A $\frac{3}{4}$ in$.10$ in$.$ plate is connected to a gusset plate by $\frac{7}{8}$ in$.$ diameter bolts, as shown in the figure.

$($a$)[$Points: $\frac{0\mathrm{.}1}{3}$ Determine the net area $A_n$ of the plate.

$($b$)[$Points: $0\mathrm{.}1/3]$ Determine the effective net area $A_e.$

$($c$)[$Points: $0\mathrm{.}4/3]$ Determine the design tensile strength $P_u$ of the gusset plate when it is made of A$36$ steel $)=36$ksi,$F_u=(58$ksi. Parse the three most probable fracture paths to identify the critical that controls the design.

$($d$)[$Points: $0\mathrm{.}4/3]$ Determine the resistance strength to shear block $R_u$ of the gusset plate A$36$ steel $($:$36$ksi,$F_u=58$ksi$\}.$ Parse the three most probable fracture paths to identify the critical one that controls the design.

Comparable Gusset plate connections.