Prob. $6\mathrm{.}10-17.$ The beam in Fig. P$6\mathrm{.}10-17$ supports a concentrated downward load $P=20kN$ at its left end and a uniformly distributed downward load $w=40k\frac{N}{m}$ over the span $BC.$ If the beam is a W$31052$ wide$-$flange beam, $($a$)$ determine the maximum flexural stress, ${}_{\text{m}\text{a}\text{x}},$ and $($b$)$ determine the maximum transverse shear stress, ${}_{\text{m}\text{a}\text{x}}.$