The $6$ x $12-$inch timber beam has been strengthened by bolting to it the steel reinforcement shown. E$($wood$)=1\mathrm{.}8$ x ${10}^6$ psi, Esteel $=29$ x ${10}^6$ psi. Knowing that the beam is bent about a horizontal axis by a couple of moment M $=450$ kip$$in$,$ determine the maximum stress in $($a$)$ the wood, and $($b$)$ the steel. Do this by transforming the wood $to$ steel.