The Elements of Machine Design

Cover The Elements of Machine Design
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The arcs of contact during ap- proach and recess are found by laying off ^j /, and/ a^, on the base circles, and finding the corresponding pitch circle arcs.
If the arc of action is too large the teeth may be shortened.
205. Approximate method of describing the involute. — The involute is not difficult to describe, but the following method gives a very accurate circular approximation. Let e\ e^ (fig.
221) be the working height of the teeth, or the distance between circles Ci b^, in fig. 219, me
...asured along the line of centres. Take ^1 ^ = §^1 e^. Draw a tangent ^^ to the base circle. Take hk-=^\hg. Then, a circle m «, struck Digitized by Google 31 8 Maclune Design from k with radius kg^ will be the required approximation to the involute. It will coincide with the involute at n and gy and will have the same normal at g. The part of the tooth Fig, 22 X below the base circle may be radial. This part does not come in contact with a tooth of the other wheel.
2o6. To determine the length of involute teeth for given arcs of approach and recess.


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