Consolidation settlement calculator

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Result

Settlement133.2 mm

Step-by-step solution

Normally consolidated clay

S = Cc·H/(1 + e₀)·log₁₀((σ′₀ + Δσ)/σ′₀)
S = 0.3·4/1.9·log₁₀(130/80) = 133.2 mm

Key formulas

Normally consolidated
S = Cc·H/(1 + e0)·log₁₀(σ′f/σ′0)
Final stress
σ′f = σ′0 + Δσ (at mid-depth of the layer)
Overconsolidated, σ′f ≤ σ′p
S = Cr·H/(1 + e0)·log₁₀(σ′f/σ′0)
Overconsolidated, σ′f > σ′p
S = H/(1 + e0)·[Cr·log₁₀(σ′p/σ′0) + Cc·log₁₀(σ′f/σ′p)]
Overconsolidation ratio
OCR = σ′p/σ′0
Time for consolidation
t = Tv·Hdr²/cv
Drainage path
Hdr = H/2 (double drainage), H (single drainage)
Time factors
U 50% → 0.197, 60% → 0.287, 70% → 0.403, 80% → 0.567, 90% → 0.848

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