In the given slab system

a$.$ Determine the type of D$1$ slab, calculate the internal forces, design and place the reinforcement. $($Loads: Finishing$+$Mortar $g_1=1\mathrm{.}5k\frac{N}{m^2},q=2\mathrm{.}0k\frac{N}{m^2})$

b$.$ For ribbed slab $(P_d=12\mathrm{.}25k\frac{N}{m}),$ by using the moment diagram given in the figure, perform the bending calculation, and choose the reinforcement $($The support moment correction shall not be made$).$

c$.$ For ribbed slab, perform the calculation of shear and choose shear reinforcement. Then, show all rebars in cross section and longitudinal sections. $(40$ p$)$

Material: $C\frac{30}{S}420,d^{\text{'}}=30mm$