GATE CE 2017 Set 1 — Question 22
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Geotechnical Engineering → Consolidation → Time Rate of Consolidation
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Question
A 3 m thick clay layer is subjected to an initial uniform pore pressure of 145 kPa as shown in the figure.
For the given ground conditions, the time (in days, rounded to the nearest integer) required for 90% consolidation would be ___________

Correct answer
1765 to 1775
Solution
Given:
Thickness of clay layer, m
Drainage condition: Single drainage (Sand at top, Impermeable stratum at bottom), so drainage path m = 3000 mm.
Coefficient of consolidation, mm/min
For 90% consolidation (), the time factor (given in the figure).The formula for time factor is:
Rearranging for time :
minutes.Convert time to days:
days.Rounding to the nearest integer, the time required is 1771 days.
Thickness of clay layer, m
Drainage condition: Single drainage (Sand at top, Impermeable stratum at bottom), so drainage path m = 3000 mm.
Coefficient of consolidation, mm/min
For 90% consolidation (), the time factor (given in the figure).The formula for time factor is:
Rearranging for time :
minutes.Convert time to days:
days.Rounding to the nearest integer, the time required is 1771 days.
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