Q$2.(10$ Marks$)$

$($a$)$ From first principles, determine the equations of the shear and bending moment curves for the beam shown.

$($b$)$ Plot the curves for the shear and bending moment diagrams showing correct units and labels. $($use EXCEL$).$

BONUS $(5$ Marks$)$ If the beam in Q$2$ is a W$200\backslash (\backslash$times $19\mathrm{.}3\backslash )$ determine the maximum normal stress and the maximum shearing stress in the beam.