Part $1$: Given the section properties and the material properties to the right, is the beam adequate to support the loads shown above? Remember to check shear and movement.

S$\_($x$)=78$in$^(3)$

I$\_($x$)=475$in$^(4)$

t$\_($w$)=0\mathrm{.}360$in

d$=12\mathrm{.}2$in

F$\_($b$),$ allow $=30$ksi

F$\_($v$),$ allow $=30$ksi

E$=29,000$ksi

Part $2$: caculate the deflection of the beam

at midspan.