The beam, shown in Figure $9\mathrm{.}3,$ contains a pin at point $C$ and a roller at point $A.$

a$)$ Draw the free body diagram of the beam. $($Marks $2)$

b$)$ Determine the support reactions at points A and $C.($Marks $3)$

c$)$ Determine the normal force, shear force and bending moment at point $D.($Marks $3)$

Figure $9\mathrm{.}3$