Width of Strip given Deflection of one End of Spring Calculator

Formula Used:

\[ b = \frac{12 \times M \times l \times r}{E \times \delta \times t^3} \]

Bending Moment in Spiral Spring (M):

N·m

Length of Spiral Spring Strip (l):

Distance of CG of Spiral Spring (r):

Modulus of Elasticity of Spiral Spring (E):

Deflection of Spiral Spring (δ):

Thickness of Strip of Spring (t):

Width of Strip of Spiral Spring (b):

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1. What is the Width of Strip given Deflection Formula?

The formula calculates the width of a spiral spring strip based on bending moment, length, distance from center of gravity, modulus of elasticity, deflection, and thickness. It's essential for designing spiral springs with specific deflection characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ b = \frac{12 \times M \times l \times r}{E \times \delta \times t^3} \]

Where:

\( b \) — Width of Strip of Spiral Spring (m)
\( M \) — Bending moment in spiral spring (N·m)
\( l \) — Length of Spiral Spring Strip (m)
\( r \) — Distance of CG of Spiral Spring (m)
\( E \) — Modulus of elasticity of spiral spring (Pa)
\( \delta \) — Deflection of Spiral Spring (m)
\( t \) — Thickness of Strip of Spring (m)

Explanation: The formula calculates the required width of a spiral spring strip to achieve a specific deflection under given loading conditions and material properties.

3. Importance of Width Calculation

Details: Accurate width calculation is crucial for designing spiral springs that meet specific deflection requirements while maintaining structural integrity and performance characteristics.

4. Using the Calculator

Tips: Enter all values in consistent SI units. Ensure all input values are positive and non-zero for accurate calculation results.

5. Frequently Asked Questions (FAQ)

Q1: What is a spiral spring?
A: A spiral spring is a mechanical spring made from a flat strip of material wound in a spiral pattern, used to store and release energy through torsional deflection.

Q2: Why is the width calculation important?
A: The width directly affects the spring's stiffness, load capacity, and deflection characteristics, making it a critical design parameter.

Q3: What materials are commonly used for spiral springs?
A: Common materials include spring steel, stainless steel, phosphor bronze, and beryllium copper, chosen based on required strength, corrosion resistance, and fatigue life.

Q4: How does thickness affect the width calculation?
A: Thickness has a cubic relationship in the denominator, meaning small changes in thickness significantly impact the required width for a given deflection.

Q5: What are typical applications of spiral springs?
A: Spiral springs are used in clocks, watches, retractable cords, toys, and various mechanical devices requiring compact energy storage and controlled release.