USE SABS standards as a guide

QUESTION $2[25$ MARKS$]$

A $150$ mm thick simply supported reinforced concrete $($R$.$C$)$ roof slab over a proposed single garage with overall dimensions of $6230$ mm x $3230$ mm supports a live load of $10$ kN$/$m$^2.$ The slab is supported by $230$ mm thick walls.

Assume deflection is acceptable $($no need to check$),$ concrete cover is $25$ mm$,$ characteristic strength fcu is $30$ MPa, steel yield strength, fy is $450$ MPa, $16$ mm is used for main reinforcement, and $10$ 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$)$