Maximum Moment Formula:
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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.
The calculator uses the maximum moment formula:
Where:
Explanation: This formula calculates the maximum internal moment in a simply supported beam subjected to a uniformly distributed load.
Details: Calculating bending moments is crucial for structural design, ensuring beams can safely support applied loads without failure or excessive deflection.
Tips: Enter the uniform load in N/m and beam length in meters. All values must be positive numbers greater than zero.
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.