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When the degree of consolidation is 50% the time factor is about
- a)0.2
- b)0.5
- c)1.0
- d)2.0
Correct answer is option 'A'. Can you explain this answer?
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Degree of Consolidation and Time Factor
Degree of Consolidation:
- The degree of consolidation is a measure of the amount of settlement that has occurred in a soil mass due to the application of a load.
- It is defined as the ratio of the actual settlement to the maximum possible settlement.
Time Factor:
- The time factor is a dimensionless parameter that represents the rate at which consolidation occurs.
- It is defined as the ratio of the time taken for a given degree of consolidation to occur to the time required for complete consolidation to occur.
Calculation of Time Factor:
- The time factor can be calculated using the following equation:
t50/tc = 0.2 (log10(γt/γi))
- Where t50 is the time required for 50% consolidation to occur, tc is the time required for complete consolidation to occur, γt is the total unit weight of the soil, and γi is the initial unit weight of the soil.
- In the above equation, the value of 0.2 is a constant that depends on the soil type and the boundary conditions.
Answer:
- When the degree of consolidation is 50%, the value of t50/tc is 0.5.
- Using the above equation and substituting t50/tc = 0.5, the value of the time factor is calculated to be 0.2.
- Therefore, the correct answer is option 'A'.
Degree of Consolidation:
- The degree of consolidation is a measure of the amount of settlement that has occurred in a soil mass due to the application of a load.
- It is defined as the ratio of the actual settlement to the maximum possible settlement.
Time Factor:
- The time factor is a dimensionless parameter that represents the rate at which consolidation occurs.
- It is defined as the ratio of the time taken for a given degree of consolidation to occur to the time required for complete consolidation to occur.
Calculation of Time Factor:
- The time factor can be calculated using the following equation:
t50/tc = 0.2 (log10(γt/γi))
- Where t50 is the time required for 50% consolidation to occur, tc is the time required for complete consolidation to occur, γt is the total unit weight of the soil, and γi is the initial unit weight of the soil.
- In the above equation, the value of 0.2 is a constant that depends on the soil type and the boundary conditions.
Answer:
- When the degree of consolidation is 50%, the value of t50/tc is 0.5.
- Using the above equation and substituting t50/tc = 0.5, the value of the time factor is calculated to be 0.2.
- Therefore, the correct answer is option 'A'.
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When the degree of consolidation is 50% the time factor is abouta)0.2b)0.5c)1.0d)2.0Correct answer is option 'A'. Can you explain this answer?
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