A warehouse $40$ by $100$ ft in plan is to be constructed on the soil profile as shown in Figure $5.$ The

structure will be supported by a mat foundation which is assumed to distribute the building loads

uniformly to the surface soil. Determine the maximum differential settlement due to the

consolidation of the homogeneous clay layer. The clay soil has the following characteristics:

Normally Consolidated

Initial Void Ratio $=0\mathrm{.}78$

Compression Index $=0\mathrm{.}45$

Hard till

Figure $5$