Problem $3$

A $16\text{'}-$span simply supported slab carries a uniform dead load of $200$ psf $($excluding its own weight$).$ The slab has a uniform thickness of $8$ inch and is reinforced $\backslash$#$5$ bars spacing at $9"$ O$.$C$.$ Determine the allowable uniformly distributed load that can be applied on the slab if $\backslash (\backslash$mathrm$\{$f$\}^\{\backslash$prime$\}\backslash$mathrm$\{$c$\}=5\backslash$mathrm$\{$ksi$\}\backslash ),$ fy $\backslash (=60\backslash$mathrm$\{$ksi$\}\backslash ).$ Use unit weight of N$.$W$.$ concrete $\backslash (=145\backslash$mathrm$\{$pcf$\}\backslash )).$