Depth of Mobilized Cohesion given Critical Depth Calculator

Depth at Mobilized Cohesion Formula:

\[ H = \frac{h_{Critical}}{F_c} \]

Depth at Mobilized Cohesion (m):

1. What is Depth of Mobilized Cohesion?

Definition: Depth at Mobilized Cohesion is the depth at which mobilized cohesion is considered in slope stability analysis.

Purpose: It helps geotechnical engineers determine the critical depth where cohesion becomes significant for slope stability calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H = \frac{h_{Critical}}{F_c} \]

Where:

\( H \) — Depth at Mobilized Cohesion (meters)
\( h_{Critical} \) — Critical Depth for Factor of Safety (meters)
\( F_c \) — Factor of Safety with respect to Cohesion

Explanation: The critical depth is divided by the factor of safety to determine the depth where cohesion is mobilized.

3. Importance of Depth at Mobilized Cohesion

Details: Proper calculation ensures accurate slope stability analysis and helps prevent slope failures in geotechnical engineering projects.

4. Using the Calculator

Tips: Enter the critical depth (in meters) and factor of safety with respect to cohesion. All values must be > 0. Results include a ±5% tolerance.

5. Frequently Asked Questions (FAQ)

Q1: What is typical range for Factor of Safety with respect to Cohesion?
A: Typical values range from 1.3 to 2.0 depending on project requirements and soil conditions.

Q2: How is Critical Depth determined?
A: Critical Depth is typically determined through geotechnical analysis considering soil properties and slope geometry.

Q3: Why is there a ±5% tolerance?
A: The tolerance accounts for variability in soil properties and measurement uncertainties.

Q4: Can this be used for all soil types?
A: This calculation is most applicable for cohesive soils where mobilization of cohesion is significant.

Q5: How does this relate to overall slope stability?
A: Depth at Mobilized Cohesion is one component in comprehensive slope stability analysis.