$7\mathrm{.}11-7$ Design a welded connection for an MC$9$x$23\mathrm{.}9$ of A$572$ Grade $50$ steel connected to a $\frac{3}{8}"$ thick gusset plate as shown below. The gusset plate is A$36$ steel. Show your results on a sketch, complete with dimensions.

a: Use LRFD

Hints:

Use $\frac{5}{16}"$ welds

Weld $3$ sides

Determine the ultimate force from the ASD loads given.

Determine the total length of weld required by using the capacity of a $\frac{5}{16}"$ weld per inch of length divided into the ultimate load to get the total length of weld.

You can weld $9"$ along the end of the C$9$ channel. Subtract that from the total length required, and divide it by $2$ to get the length of weld along the top and bottom flange.

Check if the design block shear strength of the $\frac{3}{8}"$ gusset is greater than the ultimate design force.