Rear Sprocket Design
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
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
Replies
You are reading an archived discussion.
Related Posts
Im a mechanical final year student and after completing my b-tech , im looking
forward to take NEBOSH certificate in safety.
I just want to know **what are the areas...
Hi I am Prashanth from Bangalore, I have graduated as an electrical engineer in 2016 and looking for a job in Ver badly from past one year. So will it...
how long, which language and which place is better for summmer training in 2018 for CSE 4th sem?
Hello,
I built an FM receiver for NOAA Weather Radio awhile back. It works pretty well but there's an annoying howl out of the speaker when I turn up the...
Researchers at Yokohama National University in Japan have developed a technique to mass-produce “hair follicle germs” – cellular aggregates that can be implanted into the skin and allowing new hair...