QUESTION $3$

$(7\mathrm{.}50-8\mathrm{.}05$ p$.$m$.)$

A simply supported, one$-$way, reinforced concrete slab of overall thickness $200mm$ and effective span $4m$ is provided with $10-mm$ diameter Fe $415$ steel bars spaced at $100mm\frac{c}{c}$ at an effective depth of $180mm$ in one direction, and at $320mm\frac{c}{c}$ at an effective depth of $170mm$ in the other direction. If the characteristic dead load due to self$-$weight of slab and floor finishes is $5\mathrm{.}5k\frac{N}{m^2}$ and M$15$ grade concrete is used, estimate the maximum characteristic live load that can be permitted on the slab. Also, check the adequacy of the design considering deflection requirements of the slab and provision of the secondary steel.