Depth at Mobilized Cohesion Calculator

Depth at Mobilized Cohesion Formula:

\[ H = \frac{C_c}{\gamma \times S_n} \]

Depth at Mobilized Cohesion (m):

1. What is Depth at Mobilized Cohesion?

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

Purpose: It helps geotechnical engineers assess slope stability and foundation design by determining the effective depth of cohesive soil strength.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ H = \frac{C_c}{\gamma \times S_n} \]

Where:

\( H \) — Depth at mobilized cohesion (meters)
\( C_c \) — Mobilized cohesion for cohesive soil (Pascals)
\( \gamma \) — Unit weight of soil (kN/m³)
\( S_n \) — Stability number (±5%)

Explanation: The mobilized cohesion is divided by the product of unit weight and stability number to determine the critical depth.

3. Importance of Depth Calculation

Details: Accurate depth calculation ensures proper assessment of soil stability, preventing slope failures and foundation issues.

4. Using the Calculator

Tips: Enter the mobilized cohesion in Pascals, unit weight in kN/m³, and stability number (±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is mobilized cohesion?
A: Mobilized cohesion is the effective shear strength of cohesive soil when subjected to shear stresses.

Q2: How is unit weight of soil determined?
A: Unit weight is typically measured through laboratory tests on soil samples.

Q3: Why is the stability number ±5%?
A: The 5% variation accounts for uncertainties in soil properties and analysis methods.

Q4: When would this calculation be used?
A: Primarily in slope stability analysis, retaining wall design, and foundation engineering.

Q5: How accurate is this calculation?
A: While theoretically sound, field conditions may vary - always consider a safety factor.