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Addendum Circle Diameter Of Gear Given Pitch Circle Diameter Calculator

Formula Used:

\[ \text{Addendum Circle Diameter} = 2 \times \text{Addendum} + \text{Pitch Circle Diameter} \]

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1. What is the Addendum Circle Diameter?

The Addendum Circle Diameter of a helical gear is defined as the circle touching the outermost points of the teeth of a circular gear wheel. It represents the maximum diameter of the gear including the tooth addendum.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Addendum Circle Diameter} = 2 \times \text{Addendum} + \text{Pitch Circle Diameter} \]

Where:

Explanation: This formula calculates the outer diameter of the gear by adding twice the addendum height to the pitch circle diameter.

3. Importance of Addendum Circle Diameter

Details: The addendum circle diameter is crucial for determining the overall size of the gear, ensuring proper clearance between meshing gears, and calculating the gear's contact ratio and strength characteristics.

4. Using the Calculator

Tips: Enter the addendum value and pitch circle diameter in meters. Both values must be positive numbers. The calculator will compute the addendum circle diameter.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between pitch circle and addendum circle?
A: The pitch circle is the theoretical circle where gear teeth mesh, while the addendum circle is the outer circle that touches the tips of the teeth.

Q2: How does addendum affect gear performance?
A: The addendum affects the contact ratio, strength, and noise characteristics of the gear. Proper addendum design ensures smooth operation and adequate strength.

Q3: Can this formula be used for all types of gears?
A: This specific formula is primarily used for helical gears, though similar principles apply to other gear types with appropriate modifications.

Q4: What units should be used for input values?
A: The calculator uses meters for all dimensions, but you can use any consistent unit system as long as all inputs are in the same units.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the input values. The accuracy of the result depends on the accuracy of the input measurements.

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