Determine the elastic settlement of the soil layer from z = 0 to 5B, using the Mayne and Poulos method.

Elastic settlement problem. As shown in Figure 3.27, a square spread footing is designed to support a column. The load on the column, including the foundation weight, is 600 kN. The dimensions of the foundation are B × B = 1.2 m × 1.2 m, and the foundation embedment depth is Df = 0.6m. The subsoil is heterogeneous silty sand with bulk unit weight of 18 kN/m³. The soil’s Poisson’s ratio is 0.5. The soil’s elastic modulus increases linearly with depth: Es = 10,000 (kN/m²)+ 40 (kN/m²/m) × z, and z starts from the bottom of the foundation.The thickness of the foundation slab is 0.3m, the elastic modulus of the foundation is 1.2 × 107 kN/m². Determine the elastic settlement of the soil layer from z = 0 to 5B, using the Mayne and Poulos method.

 

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