A simply supported beam is subjected to a uniformly distributed

A simply supported beam is subjected to a uniformly distributed load of intensity w per unit length, on half of the span from the end. The length of the span and the flexural stiffness are denoted as l and EI, respectively. The deflection at mid-span of the beam is

Apply Maxwell reciprocal theorem.

δ_c =	5ωl⁴
	384EI

∴ δ_c₁=	δ_c	=	5ωl⁴
	2		384EI

	5		wl⁴
	6144		EI

	5		wl⁴
	786		EI

	5		wl⁴
	384		EI

	5		wl⁴
	192		EI