Problem #$1$:

The floor system in a school classroom is constructed using a series of two$-$bay frames that are spaced $25-ft$ apart. The frames are connected using hot$-$rolled beams that are spaced at $10\text{'}.$ A normal weight $5-$in reinforced concrete one$-$way slab is then supported by the beams. Frame girders are simply supported over interior columns, and the beams are attached to the frame girders using simple shear connections. Draw the gravity load diagrams that need to be considered in the design of an interior beam and an interior frame girder. Assume that structural steel weight is about $7$ psf for beams and $9$ psf for girders, and that additional flooring weight is about $10$ psf $.$ The floor must also support $5$ psf of mechanical and plumbing load, $5$ psf for fixed partitions, and a channel suspended ceiling system with a $\frac{1}{2}$ in gypsum board.