$($Please actually solve it and not just write out instructions, I$\text{'}$m so confused$)$The steel framing plan provided below supports a mezzanine platform used for heavy storage $($LL $=125$ PSF$).$ The beams support a concrete slab on metal deck $($DL $=55$ PSF$)$ that spans perpendicular to the beams $($one$-$way load path$).$ Beams $2$ & $4$ then transfer the load to the girders which are simply supported by the box columns. Beams $2$ and $4$ also brace the girders at midspan. Select the most economic W$-$shape from Table $3-10$ in the FE reference manual for Girder $1.$ Use LRFD load combos. Assume Cb $=1\mathrm{.}0$ and neglect the self$-$weight of the steel beams and girders. The square column that supports both Beam $1$ and Girder $1$ is an HSS$8$x$8$x$1/2.$ How tall can this column be to support the $125$ PSF live load and $55$ PSF dead load from the problem above? Assume the column is fix supported at the top $($but able to laterally translate$)$ and pin supported at the base. Ignore Beam $1,$ Girder $1$ and the column$$s self$-$wt$.$ You will need to use Table $1-12$ in the Steel Construction Manual to look up the necessary geometrical properties for a HSS$8$x$8$x$1/2$ column