Q$1$: $50$ points

For the given beam $L=8m$ and the design load $w_d=40k\frac{N}{m}.$ If concrete C$45$ and steel is S$420,$ design the beam to carry the load $w_d$ if there is no restriction for section geometry.

Note:

For a good design the beam effective depth $d$~~$1\mathrm{.}6bw$ or $h$~~$2bw,$ where $h$ is total depth

The distance from bottom of concrete to steel center, which inlcude clear cover $+$ diameter of stirrup $($shear reinforcement$)+\frac{1}{2}$ diameter of longitudinal steel, is about $50mm$ or if needed about $40mm$ minimum.

For $K_L,J_L,{}_L$ and $K_M,J_M,{}_M$ can be calculated or obtained from table in your book.