: A simply supported T$-$Beam with a length of $36$ ft and the cross$-$section below has the

following material and reinforcement properties:

$f_c=4000$ psi

fy $=60,000$ psi

and is subject to the following loads:

$w_d($NOT including self$-$weight$)=0\mathrm{.}7\frac{k}{f}t$

$w_1=1\frac{k}{f}t$

Find The following:

a$)$ The weight of the section in $\frac{k}{f}t$

b$)$ The factored design moment $(M_u)$ for the beam per ACI

$318$

c$)$ Is the neutral axis at ultimate strength within the flange

or the web of the T$-$Beam?

d$)$ The factored moment capacity $(M_n)$ of the beam per

ACI $318$

e$)$ Ensure the reinforcement ratio is within the ACI $318$

minimum and maximum limits

f$)$ Is the current beam sufficient for the applied loads?