$(2)$

$f_c^{\text{'}}=4$ksi

Grade $60$ steel NWC

${}_{DL}=2\mathrm{.}2kLf.$ including self$-$weignt.

$=\frac{E_s}{E_c}=8$

$W_{LL}=1\mathrm{.}4,KLf$

$I_g=\frac{1}{12}14{27}^3=22,964i{n}^4$

$f_r=7\mathrm{.}5\sqrt[\phantom{2}]{f_c^{\text{'}}}=474$

$+x*\frac{x}{2}=841$

$(24-x)$

$x=8\mathrm{.}44$

$I_{+r}=\frac{1}{3}14{8\mathrm{.}44}^3+84(24-8\mathrm{.}44{)}^2$

$I_{tr}=10,553i{n}^4$

$=10,553i{n}^4$

The immediate deffection due to hive Load $=\frac{l}{500}.$

Check if ${}_{LL}$ meets the criteria above.