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General Design Principles for DuPont Engineering Polymers - Module

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Figure 9.05 Gear nomograph (British units)<br />

From a strictly functional and technical point of view,<br />

there is no reason to choose a larger tooth size than<br />

required. In the case of plastic gear design, the tooth<br />

size is often chosen smaller than necessary <strong>for</strong> the<br />

following reasons:<br />

• Smaller teeth, <strong>for</strong> a given diameter, tend to spread<br />

the load over a larger number of teeth<br />

• Less critical molding tolerances<br />

• Less sensitivity to thermal variations, post molding<br />

shrinkage, and dimensional stability<br />

• Coarse module teeth are limited by higher sliding<br />

velocities and contact pressures<br />

Actual sizes of gear teeth of different diametral<br />

pitches are shown in Figure 9.06. This can be used to<br />

quickly scale an existing spur gear to determine the<br />

diametral pitch. Table 9.03 may also be helpful in<br />

understanding the various gear relationships.<br />

52<br />

Having selected the diametral pitch, the face width is<br />

determined by extending a line from the pitch through<br />

the point on the Reference line previously determined<br />

from the allowable stress and tangential <strong>for</strong>ce. Obviously,<br />

the nomographs can be used to determine any<br />

one of the four variables (S, F, f, or MP d) if any three<br />

are known.<br />

Item Equations<br />

Pitch Diameter (Dp) Diametral Pitch (Pd) Circular Pitch (Pc) Center Distance (C)<br />

Table 9.03<br />

Gear Relationships<br />

are related by D p × P d = N<br />

are related by P c × P d = π<br />

are related by C = Np + Ng Pc 2π<br />

where: N or N g = number of teeth on the gear<br />

N p = number of teeth on the pinion

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