Angle of Inclination given Critical Slope Angle Calculator

Angle of Inclination Formula:

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

Angle of Inclination (i):

1. What is Angle of Inclination given Critical Slope Angle?

Definition: This calculator determines the angle of inclination to horizontal in soil based on the critical slope angle and angle of mobilized friction.

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

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( i \) — Angle of inclination to horizontal in soil (degrees)
\( \theta_{cr} \) — Critical slope angle in soil mechanics (degrees)
\( \phi_m \) — Angle of mobilized friction (degrees)

Explanation: The angle of inclination is calculated by doubling the critical slope angle and subtracting the angle of mobilized friction.

3. Importance of Angle of Inclination Calculation

Details: Proper calculation helps in designing stable slopes, preventing landslides, and ensuring safe construction on inclined surfaces.

4. Using the Calculator

Tips: Enter the critical slope angle and angle of mobilized friction in degrees. Both values must be > 0. Results include ±5% tolerance.

5. Frequently Asked Questions (FAQ)

Q1: What is critical slope angle?
A: Critical slope angle is the steepest angle at which a slope can remain stable without failing.

Q2: What is angle of mobilized friction?
A: It's the angle at which soil particles begin to slide against each other under stress.

Q3: Why is there a ±5% tolerance?
A: Soil properties can vary, so calculations should account for natural variability in soil composition.

Q4: How do I measure critical slope angle?
A: It's typically determined through geotechnical testing and analysis of soil properties.

Q5: What if my calculated angle is negative?
A: A negative result suggests the slope would be unstable under the given conditions.