What Is the Mohr-Coulomb Shear Failure Envelope & Strength Calculator?
The Mohr-Coulomb failure criterion is the foundational constitutive model in geotechnics, soil mechanics, and rock engineering.
It defines shear resistance along internal slip planes as the sum of cohesive bond strength c and frictional interlock σ_n · tan(φ).
How Does the Mohr-Coulomb Shear Failure Envelope & Strength Calculator Work?
The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.
Mohr-Coulomb Shear Failure Envelope & Strength Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Evaluates linear shear envelope and determines catastrophic slip plane angle relative to the major principal stress plane.
How to Use the Mohr-Coulomb Shear Failure Envelope & Strength Calculator
- Enter your primary measurements in the input fields above.
- Select your preferred units (e.g. metric or imperial) if applicable.
- Review or adjust operational assumptions such as field efficiency.
- Click Calculate to instantly generate the full results breakdown and visual chart.
- Use the Reset button at any time to clear the form and test a new scenario.
Step-by-Step Example Calculation
Dense sandstone rock mass with c = 5 MPa and φ = 30° under 10 MPa normal stress
Input Values:
Understanding Your Result
Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.
Factors That Affect the Result
Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.
When Should You Use This Calculator?
Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.
Assumptions & Limitations
- Geotechnical Engineering
- Rock Mechanics
- Soil Mechanics
Frequently Asked Questions
Calculation Accuracy & Reference Note
This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.