A WT$9$X $20,$ A$992$ steel, with the flanges welded to a $1/2$ in$.$ gusset plate by a $12$ in$.$ weld along each side of the flange. determine the available strength of the gusset plate if using a $1/2$ inch thick, $14$ inch wide plate, A$36$ steel $($considering all limit states$)$; also, determine the available strength of the A$992$ WT for the limit state of block shear rupture.