1. What is Bending Moment?

Bending moment (M) is a measure of the bending effect that occurs when an external force is applied to a structural element, causing it to bend. It's calculated as the integral of shear force (V) with respect to distance (x) along the beam.

2. How Does the Calculator Work?

The calculator uses the bending moment formula:

Where:

• \( M \) — Bending moment (N·m)
• \( V \) — Shear force (N)
• \( x \) — Distance along beam (m)

Explanation: For constant shear force, the bending moment simplifies to M = V × x. The calculator assumes constant shear force for this calculation.

3. Importance of Bending Moment Calculation

Details: Accurate bending moment calculation is crucial for structural engineering design, ensuring beams and other structural elements can withstand applied loads without excessive deformation or failure.

4. Using the Calculator

Tips: Enter shear force in Newtons (N) and distance in meters (m). Both values must be valid (distance > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between bending moment and shear force?
A: Shear force is the force perpendicular to the beam's axis, while bending moment is the rotational effect that causes bending.

Q2: When is the bending moment maximum in a beam?
A: Maximum bending moment typically occurs where shear force is zero or changes sign, often at supports or under concentrated loads.

Q3: What are the units of bending moment?
A: Bending moment is measured in Newton-meters (N·m) in the SI system.

Q4: How does distributed load affect bending moment?
A: Distributed loads create parabolic bending moment diagrams, while concentrated loads create triangular or trapezoidal diagrams.

Q5: Why is bending moment important in beam design?
A: Bending moment determines the required section modulus and reinforcement needed to prevent structural failure under applied loads.