The beam shown in Fig. $1$ is supported by a pin at A and a roller at B$.$ It supports a rectangular distributed load of $8k\frac{N}{m}$ between A and $B$ and a point load, $P=12kN$ at the free end. The beam has the cross$-$section shown with the neutral axis located at $0\mathrm{.}2035$ m from the bottom of the cross$-$section. The moment of inertia, $I_x=92\mathrm{.}6509({10}^{-6})m^4.$

a$)$ Draw the shear force and bending moment diagrams for the beam,

b$)$ Determine the shear stress at point $"A"$ due to the internal shear force at section a$-$a located just to the right of support $B,$

c$)$ Determine the absolute maximum bending stress in tension and compression in the beam.