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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 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 value of 2.5 times the module.
Details: Accurate calculation of 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 millimeters and the number of teeth on the gear. Both values must be positive numbers (module > 0, teeth ≥ 1).
Q1: What is the significance of the 2.5 factor in the formula?
A: The 2.5 factor represents the standard dedendum value, which is typically 1.25 times the module for the dedendum height, multiplied by 2 to account for both sides of the gear tooth.
Q2: How does module affect the dedendum circle diameter?
A: The module directly scales the gear size. Larger module values result in larger gear dimensions, including the dedendum circle diameter.
Q3: Can this formula be used for all types of gears?
A: This specific formula is primarily for standard spur gears. Other gear types (helical, bevel, worm) may have different formulas for dedendum circle calculation.
Q4: What is the relationship between dedendum and addendum circles?
A: The dedendum circle is smaller than the addendum circle. The difference between them represents the total tooth depth (addendum + dedendum).
Q5: Why is accurate dedendum calculation important in gear manufacturing?
A: Proper dedendum calculation ensures correct tooth profile, prevents undercutting, maintains proper clearance, and ensures smooth meshing with mating gears.