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Length Given Maximum Bending Stress at Proof Load of Leaf Spring Calculator

Formula Used:

\[ L = \sqrt{\frac{4 \times t \times E \times \delta}{f_{proof\ load}}} \]

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Pa

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1. What is the Length Calculation Formula?

The formula calculates the length of a leaf spring based on material properties and loading conditions. It's derived from bending stress equations and accounts for the spring's deflection under proof load.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L = \sqrt{\frac{4 \times t \times E \times \delta}{f_{proof\ load}}} \]

Where:

Explanation: The formula calculates the required spring length to achieve a specific deflection while maintaining stress below the proof load limit.

3. Importance of Length Calculation

Details: Accurate length calculation is crucial for proper spring design, ensuring optimal performance, stress distribution, and safety under specified loading conditions.

4. Using the Calculator

Tips: Enter all values in consistent SI units (meters for length dimensions, Pascals for stress and modulus). All input values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is proof load in spring design?
A: Proof load is the maximum load a spring can withstand without permanent deformation, typically used as a safety limit in design calculations.

Q2: Why is Young's Modulus important in this calculation?
A: Young's Modulus represents the material's stiffness, directly affecting how much the spring will deflect under load and thus influencing the required length.

Q3: Can this formula be used for all types of springs?
A: This specific formula is designed for leaf springs experiencing bending stress. Different spring types (coil, torsion) require different calculation methods.

Q4: What factors affect maximum bending stress?
A: Material properties, cross-sectional dimensions, load magnitude, and support conditions all influence the maximum bending stress in a spring.

Q5: How does deflection relate to spring length?
A: For a given load and material, longer springs typically exhibit greater deflection, making length a critical parameter in spring design for specific deflection requirements.

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