A horizontal cantilever beam of length l and of uniform cross-section carries a uniformly distributed load of w per unit length for the full span. The cantilever is supported by a rigid prop at a distance kl from the fixed end, the level of the beam at the prop being the same as that of the fixed end as shown below.

Evaluate k in terms of l for the condition, that the bending moment at the prop is equal to the bending moment at the fixed end. Also determine the reaction at the prop and draw the shear force and bending moment diagrams.

w/unit length kl B P (1-k) 1