Figure $1($a$)$ shows a thin$-$walled cantilever beam. The cross$-$section of the beam has a $\backslash ($ Z $\backslash )$ shape, and its dimensions are given in Fig. $1($b$).$ A vertical force $\backslash ($ F$\_\{$y$\}=100\backslash$mathrm$\{$~N$\}\backslash )$ is applied at the cantilever tip $\backslash (($Z$=2\backslash$mathrm$\{$~m$\})\backslash )$ while the other end of the beam is clamped $\backslash (($Z$=0)\backslash ).$ Moreover, the force is applied at the shear centre of the cross$-$section. The wall thickness $\text{'}\backslash ($ t $\backslash )\text{'}$ equals $1$ mm $.$

Figure $1$: cantilever beam.

For the most loaded section of the beam

$($a$)$ Calculate the direct stress and draw it$.$

$($b$)$ Calculate the shear flow and draw it$.$