Weight of Soil on Wedge given Mobilized Shear Resistance of Soil Calculator

Formula Used:

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

Mobilized Shear Resistance of Soil:

Distance between LOA and COR:

Radial Distance:

Length of Slip Arc:

Weight of Body in Newtons:

1. What is Weight of Soil on Wedge given Mobilized Shear Resistance?

Definition: This calculator determines the weight of soil acting on a wedge when the mobilized shear resistance of the soil is known.

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

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( W \) — Weight of Body in Newtons
\( c_m \) — Mobilized Shear Resistance of Soil (Pascal)
\( x' \) — Distance between LOA and COR (meters)
\( d_{radial} \) — Radial Distance (meters)
\( L' \) — Length of Slip Arc (meters)

Explanation: The formula calculates the weight of soil based on the balance between shear resistance and geometric factors of the failure surface.

3. Importance of This Calculation

Details: Accurate calculation of soil weight on potential failure wedges is crucial for slope stability analysis and designing retaining structures.

4. Using the Calculator

Tips: Enter all required parameters with ±5% tolerance. Values must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is mobilized shear resistance?
A: It's the shear strength of soil that is actually resisting movement along a potential failure surface.

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

Q3: What does LOA stand for?
A: LOA stands for Line of Action, representing the direction of the resultant force.

Q4: What is COR in this context?
A: COR stands for Center of Rotation, the point about which the potential failure mass would rotate.

Q5: Why is ±5% tolerance shown?
A: This indicates typical measurement uncertainties in geotechnical parameters.