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Distance between Line of Action and Line Passing through Center given Mobilized Cohesion Calculator

Distance Formula:

\[ x' = \frac{c_m}{\left(\frac{W \times d_{radial}}{L'}\right)} \]

1. What is Distance between LOA and COR?

Definition: This calculator computes the distance between the line of action and the line passing through the center given mobilized cohesion.

Purpose: It helps geotechnical engineers analyze slope stability and soil mechanics problems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ x' = \frac{c_m}{\left(\frac{W \times d_{radial}}{L'}\right)} \]

Where:

  • \( x' \) — Distance between LOA and COR (m)
  • \( c_m \) — Mobilized shear resistance of soil (Pa)
  • \( W \) — Weight of body in Newtons (N)
  • \( d_{radial} \) — Radial distance (m)
  • \( L' \) — Length of slip arc (m)

Explanation: The mobilized shear resistance is divided by the ratio of (weight × radial distance) to slip arc length.

3. Importance of This Calculation

Details: Proper calculation ensures accurate analysis of slope stability and helps prevent geotechnical failures.

4. Using the Calculator

Tips: Enter all required values with ±5% tolerance. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is mobilized shear resistance?
A: It's the shear strength of soil that is actually mobilized or used to resist sliding at a particular state of stress.

Q2: How is radial distance determined?
A: Radial distance is measured from the center of rotation to the point of interest along the slip surface.

Q3: What affects the length of slip arc?
A: The geometry of the potential failure surface and soil properties determine the slip arc length.

Q4: Why ±5% tolerance?
A: This accounts for typical measurement uncertainties in geotechnical engineering parameters.

Q5: Can this be used for all soil types?
A: The formula applies to cohesive soils, with adjustments needed for granular materials.

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