Given: A four$-$story building is to be designed for classroom use. The special moment frames have been selected as the lateral force resisting system in each of the orthogonal directions. The composite floor$/$roof system is used, with the W$3$ metal deck and $31/4-$in light weight concrete. The following dead loads are used for the design of gravity framing members $($beams$,$ girders and columns$)$:

Floor Dead Load:

W$3$ Metal Deck $+31/4"$ Lt$.$ Wt$.$ Concrete $46psf$

Ceiling $5$ psf

Mech.$/$Misc$./$Sprinkler $5psf$

Roof Dead Load:

W$3$ Metal Deck $+31/4"$ Lt$.$ Wt$.$ Concrete $46$ psf

Ceiling $5psf$

Rigid Insulation $(2")3$ psf

Roofing$($Four$-$ply felt and gravel$),5\mathrm{.}5psf$

Mech.$/$Misc$./$Sprinkler $5psf$

Required: Determine the maximum factored loads $($at ultimate strength level$)$ to which the gravity framing members of the building are subjected to$,$ respectively. Neglect the self$-$weight of the beams$/$columns in the preliminary design calculations.

Typical floor joist

Typical floor girder

The design force of the typical gravity column in the third story and the first story, respectively.