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Q3. A steel beam is 5 m long and has a symmetrical cross section shown in Fig Q4 and is simply supported at each end. The weight of the beam itself is 480 N per metre length and the maximum allowable bending stress for the beam is 110 MN/m². Calculate EACH of the following:

(a) the maximum additional uniformly distributed load which can be carried;

(b) the least radius of curvature when carrying the load in Q4(a).

Note: Modulus of Elasticity for Steel = 210 GN/m²