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Angle of Mobilized Friction given Critical Slope Angle Calculator

Angle of Mobilized Friction Formula:

\[ \phi_m = (2 \times \theta_{cr}) - i \]

1. What is Angle of Mobilized Friction?

Definition: Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force.

Purpose: It helps in analyzing slope stability and determining the critical conditions for soil movement.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \phi_m = (2 \times \theta_{cr}) - i \]

Where:

  • \( \phi_m \) — Angle of Mobilized Friction (degrees)
  • \( \theta_{cr} \) — Critical Slope Angle in Soil Mechanics (degrees)
  • \( i \) — Angle of Inclination to Horizontal in Soil (degrees)

Explanation: The critical slope angle is doubled and then reduced by the inclination angle to determine the mobilized friction angle.

3. Importance of Angle Calculation

Details: Proper calculation helps in designing stable slopes, preventing landslides, and ensuring safety in geotechnical engineering projects.

4. Using the Calculator

Tips: Enter the critical slope angle and inclination angle (both in degrees). The result includes a ±5% margin of error.

5. Frequently Asked Questions (FAQ)

Q1: What is the critical slope angle?
A: It's the angle formed by the most dangerous plane where failure is most likely to occur.

Q2: Why is there a ±5% margin?
A: This accounts for variations in soil properties and measurement uncertainties.

Q3: What units should I use for the angles?
A: The calculator uses degrees for all angle measurements.

Q4: Can this be used for any soil type?
A: The formula is general but may need adjustment for specific soil conditions.

Q5: What if I get a negative result?
A: A negative angle suggests the slope is inherently stable under the given conditions.

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