Question

The decrease in volume is given by the equation ___________

(a) ∆v=-V0 ∆σ’

(b) ∆v=-av V0 ∆σ’

(c) ∆v=-mv ∆σ’

(d) ∆v=-mv V0 ∆σ’

The question was asked by my college director while I was bunking the class.

Enquiry is from Terzaghi’s Theory of One Dimensional Consolidation in division One Dimensional Consolidation of Geotechnical Engineering I

Answer 1

Correct answer is (d) ∆v=-mv V0 ∆σ’

To explain: The decrease in the volume of the soil is equal to the volume of water squeeze out. Thus, the decrease in volume is given by the equation,

\(\)∆v=-mv V0 ∆σ’ where the negative sign indicates the decrease in volume.