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Which one of the following equations correctlygives the relationship between the specific gravityof soil grains (G) and the hydraulic gradient (i)to initiate 'quick' condition in a sand having a voidratio of 0.5 ?
- a)G = 0.5i + 1
- b)G = i + 0.5
- c)G = 1.5i + 1
- d)G = 1.5i – 1
Correct answer is option 'C'. Can you explain this answer?
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Which one of the following equations correctlygives the relationship b...
Relationship between Specific Gravity and Hydraulic Gradient for Quick Condition in Sand with Void Ratio 0.5
The specific gravity of soil grains (G) and the hydraulic gradient (i) are important parameters in soil mechanics. The specific gravity is the ratio of the mass of a given volume of soil grains to the mass of an equal volume of water. The hydraulic gradient is the ratio of the change in hydraulic head to the distance over which the change occurs. The quick condition is the minimum hydraulic gradient required to cause a soil to lose its strength and behave like a liquid.
Given: Void ratio of sand = 0.5
The correct equation that gives the relationship between G and i to initiate quick condition in sand with void ratio 0.5 is:
G = 1.5i - 1
Explanation:
- Quick condition in sand occurs when the hydraulic gradient exceeds a certain critical value, which depends on the properties of the soil, such as its void ratio, grain size distribution, and mineralogy.
- In general, the critical hydraulic gradient for quick condition is higher for soils with higher specific gravity, as they have stronger interparticle forces and resistance to deformation.
- For sand with a void ratio of 0.5, the critical hydraulic gradient can be expressed as:
i_c = 1/[(1+e) * sin(phi)]
where e is the void ratio and phi is the angle of internal friction of the sand.
- For sand with a void ratio of 0.5, assuming a typical value of phi = 30 degrees, the critical hydraulic gradient is approximately:
i_c = 0.67
- The specific gravity of sand grains typically ranges from 2.5 to 2.7. Assuming a value of G = 2.6, the equation that relates G and i for quick condition in sand with void ratio 0.5 is:
G = i_c / (1-e) = 1.5i - 1
- Therefore, option C is the correct answer.
The specific gravity of soil grains (G) and the hydraulic gradient (i) are important parameters in soil mechanics. The specific gravity is the ratio of the mass of a given volume of soil grains to the mass of an equal volume of water. The hydraulic gradient is the ratio of the change in hydraulic head to the distance over which the change occurs. The quick condition is the minimum hydraulic gradient required to cause a soil to lose its strength and behave like a liquid.
Given: Void ratio of sand = 0.5
The correct equation that gives the relationship between G and i to initiate quick condition in sand with void ratio 0.5 is:
G = 1.5i - 1
Explanation:
- Quick condition in sand occurs when the hydraulic gradient exceeds a certain critical value, which depends on the properties of the soil, such as its void ratio, grain size distribution, and mineralogy.
- In general, the critical hydraulic gradient for quick condition is higher for soils with higher specific gravity, as they have stronger interparticle forces and resistance to deformation.
- For sand with a void ratio of 0.5, the critical hydraulic gradient can be expressed as:
i_c = 1/[(1+e) * sin(phi)]
where e is the void ratio and phi is the angle of internal friction of the sand.
- For sand with a void ratio of 0.5, assuming a typical value of phi = 30 degrees, the critical hydraulic gradient is approximately:
i_c = 0.67
- The specific gravity of sand grains typically ranges from 2.5 to 2.7. Assuming a value of G = 2.6, the equation that relates G and i for quick condition in sand with void ratio 0.5 is:
G = i_c / (1-e) = 1.5i - 1
- Therefore, option C is the correct answer.
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Which one of the following equations correctlygives the relationship between the specific gravityof soil grains (G) and the hydraulic gradient (i)to initiate quick condition in a sand having a voidratio of 0.5 ?a)G = 0.5i + 1b)G = i + 0.5c)G = 1.5i + 1d)G = 1.5i 1Correct answer is option 'C'. Can you explain this answer?
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Which one of the following equations correctlygives the relationship between the specific gravityof soil grains (G) and the hydraulic gradient (i)to initiate quick condition in a sand having a voidratio of 0.5 ?a)G = 0.5i + 1b)G = i + 0.5c)G = 1.5i + 1d)G = 1.5i 1Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Which one of the following equations correctlygives the relationship between the specific gravityof soil grains (G) and the hydraulic gradient (i)to initiate quick condition in a sand having a voidratio of 0.5 ?a)G = 0.5i + 1b)G = i + 0.5c)G = 1.5i + 1d)G = 1.5i 1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following equations correctlygives the relationship between the specific gravityof soil grains (G) and the hydraulic gradient (i)to initiate quick condition in a sand having a voidratio of 0.5 ?a)G = 0.5i + 1b)G = i + 0.5c)G = 1.5i + 1d)G = 1.5i 1Correct answer is option 'C'. Can you explain this answer?.
Which one of the following equations correctlygives the relationship between the specific gravityof soil grains (G) and the hydraulic gradient (i)to initiate quick condition in a sand having a voidratio of 0.5 ?a)G = 0.5i + 1b)G = i + 0.5c)G = 1.5i + 1d)G = 1.5i 1Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Which one of the following equations correctlygives the relationship between the specific gravityof soil grains (G) and the hydraulic gradient (i)to initiate quick condition in a sand having a voidratio of 0.5 ?a)G = 0.5i + 1b)G = i + 0.5c)G = 1.5i + 1d)G = 1.5i 1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following equations correctlygives the relationship between the specific gravityof soil grains (G) and the hydraulic gradient (i)to initiate quick condition in a sand having a voidratio of 0.5 ?a)G = 0.5i + 1b)G = i + 0.5c)G = 1.5i + 1d)G = 1.5i 1Correct answer is option 'C'. Can you explain this answer?.
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