Calculation of highly modified cylindrical spur gear transmission

Taking a pair of small gears and large gears meshed by cylindrical spur gears as an example, it is known that the module of the small gears of cylindrical spur gears is 2.5, the number of teeth is 30, the pressure angle is 20 °, and the modification coefficient is 0.35. The module of the large gears meshed with cylindrical spur gears is 2.5, the number of teeth is 65, the pressure angle is 20 °, the modification coefficient is – 0.35, and the addendum coefficient f is 1. The geometric calculation formula and results are shown in the table.

NameGeometric formulaPinionWheel
Dividing circle diameterd = mz75162.5
Tooth tip circle diameterda= d + 2m(f + ε)81.75165.75
Root circle diameterdf= d - m(f - ε + c)70.5154.5
Addendum heightha= m(f + ε)3.3751.625
Root height of teethhf= (f - ε + c)2.254
Tooth heighth = ha+ hf5.6255.625
Base circle radiusΥο= mZcosα35.283476.3500
Basal nodeτi= π mcosα7.380337.38033
Circular pitchτj= π m7.85397.8539
Radial clearancem > 1,c = 0.25m0.625
Center distanceA = m (Z1+ Z2) / 2118.75
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