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Universal beam section: bending moment, maximum stress, radius of curvature

A universal beam section has a second moment of area about its neutral axis of 6487 cm4 and its overall depth is 305 mm. The beam is simply supported at each end over a length of 5 m and carries a uniformly distributed load of 10 kN m-1 (including its own weight) over its whole length. Modulus of elasticity (E) = 210 GN m-2.

Determine:
(i) the maximum bending moment
(ii) the maximum stress in the beam
(iii) the radius of curvature of the beam at the point of maximum bending moment.

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