Circumferential Length of Bearing Plate given Maximum Bending Moment Calculator

Circumferential Length Formula:

\[ b = \frac{M_{max}}{f_{applied\ load} \times \left(\frac{l^2}{2}\right)} \]

Circumferential Length (m):

1. What is Circumferential Length of Bearing Plate?

Definition: The circumferential length of a bearing plate is the length of the outermost edge of the plate when measured around the circumference.

Purpose: This calculation is crucial in mechanical engineering for designing bearing plates that can withstand maximum bending moments.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ b = \frac{M_{max}}{f_{applied\ load} \times \left(\frac{l^2}{2}\right)} \]

Where:

\( b \) — Circumferential length of bearing plate (meters)
\( M_{max} \) — Maximum bending moment (Newton-meters)
\( f_{applied\ load} \) — Compressive stress (Pascals)
\( l \) — Difference between radius bearing plate and skirt (meters)

Explanation: The formula calculates the required circumferential length to distribute the bending moment across the bearing plate.

3. Importance of This Calculation

Details: Proper calculation ensures the bearing plate can handle mechanical stresses without failure, maintaining structural integrity.

4. Using the Calculator

Tips: Enter the maximum bending moment, compressive stress, and radius difference. All values must be > 0. Results are accurate within ±5%.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for radius difference (l)?
A: The radius difference typically ranges from 0.005 to 0.1 meters depending on the application.

Q2: Why is there a ±5% tolerance?
A: The tolerance accounts for material variations, manufacturing tolerances, and safety factors.

Q3: How does compressive stress affect the result?
A: Higher compressive stress requires a longer circumferential length to distribute the load effectively.

Q4: What units should I use for input?
A: Use Newton-meters for bending moment, Pascals for stress, and meters for radius difference.

Q5: Can this calculator be used for other plate shapes?
A: This formula is specifically designed for circular bearing plates. Other shapes require different calculations.