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Mohr-Coulomb Soil Shear Strength Envelope (τ), Cohesion (c) & Friction Angle (φ) Calculator

Easily calculate and compute mohr-coulomb soil shear strength envelope (τ), cohesion (c) & friction angle (φ) calculator with accurate equations, live formulas, and expert guidance.

Drained intercept shear strength at zero normal stress.

Internal angle of shearing resistance.

Effective stress perpendicular to failure plane.

Ambient hydrostatic pore fluid pressure.

Calculated Result
81.8 kPa

Shear Strength (τ_f)

Shear Strength (τ_f)

81.8 kPa

Shear Strength Tau F Kpa

81.8

Total Normal Stress Kpa

145

Failure Plane Inclination Deg

59

Passive Pressure Coefficient Nphi

2.77

81.8 — kPa

Calculation Breakdown

  1. Applied FormulaCalculates the shear strength limit (τ_f) and failure slip plane orientation of soils and rocks using Terzaghi’s effective stress principle and the Mohr-Coulomb failure criterion.\tau_f = c' + (\sigma_n - u)\tan\phi', \quad N_\phi = \tan^2\left(45^\circ + \frac{\phi'}{2}\right)

Mohr-Coulomb Shear Strength Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.020416182Shear Strength (τ_f)

What Is the Mohr-Coulomb Soil Shear Strength Envelope (τ), Cohesion (c) & Friction Angle (φ) Calculator?

This tool computes mohr-coulomb soil shear strength envelope (τ), cohesion (c) & friction angle (φ) calculator with high precision arithmetic.

How Does the Mohr-Coulomb Soil Shear Strength Envelope (τ), Cohesion (c) & Friction Angle (φ) Calculator Work?

Calculates the shear strength limit (τ_f) and failure slip plane orientation of soils and rocks using Terzaghi’s effective stress principle and the Mohr-Coulomb failure criterion.

Mohr-Coulomb Soil Shear Strength Envelope (τ), Cohesion (c) & Friction Angle (φ) Calculator Formula & Variables

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

τf=c′+(σn−u)tan⁡ϕ′,Nϕ=tan⁡2(45∘+ϕ′2)\tau_f = c' + (\sigma_n - u)\tan\phi', \quad N_\phi = \tan^2\left(45^\circ + \frac{\phi'}{2}\right)

Calculates the shear strength limit (τ_f) and failure slip plane orientation of soils and rocks using Terzaghi’s effective stress principle and the Mohr-Coulomb failure criterion.

How to Use the Mohr-Coulomb Soil Shear Strength Envelope (τ), Cohesion (c) & Friction Angle (φ) Calculator

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

Step-by-Step Example Calculation

Mohr-Coulomb Soil Shear Strength Envelope (τ), Cohesion (c) & Friction Angle (φ) Calculator Example

Input Values:

effectiveCohesionCPrimeKpa:18
effectiveFrictionAnglePhiDeg:28
normalEffectiveStressSigmaKpa:120
poreWaterPressureUKpa:25
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required kPa.

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.

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