The soil profile at a site consists of a 2.0 m thick sand layer at the top, underlain by a 3.0 m thick clay layer. The water table lies at a depth of 1.0 m below the ground level. The bulk and saturated unit weights of the sand are 16.0 kN/m³ and 19.0 kN/m³, respectively. The properties of the clay are: water content 5 45.0%, specific gravity of the soil grains = 2.70, compression index = 0.65, swelling index = 0.08, and overconsolidation ratio = 1.5.

a. The ground level is raised by placing a 1.5 m high compacted fill with unit weight of 20.0 kN/m³. What is the consolidation settlement?

b. When the consolidation due to the fill is completed, it is proposed to construct a warehouse imposing a uniform pressure of 40.0 kN/m². What would be the consolidation settlement due to the construction of the warehouse?