CALCULATION SHEET
PROJECT : HKBU Link Bridge
DATE: 9/24/2021
SUBJECT: Lifting Lug Design Calculation
Input
Page
R
D
H
h
T
B
Lw
Lifting Lug Material: BS EN 10025 Part 4 Sy = 355 N/mm2
Thickness of Lug: T= 10 mm
Width of Lug: B= 100 mm
Height of Lug: H= 180 mm
Lug Outer Radius: R= 50 mm
Diameter of Lug: D= 50 mm
Height to hole Center: h= 130 mm
Fillet Weld Leg: Lw = 10 mm
Fillet Weld Throat: S= 7.07 mm
Weight of the lifting object: We = 3500 Kg
Factor of Safety: Fc = 1.5
Design Weight: Wd = Fc x We Wd = 5250 kg
Number of lugs: N= 4
Design Weight per lug: W = Wd / N W= 1312.5 kg
(In Newton W x 9.8 m/s2) 12862.5 N
Lifting Angle: β= 45 o deg
Tension in Sling Ft = W / Sin β Ft = 18190 N
Forces: Fx = Ft x Cos β Fx = 12862.5 N
Fy = Ft x Sin β Fy = 12862.5 N
CALCULATION SHEET
PROJECT : HKBU Link Bridge
DATE: 9/24/2021
SUBJECT: Lifting Lug Design Calculation
Check
Page 1.0 Check Lifting Lug Stress
Shear Stress of Lug at Eye: Fse = Ft / [2 x (R-D / 2) x T] Fse = 36.3806 N/mm2
Strength of lug to resist shear: Fsg = Sy x 0.4 Fsg = 142 N/mm2
Since strength of lug to resist shear is greater than shear stress at eye, therefore OK!
Tensile Stress of Lug at Eye:Fte = Fy / [2 x (R-D) x T] Fte = 25.725 N/mm2
Strength of lug to resist tensile: Ftg = Sy x 0.6 Ftg = 213 N/mm2
Since strength of lug to resist tensile is greater than tensile stress at eye, therefore OK!
Bending stress of lug at base:
Section modulus at base of lug: Z = B2 x T / 6 Z= 16667 mm3
Area at base of lug: A = B x T A= 1000 mm2
Bending Stress at lug base: Sb = Fx x h / Z + Fy / A Sb = 113.19 N/mm2
Since strength of lug to resist bending is greater than Sb, therefore OK!
2.0 Check Weld at Base of Lug
Weld length at base of lug: L = [(T + B) * 2] - (2*Lw) L= 200 mm
Section modulus of weld: Zw = S x (B)2 / 3 Zw = 23567 mm3
Section Area of weld: Aw = S x 2 x B Aw = 1414 mm2
Stress of weld:
From force Fx,
Bending S1 = Fx x h / Zw S1 = 70.953 N/mm2
Shear S2 = Fx / Aw S2 = 9.09653 N/mm2
Combined: Sb = √(S12+S22) Sb = 71.5337 N/mm2
Since strength of weld (220 N/mm2) is greater than stress from Fx, therefore OK!
CALCULATION SHEET
PROJECT : HKBU Link Bridge
DATE: 9/24/2021
SUBJECT: Lifting Lug Design Calculation
Check
Page From Force Fy,
Shear S3 = Fy / Aw S3 = 9.09653 N/mm2
Since strength of weld (220 N/mm2) is greater than stress from Fy, therefore OK!
Max. combined stress due to Fx + Fy,
Smax = √(S1 + S3)^2 + S2^2) Smax = 80.5647 N/mm2
Since strength of weld (220 N/mm2) is greater than stress from Fy, therefore OK!
3.0 Conclusion
From the above design calculation, it is concluded that 4 number
of lifting lug(s) in size:
100 mm x 180 mm x 10 mm
is adequate to lift the object in weight 3500 kg or
34.3 kN
4.0 Design Standard or Code Used
1.) Code of Practice For Structural Use of Steel 2011
2.) BS EN 10025 Part 4