The essentials of gearing; a text book for students and for self-instruction, containing numerous problems and practical formulas . wn according tosome established system, as in the involute when the angle of pressure is constant, or in thecycloidal when but one diameter of rolling circle be used, it may be desirable to employ some ofthe approximate methods for shortening the operation of describing the outline of the it is unnecessary for the student to familiarize himself with the theory, or even thedetails, of operating the various systems for approximating these curves, it is e


The essentials of gearing; a text book for students and for self-instruction, containing numerous problems and practical formulas . wn according tosome established system, as in the involute when the angle of pressure is constant, or in thecycloidal when but one diameter of rolling circle be used, it may be desirable to employ some ofthe approximate methods for shortening the operation of describing the outline of the it is unnecessary for the student to familiarize himself with the theory, or even thedetails, of operating the various systems for approximating these curves, it is essential that aknowledge be had of the more useful tables and methods to which reference may be madewhen required. This is particularly true in the case of the involute tooth, which is the onemost used. Three methods are employed for approximating tlie odontoidal curves. First, by circular arcs, the centers and radii of which are given in tables, or established byinstruments designed for this purpose. Second, l)y curved templets from which the curves may be traced directly. Third, by ordinates. 58 ODONTOGRAPHS. _LINL_OF_FLANK. GRANTS EPICYCLOIDAL 3 P. 21 T 65. The Three Point Odontograph, designedby Mr. George B. Grant, is a table for theface and flank radii, and location of centersfor circular arcs approximating the true curvesof epicycloidal teeth. It is designed for thatsystem which has for its base a twelve-toothedgear with radial flanks. Art. 33, page 20. In using this odontograph, proceed as fol-lows : Draw the pitch circle, addendum, anddedendum circles, and space the pitcli circlelor the teeth. Obtain the radins of the cir-cle for the flank centers by laying off out-side the pitch circle the tabular distance forflanks, as given in the sixth column, observingthat this value must be divided by the Tfetii in FoFor a R ONE Diametral Pi rcii nE BY 01 NY OTHER Pitch divi Ge All THAT PiTlII Faces Flank Kxact Intervals Kad. Dis. Kad. Uis. 12 12 .06 00


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