A $3m3m$ square concrete footing is given in the figure.

Given:

$D=2m$ and $P=5000kN$ as shown

$Y_{\text{s}\text{o}\text{i}\text{l}}=20k\frac{N}{m^3},c^{\text{'}}=15$kPa,${}^{\text{'}}=30$

The groundwater table is at $15$ meters below the ground surface.

Use the average unit weight of soil and concrete to calculate the weight of the footing. $(Y_{\text{c}\text{o}\text{n}\text{c}\text{r}\text{e}\text{t}\text{e}}=24k\frac{N}{m^3}).$

$1.$a $(15$P$)$ Calculate qult with Vesic's formula.

$1.$b $(15$P$)$ Calculate qoll for FS $($factor of safety$)=2$ and check whether the footing is safe against a bearing capacity failure for FS $=2.$