load check for shoe welded support.xls
TRANSCRIPT
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STEEL MEMBER (or PLATE) - for Shoe / Line stop directly welded on bare pipe / pad
CS:
Member material = BS EN 10025 Grade S275 JR or equivalentYield strength of the structural member material,
Sy-member = N / mm2
LTCS:
Member material = BS EN 10113 Grade S355 NL/MLYield strength of the structural member material,
Sy-member = N / mm2
SS:
Member material = SS 316 PLATEYield strength of the structural member material,
Sy-member@250C = N / mm2
PIPE
Sy, Yield Strength of the pipe material, in N/mm
2
.from ASME Section II Part D, Subpart 1, Table Y-1.
Temperature, C -->
CS / LTCS
(for Structural member welded to pipe / pad of CS / LTCS)
SS
(for Structural member welded to pipe / pad of SS)
275.0
355.0
139.0
200 250 300 350 400 450 500
CS A106 Gr. B
- up to 24" NB & t 25.4 mm in all CS pipe classses), and
- 3" NB to 8" NB in CS-FBE lined pipe class 158028-X : lining
can be rapaired after shoe welding)
207 198 188 177 167 158 150
CS API 5L Gr. B
- 4" NB to 24" NB in CS-FBE lined pipe class 018028-X :
lining can be rapaired after shoe welding), and
- 3" NB to 8" NB in CS-Galvanised pipe class 018011-X - tobe galvanised after prefabrication).
Not available in ASME Section II Part D, Subpart 1, Table Y-1.
Hence considered same as that of A106 Gr. B / A333 Gr. 6 / A671
CC65, because Sh as per ASME B 31.3 of this material is also same
as these materials.
LTCS A333 Gr. 6- up to 24" NB in all LTCS pipe class), and
- up to 24" NB in CS pipe class, for t > 25.4 mm ), and
- in Alloy 825 pipe classes, for 8" NB to 24" NB LTCS
cladded with Alloy 625)
207 198 188 177 167 158 150
LTCS A671 CC65 Class-22
- above 24" NB, in all CS & LTCS pipe classes), and- in Alloy 825 pipe classes, for 24" NB & above, LTCS
cladded with Alloy 625)
207 198 188 177 167 158 150
A312 Gr.TP316/316L (Dual certified) - up to 8" NB
A358 Gr. TP316/316L Class 1 (Dual certified) - 10" NB &above
148 139 132 127 123 121 118
continued
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Sy, Yield Strength of the pipe material, in N/mm2.
from ASME Section II Part D, Subpart 1, Table Y-1.
Temperature, C -->
SDSS (Super Duplex Stainless Steel)
(for Structural member welded to pipe / pad of SDSS)
ALLOY 825 Low Temp. (-50C to 250C)
(for Structural member welded to pad of Alloy 825)
200 250 300 350 400 450 500
continued from previous page
- up to 4" NB for all SDSS pipe classes, and
- up to 2" NB for all GRE pipe classes.420 404 396 393 393 - -
A928 S32750 Cl. 1- 6" NB & above for all SDSS pipe classes.
Not available in ASME Section II Part D, Subpart 1, Table Y-1.
Hence considered same as that of A790 UNS S32750, because this
material is also S32750.
B423 UNS N08825 - up to 6" NB. 201 193 186 181 177 175 174
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Pag
WELDING ELECTRODES, AND ALLOWABLE WELD STRESS
Pipe material Electrode
CS A106 Gr. B
CS - up to 24" NB,
for t 25.4 mm
(0C
to LTCS A333 Gr. 6
250C) - up to 24" NB, CS
for t > 25.4 mm
BS EN 10026 BS 5950
& LTCS A671 CC65 Grade S275 JR CLASS 42
- above 24" NB
[ Support codes :
CS - FBE CS API 5L Gr. B S1(CS), S3(CS), LS1(CS) ] 0.4 Sy-pipe @ 250C
LINED - up to 24" NB,- 3" NB [Only for or
& above CS-FBE Lined 150#,
and CS, Galvanized.] Sy-member
& or
Sy-pipe @ 250C Sy-member Su-weld
= N/mm2
= N/mm2
= N/mm2
0.3 Su-weld x 0.707
CS - Galv.
- 3" NB
& above Sy-pipe @ 250C Sy-member 0.3 Su-weld x 0.707
= N/mm2
= N/mm2
= N/mm2
= N/mm2
LTCS LTCS
LTCS A333 Gr. 6
(-50C - up to 24" NB, BS EN 10113
to Grade S355 NL/ML BS 5950 Sy-pipe @ 250C
250C) CLASS 42
LTCS A671 CC65 [ Support codes : or
- above 24" NB S1(LTCS), S3(LTCS),
& LS1(LTCS) ] Sy-member
or
ALLOY Sy-pipe @ 250C Sy-member Su-weld
825 = N/mm = N/mm = N/mm 0.3 Su-weld
x 0.707
Low Temp.
- 8" NB
& above, Sy-pipe @ 250C Sy-member 0.3 Su-weld x 0.707
(cladded) = N/mm2
= N/mm2
= N/mm2
= N/mm2
Pipe class
catagory
Structural material
(for Shoe / Line stop directlywelded on
bare pipe / pad)
Allowable weld stress
0.4
198 275 500
0.4 0.4
79.2 110 106.1 79.2
0.4
0.4
198 355 500
0.4 0.4
79.2 142 106.1 79.2
continued
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Pipe material Electrode
SS A312 Gr.SS TP316/316L LTCS
(Dual certified) (on SS pad)
(-20C - up to 8" NB,
to BS EN 10113 0.4 Sy-pipe @ 250C
250C) SS A358 Gr. Grade S355 NL/ML
TP316/316L or
(Dual certified) [ Support codes :
[Pipe class : - 10" NB & above S1(SS), S3(SS), LS1(SS) ] Sy-member
013411-X
033411-X or
063411-X Sy-pipe @ 250C Sy-member Su-weld
063421-X = N/mm2
= N/mm2
= N/mm2
0.3 Su-weld x 0.707
093411-X
153411-X]
Sy-pipe @ 250C Sy-member 0.3 Su-weld x 0.707
= N/mm2
= N/mm2
= N/mm2
= N/mm2
SS A312 Gr.
TP316/316L
(Dual certified) SS
SS - up to 8" NB,
SS 316 0.4 Sy-pipe @ 250C
(-73C SS A358 Gr.
to TP316/316L or
250C) (Dual certified) [ Support codes : S5]
- 10" NB & above Sy-member
[Pipe class :
013461-X or
093461-X Sy-pipe @ 250C Sy-member@250C Su-weld
153461-X] = N/mm2
= N/mm2
= N/mm2
0.3 Su-weld x 0.707
Sy-pipe @ 250C Sy-member 0.3 Su-weld x 0.707
= N/mm2
= N/mm2
= N/mm2
= N/mm2
Pipe class
catagory
Structural material
(for Shoe / Line stop directlywelded on
bare pipe / pad)
Allowable weld stress
continued from previous page
?
0.4
139 355
0.4 0.4
55.6 142 0 55.6
?
0.4
139 139
0.4 0.4
55.6 55.6 0 55.6
continued
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Pipe material Electrode
SDSSSDSS A790
(-20C UNS S32750 LTCS
to - up to 4" NB, (on SDSS pad)
250C)
BS EN 10113 0.4 Sy-pipe @ 250C
& SDSS A928 S32750 Grade S355 NL/ML
- 6" NB & above or
GRE [ Support codes :
- up to S1(SS), S3(SS), LS1(SS) ] Sy-member
2" NB,
or
& Sy-pipe @ 250C Sy-member Su-weld
= N/mm2
= N/mm2
= N/mm2
0.3 Su-weld x 0.707CS - FBE
LINED
- up to Sy-pipe @ 250C Sy-member 0.3 Su-weld x 0.707
2" NB, = N/mm2
= N/mm2
= N/mm2
= N/mm2
LTCS
(on Alloy 825 pad)
ALLOY 825 BS EN 10113
B423 UNS N08825 Grade S355 NL/ML 0.4 Sy-pipe @ 250C
ALLOY - up to 6" NB,
825 [ Support codes : orLow Temp. S1(AS), S3(AS),
LS1(AS) ] Sy-member
(-50C
to or
250C) Sy-pipe @ 250C Sy-member Su-weld
= N/mm2
= N/mm2
= N/mm2
0.3 Su-weld x 0.707
Sy-pipe @ 250C Sy-member 0.3 Su-weld x 0.707
= N/mm2
= N/mm2
= N/mm2
= N/mm2
ALLOY
400 /
Cu-Ni
(Nickel -
Copper
Alloy)
Pipe class
catagory
Structural material
(for Shoe / Line stop directlywelded on
bare pipe / pad)
Allowable weld stress
0 142
continued from previous page
?
0.4
404 355
0.4 0.4
0.4 0.4
161.6 142
77.2 142 0 77.2
No welded supports.
?
0.4
193 355
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Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
Fz
Hy Hx
Fy
FzHz
Fx
////////////////////////////////////////////////////
e
Max. stress
at this point
Weld analysis
done for this
weld at pipe
to shoe
interface.
x
'/////////////////////////////////////////////////////////////////////////////
b
'//////////////////////////////////////////////////
///////////////////////////
d
pipe
axis
sectional plan view of shoe at pipe andattachment interface
x
h
hy
Fy
y y
y
x
z (up)
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Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
INPUT :
STEEL MEMBER
Member material = BS EN 10025 Grade S275 JR or equivalentYield strength of the structural member material,
Sy-member = N / mm2
Hot Allowable Stress
Sh = N / mm2
WELDING ELECTRODE
Welding Electrode material = CLASS 42 BS 5950
Ultimate tensile strength of the Welding Electrode material,
Su-weld = N / mm2
(As per BS 5950-1 2000, Section 3.2.3 , Table 10 )
Line Pressure
P = bar (g)
P = N / mm2
Temperature, C -->
CS / LTCS
(for Structural member welded to pipe / pad of CS / LTCS)
A333 Gr. 6 (up to 16" NB)
A671 CC60 EFW (18" NB & above)
ALLOWABLE STRESS ON WELD
Sweld-allow = Allowable weld stress for the welding
Sweld-allow = Taken from Sheet "Weld-Pipe to Shoe or Stop"
Sweld-allow = N / mm2
158
180 172 162 153
450 200
from ASME Section II Part D Table Y-1.
