QUESTION $2[25$ MARKS$]$

A $150mm$ thick simply supported reinforced concrete $($R$.$C$)$ roof slab over a proposed single garage with overall dimensions of $6230mm3230mm$ supports a live load of $10k\frac{N}{m^2}.$ The slab is supported by $230mm$ thick walls.

Assume deflection is acceptable $($no need to check$),$ concrete cover is $25mm,$ characteristic strength $f_{cu}$ is $30$MPa, steel yield strength, $f_y$ is $450$MPa, $16$ mm is used for main reinforcement, and $\frac{O}{10}mm$ is used for transverse reinforcement for effective depth.

$($a$)$ Determine the required area$($s$)$ of the reinforcement in short and long span. $(21$ marks$)$

$($b$)$ Check the code requirements for minimum and maximum area of reinforcement, bar spacing, and choose suitable reinforcement$($s$)$ for the slab.

$(4$ marks$)$