A simply supported beam $(=50)$ with a span of $28$ is laterally supported at both ends and midspan. The beam is loaded with a uniform dead load $($excluding self$-$weight$)=0\mathrm{.}7$ and a uniform live load $=1\mathrm{.}4.$Determine the following:$1)$ Select the lightest W section. Assume only flexure and omit shear and deflection$\mathrm{.}2)$ For the beam selected from $1),$ estimate the size of channel section bracing $($i$.$e$.,$ select section$)$ required. The bracing frames into both sides and is attached to the compression flange. Assume length of bracing is $6.$