207
144 189
196 188 177 167
182189
275.0
(As per BS 5950-1 Clause 6.8.5 Table 37, for S275 material, matching electrode is Class 35. However as per
contract specification ADCO DOC. No. 30.99.75.0704 Rev. E, for structural welding all electrodes shall be E70XX to
AWS D1.1. Therefore Class 42 electrode as per BS 5950 is specified in the Project WPS, which is equivalent to
E70XX to AWS D1.1.)
250
500.00
260 300 350 400
19.60
200
Sy, Yield Strength of the pipe material, in N/mm2.
207
79.20
198
1.96
138.0
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Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
INPUT FOR STRUCTURAL PROPERTIES
SHOE:
Shoe made up of: 1/2 UB 254 x 102 x 25
Plate thk. d = mm b = mm Hy = mm
Pipe
Pipe NB = " Sch = CA = mm
D = Pipe Outside Dia = mm
R = Pipe Radius = mm
tp = Pipe thk = mm
t = Pipe thk with CA = Pipe thk - CA mm
= - mm
= mm
hx
=
1.0
6
=6
mm
2
250
hx
hx 3
d=
250
60.32
2
mm
3.91
125
2
2
2
30.16
b
2.91
40
100
3.91 1.0
mm
mm
mm
mm
=
hy =
hy =
hy
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Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
Calculation of Weld Properties:
= mm3
( b x d )
( x )
= mm
=
=
= mm2
=
=
= mm2
Iwy-y
=
2 3
2
2
20833.3
Iwx-x
2
xd[2
125
]
x
hx
4500
)
= 4
=
2250
2
2
[ ]2
2604167
d
6
3
2604166.667
3
(
12
=
=
Zwy-y
Zwx-x
4500
250
Iwy-y
=
Iwy-y
Iwy-y
Iwy-y
Iwx-x
Iwx-x
=
Iwx-x
b
6
3
2
Iwx-xb
b
Zwx-x
Zwx-x
Zwy-y
Zwy-y
Iwx-x
b
6
1500
hy
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Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
= Length of Weld
= x
= mm
Jweld = Polar moment of inertia of weld joint = Iw z = Iw xx + Iw yy
= + = mm3
S = specified max weld size = mm
w = Fillet Weld LEG size
= Minimum of or or
= Minimum of or or
= mm
MOMENT ARM :
Hx =
= H + e
where,
e = possible additional moment arm due to
possibility of bearing plate / wear pad / steel packing at site
or thermal movement of pipe.
(considered as max. mm - all together.)
Therefore,
Hx = +
= mm
Hy =
=
= mm
Hz =
Hz = mm (considered max as 100 mm, for calculation purposes)
d
6.00
Moment arm, for calculating moments acting at pipe to shoe interface due to
loading along x axis (Fx)
2608667
6
S
6.00
Moment arm, for calculating moments acting at at pipe to shoe interface due to
loading along y axis
2.91
2604167 4500
25
Pipe thk
2.91
2
WL
WL
WL
Eccentricity for Torsion (Mz) at pipe to shoe interface due to loading along x
axis (Fx)
125
100 25
500
b
H
100
100
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Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
CALCULATION BASED ON WELD STRENGTH:
MAXIMUM ALLOWABLE FORCE /mm BASED ON WELD
fw allowable = Sweld-allow x w
= x
= N/mm
fwresultant = Sz2 + Sx2 + Sy2 .(i)where;
fwresultant = Resultant weld loading
Sz = Weld loading along Z
Sx = Weld loading along X
Sy= Weld loading along Y
Sz = (Bending Stress) Lateral + (Bending Stress) Axial + (Tensile Stress) Vertical
Mx My
Zx Zy
Fy . Fx .
.
.
.
.
.Sy = Hz+()
79.20 2.91
)
)
230.5
+
)()(
( ]
Fx
(
+
+
Zwx-x
).
+
+)
+
Sx =
To calculate / consider maximum MzConsidering maximum possible eccentricity for
Fy (lateral load) = b/2, and
Considering for maximum possible eccentricity
Fx (axial load) = 1/2 of stopper width = Hz
Fz(
Fx .
+WL
[
Mz
2
Sy =
FyWL
Fy )
Sz =
(
Sx =
b
WL
hx
b
2
hy
)
.
Hx
(
( Fy
)
(Mz
( )
WL
+
Sz =
WL
Hy
)
hx
[ ] hy
Hz2
Hz
Fy)+
Jweld
Jweld
Jweld
Jweld
Zwy-y
Fx
( Fx ) (
+(Fx
WL
Fz
Mz = (Fy b )
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Page 13 of 313
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
Substituting in equation (i)
fwresultant = Fy . Fx .
.
.
Specifying FY & FX in terms of FZ
Let;FX = FX/Z * FZ
FY = FY/Z * FZ
. . . .
fwresultant = . . .
. . .
Solving for Fz:
fwresultant
. .
.
.
Let,
FX/Z =
FY/Z =
fwresultant = fw allowable
x x
x
x
Fx .
(+
2608666.667
+
100
hx)
}Fy ) [ Fy b )
)Fy
+Hx
Jweld
2
2
.
)
2
2
}
2. H
z
)]hx
2]+ Fz . hy. Hz
2Hz )+
}
}2
) 100
( 0.25 )
}+
0.5
++
+
0.5
( 0.5[
0.5
bFx .
}
+ .
Hx
+
(
(
(WL
Hz
Hz)
WL
Fx (
+
+WL 2
)
+
Fz
b
}2
3)
Jweld.
500
hy
1 )
}2
250
250
[x
2
2
2608666.667
0.25
( )( 0.5
FY/Z
FZ
1500
125
0.25
[
}
+ ) FX/Z
) FX/Zb
+
Zwy-y
0.25
20833.3
)FY/Z
FY/Z
+
WL
100
230.472
2)+
WL
Hy
500
500
b
FY/Z
Jweld
(
)(
Fz
Zwx-x+
Hy
1
FX/Z
))
(
)
FX/ZFz
Fz
FY/Z
b
2
WL+
)
( Fz )F
X/Z
}
+
2)+ [
FX/Z
FZ
( [( [
+
+ (FZ FY/Z
FX/Z
( ))+
[WL
+
+ +
+
}
FY/Z
2
FZ
2
WLHz )
2
FY/Z FX/Z )WL
(
Jweld
Hx )Zwy-yhx
Zwx-x)Hy
)0.25) ( x
2+
125)+
Fz =
=
Jweld
Zwx-xZwy-y
)Jweld
hy
{+
Fz-max weld
[ Filename : 154368447.xls.ms_off ice , Sheet : S-1 (2" to 4") calculation sht ]
. [Print Date : 6/27/2013]
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Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
Fz-max weld = N
= KN
230.472
2
0.044866667
230.472
0.04509
5.11087Fz-max weld
{ {+}
230.472
2
0.001093439 0.004393272
1.93008E-05
{} }
0.002013018 1.19561E-06
Fz-max weld =
=Fz-max weld
=Fz-max weld
Fz-max weld =
Fz-max weld =
+
5110.87
230.472
+
2
++
+
[ +
}
}
2
0.0012 0.041666667 0.002+
2
+ +
0.0005+
}2
0.001 1.15001E-0631.25 50 ]
230.472
[( +2
4.79172E-0531.25 50+ ] }
+ 0.001 9.34385E-05 }+2
0.0005 + 0.003893272
}2
0.044866667
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EPC FOR ASAB FFD PROJECT
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Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
CALCULATION BASED ON LOCAL STRESSES IN PIPE:
+ + Sh
L = Longitudinal
+ + Sh A = Axial
C = Circumferential
LP = Long. Press. Stress
CP = Circum. Press. Stress
. .
x . .
. .
.
.
.
Maximum local loading due to longitudinal moment (in N/mm length),
.
. .
. . .
SCP =
FL =
1.5
2.34 FC
IwY-Y
Sc
t
MY
FX Hx
RP
IwY-Y
1.5
This calculation is done with reference of eBMS trunnion load check calculation (Doc. No. SHJ-BMS-EN-VSS-L-3204-A).
FX/Z
IwY-Y
Hx
t1.5
hy
FZ
R0.5
R0.5
SCP
=
t1.5
1.17 FA
SA
SA
1.17 FL
LOCAL STRESSES (N/mm2)
t1.5
P R
=
=SLP
PRESSURE STRESSES (N/mm2)
hy
t
=
2
R0.5
hy
=
DUE TO EXTERNAL LOADING
LOCAL EXTERNAL LOADING (N/mm2)
The formulae used in this for trunion calculation for local stress are as per "Design of Piping Systems" by M.W.
Kellog Company based on the bending of a beam on an elastic foundation.
SL SLP
SL
SA
1.5SC
=
(Reference Doc. No. SHJ-
BMS-EN-VSS-L-3204-A))
(Reference Doc. No. SHJ-
BMS-EN-VSS-L-3204-A))
(Reference Doc. No. SHJ-
BMS-EN-VSS-L-3204-A))
(Reference Doc. No. SHJ-
BMS-EN-VSS-L-3204-A))
(Reference Doc. No. SHJ-
BMS-EN-VSS-L-3204-A))
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
Maximum local loading due to circumferential moment (in N/mm length),
.
. .
. . . hx
Maximum local loading due to axial moment (in N/mm length),
Sh + +
. x . .
.
. . . . x .
. .
.
.
Hy
MX hx
IwX-X
IwX-X
SLP
IwX-X
FZ=FA
FZ
WL
FY Hy hx
SA
R
Hx
R
t
IwY-Y
t
1.17
hy +1.5
2
FA
P
2+
FX/ZFZ
SL
FL
t1.5
R0.5
t1.5
1.5
=
Sh1.17 R
0.5
t1.5
P
R0.5
+ +
t1.5
R0.5
=
=
FC
1.17
1.17
1.5
1.5
1.5 Sh
FZ FY/Z
WL
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EPC FOR ASAB FFD PROJECT
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Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
Solving for Fz,
.
.
. . . x
. . .
x
x
x x x x x x
x x
x x x x x x
x x
+
= N
= KN
Sh + +
. x . .
. . . . hx x .
. .
.
.
