a$)(10$ points$)$ Beam dimensions are $b$ of $12$ in$,$ an effective depth $d$ of $22$ in$.,$ and a

reinforcement ratio $$ of $0\mathrm{.}01.$ The unfactored service is $w=3\mathrm{.}0ki\frac{p}{f}t.$ Find if the

maximum stress in concrete and steel at midspan exceed limits of:

$f_{s}24$ksi,$f_{c}0\mathrm{.}45f^{\text{'}}$

b$)(10$ points$)$ If the width of the beam is $12$ in and the reinforcement is $0\mathrm{.}01,$ indicate the

minimum effective depth that the beam has to have in order to meet the above steel and

concrete stress criteria at midspan.