Home Back

Length of Slip Plane given Cohesive Force along Slip Plane Calculator

Length of Slip Plane Formula:

\[ L = \frac{F_c}{C_{mob}} \]

1. What is Length of Slip Plane given Cohesive Force along Slip Plane?

Definition: This calculator determines the length of a potential failure plane (slip plane) based on the cohesive force and mobilized cohesion.

Purpose: It helps geotechnical engineers analyze slope stability and potential failure surfaces in soil mechanics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L = \frac{F_c}{C_{mob}} \]

Where:

  • \( L \) — Length of slip plane (meters)
  • \( F_c \) — Cohesive force in kilonewtons (KN)
  • \( C_{mob} \) — Mobilized cohesion in kilopascals (Kilopascal)

Explanation: The length of the slip plane is calculated by dividing the cohesive force by the mobilized cohesion.

3. Importance of Slip Plane Calculation

Details: Accurate calculation of slip plane length is crucial for assessing slope stability and designing appropriate reinforcement measures.

4. Using the Calculator

Tips: Enter the cohesive force in KN and mobilized cohesion in Kilopascal. All values must be > 0. The ±5% indicates the acceptable margin of error for these measurements.

5. Frequently Asked Questions (FAQ)

Q1: What is cohesive force in soil mechanics?
A: Cohesive force is the shear strength of soil that results from molecular attraction between particles.

Q2: What does mobilized cohesion mean?
A: Mobilized cohesion is the portion of the soil's total cohesion that is actually resisting shear stress at a given time.

Q3: How is this calculation used in practice?
A: Engineers use this to determine critical failure surfaces in slope stability analysis and design appropriate stabilization measures.

Q4: Why is there a ±5% margin indicated?
A: Soil properties can vary, and this margin accounts for typical measurement uncertainties in geotechnical engineering.

Q5: What units should be used for input?
A: Cohesive force should be in KN (kilonewtons) and mobilized cohesion in Kilopascal (kPa).

Length of Slip Plane given Cohesive Force along Slip Plane Calculator© - All Rights Reserved 2025