1. What is the Bending Moment Formula?

The bending moment formula (M = σI/y) calculates the bending moment in aluminum extrusions, where σ is the stress, I is the moment of inertia, and y is the distance from the neutral axis.

2. How Does the Calculator Work?

The calculator uses the bending moment formula:

Where:

• \( M \) — Bending moment (N·m)
• \( \sigma \) — Stress (Pa)
• \( I \) — Moment of inertia (m⁴)
• \( y \) — Distance from neutral axis (m)

Explanation: This formula calculates the internal moment that causes bending in aluminum extrusions under load.

3. Importance of Bending Moment Calculation

Details: Accurate bending moment calculation is crucial for structural design, ensuring aluminum extrusions can withstand applied loads without failure.

4. Using the Calculator

Tips: Enter stress in Pascals (Pa), moment of inertia in meters to the fourth power (m⁴), and distance in meters (m). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical stress value for aluminum?
A: Yield stress for aluminum alloys typically ranges from 100-500 MPa, depending on the specific alloy and temper.

Q2: How is moment of inertia calculated for extrusions?
A: Moment of inertia depends on the cross-sectional shape and is calculated using specific formulas for each geometry.

Q3: Where is the neutral axis located?
A: The neutral axis is typically at the centroid of the cross-section for symmetric extrusions.

Q4: What are common applications of this calculation?
A: This calculation is used in structural engineering, architectural design, and manufacturing of aluminum frameworks.

Q5: How does temperature affect aluminum bending?
A: Aluminum's mechanical properties, including yield strength, decrease with increasing temperature.