The Essentials of Gearing: A Text Book for Technical Students and for Self-instruction, Containing Numerous Problems and Practical Formulas |
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Common terms and phrases
12 TEETH addenda addendum and dedendum angle increment angle of pressure annular gear arc of contact backlash base circle Bevel Gear Center angle center distance circular pitch circumference constant velocity ratio Cycloidal Gear cycloidal system dedenda dedendum circles describing curve describing point determined diameter increment diameter of gear diameter of rolling director circle Draw center drawn epicycloid epitrochoid equal gear teeth gear tooth hypocycloid illustrates interference interior describing circles intermediate describing circle Involute Gear involute system least number limit line of action marking point maximum angle method number of teeth obtain Odontograph odontoids path of contact pinion and gear Pinion and Rack pinion flank PINION PITCH pinion tooth pitch cones pitch diameters pitch point PLATE 11 point of contact rack teeth rack tooth radial flanks radii radius REFERENCES TO TEXT right line rolling circle secondary action Spur Gears tangent thickness tooth curve worm
Popular passages
Page 4 - This curve is traced by a point in the circumference of a circle which rolls upon a straight line as a directrix, as the curve oa2as (Fig.
Page 5 - Epicycloid. If the generating circle rolls upon the outside of an arc or circle, called the director circle, the curve thus generated is called an epicycloid. The method of drawing this curve is the same as that for the cycloid. Hypocycloid. In case the generating circle rolls upon the inside of an arc or circle, the curve thus generated is called the hypocycloid. The circle upon which the generating circle rolls is...
Page 10 - ... through A. And conversely, any two curves of which these two things are true, can be generated in the manner above described. In general, then : The tooth-outlines which act in contact, must be such as can be simultaneously traced upon the planes of rotation of the two wheels while in action, by a marking point which is carried by a describing curve moving in rolling contact with both pitch circles. By using various describing curves, then, an infinite number of tooth-outlines may be generated,...
Page 15 - Clearance is the amount of space measured on the line of centers between the addendum circle of one gear and the dedendum circle of the mating gear.
Page 63 - ... relatively speaking, and the corroboration of the theory by examples from practice which follow, is believed to be new. No better illustration of the fact that good practice with worm gearing is not yet widely understood could be given than the statement in a recent and excellent work on gearing that " the diameter of the worm is commonly made equal to four or five times the circular pitch," the fact being that such proportions are distinctly bad if the worm is to do hard work.
Page 11 - In order to express in a more direct and simple manner the ratio between the diameter of the pitch circle and the number of teeth, and to easily determine the 12 TOOTH PARTS.
Page 1 - The number of revolutions of the shafts will be inversely proportional to the diameter of the friction surfaces, and this ratio will he maintained constant under the condition of no slip.
Page 43 - Pitch lines having been determined, the base circles are drawn tangent to the line of action, and the involutes of those base circles will be the required curves.
Page 42 - The diameter of the intermediate describing circle is equal to the diameter of the pinion, plus the diameter of exterior describing circle, or diameter of gear minus interior describing circle.