A $250-$kip column load is to be supported on a $9-$ ft square footing embeded $2$ ft below the ground surface. The underlying soil is a silty sand with an average $N_{60}$ of $32$ and a unit weight of $129l\frac{b}{f}{t}^3.$ The g$.$w$.$t$.$ is at a depth of $35$ ft $.$ Estimate the undrained settlement of the footing using the generalized elastic method $($Janbu$\text{'}$s method$)$ with Christian and Carrier's $(1978)$ influence factors.