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What is critical gradient for coarse-grained soil which has voids ratio of 0.78 and specific gravity 2.67 ?
1. 0.94
2. 0.76
3. 0.74
4. 0.84

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Correct Answer - Option 1 : 0.94

Concept:

Critical hydraulic gradient (ic): 

  • The quick condition occurs at a critical upward hydraulic gradient ic, when the seepage force just balances the buoyant weight of an element of soil.
  • The critical hydraulic gradient is typically around 1.0 for many soils.
  • At the critical conditions, the effective stress is equal to zero.

Critical hydraulic gradient,

∴ \({{\rm{i}}_{\rm{c}}} = \frac{{{\rm{G}} - 1}}{{1 + e}} \)

Calculation:

Given, 

G = 2.67

e = 0.78

Critical hydraulic gradient, \({{\rm{i}}_{\rm{c}}} = \frac{{{\rm{2.67}} - 1}}{{1 + 0.78}} = 0.94\)

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