Problem #$1$ The single$-$story building with the plan view shown below carries its self$-$weight, an unfactored superimposed dead load of $20psf$ and an unfactored live load of $60psf.$ The two slabs, $S1$ and $S2,$ are both one$-$way slabs $($since ratio of long to short side $>2)$ and, therefore, transfer area loads to the supporting beams along their short direction. The overall thickness of each slab is $6".$ The structure is made of normalweight concrete that has unit weight $w_c=150l\frac{b}{f}{t}^3.$

a$)$ Determine the uniformly distributed loads that are applied to the rectangular beams due to total dead $(D)$ and total live $(L)$ loads. Dead loads due to the self$-$weight of structural members shall be computed.

b$)$ Create a three$-$dimensional frame model of the structure in SAP$2000($slab not modeled$)$ and analyze the structure for the governing load combination of $1\mathrm{.}2D+1\mathrm{.}6L.$ The story height is $h={12}^{\text{'}}$ and the building is fixed at its base. Display the bending moment diagrams and show their values $($M$3-3$ and M$2-2)$ in SAP$2000.$ Provide screenshots of such bending moment diagrams.