Section 4: Soil and Water Conservation Engineering
Soil Mechanics
Subtopic: Engineering properties of soils
Question Statement:
The specific gravity and void ratio of a soil sample are $G$ and $e$ respectively. The critical hydraulic gradient $i_{cr}$ is:
Options:
(A) \frac{G - 1}{1 + e}
(B) \frac{G + 1}{1 + e}
(C) \frac{G - 1}{1 - e}
(D) \frac{1 + e}{G - 1}
Official Answer Key:
A
Step-by-Step Solution & Explanation
This refers to the critical hydraulic gradient for quick/boiling condition: i_cr = (G_s−1)/(1+e), derived by equating the upward seepage force to the submerged unit weight of soil (γ′ = γ_w(G−1)/(1+e), and i_cr = γ′/γ_w). Answer: (G−1)/(1+e).
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