Problem #I $(12$ Points$)($ABET SO$4)$

Design the solid slab shown in figure below using ACl direct design method. All columns a $16$ in X $16$ in$.$ Dead loading including self$-$weight is $100$ psf and L$.$ive load $120$ psf$.$ Fe$\text{'}3000$ psi fy is $60000$ psi. assume slab thickness $7$ in$.$ clear cover I in$.$ use # $4$ rebars.

A$)$ Check the minimum thickness for the exterior slab?

B$)$ Check the slab for one$-$way shear.

C$)$ Check the slab for two$-$way shear for interior column.

D$)$ Design the marked slab for long direction.

$($a$)$ Edge beam dimensions

Edge beam cross section