GATE CE 2025 Set 2 — Question 32
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Geotechnical Engineering → Consolidation → Coefficient of Consolidation
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Question
A 6 m thick clay stratum has drainage at both its top and bottom surface due to the presence of sand strata. The time to complete 50% consolidation is 2 years. The coefficient of volume change () is and unit weight of water is .The coefficient of permeability (in m/year) is ______ (round off to three decimal places).
Correct answer
0.01 to 0.015
Solution
Given:
Thickness of clay stratum,
Drainage condition: Double drainage (top and bottom sand strata)
Drainage path,
Time for 50% consolidation,
Coefficient of volume change,
Unit weight of water, Step 1: Calculate the time factor () for
Step 2: Calculate the coefficient of consolidation ()
Step 3: Calculate the coefficient of permeability ()
Rounding off to three decimal places, .
Thickness of clay stratum,
Drainage condition: Double drainage (top and bottom sand strata)
Drainage path,
Time for 50% consolidation,
Coefficient of volume change,
Unit weight of water, Step 1: Calculate the time factor () for
Step 2: Calculate the coefficient of consolidation ()
Step 3: Calculate the coefficient of permeability ()
Rounding off to three decimal places, .
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