$(20pts)$ Two $t=\frac{1}{2}$ in thick, $b=8$ in wide, A$36$ steel plates form a lap joint with six of $d=\frac{5}{8}$ in diameter A$325$X bolts. The relevant appendix tables are given as below. Calculate

$(4$ pts$)$ the load that the joint can support to resist shear failure $P_S[kip]$

$(4$ pts$)$ the load that the joint can support to resist bearing failure $P_P[kip]$

$(4$ pts$)$ the load that the joint can support to resist gross tensile failure $P_G[kip]$

$(4$ pts$)$ the load that the joint can support to resist net tensile failure $P_N[kip]$

$(4$ pts$)$ the joint efficiency $[\%]?$

Table B$3$: Materials Properties of Bolts in Bolted Joints$*$

$\backslash$table$[[$Bolt Specification,${}_{\text{a}\text{l}\text{l}}$