Modulus of Elasticity of Spring Wire Given Strain Energy Stored in Spring Calculator

Formula Used:

\[ E = \frac{6 \times (M^2) \times l}{U \times b \times t^3} \]

Bending Moment in Spiral Spring (M):

N·m

Length of Spiral Spring Strip (l):

Strain Energy in Spiral Spring (U):

Width of Strip of Spiral Spring (b):

Thickness of Strip of Spring (t):

Modulus of Elasticity of Spiral Spring (E):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Modulus of Elasticity of Spring Wire?

The Modulus of Elasticity of spiral spring is a quantity that measures the spring's resistance to being deformed elastically when stress is applied to it. It represents the stiffness of the spring material.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ E = \frac{6 \times (M^2) \times l}{U \times b \times t^3} \]

Where:

\( E \) — Modulus of elasticity of spiral spring (Pa)
\( M \) — Bending moment in spiral spring (N·m)
\( l \) — Length of spiral spring strip (m)
\( U \) — Strain energy in spiral spring (J)
\( b \) — Width of strip of spiral spring (m)
\( t \) — Thickness of strip of spring (m)

Explanation: This formula calculates the modulus of elasticity based on the bending moment, dimensions of the spring strip, and the strain energy stored in the spring.

3. Importance of Modulus of Elasticity Calculation

Details: Calculating the modulus of elasticity is crucial for designing springs with specific mechanical properties, ensuring proper performance under load, and predicting the spring's behavior in various applications.

4. Using the Calculator

Tips: Enter all values in appropriate SI units. Ensure bending moment, length, strain energy, width, and thickness are all positive values greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of modulus of elasticity in spring design?
A: The modulus of elasticity determines how much a spring will deform under load and how much energy it can store, making it fundamental to spring performance.

Q2: How does strip thickness affect the modulus calculation?
A: Thickness has a cubic relationship in the denominator, meaning small changes in thickness significantly impact the calculated modulus of elasticity.

Q3: What are typical modulus values for spring materials?
A: Common spring steels have modulus values around 200-210 GPa, while other materials like bronze or titanium have different modulus values.

Q4: Can this formula be used for all types of springs?
A: This specific formula is designed for spiral springs where bending is the primary deformation mode.

Q5: How accurate is this calculation method?
A: The calculation provides a theoretical value based on ideal conditions. Actual values may vary due to material imperfections and manufacturing variations.