Fine-grained soil interpretation

Atterberg Limits Plasticity Interactive Calculator

Calculate plasticity index, liquidity index, consistency index, activity number, natural moisture content, and plastic limit from common geotechnical laboratory inputs.

Moisture state diagram

Soil behavior changes at PL and LL

The plastic limit and liquid limit define the moisture range where clayey soil behaves plastically.

Consistency from LI: Soft => CH

PL
W
LL
Solid
Semi-solid
Plastic
Liquid
PI30%
LI0.50
CI0.50
Casagrande chart

Plasticity chart with real-time sliders

Casagrande Plasticity Chart

The red point is driven by the sliders on the right. It reads LL, PL, and natural moisture content w, then plots PI = LL − PL.

A-lineU-lineLL = 50
50%
20%
35%
ParameterValue
Plasticity Index (PI)30%
Position
Soil state
PLASTIC

The natural moisture content is between PL and LL, so the soil is in the plastic range.

Position of natural moisture content relative to the plastic range.

Equations & formulas

Core Atterberg relationships

Plasticity Index

PI = LL − PL

Measures the moisture range over which the soil remains plastic.

Liquidity Index

LI = (w − PL) / PI

Normalizes natural moisture content between plastic and liquid limits.

Consistency Index

CI = (LL − w) / PI

Complements liquidity index; for consistent inputs, CI + LI = 1.

Activity Number

A = PI / Cf

Relates plasticity to clay-size fraction to infer mineral activity.

A-line

PI = 0.73(LL − 20)

Separates clay-like behavior above the line from silt/organic-like behavior below the line.

U-line

PI = 0.90(LL − 8)

Upper empirical boundary; points above this line should be checked for data quality or unusual material.

Engineering use

Theory & practical applications

Atterberg limits are used for fine-grained soil classification, earthwork control, preliminary foundation assessment, shrink–swell screening, and consistency interpretation. PI is commonly used with the Casagrande plasticity chart, LI/CI help interpret in-situ water content relative to the lab limits, and activity number supports clay-mineral behavior screening.

IndexCommon interpretationEngineering note
PIPlasticity rangeHigher PI often indicates greater clay influence and shrink–swell concern.
LIPosition between PL and LLLI near or above 1 suggests very soft to liquid behavior.
CIRelative consistencyHigher CI indicates stiffer condition relative to LL.
ActivityPI normalized by clay fractionHigh values suggest active clay minerals and expansive potential.
FAQ

Frequently asked questions

What inputs are needed for the basic PI calculation?

Enter liquid limit and plastic limit. The calculator computes PI as LL minus PL.

Can this replace laboratory testing?

No. This calculator interprets measured or assumed values. Use project-specific laboratory results for design decisions.

How is USCS classification estimated here?

The estimate compares LL with 50 and checks whether PI plots above or below the A-line, PI = 0.73(LL − 20).

What does an activity number greater than 1.25 imply?

It usually indicates an active clay, often associated with higher swelling potential and greater sensitivity to moisture changes.

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