Strain Energy Stored In Spiral Spring Calculator

Formula Used:

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

Bending Moment in Spiral Spring (M):

N·m

Length of Spiral Spring Strip (l):

Modulus of Elasticity of Spiral Spring (E):

Width of Strip of Spiral Spring (b):

Thickness of Strip of Spring (t):

Strain Energy in Spiral Spring (U):

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1. What is Strain Energy in Spiral Spring?

Strain energy in spiral spring is the energy stored in a spiral spring by virtue of its deformation. It represents the work done in deforming the spring and is released when the spring returns to its original shape.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( U \) — Strain energy in spiral spring (J)
\( M \) — Bending moment in spiral spring (N·m)
\( l \) — Length of spiral spring strip (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 strain energy stored in a spiral spring based on its material properties and geometric dimensions.

3. Importance of Strain Energy Calculation

Details: Calculating strain energy is crucial for understanding the energy storage capacity of spiral springs, which is essential in various mechanical applications such as clocks, toys, and precision instruments.

4. Using the Calculator

Tips: Enter all values in appropriate SI units. Ensure all inputs are positive values for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the bending moment in this calculation?
A: The bending moment represents the internal moment that causes the spring to bend and store energy. Higher bending moments result in greater strain energy storage.

Q2: How does material elasticity affect strain energy?
A: Materials with higher modulus of elasticity (stiffer materials) will store less strain energy for the same deformation compared to more flexible materials.

Q3: Why is thickness raised to the third power in the formula?
A: The thickness appears cubed because the moment of inertia (which affects bending stiffness) for a rectangular cross-section is proportional to the cube of the thickness.

Q4: What are typical applications of spiral springs?
A: Spiral springs are commonly used in mechanical watches, toys, retractable cords, and various precision instruments where compact energy storage is required.

Q5: How does spring length affect energy storage?
A: Longer springs can store more energy as they allow for greater deformation and energy absorption capacity.