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If the time required for 60% consolidation of a remoulded soil sample of clay with simple drainage is t, then what is the time required to consolidation the same sample of clay with the same degree of consolidation but with double drainage?
- a)4t
- b)2t
- c)t/2
- d)t/4
Correct answer is option 'B'. Can you explain this answer?
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Solution:
Given, time required for 60% consolidation of a remoulded soil sample of clay with simple drainage is t.
Let's assume the thickness of the soil sample be h.
The coefficient of consolidation (Cv) for the soil sample can be calculated using the following formula:
Cv = h^2 / (4.6t)
Given, the degree of consolidation is 60%. Therefore, the settlement of the soil sample can be calculated using the following formula:
S = 0.6h
Now, we need to find the time required to consolidate the same sample of clay with the same degree of consolidation but with double drainage.
Double drainage means that the drainage path of the soil sample is doubled. Therefore, the coefficient of consolidation for the same soil sample with double drainage can be calculated using the formula:
Cv' = Cv/2
Now, substituting the value of Cv' in the settlement equation, we get:
S = (Cv' * t') / h^2
where t' is the time required for 60% consolidation with double drainage.
Substituting the value of Cv' in the above equation, we get:
0.6h = [(Cv/2) * t'] / h^2
Simplifying the above equation, we get:
t' = 2t
Therefore, the time required to consolidate the same sample of clay with the same degree of consolidation but with double drainage is 2t. Hence, option (B) is the correct answer.
Given, time required for 60% consolidation of a remoulded soil sample of clay with simple drainage is t.
Let's assume the thickness of the soil sample be h.
The coefficient of consolidation (Cv) for the soil sample can be calculated using the following formula:
Cv = h^2 / (4.6t)
Given, the degree of consolidation is 60%. Therefore, the settlement of the soil sample can be calculated using the following formula:
S = 0.6h
Now, we need to find the time required to consolidate the same sample of clay with the same degree of consolidation but with double drainage.
Double drainage means that the drainage path of the soil sample is doubled. Therefore, the coefficient of consolidation for the same soil sample with double drainage can be calculated using the formula:
Cv' = Cv/2
Now, substituting the value of Cv' in the settlement equation, we get:
S = (Cv' * t') / h^2
where t' is the time required for 60% consolidation with double drainage.
Substituting the value of Cv' in the above equation, we get:
0.6h = [(Cv/2) * t'] / h^2
Simplifying the above equation, we get:
t' = 2t
Therefore, the time required to consolidate the same sample of clay with the same degree of consolidation but with double drainage is 2t. Hence, option (B) is the correct answer.
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If the time required for 60% consolidation of a remoulded soil sample of clay with simple drainage is t, then what is the time required to consolidation the same sample of clay with the same degree of consolidation but with double drainage?a)4tb)2tc)t/2d)t/4Correct answer is option 'B'. Can you explain this answer?
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