Question $1$

A rectangular beam is simply supported over a span of $6m$ and carries characteristic dead load including self$-$weight of $12\mathrm{.}7k\frac{N}{m}$ and characteristic imposed load of $6\mathrm{.}0k\frac{N}{m}.$ The beam is $200mm$ wide by $300mm$ effective depth and the effective depth $d^{\text{'}}$ of the compression steel is $60mm.$ Design the steel for mid$-$span of the beam for $f_{ck}=25$MPa concrete and $f_{yk}=500$MPa reinforcement.

Assume: