Question $7.$

$(10$ marks$)$ A column that carries a vertical downward load of $300kN$ is proposed to be supported on a

$2\mathrm{.}0m$ deep square footing. The soil is an overconsolidated clay and has the following properties: $$ sat $=$

$19k\frac{N}{m}3,c^{\text{'}}=20$kPa,${}^{\text{'}}=259,$ undrained cohesion, $cu=100$kPa, undrained friction angle, $u=0.$ Sub$-$

surface investigations show that the groundwater table is reasonably stable throughout the year and is

at the natural ground surface. Determine the width of the footing for the above loading conditions and

soil specifications for the short$-$term bearing capacity with a factor of safety equal to $3\mathrm{.}0$ using a suitable

method. Based on your calculations recommend appropriate dimensions for the square footing. Provide

a discussion.