Question $1$ A beam ABCD has a length $\backslash ($ L $\backslash )$ of $4\mathrm{.}5$ m $,$ a width $\backslash ($ b $\backslash )$ of $250$ mm $,$ and a height $\backslash ($ h $\backslash )$ of $450$ mm $.$ It is fixed at D end. It is subjected to a concentrated force $\backslash ($ P $\backslash )$ of $60$ kN at C and a uniformly distributed load with an intensity $\backslash ($ q $\backslash )$ of $\backslash (30\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash )$ from A to B $,$ as shown in the figure below.

$($a$)$ Construct shear force diagram and bending moment diagram for beam ABCD $.$ Show calculation process and mark the critical values on the diagrams.

$($b$)$ Determine the values and locations of the maximum tensile stress and the maximum compressive stress in the beam.

$($c$)$ Determine the values and locations of the maximum shear stress.