Long answer $(30pts)$: A reinforced concrete slab supports a factored design load $q_u=250psf$ over

an $8-$ft cantilevered span. The concrete compressive strength is $4200.$

a$.$ Draw a representative one$-$foot design strip for the slab. Include all primary and secondary

reinforcement for the given loading. Label all variables and dimensions.

b$.$ Determine the minimum allowable slab thickness considering all relevant requirements of the ACl

$318$ building code. Round to the nearest whole inch in the appropriate direction.

c$.$ Design the primary reinforcement using #$4$ Grade $60$ reinforcing bars at the appropriate spacing.

Round the spacing to the nearest whole inch in the appropriate direction. State all assumptions.

d$.$ Design the secondary reinforcement using #$3$ Grade $60$ reinforcing bars at the appropriate spacing

and in a single row. Round the spacing to the nearest whole inch in the appropriate direction.

e$.$ Prove your design satisfies the limit state equation $M_u{M}_n.$

f$.$ Prove your design is tension$-$controlled.