Thickness of Strip given Deflection of one end of Spring with respect to other end Calculator

Formula Used:

\[ t = \left( \frac{12 \cdot M \cdot l \cdot r}{E \cdot b \cdot \delta} \right)^{1/3} \]

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):

Deflection of Spiral Spring (δ):

Thickness of Strip of Spring (t):

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1. What is the Thickness of Strip of Spring?

The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured. It is a critical parameter that affects the spring's mechanical properties and performance.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t = \left( \frac{12 \cdot M \cdot l \cdot r}{E \cdot b \cdot \delta} \right)^{1/3} \]

Where:

\( t \) — Thickness of Strip of 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)
\( \delta \) — Deflection of Spiral Spring (m)

Explanation: This formula calculates the required thickness of the spring strip based on the bending moment, material properties, and deflection characteristics.

3. Importance of Thickness Calculation

Details: Accurate thickness calculation is crucial for designing spiral springs with the desired mechanical properties, ensuring proper functionality, and preventing failure under load.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure all inputs are positive values. The calculator will compute the thickness based on the provided parameters.

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 is a key factor in determining the required thickness.

Q2: How does modulus of elasticity affect the thickness?
A: Higher modulus of elasticity materials require less thickness to achieve the same deflection under a given load.

Q3: What happens if the deflection is too large?
A: Excessive deflection may cause permanent deformation or failure of the spring, making proper thickness calculation essential.

Q4: Are there limitations to this formula?
A: This formula assumes linear elastic behavior and may not account for all real-world factors like material imperfections or extreme conditions.

Q5: Can this calculator be used for other types of springs?
A: This specific formula is designed for spiral springs. Other spring types may require different calculations.