Problem I $(50$ Points$)$:

A $20ft40ft$ cast in place concrete floor with a $5$ in slab is shown below. In addition to self$-$weight, the floor supports an unfactored live load $=100$ psf and a mechanical $+$ electrical $+$ Plumbing load $=5$ psf The concrete has a compressive strength$=4$ ksi

Provide the following information:

a$)$ Calculate and draw the demand moment diagram for the slab

$(20$ Points$)$

b$)$ Three different slab details for the floor are provided on the next page. Compare and contrast the three design options, and discuss which option is the most practical for the $20ft40ft$ floor. Provide at least $1$ calculation reason and $1$ detailing reason as to why you choose a particular option vs$.$ the other choices. Assume clear cover $=0\mathrm{.}75in.$

$(20$ Points$)$

c$)$ Compute the negative bending moment capacity for the option chosen in b$).$

$(10$ Points$)$