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  • Rear Sprocket Design

    Peter Hudlicka

    Peter Hudlicka

    @peter-hudlicka-od65e6
    Updated: Oct 26, 2024
    Views: 1.1K
    I am a mechanical engineering student at the University of Waterloo on the student design team Waterloo Formula Electric SAE.


    I'm designing a sprocket for a rear half shaft on our vehicle and was wondering if anyone has experience designing sprockets.


    Trying to find the back tension on each tooth of the sprocket, I found the following equation cited in multiple online sources:


    Tk=T0*(sinⱷ/sin(ⱷ+2B)^k-1

    Tk is the tension on a given engaged tooth

    T0 is the maximum tension experienced by the chain

    ⱷ is the minimum pitch angle (17-64/N, N being the number of teeth of the sprocket)

    2B is a little misleading, thought there is a variable B, the entire expression 2B seems to have a constant value of 360/N

    k is the number tooth of the sprocket that is engaged


    I have a couple of issues with the equation, aside from the ones mentioned above, I do not understand how it can be applied as it seems that using this equation, the first tooth engaged would take all of the tension of the chain as k-1 --> 1-1 = 0 --> Tk= T0*(sinⱷ/sin(ⱷ+2B)^0 = 1--> Tk = T0


    Does anyone know this equation/can you corroborate its accuracy, and or clarify some of my questions about its application?


    Thank you!


    Peter
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