Thickness Of Strip Given Bending Stress Induced At Outer End Of Spring Calculator

Formula Used:

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

Bending Moment In Spiral Spring (M):

N·m

Width Of Strip Of Spiral Spring (b):

Bending Stress In Spiral Spring (σ_b):

Thickness Of Strip Of Spring (t):

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1. What is the Thickness Of Strip Given Bending Stress Induced At Outer End Of Spring Calculation?

The thickness of strip calculation determines the appropriate thickness of the spring material based on the bending moment, width of the strip, and allowable bending stress. This ensures the spring can withstand applied loads without failure.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( t \) — Thickness of strip of spring (m)
\( M \) — Bending moment in spiral spring (N·m)
\( b \) — Width of strip of spiral spring (m)
\( \sigma_b \) — Bending stress in spiral spring (Pa)

Explanation: The formula calculates the required thickness to ensure the bending stress does not exceed the material's allowable limit under the given bending moment.

3. Importance of Thickness Calculation

Details: Proper thickness calculation is crucial for spring design to ensure mechanical integrity, prevent failure, and optimize material usage while maintaining safety factors.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why is thickness calculation important in spring design?
A: Proper thickness ensures the spring can withstand operational stresses without permanent deformation or failure, ensuring reliability and longevity.

Q2: What units should be used for input values?
A: Use consistent SI units: bending moment in N·m, width in meters, and bending stress in Pascals (N/m²) for accurate results.

Q3: How does bending stress affect spring performance?
A: Excessive bending stress can lead to permanent deformation or fracture, while insufficient thickness may cause the spring to fail under load.

Q4: Can this formula be used for all types of springs?
A: This formula is specifically designed for spiral springs where bending is the primary loading mechanism.

Q5: What safety factors should be considered?
A: Always apply appropriate safety factors based on application requirements, material properties, and operating conditions.