Tiêu chuẩn iso 04156 2 2005

INTERNATIONAL
STANDARD

ISO
4156-2
First edition
2005-10-01

Straight cylindrical involute splines —
Metric module, side fit —
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Part 2:
Dimensions
Cannelures cylindriques droites à flancs en développante — Module
métrique, à centrage sur flancs —
Partie 2: Dimensions

Reference number
ISO 4156-2:2005(E)

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ii
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ISO 4156-2:2005(E)

Contents

Page

Foreword............................................................................................................................................................ iv
Introduction ........................................................................................................................................................ v

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1

Scope ......................................................................................................................................................1

2

Normative references ............................................................................................................................1

3

Terms and definitions ...........................................................................................................................1

4

Symbols and abbreviated terms ..........................................................................................................2

5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
5.9
5.10
5.11
5.12
5.13
5.14
5.15
5.16
5.17
5.18
5.19
5.20
5.21
5.22
5.23
5.24
5.25
5.26
5.27
5.28

5.29
5.30
5.31
5.32
5.33
5.34
5.35
5.36
5.37

Geometry and inspection dimensions.................................................................................................3
30° pressure angle, module 0,5 ............................................................................................................3
30° pressure angle, module 0,75 ..........................................................................................................7
30° pressure angle, module 1 .............................................................................................................11
30° pressure angle, module 1,25 ........................................................................................................15
30° pressure angle, module 1,5 ..........................................................................................................19
30° pressure angle, module 1,75 ........................................................................................................23
30° pressure angle, module 2 .............................................................................................................27
30° pressure angle, module 2,5 ..........................................................................................................31
30° pressure angle, module 3 .............................................................................................................35
30° pressure angle, module 4 .............................................................................................................39
30° pressure angle, module 5 .............................................................................................................43
30° pressure angle, module 6 .............................................................................................................47
30° pressure angle, module 8 .............................................................................................................51
30° pressure angle, module 10 ...........................................................................................................55
37,5° pressure angle, module 0,5 .......................................................................................................59
37,5° pressure angle, module 0,75 .....................................................................................................63
37,5° pressure angle, module 1 ..........................................................................................................67
37,5° pressure angle, module 1,25 .....................................................................................................71
37,5° pressure angle, module 1,5 .......................................................................................................75

37,5° pressure angle, module 1,75 .....................................................................................................79
37,5° pressure angle, module 2 ..........................................................................................................83
37,5° pressure angle, module 2,5 .......................................................................................................87
37,5° pressure angle, module 3 ..........................................................................................................91
37,5° pressure angle, module 4 ..........................................................................................................95
37,5° pressure angle, module 5 ..........................................................................................................99
37,5° pressure angle, module 6 ........................................................................................................103
37,5° pressure angle, module 8 ........................................................................................................107
37,5° pressure angle, module 10 ......................................................................................................111
45° pressure angle, module 0,25 ......................................................................................................115
45° pressure angle, module 0,5 ........................................................................................................119
45° pressure angle, module 0,75 ......................................................................................................123
45° pressure angle, module 1 ...........................................................................................................127
45° pressure angle, module 1,25 ......................................................................................................131
45° pressure angle, module 1,5 ........................................................................................................135
45° pressure angle, module 1,75 ......................................................................................................139
45° pressure angle, module 2 ...........................................................................................................143
45° pressure angle, module 2,5 ........................................................................................................147

Annex A (informative) Inspection dimensions for span measurement .....................................................151

iii

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ISO 4156-2:2005(E)

Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards bodies
(ISO member bodies). The work of preparing International Standards is normally carried out through ISO
technical committees. Each member body interested in a subject for which a technical committee has been
established has the right to be represented on that committee. International organizations, governmental and
non-governmental, in liaison with ISO, also take part in the work. ISO collaborates closely with the
International Electrotechnical Commission (IEC) on all matters of electrotechnical standardization.
International Standards are drafted in accordance with the rules given in the ISO/IEC Directives, Part 2.
The main task of technical committees is to prepare International Standards. Draft International Standards
adopted by the technical committees are circulated to the member bodies for voting. Publication as an
International Standard requires approval by at least 75 % of the member bodies casting a vote.
Attention is drawn to the possibility that some of the elements of this document may be the subject of patent
rights. ISO shall not be held responsible for identifying any or all such patent rights.
ISO 4156-2 was prepared by Technical Committee ISO/TC 14, Shafts for machinery and accessories.

