Question

In practical cases, the final consolidation settlement is calculated by the equation ___________

(a) \(ρ_f=∫_0^H m_v Hdz\)

(b) \(ρ_f=∫_0^HH∆σ’dz\)

(c) \(ρ_f=∫_0^Hm_v H∆σ’ dz\)

(d) \(ρ_f=∫_0^Hm_v ∆σ’ dz\)

I have been asked this question in an interview.

I'm obligated to ask this question of Consolidation Process in chapter One Dimensional Consolidation of Geotechnical Engineering I

Answer 1

The correct answer is (d) \(ρ_f=∫_0^Hm_v ∆σ’ dz\)

Explanation: The consolidation settlement ∆ρf of element of thickness dz is calculated under average effective pressure increment ∆σ’. Therefore, the final settlement is the integration of the ∆ρf.

∴ \(ρ_f=∫_0^Hm_v ∆σ’ dz.\)