Problem $1($Full credit $=3$ pts$)$: Select an $A36$ steel $W($wide flange$)$ section as a beam to carry a

combined uniform distributed load of $10,000$ plf and an $80-$kip concentrated load placed at

midspan. The beam's span L is ${36}^{\text{'}}.F_b$ and $F_v$ are $0\mathrm{.}6Fy$ and $0\mathrm{.}4F$ y respectively, where $Fy$ is the

yield strength of A$36$ steel. The Modulus of Elasticity, E$,$ for A$36$ steel is $29{10}^6$ psi. The deflection

requirement is $D.$