mathcad - spreader bar final
DESCRIPTION
Spreader Bar design exampleTRANSCRIPT
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CABLE REEL SPREADER BAR DESIGN
1.0 Input Data
1.1 Geometric Parameters
10" Sch60 Pipe
Outer Diameter OD 273.05mm
Inside Diameter ID 247.65mm
Pipe thickness tp OD ID( ) 0.5 12.70 mm
Pipe Length Considered Lp 2300mm
1.2 Material Properties
Yield strength fyp 235MPaYoung's Modulus, E 205000MPa
Steel density, s 7850kg
m3
Poisson's Ratio , 0.3
1.3 WeightMax. Expected Weight Wmax 60.00tonne Add 10% weight contingency
Static Hook Load SHL Wmax 0.1 Wmax 66.00 tonne
Dynamic Amplification Factor DAF 1.07 0.0510044
1.15 (DNV-OS-H205)
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2.0 Detailed Calculation
Forces
Upper Sling angle 60deg Lower Sling angle 90deg 5% Lower Sling angle variation .05 4.5 deg 5% Upper Sling angle variation .05 3 deg
Load in Upper Sling Fus0.5 DAF SHL
sin ( )43.64 tonne
Load in Lower Sling Fls0.5 DAF SHL
cos ( )37.91 tonne
2.1 Pipe Compression Check Upper Sling Compressive Force in Pipe Fusc Fus cos ( ) 23.77 tonne Lower Sling Compressive force in pipe Flsc Fls cos ( ) 0.23 tonneTotal Compressive force Fcmp Fusc Flsc 24.00 tonne
Compressive Stress cmpFcmp g
OD2
4
ID2
4
22.66 MPa
Allowable Compressive Stress
Inertia Ip OD4
64
ID4
64
8.822 10
7 mm4
Ka 1.0 laLp
1000 r
Ip
OD2
4
ID2
4
0.092m
Ka lar
0.02 < Cc2 E
fyp
1
274.034
Fa
1
Ka lar
2
2 Cc2
fyp
53
3Ka la
r
8 Cc
Ka lar
3
8 Cc3
140.99 MPa
URcmpcmpFa
0.16 < 1 OK
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2.2 Pipe Bending Check
Bending Due to Upper and Lower Padeye sling position and sling angle variation.
Distance db 232mm
Weight of Spreader Bar wsb OD2
4
ID2
4
s g 0.8
kNm
Bending Moment Mpb g db Fusc db Flsc 1.15 wsb Lp2
8
54.16 kN m
Bending Stress pbMpb 0.5 OD
Ip83.816 MPa
URpbpb
0.75 fyp0.48 < 1 OK
Combined Axial and Bending Check
Bending have been considered in one direction
URcombcmpFa
pb0.75 fyp
0.64 < 1 OK
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3.0 Summary of Results
Compressive stress ratio URcmp 0.16Bending stress ratio URpb 0.48Combined stress ratio URcomb 0.64