17
Splines
Tllis Tllis repor reportt has been publish published ed separa separately tely as ANSI ANSI B92.1, B92.1, avail available able from from ~(Hll:tyo ~(Hll:tyoff Autom Automotive otive Engineers, Engineers, Inc., 400 Comm Commonw onwealth ealth Drive, Drive, WarrenWarren Penna. Penna. 15096. 15096.
_ . k ,
,PARALLEL
,IROACHED
; '"
~.'IHlrl r.l of ""Ill
Ie
SIDE SIDE SPLINES FOR SOFT HOLES HOLES IN FITT FITTIN INGS GS-S -SAE AE
Broaches Broaches Division Division
approved approved January 1914, 1914, revis revised ed by Shaft Shaft Fittin Fittings gs 1975.
J499a J499a Divisi Division on
March March
1920, 1920, and review reviewed ed January 1936. Last revised by ANSI ANSI B92 Committee Committee--
Splines Splines and Inspection-October
'hisInformation tion Repor Reportt along along with SAE SAE J500 J500 and J50 J50 I is genera generally lly underunderI'hisInforma jliHl jliHld dto be techni technica cally lly obso obsole lete te for for the design design of new new appli applica catio tions ns,, Howev owever er,, it 1 _ listed listed for for those those exist existing ing appli applica catio tions ns wher where e it may may be require required, d, For For the I!;-,il(nof new applica applications, tions, consult consult ANSI ANSI B92.1-1970-In B92.1-1970-Involute volute Splines Splines and '1"'l'cctions '1"'l'cctions Standard. Standard.
IThe IThe dime dimensio nsions, ns, given given in inches inches,, apply apply only to soft soft broached broached holes. holes. The Ihul'ld Ihul'ldim imens ension ions s depend depend upon upon the shape and materia materiall of the the parts, parts, their their heat heat jlf'lI jlf'lIlm lmen ent, t, and and metho methods ds of mach machini ining ng to give give the requ require ired d fit. fit. The The metho method d amou amount nt of "bre "break aking ing" " shar sharp p corn corner ers s and and edge edges s also also depen depend d upon upon the the "'lilditions and requirements requirements of each each application. application. The The formula formula for theore theoretica ticall torque torque capaci capacity ty (press (pressure ure on sides of spline spline)) in ,~I,'h-p ,~I,'h-poun ounds ds per inch of bearing bearing length length (L) (L) and at 1000 1000 psi pressur pressure e is:
wider wider toleran tolerances ces may may be permit permitted ted on both the large large and small small diame diameters ters.] .] Radii Radii on corners corners of splines splines are not to exceed exceed 0.015 0.015 in, in, Spline Splines s shall not be more more than than 0,006 0,006 in per ft out of parall parallel el with with respec respectt to the axis axis of the shaft. No No allow allowance ance is made made for for radii radii on corn corner ers s or for for cleara clearanc nce. e. Dime Dimens nsion ions s are are intende intended d to apply to only the soft broached broached hole. hole. Allow Allowanc ance e must must be made made for machining. For For valu values es of D, W, d, h, and and T for for four four-, -, six-, six-, ten-, ten-, and and sixtee sixteenn-sp splin line e fittings fittings,, see Tabl Tables es 2, 3, 4, and 5, respectiv respectively. ely.
f."d
W
No. No. of Splln••
The The toler toleran ance ces s allow allowed ed are are for for good good cons constru tructi ction on and and may may be read readily ily 'Illuintainedby 'Illuintainedby usual broaching broaching methods. methods. The tolerances tolerances selected selected for the large , lid lid small small diameters eters will will depend depend upon upon wheth whether er the fit between between the mating mating finall lly y made, ade, is on the the larg large e or the smal smalll diam diameter eter.. The othe other r Al'lS, as fina 'Iumeter, eter, being design designed ed for clearan clearance ce may may have have a wider manuf manufact acturin uring g ukranc ukrance. e. If the final fit betwe between en the parts parts is on on only the sides sides of the spline, spline,
FIG. FIG. I-DI I-DIM MENSION SIONS
6 10 16
FOR 4, 6, 10. AND 16 SPL SPLIN INE E 17.01
Permanent
Fit Fit h
.c
B To Slide when when Not Not
A
For All Fit.
