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Terzaghi Soil Primary Consolidation Settlement Calculator

Karl Terzaghi 1D consolidation theory evaluates the gradual volumetric dissipation of excess pore water pressure in saturated clay soils under foundation loading.

Calculated Result
168.2 mm

Primary Consolidation Settlement

Settlement in Meters

0.168 m

Initial Void Ratio e0

0.850

Final Void Ratio ef

0.772

Stress Increase Ratio

1.75x

Calculation Breakdown

  1. σ'_final / σ'_0(80 + 60) / 80 = 1.75
  2. S_c = [C_c · H_0 / (1 + e_0)] · log₁₀(σ'_f / σ'_0)168.2 mm

What Is the Terzaghi Soil Primary Consolidation Settlement Calculator?

Karl Terzaghi 1D consolidation theory evaluates the gradual volumetric dissipation of excess pore water pressure in saturated clay soils under foundation loading.

This calculator derives primary consolidation settlement S_c in millimeters and final void ratio e_f based on virgin compression index C_c and stress increase.

How Does the Terzaghi Soil Primary Consolidation Settlement Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Terzaghi Soil Primary Consolidation Settlement Calculator Formula & Variables

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

S_c = [ (C_c · H_0) / (1 + e_0) ] · log₁₀[ (σ_0' + Δσ') / σ_0' ], Δe = C_c · log₁₀[ (σ_0' + Δσ') / σ_0' ]

Terzaghi one-dimensional consolidation formula for normally consolidated clay strata.

How to Use the Terzaghi Soil Primary Consolidation Settlement Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

4-meter normally consolidated clay layer under 60 kPa foundation stress increase from 80 kPa initial overburden

Input Values:

initialClayLayerThicknessM:4
initialVoidRatioE0:0.85
compressionIndexCc:0.32
initialEffectiveVerticalStressKpa:80
increaseInVerticalStressKpa:60
Worked Steps: Predicts total primary settlement Sc = 168.1 mm with void ratio reducing from 0.85 to 0.772.

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Geotechnical Engineering
  • Foundation Design
  • Soil Mechanics

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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