Width of Footing given Weight of Wedge Calculator

Formula Used:

\[ B = \sqrt{\frac{W \times 4}{\tan\left(\frac{\phi \times \pi}{180}\right) \times \gamma}} \]

Weight of Wedge (W):

Angle of Shearing Resistance (φ):

degrees

Unit Weight of Soil (γ):

N/m³

Width of Footing (B):

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1. What is the Width of Footing Calculation?

The width of footing calculation determines the appropriate foundation width based on soil properties and the weight of the soil wedge. This is crucial for ensuring structural stability and preventing foundation failure in geotechnical engineering.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ B = \sqrt{\frac{W \times 4}{\tan\left(\frac{\phi \times \pi}{180}\right) \times \gamma}} \]

Where:

\( B \) — Width of Footing (m)
\( W \) — Weight of Wedge (kg)
\( \phi \) — Angle of Shearing Resistance (degrees)
\( \gamma \) — Unit Weight of Soil (N/m³)
\( \pi \) — Mathematical constant pi (approximately 3.1416)

Explanation: The formula calculates the required footing width by considering the soil's shear resistance and unit weight, ensuring the foundation can adequately support the structural load.

3. Importance of Footing Width Calculation

Details: Proper footing width calculation is essential for structural stability, preventing settlement, and ensuring the foundation can distribute loads effectively to the underlying soil without causing shear failure.

4. Using the Calculator

Tips: Enter the weight of wedge in kg, angle of shearing resistance in degrees, and unit weight of soil in N/m³. All values must be positive and valid for accurate results.

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 between soil particles.

Q2: Why is unit weight of soil important?
A: Unit weight affects the soil's bearing capacity and influences how loads are distributed through the foundation to the underlying soil layers.

Q3: What factors affect the weight of wedge?
A: The weight of wedge depends on soil density, moisture content, and the geometry of the failure surface beneath the foundation.

Q4: When is this calculation most critical?
A: This calculation is particularly important for structures on cohesive soils, slopes, or in seismic areas where soil stability is a concern.

Q5: Are there limitations to this formula?
A: The formula assumes homogeneous soil conditions and may need adjustments for layered soils, unusual soil types, or complex loading conditions.