Soil direct shear envelope calculator

Calculate apparent cohesion intercept and apparent friction angle with your own figures.

Your numbers

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

Use apparent cohesion intercept and apparent friction angle to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Normal effective stresses (kPa)
50,100,200
Failure shear stresses (kPa)
40,65,115
Apparent cohesion intercept (kPa)
15
Apparent friction angle (degrees)
26.565051
Shear-stress residuals (JSON)
[7.1054273576e-15,7.1054273576e-15,7.1054273576e-15]

Try another scenario

Normal effective stresses (kPa)
[51, 100, 200]
Failure shear stresses (kPa)
[40, 65, 115]
Apparent cohesion intercept (kPa)
14.498584
Apparent friction angle (degrees)
26.696044
Shear-stress residuals (JSON)
[-0.144500317901,0.215305473672,-0.0708051557714]
Calculation method

Calculation method

Apparent cohesion intercept (kPa)

Mohr-Coulomb least-squares line τ=c+σnormal×tanφ; outputs are apparent fitted parameters.

Apparent friction angle (degrees)

Mohr-Coulomb least-squares line τ=c+σnormal×tanφ; outputs are apparent fitted parameters.

Shear-stress residuals (JSON)

Mohr-Coulomb least-squares line τ=c+σnormal×tanφ; outputs are apparent fitted parameters.

Symbols and units
a
Normal effective stresses (kPa)
b
Failure shear stresses (kPa)

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; Mohr-Coulomb least-squares line τ=c+σnormal×tanφ; outputs are apparent fitted parameters. 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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