Width Of Strip Given Deflection Of One End Of Spring With Respect To Other End 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 Of One End Of Spring With Respect To Other End 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 provides the necessary width to achieve a specific deflection under given loading conditions.

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 the spiral spring strip to achieve a specific deflection under given bending moment and material properties.

3. Importance Of Width Calculation

Details: Accurate width calculation is crucial for designing spiral springs with specific deflection characteristics, ensuring proper performance in mechanical systems and applications.

4. Using The Calculator

Tips: Enter all values in appropriate units (meters for length dimensions, N·m for bending moment, Pa for modulus of elasticity). All values must be positive and non-zero.

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 shape, used to store and release energy through torsional deflection.

Q2: Why is width calculation important in spring design?
A: Width calculation determines the spring's stiffness and load-bearing capacity, ensuring it meets specific deflection requirements under given loading conditions.

Q3: What factors affect the width calculation?
A: Bending moment, material properties (modulus of elasticity), geometric dimensions (length, thickness, CG distance), and required deflection all influence the width calculation.

Q4: Can this formula be used for different materials?
A: Yes, as long as the correct modulus of elasticity for the specific material is used in the calculation.

Q5: What are typical applications of spiral springs?
A: Spiral springs are commonly used in clocks, watches, mechanical toys, retractable cords, and various precision instruments where controlled torsional energy storage is required.