Problem $02$: An office building is to be built over $10$ ft of sandy soils overlaying a $10$ ft of clayey layer. The engineer is worried about the settlement of the clayey layer as the maximum allowable settlement is $1$ inch for this project. The structure has a square cross$-$sectional area at the base. The estimated total pressure from the structure is $2,000$ psf$.$ The water table is at the center of the sand layer.

a$.$ Calculate the initial effective stress at a point in the center of the clay layer

b$.$ Calculate the induced, effective stress due to the structure at the center of the clay layer $($use the $2$:$1$ method!$)$

c$.$ Determine if the clay is normally consolidated or over consolidated

d$.$ Calculate the expected settlement due to the new loading

e$.$ Does the settlement meet the specifications of the project?