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The specific gravity and in-situ void ratio of soil deposit are 2.67 and 0.8 respectively. The value of critical hydraulic gradient is:
  • a)
    0.82
  • b)
    0.85
  • c)
    0.93
  • d)
    0.95
Correct answer is option 'C'. Can you explain this answer?
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Understanding Specific Gravity and Void Ratio
The specific gravity of soil (G) and the in-situ void ratio (e) are crucial parameters in geotechnical engineering. Here, the specific gravity is given as 2.67, and the void ratio is 0.8.
Critical Hydraulic Gradient Concept
The critical hydraulic gradient (i_c) is the gradient at which soil begins to experience soil liquefaction or piping. It can be calculated using the formula:
i_c = G - 1 / (1 + e)
Where:
- G = Specific gravity of soil
- e = Void ratio
Calculation Steps
1. Insert Values: Plugging in the given values:
- G = 2.67
- e = 0.8
2. Apply the Formula:
- i_c = (2.67 - 1) / (1 + 0.8)
- i_c = 1.67 / 1.8
3. Final Calculation:
- i_c = 0.9277, which rounds to approximately 0.93.
Conclusion
The critical hydraulic gradient for the provided soil deposit is approximately 0.93, which correlates with option 'C'. This value indicates the threshold at which soil may lose its stability under hydraulic forces, essential for safe design and construction in civil engineering. Understanding this gradient helps in preventing failures in structures built on or within soil deposits.
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The specific gravity and in-situ voidratio of soil deposit are 2.67 and0.8 respectively. The value ofcritical hydraulic gradient is:a)0.82b)0.85c)0.93d)0.95Correct answer is option 'C'. Can you explain this answer?
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