. . . . x x
. x
x
0.5
2 2.91
1.5 1.17 R0.5
125 30.2
+
125
2
IwY-Y
=FZ-max (SL)
FZ-max (SL)
hy
-1381.96
FZ-max (SL)
1.5
1.5 ShxP R
-
FX/Z Hx
FZ-max (SL)
1.17
2.911.5
2.911.5
0.5
500
0.51.17
1.5 SC SA SCP
R0.5
1.5+
R
t1.5
FZ FY/Z Hy 1.5 1.17 R0.5
FZ
t
R-
+
t
1.5 Sh.
138
t1.5
P
WL
P R
P
R0.5
t1.5
WL
1 96
R0.5
FY/Z hx
IwX-X
+
1 5
1.17
t1.5
Hy 1.5
t1.5
IwX-X
t1.5
25346
t1.5
+
+
1.17 FA R0.5
2.34
FC
t
R0.5
25.35
1.17 R0.5
0.00777
FZ-max (SL)
=
=
FZ-max (SL) =
=
1.5 Sh
1.5 Sh
2.34
2.34
2604167+
FZ-max (SC)
30 16
x
30.16
1.530.16
t
t1.5
WL
0.5 125 125+
-
FZ-max (SL) =1.17
500
207 10.16
5.491812
4.96
5.49181
4.96
1.5 1.17
2604167
196.843
196.843
0.00388 0.00388
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
x x x x x xx x
+
= N
= KN
= Minimum of
= KN , = KN , = KN
= KN
Setting a standard for FY & FX
As,
FX = FX/Z * Fz min
FY = FY/Z * FZ min
FX/Z =
FY/Z =
FX = x
Axial Load, FX = KN
Fy = x
Lateral Load, Fy = KN
5.4918124.96409 4.964094500 500
0.25 3 + 1.5 1.17
-
FZ-max (SC) =
20.31395
5.491812
FZ-max (SC) =
2.34
207
186.686
0.04315 0.00388
100
Fzmin
3.970.25
Fz-max weld
1.9847901
0.992395
3.9725.35
3970
3.97
0.04703
FZ-max (SC)
FZ-max (SC)
=FZ-max (SC)
Fz-max 3.97
0.5 3.97
5.111 FZ-max (SC)FZ-max (SL)
0.5
0.25
186.686
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
MISCELLANEOUS CALCULATIONS
To Calculate,Fz-(x,y=0) = Fz maximum allowed, if Fx & Fy =0
Fz-(x,y=0) max based on weld strength calculations:
Fy . Fx .
.
.
Substituting Fx = 0 & Fy = 0
Solving for Fz, and substituting fw resultant with fw allowable
Fz-(x,y=0) max weld .
Fz-(x,y=0) max weld x
Fz-(x,y=0) max weld KN
Fz-(x,y=0) max based on local stress calculation due to longitudinal loading:
Sh + +
. x . . .
. t
FA R0.5
t1.5
t1.5
2
SLP
R0.5
+
+P R
]
1.5 Sh 1.17 FL 1.17
( Hy +Fy
Zwy-y Zwx-x WL+
Hx(Hz+ ( Fx )+ (Fx( )]b ) .
Fy b ) (
+hx }
2
WL 2
[( )Fx
[
}2
WL 2
2
= 230.472 500
+{
= 115.236
1.5 SL SA
fwresultant =
fwresultant =
fwallowable
x
( FzWL
+
+1.5
Jweld
Jweld
hy
=
( Fz
WL
}2
Hz(Fy )
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
But,
. .
Therefore,= (since, Fx=0)
Therefore equation reduces to,
x . .
.
Substituting
x . .
. .
Solving for Fz,
.
.
. .
.
x
x
x x
x
-
x x
x4.96
207 10.16
-
30.16
WL
1.5
R.
t
P R
2
500
1.96
2138.0
=
0.5
2.911.5
500
2.91
t
R0.5
+
1.17
t1.5
WL
1.5 ShR
1.17 FA
FZ
+
P1.5
hy
2
P
1.5 1.17 R0.5
FL =FX Hx
R
2
x
t1.5
Sh -1.5
WL
t1.5
FL 0
FzFa =
1.5
1.5
=Fz-(x,y=0) max SL
Fz-(x,y=0) max SL
Fz-(x,y=0) max SL =
1.5 1.17 5.492
Sh
1.5
t
1.17
30.16
IwY-Y
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
= N
Fz-(x,y=0) max SL = KN
Fz-(x,y=0) max based on local stress calculation due to circumferential loading:
Sh + +
. x . .
But, . .
Therefore, Fc =0 (since Fy=0)
Therefore, equation reduces to,
x . .
Substituting
x . .
.
Solving for Fz
.
x
.
=
Fz
WLFA =
1.17Sh
0.00388314
196.843024
Fy Hy hx
IwX-X
Fz-(x,y=0) max SC
Fc
1.5 1.17 R0.5
t
FZ R
-
+P
t1.5
WL
R
R
t1.5
t
t1.5
WL
R0.5
t
1.17
Sh
R0.5
P1.5
FA R0.5
+P
1.5 Sh 1.5
1.5
+ P R
t1.5
t1.5
t
R0.5
Fz-(x,y=0) max SL
Fz-(x,y=0) max SL
SC SA
1.17+ 1.52.34 FC
50.6917
FA
SCP
=
1.5
=
50691.7
1.5
1.5 Sh
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
x
x x
x
-
x x
x
= N
= KN
Thus,
Fz-(x,y=0) max weld KN
Fz-(x,y=0) max SL = KN
= KN
Therefore,
= KN
50.6917
= 115.236
Fz-(x,y=0) max 48.076
=Fz-(x,y=0) max SC
Fz-(x,y=0) max SC
30.16
30.16
0.00388314
186.686
1.5500
500
Fz-(x,y=0) max SC
48076
48.076
1.5 1.170.5
2.91=
1.5 x1.96
2.91
Fz-(x,y=0) max SC
Fz-(x,y=0) max SC
Fz-(x,y=0) max SC
138.0
48.076
=
20.31
5.492
4.964
1.5 1.17
-
207.0
-
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EPC FOR ASAB FFD PROJECT
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Page 23 o
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
To Calculate,
Fx-(y,z=0) = Fx maximum allowed, if Fy & Fz =0
Fx-(y,z=0) max based on weld strength calculations:
Fy . Fx .
.
.
Substituting Fy = 0 & Fz = 0
Fx .
Solving for Fx, and substituting fwresultant with fwallowable
Fx (y,z=0)-max weld =
hy
+
hx
2608666.667
Jweld
Jweld
2608666.667
Jweld
Jweld
hy
Jweld
Jweld
Fx (y,z=0)-max weld =
hy
Fx )+(
3( )2
125
500
100+{
2
1500100
125+
+
{ 1
Fy +
230.472
{ }2
)
+
2
WL 2
bFx
{
}2
WLZwx-x
2
Hz)+ (
2
WL 2(
Fy b[Fy )+
fwresultant =
+{(Fx
[(
+
]
) hx
hx
]Hz
)
2
{( )+(Hx
WL
)
(Fx x
2
Fx
(
Fz
(Hz
(. Hz
Zwx-x)
2
Zwx-x WL
+{ )
Hx
{
)}2
+{(2
fwallowable
x Hz
1 )+
(Hz
Fx
{(
Zwy-y
+
)
(
Hy
fwresultant = +{
.
) )
{(Hx )
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
Fx (y,z=0)-max weld = N
Fx (y,z=0)-max weld = KN
Calculating Fx-(y,z=0)max based on stress calculation due to longitudinal loading
Sh + +
. x . .
.
But,
Therefore,
= (since Fz = 0)
Therefore equation reduces to,
2756.52164
Fz
WLFA =
FA 0
0.006991
Fx (y,z=0)-max weld =
Fx (y,z=0)-max weld =
Fx (y,z=0)-max weld =
Fx (y,z=0)-max weld =
+ 1.32253E-084.61275E-05
2
0.08333 0.002
0.000115001+}
2
0.00479172
230.472
0.00694
+
+
230.472
R
t1.5
t1.5
2 t
1.17 FL R0.5
1.5 SL SA SLP
1.5 Sh
2.757
++1.5 1.17 FA R
0.5P
230.472
0.083609719
230.472
2
+
{
-
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
. .
.
Substituting,
. .
. . . .
. .
Solving for Fx,
.
.
. .
.
x
x
x x x
x
-
x x x
x
Fx-(y,z=0)max (SL) = N
-138.00
Fx-(y,z=0)max (SL)
125
2604166.67
207 10.157
5.49181209
4.96
125
1.5 Sh 1.17 FL R
0.5
+t1.5
P R
2 t
FL =FX Hx hy
IwY-Y
Fx-(y,z=0)max (SL)
Fx-(y,z=0)max (SL)
Fx-(y,z=0)max (SL)
Fx-(y,z=0)max (SL) =
1.17
=
30.16
25345.84
Hx
KN
125
IwY-Y
2604166.67
1.96
2 t
1.17 R0.5
t1.5
1.5
196.843
0.007766
2.91
hy
t1.5
IwY-Y
hy
0.5
1.17 125
1.5
2
x
1.5 Sh 1.17 Fx
30.16
=
2.91
=1.5
Hx
=
R0.5
P R
2
25.35
t
Sh -
P R
+
-
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
Calculating Fx-(y,z=0)max based on stress calculation due to circumferential loading
Sh + +
. x . .
But,
. . . hx
and
Therefore, Fc =0 & FA =0 (since Fy=0 & Fz= 0)
Therefore equation reduces to,
.
Therefore this equation is independent of Fx, and Fx does not have any effect on this stress check.
Fx-(y,z=0)max (SC) =
Thus,
Fx (y,z=0)-max weld =
Fx-(y,z=0)max (SL) =
Fx-(y,z=0)max (SC) =
Therefore,
Fx-(y,z=0)max = 2.76
2.76
25.35
Not applicable
Not applicable
KN
KN
R
t
KN
FA = FZ
WL
1.5 Sh P
=FZ FY/Z Hy
IwX-X
SA SCP
1.17 FAR0.5
FC
FC
P R
t1.5
t1.5
t
+1.5 R
0.5
+1.5 Sh 2.34
1.5 SC
-
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EPC FOR ASAB FFD PROJECT
JI-193
Page 27 of
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
To Calculate,
Fy-(x,z=0) = Fy maximum allowed, if Fx & Fz =0
Fy-(x,z=0) max based on weld strength calculations:
Calculating Fy-(x,z=0)max based on weld strength calculation
Fy . Fx .
.
.
Substituting Fx=0 & Fz=0
. .
.
