Given

the beam's width $L_2=90mm,$

the beam's height $L_1=65mm,$

the moments amplitude $M=24kN.m,$

and angle $=40,$

calculate the projected moments $M_y$ and $M_z$ in kN$.$m$,$

the second moments of area $I_y$ and $I_z$ in ${10}^6.m{m}^4,$

and the total stress at corner $D{}_D$ in MPa.

Enter your answers to two decimal points in the boxes below.

The answers are acceptable $($and score full marks$)$ within a tolerance of $0\mathrm{.}1kN.m$ for the moments, ${0\mathrm{.}110}^6.m{m}^4$ for the stresses, and $1$ MPa for the stress.

Respect the sign convention for tension and compression!

$M_y$:$,$ kN$.$m

$M_z$:$,$ kN$.$m

$I_y$:$,{10}^6*m{m}^4$

$I_z$:$,{10}^6.m{m}^4$

${}_D$:$,$MPa