For the single$-$shear lap joint shown, the

two plates are made of ASTM A$36$ steel,

with size of $t=\frac{1}{2}$ in thick, $b=12$ in wide,

the $(9)$ high$-$strength bolts are of $d=\frac{7}{8}$ in

diameter $A325x$ bolts. Calculate

the load that the joint can support to

resist shear failure, $P_s[kips]$

the load that the joint can support to resist bearing failure, $P_P[kips]$

the load that the joint can support to resist gross tensile failure, $P_G[kips]$

the load that the joint can support to resist net tensile failure, $P_N[kips]$

the joint efficiency, $[\%]$