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The Pitch Circle Diameter of a Spur 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 represents the effective size of the gear in mesh.
The calculator uses the formula:
Where:
Explanation: The pitch circle diameter is calculated by multiplying the module (size parameter) by the number of teeth on the gear.
Details: Accurate calculation of pitch circle diameter is crucial for proper gear design, ensuring correct meshing with mating gears, and maintaining the desired speed ratio in gear systems.
Tips: Enter the module value in meters and the number of teeth. Both values must be positive numbers (module > 0, number of teeth ≥ 1).
Q1: What is the module of a gear?
A: The module is a fundamental parameter in gear design that represents the size of the gear teeth. It is defined as the ratio of the pitch diameter to the number of teeth.
Q2: How does pitch circle diameter affect gear performance?
A: The pitch circle diameter determines the gear's size and affects its speed ratio, torque transmission capability, and overall performance in a gear system.
Q3: Can this formula be used for all types of gears?
A: This specific formula is primarily used for spur gears. Other gear types (helical, bevel, worm) have different formulas for calculating pitch diameters.
Q4: 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.
Q5: How does the number of teeth affect the pitch diameter?
A: For a given module, increasing the number of teeth increases the pitch diameter proportionally, resulting in a larger gear size.