spreader beam calculation

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Page 1 of 2 Spreader Beam Calculation © 2009 Dharma Sakti Engineering 41450.5 N 41450.5 N Input Load [42] 5,640.00 kg 82,901.00 N Impact factor 2 Beam Sizing a. Bending Stress Beam Size IWF600 x 190 x 75 x 13 Bending Stress (Sb) 126.37 N/mm 2 h 600 mm Allowable Bending Stress (Sb.all) 159.27 N/mm 2 Material A-36 Check OK.. Moment of Inertia (I-x) 9.84E+08 mm 4 Cross Section Area of Beam (A) 16940 mm 2 b. Compressive Stress Length of Member (L) 5000 mm Compressive Force (Fc) 82,901.00 N/mm 2 Modulus of Elasticity (E) 2.00E+05 N/mm 2 Compressive Stress (Sc) 4.89 N/mm 2 Specified of Yield Stress (Sy) 241.32 N/mm 2 144.79 N/mm 2 Check OK.. c. Combined Stress U 0.83 Check OK.. Lug Sizing a. Allowable Stress Lug Radius (rL) 50 mm Allowable Bending Stress (Sbx.all) 159.27 N/mm 2 Lug Thickness (tL) 25 mm Allowable Bending Stress (Sby.all) 180.99 N/mm 2 Lug base width (wL) 200 mm Allowable Tensile Stress (St.all) 144.79 N/mm 2 Diameter of hole (d) 30 mm Allowable Bearing Stress (Sbr.all) 217.19 N/mm 2 150 mm Allowable Shear Stress (Ss.all) 96.53 N/mm 2 0 mm 0 mm b. Design Load Material A-36 N Sling Tension (P) 55,326.00 N Specified yield stress (Sy) 241.32 N/mm 2 Vertical Force on Pad Eye (Fz) 47,913.72 N Component force acting on beam (F) Allowable Compressive Stress (Sc.all) Distance from lug hole to base (hL) Collar Ring Diameter (dCP) Collar Plate Thickness (tCP) http://www.wbsakti.wordpress.com Actual Load at Spreader Beam N/mm 27,663.00 N/mm 2 Out of Plane Force (Fyl) 2,766.30 N Factor of Safety (FOS) 2.00 Horizontal Force on Pad Eye (Fx) 27,663.00 N Lifting Angle (a) 60.00 ° Actual Out of Plane (b) 0.00 ° c. Moment Calculation at Base (at distance h) Horizontal dist. Pin CL to N.A (exl) 0.00 In Plane Moment (My) 16,597,800.00 N-mm Out of Plane Moment (Mx) 414,945.00 N-mm d. Tensile Stress at Base Maximum Tensile Stress (St) 9.58 N/mm 2 Check OK.. e. Bending Stress at Base (In Plane) Maximum Bending Stress (Sbx) 19.92 N/mm 2 Check OK.. f. Bending Stress at Base (Out Plane) Maximum Bending Stress (Sby) 99.59 N/mm 2 Check OK.. g. Combined Stress U 0.74 Check OK.. h. Shear Stress at Base (In Plane) Maximum Shear Stress (Ssx) 5.53 N/mm 2 Check OK.. i. Shear Stress at Base (Out Plane) Maximum Shear Stress (Ssy) 0.55 N/mm 2 Check OK.. j. Checking Von-Misses Criteria Sum of Stress in X-Plane (Sx) 109.17 N/mm 2 Sum of Stress in Y-Plane (Sy) 29.50 N/mm 2 Average Shear Stress (Sxy) 5.56 N/mm 2 98.29 N/mm 2 Check OK.. Maximum Sling Tension on Pad Eye Maximum Combined Stress (Scomb.) http://www.wbsakti.wordpress.com © 2012 Dharma Sakti Engineering

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Page 1: Spreader Beam Calculation

Page 1 of 2

Spreader Beam Calculation© 2009 Dharma Sakti Engineering

41450.5 N 41450.5 N

Input Load [42]

5,640.00 kg

82,901.00 N

Impact factor 2

Beam Sizing a. Bending Stress

Beam Size IWF600 x 190 x 75 x 13 Bending Stress (Sb) 126.37 N/mm2

h 600 mm Allowable Bending Stress (Sb.all) 159.27 N/mm2

Material A-36 Check OK..

Moment of Inertia (I-x) 9.84E+08 mm4

Cross Section Area of Beam (A) 16940 mm2 b. Compressive Stress

Length of Member (L) 5000 mm Compressive Force (Fc) 82,901.00 N/mm2

Modulus of Elasticity (E) 2.00E+05 N/mm2 Compressive Stress (Sc) 4.89 N/mm

2

Specified of Yield Stress (Sy) 241.32 N/mm2 144.79 N/mm

2

Check OK..

c. Combined Stress

U 0.83

Check OK..

