A T$-$shape beam is subjected to a vertical shear force of V $=50$ kN$.$ The beams centroid is located $211\mathrm{.}1$ mm above the bottom surface of the beam, and the moment of inertia is Iz $=48\mathrm{.}7\backslash$times $106$mm$4.[$b $=178$ mm$,$ h $=300$ mm$,$ tf $=12\mathrm{.}3,$ tw $=9]$

$1)$ Determine the maximum shear stress in the entire section.

$2)$ Determine the shear stress in the flange at the intersection of the flange and the web.

$3)$ Determine the shear stress in the web at the intersection of the flange and the web.