Maximum transmission ratio of a spur gear pair

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
3 replies · 14K views
siddharth23
Messages
249
Reaction score
26
WHat is the permissible maximum transmission ratio of a Spur gear pair? I read somewhere that it is 1:5. What wil happen if this is exceeded?
 
Physics news on Phys.org
Depending on tooth profile, if a simple spur gear has less than about 12 teeth it will obstruct. That means a 1:5 ratio requires 12:60 tooth gear wheels which will be quite large. For a 1:6 ratio it is better to use two stages with ratios of 1:2 and 1:3 which becomes 12:24 and 12:36 teeth.

There will be times when only one tooth on each gear wheel is working. Since power = torque * RPM, the faster stage gear teeth can be smaller and lighter since those teeth handle less torque more often. That can reduce the weight so when multi-stage reduction is used for more than a 1:5 ratio, the gearbox can be smaller, lighter and lower cost.

So yes, if the ratio is greater than about 1:5 you should consider multi-stage reduction for economic reasons. There is no physical ratio limit if there is no weight or cost limit.
 
Thanks! I know minimum teeth on the pinion should be 18 to avoid interference. What's the minimum RPM at which a pair of Spur gears can be used?
 
There is no minimum speed. They can stop and reverse.
There may be a backlash problem when significant power is not being transmitted.
There are ways of reducing backlash if it is a problem.