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Calculate Bending Moment Of A Beam

Maximum Moment Formula:

\[ M_{max} = \frac{w L^2}{8} \]

N/m
m

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1. What is Maximum Bending Moment?

The maximum bending moment (M_max) is the highest internal moment that occurs in a beam under a given load. For a simply supported beam with a uniform load, the maximum moment occurs at the center of the beam.

2. How Does the Calculator Work?

The calculator uses the maximum moment formula:

\[ M_{max} = \frac{w L^2}{8} \]

Where:

Explanation: This formula calculates the maximum internal moment in a simply supported beam subjected to a uniformly distributed load.

3. Importance of Bending Moment Calculation

Details: Calculating bending moments is crucial for structural design, ensuring beams can safely support applied loads without failure or excessive deflection.

4. Using the Calculator

Tips: Enter the uniform load in N/m and beam length in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a simply supported beam?
A: A beam supported at both ends, free to rotate at the supports but not free to translate vertically.

Q2: Does this formula work for other support conditions?
A: No, this specific formula applies only to simply supported beams with uniform loads. Other support conditions have different formulas.

Q3: What units should I use?
A: Use consistent units: load in N/m, length in m, and the result will be in Nm.

Q4: Can I use this for point loads?
A: No, this formula is specifically for uniformly distributed loads. Point loads require a different calculation.

Q5: Why is the maximum moment at the center?
A: For a simply supported beam with uniform load, the bending moment is maximum at the midpoint where shear force is zero.

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