1. What is the Bending Moment Equation?

The bending moment equation calculates the internal moment in a simply supported beam with a uniformly distributed load. It helps engineers determine the maximum stress and deflection in structural elements.

2. How Does the Calculator Work?

The calculator uses the bending moment equation:

Where:

• \( w \) — Uniformly distributed load (lb/ft)
• \( x \) — Position along the beam (ft)
• \( L \) — Length of the beam (ft)

Explanation: The equation calculates the bending moment at any point x along a simply supported beam carrying a uniformly distributed load w.

3. Importance of Bending Moment Calculation

Details: Bending moment calculation is essential for structural design, ensuring beams and other structural elements can safely support applied loads without excessive deflection or failure.

4. Using the Calculator

Tips: Enter load in lb/ft, position and length in feet. All values must be valid (load > 0, position between 0 and length, length > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is a bending moment?
A: A bending moment is the internal moment that causes a beam to bend. It's a measure of the bending effect due to external forces.

Q2: Where does maximum bending moment occur?
A: For a simply supported beam with uniform load, maximum bending moment occurs at the center (x = L/2).

Q3: What are the units of bending moment?
A: Bending moment is typically measured in pound-feet (lb·ft) or Newton-meters (N·m).

Q4: Can this equation be used for other beam types?
A: This specific equation is for simply supported beams with uniform load. Other support conditions and load types require different equations.

Q5: How does bending moment relate to beam design?
A: The maximum bending moment determines the required section modulus of a beam, which influences the selection of appropriate beam size and material.