Q$3)$ The beam ABC is loaded with a uniform force of intensity $2k\frac{N}{m}$ over $AB$ and an unknown concentrated force $P$ at $C$

a$)$ Determine the magnitude of $P$ such that the magnitudes of the maximum $($positive$)$ and minimum $($negative$)$ moments over the beam ABC willbe equal.

b$)$ If $P$ is $1kN,$ draw axial force, shear force and bending moment diagram for ABC. Shown the locations where these internal forces become maximum and minimum.