1. What is the Equation for Force and Torque in Beam Bending?

Definition: These equations calculate the bending moment and shear force in beam structures.

Purpose: Essential for structural engineering to analyze and design beams that can withstand applied loads.

2. How Do the Equations Work?

The calculator uses the formulas:

Where:

• \( M \) — Bending moment (N m)
• \( F \) — Applied force (N)
• \( d \) — Distance from force to point of interest (m)
• \( V \) — Shear force (N)

Explanation: The moment is the product of force and perpendicular distance, while shear force equals the applied force.

3. Importance of Beam Bending Calculations

Details: Proper calculation ensures structural integrity, prevents beam failure, and helps in material selection.

4. Using the Calculator

Tips: Enter the applied force in newtons and the distance in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between moment and shear?
A: Moment causes bending, while shear causes vertical sliding of beam sections.

Q2: When would the shear force not equal the applied force?
A: In more complex loading scenarios with multiple forces or distributed loads.

Q3: What units should I use?
A: Consistent SI units (N for force, m for distance) are recommended.

Q4: How does this apply to real beams?
A: This is the fundamental calculation that gets expanded for different support conditions and load types.

Q5: What about beam deflection?
A: Deflection requires additional calculations based on moment, beam geometry, and material properties.