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GATE CE 2020 Set 1 — Question 58

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NAT+2 / -0HardTime Rate of ConsolidationConsolidationGeotechnical EngineeringConsolidation Settlement

Geotechnical Engineering → Consolidation → Consolidation Settlement

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Question

A 10 m10\text{ m} thick clay layer is resting over a 3 m3\text{ m} thick sand layer and is submerged. A fill of 2 m2\text{ m} thick sand with unit weight of 20 kN/m320\text{ kN/m}^3 is placed above the clay layer to accelerate the rate of consolidation of the clay layer. Coefficient of consolidation of clay is 9×10−2 m2/year9 \times 10^{-2}\text{ m}^2/\text{year} and coefficient of volume compressibility of clay is 2.2×10−4 m2/kN2.2 \times 10^{-4}\text{ m}^2/\text{kN}. Assume Taylor's relation between time factor and average degree of consolidation.
Soil profile diagram showing a 2m sand fill, 10m clay layer, 3m sand layer, and impervious stratum, with water table at the top of the clay layer
The settlement (in mm, round off to two decimal places) of the clay layer, 1010 years after the construction of the fill, is ________.
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