Question$-1$

A continuous $3$ span one way slab is supported on four beams as shown in Figure $1.$ All the beams are $500mm$ wide. The edge beams do not provide any significant rotational restraint to the slab.

$($a$)$ Using the simplified approach as included in AS$3600,$ determine the span and support design moments for the first two spans and corresponding reinforcement.

$($b$)$ Using the simplified approach as included in AS$3600,$ determine the design shear forces for the first two spans $($NB$.$ The third span is the same as the first$).$

$($c$)$ Determine the required shear reinforcement in the primary direction for the first two spans using N$12$ bars. Assume that the cross$-$sectional area of longitudinal reinforcement provided in the tensile zone is:

$A_{st}=500m\frac{m^2}{m}$

Design Data

$f^{\text{'}}c=32$MPa&$E_c=30,100$MPa

$f_{sy}=500$MPa

Permanent dead load G $=1\mathrm{.}0$kPa$+$ self$-$weight

Imposed live load Q $=3\mathrm{.}0$ kPa

Concrete density $=24k\frac{N}{m^3}$

Cover $=25mm$

Slab thickness $=200mm$

Figure $1$