u n d er er
h
d
C T o S l id id e u nd nd e r
L o ad ad
d
Lood d
h
------- --- ------- --
0.241" 0.250 0.156 0.098
0.075 0.050 0.045 0.045
FITT FITTINGS INGS
0.850 0.9 0.90 00 0.9 0.91 10 0.9 0.91 10
(SEE (SEE TAB TABLE
·0.1 ·0.125 25 0.075 0.070 0.070
J)
0.750
0. 0.850 0.8 0.860 0.860
0.100 0.095 0.095
0.800 0.810 0.810
For All Fib Nominal
4.4, 4.4, Permanent Permanent
~
d
W
0
Max
Min
Min
I
~
,:
Max
Max
Min
Mln
Ma Max
Ml Mln
010
7/8 0.874 0.875 0.209 0.211 0.743 0.744 0.065 0.999 1.000 0.239 0.241 0.849 0.850 0.074
0.10 0.109 0.12 0.125 5
167 219
0.271 0.955 0.956 0.08 0.083 0.08 0.084 0.301 1.061 1.062 0.093 0.0 0.094 94 0.331 1.168 1.169 0.1 0.102 0.10 0.103
0.843 0.844 0.140 0.141 175 0.84 .156 217 0.936 0.937 0.155 0.156 .172 262 1.030 1.031 0.171 0.172
277 341 414
1.1/2 1.499 1.500 0.359 0.361 1.274 1.275 0.111 0.112 .112 1-5/8 1.624 1.625 0.389 0.391 1.380 1.381 0.121 0.122 1-3/4 1.749 1.750 0.420 0.422 1.486 1.487 0.130 0.130 0.131
311 1.124 1.125 0.186 0.187 367 1.218 1.219 0.202 0.203 424 1.311 1.312 0.218 0.219 .219
491 577 670
1-1/8 1.1/4 1-3/8
2 2.1/4 2.1/ 2.1/2 2
3
1.124 1.249 1.374
1.125 0.269 1.250 0.299 1.375 0.329
2.000 0.479 2.250 0.539 2.50 2.500 0.59 0.599 9
1.998 2.248 2.49 2.498 8
0.066 0.075
0.482 1.698 1.700 0.148 0.15 0.150 0.542 1.910 1.912 0.1 0.167 0.16 0.169 0.60 0.602 2 2.12 2.123 2.125 0.185 0.187
2.998 3.000 0.720 0.723 2.548 2.550
0.22 0.223 3
0.22 0.225 5
W
0
Ma Max
-- -- -- ---- ----------120.750 0.179 0.181 0.636 0.637 0.0 3/4 0.749 0.750 0.094 3 0.055 55 0.056 78 0.56 0.561 0.56 0.562 0.09 0.093 0.09 1
lOB, lOB, ToSlide ToSlide whon Not under Load Load
d
107 107 139 139
0.65 0.655 5 0.74 0.749 9
0.65 0.656 6 0.75 0.750 0
0.10 0.108 0.12 0.124 4
2.250 0.373 0.37 0.375
Mln Max Mln
Min
Max
Mln
Max
1
Max
Mln
120 0.749 0.750 0.115 0.117 0.682 0.683 165 0.874 0.875 0.135 0.137 0.795 0.796 215 0.999 1.000 0.154 0.156 0.909 0.910 215
3/4 3/4 7/8 7/8
0.645 0.753 0.860
Fit
6B, To Slide when
6C, To Slido when
No' under ~oad
under Load
ominal
010
W
()
Mln
Max
Min
Ma Max
Mi n