ISO 4156 consists of the following parts, under the general title Straight cylindrical involute splines — Metric
module, side fit:


Part 1: Generalities



Part 2: Dimensions



Part 3: Inspection

iv

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This first edition of ISO 4156-2, together with ISO 4156-1 and ISO 4156-3, cancels and replaces
ISO 4156:1981 and ISO 4156:1981/Amd 1:1992, of which it constitutes a technical revision. The values and
tables are the same as in ISO 4156:1981; however, some explanations and definitions have been clarified.


ISO 4156-2:2005(E)

Introduction
ISO 4156 provides the data and indications necessary for the design, manufacture and inspection of straight
(non-helical) side-fitting cylindrical involute splines.
Straight cylindrical involute splines manufactured in accordance with ISO 4156 are used for clearance, sliding
and interference connections of shafts and hubs. They contain all the necessary characteristics for the
assembly, transmission of torque, and economic production.
The nominal pressure angles are 30°, 37,5° and 45°. For electronic data processing purposes, the form of
expression 37,5° has been adopted instead of 37°30’. ISO 4156 establishes a specification based on the
following modules:



for pressure angles of 30° and 37,5° the module increments are

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0,5; 0,75; 1; 1,25; 1,5; 1,75; 2; 2,5; 3; 4; 5; 6; 8; 10


for pressure angle of 45° the module increments are
0,25; 0,5; 0,75; 1; 1,25; 1,5; 1,75; 2; 2,5

v

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INTERNATIONAL STANDARD

ISO 4156-2:2005(E)

Straight cylindrical involute splines — Metric module, side fit —
Part 2:
Dimensions

1

Scope

This part of ISO 4156 specifies geometry and inspection dimensions for the design and manufacture of
straight (non-helical) side-fitting cylindrical involute splines.
Limiting dimensions, tolerances, manufacturing errors and their effects on the fit between connecting coaxial
spline elements are defined and tabulated. Linear dimensions are expressed in millimetres and angular
dimensions in degrees.
The specified diameters for external splines in the geometry tables and the values in the inspection dimension
tables are only valid for fundamental deviation “h”.
For fundamental deviations other than “h”, diameters and tooth thicknesses are calculated for external splines
according to the formulae in ISO 4156-1 and inspection dimensions according to the formulae in ISO 4156-3.
--`,,```,,,,````-`-`,,`,,`,`,,`---

2

Normative references

The following referenced documents are indispensable for the application of this document. For dated

references, only the edition cited applies. For undated references, the latest edition of the referenced
document (including any amendments) applies.
ISO 4156-1:2005, Straight cylindrical involute splines — Metric module, side fit — Part 1: Generalities
ISO 4156-3:2005, Straight cylindrical involute splines — Metric module, side fit — Part 3: Inspection

3

Terms and definitions

For the purposes of this document, the terms and definitions given in ISO 4156-1 apply.

1

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ISO 4156-2:2005(E)

Symbols and abbreviated terms

D

Pitch diameter

mm

DFe max

Maximum form diameter, external spline

mm

DFi min

Minimum form diameter, internal spline

mm

DRe

Diameter of measuring ball or pin for external spline

mm

DRi

Diameter of measuring ball or pin for internal spline

mm

Db

Base diameter

mm

Dee max

Maximum major diameter, external spline

mm

Dei max

Maximum major diameter, internal spline

mm

Die min

Minimum major diameter, external spline

mm

Dii min

Minimum diameter, internal spline

mm

Emax

Maximum actual space width

mm

Emin

Minimum actual space width

mm

Ev min

Minimum effective space width

mm

Ke

Approximation factor for external spline

—

Ki

Approximation factor for internal spline

—

MRe

Measurement over two balls or pins, external spline

mm

MRi

Measurement between two balls or pins, internal spline

mm

Smax

Maximum actual tooth thickness

mm

Smin

Minimum actual tooth thickness

mm

Sv max

Maximum effective tooth thickness

mm

W

Measurement over k teeth, external spline

mm

z

Number of teeth

—

k

Number of measured teeth

—

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4

2

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ISO 4156-2:2005(E)

