AdvancedTopic 86 of 106Engineering Mechanics
Gears
Transmit rotation with fixed ratio; involute teeth maintain constant velocity ratio.
In depth
Involute gear teeth give constant velocity ratio and tolerate centre-distance errors. Module m=d/N sets size; mesh requires equal module and pressure angle (typically 20°). Types: spur, helical, bevel, worm. Contact ratio should exceed 1.2.
Key points
- Pitch diameter d=mN
- Helical gears are quieter
- Worm gears can self-lock
ExampleA 20-tooth pinion with module 3 mm has a 60 mm pitch diameter.
What is Gears?
Transmit rotation with fixed ratio; involute teeth maintain constant velocity ratio.
Why is it important to understand gears?
Gears transmit rotation with an exact speed ratio, which is why they are used in almost every power train from clocks to wind turbines.
Why are involute teeth used?
The velocity ratio stays constant even if the centre distance changes slightly, which makes manufacture and assembly tolerant.
What is backlash?
The small clearance between meshing teeth that allows slight movement. Too much causes noise and position error, while too little causes binding.
How is Gears used in practice?
Typical applications include selecting a gear pair to reduce motor speed for a conveyor, designing a differential that lets two wheels turn at different speeds and checking the tooth strength of a gear in a gearbox.
What should I learn before Gears?
Study "Cams and followers" first (topic 85 of 106 in Engineering Mechanics). It covers the groundwork this topic builds on.
What are the key points of Gears?
Pitch diameter d=mN. Helical gears are quieter. Worm gears can self-lock.
Can you give an example of Gears?
A 20-tooth pinion with module 3 mm has a 60 mm pitch diameter.
What comes after Gears?
The next topic is "Gear trains", which builds directly on this one.
How difficult is Gears?
It is classed as Advanced in Engineering Mechanics (topic 86 of 106). It is an advanced topic. It assumes you are comfortable with the intermediate topics in Engineering Mechanics.