Trying to design a gear with minimum thickness

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To design a gear with minimum thickness, it's essential to calculate the stress through the gear's section using appropriate equations. The discussion focuses on trepanned gears, which require clarification on whether they are helical or straight cut. Participants seek guidance on minimizing the area between specified arrows in the design. Understanding the specific type of gear is crucial for accurate calculations and design optimization. The conversation emphasizes the need for precise engineering principles in gear design.
mendi1
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Hello,

I am blanking on the equations I should use to calculate the stress through a section of a gear. I would like to be able to calculate the thickness of trepanned gear. Hopefully the attachment helps show what I am looking for. The area between the arrows needs to be minimized.

Thank you
 

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what the heck is a trepanned gear? is this a helical, straight cut?
 

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