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Q1. A horizontal cantilever beam is 3 m long. It carries a concentrated load of 2000 N at its free end and a uniformly distributed load of 350 N/m along its entire length. The beam has a hollow, rectangular cross-section with outside dimensions of 100 mm wide by 150 mm deep and a constant thickness of 15 mm. Calculate EACH of the following:

(a) The maximum bending stress in the beam;

(b) The total deflection of the beam at its free end caused by the loading.

Note: δ = WL³ / 3EI for a concentrated load where W = concentrated load (N)

δ = wL⁴ / 8EI for a distributed load where w = distributed load (N/m)

Modulus of Elasticity for the beam material = 210 GN/m²