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The basic bending stress equations were developed for a single tooth mounted on a rigid support so that it behaves as a short cantilever beam As the rim which supports the gear tooth becomes thinner, a point is reached at which the rim no longer provides rigid support When this occurs, the bending of the rim itself combines with the tooth bending to yield higher total alternating stresses than would be predicted by the normal equations Additionally, when a tooth is subjected to fully reversed bending loads, the alternating stress is also increased because of the additive effect of the compressive stress distribution on the normally unloaded side of the tooth, as Fig 106 shows Both effects are accounted for by the rim thickness factor, as Fig 107 indicates It must be emphasized that the data shown in Fig 10.

- (void) close { if(sqlite3_close(database) != SQLITE_OK) { [self raiseSqliteException:@"failed to close database with message '%S'."]; } } - (void) open { //opens database, creating the file if it does not already exist if(sqlite3_open([self.pathToDatabase UTF8String], &database) != SQLITE_OK) { sqlite3_close(database); [self raiseSqliteException:@"Failed to open database with message '%S'."]; } }

R8 R9 R10 R11 R12 C1 C2, C3, C5 C7, C8, C9, C10 C11, C12, C16 C4 C6, C15 C13 C14 XTL S1, S3 S2 Miscellaneous

7 are based on a limited amount of analytical and experimental (photoelastic and strain-gauge) measurements and thus must be used judiciously Still, they are the best data available to date and are far better than nothing at all; see Refs [104] and [105]..

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 10.5 Definition of effective face width. (a) FE1 = F1, FE2 = F1 + 2WD; FN = F1; (b) FE1 = F1, FE2 = F2, FN = F1; (c) FE1 = FE2 = FN.

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.

These are pretty straightforward. open opens the connection and stores the database handle in the database property. They report errors by calling the raiseSqliteException function:

potentiometer (20 turns)

FIGURE 10.6 Stress condition for reversing (as with an idler) loading. (a) Load on right flank; (b) load on left flank; (c) typical waveform for strain gauge at point C.

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.

FIGURE 10.7 Rim thickness factor Kb. The backup ratio is defined as the ratio of the rim thickness to the tooth height. Curve A is fully reversed loading; curves B and C are unidirectional loading.

{ [NSException raise:@"ISDatabaseSQLiteException" format:errorMessage, _ sqlite3_errmsg16(database)]; }

For gear blanks which utilize a T-shaped rim and web construction, the web acts as a hard point, if the rim is thin, and stresses will be higher over the web than over the ends of the T. The actual value which should be used for such constructions depends greatly on the relative proportions of the gear face width and the web. If the web spans 70 to 80 percent of the face width, the gear may be considered as having a rigid backup. Thus the backup ratio will be greater than 2.0, and any of the curves shown may be used (that is, curve C or B, both of which are identical above a 2.0 backup ratio, for unidirectional loading or curve A for fully reversed loading). If the proportions are between these limits, the gear lies in a gray area and probably lies somewhere in the range defined by curves B and C. Some designer discretion should be exercised here. Finally, note that the rim thickness factor is equal to unity only for unidirectionally loaded, rigid-backup helical gears. For fully reversed loading, its value will be at least 1.4, even if the backup is rigid. Load-Distribution Factors Km and Cc. These factors modify the rating equations to account for the manner in which the load is distributed on the teeth. The load on a set of gears will never be exactly uniformly distributed. Factors which affect the load distribution include the accuracy of the teeth themselves; the accuracy of the

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