Solving for Fy , and substituting fwresultant with fwallowable
0.000144 +
( 6.38E-05 )++( 2.07E-08 )
0.00599
Fy(x,z=0)-max weld =2
( 0.00002304 )
0.0048 0.002+()2
)22
+(
2608666.667
2608666.667
Jweld
Jweld
Jweld
Jweld
Jweld
Jweld
hyHz )]
2
hy+
HyFy
Fy
fwresultant =
Fy(x,z=0)-max weld =
Fy(x,z=0)-max weld =
Fy(x,z=0)-max weld =
(
hy
b
b
WL
)}
230.472
100
230.472
{(
({
+{250
+{(1 )+ 125 }
2
500 2( )250
}3 2
20833.3333 2))}
2
(2
+{Hy
Zwy-y
( ) }
2
2+
{(1
)+
2
2) hx
fwallowable
WL 2
2
}b )](Fy
}+[
2
b
+{(Fy )
] hx })2
( )
}2
WL 2
b
Fy
2
WL 2
Fx .(
+{[({( )Zwy-y
Fz() )( )}2
Zwy-y Zwx-x WL
Hy + +
fwresultant = )]
Hx
hx }+ + ){(Fx b +
+ )
. Hz) [(Fy Fx
+ )
{
{(Fy
[ Filename : 154368447 xls ms office Sheet : S-1 (2" to 4") calculation sht ]
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
Fy(x,z=0)-max weld = KN
Calculating Fx-(y,z=0)max based on stress calculation due to longitudinal loading
Sh + +
. x . .
.
But,
. .
and
Therefore, FL =0 & FA =0 (since Fx=0 & Fz= 0)
Therefore equation reduces to,
.
Therefore this equation is independent of Fy, and Fy does not have any effect on this stress check.
Fy-(x,z=0)max (SC) =
8.6895E-05
R
FL
Not applicable
24.72
Fy(x,z=0)-max weld = 24724.09209 N
FL
FA
1.5 Sh
=FX Hx hy
t
IwY-Y
=FZ
WL
P
0.009321758
Fy(x,z=0)-max weld =0
R0.5
230.472
1.17 1.5 1.17 FA
1.5 SL SA SLP
Fy(x,z=0)-max weld =
R
t+1.5 Sh +
P
t1.5
t1.5
2
R0.5
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 11/2" TO 4"
Calculating Fy(x,z=0)max based on local stress calculation due to circumferential loading:
Sh + +
. x . .
But,
Therefore FA=0 (since Fz=0),
Therefore equation reduces to,
. .
Substituting,
. . . hx
. . . .
.
Solving for Fy,
.
. .
.
x
x x x
x
x x x
x
Fy (x,z=0)-max (SC) = N1081.71
Fy (x,z=0)-max (SC) = 2.34 100
4500
207 20.31
5.491812
Fy (x,z=0)-max (SC)
2.34 R
Fy (x,z=0)-max (SC)
Fy (x,z=0)-max (SC)
Fy (x,z=0)-max (SC)
Fz
WL
=
1.5 Sh
FA
=Fc
FC R0.5
t1.5
+P
t
t1.5
FZ FY/Z Hy
-
= 1.08171 KN
IwX-X
1000.5
30.16
1.52.91
3
4500
=0.17258
4.96
-
3
186.69
x
1.5
2.34 Hy
t1.5
IwX-X
hx
2.91
x -1.96 30.2
1.5 SC
=
2.34
=
1.5 Sht1.5
SCP
2.34 R
SA
t
1.5 Sh 2.34 R
0.5
+
R
R0.5
P
Fy Hy hx
t1.5
IwX-X
R0.5
+FC
138.0
R0.5
1.5P R
t
1.5 1.17
Sh
+P
t
FA
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
sectional plan view of shoe at pipe andattachment interface
Fy
x
hy
x
hx
y y
'//////////
b-100
'
'/////////
'////////////
'///////////
d
i
e
axis
'////////////////////////////
' '///
/////
ds '///////////// '////////////
'//////////// '////////////
'///////////////
'///////////////
y
x
z (up)
l
Hy
'///////////'/////////////////////////////////////////////////////////////////////
Hx
Fy
FzHz
Fx
e
Max. stress at
this point
Weld analysis
done for this
weld at pipe to
shoe interface.
Fz
-
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
INPUT :
STEEL MEMBER
Member material = BS EN 10025 Grade S275 JR or equivalentYield strength of the structural member material,
Sy-member = N / mm2
Hot Allowable Stress
Sh = N / mm2
WELDING ELECTRODE
Welding Electrode material = CLASS 42 BS 5950
Ultimate tensile strength of the Welding Electrode material,
Su-weld = N / mm2
(As per BS 5950-1 2000, Section 3.2.3 , Table 10 )
Line Pressure
P = bar (g)
P = N / mm2
Temperature, C -->
CS / LTCS
(for Structural member welded to pipe / pad of CS / LTCS)
A333 Gr. 6 (up to 16" NB)
A671 CC60 EFW (18" NB & above)
ALLOWABLE STRESS ON WELD
Sweld-allow = Allowable weld stress for the welding
Sweld-allow = Taken from Sheet "Weld-Pipe to Shoe or Stop"
Sweld-allow = N / mm279.20
158 207
189 182 180 172 162 153 144 189
207 198 196 188 177 167
from ASME Section II Part D Table Y-1.
200 250 260 300 350 400 450 200
138.0
(As per BS 5950-1 Clause 6.8.5 Table 37, for S275 material, matching electrode is Class 35. However as per
contract specification ADCO DOC. No. 30.99.75.0704 Rev. E, for s tructural welding all electrodes shall be E70XX to
AWS D1.1. Therefore Class 42 electrode as per BS 5950 is specified in the Project WPS, which is equivalent to
E70XX to AWS D1.1.)
500.00
19.60
1.96
Sy, Yield Strength of the pipe material, in N/mm2.
275.0
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
INPUT FOR STRUCTURAL PROPERTIES
SHOE:
Shoe made up of: 1/2 UB 254 x 102 x 25
Plate thk. d = mm b = mm H = mm l = mm
ds = mm
Pipe
Pipe NB = " Sch = CA = mm
D = Pipe Outside Dia = mm
R = Pipe Radius = mm
tp = Pipe thk = mm
wp = Wear Pad = mm
t = Pipe thk with CA = Pipe thk - CA mm
= - mm
= mm
80
0.00
hx =80
mm2
hx = 40 mm
hy = 150 mm
hx =l
mm2
hy = b mm2
hy =300
mm2
168.3
84.14
7.11
7.11 1.0
6.11
6 300 100
6 40 1.0
10
-
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Calculation of Weld Properties:
b ( - ) . ( - )2
( - ) . ( - )2
( - ) . ( - )2
( - ) . ( - )2
( - ) x ( - )2
( - ) x ( - )2
( ) x ( )2
( ) x ( )2
( ) x ( ) ( ) x ( )
= mm3
( . ) x
( . ) x
( b . d ) ( . ) x
( x ) ( - ) x
( x ) ( - ) x
( ) x
= mm
=
=
= mm2
=
=
= mm2Zwx-x 4399.87
5117845400
4
12+
Iwx-x + 170594.667
4
2 12
36 512000 216+
=
Iwx-x
Iwx-x
Iwx-x
Iwx-x =
l 3 d 3 4
+ 803
34
63
4
12
12
d
+l
3
12
l3
d
+
d3
4
12
2
Iwy-y = +
4500000
4500000 + 1480000
=
74 200
+ 74 48400
2
Iwy-y
Iwy-y
Iwy-y
Iwy-y
Iwy-y
+
+ 80
+ 74 40000
2
100
2 2
6 300 80
2
220
100
12 2 2
+ l d
d b 80
+
+ 80
l d
6 300 100
2
bb 80
b
+ l d
2
74
1790800
+
l
Zwx-x Iwx-x
hx
Zwx-x 17599540
hy
Zwy-y 7770800
150
Zwy-y 51805.3
Iwx-x 175994.6667
Zwy-y Iwy-y
300 6
Iwx-x =
300
5400
2
2
=
=
2
2
2
] += 2 [ b .4
(d
)
2
]2
= 2 [ b .Iwx-x
= 3003
6
Iwy-y 7770800
6
2.7E+07= +
= b3
6
=
23
-
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
= Length of Weld
= x ( - x ) + x ( - )
= x ( - x ) + x ( - )
= x ( - ) + x ( )
= x ( ) +
= +
= mm
Jweld = Polar moment of inertia of weld joint = Iw z = Iw xx + Iw yy
= + = mm3
S = specified max weld size = mm
w = Fillet Weld LEG size
= Minimum of or or
= Minimum of or or
= mm
MOMENT ARM :
Hx =
= H + e
where,
e = possible additional moment arm due to
possibility of bearing plate / wear pad / steel packing at site
or thermal movement of pipe.
(considered as max. mm - all together.)
Therefore,
Hx = +
= mm
Hy =
=
= mm
Hz =
Hz = mm (considered max as 100 mm, for calculation purposes)
280 296
WL 560 296
WL 2
80
2 ds
6
WL 2 300 20 4 74
WL 2 300 2 10 4
4 l d
Moment arm, for calculating moments acting at at pipe to shoe interface due to
loading along y axis
H
Eccentricity for Torsion (Mz) at pipe to shoe interface due to loading along x
axis (Fx)
100
110.117
6.00
Moment arm, for calculating moments acting at pipe to shoe interface due to
loading along x axis (Fx)
25
110.1 25
135.117
Pipe thk d S
6.11 6.00 6.00
WL 856
7770800 175995 7946795
6
WL
WL 2 b
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EPC FOR ASAB FFD PROJECT
JI-193
Pag
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
CALCULATION BASED ON WELD STRENGTH:
MAXIMUM ALLOWABLE FORCE /mm BASED ON WELD
fw allowable = Sweld-allow x w
= x
= N/mm
fwresultant = Sz2 + Sx2 + Sy2 .(i)where;
fwresultant = Resultant weld loading
Sz = Weld loading along Z
Sx = Weld loading along X
Sy = Weld loading along Y
Sz = (Bending Stress) Lateral + (Bending Stress) Axial + (Tensile Stress) Vertical
Mx My
Zx Zy
Fy . Fx .
.
.
.
.
.
WL 2 JweldFx . Hz )] hy(Fy b )+ (
hy )WL Jweld
Sy = ( Fy )+ [
WL 2 Jweld
Sy = ( Fy )+ (Mz
Fx . Hz )] hx(Fy b )+ (
hx )WL Jweld
Sx = ( Fx )+ [
Hz )2
Sx = ( Fx )+ (Mz
To calculate / consider maximum MzConsidering maximum possible eccentricity for
Fy (lateral load) = b/2, and
Considering for maximum possible eccentricity
Fx (axial load) = 1/2 of stopper width = Hz
Mz = (Fy b )+ (Fx .
Hx )+ ( Fz )Zwx-x WL
Sz = ( Hy )+ (Zwy-y
475.2
Sz = + +Fz
WL
79.20 6.00
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EPC FOR ASAB FFD PROJECT
JI-193
Page 37 of 313
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Substituting in equation (i)
fwresultant = Fy . Fx .
