Spur and Bevel Gearing


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Spur Gears


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Spur Gearing


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The Geometry of Involute Gears


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Of all the many types of machine elements which exist today, gears are among the most commonly used. The basic idea of a wheel with teeth is extremely simple, and dates back several thousand years. It is obvious to any observer that one gear drives another by means of the meshing teeth, and to the person who has never studied gears, it might seem that no further explanation is required. It may therefore come as a surprise to discover the large quantity of geometric theory that exists on the subject of gears, and to find that there is probably no branch of mechanical engineering where theory and practice are more closely linked. Enormous improvements have been made in the performance of gears during the last two hundred years or so, and this has been due principally to the careful attention given to the shape of the teeth. The theoretical shape of the tooth profile used in most modern gears is an involute. When precision gears are cut by modern gear-cutting machines, the accuracy with which the actual teeth conform to their theoretical shape is quite remarkable, and far exceeds the accuracy which is attained in the manufacture of most other types of machine elements. The first part of this book deals with spur gears, which are gears with teeth that are parallel to the gear axis. The second part describes helical gears, whose teeth form helices about the gear axis.




Involute Spur Gears


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Wheel & Pinion Cutting in Horology


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Many clock repairers carry out excellent work but avoid cutting their own wheels and pinions, fearing it is too complicated and involved. This book, written by an experienced clock and tool maker, dispels those fears and gives a step-by-step guide to an extremely satisfying aspect of horology. This book is written for both the amateur and professional involved in the making and restoring of clocks, and for anyone who intends to start building up a workshop and requires a guide to the equipment and how to use it.




Spur Gearing


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Excerpt from Spur Gearing: Rules and Formulas Internal Spur Gears Design of Spur Gears Gear wheels are such common objects about the machine shop, and are manufactured with such rapidity and ease by the aid of the modern automatic gear cutter, that many seldom stop to think what they really are, why the teeth must be constructed with certain curves, and what it is desired that they shall accomplish. In following chapters we shall take up some of the practical questions, touching upon the calculations that come up in the design, but will here deal chiefly with a few of the theoretical points of the subject that are seldom explained in a simple manner for the benefit of those who have had neither the time nor the opportunity to look into matters of this kind. Suppose there are two wheels arranged as in Fig.1 with their faces in close, frictional contact, and that both are exactly the same size, so Fig.1 that when the crank is turned around once, wheel B will turn exactly once also, provided, of course, there is no slipping between the two wheels. It must be noticed, moreover, that if the crank be turned uniformly, wheel B will not only make the correct number of revolutions relative to A, but it will revolve uniformly, as well; that is, both its total motion and the motion from point to point will be correct. Now there are many places in machine construction where the slipping inseparable from friction wheels cannot be tolerated, and this difficulty might be overcome by fastening small projections to one of the wheels, as on A in Fig.2, and cutting grooves in the other wheel, B. Then, if the crank were turned, wheel B would always make just the right number of turns, even if considerable power were transmitted. It is probable, however, that these projections and grooves would not fulfill the purpose of gear teeth. What is wanted of gear teeth is that they shall give exactly the same kind of motion as corresponding friction wheels, running without slipping. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.