1. What is the Diameter of Tyre Formula?

The formula calculates the diameter of a tyre based on wheel diameter, hoop stress, and Young's modulus. It accounts for the mechanical properties and stress distribution in tyre materials.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( d_{tyre} \) — Diameter of tyre (m)
• \( D_{wheel} \) — Wheel diameter (m)
• \( \sigma_h \) — Hoop stress (Pa)
• \( E \) — Young's modulus (Pa)

Explanation: The formula considers the relationship between wheel diameter, material stress properties, and the resulting tyre diameter.

3. Importance of Tyre Diameter Calculation

Details: Accurate tyre diameter calculation is crucial for proper vehicle performance, safety, and ensuring compatibility between tyres and wheels.

4. Using the Calculator

Tips: Enter wheel diameter in meters, hoop stress in Pascals, and Young's modulus in Pascals. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is tyre diameter less than wheel diameter?
A: The tyre diameter is slightly less than the wheel diameter due to the elastic deformation and stress distribution in the tyre material.

Q2: What factors affect hoop stress in tyres?
A: Hoop stress is influenced by internal pressure, material properties, temperature changes, and the tyre's geometric dimensions.

Q3: How does Young's modulus affect tyre diameter?
A: Higher Young's modulus indicates stiffer material, which results in less deformation and closer tyre diameter to wheel diameter.

Q4: When is this calculation most important?
A: This calculation is particularly important during tyre design, selection, and when analyzing thermal effects on tyre performance.

Q5: Are there limitations to this formula?
A: The formula assumes linear elastic material behavior and may not account for all complex stress distributions in real-world tyre applications.