Problem $3-$ Given the end$-$span or an exterior span of the one$-$way slab below, where $t_{\text{s}\text{l}\text{a}\text{b}}=8^{"}$ and standard cover of $\frac{3}{4}"$ throughout. Take $f_c\text{'}=4,000$ psi $($normal$-$weight, $150pcf)$ and $f_y=60,000$ psi. Assume development length is adequate. Superimposed service live load and dead load are $50$ psf and $15$ psf$,$ respectively.

$($a$)$ Check the adequacy of the slab for flexure at $($i$)$ mid$-$span, $($ii$)$ the interior face of the exterior support, and $($iii$)$ the exterior face of the first interior support.

$($b$)$ Check the adequacy of the slab for shear force at the exterior face of the first interior support.

$($c$)$ Determine the temperature and shrinkage reinforcement, which is to be provided perpendicular to the main reinforcement, of the slab.