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BEVEL AND HYPOID GEARS 11.4
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FIGURE 11.6 Bevel-gear nomenclature mean transverse section AA in Fig. 11.5.
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Dedendum angle of pinion (gear) P ( G) is the angle between elements of the root cone and pitch cone. Dedendum angles, sum of is the sum of the pinion and gear dedendum angles. Dedendum of pinion (gear) bp (bG) is the depth of the tooth space below the pitch cone. Depth, mean whole hm is the tooth depth at midface. Depth, mean working h is the depth of engagement of two gears at midface. Diametral pitch Pd is the number of gear teeth per unit of pitch diameter. Face angle of pinion (gear) blank o ( o) is the angle between an element of the face cone and its axis. Face apex beyond crossing point on the pinion (gear) Go (Zo) is the distance between the face apex and the crossing point on a bevel or hypoid set. Face width F is the length of the teeth measured along a pitch-cone element. Factor, mean addendum cl is the addendum modification factor. Front crown to crossing point on the pinion (gear) xi (Xi) is the distance in an axial section from the front crown to the crossing point, measured in the axial direction. Hypoid offset E is the distance between two parallel planes, one containing the gear axis and the other containing the pinion axis of a hypoid-gear set. Number of teeth in pinion (gear) n (N) is the number of teeth contained in the whole circumference of the pitch cone.
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Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
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FIGURE 11.7 Hypoid gear nomenclature.
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Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
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Pitch angle of pinion (gear) ( ) is the angle between an element of the pitch cone and its axis. Pitch apex beyond crossing point on the pinion (gear) G (Z) is the distance between the pitch apex and the crossing point on a hypoid set. Pitch diameter of pinion (gear) d (D) is the diameter of the pitch cone at the outside of the blank. Pitch, mean circular pm is the distance along the pitch circle at the mean cone distance between corresponding profiles of adjacent teeth. Pressure angle is the angle at the pitch point between the line of pressure which is normal to the tooth surface and the plane tangent to the pitch surface. It is specified at the mean cone distance. Ratio, gear mG is the ratio of the number of gear teeth to the number of pinion teeth. Root angle of pinion (gear) R ( R) is the angle between an element of the root cone and its axis. Root apex beyond crossing point on the pinion (gear) GR (ZR) is the distance between the root apex and the crossing point on a bevel or hypoid set. Shaft angle is the angle between the axes of the pinion shaft and the gear shaft. Spiral angle is the angle between the tooth trace and an element of the pitch cone. It is specified at the mean cone distance. Spiral-bevel gear, left-hand is one in which the outer half of a tooth is inclined in the counterclockwise direction from the axial plane through the midpoint of the tooth, as viewed by an observer looking at the face of the gear. Spiral-bevel gear, right-hand is one in which the outer half of a tooth is inclined in the clockwise direction from the axial plane through the midpoint of the tooth, as viewed by an observer looking at the face of the gear. Tangential force Wt is the force applied to a gear tooth at the mean cone distance in a direction tangent to the pitch cone and normal to a pitch-cone element. Thickness of pinion (gear), mean circular t (T) is the length of arc on the pitch cone between the two sides of the tooth at the mean cone distance. Thickness of pinion (gear), mean normal chordal tnc (Tnc) is the chordal thickness of the pinion tooth at the mean cone distance in a plane normal to the tooth trace.
11.2.3 Calculation Methods Four methods of blank design are commonly used in the design of bevel and hypoid gears: 1. 2. 3. 4. Standard taper Duplex taper Uniform taper Tilted root-line taper
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