.
.
Specifying FY & FX in terms of FZ
Let;FX = FX/Z * FZ
FY = FY/Z * FZ
. . . .
fwresultant = . . .
. . .
Solving for Fz:
fwresultant
. .
.
.
Let,
FX/Z =
FY/Z =
fwresultant = fw allowable
x x
x
x
150
}
2
856 2 7946794.6670.5 x 100
)]0.25 300
)++
{
0.25
)+
40 }2
856 2 7946794.6670.5 x 100 )]0.25 300 )++{ 0.5 )+
)2
51805.3 4400 856+ ]+
0.5
0.25
1
Fz-max weld =475.2
{ 0.25 110 ) 0.5 135.117
hy }(FY/Z b 2
WL 2 JweldFX/Z . Hz )])++{
FY/Z )+
hx }2
WL 2 JweldFX/Z . Hz )]( FY/Z b )++{
FX/Z )+
1 )}2
Zwy-y Zwx-x WL
FX/Z Hx )+ ({FY/Z Hy )+
2
WL 2 Jweld
Fz =
. Hz ) hy)+ Fz . FX/Z+ (FZ FY/Z b
2
WL 2 Jweld
+{FZ FY/Z )
. Hz
)hx
)+ Fz . FX/Z+
(FZ FY/Z b
+
{FZ FX/Z
)
+ ( Fz )}2
WL+
Fz FX/Z Hx )Zwx-x{
Fz FY/Z Hy )Zwy-y
hy
}2
WL 2 Jweld(Fx . Hz )[ Fy b )++{
Fy )+
hx
}2
WL 2 Jweld+ Fx . Hz )+ (Fy b )
2
Zwy-y Zwx-x WL
+{Fx )
)+ Fz )}{(Hy )+ Hx
[ Filename : 154368447.xls.ms_office , Sheet : S-1 (2) ]
. [Print Date : 6/27/2013]
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EPC FOR ASAB FFD PROJECT
JI-193
P
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Fz-max weld = N
= KN
CALCULATION BASED ON LOCAL STRESSES IN PIPE:
L = Longitudinal
+ + Sh A = Axial
C = Circumferential
+ + Sh LP = Long. Press. Stress
CP = Circum. Press. Stress
LOCAL STRESSES DUE TO LOCAL EXTERNAL LOAD (N/mm )
. . (Reference Doc. No. SHJ-FL
SC SA SCP 1.5
=1.17 R
0.5
This calculation is done with reference of eBMS trunnion load check calculation (Doc. No. SHJ-BMS-EN-VSS-
L-3204-A).
The formulae used in this for trunion calculation for local stress are as per "Design of Piping Systems" by M.W.
Kellog Company based on the bending of a beam on an elastic foundation.
DUE TO EXTERNAL LOADING
SL SA SLP 1.5
Fz-max weld =475.2
0.0172
27635.6
Fz-max weld 27.6356
1.04968E-06 + 3.77784E-06
}
2
Fz-max weld =475.2
0.000290848 +
0.001024541 }2
+ { 0.001943665
2
Fz-max weld =475.2
{ 0.017054265 }2
+ {
2
+
{0.000292056 + 0.001651609
}
0.000584112 + 0.000440429 }{ 0.017054265 }2
+{
] 1.88755E-05 }2
Fz-max weld =475.2
37.5 + 50
5.03348E-06 }50 ]2
+{(0.00029 +[
+
2
+{ 0.00058 +[ 37.5+ 0.00117
}
Fz-max weld =475.2
{0.0005314 + 0.015354644
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Maximum local loading due to circumferential moment (in N/mm length),
.
. .
. . .
Maximum local loading due to axial (radial) load (in N/mm length),
Sh + +
. . x . . .
.
. . . . . x . .
. .
.
.
FZ
WL
FL FA
1.17 R0.5
t1.5
IwY-Y
P
2+
FY Hy hx
FZ Hy hx
t1.5
FX/Z hy 1.51.5 Sh
1.17 R0.5
FZ Hx +
t1.5
t1.5
+1.5 1.17
1.5 SL
RR0.5
SLP
1.5 Sh1.17 R
0.5
SA
hx
FA =FZ
WL
MX
=IwX-X
=FY/Z
IwX-X
FC =
IwX-X
t
+P R
2 t
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Solving for Fz,
.
.
. . . x
. . .
x
x
x x x x x x
x x
x x x x x x
x x
+
= N
= KN
Sh + +
. x . .
. . . . hx x .
. .
.
.
. . . . x x
. x
x
1.5
1.5 x 138 - 1.96 84.14
hx+
1.5 1.17 R0.5
t1.5
IwX-X t1.5
WL
P R
FZ-max (SC) =t
2.34 R0.5
FY/Z Hy
+P R
t
1.5 . Sh -
FZ
t1.5
IwX-X t1.5
WL
FZ FY/Z Hy 1.5 1.17
P R
t1.5
t1.5
t
1.5 1.17
R0.5
Sh 2.34 R
0.5
+FA
+
SCP
R0.5
+1.5 Sh 2.34 FC R
0.5
FZ-max (SL) 89098
FZ-max (SL) 89.1
1.5 SC SA
FZ-max (SL) =193.505
0.00093 0.00125
FZ-max (SL) =193.505
0.00217
+1.5 1.17 9.17251
15.10 7770800 15.10 856
207 - 13.49FZ-max (SL) =
1.17 9.172513 0.5 135 150
+1.5 1.17
0.5
6.111.5
7770800 6.111.5
856
FZ-max (SL) =2 6.11
1.17 84.140.5
0.5 135 150
WL
1.5 x 138 -1.96 84.14
FZ-max (SL)2 t
1.17 R0.5
FX/Z Hx hy+
1.5=
1.5 x Sh - P
t1.5
IwY-Y
84.14
R
1.17 R0.5
t1.5
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
x x x x x xx x
+
= N
= KN
= Minimum of
= KN , = KN , = KN
= KN
Calculating FX & FY :
As,
FX = FX/Z * FZ
FY = FY/Z * FZ
, and
FX/Z =
FY/Z =
FX-max = x
Axial Load, FX-max = KN
FY-max = x
Lateral Load, FY-max = KN
FZ-max (SC) =
207 - 26.9893FZ-max (SC) =
2.34 9.172513 0.25 110 40 +15.103 2E+05 9.17251315.103 8561.5 1.17
4.439399
0.5
0.25
0.5 17.76
8.8787979
0.25 17.76
FZ-max (SL) 89.1 FZ-max (SC) 17.76
FZ-max 17.76
FZ-max (SC) 17758
FZ-max (SC) 17.76
Fz-max
Fz-max weld 27.64
FZ-max (SC) =180.011
0.01014
180.011
0.00889 0.00125
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
MISCELLANEOUS CALCULATIONS
To Calculate,Fz-(x,y=0) = Fz maximum allowed, if Fx & Fy =0
Fz-(x,y=0) m ax based on weld strength calculations:
Fy . Fx .
.
.
Substituting Fx = 0 & Fy = 0
Solving for Fz, and substituting fw resultant with fw allowable
Fz-(x,y=0) max weld .
Fz-(x,y=0) max weld x
Fz-(x,y=0) max weld KN
Fz-(x,y=0) m ax based on local stress calculation due to longitudinal loading:
Sh + +
. x . . .
.
P R
t1.5
t1.5
2 t+
1.5 1.17 FA R0.5
+1.5 Sh 1.17 FL R
0.5
= 406.7712
1.5 SL SA SLP
= fwallowable WL
= 475.2 856
fwresultant = ( Fz )2
WL
]hy
}2
WL 2 Jweld
Fx x Hz[(Fyb
)++ (Fy
+
] hx }2
WL 2 Jweld+(Fx . Hz )+ [(Fy b )fwresultant = + Fx
}2
Zwy-y Zwx-x WL
Hx+
Fz{Hy )+
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
But,
. .
Therefore,= (since, Fx=0)
Therefore equation reduces to,
x . .
.
Substituting
x . .
. .
Solving for Fz,
.
.
. .
.
x
x
x x
x
-
x x
x 85615.10
6.111.5
856
Fz-(x,y=0) max SL =207 13.49
1.5 1.17 9.173
84.14
Fz-(x,y=0) max SL =2 6.11
1.5 1.17 84.140.5
t1.5
WL
1.5 x 138.0 -1.96
Fz-(x,y=0) max SL =2 t
1.5 1.17 R0.5
1.5 Sh -P R
R0.5
FZ
+
P R
WL 2 t
Fa =Fz
WL
1.5 Sh
1.5 1.17
1.17
t1.5
FA R0.5
+P R
t1.5
2 t
FL 0
1.5 Sh 1.5
FL =FX Hx hy
IwY-Y
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
= N
Fz-(x,y=0) max SL = KN
Fz-(x,y=0) max based on local stress calculation due to circumferential loading:
Sh + +
. x . .
But, . .
Therefore, Fc =0 (since Fy=0)
Therefore, equation reduces to,
x . .
Substituting
x . .
.
Solving for Fz
.
x
.
R
Fz-(x,y=0) max SCt
1.5 1.17 R0.5
=
1.5 Sh -P
t1.5
WL
1.17 R0.5
FZ+
P R
t1.5
WL t
FA =Fz
WL
1.5 Sh 1.5
FA R0.5
1.5 Sh 1.5
+P R
t1.5
t
IwX-X
1.17
P R
t1.5
t1.5
t
Fc =Fy Hy hx
+ 1.5 1.17 FA R
0.5
+1.5 Sh 2.34 FC R
0.5
Fz-(x,y=0) max SL 155404
155.404
1.5 SC SA SCP
Fz-(x,y=0) max SL =193.505352
0.00124517
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
x
x x
x
-
x x
x
= N
= KN
Thus,
Fz-(x,y=0) max weld KN
Fz-(x,y=0) max SL = KN
= KN
Therefore,
= KNFz-(x,y=0) max 144.567
Fz-(x,y=0) max SC 144.567
= 406.771
155.404
Fz-(x,y=0) max SC 144.567
Fz-(x,y=0) max SC =
180.011
0.00124517
Fz-(x,y=0) max SC 144567
=Fz-(x,y=0) max SC207.0 26.99
1.5 1.17 9.173
15.103 856
84.14
Fz-(x,y=0) max SC 6.11
1.5 1.17 84.140.5
=
1.5 x 138.0 -1.96
6.111.5
856
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EPC FOR ASAB FFD PROJECT
JI-193
Page 47 of 31
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
To Calculate,
Fx-(y,z=0) = Fx maximum allowed, if Fy & Fz =0
Fx-(y,z=0) max based on weld strength calculations:
Fy . Fx .
