For the given doubly reinforced section, can the shown beam support the applied load?

a$)$ Find ultimate moment.

b$)$ Does the compression steel yield?

c$)$ Find Nominal Moment

d$)$ Find the strain in the tension steel and find $.$

e$)$ Is the beam safe?

$A_s^{\text{'}}=3$#$8$ bars, $A_s=6$#$8$ bars, $f_y=60,000$ Psi, $f{c}^{\text{'}}=3,000$ Psi.

The dead load of $1\mathrm{.}5\frac{k}{f}t$ includes the beam weight