Q$.2$ A rectangular beam simply supported at both ends with the following design parameters. Design the main and shear reinforcement for the beam.

Design parameters

$,$Beam overall depth, $h=650mm$

$,,$Beam breadth, $b=300mm$

$,,$Effective span, $L=7400mm$

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

$,,,,f_y=500$MPa

$,,,,f_{yv}=250$MPa

$,,,$Cover $=35mm$

$,,$Preferred bar size $=40$

$,,$Preferred link size $=10$

$,$Design Load $($udl$),$ included$)$

$($Answers: $d=585mm.K=0\mathrm{.}150,A_{s,\text{r}\text{e}\text{q}}=3070m{m}^2,3T40,v=1\mathrm{.}90,v_c=0\mathrm{.}95,\frac{A_{sv}}{s_v}=1\mathrm{.}30mm,R10-2$ legs$-100\frac{c}{c}.)$