.
.
Substituting Fy = 0 & Fz = 0
Fx .
Solving for Fx, and substituting fwresultant with fwallowable
+{ ( 100 )
100 )856
40 2
7946794.667
135.1168 }2
7946794.667+{( 1 )+{ 135.117 )}
2
4399.87
Fx (y,z=0)-max weld =475.2
+{ (Hz )
Hz )WL
hy2
Jweld
hx }2
Jweld
+{(1 )+{
Hx )}2
Zwx-x
hy
}2
Jweld
Fx (y,z=0)-max weld =fwallowable
Fx x Hz
2
Zwx-x WL JweldFx . Hz
fwresultant = +{
{Hx ) ) hx+{(
Fx )+}2
]hy
2
WL 2 Jweld
Fx x Hz )[(Fy b )++{
Fy )+
] hx }2
WL 2 Jweld+ Fx . Hz )+ [(Fy b )fwresultant = +{
Fx )
Fz )}2
Zwy-y Zwx-x WL+ ( Hx )+({
Hy )
[ Filename : 154368447.xls.ms_office , Sheet : S-1 (2) ]
. [Print Date : 6/27/2013]
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Fx (y,z=0)-max weld = N
Fx (y,z=0)-max weld = KN
Calculating Fx-(y,z=0)max based on stress calculation due to longitudinal loading
Sh + +
. x . .
.
But,
Therefore,
= (since Fz = 0)
Therefore equation reduces to,
FA =Fz
WL
FA 0
P R
t1.5
t1.5
2 t+
1.5 1.17 FA R0.5
+1.5 Sh 1.17 FL R
0.5
15405.02694
15.41
1.5 SL SA SLP
Fx (y,z=0)-max weld =475.2
0.000952
Fx (y,z=0)-max weld =475.2
0.030847074
8.22825E-06 + 2.53359E-07
2
Fx (y,z=0)-max weld =475.2
0.00094 +
0.001700268
}
2
+ ( 0.000503348
+
{0.00117 +0.03071
2
Fx (y,z=0)-max weld =475.2
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
. .
.
Substituting,
. .
. . . .
. .
Solving for Fx,
.
.
. .
.
x
x
x x x
x
-
x x x
x
Fx-(y,z=0)max (SL) = N104410.9
Fx-(y,z=0)max (SL) = 104.41 KN
135.1 150
15.10 7770800
Fx-(y,z=0)max (SL) =193.5054
0.001853
150
6.111.5
7770800
Fx-(y,z=0)max (SL) =207 13.4946
1.17 9.17251329
Fx-(y,z=0)max (SL) =2 6.11
1.17 84.1350.5
135.1
1.5 x 138.00 -1.96 84.14
R
Fx-(y,z=0)max (SL)2 t
1.17 R0.5
Hx hy
=
1.5 Sh -P
t1.5
IwY-Y
Hx hy+
P R
t1.5
IwY-Y 2 t1.5 Sh
1.17 R0.5
Fx
FL =FX Hx hy
IwY-Y
+P R
t1.5
2 t1.5 Sh
1.17 FL R0.5
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Calculating Fx-(y,z=0)max based on stress calculation due to circumferential loading
Sh + +
. x . .
But,
. . . hx
and
Therefore, Fc =0 & FA =0 (since Fy=0 & Fz= 0)
Therefore equation reduces to,
.
Therefore this equation is independent of Fx, and Fx does not have any effect on this stress check.
Fx-(y,z=0)max (SC) =
Thus,
Fx (y,z=0)-max weld =
Fx-(y,z=0)max (SL) =
Fx-(y,z=0)max (SC) =
Therefore,
Fx-(y,z=0)max =
Not applicable
15.41 KN
t
Not applicable
15.41 KN
104.41 KN
IwX-X
FA =
FZ
WL
1.5 Sh P R
P R
t1.5
t1.5
t
FC =FZ FY/Z Hy
+1.5 1.17 FA R
0.5
+1.5 Sh 2.34 FC R
0.5
1.5 SC SA SCP
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EPC FOR ASAB FFD PROJECT
JI-193
Page 51 of 313
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
To Calculate,
Fy-(x,z=0) = Fy maximum allowed, if Fx & Fz =0
Fy-(x,z=0) m ax based on weld strength calculations:
Calculating Fy-(x,z=0)max based on weld strength calculation
Fy . Fx .
.
.
Substituting Fx=0 & Fz=0
. .
.
Solving for Fy , and substituting fwresultant with fwallowable
1.6E-05 )( 5.7E-07 ) +( 4.5181E-06 ) +
0.002831 )2
Fy(x,z=0)-max weld =2
)2
+ 0.001168 +
Fy(x,z=0)-max weld =475.2
( 0.00212559 )2
+ ( 0.000755
150
}2
856 2 7946794.667+ ( 300 )
}2300 ) 4051805.3333 2 7946794.667
+{(1 )
Fy(x,z=0)-max weld =475.2
{(110.116771 )}
2
+{
hy
}
2
WL 2 Jweld+
(
b
)
2
Zwy-y 2 Jweld
b )+
{(
1
)
+{
Fy(x,z=0)-max weld =fwallowable
{(Hy )}
2
Fy b)+
hx
{(Fy hy
}WL 2 Jweld[(
] hx
)]2
fwresultant =Zwy-y 2 Jweld
+
}22
+{ (Fy b ){(
Fy Hy )}
]hy
}2
WL 2 Jweld(Fx . Hz )[(
Fy b )++{(Fy )+
] hx }2
WL 2 Jweld+ (Fx . Hz )+ [(Fy b )fwresultant = +{(
Fx )
)}2
Zwy-y Zwx-x WL
Hx )+ Fz{(Hy )+
[ Filename : 154368447.xls.ms_office , Sheet : S-1 (2) ]
. [Print Date : 6/27/2013]
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52/313
EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Fy(x,z=0)-max weld = KN
Calculating Fx-(y,z=0)max based on stress calculation due to longitudinal loading
Sh + +
. x . .
.
But,
. .
and
Therefore, FL =0 & FA =0 (since Fx=0 & Fz= 0)
Therefore equation reduces to,
.
Therefore this equation is independent of Fy, and Fy does not have any effect on this stress check.
Fy-(x,z=0)max (SC) =
R
t
Not applicable
FA =FZ
WL
1.5 Sh P
FL =FX Hx hy
IwY-Y
P R
t1.5
t1.5
2 t+
1.5 1.17 FA R0.5
+1.5 Sh 1.17 FL R
0.5
103.49
1.5 SL SA SLP
Fy(x,z=0)-max weld =475.2
0.004591799
Fy(x,z=0)-max weld = 103488.8551 N
2.1085E-05Fy(x,z=0)-max weld =
0
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Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Calculating Fy(x,z=0)max based on local stress calculation due to circumferential loading:
Sh + +
. x . .
But,
Therefore FA=0 (since Fz=0),
Therefore equation reduces to,
. .
Substituting,
. . . hx
. . . .
.
Solving for Fy,
.
. .
.
x
x x x
x
x x x
x
Fy (x,z=0)-max (SC) = N5061.07
Fy (x,z=0)-max (SC) = 5.06107 KN
15.10 2E+05
Fy (x,z=0)-max (SC) =180.01
0.03557
9.172513 40
6.111.5
2E+05
207 - 26.99
110.1
84.1
Fy (x,z=0)-max (SC) =6.11
2.34 84.140.5
40110.1
Fy (x,z=0)-max (SC)
t1.5
IwX-X
1.5 x 138.0 -1.96
=2.34
Fy (x,z=0)-max (SC) =t
2.34 R0.5
Hy hx
1.5 x Sh -P R
Fy Hy hx+
P R
IwX-X t
IwX-X
1.5 Sh 2.34 R
0.5
t1.5
+P R
t1.5
t
R0.5
Fc =FZ FY/Z Hy
1.5 Sh 2.34 FC
P R
t1.5
t1.5
t
FA =Fz
WL
+1.5 1.17 FA R
0.5
+1.5 Sh 2.34 FC R
0.5
1.5 SC SA SCP
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EPC FOR ASAB FFD PROJECT
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Design of shoe Date : 14 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Thus,
Fy (x,z=0)-max weld =
Fy-(x,z=0)max (SL) =
Fy-(x,z=0)max (SC) =
Therefore,
Fy-(x,z=0)max =
Fx-(y,z=0) 15.41 104.41 Not Applicable 15.41
144.57
Fy-(z,x=0) 103.49 Not Applicable 5.06 5.06
F-max (SC) (KN) F-max (KN)
Fz-(x,y=0) 406.77 155.40 144.57
Not applicable
5.06 KN
103.49 KN
F-max weld (KN) F-max (SL) (KN)
103.49 KN
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EPC FOR ASAB FFD PROJECT
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Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Hy
'///////////'////////////////////////////////////////////////////////////////////
Hx
Fy
FzHz
Fx
e
Max. stress at
this point
Weld analysisdone for thisweld at pipe toshoe interface.
Fz
sectional plan view of shoe at pipe andattachment interface
Fy
x
hy
x
hx
y y
'
b
b-100
'
'/////////
'///////////
'//////////
d
i
e
axis
'//////////////////////////
///
' '
ds'///////////// '///////////
'////////////'///////////
'///////////////
'///////////////
y
x
z (up)
l
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EPC FOR ASAB FFD PROJECT
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Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
INPUT :
STEEL MEMBER
Member material = BS EN 10025 Grade S275 JR or equivalentYield strength of the structural member material,
Sy-member = N / mm2
Hot Allowable Stress
Sh = N / mm2
WELDING ELECTRODE
Welding Electrode material = CLASS 42 BS 5950
Ultimate tensile strength of the Welding Electrode material,
Su-weld = N / mm2
(As per BS 5950-1 2000, Section 3.2.3 , Table 10 )
Line Pressure
P = bar (g)
P = N / mm2
ALLOWABLE STRESS ON WELD
Sweld-allow = Allowable weld stress for the welding
Sweld-allow = Taken from Sheet "Weld-Pipe to Shoe or Stop"
Sweld-allow = N / mm2
275.0
138.0
(As per BS 5950-1 Clause 6.8.5 Table 37, for S275 material, matching electrode is Class 35. However as per contract
specification ADCO DOC. No. 30.99.75.0704 Rev. E, for structural welding all electrodes shall be E70XX to AWS
D1.1. Therefore Class 42 electrode as per BS 5950 is specified in the Project WPS, which is equivalent to E70XX to
AWS D1.1.)
