N/mm )
Sext Longitudinal Bending Stress ( Mpa )
Spl Longitudinal Pressure Stress ( Mpa)
Ssum = Sext + Spl ( Mpa )
<SH=
183,41 Mpa
Sext Circumferential Bending Stress ( Mpa )
Spc Circumferential Pressure Stress ( Mpa )
Ssum = Sext + Spc ( Mpa )
<SH=
183,41 Mpa
<SH=
183,41 Mpa
Condition 2
N/A
f2 Circumferential Bending ( N/mm )
n/a
Sext Circumferential Bending Stress ( Mpa )
Spc Circumferential Pressure Stress ( Mpa )
Ssum = Sext + Spc ( Mpa )
n/a
N/A
Trunnion Check Node 710
Header stresses ( Test condition)
76260,00
190035,00
7340,00
3,43
8,54
13,88
Circumferential Moment Me ( Nmm )
Longitudinal Moment Ml ( Nmm )
Radial Load ( N )
fc ( N/mm)
fl ( N/mm)
fa ( N/mm )
Condition fl/fc
2 If 0.5=< fl/fc =< 3 then apply condition 2
Else apply condition 1
2,49
Condition 1
N/A
N/A
f1 Longitudinal Bending ( N/mm )
f2 Circumferential Bending ( N/mm )
n/a
Sext Longitudinal Bending Stress ( Mpa )
Spl Longitudinal Pressure Stress ( Mpa)
Ssum = Sext + Spl ( Mpa )
<S=
137,90 Mpa
Sext Circumferential Bending Stress ( Mpa )
Spc Circumferential Pressure Stress ( Mpa )
Ssum = Sext + Spc ( Mpa )
<S=
137,90 Mpa
<S=
137,90 Mpa
n/a
N/A
n/a
n/a
N/A
Condition 2
34,64
f2 Circumferential Bending ( N/mm )
Sext Circumferential Bending Stress ( Mpa )
Spc Circumferential Pressure Stress ( Mpa )
96,89 Ssum = Sext + Spc ( Mpa )
31,53
65,36
Trunnion Check Node 710
Trunnion Stresses
Trunnion stresses ( Weight + pressure)
183203,95
10415085,42
3168,14
1,48
0,09
Bending moment ( Nmm )
I ( mm4 )
Section ( mm2)
Bending Stress ( Mpa )
Shear Stress ( Mpa )
1,49 Equivalent Stress (Mpa)
<S=
137,90 Mpa
<S=
206,85 Mpa
<S=
206,85 Mpa
Trunnion stresses ( W+Th+P ) Normal
931679,74
Bending moment ( Nmm )
7,53 Bending Stress ( Mpa )
0,48 Shear Stress ( Mpa )
7,59 Equivalent Stress (Mpa)
Trunnion stresses ( W+Th+P ) Upset
o,oo Bending moment ( Nmm )
o,oo Bending Stress ( Mpa )
o,oo Shear Stress ( Mpa )
0,00 Equivalent Stress (Mpa)
Trunnion stresses ( Weight + pressure+lmpact Load)
0,00
10415085,42
3168,14
Bending moment ( Nmm )
I ( mm4 )
Section ( mm2)
o,oo Bending Stress ( Mpa )
o,oo Shear Stress ( Mpa )
0,00 Equivalent Stress (Mpa)
<S=
183,41 Mpa
< SC =
137,90 Mpa
Trunnion stresses ( Test condition)
204765,45
1,65
Bending moment ( Nmm
Bending Stress ( Mpa )
0,11 Shear Stress ( Mpa )
1,67 Equivalent Stress (Mpa)
Trunnion Check Node 710