Radial Distance from Centre of Rotation given Factor of Safety Calculator

Radial Distance Formula:

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

Factor of Safety:

Unit Cohesion:

Length of Slip Arc:

Weight of Body:

Distance between LOA and COR:

Radial Distance (m):

1. What is Radial Distance from Centre of Rotation?

Definition: Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

Purpose: It helps in analyzing stability and safety factors in rotational systems, particularly in geotechnical engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( d_{radial} \) — Radial Distance (meters)
\( f_s \) — Factor of Safety (±5%)
\( c_u \) — Unit Cohesion (Pascal)
\( L' \) — Length of Slip Arc (meters)
\( W \) — Weight of Body (Newtons)
\( x' \) — Distance between LOA and COR (meters)

Explanation: The formula calculates the radial distance based on the balance between cohesive forces and the weight of the body.

3. Importance of Radial Distance Calculation

Details: Proper calculation ensures structural stability and safety in rotational systems, particularly in slope stability analysis.

4. Using the Calculator

Tips: Enter all required values with appropriate units. The Factor of Safety has a ±5% tolerance. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for Factor of Safety?
A: For most engineering applications, a factor of safety between 1.5 and 3.0 is common, with ±5% tolerance.

Q2: How is Unit Cohesion determined?
A: Unit Cohesion is typically measured through laboratory tests like triaxial or direct shear tests on soil samples.

Q3: What affects the Length of Slip Arc?
A: It depends on the geometry of the potential failure surface and the soil properties.

Q4: Why is Weight of Body important?
A: The weight contributes to the driving forces that might cause rotation or sliding.

Q5: How precise should the Distance between LOA and COR be?
A: This should be measured as precisely as possible as it directly affects the moment calculation.