Mobilised Cohesion Corresponding to Local Shear Failure Calculator ±5%

Mobilised Cohesion Formula:

\[ C_m = \frac{2}{3} \times C_s \]

Mobilised Cohesion: %

1. What is Mobilised Cohesion Corresponding to Local Shear Failure?

Definition: Mobilised Cohesion is the amount of cohesion that is resisting the shear stress in soil during local shear failure.

Purpose: It helps geotechnical engineers determine the shear strength of soil when analyzing slope stability or foundation bearing capacity.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C_m = \frac{2}{3} \times C_s \]

Where:

\( C_m \) — Mobilised Cohesion (%)
\( C_s \) — Cohesion of Soil (%)

Explanation: The cohesion of soil is multiplied by 2/3 to determine the mobilised cohesion that resists shear stress during local failure.

3. Importance of Mobilised Cohesion Calculation

Details: Proper calculation of mobilised cohesion is crucial for designing stable earth structures and predicting soil behavior under stress.

4. Using the Calculator

Tips: Enter the cohesion of soil in percentage. The value must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is the factor 2/3 used?
A: The 2/3 factor represents the typical ratio of mobilised cohesion to total cohesion during local shear failure conditions.

Q2: What's a typical cohesion value for soils?
A: Cohesion values vary widely: clay might have 5-50%, while sandy soils may have 0-5%.

Q3: When would local shear failure occur?
A: Local shear failure typically occurs in loose soils or soils with low relative density.

Q4: How does this differ from general shear failure?
A: General shear failure involves full mobilization of soil strength, while local shear failure only partially mobilizes strength.

Q5: What safety factors should be considered?
A: Typical safety factors range from 1.5 to 3.0 depending on project requirements and soil conditions.