A $250-$k column load is to be supported on a $9$ ft square footing embedded $2$ ft below the ground surface. The underlying soil is a silty sand with an average N$60$ of $32$ and a unit weight of $129$ lb$/$ft$3.$ The groundwater table is at a depth of $35$ ft$.$ Estimate the undrained settlement of the footing using the generalized elastic method with Christian and Carrier$$s $(1978)$ influence factors.