Q$2.$ The layout shown is for a solid slab with a thickness of $28cm.$ The total service dead load for the slab $=0\mathrm{.}8\frac{t}{m^2}$ and the service live load $=0\mathrm{.}35\frac{t}{m^2}.$ All long beams have $b=70cm$ and $h=90cm(28cm$ slab $+62cm$ drop$).$ All short beams have $b=60cm$ and $h=80cm(28cm$ slab $+52cm$ drop$).$ All columns are $60cm60cm.$

a$.(10$ points$)$ Check the slab thickness for deflection control and shear, but do not modify the given thickness. Assume that $fm>2.$

b$.(10$ points$)$ If the solid slab is to be replaced with a ribbed slab, what would be the required thickness. Assume a $7cm$ topping slab, $50cm$ blocks, and $15cm$ wide ribs $($R$.$U$.=65cm).$

c$.(25$ points$)$ If the exterior negative moment $$ for Frame $A=30$ t$.$m$,$ determine the moments for the beam, column strip slab, and middle strip slabs. Assume af for the longitudinal beam $=5.$

d$.(10$ points$)$ If the column strip slab moment $=10t.m,$ determine the required reinforcement spacing using $16$ bars.

e$.(15$ points$)$ If the same layout is for a flat plate, determine if there is a punching shear problem for an interior column. Ignore shear transfer of bending moment.