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Chapter 1    Introduction to Mechanisms and Machines           19



               Spur Gears  The most commonly      FIGURE 1-19 Spur gears in a drive train
               used gear is called a spur gear. Spur
               gears transmit motion between parallel
               shafts, as shown in Figure 1-19.
               Individual spur gears are primarily
               described by three variables:


                 1. Number of teeth (N)

                 2. Pitch diameter (D)

                 3. Diametral pitch (P)

               The last two variables sound alike,
               which can be confusing, because they
               represent very different things. The
               pitch diameter of a spur gear is the
               circle on which two gears effectively
               mesh, about halfway through the
               tooth. The pitch diameters of two
               gears will be tangent when the centers are spaced correctly. This means that half the
               pitch diameter of the first gear plus half the pitch diameter of the second gear will
               equal the correct center distance. This spacing is critical for creating smooth running
               gears.

               The diametral pitch of a gear refers to the number of teeth per inch of the
               circumference of the pitch diameter. Think of it as tooth density—the higher the
               number, the more teeth per inch along the edge of the gear. Common diametral
               pitches for hobby-size projects are 24, 32, and 48.


                 NOTE     The mating gears can have different pitch diameters and number of
                 teeth, but the number of teeth per inch, or diametral pitch (P), must be the
                 same for the gears to mesh correctly.

               Rack-and-Pinion Gears  A pinion is just another name for spur gear, and a rack is a
               linear gear. A rack is basically a spur gear unwrapped so that the teeth lay flat, as
               shown in Figure 1-20. The combination is used in many steering systems, and it is
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