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Addendum Circle Diameter Of Spur Gear Calculator

Formula Used:

\[ d_a = m \times (z + 2) \]

m
teeth

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1. What is Addendum Circle Diameter?

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

2. How Does the Calculator Work?

The calculator uses the formula:

\[ d_a = m \times (z + 2) \]

Where:

Explanation: The formula calculates the outer diameter of the gear by adding 2 to the number of teeth (to account for the tooth height) and multiplying by the module.

3. Importance of Addendum Circle Diameter

Details: The addendum circle diameter is crucial for gear design and manufacturing as it determines the overall size of the gear and ensures proper meshing with other gears in the system.

4. Using the Calculator

Tips: Enter the module value in meters and the number of teeth. Both values must be positive numbers (module > 0, teeth ≥ 1).

5. Frequently Asked Questions (FAQ)

Q1: What is the module of a spur gear?
A: Module is the unit of size that indicates how big or small a gear is. It represents the ratio of the pitch diameter to the number of teeth.

Q2: Why add 2 to the number of teeth in the formula?
A: Adding 2 accounts for the additional diameter contributed by the tooth addendum (the radial distance from the pitch circle to the top of the tooth).

Q3: What are typical module values for spur gears?
A: Module values typically range from 0.5 to 25 mm, with common values between 1-10 mm for most industrial applications.

Q4: How does addendum circle diameter relate to pitch diameter?
A: Addendum circle diameter = Pitch diameter + 2 × module, where pitch diameter = module × number of teeth.

Q5: Can this formula be used for other gear types?
A: This specific formula is designed for standard spur gears. Other gear types (helical, bevel, worm) have different formulas for calculating addendum circle diameter.

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