Consolidation Settlement of Clay

Mediumconsolidationsettlement
A normally consolidated clay layer has compression index Cc = 0.30, initial thickness H = 4 m, and initial void ratio e0 = 0.8. Its representative vertical effective stress increases from 100 to 200 kPa. What is the primary consolidation settlement using the one-dimensional log10 formula?
  1. A0.020 m
  2. B0.100 m
  3. C0.201 m
  4. D0.667 m
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Answer: C. 0.201 m

S = [Cc H/(1 + e₀)] log₁₀(σ′final/σ′₀) = [(0.30)(4)/1.8] log₁₀(200/100) = (0.6667)(0.3010) = 0.2007 m ≈ 0.201 m. Use base-10 logarithms with Cc.
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