Answer provided, please provide calculations for these solutions.

An MC$618$ tension member of A$242$ steel is welded to a $3/8$ in thick gusset plate of A$36$ steel using $\frac{1}{4}$ welds as shown in the figure. The longitudinal welds are $8$ in long and stop at a distance of $\frac{1}{2}$ in from the edge of the plate. Use E$70$ electrode.

$($i$)$ Determine the design tensile strength based on the weld. Answer: $R_n=125\mathrm{.}8$ kip

$($ii$)$ Determine appropriate dimensions of the slot weld if the connection strength in $($i$)$ needs to be increased to $175$kip. The weld will have semi$-$circular ends.

Hint: Decide on the thickness and width of the slot weld based on minimum requirements.

Use numbers rounded up to nearest $\frac{1}{16}$ in$.$ Compute length by setting t equal to the required strength.

Answer: Provide $\frac{3}{8}$ thick, $\frac{3}{4}$ in wide, and $\frac{21}{4}$ in long slot weld.