5
5.1

Geometry and inspection dimensions
30° pressure angle, module 0,5
Table 1 — Geometry internal spline, α = 30°, m = 0,5, flat and fillet root, Ev min = 0,785
z
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28

29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58

59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88

89
90
91
92
93
94
95
96
97
98
99
100

D
3,00
3,50
4,00
4,50
5,00
5,50
6,00
6,50
7,00
7,50
8,00
8,50
9,00
9,50
10,00
10,50

11,00
11,50
12,00
12,50
13,00
13,50
14,00
14,50
15,00
15,50
16,00
16,50
17,00
17,50
18,00
18,50
19,00
19,50
20,00
20,50
21,00
21,50
22,00
22,50
23,00
23,50
24,00
24,50
25,00
25,50

26,00
26,50
27,00
27,50
28,00
28,50
29,00
29,50
30,00
30,50
31,00
31,50
32,00
32,50
33,00
33,50
34,00
34,50
35,00
35,50
36,00
36,50
37,00
37,50
38,00
38,50
39,00
39,50
40,00
40,50

41,00
41,50
42,00
42,50
43,00
43,50
44,00
44,50
45,00
45,50
46,00
46,50
47,00
47,50
48,00
48,50
49,00
49,50
50,00

Db
2,5981
3,0311
3,4641
3,8971
4,3301
4,7631
5,1962
5,6292
6,0622

6,4952
6,9282
7,3612
7,7942
8,2272
8,6603
9,0933
9,5263
9,9593
10,3923
10,8253
11,2583
11,6913
12,1244
12,5574
12,9904
13,4234
13,8564
14,2894
14,7224
15,1554
15,5885
16,0215
16,4545
16,8875
17,3205
17,7535
18,1865
18,6195
19,0526

19,4856
19,9186
20,3516
20,7846
21,2176
21,6506
22,0836
22,5167
22,9497
23,3827
23,8157
24,2487
24,6817
25,1147
25,5477
25,9808
26,4138
26,8468
27,2798
27,7128
28,1458
28,5788
29,0119
29,4449
29,8779
30,3109
30,7439
31,1769
31,6099
32,0429

32,4760
32,9090
33,3420
33,7750
34,2080
34,6410
35,0740
35,5070
35,9401
36,3731
36,8061
37,2391
37,6721
38,1051
38,5381
38,9711
39,4042
39,8372
40,2702
40,7032
41,1362
41,5692
42,0022
42,4352
42,8683
43,3013

Dei max
Fillet root

Dei max

DFi min

Dii min

4,06
4,56
5,07
5,57
6,07
6,57
7,07
7,57
8,08
8,58
9,08
9,58
10,08
10,58
11,08
11,58
12,09
12,59
13,09
13,59
14,09
14,59
15,09
15,59

16,09
16,59
17,09
17,60
18,10
18,60
19,10
19,60
20,10
20,60
21,10
21,60
22,10
22,60
23,10
23,60
24,11
24,61
25,11
25,61
26,11
26,61
27,11
27,61
28,11
28,61
29,11
29,61
30,11
30,61

31,11
31,61
32,12
32,62
33,12
33,62
34,12
34,62
35,12
35,62
36,12
36,62
37,12
37,62
38,12
38,62
39,12
39,62
40,12
40,62
41,12
41,63
42,13
42,63
43,13
43,63
44,13
44,63
45,13
45,63

46,13
46,63
47,13
47,63
48,13
48,63
49,13
49,63
50,13
50,63
51,13

3,91
4,41
4,92
5,42
5,92
6,42
6,92
7,42
7,93
8,43
8,93
9,43
9,93
10,43
10,93
11,43
11,94
12,44

12,94
13,44
13,94
14,44
14,94
15,44
15,94
16,44
16,94
17,45
17,95
18,45
18,95
19,45
19,95
20,45
20,95
21,45
21,95
22,45
22,95
23,45
23,96
24,46
24,96
25,46
25,96
26,46
26,96
27,46

27,96
28,46
28,96
29,46
29,96
30,46
30,96
31,46
31,97
32,47
32,97
33,47
33,97
34,47
34,97
35,47
35,97
36,47
36,97
37,47
37,97
38,47
38,97
39,47
39,97
40,47
40,97
41,48
41,98
42,48

42,98
43,48
43,98
44,48
44,98
45,48
45,98
46,48
46,98
47,48
47,98
48,48
48,98
49,48
49,98
50,48
50,98

