Machinery's Handbook, 31st Edition
2356
Metric Module Involute Splines Table 16. Formulas for F p , f f , and F β used to calculate λ
Spline Toler ance Class
Total Index Variation, in mm, F p
Total Profile Variation, in mm, f f
Total Lead Variation, in mm, F β
. . mZ 0001 25 2 63 π + ` j . . . mZ 0001 355 2 9 π + ` j . mZ 0001 5 2 125 π + ` j . . . mZ 0001 71 2 18 π + ` j
. . g 0001 08 + 4 _ i
4
0.001 [1.6
m (1 + 0.0125 Z ) + 10]
. . g 0001 10 + 5 _ i
5
0.001 [2.5
m (1 + 0.0125 Z ) + 16]
. . . g 0001 125 +63 _ i
6
0.001 [4 m (1 + 0.0125 Z ) + 25]
. g 0001 2 + 10 _ i
7
0.001 [6.3
m (1 + 0.0125 Z ) + 40]
g = length of spline in millimeters. Table 17. Reduction, es /tan α D , of External Spline Major and Minor Diameters Required for Selected Fit Classes
Standard Pressure Angle, in Degrees
30
37.5
45
30
37.5
45
30
37.5
45
All
Classes of Fit
Pitch Diameter D in mm
d
e
f
h
es /tan α D in millimeters
≤ 3 0.035 0.026 0.020 0.024 0.018 0.014 0.010 0.008 0.006 0 >3 to 6 0.052 0.039 0.030 0.035 0.026 0.020 0.017 0.013 0.010 0 > 6 to 10 0.069 0.052 0.040 0.043 0.033 0.025 0.023 0.017 0.013 0 > 10 to 18 0.087 0.065 0.050 0.055 0.042 0.032 0.028 0.021 0.016 0 > 18 to 30 0.113 0.085 0.065 0.069 0.052 0.040 0.035 0.026 0.020 0 > 30 to 50 0.139 0.104 0.080 0.087 0.065 0.050 0.043 0.033 0.025 0 > 50 to 80 0.173 0.130 0.100 0.104 0.078 0.060 0.052 0.039 0.030 0 > 80 to 120 0.208 0.156 0.120 0.125 0.094 0.072 0.062 0.047 0.036 0 > 120 to 180 0.251 0.189 0.145 0.147 0.111 0.085 0.074 0.056 0.043 0 > 180 to 250 0.294 0.222 0.170 0.173 0.130 0.100 0.087 0.065 0.050 0 > 250 to 315 0.329 0.248 0.190 0.191 0.143 0.110 0.097 0.073 0.056 0 > 315 to 400 0.364 0.274 0.210 0.217 0.163 0.125 0.107 0.081 0.062 0 > 400 to 500 0.398 0.300 0.230 0.234 0.176 0.135 0.118 0.089 0.068 0 > 500 to 630 0.450 0.339 0.260 0.251 0.189 0.145 0.132 0.099 0.076 0 > 630 to 800 0.502 0.378 0.290 0.277 0.209 0.160 0.139 0.104 0.080 0 > 800 to 1000 0.554 0.417 0.320 0.294 0.222 0.170 0.149 0.112 0.086 0 These values are used with the applicable formulas in Table 13.
π m
c F
0.5 π m Internal Spline 30°
0.5 π m
rfi = 0.2m Min.*
0.75m
0.75m 0.5m
External Spline Reference Line
*If full radius is smaller use full radius
Min h s = 0.6m Min c F = 0.1m
rfe = 0.2m Min.*
Fig. 6a. Profile of Basic Rack for 30 ° Flat Root Spline
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