Please write all your calculations not just the result $($no point will be awarded for results only$).$

$\frac{15}{30}$ For a continous beam with given information, consider $(-)=\frac{wu.L^2}{8}$

Given:

For the shown beam, $f^{\text{'}}c=5$ksi,$fy=60$ksi,$wd=1\mathrm{.}2\frac{k}{f}t,wl=3\mathrm{.}2\frac{k}{f}t$

Compression reinforcement

$Es=30000$ksi

Tension reinforcement

$A^{\text{'}}s=3$#$6$ rebar

in $($to the center of two layers$)$

$1-$ Check if compression rebar is needed.

$2-$ Check if the beam with given information can tolerate the maximum negative moment.