Q$1.(30$ pts$)$

A concrete floor slab is reinforced with $5/8-$inch$-$diameter steel rods placed $1\mathrm{.}5$ in $.$ above the lower face of the slab and spaced $6$ in $.$ on centers. The modulus of elasticity is $29{10}^6$psi for steel and $3\mathrm{.}6{10}^6$ psi for concrete. With an applied bending moment of $50$ kip $.$in for $1-ft$ width of the slab, determine a$)$ The maximum stress in the concrete

b$)$ The maximum stress in the steel

c$)$ The value of $?$ indicated on the diagram

Q$2(10$ pts$)$ TRUE$/$FALSE

a$)$ When the maximum stress is equal to the ultimate strength of the material, failure occurs.

b$)M_u$ is referred to as the universal bending moment.

c$)$ Concrete beams subjected to bending moments are reinforced using steel rods because steel rods carry the entire tensile load below the neutral surface.

d$)$ A beam section with a larger section modulus will have a lower maximum stress.

e$)$ For a member in pure bending, the moment of the couple is the section bending moment.