Transmission Roller Chains Machinery's Handbook, 31st Edition
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Table 11. ANSI Sprocket Tooth Form for Roller Chain ANSI/ASME B29.1-2011 (R2016)
S
M
c
B
90°
z
T
E
A
90°
F
R a
V
J H
180° N
y
e
b
e
x
W
180° N
360° N
Seating Curve Data—Inches
Min. R
Min. D s 0.134 0.204 0.317 0.317 0.405 0.474 0.631
Min. R
Min. D s 0.757 0.882 1.008 1.134 1.416 1.573 1.887
D s Tol. a
D s Tol. a
P
D r
P
D
r
0.250 0.375 0.500 0.500 0.625 0.750 1.000
0.130 0.200 0.306 0.312 0.400 0.469 0.625
0.0670 0.1020 0.1585 0.1585 0.2025 0.2370 0.3155
0.0055 0.0055 0.0060 0.0060 0.0060 0.0065 0.0070
1.250 1.500 1.750 2.000 2.250 2.500 3.000
0.750 0.875 1.000 1.125 1.406 1.562 1.875
0.3785 0.4410 0.5040 0.5670 0.7080 0.7870 0.9435
0.0070 0.0075 0.0080 0.0085 0.0090 0.0095 0.0105
a Plus tolerance only. P = pitch ( ae )
N = number of teeth D r = nominal roller diameter D s = seating curve diameter = 1.005 D r + 0.003 (in inches) R = 1 ⁄ 2 D s ( D s has only plus tolerance) A = 35 ° + (60 ° ÷ N ) B = 18 ° − (56 ° ÷ N ) ac = 0.8 D r M = 0.8 D r cos (35 ° + (60 ° ÷ N )) T = 0.8 D r sin (35 ° + (60 ° ÷ N )) E = 1.3025 D r + 0.0015 (in inches) Chord xy = (2.605 D r + 0.003) sin (9 ° − (28 ° ÷ N )) (in inches) yz = D r [1.4 sin (17 ° − (64 ° ÷ N )) − 0.8 sin (18 ° − (56 ° ÷ N ))] Length of a line between a and b = 1.4 D r W = 1.4 D r cos (180 ° ÷ N ) V = 1.4 D r sin (180 ° ÷ N )
F = D r [0.8 cos (18 ° − (56 ° ÷ N )) + 1.4 cos (17 ° − (64 ° ÷ N )) − 1.3025] − 0.0015 inch H = . . F D P 14 05 r 2 2 − − ^ h S = 0.5 P cos (180 ° ÷ N ) + H sin (180 ° ÷ N ) Approximate O.D. of sprocket when J is 0.3 P = P [0.6 + cot (180 ° ÷ N )] O.D. of sprocket when tooth is pointed + P cot (180 ° ÷ N ) + cos (180 ° ÷ N ) ( D s − D r ) + 2 H
Pressure angle for new chain = xab = 35 ° − (120 ° ÷ N ) Minimum pressure angle = xab − B = 17 ° − (64 ° ÷ N ); Average pressure angle = 26 ° − (92 ° ÷ N )
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