Fig. $2$

$[30]$ Consider a statically determinate beam and its cross section shown in Fig. $2.$

There is an internal hinge at point $C.$ The moment of $0\mathrm{.}5kNm$ is applied to little bit

right$-$hand side of point $C.$

$($a$)$ Calculate the reactions.

$($b$)$ Construct the shear force diagram.

$($c$)$ Construct the bending moment diagram.

$($d$)$ How much is the maximum value of the normal stress caused by the bending moment

in this beam?