Consider the floor system shown in Figure $1,$ which consists of a slab supported on a number of parallel beams with cantilever extensions. The beams are spaced $4m$ apart. The main beam span is $8m$ and the cantilever is $3m.$ The slab is $150mm$ thick. The cross$-$section of the beam and cantilever is $300mm$ wide, with an overall depth of $650mm.$ The dead load consists of the self$-$weight plus $2$kPa over the floor area. The live load is $3$kPa. Note that the self$-$weight of reinforced concrete can be taken as $25k\frac{N}{m^3}.$

rigure $1$

Q$1$: Consider a single slab$-$beam$-$cantilever unit that is $4m$ wide. Calculate the loads applied on the unit system.

Q$2$: Following AS$/$NZS $1170(2002),$ determine the possible load combinations for the dead load and live load.

Q$3$: Determine the shear force and bending moment diagrams for the unit system from $A$ to $D$ and calculate the maximum shear force and the maximum bending moment.

Q$4$: Consider the live load may not exist at the same time in Sections $AC$ and $CD$ and remove the live load from Section $CD,$ recalculate the bending moments at points $B$ and $C.$

Q$5$: Compare the two cases in Q$3$ and Q$4$ and discuss what you have learned from this example.