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Pitch Circle Diameter Of Gear Given Dedendum Circle Diameter Calculator

Formula Used:

\[ \text{Diameter of Pitch Circle of Helical Gear} = \text{Dedendum Circle Diameter of Helical Gear} + 2 \times \text{Dedendum of Helical Gear} \]

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1. What is the Pitch Circle Diameter of Helical Gear?

The Pitch Circle Diameter of a Helical Gear is the diameter of the pitch circle, which is the imaginary circle that rolls without slipping with the pitch circle of a mating gear. It is a fundamental parameter in gear design and determines the gear's size and meshing characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Diameter of Pitch Circle of Helical Gear} = \text{Dedendum Circle Diameter of Helical Gear} + 2 \times \text{Dedendum of Helical Gear} \]

Where:

Explanation: This formula calculates the pitch circle diameter by adding twice the dedendum value to the dedendum circle diameter, effectively reconstructing the pitch circle from the gear's root dimensions.

3. Importance of Pitch Circle Diameter Calculation

Details: Accurate calculation of pitch circle diameter is crucial for proper gear design, ensuring correct meshing with mating gears, determining gear ratios, and maintaining proper tooth engagement and transmission efficiency in helical gear systems.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between pitch circle and dedendum circle?
A: The pitch circle is the imaginary circle that defines the gear's effective size for meshing, while the dedendum circle is the circle that passes through the bottoms of the gear teeth.

Q2: Why is the dedendum multiplied by 2 in this formula?
A: The dedendum is multiplied by 2 because it represents the radial distance from the pitch circle to the root circle on both sides of the gear tooth.

Q3: Can this formula be used for spur gears as well?
A: Yes, this fundamental relationship between pitch circle diameter, dedendum circle diameter, and dedendum applies to both helical and spur gears.

Q4: What are typical values for dedendum in gear design?
A: Dedendum values typically range from 1.0 to 1.25 times the module of the gear, depending on the gear system and design standards used.

Q5: How does helical gear geometry affect this calculation?
A: While the basic formula remains the same, helical gears have an additional helix angle consideration that affects tooth geometry, but the pitch circle diameter calculation from dedendum dimensions follows the same principle.

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