$2\mathrm{.}13$ The $16$ in$.27$ in$.$ rectangular reinforced concrete beam shown below is reinforced with $4$#$10$ bars in the positive moment region and $3$#$11$ bars in the negative moment region. Determine the maximum factored uniformly distributed load, $w_u,$ for this beam. Stirrups are #$4,f_c^{\text{'}}=5,000,$ and $f_y=60,000$ psi.

In the following problems, unless noted otherwise, use normal weight concrete with a unit weight of $150$ pcf$,1\mathrm{.}5$ in$.$ for beam clear concrete cover, and $0\mathrm{.}75$ in$.$ for slab clear concrete cover.