A steel (Y = 250 MPa) cantilever beam has a design length of 2 m. A cable hoist hangs from...

A steel (Y = 250 MPa) cantilever beam has a design length of 2 m. A cable hoist hangs from the free end of the beam and is designed to lift a maximum load of 4.0 kN. In application, it is estimated that the cable may swing from the vertical by as much as 15°. Two cross sections are considered for the design (Figure P7.17). One cross section is that of a W130 × 24 wide flange with area 3020 mm2 and cross-sectional dimensions shown (fillets are ignored). The other cross section is a rectangular tube of constant thickness and the same cross-sectional area as the wide-flange section. Determine the factor of safety against yielding for each beam. Consider flexural stresses only and neglect fillets and any dynamic effects resulting from swinging of the load.

FIGURE P7.17