mathcad - spreader bar final

4
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 t p OD ID ( ) 0.5 12.70 mm Pipe Length Considered L p 2300mm 1.2 Material Properties Yield strength f yp 235MPa Young's Modulus, E 205000MPa Steel density, ρ s 7850 kg m 3 Poisson's Ratio , υ 0.3 1.3 Weight Max. Expected Weight W max 60.00 tonne Add 10% weight contingency Static Hook Load SHL W max 0.1 W max 66.00 tonne Dynamic Amplification Factor DAF 1.07 0.05 100 44 1.15 (DNV-OS-H205)

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Spreader Bar design example

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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)

  • 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

  • 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

  • 3.0 Summary of Results

    Compressive stress ratio URcmp 0.16Bending stress ratio URpb 0.48Combined stress ratio URcomb 0.64