1.214 1.215 732 1.214 967 860 1.315 1.316 1135 997 1.417 1.418 1316
1.720 0 1302 1302 1.618 1.620 1720 1.818 1.820 0.309 -0.312 860 1.718 1.72 0.34 0.348 8 0.35 0.351 1 2.046 2.048 1088 1088 1.933 1.935 1647 1.821 1.823 2176 1343 2.148 2.150 2034 2034 2.02 2.023 3 2.02 2.025 5 2688 0.38 0.387 0.39 0.390 2.27 2.273 2.27 2.275 1343
0.465 0.468 2.728 2.730 2929 2.42 2.428 8 1934 1934 2.578 2.580 2929 2.998 3.000 0.465 3.010 0 3987 3987 2.8 0.543 43 0.54 0.546 6 3.18 3.182 2 3.18 3.185 5 2632 3.007 3.01 2.832 32 3.49 3.497 3.500 0.5 3.43 3.437 7 3.440 5208 5208 3.23 3.237 3.997 4.000 0.621 0.624 3.637 3.640 3438
3 3-1/2 1/2
-3/4
1
0.933 5 997 6.000 0.93 .
0.93 0.936
5.45 5.457
5.46 5.460
7735
16A, Pormanont Fit
For All Fill
80 0.6 0.637 1.09 0.743 143 143 0.84 0.849 9
0.599 117 0.59 0.638 0.699 159 0.69 0.744 0.799 9 0.85 0.850 0 208 0.79
1.013 1.125 0.279 0.281 1.012 1.1/8 1.124 1-1/4 1.249 1.250 0.311 0.313 1.124 1.125 0.342 0.344 1.237 1.2 1.238 1-3/8 1.374 1.375 0.34
180 0.955 223 1.062 269 1.168
0.956 1.063 1.169
263 0.89 0.899 0.900 325 325 0.99 0.999 1.000 393 1.099 1.100
342 421 510 510
0.373 0.375 1.349 1.3 1.350 50 1.1/2 1.499 1.500 0.37 0.406 6 1.46 1.462 2 1.463 1.624 1.625 0.404 0.40 1-5/8 1.624 1.575 1-3/4 1.749 1.750 0.436 0.438 1.574
321 1.274 1.275 376 1.380 1.381 436 1.487 1.4 1.488
468 1.199 1.200 550 1.299 1.300 637 1.39 1.399 1.400
608 713 827 827
1.998 2.000 0.497 0.500 1.798 1.800 2 .560 0.56 0.563 2.023 2.02 2.025 2·1/4 2.248 2.250 0.560 0.622 22 0.62 0.625 2.248 2.25 2.250 2-1/2 2.493 2.500 0.6
570 1.698 1.700 833 1.598 1.600 1080 1.913 1052 1.798 1.800 1367 721 1.911 891 2.12 2.123 2.12 2.125 1300 1.998 2.000 1688 I
,
0
d
010
-152 152
0.674 0.675 0.749 0.750 0.186 0.188 0.6 0.875 5 0.21 0.217 7 0.21 0.219 9 0.78 0.787 0.788 7/8 0.874 0.87 0.248 48 0.25 0.250 0 0.89 0.899 9 0.900 0.99 0.999 9 1.00 1.000 0 0.2 1
0.600 0.700 0.80 0.800 0
5.160 5.15 5.157 5.160
6591 8137 8137 9846
207 270 270
Max
Mln
d
W
0
Mln Mln
L o ad ad
underload
d
d
Mln Max Mln
Mln
Max
T
Max
Mln
7/
s
1
1
/S
0.749
3/ 4
1
Min.
