Q$3.(30$ marks$)$ Beams: The beam with the length of $L=30$ feet is a $W1657$ made of $A992$ steel

and $\{$:$E=29000$ksi$)$ and has continuous lateral support. Check if flange and web of the

beam are compact and determine the maximum permissible value of the service live load $P$ by

drawing the bending moment diagrams using the load combination of $1\mathrm{.}2D+1\mathrm{.}6L?$