Maximum Bending Stress Induced At Outer End Of Spring Calculator

Bending Stress Formula:

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

Maximum Bending Stress (σb):

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1. What is Maximum Bending Stress in Spiral Spring?

Maximum bending stress in a spiral spring is the highest normal stress that occurs at the outer end of the spring when subjected to bending loads. This stress is critical for determining the spring's structural integrity and fatigue life.

2. How Does the Calculator Work?

The calculator uses the bending stress formula:

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

Where:

\( \sigma_b \) — Maximum bending stress (Pa)
\( M \) — Bending moment (N·m)
\( b \) — Width of strip (m)
\( t \) — Thickness of strip (m)

Explanation: The formula calculates the maximum bending stress at the outer fiber of the spring strip based on the applied bending moment and the cross-sectional dimensions.

3. Importance of Bending Stress Calculation

Details: Calculating maximum bending stress is essential for spring design to ensure the material can withstand applied loads without permanent deformation or failure, and to predict the spring's service life under cyclic loading conditions.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Where does maximum bending stress occur in a spiral spring?
A: Maximum bending stress occurs at the outer end of the spring where the bending moment is greatest and at the outer fiber of the cross-section.

Q2: What factors affect bending stress in spiral springs?
A: Bending stress is primarily affected by the applied bending moment, strip width, and strip thickness. Material properties also play a role in stress distribution.

Q3: How does strip thickness affect bending stress?
A: Bending stress is inversely proportional to the square of thickness, making thickness the most significant factor in reducing bending stress.

Q4: What are typical units for these calculations?
A: Bending moment in N·m, dimensions in meters, and resulting stress in Pascals (Pa) or Megapascals (MPa).

Q5: When is this calculation most important?
A: This calculation is critical during spring design phase, material selection, and when verifying spring performance under expected operating conditions.