Soil triaxial principal stress calculator

Calculate minor principal stress and major principal stress with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use minor principal stress and major principal stress to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Cell confining pressure (kPa)
100
Axial deviator force (N)
2000
Corrected sample area (mm²)
2000
Minor principal stress (kPa)
100
Major principal stress (kPa)
1100
Deviator stress (kPa)
1000
Mean principal stress (kPa)
433.333333

Try another scenario

Cell confining pressure (kPa)
101
Axial deviator force (N)
2000
Corrected sample area (mm²)
2000
Minor principal stress (kPa)
101
Major principal stress (kPa)
1101
Deviator stress (kPa)
1000
Mean principal stress (kPa)
434.333333
Calculation method

Calculation method

Minor principal stress (kPa)

Axisymmetric triaxial compression: σ3=cell pressure, q=force/corrected area, σ1=σ3+q, p=(σ1+2σ3)/3.

Major principal stress (kPa)

Axisymmetric triaxial compression: σ3=cell pressure, q=force/corrected area, σ1=σ3+q, p=(σ1+2σ3)/3.

Deviator stress (kPa)

Axisymmetric triaxial compression: σ3=cell pressure, q=force/corrected area, σ1=σ3+q, p=(σ1+2σ3)/3.

Mean principal stress (kPa)

Axisymmetric triaxial compression: σ3=cell pressure, q=force/corrected area, σ1=σ3+q, p=(σ1+2σ3)/3.

Symbols and units
a
Cell confining pressure (kPa)
b
Axial deviator force (N)
c
Corrected sample area (mm²)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Axisymmetric triaxial compression: σ3=cell pressure, q=force/corrected area, σ1=σ3+q, p=(σ1+2σ3)/3. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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