Lug Sizing a. Allowable Stress

Lug Radius (rL) 50 mm Allowable Bending Stress (Sbx.all) 159.27 N/mm2

Lug Thickness (tL) 25 mm Allowable Bending Stress (Sby.all) 180.99 N/mm2

Lug base width (wL) 200 mm Allowable Tensile Stress (St.all) 144.79 N/mm2

Diameter of hole (d) 30 mm Allowable Bearing Stress (Sbr.all) 217.19 N/mm2

150 mm Allowable Shear Stress (Ss.all) 96.53 N/mm2

0 mm

0 mm b. Design Load

Material A-36 N Sling Tension (P) 55,326.00 N

Specified yield stress (Sy) 241.32 N/mm2 Vertical Force on Pad Eye (Fz) 47,913.72 N

Component force acting on beam

(F)

Allowable Compressive Stress (Sc.all)

Distance from lug hole to base (hL)

Collar Ring Diameter (dCP)

Collar Plate Thickness (tCP)

http://www.wbsakti.wordpress.com

Actual Load at Spreader Beam

Specified yield stress (Sy) 241.32 N/mm Vertical Force on Pad Eye (Fz) 47,913.72 N

27,663.00 N/mm2 Out of Plane Force (Fyl) 2,766.30 N

Factor of Safety (FOS) 2.00 Horizontal Force on Pad Eye (Fx) 27,663.00 N

Lifting Angle (a) 60.00 °

Actual Out of Plane (b) 0.00 ° c. Moment Calculation at Base (at distance h)Horizontal dist. Pin CL to N.A (exl) 0.00 In Plane Moment (My) 16,597,800.00 N-mm

Out of Plane Moment (Mx) 414,945.00 N-mm

d. Tensile Stress at Base

Maximum Tensile Stress (St) 9.58 N/mm2

Check OK..

e. Bending Stress at Base (In Plane)

Maximum Bending Stress (Sbx) 19.92 N/mm2

Check OK..

f. Bending Stress at Base (Out Plane)

Maximum Bending Stress (Sby) 99.59 N/mm2

Check OK..

g. Combined StressU 0.74

Check OK..

h. Shear Stress at Base (In Plane)

Maximum Shear Stress (Ssx) 5.53 N/mm2

Check OK..

i. Shear Stress at Base (Out Plane)

Maximum Shear Stress (Ssy) 0.55 N/mm2

Check OK..

j. Checking Von-Misses Criteria

Sum of Stress in X-Plane (Sx) 109.17 N/mm2

Sum of Stress in Y-Plane (Sy) 29.50 N/mm2

Average Shear Stress (Sxy) 5.56 N/mm2

98.29 N/mm2

Check OK..

Maximum Sling Tension on Pad Eye

Maximum Combined Stress (Scomb.)

http://www.wbsakti.wordpress.com © 2012 Dharma Sakti Engineering

Page 2: Spreader Beam Calculation

Page 2 of 2

Spreader Beam Calculation© 2009 Dharma Sakti Engineeringhttp://www.wbsakti.wordpress.com

k. Tensile Stress at Pin HoleMaximum Tensil Force (P) 41,450.50 N

1,750.00 mm2

Tensile Stress (St) 23.69 N/mm2

Check OK..

l. Shear Stress at Pin HoleMaximum Shear Force (P) 41,450.50 N

1,750.00 mm2

Shear Stress (Ss) 23.69 N/mm2

Check OK..

m. Combined StressU 0.41

Check OK..

Weld Size Calculation a. Tensile StressWeld Leg used 8 mm Maximum Tensil Force (Ft) 41,450.50 N

Weld Throat Thickness used (tr) 6 mm 2,700.00 mm2

Filler metal Material E-43 Tensile Stress (St) 15.35 N/mm2

Fillet Weld Joint Eff. (E) 0.49 Check OK..

125 N/mm2

61.25 N/mm2 b. Shear Stress

Maximum Tensil Force (Fs) 41,450.50 N

Shear Stress (Ss) 15.35 N/mm2

Check OK..

c. Bending StressMaximum Bending Force (Fb) 46,424.56 N

Shear Stress (Ss) 17.19 N/mm2

Check OK..

Cross Sectional Area of Lug Eye (At)

Welding Stress for Steel Grade 43

(E-43)

Allowable Welding Stress (Sw)

Area of Weld (Aw)

Cross Sectional Area of Lug Eye (At)

Shackle Selection a. Clearance CheckA 42.9 mm Lug Thickness OK.. 25.00 mm

C 84 mm Lug Radius OK.. 50.00 mm

Schakle rating (S.W.L) 6.5 tons Check OK..

Type of shackleBolt type Anchor Schakle

G213025.4 mm b. Hole Dimension Check

Max of Dp + 3 mm 28.40 mm

Dp x 1.05 26.67 mm

Dp + 6 mm 31.40 mm

28.40 30 31.40 OK..

Pin size (Dp)

http://www.wbsakti.wordpress.com © 2012 Dharma Sakti Engineering