Given:

A$"$double$-$angle shape, $2L86a^{\text{'}\text{'}}$ of A$572$ Grade $50$ steel is used for a built$-$up tension member as shown in the figure below. The holes are for $\frac{7}{8}-$inch$-$diameter bolts.

$a=\frac{7}{8}$

$b=3\mathrm{.}5$

Find:

Determine the design strength of the tension member for the following case.

Gross yielding $(6$ points$)$

Net rupture $($check all the possible failure path$)(12$ points$)$

Black shear for the block shown in the figure. $(12$ points$)$

Note: Use Case $2$ in table D$3\mathrm{.}1$ to calculate the shear lag factor, U$.$