A client wishes to use an existing steel beam to lift a 1 tonne load using a sling. The 3 m long beam is measured as UB 203x133 visually observed at both ends to be secure with end-plates with all four bolts present.
calculation
For conservatism assume the lowest credible strength steel i.e. S275 steel and the lightest section i.e. UB 203 x 133 x 25. From the Blue Book for $L_{ef}$ = 3 m, the design moment capacity $M_{Rd}$ = 54.6 kNm ($c_1$ = 1.00).
There is no dead load on the beam. Use partial safety factor $\gamma$ = 1.6 for imposed load.
Design load $F_{Ed}$ = 10 kN x 1.6 = 16
By inspection beam is OK in shear. All 4 bolts present in each end plate so connection is OK. Check beam in bending.
Treat the beam as simply supported and assuming sling midspan:
$M_{Ed} = \frac{PL}{4} = \frac{16 \times 3}{4} = 12$ kNm < 54.6 kNm $\therefore$ lift OK
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