Q4. A rigid strip footing is constructed on a layered soil deposit, as shown in the...

Q4. A rigid strip footing is constructed on a layered soil deposit, as shown in the figure.

Before construction of the footing, laboratory tests on a saturated clay sample, taken at a depth of 6 m below the ground surface, gave the following results:

Compression index: C_c = 0.3,
Recompression index: C_r = 0.08
Over consolidation ratio: OCR = 1.5
Water content: w = 25%
Specific gravity: G_s = 2.65

Saturated unit weight of clay: g_sat = 19.5 kN/m³

Calculate the settlement of the footing due to deformation of the sand layer only. Sand properties are as follows:

Total unit weight: g_t = 18 kN/m³
Young’s modulus: E_s = 30 MPa
Poisson’s ratio: n = 0.25

Based on the elastic theory (Boussinesq’s equation), calculate the change in vertical stress at point A long time after applying the surcharge load.
Using the theory of 1-D consolidation, calculate the total settlement of this rigid footing due to consolidation of the clay layer only, long time after applying the total load.

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Ally Wells answered 1 month ago

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