1. What Is Bending Moment Calculation?

Bending moment calculation determines the internal moment that causes a beam to bend under applied loads. It's a fundamental concept in structural engineering used to design beams that can safely support loads without failing.

2. How Does The Calculator Work?

The calculator uses the bending moment equation for a simply supported beam with uniform load:

Where:

• \( M(x) \) — Bending moment at distance x from support (Nm)
• \( R_A \) — Reaction force at support A (N)
• \( w \) — Uniformly distributed load (N/m)
• \( x \) — Distance from support A (m)

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

3. Importance Of Bending Moment Calculation

Details: Accurate bending moment calculation is crucial for structural design, ensuring beams have sufficient strength and stiffness to resist applied loads without excessive deflection or failure.

4. Using The Calculator

Tips: Enter the reaction force in Newtons, uniform load in N/m, and distance from support in meters. All values must be non-negative.

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 horizontally.

Q2: How is the reaction force R_A calculated?
A: For a simply supported beam with uniform load, R_A = (w × L)/2, where L is the span length.

Q3: 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).

Q4: What units should I use?
A: Use consistent units: Newtons for force, meters for distance, and Newton-meters for bending moment.

Q5: Can this calculator be used for other beam types?
A: This specific equation is for simply supported beams with uniform load. Other beam configurations require different equations.