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Q8. A horizontal cantilever beam has a hollow rectangular cross section, with outside dimensions 100 mm wide by 150 mm deep and inside dimensions 82 mm wide by 126 mm deep. The beam is 3 m long, has a mass of 110 kg and carries a concentrated load of 1.85 kN at its free end.

Calculate EACH of the following:

(a) the maximum stress in the beam. (10)

(b) the maximum deflection at the free end of the beam. (6)

Note: Deflection, δ = Wλ³/3EI for a concentrated load, where W = concentrated load in newtons.

Deflection, δ = Wλ⁴/8EI for a concentrated load, where w = udl in newtons per meter.

The modules of Elasticity = 210 GN/m².