Framing Plan

Table $1$

$\backslash$table$[[$Column:$,$Size,Flange$],[$width$($in$),$Depth$],[C1,$W$12\backslash$times $40,8\mathrm{.}005,11\mathrm{.}94],[C2,$W$12\backslash$times $50,8\mathrm{.}080,12\mathrm{.}19]]$

What is the heaviest structural steel member needed to construct the roof? The columns are $20$ feet high. The flange width for the W$16$x$77$ is $10\frac{1}{4}$ inches. The properties of the columns are found in Table $1.$

And show the work step by step so that i can learn from it