1. What is Internal Bending Moment?

The internal bending moment is a measure of the bending effect that occurs when external forces are applied to a structural element. It's calculated by integrating the shear force distribution along the length of the element.

2. How Does the Calculator Work?

The calculator uses the fundamental relationship:

Where:

• \( M \) — Internal bending moment (Newton-meters)
• \( V \) — Shear force (Newtons)
• \( dx \) — Element length (meters)

Explanation: For simple cases with constant shear force, the bending moment is simply the product of shear force and element length.

3. Importance of Bending Moment Calculation

Details: Bending moment calculation is essential for structural design, determining required material strength, and ensuring structural integrity under load.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between bending moment and shear force?
A: Shear force is the internal force parallel to the cross-section, while bending moment is the rotational effect caused by forces acting at a distance from the section.

Q2: How does distributed load affect bending moment?
A: Distributed loads create non-linear bending moment diagrams, requiring integration of the varying shear force.

Q3: What are typical units for bending moment?
A: Newton-meters (N·m) in SI units or pound-feet (lb·ft) in imperial units.

Q4: How is bending moment related to beam deflection?
A: Beam deflection is calculated by double integration of the bending moment distribution along the beam's length.

Q5: What's the sign convention for bending moment?
A: Typically, positive moment causes compression on top fibers, though conventions may vary by discipline.