Distance between Line of Action of Weight and Line Passing through Center Calculator

Distance Formula:

\[ x' = \frac{c_u \times L' \times d_{radial}}{W \times fs} \]

Unit Cohesion:

Length of Slip Arc:

Radial Distance:

Weight of Body:

Factor of Safety:

Distance between LOA and COR (m):

1. What is Distance between LOA and COR?

Definition: This is the distance between the line of action of weight and the line passing through the center, which is the perpendicular distance from a point to a line in a geometric configuration.

Purpose: It helps in analyzing the stability of slopes and soil mechanics calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ x' = \frac{c_u \times L' \times d_{radial}}{W \times fs} \]

Where:

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

Explanation: The product of unit cohesion, slip arc length, and radial distance is divided by the product of weight and safety factor.

3. Importance of This Calculation

Details: Proper calculation ensures accurate assessment of slope stability and helps prevent structural failures in geotechnical engineering.

4. Using the Calculator

Tips: Enter all required values with their appropriate units. The calculator accounts for a ±5% margin of error in inputs.

5. Frequently Asked Questions (FAQ)

Q1: What is unit cohesion?
A: Unit cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.

Q2: How is radial distance measured?
A: Radial distance is defined as the distance between the whisker sensor's pivot point to whisker-object contact point.

Q3: What is a typical factor of safety?
A: The factor of safety depends on the application but typically ranges from 1.5 to 3 for slope stability analysis.

Q4: Why is there a ±5% margin?
A: The ±5% accounts for measurement uncertainties and variations in material properties.

Q5: How accurate is this calculation?
A: The calculation is theoretically accurate when precise inputs are provided, but field conditions may vary.