Items related to The elements of mechanical engineering Volume 2
Synopsis
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1897 edition. Excerpt: ...the centers of two gears = 20". What must be their diameters so that the ratio of their speeds will be as 6: 5? Ans. 18.181 inches and 21.818 inches. 1558. Law of Tooth Contact.--The pitch point of two gears is the point of contact C, in Fig. 41G, of the pitch lines. It is the point at which the line of centers O O' intersects the pitch circles. The point of contact is the point where two teeth touch each other. In order that two gear-wheels may have the same relative velocities at every point as their corresponding pitch cylinders, the tooth curves-O'must be of such a shape that at the point of contact they will both be at right angles to a line Fig. 416. N N, Fig. 416, passing through the pitch point and point of contact. This line is called the common normal to the tooth curves. 1559. The path of contact is the curve described by the point of contact during the entire action of a pair of teeth. This curve always passes through the pitch point. 1560. Angle and Arc of Action.--The angle through which a wheel turns from the time when one of its teeth comes in contact with a tooth of the other wheel until the point of contact has reached the line of centers is the angle of approach; the angle through which it turns from the instant the point of contact leaves the line of centers until the teeth are no longer in contact is the angle of recess. The sum of these two angles forms the angle of action. The arcs of the pitch circles which measure these angles are called the arcs of approach, recess, and action, respectively. In order that one pair of teeth shall be in contact until the next pair begin to act, the arc of action must be at least equal to the pitch. THE EPICYCLOIDAL SYSTEM. 1561. The Tooth Outline.--In Fig. 417, let 0 and O' be...
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