Machinery's Handbook, 31st Edition
700
Angles and Tapers Rules for Figuring Tapers
D L = diameter of taper, large end D S = diameter of taper, small end L = length of taper (inches) TPF = taper per foot TPI = taper per inch T = taper in a certain length, in inches
D S
D L
L
Given
To Find
Rule
TPI = TPF ⁄ 12 TPF = TPI × 12
TPF TPI
TPI TPF
D L – D S L
TPF = 12
D L , D S , L
TPF
TPF
D S = D L –
12 L 12 L
D L , L, TPF
D S
TPF
D L = D S +
D S , L, TPF
D L
TPF 12
L = ( D L – D S )
D L , D S , TPF
L
× L TPF 12
T =
L, TPF
T
To find angle α for given taper T in inches per foot.—
D
d
C
2 a = arctan ( T / 24)
Example: What angle α is equivalent to a taper of 1.5 inches per foot? # α = 2 arctan (1.5/24) = 7.153° To find taper per foot T given angle α in degrees.— tan T 24 inches per foot = ` j α ⁄ 2 Example: What taper T is equivalent to an angle of 7.153 ° ? . tan T 24 =15 inches per foot = a k 7.153 ⁄ 2 To find angle α given dimensions D , d , and C.— Let K be the difference in the disk diam- eters divided by twice the center distance. K = ( D – d )/(2 C ), then 2 a = arcsin K Example: If the disk diameters d and D are 1 and 1.5 inches, respectively, and the center distance C is 5 inches, find the included angle α . . . K 2 5 15 1 005 # # ° a = − = = ^ ^ h h ⁄ 2 arcsin0.05 = 5.732
Copyright 2020, Industrial Press, Inc.
ebooks.industrialpress.com
Made with FlippingBook - Share PDF online