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The Semi Minor Axis of Helical Gear Teeth is one-half of the minor axis of the elliptical cross-section of the teeth of a helical gear. It represents the shorter radius of the elliptical profile that characterizes the shape of helical gear teeth.
The calculator uses the formula:
Where:
Explanation: This formula calculates the semi minor axis of the elliptical profile based on the semi major axis and the radius of curvature at a specific point on the gear tooth.
Details: Accurate calculation of the semi minor axis is crucial for proper gear design, ensuring correct tooth profile geometry, optimal load distribution, and efficient power transmission in helical gear systems.
Tips: Enter the semi major axis and radius of curvature values in meters. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is the relationship between semi major and semi minor axes in helical gears?
A: The semi major and semi minor axes define the elliptical cross-section of helical gear teeth, with the semi major axis being the longer radius and the semi minor axis being the shorter radius of the ellipse.
Q2: How does radius of curvature affect the gear tooth profile?
A: The radius of curvature determines how sharply the tooth profile curves at a specific point, influencing stress distribution and contact patterns between mating gears.
Q3: What are typical values for semi minor axis in helical gears?
A: Typical values depend on gear size and module, but generally range from a few millimeters to several centimeters in industrial applications.
Q4: Are there limitations to this calculation method?
A: This formula provides accurate results for standard elliptical profiles but may need adjustment for non-standard or modified tooth profiles.
Q5: How is this calculation used in gear design?
A: Engineers use this calculation to ensure proper tooth geometry, optimize contact patterns, and verify that the gear design meets strength and durability requirements.