Kinematics of Machinery : a Brief Treatise On Constrained Motions of Machine Elements

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It may be very small in accurate cut gears; but must be larger in cast gears.
The spaces are always made deeper than is required to allow the points of the teeth to pass, this allowance is called bottom clearance, or simply clearance; it also provides a lodging-place for a moderate quantity of dirt or other foreign substance which may get between the teeth.
i/ 72. Dimensions of Teeth. — The action of the teeth is smoothest ■when the contact point is near the line of centres; hence a large numbe
...r of small teeth gives more uniform action than fewer and larger teeth. The teeth must be thick enough to safely sustain the load, however; and the pitch is determined by this consideration.
For epicycloidal gears of an interchangeable system, in which the describing circle has a diameter equal to the radius of the 12-tooth pinion, the circular pitch (jo), required for strength, may be found by the following formula: p = (0.23 - /o.05-i^)A OUTLINES OF OEAR-TEETH.
129 in which W = the load applied to the tooth per inch of its face, in pounds; Z> = the pitch diameter of the gear in inches; and/ = the working stress allowed in the teeth, in pounds per square inch.


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