Two people weighing W each are sitting on a plank of length $$L$$ floating on water at $$L/4$$ from either end. Neglecting the weight of the plank, the bending moment at the center of the plank is

For the simply supported beam of length $$L,$$ subjected to a uniformly distributed moment $$(M)$$ $$kN$$-$$m$$ per unit length as shown in the figure, the bending moment (in $$kN$$-$$m$$) at the mid-span of the beam is

Match List- $${\rm I}$$ (Shear Force Diagrams) beams with List- $${\rm II}$$ (Diagram of beams with supports and loading) and select the correct answer by using the codes given below the lists:

A simply supported beam $$AB$$ has the bending moment diagram as shown in the following figure :

The beam is possibly under the action of following loads