For the beam and cross section shown: $($a$)$ Sketch the shear and bending moment diagrams, $($b$)$ compute

the maximum value of q $[$kN$/$m$]$ considering that the strength requirements are $$allow $=175$ MPa and $$allow

$=100$ MPa, and that the serviceability limit $($deflection$)$ is $=10$ mm$,($c$)$ find the state of stress of the

point G on the cross$-$sections corresponding to the bending moment and shear force at locations F and H

on the beam, draw the Mohr$$s circles for these two $($state of stress$)$ cases, and sketch their corresponding

stress elements, $($d$)$ draw the shear flow diagram through the cross section for the maximum shear force in

the beam. Take E $=200$ GPa.