Q$2)(60$ marks$)$ For the shown slab supported on beams $1$ and $2,f_y=280$MPa,$f_c^{\text{'}}=30$MPa

a$)$ Find the minimum thickness of slab according to ACI $?$

b$)$ Find dead load of the slab? Use $3cm$ tiles with density of $19k\frac{N}{m^3}$

c$)$ Assuming live load on this slab is $5k\frac{N}{m^2},$ design the slab for shear and moment?