A concentrated load P acts on a simply supported beam of

A concentrated load P acts on a simply supported beam of span L at a distance L/3 from the left support. The bending moment at the point of application of the load is given by

For horizontal equilibrium
R₁ + R₂ = P
Taking moment about R₁, we have
R₂ × L = P × L/3

R₂ =	P
	3

∴ R₁ =	2P
	3

The bending moment at the point of application of load = Area under OABC

=	2P	×	L	=	2PL
	3		3		9