1. What is Shear Force and Bending Moment Calculation?

Definition: This calculator determines the bending moment in a beam based on the shear force and the distance over which it acts.

Purpose: It helps engineers and designers analyze beam behavior under various loading conditions.

2. How Does the Calculator Work?

The calculator uses the fundamental relationship:

Where:

• \( M \) — Bending moment (Newton meters, N m)
• \( V \) — Shear force (Newtons, N)
• \( dx \) — Infinitesimal length element (meters, m)

Simplified Calculation: For constant shear force over a given distance, the bending moment equals the shear force multiplied by the distance.

3. Importance of Bending Moment Calculation

Details: Bending moment calculations are crucial for determining beam strength, selecting appropriate materials, and ensuring structural safety.

4. Using the Calculator

Tips: Enter the shear force in Newtons and the distance in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is shear force?
A: Shear force is the internal force acting perpendicular to the longitudinal axis of a beam.

Q2: What is bending moment?
A: Bending moment is the reaction induced in a structural element when an external force causes the element to bend.

Q3: How does distance affect bending moment?
A: Bending moment increases with distance from the point of force application.

Q4: What if the shear force varies along the beam?
A: For variable shear forces, integration is required over the length of the beam.

Q5: What units should I use?
A: Use Newtons for force and meters for distance to get bending moment in Newton-meters (N m).