QUESTION $1[25$ MARKS$]$

An R$.$C beam of dimensions $600300mm$ simply supported rectangular beam spans $8\mathrm{.}0m$ to the centre of supports.

The beam carries its self$-$weight and live load of $30k\frac{N}{m}.$

Use the following information:

$f_{cu}=25$MPa,

$f_y=450$MPa

Concrete cover $=25mm$

$\frac{O}{25}$ for tension, $\frac{O}{16}$ for compression and $\frac{O}{10}$ bars for shear reinforcement.

Assume the deflection is acceptable $($ no need to check$)$

$($a$)$ Calculate the ultimate design moment of the beam.

$(7$ marks$)$

$($b$)$ Provide the suitable tension and compression reinforcement$($s$)$ for the beam. Check all necessary code requirements.

$(18$ marks$)$