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One-Dimensional Consolidation Settlement Calculator

Consolidation settlement occurs in saturated fine-grained soils as pore water gradually expels under external foundation loads.

Total thickness of compressible clay stratum.

In-situ initial void ratio from oedometer test.

Slope of virgin compression line on e-log(σ') plot.

Pre-existing effective overburden pressure at mid-depth.

Vertical stress increase from foundation loading at mid-depth.

Maximum past effective stress (equal to σ₀' for normally consolidated clay).

Slope of recompression/swelling curve (typically 10-20% of Cc).

Calculated Result
136.96 mm

Primary Consolidation Settlement (S_c)

Result Summary

Primary consolidation settlement: 136.96 mm (0.1370 m). Stress state: Normally Consolidated (NC) (OCR = 1.00).

Calculation Breakdown

  1. Step 1: Stress & OCR Stateσ₀' = 100 kPa, σ_final' = 150.0 kPa, OCR = 1.00
  2. Step 2: Settlement ComputationSc = [Cc·H₀ / (1 + e₀)] · log₁₀(σ_f' / σ₀') = 136.96 mm

What Is the One-Dimensional Consolidation Settlement Calculator?

Consolidation settlement represents the time-dependent volume reduction of saturated clay soils caused by drainage of pore water.

How Does the One-Dimensional Consolidation Settlement Calculator Work?

Compares total final effective stress to preconsolidation stress to classify OCR status.

Integrates volumetric strains along virgin compression and recompression curves.

One-Dimensional Consolidation Settlement Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Sc = [Cc·H₀ / (1 + e₀)] · log₁₀((σ₀' + Δσ') / σ₀')

Terzaghi 1D primary consolidation settlement equation for normally consolidated clay.

How to Use the One-Dimensional Consolidation Settlement Calculator

  1. Input clay thickness H₀ and oedometer indices (e₀, Cc, Cr).
  2. Provide initial and induced foundation effective stresses at stratum mid-depth.

Step-by-Step Example Calculation

Normally Consolidated Clay Layer

Input Values:

clayThickness:4
voidRatio:0.8
compressionIndex:0.35
initialStress:100
stressIncrease:50
preconsolidationStress:100
recompressionIndex:0.05
Worked Steps: Normally consolidated 4m clay layer subjected to 50 kPa foundation stress increment.

Understanding Your Result

Primary result indicates total primary consolidation settlement in millimeters.

Summary displays consolidation state (NC vs OC) and OCR ratio.

Factors That Affect the Result

  • Compression index Cc.
  • Overconsolidation ratio (OCR).

When Should You Use This Calculator?

  • Foundation design on soft clay formations, embankments, and reclaimed land.

Assumptions & Limitations

  • Assumes one-dimensional vertical strain and vertical pore water flow.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard Terzaghi 1D consolidation theory.

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