Deflection of one End of Spring with Respect to Other End Calculator

Formula Used:

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

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):

Width of Strip of Spiral Spring (b):

Thickness of Strip of Spring (t):

Deflection of Spiral Spring (δ):

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1. What is Deflection of Spiral Spring?

Deflection of Spiral Spring is the deflection of one end of spring with respect to the other. It measures how much the spring deforms under applied bending moment and is crucial for understanding spring behavior in mechanical systems.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( \delta \) — Deflection 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 from Outer End (m)
\( E \) — Modulus of elasticity of spiral spring (Pa)
\( b \) — Width of Strip of Spiral Spring (m)
\( t \) — Thickness of Strip of Spring (m)

Explanation: The formula calculates the deflection based on the spring's material properties, geometry, and applied bending moment.

3. Importance of Deflection Calculation

Details: Accurate deflection calculation is essential for designing spiral springs in various applications, ensuring proper functionality, and preventing mechanical failure.

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 bending.

Q2: When is this deflection formula applicable?
A: This formula is applicable for small deflections where the material behaves elastically and the spring geometry follows the assumptions of the derivation.

Q3: What factors affect spiral spring deflection?
A: Deflection depends on bending moment, material properties (modulus of elasticity), and geometric parameters (length, width, thickness, and distance to center of gravity).

Q4: How does thickness affect deflection?
A: Deflection is inversely proportional to the cube of thickness, making thickness the most influential geometric parameter.

Q5: What are typical applications of spiral springs?
A: Spiral springs are commonly used in clocks, watches, toys, and various mechanical devices where rotational energy storage is required.