#$3$ Solution $-$The building to be designed is a two$-$story office building. The roof plan will consist of T$-$beams which are supported by girders. The second floor will be a two$-$way slab on columns. The allowable bearing pressure for the soil is $3000psf.$

The superimposed dead load $($not including self$-$weight$)$ on the roof is $20$ psf$.$ This includes things like mechanical equipment, insulation, membrane, ceiling etc. The superimposed dead load on the floor is $30psf.$ Snow loads, roof uplift due to wind, roof live load, and floor live loads are all to be determined according to ASCE $?.$ You may use live load reduction where appropriate.

Continuous one$-$way roof slab that spans between the stems of T$-$beams. Be sure to determine positive and negative moments. Determine the temperature and shrinkage reinforcement $($parallel to the T$-$beams$).$

The roof $T-$beams which are assumed to be simply supported. For any $T-$beams framing into columns add reinforcement to resist a negative moment of $w_w\frac{d^2}{16}.$

The roof girders which are assumed to be simply supported between columns. They must be as deep or deeper than the T$-$beams framing into them. They are loaded by point loads from the $T-$beams. Add reinforcement near the column locations to resist a negative moment according to the following rules: at interior face of extemal column $w_4\frac{l^2}{16}+$ sum of concentrated

loads that act on the span.