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Clay layer a with single drainage and coefficient of consolidation Cv takes 6 months to achieve 50% Consolidation. the time taken by clay layer B of the same thickness with Double drainage and coefficient of consolidation Cv/2 to achieve the same degree of consolidation is?.?
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Clay layer a with single drainage and coefficient of consolidation Cv ...
Calculation of Time for Consolidation of Clay Layer B
Given:
Concept:
The time taken for a clay layer to achieve a certain degree of consolidation depends on the coefficient of consolidation (Cv), drainage conditions, and thickness of the layer. The time taken for consolidation can be calculated using the following formula:
T = (0.307H^2)/Cv log ((So + Cv*t)/So)
Where,
T = Time taken for consolidation
H = Thickness of clay layer
Cv = Coefficient of consolidation
So = Initial degree of consolidation (usually taken as 0)
t = Time taken for consolidation to reach a certain degree
Solution:
Given:
- Thickness of clay layer A and B = Same
- Coefficient of consolidation of layer A (Cv) = Cv
- Coefficient of consolidation of layer B (Cv/2) = Cv/2
- Time taken by layer A to achieve 50% consolidation = 6 months
Concept:
The time taken for a clay layer to achieve a certain degree of consolidation depends on the coefficient of consolidation (Cv), drainage conditions, and thickness of the layer. The time taken for consolidation can be calculated using the following formula:
T = (0.307H^2)/Cv log ((So + Cv*t)/So)
Where,
T = Time taken for consolidation
H = Thickness of clay layer
Cv = Coefficient of consolidation
So = Initial degree of consolidation (usually taken as 0)
t = Time taken for consolidation to reach a certain degree
Solution:
- For clay layer A, time taken to achieve 50% consolidation = 6 months
- Using the above formula, we get:
- T = (0.307H^2)/Cv log ((So + Cv*t)/So)
- 0.5 = (0.307H^2)/Cv log ((0 + Cv*6)/0)
- log ((Cv*6)/0) = (0.307H^2)/Cv*0.5
- log (infinity) = (0.614H^2)/Cv
- Hence, (0.614H^2)/Cv = infinity
- Therefore, H^2 = infinity
- This means that the thickness of the clay layer does not affect the time taken for consolidation. Therefore, the time taken for layer B to achieve 50% consolidation will be the same as layer A, i.e., 6 months.
- However, it is important to note that layer B has double drainage and a coefficient of consolidation of Cv/2. This means that it will achieve a higher degree of consolidation in the same amount of time compared to layer A.
Community Answer
Clay layer a with single drainage and coefficient of consolidation Cv ...
3months
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Clay layer a with single drainage and coefficient of consolidation Cv takes 6 months to achieve 50% Consolidation. the time taken by clay layer B of the same thickness with Double drainage and coefficient of consolidation Cv/2 to achieve the same degree of consolidation is?.?
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Clay layer a with single drainage and coefficient of consolidation Cv takes 6 months to achieve 50% Consolidation. the time taken by clay layer B of the same thickness with Double drainage and coefficient of consolidation Cv/2 to achieve the same degree of consolidation is?.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Clay layer a with single drainage and coefficient of consolidation Cv takes 6 months to achieve 50% Consolidation. the time taken by clay layer B of the same thickness with Double drainage and coefficient of consolidation Cv/2 to achieve the same degree of consolidation is?.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Clay layer a with single drainage and coefficient of consolidation Cv takes 6 months to achieve 50% Consolidation. the time taken by clay layer B of the same thickness with Double drainage and coefficient of consolidation Cv/2 to achieve the same degree of consolidation is?.?.
Clay layer a with single drainage and coefficient of consolidation Cv takes 6 months to achieve 50% Consolidation. the time taken by clay layer B of the same thickness with Double drainage and coefficient of consolidation Cv/2 to achieve the same degree of consolidation is?.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Clay layer a with single drainage and coefficient of consolidation Cv takes 6 months to achieve 50% Consolidation. the time taken by clay layer B of the same thickness with Double drainage and coefficient of consolidation Cv/2 to achieve the same degree of consolidation is?.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Clay layer a with single drainage and coefficient of consolidation Cv takes 6 months to achieve 50% Consolidation. the time taken by clay layer B of the same thickness with Double drainage and coefficient of consolidation Cv/2 to achieve the same degree of consolidation is?.?.
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