Maximum transmission ratio of a spur gear pair

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Discussion Overview

The discussion centers on the permissible maximum transmission ratio of a spur gear pair, exploring the implications of exceeding this ratio, as well as considerations regarding tooth count and gear design. The conversation includes both theoretical and practical aspects of gear mechanics.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that the permissible maximum transmission ratio for a spur gear pair is 1:5, questioning the consequences of exceeding this limit.
  • Another participant notes that a spur gear with less than about 12 teeth may obstruct, indicating that achieving a 1:5 ratio would require large gear sizes (12:60 tooth wheels). They propose that for a 1:6 ratio, using two stages with ratios of 1:2 and 1:3 (12:24 and 12:36 teeth) is more effective.
  • This participant also argues that using multi-stage reduction for ratios greater than 1:5 can lead to a smaller, lighter, and more cost-effective gearbox, emphasizing that there is no physical limit to the ratio if weight and cost are not constraints.
  • Another participant inquires about the minimum RPM for spur gears, stating a known minimum tooth count of 18 to avoid interference.
  • A response clarifies that there is no minimum speed for spur gears, noting that they can stop and reverse, but mentions potential backlash issues when not transmitting significant power, along with methods to reduce backlash if necessary.

Areas of Agreement / Disagreement

Participants express differing views on the maximum transmission ratio and its implications, with no consensus reached on a definitive limit or the best approach for gear design.

Contextual Notes

Discussions involve assumptions about gear design, such as tooth count and the impact of multi-stage reductions, which may depend on specific applications and requirements. The conversation also highlights the potential for backlash issues without resolving the conditions under which they may arise.

siddharth23
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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?
 
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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.
 

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