500.00
19.60
1.96
79.20
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Pa
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
INPUT FOR STRUCTURAL PROPERTIES
SHOE:
Shoe made up of: 1/2 UB 254 x 102 x 25
Plate thk. d = mm b = mm H = mm l = mm
ds = mm
Pipe
Pipe NB = " Sch = CA = mm
D = Pipe Outside Dia = mm
R = Pipe Radius = mm
tp = Pipe thk = mm
wp = Wear Pad = mm
t = Pipe thk with CA = Wear Pad + Pipe thk - CA mm
t = Pipe thk with CA = mm
6 300 100 80
10
6 40 1.0
168.3
84.1
7.11
0.00
6.11
hy =b
mm2
2
hy =300
mm2
hy = 150 mm
hx =l
mm2
hx =80
mm
hx = 40 mm
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Calculation of Weld Properties:
b ( - ) . ( - ) 2 ( - ) . ( - ) 2
( - ) . ( - ) 2 ( - ) . ( - ) 2
( - ) . ( - ) 2 ( - ) . ( - ) 2
= mm3
( . ) x
( . ) x
( b . d ) ( . ) x
( x ) ( - ) x
= mm3
=
=
= mm2
=
=
= mm2
+ +
lIwy-y=
2 3 d b 100
12 2 2
l d b 80
l dIwy-y =b 3
+l
Iwy-y =300 3
+
d
+80
b 100
6 2 2
b 80+
6 300 100
6 2 2
80 6 300 80
Iwy-y 7770800
Iwx-x = 2 [ b . (d
)
2
]2
+ l3
d3
4
12
Iwx-x = 2 [ b .d 2
] + l3
d3
4
4 12
Iwx-x =2
Iwx-x =2
+
2
34
d 3 4
2 12
l 3
6
12
Iwx-x 175994.7
Zwy-y Iwy-y
+ 803
6300
hy
Zwy-y 7770800
150
Zwy-y 51805.3
Zwx-x Iwx-x
hx
Zwx-x 17599540
Zwx-x 4399.87
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EPC FOR ASAB FFD PROJECT
JI-193
Pag
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
= Length of Weld
= x ( - x ) + x ( - )
= x ( - x ) + x ( - )
= mm
Jweld = Polar moment of inertia of weld joint = =
= + = mm3
S = specified max weld size = mm
w = Fillet Weld LEG size
= Minimum of or or
= Minimum of or or
= mm
MOMENT ARM :
Hx =
= Hy + e
where,
e = possible additional moment arm due to
possibility of bearing plate / wear pad / steel packing at site
or thermal movement of pipe.
(considered as max. mm - all together.)
Hx = mm
Hy =
Hy = mm
Hz =
WL
WL 2 b 2 ds 4 l d
WL 2 300 2 10 4 80 6
WL 856
Izz Ixx + Iyy
7770800 175995 7946795
6
Pipe thk d S
6.11 6.00 6.00
6.00
Moment arm, for calculating moments acting at base of Member / at weld due
to loading along x axis
25
135.12
Moment arm, for calculating moments acting at base of Member / at weld due
to loading along y axis
110.12
Moment arm, for calculating moments acting at base of Member / at weld due
to loading along y axis
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EPC FOR ASAB FFD PROJECT
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Page 60 of 31
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
MAXIMUM ALLOWABLE FORCE /mm BASED ON WELD
fw allowable = Sweld-allow x w
= x
= N/mm
fwresultant = Sz2 + Sx2 + Sy2 .(i)where;
fwresultant = Resultant welding loaing
Sz = Weld loading along Z
Sx = Weld loading along X
Sy = Weld loading along Y
Sz = (Bending Stress) Lateral + (Bending Stress) Axial + (Tensile Stress) Vertical
Mx My Fz
Zx Zy 2*b
Fy . Fx .
Sx = .
Sx = .
x Jweld
Sx = .
Sy = . +
x Jweld
79.20 6.00
475.2
Sz = + +
Sz = ( Hy )+(Zwy-y
+ ( Fz )Zwx-x WL
)+(Mz
Hx )
WL WL
( Fx )+ (
( Fx
)+ (Fx
hx )
. Hz ) lWL 2 2
Fy b
( Fx )+(Mz hx )WL WL
( Fx )+ ( Hz ) bWL 2 2
Fy b ) (Fx x
To calculate / consider maximum Mz, considering maximum possible eccentricity for Fy
(lateral load) = b/2, and considering for
Fx (axial load) = 1/2 of stopper width
Fx (axial load) = Hz
Hz = 100 mm
[ Filename : 154368447.xls.ms_office , Sheet : S-1 (6" to 24") calculation sht ]
. [Print Date : 6/27/2013]
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EPC FOR ASAB FFD PROJECT
JI-193
Page 61 of 313
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
.
Substituting in equation (i)
fwresultant = Fy . Fx .
.
x
. b
x
Specifying FY & FX in terms of FZ
Let;FX = FX/Z * FZ
FY = FY/Z * FZ
. . . .
fwresultant = . . .
x
. . .
xSolving for Fz:
fwresultant
. .
Fz =
.
x
.
xLet,
Fx/z =
Fy/z =
fwresultant = fw allowable
Fz-max weld =
x x ( ) +
x +
x
x +
x
Fz-max weld =
Fx . HzMz = Fy b
+Fz
2
( Hy )+
+
) 2Zwy-y Zwx-x WL(Hx )
+ ( Fx )+ Hz )[(Fy b )+ l 2WL 2 2 Jweld
(Fx .+
Fy )+ Hz )[(Fy b )+ 2WL 2 2 Jweld
(Fx x
(Fz FY/Z Hy )Zwy-y + (Fz FX/Z Hx )Zwx-x + (
Fz ) 2WL
+ [(FZ FX/Z )+ [(FZ FY/Z b )+ (Fz . FX/Z . Hz )] l 2WL 2 2 Jweld
+ [(FZ FY/Z )+ [(FZ FY/Z ] bb )+ (Fz . 2WL 2 2 Jweld
FX/Z . Hz )
)+ (( FY/Z Hy )+ 1 ) 2Zwy-y Zwx-x WL(FX/Z Hx
+ [( FX/Z )+ Hz )[( FY/Z b )+ l 2WL 2 2 Jweld
( FX/Z .+ [( FY/Z )+ Hz )[( FY/Z b )+ b 2WL 2 2 Jweld( FX/Z .
0.5
0.25
475.2
{ ( 0.25 110.12 ) + [0.5 135.117 ] ( 1 ) }
2
51805.3 4400 856
+ { (0.5 ) 100 ) ]+ [ (
0.25 300 ) 80 }2
856 2 2 7946795( 0.5 x
+ { (0.25 ) + ]
300[ ( 0.25 300 ) ( }2
856 2 2 79467950.5 x 100 )
475.2
{ 0.017054265 }2
+ { 0.001024541 }2
+ { 0.001943665 }2
[ Filename : 154368447.xls.ms_office , Sheet : S-1 (6" to 24") calculation sht ]
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EPC FOR ASAB FFD PROJECT
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Pag
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Fz-max weld =
Fz-max weld =
Fz-max weld = N
= KN
+ + x Sh L = Longitudinal
A = Axial
+ + x Sh C = Circumferential
LP = Long. Press. Stress
CP = Circum. Press. Stress
. .
x . .
. .
.
.
.
.
. .
. . .
.
475.2
{ 0.000290848 }+ { 1.04968E-06 }+ { 3.77784E-06 }
475.2
0.0172
27635.6
Fz-max weld 27.6356
This calculation is done with reference of Ebms trunnion load check calculation (Doc. No. SHJ-BMS-
EN-VSS-L-3204-A).
The formulae used for trunion calculation are as per "Design of Piping Systems" by M.W. Kellog
Company based on the bending of a beam on an elastic foundation.
SL SA SLP 1.5
SC SA SCP 1.5
SL =1.17 FL R
0.5
t1.5
SA =1.5 1.17 FA R0.5
t1.5
Sc =2.34 FC R
0.5
t1.5
SLP =P R
2 t
SCP =P R
t
FL =MY hy
IwY-Y
FL =FX Hx hy
IwY-Y
FL =FZ FX/Z Hx hy
IwY-Y
FC =MX hx
IwX-X
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
. .
. . . hx
. Sh + +
. . x . . .
.
. . . . . x . .
. .
.
.
.
.
. . . . . .
. . .
x - x
x
x x x x x x
x x
= N
= KN
FC =FY Hy hx
IwX-X
FC =FZ FY/Z Hy
IwX-X
FA =FZ
WL
1.5 SL SA
R0.5
+
SLP
1.5 . Sh 1.17 F
LR
0.5P R
t1.5
t1.5
2 t+
1.5 1.17 FA
hy+
1.51.5 . Sh
1.17 R0.5
1.17 R0.5
FZ
t1.5
IwY-Y t1.5
WL
FZ FX/Z H
+P R
2 t
=
1.5 x Sh -P R
FZ-max (SL)
2 t
1.17 R0.5 FX/Z Hx hy+
1.5 1.17 R0.5
t1.5
IwY-Y t1.5
WL
1.5 138 1.96 84.1
FZ-max (SL) =2 6.11
1.17 84.1 0.5 0.5 135 150+
1.5 1.17 84.1 0.5
6.111.5
7770800 6.111.5
856
FZ-max (SL) =194
0.00217
FZ-max (SL) 89098
FZ-max (SL) 89.1
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
. Sh + +
. . x . . .
. . . . . hx x . .
. .
.
.
. . . . x x
. x
x
x x x x x x
x x
= N
= KN
= Minimum of
= KN , = KN , = K
= KN
1.5 SC SA SCP
FA R0.5
1.5 . Sh 2.34 FC
+P R
t1.5
t1.5
t
R0.5
+1.5 1.17
+1.5 1.17
1.5 . Sh 2.34 R
0.5R
0.5FZ
t1.5
IwX-X t1.5
WL
FZ FY/Z Hy
+P R
t
1.5 . Sh -P R
FZ-max (SC) =t
2.34 R0.5
FY/Z Hy hx+
1.5 1.17 R0.5
t1.5
IwX-X t1.5
WL
1.5 x 138 -1.96 84.1
FZ-max (SC) =6.11
2.34 84.1 0.5 0.25 110.12 40+
1.5 1.17 84.1 0.5
6.111.5
2E+05 6.111.5
856
FZ-max (SC) =180
0.01014
FZ-max (SC) 17758
FZ-max (SC) 17.76
Fzmin
Fz-max weld 27.64 FZ-max (SL) 89.1 FZ-max (SC) 17.76
Fz-max 17.76
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EPC FOR ASAB FFD PROJECT
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Page 65
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
Setting a standard for FY & FX
As,
FX = FX/Z * Fz min
FY = FY/Z * FZ min
Fx/z =
Fy/z =
FX = x
Axial Load, FX = KN
Fy = x
Lateral Load, Fy = KN
Miscellaneous Calculations
Fz-(x,y=0)
Fy . Fx .
