For the beam illustrated, there is a roller support at point $"$A$"$ with a reaction force of Ay $=9\mathrm{.}3$ kN$,$ and a pin joint at point $"$B$"$ with a reaction force of By $=69\mathrm{.}7$ kN$.$

$($a$)$ Construct the full shear force and bending moment diagrams. $($b$)$ Considering x $=0$ at the left end of the beam, derive the equations for the shear force and bending moment, specifying the relevant sections. $($You may create table to use on another page$)$