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Thickness of plates given strength of joint per pitch length of joint against crushing Calculator

Thickness of Plate Formula:

\[ t_{plate} = \frac{S}{n \times \sigma_c \times D_{rivet}} \]

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1. What is Thickness of Plates Calculator?

Definition: This calculator determines the required thickness of plates based on joint strength, number of rivets, crushing stress, and rivet diameter.

Purpose: It helps engineers and designers calculate proper plate thickness to withstand crushing forces in riveted joints.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t_{plate} = \frac{S}{n \times \sigma_c \times D_{rivet}} \]

Where:

  • \( t_{plate} \) — Thickness of plate (meters)
  • \( S \) — Strength of joint (Newtons)
  • \( n \) — Number of rivets per pitch
  • \( \sigma_c \) — Crushing stress (Pascals)
  • \( D_{rivet} \) — Rivet diameter (meters)

Explanation: The joint strength is divided by the product of number of rivets, crushing stress, and rivet diameter to determine minimum plate thickness.

3. Importance of Plate Thickness Calculation

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

4. Using the Calculator

Tips: Enter the joint strength in Newtons, number of rivets, crushing stress in Pascals, and rivet diameter in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is crushing stress?
A: Crushing stress is the compressive stress that occurs at the contact surface between plate and rivet when the joint is loaded.

Q2: Why include ±5% tolerance?
A: The tolerance accounts for material variations, manufacturing tolerances, and safety factors in engineering calculations.

Q3: How does rivet diameter affect thickness?
A: Larger diameter rivets distribute load over more area, allowing thinner plates for the same strength.

Q4: What's a typical crushing stress value?
A: For mild steel, crushing stress is typically 240-320 MPa, but varies by material and application.

Q5: Should I round up the calculated thickness?
A: Yes, always round up to the nearest standard plate thickness available in your region.

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