Problem $3(8$ points$)$

A simply supported I$-$beam is subjected a uniformly distributed line load $(q).$ The bending rigidity

$EI$ and $L$ are given, and the beam cross$-$section profile is also shown below.

$($a$)(4$ points$)$ Sketch the shear and bending moment diagrams of the beam.

$($b$)(4$ points$)$ Find the maximum normal stress ${}_{},$ maximum shear stress ${}_{xy},$ and maximum

shear stress ${}_{xz}.$ Mark those maximum stress components on the figures.

$($Hint: You can assume $th$ if you like to simply the final answer, otherwise, you can leave

complex symbolic calculation there. Show the major steps.$)$

help please