Gear Pitch Diameter Formula:
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The pitch diameter (PD) is the diameter of the pitch circle, which is the imaginary circle that two meshing gears appear to roll on without slipping. It's a fundamental dimension in gear design and manufacturing.
The calculator uses the pitch diameter formula:
Where:
Explanation: The pitch diameter is directly proportional to both the module (size of each tooth) and the number of teeth on the gear.
Details: Pitch diameter is crucial for determining proper gear meshing, center distances between gears, and overall gear system design. It affects the gear's speed ratio and torque transmission capabilities.
Tips: Enter the module in millimeters and the number of teeth (must be positive integers). The module is typically a standard value from gear design tables.
Q1: What is the difference between pitch diameter and outer diameter?
A: Outer diameter is the overall diameter of the gear including the tips of the teeth, while pitch diameter is the diameter where the teeth effectively mesh with another gear.
Q2: How does pitch diameter relate to gear ratio?
A: The gear ratio between two meshing gears is equal to the ratio of their pitch diameters.
Q3: Can this formula be used for all gear types?
A: This formula is primarily for spur gears. Other gear types like helical or bevel gears may require additional considerations.
Q4: What are common module values?
A: Common module values range from 0.5 mm for small precision gears to 10 mm or more for large industrial gears, typically following standard size progressions.
Q5: How does pitch diameter affect gear strength?
A: While pitch diameter itself doesn't directly determine strength, larger pitch diameters generally allow for more teeth and greater torque capacity.