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Mobilized Cohesion given Stability Number for Cohesive Soil Calculator

Mobilized Cohesion Formula:

\[ C_c = S_n \times \gamma \times H \]

kN/m³
m
kN/m²

1. What is Mobilized Cohesion for Cohesive Soil?

Definition: Mobilized Cohesion for Cohesive Soil is the effective shear strength contributed by cohesive soils when subjected to shear stresses.

Purpose: This calculator helps geotechnical engineers determine the mobilized cohesion based on stability number, soil unit weight, and depth.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ C_c = S_n \times \gamma \times H \]

Where:

  • \( C_c \) — Mobilized Cohesion (kN/m²)
  • \( S_n \) — Stability Number (dimensionless)
  • \( \gamma \) — Unit Weight of Soil (kN/m³)
  • \( H \) — Depth at Mobilized Cohesion (m)

Explanation: The stability number multiplied by the unit weight and depth gives the mobilized cohesion at the specified depth.

3. Importance of Mobilized Cohesion Calculation

Details: Proper calculation of mobilized cohesion is crucial for slope stability analysis, foundation design, and earth retaining structures.

4. Using the Calculator

Tips: Enter the stability number, unit weight of soil, and depth at which mobilized cohesion is considered. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical range for stability number?
A: Stability numbers typically range from 0.1 to 2.5 depending on slope geometry and soil conditions.

Q2: How accurate is this calculation?
A: The calculation has an accuracy of ±5% due to variability in soil properties and measurement uncertainties.

Q3: What affects the unit weight of soil?
A: Unit weight depends on soil type, moisture content, and degree of compaction.

Q4: Why is depth important in this calculation?
A: Cohesion typically varies with depth due to changes in overburden pressure and soil composition.

Q5: Can this be used for all soil types?
A: This formula is specifically for cohesive soils (clays). Different approaches are needed for granular soils.

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