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Width of Strip given Bending Stress induced at Outer End of Spring Calculator

Formula Used:

\[ b = \frac{12 \times M}{\sigma_b \times t^2} \]

N·m
Pa
m

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1. What is the Width of Strip Formula?

The formula calculates the width of a spiral spring strip based on bending moment, bending stress, and strip thickness. It's derived from bending stress equations for rectangular cross-sections and is essential in spring design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ b = \frac{12 \times M}{\sigma_b \times t^2} \]

Where:

Explanation: The formula calculates the required width of a spring strip to withstand a given bending moment while maintaining acceptable bending stress levels.

3. Importance of Width Calculation

Details: Accurate width calculation is crucial for designing spiral springs that can withstand specified loads without failure, ensuring proper spring performance and longevity.

4. Using the Calculator

Tips: Enter bending moment in N·m, bending stress in Pa, and thickness in meters. All values must be positive and non-zero for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What units should be used for input values?
A: Use consistent SI units: N·m for bending moment, Pa for bending stress, and m for thickness measurements.

Q2: How does strip width affect spring performance?
A: Wider strips generally provide greater resistance to bending moments but may reduce flexibility and increase spring stiffness.

Q3: What is typical bending stress for spring materials?
A: Bending stress values vary by material but typically range from 200-1000 MPa for common spring steels, depending on heat treatment and quality.

Q4: Can this formula be used for other spring types?
A: This specific formula is designed for spiral springs with rectangular cross-sections. Other spring types may require different calculations.

Q5: What safety factors should be considered?
A: Always apply appropriate safety factors (typically 1.5-3.0) to calculated values to account for material variations, loading conditions, and manufacturing tolerances.

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