Q$.2$ The continuous two$-$way spanning slabs in Fig. Q$\mathrm{.}2.$ are $125mm$ thick and are restrained by integral beams. The effective span in each direction of the two$-$way spanning slab is $4\mathrm{.}0m$ and $7\mathrm{.}0m.$ The slab supports the following loading:

Characteristic Dead Load:

Self$-$weight $($unit weight of concrete $=24\mathrm{.}5k\frac{N}{m^3})$

$20mm$ thick finishes $($unit weight $=20k\frac{N}{m^3})$

Ceiling load $=1\mathrm{.}0k\frac{N}{m^2}$

Partition $=1\mathrm{.}0k\frac{N}{m^2}$

Characteristic Imposed Load $=5\mathrm{.}0k\frac{N}{m^2}$

The characteristic material strengths are $f_{cu}=40\frac{N}{m}{m}^2$ and $f_y=500\frac{N}{m}{m}^2.$ Nominal cover $=30mm.$ Main bars along short span are T$12-150$ c$/$c $($for both top & bottom$)$ and long span are T$12-250$ c$/$c $($for both top and bottom$)$ respectively.

For slab group no$\mathrm{.}3$:

$($a$)$ Determine the design load.

$($b$)$ Check the slab adequacy against bending moments.

$($c$)$ Check the slab adequacy against shear forces.

$($d$)$ Check and state whether the slab is adequate to resist deflection.

Fig. $0\mathrm{.}2$