The two C$10$ x $20$s shown in Fig.$\text{'}$ have been selected to support a dead tensile working load of $120$ k and a $240-$k live tensile working load. The member is $30$ ft long, consists of A$36$ steel, and has one line of three $7/8-$in bolts in each channel flange $3$ in on center. Using the AISC Specification, determine whether the member is satisfactory and design the necessary tie plates. Assume centers of bolt holes are $1\mathrm{.}75$ in from the backs of the channels. Minimum tensile stress: $58$ klb$/$in$2$ and Minimum yield stress: $360$ klb$/$in$2$