1. What is the Modulus of Rigidity of Spring?

The Modulus of Rigidity of Spring is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is and is a fundamental property in spring design and analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( G \) — Modulus of Rigidity of Spring (Pa)
• \( P \) — Axial Load (N)
• \( R \) — Mean Radius Spring Coil (m)
• \( N \) — Number of Coils
• \( U \) — Strain Energy (J)
• \( d \) — Diameter of Spring Wire (m)

Explanation: This formula calculates the modulus of rigidity based on spring geometry, applied load, and stored strain energy.

3. Importance of Modulus of Rigidity Calculation

Details: Accurate calculation of modulus of rigidity is crucial for spring design, performance analysis, and ensuring proper functionality in mechanical systems.

4. Using the Calculator

Tips: Enter all values in appropriate units (N for load, m for dimensions, J for energy). All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for modulus of rigidity in springs?
A: The modulus of rigidity varies by material but typically ranges from 20-90 GPa for common spring materials.

Q2: How does wire diameter affect the modulus of rigidity?
A: The modulus of rigidity is inversely proportional to the fourth power of wire diameter, making it highly sensitive to diameter changes.

Q3: What factors can affect the accuracy of this calculation?
A: Material homogeneity, temperature variations, and manufacturing tolerances can affect the accuracy of the calculation.

Q4: Can this formula be used for all types of springs?
A: This formula is primarily designed for helical compression and extension springs with circular cross-section wire.

Q5: How does the number of coils affect the modulus of rigidity?
A: The modulus of rigidity is directly proportional to the number of active coils in the spring.