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Dedendum Circle Diameter Of Gear Given Pitch Circle Diameter Calculator

Formula Used:

\[ d_f = d - 2 \times d_h \]

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m

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1. What is the Dedendum Circle Diameter Formula?

The Dedendum Circle Diameter formula calculates the diameter of the circle that touches the root of the gear teeth in a helical gear system. It is derived from the pitch circle diameter and the dedendum value.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ d_f = d - 2 \times d_h \]

Where:

Explanation: The formula subtracts twice the dedendum value from the pitch circle diameter to determine the dedendum circle diameter.

3. Importance of Dedendum Circle Diameter

Details: Accurate calculation of dedendum circle diameter is crucial for proper gear design, ensuring correct tooth geometry, and preventing interference in gear meshing.

4. Using the Calculator

Tips: Enter the pitch circle diameter and dedendum value in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between pitch circle and dedendum circle?
A: The pitch circle is the theoretical circle where gear teeth mesh, while the dedendum circle touches the bottom of the tooth spaces.

Q2: Why is the dedendum important in gear design?
A: The dedendum ensures proper clearance between the tip of one gear tooth and the root of the mating gear tooth, preventing interference.

Q3: How does this apply to helical gears specifically?
A: Helical gears have angled teeth, but the fundamental relationship between pitch circle diameter and dedendum circle diameter remains the same as spur gears.

Q4: What units should be used for input values?
A: The calculator uses meters (m) for all measurements, consistent with SI units for mechanical engineering calculations.

Q5: Can this formula be used for other types of gears?
A: While the basic principle applies to various gear types, specific gear geometries may require modified formulas or additional considerations.

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