At $x$ w inches bar with a rectangular cross$-$section carries a static load of $14\mathrm{.}1$ kip force. It is

welded to a gusset plate with a fillet weld, $2\mathrm{.}0$ inches long on both sides with an E$70$xx

electrode. The bar has a yield strength of $26\mathrm{.}2$ksi.

Calculate the minimum fillet weld size $($h$)$ required for this design $($in inches$).$

Given: $t=0\mathrm{.}4$ inch, and $w=2\mathrm{.}2$ inches.