Problem $3(200$ pts$)$

A three$-$story reinforced concrete building is supported on columns placed on a grid and spaced $20$ ft apart in each direction. The story height, measured from the top of one slab to the top of the slab above, is $13$ ft $.$ At the first level, the distance from the tops of the footings to the top of the firststory slab is $18ft.$ The columns are $18$ in by $18in.$ Beams span between columns in each direction. The slabs are all $6$ in thick two$-$way spans. Concrete has compressive strength of $6000lb\frac{f}{i}{n}^{{?}^{?}}2$ and a modulus of elasticity of $4\mathrm{.}4{10}^{6}lb\frac{f}{i}{n}^2$ is used throughout the structure.

If the moment of inertia of the spandrel beams is $10,000i{n}^4,$ what is the relative stiffness parameter, $,$ at the top of the first$-$floor corner column?

elevation