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Question

# A water tank is to be constructed on the soil deposit shown in the figure below. A circular footing of diameter 3 m and depth of embankment 1 m has been designed to support the tank. The total vertical load to be taken by the footing is 1500 kN. Assume the unit weight of water as 10kN/m3 and the load dispersion pattern as 2V:1H. The expected settlement of the tank due to primary consolidation of the clay layer in _____ mm. 53.236

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Solution

## The correct option is A 53.236 Given: γsat=18 kN/m3 Cc=0.3 eo=0.7 Cv=0.004 cm3/s ΔH=CcH01+e0log10(¯¯¯σ0+¯¯¯¯¯¯¯¯Δσ¯¯¯σ0) H0 = thickness of clay layer = 10 m. ¯¯¯σ0 = effective stress before application of load at the centre of clay layer. ¯¯¯σ0 = (15 × 2) + (18 - 10) × 6 + (18 - 10) × 5 =118kN/m2 ¯¯¯¯¯¯¯¯Δσ = increase in effective stress due to the structural weight at the centre of clay layer. ¯¯¯¯¯¯¯¯Δσ = 1500π4×(3+12)2=8.488kN/m2 ⇒ΔH=0.3×101+0.7log10(118+8.488118) = 0.053236 m = 53.236 mm

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