Question $2$:

A W$410$x$39$ steel beam, with cross section oriented as shown, carries the applied loading shown.

$($a$.)$ Determine the MAGNITUDE & LOCATION of the maximum bending shear force $(V_{\text{M}\text{A}\text{X}}.[2]$

$($b$.)$ Determine the MAGNITUDE & LOCATION of the maximum bending shear stress $(f_{\text{V}\text{M}\text{A}\text{x}}).[5]$

$($c$.)$ Determine the MAGNITUDE of the shear stress $(f_v)$ at $35mm$ above the neutral axis at the location of maximum shear force. $[3]$

$($d$.)$ Sketch the bending shear stress diagram for the cross section. $[1]$