A cantilever beam with a T$-$section is loaded by an inclined force of magnitude $6\mathrm{.}5$ kN $($see figure$).$ The line of action of the force is inclined at an angle of $60$ to the horizontal and intersects the top of the beam at the end cross section. The beam is $2\mathrm{.}5$ m long and the cross section has the dimensions shown.

Determine the principal stresses ${}_1$ and ${}_2$ and the maximum shear stress ${}_{\text{m}\text{a}\text{x}}$ at points A and $B$ in the web of the beam near the support.