Problem $1$:

The cantilever beam is shown in the figure below. The cross$-$sectional dimensions of the beam cross$-$section and the location of point H are shown in the figure. Use the following values: $a=2\mathrm{.}15m,b=0\mathrm{.}85m,P_y=13kN,P_z=6kN.[$given $I_z=61,157,839\mathrm{.}3m{m}^4$ and $I_y=8,198,459\mathrm{.}8m{m}^4]$

$(1-$a$)$ Determine the normal stresses acting at point $H?$

$-150\mathrm{.}6$MPa

$-75\mathrm{.}8$MPa

$-10\mathrm{.}48$MPa

$-30\mathrm{.}9$MPa