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Modulus of Rigidity given Stiffness of Helical Spring Calculator

Formula Used:

\[ G = \frac{64 \times k \times R^3 \times N}{d^4} \]

N/m
m
m

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1. What is Modulus of Rigidity?

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.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ G = \frac{64 \times k \times R^3 \times N}{d^4} \]

Where:

Explanation: This formula calculates the modulus of rigidity based on the spring's stiffness, mean radius, number of coils, and wire diameter.

3. Importance of Modulus of Rigidity Calculation

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

4. Using the Calculator

Tips: Enter stiffness in N/m, mean radius in meters, number of coils, and wire diameter in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of modulus of rigidity in spring design?
A: Modulus of rigidity determines the spring's resistance to shear deformation and is essential for calculating spring deflection and stress.

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 are typical values for modulus of rigidity?
A: For most spring steels, modulus of rigidity ranges from 75-85 GPa, but varies with material composition.

Q4: How does number of coils affect the calculation?
A: Modulus of rigidity is directly proportional to the number of coils - more coils result in higher rigidity.

Q5: Can this formula be used for all types of springs?
A: This formula is specifically designed for helical springs and may not be accurate for other spring types.

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