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Dedendum Circle Diameter Formula:
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The Dedendum Circle Diameter of a spur gear is the diameter of a circle that touches the root of the gear teeth. It represents the innermost diameter of the gear tooth profile and is crucial for proper gear design and manufacturing.
The calculator uses the Dedendum Circle Diameter formula:
Where:
Explanation: The formula calculates the diameter of the circle that passes through the bottom of the gear teeth, accounting for the standard dedendum height of 1.25 times the module.
Details: Accurate calculation of the dedendum circle diameter is essential for proper gear design, ensuring adequate clearance between mating gears, preventing interference, and maintaining proper tooth strength and durability.
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 unit of gear size that represents the ratio of the pitch diameter to the number of teeth. It determines the size of the gear teeth.
Q2: Why is 2.5 subtracted in the formula?
A: The value 2.5 accounts for the standard dedendum height of 1.25 times the module (which affects both sides of the gear, hence 2.5 times the module).
Q3: What is the difference between dedendum and addendum?
A: Addendum is the radial distance from the pitch circle to the top of the tooth, while dedendum is the radial distance from the pitch circle to the bottom of the tooth.
Q4: Can this formula be used for all gear types?
A: This specific formula is designed for standard spur gears. Other gear types (helical, bevel, worm) may have different formulas for dedendum circle diameter.
Q5: How does module affect gear size?
A: Larger module values result in larger gear teeth and consequently larger overall gear dimensions for the same number of teeth.