3255 3255
.025 2.02 2.022 2.025
4299 4299
4687 2.577 2.580 4687 3 2.997 3.000 0.291 0.294 2.727 2.730 3094 2.57 3.010 0 6378 6378 3.185 5 4212 3.007 3.01 3-1/2 3.497 3.500 0.340 0.343 3.182 3.18
2.42 2.427 2.43 2.430 .835 2.83 2.832 2 2.835
6190 8426 8426
2.1/ 2.1/2 2
2.49 2.497 7 2.500 0.242
0.245 2.273 2.275 2149
0.392 3.997 4.000 0.389 0.39 4 4.1/2 4.497 4.500 0.438 0.441
2.150 0 2.147 2.147 2.15
3.440 0 8333 8333 3.23 3.237 7 5501 3.437 3.44 6962 3.867 3.870 10546 3.642
3.637 3.640 4.092 4.09 4.095 5
550 5 4.997 5.000 0.487 0.490 4.547 4.550 0.539 5.002 5.005 5.1/2 5.497 5.500 0.536 0.539
4.300 13020 8595 8595 4.297 4.300 15754 10395 4.727 4.730 15754
4.047 4.452
,
d
4A-P 4A-Per erma mane nent nt
0.750
Min.
Max.
0. 0 .179
0.181
Min.
Min.
0.636
0.637
0.055
0. 0.211
0.743
0.744
0.065
0.849
0.850
0.074
0. 0.955
0.956
0. 0.875
0.999
1.000
0. 0.239
0.241
1.125
0. 0.269
0.271
h
Ma Max.
0.874
1.124
0.209
Fit Fit
d
W
Ma Max.
Max
----- ------------------- ---------0.1-96- 1.817 1.820 1375 1.717 1.720 2083 1.617 1.620 2751 1.997 2.000 0.193 2
For All Fits Fits
Diam
15475 15475
16C, To Slido whon
T
d
D
3.64 3.645 8705 4.05 4.050 0 10746 4.45 4.455 13003
11718 4.857 4.857 4.860
4-Spline 4-Spline Fittings Fittings
Nom.
2.43 2.430 0 3869 2.835 5266 3.24 3.240 6878
3.64 3.642 4.04 4.047 4.452
16B, To Slide whon N o ! u n d er er
Nominal minal
~IMax
545 672 813
483 1.289 1.290 566 1.397 1.398 658 1.504 1.505
I
--~I~ --
Max
241 329 430
TABLE5-SIXTEEN SPLINEFITTINGS
T
T
0.608 0.709 0.810
1.500 0.23 1.1/2 1.499 0.232 2 0.234 1.364 1.365 1.5/8 1.624 1.625 0.252 0.254 1.478 1.479 1.3/4 1.749 1.750 1.750 0.27 0.271 0.27 0.273 1.592 1.593
~
d
d
183 0.60 0.607 248 0.708 326 0.8 0.809
412 0.91 0.910 0.911 508 1.012 1.013 1.113 1.114 614 1.113
6
P er er m an an e nt nt
Max
0.967 0.968 271 0.967 336 1.074 1.075 1.183 406 1.182
2 2.000 0 1.998 2.00 2.1/4 2.248 2.25 2.250 0 2.1/2 2.498 2.500
1969
0.644 0.752 0.859
3.870 70 4.1/2 1/2 4.49 4.497 4.50 4.500 0.69 0.699 0.702 4.092 4.095 4351 3.867 3.8 0.777 0.78 0.780 4.54 4.547 7 4.55 4.300 0 5 4.550 5371 4.29 4.297 7 4.30 4.997 5.000 5.000 0.77 4,727 4.73 4.730 5.1/2 5.497 5.500 0.855 0.858 5.00 5.002 5.00 5.005 6500 4,72
6 A, A,
r
I
Mln
1.1/8 1.124 1.125 0.174 0.176 1.023 1.0 1.024 1.249 1.250 0.19 1.1/4 1.249 0.193 3 0.195 1.137 1.138 1.375 0.21 1.3/8 1.374 0.213 0.215 1.250 1.251
.(
For All Fit>
d
T
---------------------------------------
875 555 1.498 1.500 0.248 0.250 703 1.685 1.687 0.279 0.281 1106 0.312 1365 865 1.873 1.875 0.310 0.31 1249 1249 2.248
10C, To Slido whon undorLoad
d T
Max
Min
lOA, lOA, Perm Perman anont ont Fit
Nominal
T
T
010
For All Fits
49, To Slido whon Not under Load
Fit
0.083
L T
Max. 0.056
78
0.066
107
0.075
139
0.084
175
3.24 3.240 0 11005 3.64 3.645 5 13928 928
d
d
d
4-Spline 4-Spline Fittings Fittings 4A-P 4A-Per erma mane nent nt
For All Fits Fits
D
Nom.
