Skip to main content

Terzaghi 1D Primary Consolidation Settlement (S_c) & Time-Rate (U_v) Calculator

Easily calculate and compute terzaghi 1d primary consolidation settlement (s_c) & time-rate (u_v) calculator with accurate equations, live formulas, and expert guidance.

Total initial thickness of soft clay stratum.

Void ratio before surcharge.

Slope of virgin consolidation e-log(p) line.

Initial vertical effective stress at mid-layer.

Net foundation surcharge pressure transmitted to mid-layer.

Rate parameter from oedometer test.

Drainage path boundary condition.

Time duration since load application.

Calculated Result
230.2 mm

Ultimate Settlement (S_c)

Ultimate Settlement (S_c)

230.2 mm

Ultimate Settlement Sc Mm

230.2

Settlement At Time T Mm

163.5

Degree Of Consolidation Uv Percent

71

Dimensionless Time Factor Tv

0.417

230.2 — mm

Calculation Breakdown

  1. Applied FormulaCalculates ultimate primary consolidation settlement and progressive time-rate dissipation of pore water pressure in compressible clay strata under foundation loading.S_c = \frac{C_c}{1+e_0} H \log_{10}\left(1 + \frac{\Delta\sigma}{\sigma'_0}\right), \quad U_v = \frac{2}{\sqrt{\pi}}\sqrt{T_v}

Terzaghi 1D Consolidation Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.058115173230Ultimate Settlement (S_c)

What Is the Terzaghi 1D Primary Consolidation Settlement (S_c) & Time-Rate (U_v) Calculator?

This tool computes terzaghi 1d primary consolidation settlement (s_c) & time-rate (u_v) calculator with high precision arithmetic.

How Does the Terzaghi 1D Primary Consolidation Settlement (S_c) & Time-Rate (U_v) Calculator Work?

Calculates ultimate primary consolidation settlement and progressive time-rate dissipation of pore water pressure in compressible clay strata under foundation loading.

Terzaghi 1D Primary Consolidation Settlement (S_c) & Time-Rate (U_v) Calculator Formula & Variables

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

Sc=Cc1+e0Hlog⁡10(1+Δσσ0′),Uv=2πTvS_c = \frac{C_c}{1+e_0} H \log_{10}\left(1 + \frac{\Delta\sigma}{\sigma'_0}\right), \quad U_v = \frac{2}{\sqrt{\pi}}\sqrt{T_v}

Calculates ultimate primary consolidation settlement and progressive time-rate dissipation of pore water pressure in compressible clay strata under foundation loading.

How to Use the Terzaghi 1D Primary Consolidation Settlement (S_c) & Time-Rate (U_v) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Terzaghi 1D Primary Consolidation Settlement (S_c) & Time-Rate (U_v) Calculator Example

Input Values:

clayLayerThicknessMeters:6
initialVoidRatioE0:0.85
compressionIndexCc:0.32
initialEffectiveStressKpa:75
stressIncrementDeltaSigmaKpa:50
coefficientOfConsolidationCvM2PerYear:2.5
drainagePathCondition:two_way
elapsedTimeYears:1.5
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required mm.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

\n

Explore more tools and calculators in Physics Calculators