GATE CE 2017 Set 2 — Question 4
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Geotechnical Engineering → Effective Stress & Compaction → Compaction of Soils
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Question
Let be the specific gravity of soil solids, the water content in the soil sample, the unit weight of water, and the dry unit weight of the soil. The equation for the zero air voids line in a compaction test plot is
Correct answer
(A) γ_d = (G γ_w)/(1 + Gw)
Solution
The zero air voids line represents the state where the soil is fully saturated, meaning the degree of saturation . The general relationship for dry unit weight () is:From the phase relationship , for , we have .Substituting into the dry unit weight formula gives the equation for the zero air voids line:This matches option (A).
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