Diam
7/
s
1
1
0.749
3/ 4
1
Min.
0.750
Min.
Max.
0. 0 .179
0.181
Min.
Ma Max.
Min.
0.636
0.637
0.055
0. 0.211
0.743
0.744
0.065
0.849
0.850
0.074
0.075
139
1.125
0. 0.269
0.271
0. 0.955
0.956
0.083
0.084
175
1.250
0. 0.299
0.301
1. 1 .061
1.062
0.093
0.094
217
0.331
1. 1.168
1.169
0.102
0.103
262
0.361
1. 1.274
1.275
0.111
0.112
311
11/2
1.499
1.500
0.359
15/S
1.624
1.625
0. 0.389
0.391
1.380
1\
1.749
1.750
0.420
0.422
1.998
2.248
2.000
0.479
0. 0.482
2.250
0.539
0.542
0. 0.602
2.498
2.500
0.599
2.998
3.000
0. 0.720
0.723
1.381
0.121
0.122
367
1.486
1.487
0.130
0.131
424
1.698
1.700
0.148
0.150
555
1. 1 .910
1.912
0. 0.167
0.169
703
2.123
2.125
0. 0.185
0.187
865
2. 2.548
2.550
0.223
0.225
4-Spline 4-Spline Fittings Fittings 4B--T 4B--To o
Slide Slide-No -No
1249
6-Spline 6-Spline Fittings Fittings
Load Load
d
Nom. Diam.
107
0.241
0. 0.329
0.066
0. 0.239
3
1.375
78
1.000
1.374
21/2
0.056
13/S
2\
L T
Max.
0.999
1.249
0. 0.875
11/4
2
0.209
h
0.874
1.124
/S
d
W
Ma Max.
Fit Fit
For All Fits Fits h
D
W
Min.
Ma Max.
Min.
Max.
TL
3/ 4
0.561
0. 0.562
0.093
0.094
123
0.749
0.750
0.186
7/ S
0.655
0.656
0.108
0.109
167
0.874
0.875
0.217
0.219
1
0.749
0. 0.750
0.124
0.125
21 219
0.999
1.000
0.248
0.250
0.843
0. 0.844
0.140
0.141
277
1.124
1.125
0.279
0.281
0.937
0.155
0.156
341
1.250
0.311
0.313
11/S
0.936
1\
Min.
Max.
1.249
Mi Min.
Max. 0.188
13/S
1.030
1.031
0. 0.171
0.172
414
1.374
1.375
0.342
0.344
11/2
1.124
1.125
0. 0.186
0.187
491
1.499
1.500
0.373
0.375
0.202
0.203
577
1.624
1.625
0.219
670
1.749
875
1.998
15/S
1.218
1.219
13/4
1.311
1.312
0. 0.218
2
1.498
1.500
0.248
0.250
2\
1.685
1.687
0.279
0.281
11 1 106
2.248
0.404
0.406
1. 1 .750
0.436
0.438
2. 2.000
0.497
2.250
0.560
0.500 0.563
1.873
21/2 3
2.248
1.875
2. 2.250
0. 0.310 0.373
0.312
1365
0. 0.375
1969
2.498
2.500
0.622
2.998
3.000
0.747
0.625
0.750