A building foundation 3 m by 3 m will impose 1,500 kN total loading onto the surface of a thick stratum of normally consolidated (beneath center) clay soil. Determine the foundation settlement due to...

A building foundation 3 m by 3 m will impose 1,500 kN total loading onto the surface of a thick stratum of normally consolidated (beneath center) clay soil. Determine the foundation settlement due to primary compression in the clay, using layers that are 1 m, 1 m, 2 m, and 2 m thick, respectively, from foundation level downward. For simplification, use a soil unit weight of 17.5 kN/m³
constant with depth, an in-place void ratio of 1.20, and a compression index equal to 0.38 for each layer. Assume Boussinesq conditions apply.