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Angle Of Shearing Resistance Given Weight Of Wedge Calculator

Formula Used:

\[ \phi = \tan^{-1}\left(\frac{W_{we} \times 4}{\gamma \times B^2}\right) \]

kN
N/m³
m

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1. What is Angle of Shearing Resistance?

The angle of shearing resistance is a component of the shear strength of soils which is basically frictional material composed of individual particles. It represents the internal friction angle of the soil.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \phi = \tan^{-1}\left(\frac{W_{we} \times 4}{\gamma \times B^2}\right) \]

Where:

Explanation: The formula calculates the angle of shearing resistance based on the weight of the soil wedge, unit weight of soil, and footing width.

3. Importance of Angle of Shearing Resistance

Details: The angle of shearing resistance is crucial for determining the shear strength of soils, which is essential for foundation design, slope stability analysis, and earth pressure calculations.

4. Using the Calculator

Tips: Enter the weight of wedge in kN, unit weight of soil in N/m³, and width of footing in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of angle of shearing resistance for soils?
A: For sands: 28-45°, for clays: 0-30°, depending on soil type and conditions.

Q2: How does moisture content affect the angle of shearing resistance?
A: Increased moisture content generally reduces the angle of shearing resistance in cohesive soils due to reduced effective stress.

Q3: What is the difference between angle of shearing resistance and cohesion?
A: Angle of shearing resistance represents frictional resistance, while cohesion represents the binding forces between soil particles.

Q4: Can this calculator be used for all soil types?
A: This formula is primarily applicable for frictional soils. Cohesive soils require additional consideration of cohesion.

Q5: How accurate is this calculation method?
A: The calculation provides a theoretical estimate. For precise engineering applications, laboratory testing is recommended.

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