Problem $1.$ Two W$14$x$38$ tension members are connected with a splice connection using plates attached at the top and the bottom flanges. The design axial load $P_u$ is $320$ kips. The bolts are made of $A325x,$ and the bolt diameter is $\frac{1}{2}$ inch.

$($a$)$ Identify how many bolts are needed for the splice connection using the shear strength of bolts.

$($b$)$ Place the bolts $($draw both top view and side view of one flange$)$ and determine the required splice connection length, $L_{\text{p}\text{l}\text{a}\text{t}\text{e}},$ with the thickness of $\frac{3}{4}$ inch.