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GATE 2024 MN – Question 31

Geomechanics and Ground Control · Geomechanics · 1 mark · Numerical answer

A 1000 m³ unconsolidated soil heap has void ratio 1.0. It consolidates to 800 m³ with unchanged solids. Find final void ratio to two decimals.

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Correct answer: 0.60 to 0.60

Explanation

Initially V=Vs(1+e), so solids volume is 1000/2=500 m³. After consolidation, the void volume is 800−500=300 m³. Final e=Vv/Vs=300/500=0.60. Void ratio uses solids volume as denominator, not total volume.

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