Fig. $1$

$6.$ A rectangular beam on supports has bricks piled uniformly along its length such that there is a total weight of wo brick force per unit length along the length $($see Fig. $2).$ In terms of $w_0,$ the length of the beam $L,$ the height and width of beam $h$ and $b,$ respectively,

$($a$)$ Determine the maximum bending stress and describe$/$show its location in the beam.

$($b$)$ Determine the maximum shearing stress and describe$/$show its location in the beam

$($c$)$ Find the ratio of the maximum bending stress to the maximum shearing stress.

$($d$)$If this beam were to$.$ fail due to a maximum shearing stress critarion, where would happen? Note that all beams have an aspect ratio $\frac{L}{h}>10.$

Fig. $2$