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Weight of Wedge given Width of Footing Calculator

Formula Used:

\[ W_{we} = \frac{\tan(\varphi) \times \gamma \times B^2}{4} \]

radians
N/m³
m

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1. What is the Weight of Wedge Formula?

The Weight of Wedge formula calculates the weight of soil in the form of a wedge behind a retaining structure. It is used in geotechnical engineering to determine the soil pressure on retaining walls and foundations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W_{we} = \frac{\tan(\varphi) \times \gamma \times B^2}{4} \]

Where:

Explanation: The formula accounts for the soil properties and footing dimensions to determine the weight of the soil wedge that contributes to lateral earth pressure.

3. Importance of Weight of Wedge Calculation

Details: Accurate calculation of the weight of wedge is crucial for designing stable retaining structures, determining lateral earth pressures, and ensuring foundation stability in geotechnical engineering projects.

4. Using the Calculator

Tips: Enter the angle of shearing resistance in radians, 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 angle of shearing resistance?
A: The angle of shearing resistance is a measure of the shear strength of soil, representing the internal friction angle of the soil material.

Q2: Why is the width of footing squared in the formula?
A: The width of footing is squared because the weight of the wedge is proportional to the area of the wedge cross-section, which increases with the square of the footing width.

Q3: What units should be used for input values?
A: Angle should be in radians, unit weight in N/m³, and width in meters for consistent results in Newtons.

Q4: Can this formula be used for all soil types?
A: This formula is primarily used for cohesionless soils where the angle of shearing resistance is the dominant strength parameter.

Q5: How does the weight of wedge affect retaining wall design?
A: The weight of wedge directly influences the lateral earth pressure on retaining structures, which is critical for determining wall stability and required reinforcement.

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