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