.
x
. b
x
.
.
KN
0.5
0.25
0.5 17.76
8.8787979
0.25 17.76
+ ( Fz
4.439399
( Hy )+ ) 2Zwy-y Zwx-x WL
( Hx )fwresultant =
+ ( Fx ) Fx . Hz )+ [(Fy b ) ] l 2WL 2 2 Jweld
+ (
+ (Fy
)+ Hz )[(Fy b
)+ ]2
WL 2 2 Jweld(Fx x
fwresultant = ( Fz )2
WL
Fz-max weld = fwallowable WL
Fz-max weld = 475.2 856
Fz-max weld = 406.7712
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
. Sh + +
. . x . . .
.
x . . .
.
x . . .
. .
.
.
. ..
x
x
x x
x
FZ-max (SL) = KN
. Sh + +
. . x . . .
x . . .
x . . .
.
.
. .
1.5 SL SA
1.5 . Sh 1.17 FL 1.5 1.17 FA R
0.5
+
SLP
R0.5
FA R0.5
+
P R
t1.5
t1.5
2 t+
1.5 . Sh 1.5 1.17 P R
t1.5
2 t
t1.5
WL 2 t
R1.5 . Sh
1.5 1.17
Sh -P
t1.5
WL
R0.5
FZ+
P
R
FZ-max (SL)2 t
1.5 1.17 R0.5=
1.5 x
x 138.0 -1.96
6.111.5
856
84.1
FZ-max (SL)2 6.11
1.5 1.17 84.10.5=
1.5
FZ-max (SL) =194
0.00125
155.404
1.5 SC SA SCP
1.5 . Sh 2.34 FC R
0.5
+1.5 1.17 FA R
0.5
+P R
t1.5
t1.5
t
1.5 . Sh 1.5 1.17 FA R
0.5
+P R
t1.5
t
R
t1.5
WL t1.5 . Sh
1.5 1.17
- P
R0.5
FZ+
P
R
FZ-max (SC)t
1.5 1.17 R0.5=
1.5 . Sh
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Page 67 of 313
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
x
x x
x
= KN
Fx-(z,y=0)
Fy
. Fx
.
.
x
. b
x
Fx .
x
b
x
x
b
x
138.0 -1.96
6.11 1.5 856
84.1
FZ-max (SC)6.11
1.5 1.17 84.1 0.5=
1.5 x
FZ-max (SC) =180
0.00125
FZ-max (SC) 144.567
Fz
)(H
y
)+
(2
Zwy-y Zwx-x WL
Hx
)+
(fwresultant = + ( Fx ) Fx . Hz )+ [(Fy b ) ] l 2
WL 2 2 Jweld+ (
+ (Fy )+ Hz )[(
Fy b )+ ]2
WL 2 2 Jweld(Fx x
( Hx ) 2 ) l+ ( Fx )+ 2Zwx-x WL 2 Jweld
(Fx . Hzfwresultant =
+ Fx x Hz2
2 Jweld
fwresultant
Fx-max weld = ( Hx ) Hz ) l2
+ ( 1 )+ (2
2 Jweld
2
Zwx-x WL 2 Jweld
+ [(Hz )]
[ Filename : 154368447.xls.ms_office , Sheet : S-1 (6" to 24") calculation sht ]
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EPC FOR ASAB FFD PROJECT
JI-193
P
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
x
x
KN
. Sh + +
. . x . . .
.
. . . . .
. .
.
.
. . .
.
x
x
x x x
x
2+ + 100
475.2
Fx-max weld = 135.117 80 2
4399.87 856 2 7946795
1
+ [ 100 )] 3002
2 7946795
Fx-max weld =475.2
0.030812617
Fx-max weld = 15.42
1.5 SL SA
R0.5
+
SLP
1.5 . Sh 1.17 FL R
0.5P R
t1.5
t1.5
2 t+
1.5 1.17 FA
1.5 . Sh 1.17 R
0.5Fx H hy
+P R
t1.5
IwY-Y 2 t
x Sh -P
t1.5
IwY-Y
R
Fx-max (SL)2 t
1.17 R0.5 Hx hy=
1.5
1.5 x 138.00 -1.96 84.1
2 6.11
1.17 84.135 0.5 135.1 150
6.11 1.5 7770800
Fx-max (SL) =193.5054
0.001853
Fx-max (SL) =
Fx-max (SL) = 104.4109 KN
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EPC FOR ASAB FFD PROJECT
JI-193
Page 69 of 313
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
. Sh + +
. . x . . .
Fy-(z,x=0)
Fy . Fx .
.
.
. b
.
. .
.
. b
.
.
.
1.5 SC SA SCP
FA R0.5
1.5 . Sh 2.34 FC +
P R
t1.5
t1.5
t
R0.5
+1.5 1.17
Fx-max (SC) = 0 KN
( Hy )+ ( Hx )+ ( Fz ) 2Zwy-y Zwx-x WL
fwresultant =+
Fx ) Fx . Hz )+ [(Fy b ) ] l 2WL 2 2 Jweld
+ (
+
Fy
)+ Hz
)[
Fy b
)+
]
2
WL 2 2 Jweld(Fx x
( Fy Hy )Zwy-y
2
2 2 Jweld
2+ [( Fy b )] l
[(Fy b )fwresultant = + Fy )
+
] 2WL 2 2 Jweld
+
l
fwallowable
Fy-max weld = Hy 2 2
Zwy-y 2 2 Jweld
b
b )] b+ 1 )+ 2WL 2 2 Jweld
[(
[ Filename : 154368447.xls.ms_office , Sheet : S-1 (6" to 24") calculation sht ]
. [Print Date : 6/27/2013]
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7/28/2019 Load Check for shoe welded support.xls
70/313
EPC FOR ASAB FFD PROJECT
JI-193
P
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
x
x
KN
. Sh + +
. . x . . .
.
. Sh + +
. . x . . .
. . . . .
.
.
. . .
.
+
80
475.2
Fy-max weld = 110.12 2 2
51805.3333 2 2 7946795
300
] 300+ ( 1 +2
856 2 2 7946795[( 300
Fy-max weld =475.2
0.004591799
Fy-max weld = 103.5
1.5 SL SA
R0.5
+
SLP
1.5 . Sh 1.17 FL R
0.5P R
t1.5
t1.5
2 t+
1.5 1.17 FA
Fy-max (SL) = 0 KN
1.5 SC SA SCP
1.5 . Sh 2.34 FC R
0.5
+1.5 1.17 FA R
0.5
+P R
t1.5
t1.5
t
1.5 . Sh 2.34 R
0.5Fy Hy hx
+P R
t1.5
IwX-X t
1.5 x Sh -P R
Fy-max (SC) =t
2.34 R0.5
Hy hx
t1.5
IwX-X
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7/28/2019 Load Check for shoe welded support.xls
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 6" TO 24"
x
x x x
x
1.5 x 138.0 -1.96 84.1
Fy-max (SC) = 6.112.34 84.14 0.5 110.12 40
6.11 1.5 175994.7
Fy-max (SC) =180
0.03557
15.422 104.411 0.000
Fy-max (SC) = 5.06107 KN
F-max weld (KN) F-max (SL) (KN)
Fy-(z,x=0) 103.489 0.000 5.061
F-max (SC) (KN)
Fz-(x,y=0) 406.771 155.404 144.567
Fx-(y,z=0)
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7/28/2019 Load Check for shoe welded support.xls
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 26" TO 48"
'///////////'///////////
e
HyHx
Fy
FzHz
Fx
Max. stress at
this point
Weld analysis
done for this
weld at pipe to
shoe interface.
Fz
'/////////////////////////////////////////////////////////////////////////////////////////
pipe
axis
b
Fy
hy
'///////////////////////////
'///////////
'/////////////
d
'///////////////////////////
'/////
/////////////////////
d '
'/////////////////////////////////////
//////////////////////
'
'
'
'/////////////////////////////////////
//////////////////////
a
l
A
'/////////////
'/////////////
x
x
hx
yy y
x
z (up)
sectional plan view of shoe at pipe andattachment interface
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7/28/2019 Load Check for shoe welded support.xls
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EPC FOR ASAB FFD PROJECT
JI-193
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 26" TO 48"
INPUT :
STEEL MEMBER
Member material = BS EN 10025 Grade S275 JR or equivalentYield strength of the structural member material,
Sy-member = N / mm2
Hot Allowable Stress
Sh = N / mm2
WELDING ELECTRODE
Welding Electrode material = CLASS 42 BS 5950
Ultimate tensile strength of the Welding Electrode material,
Su-weld = N / mm2
(As per BS 5950-1 2000, Section 3.2.3 , Table 10 )
Line Pressure
P = bar (g)
P = N / mm2
ALLOWABLE STRESS ON WELD
Sweld-allow = Allowable weld stress for the welding
Sweld-allow = Taken from Sheet "Weld-Pipe to Shoe or Stop"
Sweld-allow = N / mm2
275.0
138.0
(As per BS 5950-1 Clause 6.8.5 Table 37, for S275 material, matching electrode is Class 35. However as per contract
specification ADCO DOC. No. 30.99.75.0704 Rev. E, for structural welding all electrodes shall be E70XX to AWS
D1.1. Therefore Class 42 electrode as per BS 5950 is specified in the Project WPS, which is equivalent to E70XX to
AWS D1.1.)
500.00
19.60
1.96
79.20
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EPC FOR ASAB FFD PROJECT
JI-193
Pa
Design of shoe Date : 12 Oct. 2009
Type S1 of support standard for pipe size 26" TO 48"
INPUT FOR STRUCTURAL PROPERTIES
SHOE:
Shoe made up of: 1/2 UB 254 x 102 x 25
Plate thk. d = mm b = mm H = mm A = mm
Pipe
Pipe NB = " Sch = CA = mm
D = Pipe Outside Dia = mm
R = Pipe Radius = mm
tp = Pipe thk = mm
wp = Wear Pad = mm
t = Pipe thk with CA = Wear Pad + Pipe thk - CA mm
t = Pipe thk