1. What is the Equivalent Bending Moment?

The Equivalent Bending Moment is a bending moment which, acting alone, would produce in a circular shaft a normal stress equal to the maximum normal stress due to combined loading.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( M_e \) — Equivalent Bending Moment (Newton Meter)
• \( \sigma_b \) — Bending Stress (Pascal)
• \( \Phi \) — Diameter of Circular Shaft (Meter)
• \( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: This formula calculates the equivalent bending moment that would produce the same maximum bending stress in a circular shaft.

3. Importance of Equivalent Bending Moment Calculation

Details: Calculating the equivalent bending moment is crucial for shaft design and analysis, ensuring that shafts can withstand combined loading conditions without failure.

4. Using the Calculator

Tips: Enter bending stress in Pascal and diameter in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is bending stress?
A: Bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Q2: Why is the diameter important in this calculation?
A: The diameter directly affects the shaft's moment of inertia and section modulus, which determine its resistance to bending.

Q3: What units should be used for input values?
A: Bending stress should be in Pascal (Pa) and diameter in meters (m) for consistent SI units.

Q4: Can this formula be used for non-circular shafts?
A: No, this specific formula is derived for circular shafts. Different cross-sections have different section modulus formulas.

Q5: What is the significance of the constant 32/π in the formula?
A: This comes from the section modulus formula for circular shafts (Z = πΦ³/32), which relates bending moment to bending stress.