1. What is Bending Stress?

Bending stress is the internal stress induced in a beam when an external moment is applied, causing the beam to bend. It varies linearly across the cross-section, with maximum stress occurring at the outermost fibers.

2. How Does the Calculator Work?

The calculator uses the bending stress formula:

Where:

• \( \sigma_b \) — Bending stress (Pa)
• \( M \) — Bending moment (Nm)
• \( y \) — Distance from neutral axis (m)
• \( I \) — Moment of inertia (m⁴)

Explanation: The formula calculates the stress at any point in the beam's cross-section based on the applied bending moment and the beam's geometric properties.

3. Importance of Bending Stress Calculation

Details: Calculating bending stress is essential for structural engineering design to ensure beams and other structural elements can withstand applied loads without failure.

4. Using the Calculator

Tips: Enter bending moment in Nm, distance from neutral axis in meters, and moment of inertia in m⁴. All values must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the neutral axis?
A: The neutral axis is the line in the cross-section of a beam where there is no tension or compression during bending.

Q2: How does bending moment affect stress?
A: Bending stress is directly proportional to the bending moment - doubling the moment doubles the stress.

Q3: What is moment of inertia?
A: Moment of inertia is a geometric property that measures a beam's resistance to bending, depending on its cross-sectional shape and size.

Q4: Where is maximum bending stress located?
A: Maximum bending stress occurs at the point farthest from the neutral axis (y_max) in the cross-section.

Q5: What units should be used?
A: Use consistent SI units: Nm for moment, meters for distance, m⁴ for moment of inertia, resulting in Pa for stress.