Width Of Strip Given Strain Energy Stored In Spring Calculator

Formula Used:

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

Bending Moment in Spiral Spring (M):

N·m

Length of Spiral Spring Strip (l):

Modulus of Elasticity of Spiral Spring (E):

Strain Energy in Spiral Spring (U):

Thickness of Strip of Spring (t):

Width of Strip of Spiral Spring (b):

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1. What is the Width of Strip Calculation?

The width of strip calculation determines the required thickness in the lateral direction for a spiral spring strip based on bending moment, length, modulus of elasticity, strain energy, and strip thickness. This calculation is essential for designing spiral springs with optimal energy storage capacity.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula calculates the required width of a spiral spring strip based on the energy storage requirements and material properties.

3. Importance of Width Calculation

Details: Accurate width calculation is crucial for designing spiral springs that can store the required amount of strain energy while maintaining structural integrity and preventing failure under load.

4. Using the Calculator

Tips: Enter all values in appropriate units (bending moment in N·m, length in meters, modulus in Pa, energy in Joules, thickness in meters). All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is the width calculation important for spiral springs?
A: The width directly affects the spring's energy storage capacity and mechanical strength. Proper width calculation ensures optimal performance and prevents spring failure.

Q2: What factors influence the width requirement?
A: Bending moment, material properties (modulus of elasticity), desired strain energy, strip length, and thickness all influence the required width.

Q3: How does strip thickness affect the width calculation?
A: Thickness has a cubic relationship in the denominator, meaning small changes in thickness significantly affect the required width calculation.

Q4: What are typical applications of spiral springs?
A: Spiral springs are commonly used in clocks, watches, retractable cords, toys, and various mechanical devices requiring energy storage and release.

Q5: How accurate is this calculation method?
A: This formula provides a theoretical calculation based on elastic deformation principles. Actual manufacturing may require adjustments based on material behavior and manufacturing tolerances.