Question $3$

Given the unequal $Z-$section depicted in Figure $($a$),$ where the section is defined by the

mean line ABCD that is equidistant from the two walls, and with the corresponding mean

line shown in Figure $($b$).$ Calculate the following section properties:

$($a$)$ Area and verily point $O$ is the centroid of the cross section

$($b$)$ Moment of inertia about the centroid axes$---I_y$ and $I_z$

$($c$)$ The principal moment of inertia and the inclination of the principal axis.

$*$In the calculation, you can ignore all the terms that include $t^2$ and $t^3$ since $ta$ in the

figure.