Tensile Strength Assignment

A double$-$angle shape, $2L74\frac{3}{4},$ is used as a tension member. The two angles are connected to a gusset plate with $\frac{7}{8}-$inch$-$diameter bolts through the $7-$inch legs, as shown in the figure below. A $572$ Grad steel is used: $F_y=50$ksi.$F_u=65$ksi. Suppose that $t=\frac{3}{4}in,$

For $L74\frac{3}{4}$:$A_3=7\mathrm{.}74i{n}^2.\stackrel{}{x}=1\mathrm{.}00in.$

a$.$ Compute the design strength.

$($Express your answer to three significant figures.$)$

${}_1{P}_{nb}=,$kips

b$.$ Compute the allowable strength.

$($Express your answer to three significant figures.$)$

$\frac{P_n}{{}_t}=,kjps$