A clay layer 10 m thick in the field takes 400 days to attain 50% cons...
The time required for any degree of consolidation can be obtained from Taylor's formula as
Where C
v = Coefficient of consolidation ( it is constant for the same type of soil)
T
v = Time factor ( it is also constant for the same degree of consolidation)
d = length of the drainage path
The time required for consolidation is directly proportional to the square of the length of the drainage path.
Given data and Calculation-
The field takes 400 days to attain 50% consolidation with the condition of double drainage.
The thickness of the clay layer = 10 m
For double drainage = d = 5 m
For single drainage = d = 10 m
From (1)
t = 1600 days
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A clay layer 10 m thick in the field takes 400 days to attain 50% cons...
Given Data:
- Clay layer thickness = 10 m
- Time taken for 50% consolidation with double drainage = 400 days
Explanation:
Consolidation process:
- Consolidation is the process by which soil decreases in volume due to the expulsion of water when loads are applied to it.
- The time taken for consolidation depends on factors such as soil type, layer thickness, drainage conditions, etc.
Effect of underlying hard rock:
- When a clay layer is underlain by a hard rock, the drainage conditions change.
- The presence of a hard rock layer restricts the drainage of water from the clay layer, leading to slower consolidation.
Calculation:
- The time taken for 50% consolidation with double drainage in the given scenario is 400 days.
- When the clay layer is underlain by a hard rock, the time taken for consolidation increases.
- The time taken for 50% consolidation in this case is calculated by multiplying the original time by a factor of 4 (as per Terzaghi's theory).
- Therefore, the time taken for 50% consolidation with an underlying hard rock is 4 * 400 = 1600 days.
Therefore, the correct answer is option C) 1600 days.