Question $2$

A square footing is founded at a depth of $1\mathrm{.}5$ m in a sand with the water table also at $1\mathrm{.}5$ m $.$ A load of $150$ kN acts at an inclination of $10$ to the vertical, halfway between the centre of the footing and one of the corners. The following soil properties are given: $c^{\text{'}}=0$kPa,$c_u=80$kPa,${}^{\text{'}}=35$bulk $=17k\frac{N}{m^3}$ and $,{}_{\text{s}\text{a}\text{t}}=20k\frac{N}{m^3}$

$2\mathrm{.}1$ Formulate $q_f$ in terms of FoS.

$2\mathrm{.}3$ Calculate the width of the foundation for drained conditions if the factor of safety of $3$ is required for the design.

Hint: For this question, you should use the $i_q$ and $i_{}$ as multipliers on the bearing capacity equation $($the formulas are on the formula sheet provided during discussion sessions$).$