Length Of Strip From Outer End To Inner End Given Strain Energy Stored In Spring Calculator

Formula Used:

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

Strain Energy In Spiral Spring (U):

Joule

Modulus Of Elasticity Of Spiral Spring (E):

Pascal

Width Of Strip Of Spiral Spring (b):

Meter

Thickness Of Strip Of Spring (t):

Meter

Bending Moment In Spiral Spring (M):

Newton Meter

Length Of Spiral Spring Strip (l):

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1. What Is The Length Of Strip From Outer End To Inner End Given Strain Energy Stored In Spring?

The Length Of Spiral Spring Strip is defined as the length of the thin strip of which spiral spring coils are manufactured. This calculation is essential for determining the appropriate dimensions of spiral springs based on strain energy storage capacity.

2. How Does The Calculator Work?

The calculator uses the formula:

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

Where:

\( l \) — Length of Spiral Spring Strip (Meter)
\( U \) — Strain energy in spiral spring (Joule)
\( E \) — Modulus of elasticity of spiral spring (Pascal)
\( b \) — Width of Strip of Spiral Spring (Meter)
\( t \) — Thickness of Strip of Spring (Meter)
\( M \) — Bending moment in spiral spring (Newton Meter)

Explanation: This formula calculates the required length of a spiral spring strip based on the strain energy it needs to store, material properties, and geometric dimensions.

3. Importance Of Length Calculation

Details: Accurate length calculation is crucial for designing spiral springs that can store the required amount of strain energy while maintaining structural integrity and performance characteristics.

4. Using The Calculator

Tips: Enter all values in appropriate SI units. Ensure all input values are positive numbers. The calculator will compute the length based on the provided parameters.

5. Frequently Asked Questions (FAQ)

Q1: What is strain energy in a spiral spring?
A: Strain energy is the energy stored in a spiral spring when it is deformed by external forces, which can be released when the spring returns to its original shape.

Q2: Why is modulus of elasticity important in this calculation?
A: Modulus of elasticity represents the material's stiffness and determines how much it will deform under stress, directly affecting the energy storage capacity.

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

Q4: What is bending moment in this context?
A: Bending moment is the internal moment that causes bending in the spring strip, representing the applied torque or force that creates the spiral deformation.

Q5: Are there limitations to this formula?
A: This formula assumes uniform material properties, perfect geometry, and linear elastic behavior, which may not account for all real-world conditions.