Q$.1$ For the simply$-$supported rectangular beam with the following design parameters, $($i$)$ Calculate the design bending moment, $($ii$)$ determine the area of steel required, and $($iii$)$ design the size and number of bars.

Design parameters

$,$Characteristic dead load, $g_k=36k\frac{N}{m}($s $\frac{?}{w}$ included$)$

Characteristic imposed load, $q_k=26k\frac{N}{m}$

$,,$Beam effective depth, $d=590mm$

$,,,$Beam breadth, $b=450mm$

$,,,$Effective span, $L=8500mm$

$,,,,f_{cu}=40$MPa

$,,,,f_y=500$MPa

$,,$

Answers $($Provided by Notes$)$: $M=830\mathrm{.}9kN-m,K=0\mathrm{.}133,A_{s,\text{r}\text{e}\text{q}}=3946m{m}^2,5T32..)$