Question $1$

Figure $1$ shows a rectangular reinforced concrete $($RC$)$ slab which is supported on all

four sides by $300480mmRC$ beams. The beams are supported on $300300RC$

columns which transfer the loads to concrete bases. All structural elements are cast

monolithic. The slab dimensions are as follows: $L_x=L_1(m)$ and $L_y=L_{2}m($see Figure

$1$ below$).$ The slab is $170mm$ thick and forms part of a new office development. All

beams are $300480mm$ deep.

Specifications

Loading: Assume the told ultimate load on the slab is $Wk\frac{N}{m^2}($including self$-$

weight$)$

Design specifications: $f_{cu}=30$MPa,$f_y=f_{yv}=450$MPa

$1\mathrm{.}1$ Design the slap reinforcement for flexure $($bending$)$

$1\mathrm{.}2$ Check the adequacy of the slab against maximum shear.

$1\mathrm{.}3$ Perform a deflection check and comment on your result.

$Wk\frac{N}{m^2}=8$

Figure $1$