Practical Treatise on Gearing

Couverture
Brown & Sharpe Mfg. Company, 1920 - 211 pages
 

Expressions et termes fréquents

Fréquemment cités

Page 164 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 166 - We can bring the value of this expression into a fraction, with only one number for its numerator and one number for its denominator, by performing the operations indicated, step by step, commencing at the last part of the continued fraction.
Page 187 - I 60 .43837 .89879 •45399 .89101 .46947 .88295 .48481 .87462 .50000 .86603 0 Cosine Sine Cosine Sine Cosine Sine Cosine Sine Cosine Sine...
Page 166 - That is, dividing the last divisor by the last remainder, as in finding the greatest Common divisor, the quotients become the denominators of the continued fraction, with unity for numerators. The denominators 25. 2, and so on, are called incomplete quotients, since they are only the entire parts of each quotient. The first expression in the continued fraction is »Ц or 0-04 — a little larger than »•03937.
Page 144 - An angle at the centre of a circle is measured by the arc intercepted by the sides of the angle.
Page 12 - ... and touch each other without slipping. Fig. 4 Space. The groove between two teeth is called a space. In cut gears the width of space at pitch line and thickness of tooth at pitch line are equal. The distance between the center of one tooth and the center of the Circular Pitch, next tooth, measured along the pitch line, is the circular pitch ; that is, the circular pitch is equal to a Tooth Thick- tooth and a space; hence, the thickness of a tooth at the pitch line is equal to one-half the circular...
Page 175 - Circular pitch is the distance from the centre of one tooth to the centre of the next tooth, measured along the pitch circle.
Page 174 - Diametral Pitch is the number of teeth to each inch of the pitch diameter. To...
Page 71 - Next measure the cutter at the proper depth for 6 pitch, which is found by dividing 1.157 by the diametral pitch. This depth equals 0.1928 inch. Suppose that the thickness of the cutter at this depth is 0.1745 inch. The dimension will vary with different cutters, and will vary in the same cutter as it is ground away, since formed bevel gear cutters are commonly provided with side relief. Using these values, the offset is determined as follows : Offset = _ = 00406 inch £ b How are the offset and...
Page 179 - DIAMETRAL PITCH IN FIRST COLUMN To obtain the size of any part of a diametral pitch not given in the table, divide the corresponding part of i diametral pitch by the pitch required.

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