1. What is Stress from Bending Moment?

Definition: This calculator determines the stress caused by a bending moment in a structural member.

Purpose: It helps engineers and designers evaluate whether a structural element can withstand applied bending loads.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \sigma \) — Stress (psi)
• \( M \) — Bending moment (lb-in)
• \( c \) — Distance to outer fiber (in)
• \( I \) — Moment of inertia (in⁴)

Explanation: The bending moment multiplied by the distance to the outer fiber gives the bending stress, which is normalized by the moment of inertia.

3. Importance of Stress Calculation

Details: Proper stress calculation ensures structural integrity and prevents material failure under bending loads.

4. Using the Calculator

Tips: Enter the bending moment in lb-in, distance to outer fiber in inches, and moment of inertia in in⁴. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the distance to outer fiber (c)?
A: This is the distance from the neutral axis to the outermost fiber of the cross-section, where stress is maximum.

Q2: How do I find the moment of inertia (I)?
A: Moment of inertia depends on the cross-sectional shape and can be calculated or found in engineering tables.

Q3: What units should I use?
A: Consistent units are critical. This calculator uses lb-in for moment, inches for distance, and in⁴ for moment of inertia.

Q4: Does this calculate tensile or compressive stress?
A: The formula gives the maximum stress, which could be tensile or compressive depending on which side of the neutral axis you're evaluating.

Q5: When would this calculation be used?
A: This is fundamental for beam design, structural analysis, and mechanical component design under bending loads.