Machinery's Handbook, 31st Edition
Angles and Tapers 701 To find taper T measured at right angles to a line through the disk centers given dimensions D , d , and distance C.— Find K using the formula in the previous example, then T K ⁄ 24 inches per foot = K 1 2 − . Example: If disk diameters d and D are 1 and 1.5 inches, respectively, and the center dis tance C is 5 inches, find the taper per foot. . . T 24 005 12015inches per foot # # = . 1 005 2 − = ^ h K = (1.5 – 1) ⁄ (2 5) = 0.05 To find center distance C for a given taper T in inches per foot.— C D d 2 1 inches 2 # = − + ( ) T ⁄ 24 T ⁄ 24 Example: Gage is to be set to 3 ⁄ 4 inch per foot, and disk diameters are 1.25 and 1.5 inches, respectively. Find the required center distance for the disks. . . . C 2 15 125 1 4 002 inches 2 # = − + = 0.75 ⁄ 24 (0.75 ⁄ 24) To find center distance C for a given angle α and dimensions D and d. C D d ⁄ 2 sin ( ⁄ 2) inches a = − ^ h Example: If an angle α of 20 ° is required, and the disks are 1 and 3 inches in diameter, respectively, find the required center distance C . . sin C 2 10 3 1 5 759 inches # ° = − = ^ ^ h h ⁄ To find taper T measured at right angles to one side.— When one side is taken as a base line and the taper is measured at right angles to that side, calculate K as explained above and use the following formula for determining the taper T :
K − K 1 2 −
D
T K 24 =
inches per foot 2
1 2
d
C
Example: If the disk diameters are 2 and 3 inches, respectively, and the center distance is 5 inches, what is the taper per foot measured at right angles to one side? . . . . . . . K T in per ft 2 5 3 2 01 24 01 1 2 01 1 01 24367 2 2 # # # # = – = = – – = ^ ^ h h 6 @ To find center distance C when taper T is measured from one side.— C D d 2 2 inches = − − ( T ⁄ 12) 1 2 + ⁄ Example: If the taper measured at right angles to one side is 6.9 inches per foot, and the disks are 2 and 5 inches in diameter, respectively, what is center distance C ? . C 2 2 5 2 5 815 inches. = − − = 1 = (6.9 ⁄ 12) 2
Copyright 2020, Industrial Press, Inc.
ebooks.industrialpress.com
Made with FlippingBook - Share PDF online