Question: The flat plate floor system shown in the Figure below is to be used in an office building. An allowance of $0\mathrm{.}5$kPa is to be made for the partitions that are not deflectionsensitive. The imposed $($live$)$ load is $4\mathrm{.}5$kPa. To satisfy fire and durability requirements, take $f_c^{\text{'}}=40$MPa,$E_c=32,800$MPa, density of concrete is $25k\frac{N}{m^3}$ and a clear cover to the reinforcement of $25mm.$ Limit the total deflection to $\frac{}{L_o}=\frac{1}{250}$ and use Class $N$ reinforcement.

$($a$)$ Please determine the slab depth, using the "deem to comply" provisions of AS $3600$:$2018.$

$($b$)$ Design the reinforcement of the flat plate floor system in the y$-$direction and show the arrangement of the reinforcement.

Figure $1$

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