An overlapping beam AB has simple supports at D and as shown in the figure above. It carries
concentrated loads P, at its free ends and a uniformly distributed load of intensity w(N/m) over its
length DE. If bending moment at the middle point C of the beam is to be zero then what is the value of P?
(a) $\frac{wl}{2}$
(b) $\frac{wl}{4}$
(c) $\frac{wl}{8}$
(d) $\frac{wl}{16}$