Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video.

A wooden beam $(1)$ is reinforced with steel plates $(2)$ rigidly attached to its top and bottom surfaces, as shown in the figure.

Dimensions of the cross section are $b_1=6\mathrm{.}25in.,d_1=11\mathrm{.}75$ in$.,b_2=4\mathrm{.}00in.,$ and $d_2=0\mathrm{.}50in.$ The elastic moduli of the wood

and steel are $E_1=1,250$ksi and $E_2=30,000$ksi, respectively. The allowable bending stresses of the wood and steel are $1250$

and $20000$ psi, respectively. Determine the largest concentrated vertical load that can be applied at midspan if a simply supported

beam with this cross section spans $17\mathrm{.}6ft.$

$P=|$~$,lb$