Cohesion of Soil given Factor of Safety with respect to Cohesion Calculator

Cohesion of Soil Formula:

\[ c = (S_n \times F_c \times \gamma \times H_{Mobilised}) \]

Stability Number (S_n):

Factor of Safety (F_c):

Unit Weight of Soil (γ):

kN/m³

Mobilized Depth (H_Mobilised):

Cohesion of Soil (c):

1. What is Cohesion of Soil?

Definition: Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.

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

2. How Does the Calculator Work?

The calculator uses the formula:

\[ c = (S_n \times F_c \times \gamma \times H_{Mobilised}) \]

Where:

\( c \) — Cohesion of Soil (kPa)
\( S_n \) — Stability Number
\( F_c \) — Factor of Safety with respect to Cohesion
\( \gamma \) — Unit Weight of Soil (kN/m³)
\( H_{Mobilised} \) — Depth at Mobilized Cohesion (m)

Explanation: The formula calculates soil cohesion by multiplying stability number, safety factor, unit weight, and mobilized depth.

3. Importance of Soil Cohesion Calculation

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

4. Using the Calculator

Tips: Enter all required parameters. The ±5% indicates the typical accuracy range for these inputs in geotechnical engineering.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical Stability Number range?
A: Stability numbers typically range from 0.05 to 0.3 for most soils, depending on slope angle and soil type.

Q2: How is Factor of Safety determined?
A: Factor of Safety is typically between 1.3 and 2.0, depending on project requirements and soil conditions.

Q3: What affects Unit Weight of Soil?
A: Unit weight varies with soil composition (18-22 kN/m³ for most soils) and moisture content.

Q4: How is Mobilized Depth measured?
A: This is typically determined through geotechnical investigation and soil testing.

Q5: Why the ±5% accuracy indication?
A: Soil properties naturally vary, and this represents the typical uncertainty in geotechnical parameters.