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

Mobilized Shear Resistance Formula:

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

Weight of Body in Newtons:

Distance between LOA and COR:

Radial Distance:

Length of Slip Arc:

Mobilized Shear Resistance of Soil (Pa):

1. What is Mobilized Shear Resistance of Soil?

Definition: Mobilized shear resistance is the shear strength of soil that is actually developed or activated when the soil is subjected to shear stresses.

Purpose: It helps geotechnical engineers analyze slope stability and foundation bearing capacity.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( c_m \) — Mobilized shear resistance (Pa)
\( W \) — Weight of body in Newtons (N)
\( x' \) — Distance between LOA and COR (m)
\( d_{radial} \) — Radial distance (m)
\( L' \) — Length of slip arc (m)

Explanation: The formula calculates the mobilized shear resistance based on the weight of soil on the wedge and geometric parameters of the slip surface.

3. Importance of Mobilized Shear Resistance

Details: Understanding mobilized shear resistance is crucial for assessing slope stability and preventing landslides or structural failures.

4. Using the Calculator

Tips: Enter all required parameters with their units. The ±5% indicates the typical measurement tolerance for these parameters.

5. Frequently Asked Questions (FAQ)

Q1: What is LOA and COR in this context?
A: LOA stands for Line of Action, COR stands for Center of Rotation - key geometric references in slope stability analysis.

Q2: Why is there a ±5% tolerance?
A: Soil properties and geometric measurements typically have about 5% variability in field conditions.

Q3: How is radial distance determined?
A: It's measured from the center of rotation to the point of interest along the slip surface.

Q4: What units should I use?
A: Use Newtons for weight and meters for all distance measurements as shown.

Q5: How accurate is this calculation?
A: It provides a theoretical estimate - actual field conditions may vary due to soil heterogeneity.