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Width of Footing given Angle of Shearing Resistance by Meyerhof's Analysis Calculator

Meyerhof's Analysis Formula:

\[ B = (1.1 - \frac{\Phi_p}{\phi}) \times \frac{L}{0.1} \]

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rad
m

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1. What is Meyerhof's Analysis Formula?

Meyerhof's Analysis Formula is used to determine the width of footing based on the angle of shearing resistance. It considers the relationship between plain strain conditions and general internal friction angles to provide an accurate footing width calculation for foundation design.

2. How Does the Calculator Work?

The calculator uses Meyerhof's Analysis formula:

\[ B = (1.1 - \frac{\Phi_p}{\phi}) \times \frac{L}{0.1} \]

Where:

Explanation: The formula accounts for the relationship between plain strain conditions and general internal friction angles to determine the appropriate footing width for foundation stability.

3. Importance of Footing Width Calculation

Details: Accurate footing width calculation is crucial for foundation design, ensuring structural stability, proper load distribution, and preventing settlement issues in construction projects.

4. Using the Calculator

Tips: Enter all angles in radians, length of footing in meters. Ensure all values are positive and angle of internal friction is greater than zero for valid calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the 1.1 factor in the formula?
A: The 1.1 factor is an empirical coefficient derived from Meyerhof's research that accounts for the relationship between plain strain and general shear conditions.

Q2: How does plain strain condition differ from general shear condition?
A: Plain strain condition refers to deformation where strain occurs in only two dimensions, while general shear involves three-dimensional strain conditions.

Q3: What are typical values for angle of internal friction?
A: Typical values range from 0.35 to 0.87 radians (20° to 50°) depending on soil type, with higher values indicating more frictional resistance.

Q4: When is this formula most applicable?
A: This formula is particularly useful for foundation design in cohesive-frictional soils where both cohesion and internal friction contribute to shear strength.

Q5: Are there limitations to Meyerhof's Analysis?
A: The formula may be less accurate for very soft soils, highly anisotropic conditions, or when significant drainage effects are present.

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