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 at the outermost fibers.

2. How Does the Calculator Work?

The calculator uses the bending stress formula:

Where:

• \( \sigma \) — Bending stress (Pa)
• \( M \) — Applied 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 moment and geometric properties.

3. Importance of Bending Stress Calculation

Details: Accurate bending stress calculation is crucial for structural design, ensuring beams can withstand applied loads without failure and determining appropriate dimensions and materials.

4. Using the Calculator

Tips: Enter moment in Nm, distance in meters, and moment of inertia in m⁴. All values must be positive and non-zero for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the neutral axis?
A: The neutral axis is the line through the cross-section where there is no tension or compression stress during bending.

Q2: How is moment of inertia calculated for a rectangular beam?
A: For a rectangular beam, \( I = \frac{b \cdot h^3}{12} \), where b is width and h is height.

Q3: Where does maximum bending stress occur?
A: Maximum bending stress occurs at the point farthest from the neutral axis (y = h/2 for rectangular beams).

Q4: What units should be used?
A: Use consistent SI units: Newtons for force, meters for distance, and Pascals for stress.

Q5: Can this formula be used for all beam types?
A: This formula applies to beams experiencing pure bending with linear elastic material behavior and small deformations.