Q$3)(20\%)$

Plan of a reinforced concrete mat $($or raft$)$ foundation which has a uniform thickness of $0\mathrm{.}5m$

is shown in the figure below. Point of application of the resultant loads transmitted from the

superstructure which is $1100kN,$ excluding the weight of the mat itself is also indicated on the

figure. Considering also the weight of the mat, calculate the base pressures at points A and $B$

shown in the Figure. Use ${}_{\text{c}\text{o}\text{n}\text{c}\text{r}\text{e}\text{t}\text{e}}=24k\frac{N}{m^3}$ in your calculations.