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Thickness of Bearing Plate inside Chair Calculator

Thickness of Bearing Plate Formula:

\[ t_{bp} = \sqrt{\frac{6 \times MaximumBM}{(W_{bp} - d_{bh}) \times f_{all}}} \]

1. What is Thickness of Bearing Plate inside Chair?

Definition: This calculator determines the required thickness of a bearing plate inside a chair based on bending moment, plate dimensions, and material properties.

Purpose: It helps mechanical engineers and designers ensure proper plate thickness to withstand bending stresses.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t_{bp} = \sqrt{\frac{6 \times MaximumBM}{(W_{bp} - d_{bh}) \times f_{all}}} \]

Where:

  • \( t_{bp} \) — Thickness of bearing plate
  • \( MaximumBM \) — Maximum bending moment
  • \( W_{bp} \) — Width of bearing plate
  • \( d_{bh} \) — Diameter of bolt hole
  • \( f_{all} \) — Allowable stress in bolt material

Explanation: The formula calculates the minimum required thickness to resist bending stresses while accounting for the reduced plate width due to bolt holes.

3. Importance of Bearing Plate Thickness Calculation

Details: Proper thickness calculation prevents plate failure, ensures structural integrity, and maintains safety factors in mechanical designs.

4. Using the Calculator

Tips: Enter all values with ±5% tolerance. Ensure width of plate is greater than bolt hole diameter. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is the bolt hole diameter subtracted from plate width?
A: This accounts for the reduced load-bearing area where the bolt hole weakens the plate.

Q2: What units should I use for inputs?
A: Consistent units must be used (e.g., all in mm and N/mm² or all in inches and psi).

Q3: How is the ±5% tolerance applied?
A: The calculation assumes input values may vary by ±5%, so the result includes this safety margin.

Q4: What affects the allowable stress value?
A: Material properties, temperature, and safety factors determine allowable stress.

Q5: When would I need to adjust the calculation?
A: For non-standard materials, extreme temperatures, or dynamic loading conditions.

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