A warehouse type structure is being proposed where the live floor load is projected to be $175$ pst and exterior wall loads will be $12$kip$/$ft; the interior floor slab will not be connected to or supported by the exterior wall foundations and no interior columns are anticipated. Exterior walls are proposed to be supported on a pony wall and strip footing. The footing will be $36"$ wide and ${14}^{\text{'}\text{'}}$ thick with the bottom of the footing located at a depth of $54$ "below the natural grade. The pony wall will be $60"$ tall and $10"$ wide.

At the proposed location, a consolidation sample was obtained from a layer of clay observed between $12$ ft and $24$ ft of depth. The sample was taken at a depth of $17$ ft $.$ Groundwater was observed at a depth of $9$ ft and soil above the clay layer is classified as SM$.$

$30$ pts Using the consolidation parameters determined for the CL clay, estimate the total settlement of the wall foundation due to compression of the underlying clay layer.

Use four equal layers of $3\text{'}$ to make your determination and assume that the floor slab will be $10"$ thick. You can further assume that the stiff SM soil does not contribute to the long term settlement of the wall footing. The warehouse dimensions are ${45}^{\text{'}}{225}^{\text{'}},$ assume that the end wall $({45}^{\text{'}}$ sides$)$ loads are much less than the long wall loads. The finished floor grade is $8^{\text{'}\text{'}}$ above the natural existing surface.