3,60
4,10
4,60
5,10
5,60
6,10
6,60
7,10
7,60
8,10
8,60
9,10

9,60
10,10
10,60
11,10
11,60
12,10
12,60
13,10
13,60
14,10
14,60
15,10
15,60
16,10
16,60
17,10
17,60
18,10
18,60
19,10
19,60
20,10
20,60
21,10
21,60
22,10
22,60
23,10
23,60
24,10

24,60
25,10
25,60
26,10
26,60
27,10
27,60
28,10
28,60
29,10
29,60
30,10
30,60
31,10
31,60
32,10
32,60
33,10
33,60
34,10
34,60
35,10
35,60
36,10
36,60
37,10
37,60
38,10
38,60
39,10

39,60
40,10
40,60
41,10
41,60
42,10
42,60
43,10
43,60
44,10
44,60
45,10
45,60
46,10
46,60
47,10
47,60
48,10
48,60
49,10
49,60
50,10
50,60

2,72
3,18
3,66
4,14
4,62
5,11

5,60
6,09
6,58
7,08
7,57
8,07
8,56
9,06
9,56
10,05
10,55
11,05
11,55
12,05
12,54
13,04
13,54
14,04
14,54
15,04
15,54
16,03
16,53
17,03
17,53
18,03
18,53
19,03
19,53
20,03

20,53
21,03
21,53
22,02
22,52
23,02
23,52
24,02
24,52
25,02
25,52
26,02
26,52
27,02
27,52
28,02
28,52
29,02
29,52
30,02
30,52
31,02
31,52
32,02
32,52
33,02
33,52
34,02
34,52
35,02

35,52
36,02
36,51
37,01
37,51
38,01
38,51
39,01
39,51
40,01
40,51
41,01
41,51
42,01
42,51
43,01
43,51
44,01
44,51
45,01
45,51
46,01
46,51
47,01
47,51
48,01
48,51
49,01
49,51

Flat

--`,,```,,,,````-`-`,,`,,`,`,,`---

4H

5H

6H

7H

0,808
0,809
0,809
0,809
0,809
0,810
0,810
0,810
0,810
0,811
0,811
0,811
0,811
0,811
0,811
0,812
0,812
0,812

0,812
0,812
0,812
0,812
0,813
0,813
0,813
0,813
0,813
0,813
0,813
0,813
0,814
0,814
0,814
0,814
0,814
0,814
0,814
0,814
0,814
0,815
0,815
0,815
0,815
0,815
0,815
0,815
0,815
0,815

0,815
0,815
0,816
0,816
0,816
0,816
0,816
0,816
0,816
0,816
0,816
0,816
0,816
0,816
0,817
0,817
0,817
0,817
0,817
0,817
0,817
0,817
0,817
0,817
0,817
0,817
0,817
0,817
0,818
0,818

0,818
0,818
0,818
0,818
0,818
0,818
0,818
0,818
0,818
0,818
0,818
0,818
0,818
0,819
0,819
0,819
0,819

0,822
0,823
0,823
0,824
0,824
0,824
0,825
0,825
0,826
0,826
0,826
0,826

0,827
0,827
0,827
0,828
0,828
0,828
0,828
0,829
0,829
0,829
0,829
0,829
0,830
0,830
0,830
0,830
0,830
0,831
0,831
0,831
0,831
0,831
0,831
0,832
0,832
0,832
0,832
0,832
0,832
0,833

0,833
0,833
0,833
0,833
0,833
0,834
0,834
0,834
0,834
0,834
0,834
0,834
0,834
0,835
0,835
0,835
0,835
0,835
0,835
0,835
0,835
0,836
0,836
0,836
0,836
0,836
0,836
0,836
0,836
0,837

0,837
0,837
0,837
0,837
0,837
0,837
0,837
0,837
0,838
0,838
0,838
0,838
0,838
0,838
0,838
0,838
0,838
0,838
0,839
0,839
0,839
0,839
0,839

0,843
0,844
0,845
0,845
0,846
0,847

0,847
0,848
0,848
0,849
0,849
0,850
0,850
0,851
0,851
0,851
0,852
0,852
0,853
0,853
0,853
0,854
0,854
0,854
0,855
0,855
0,855
0,856
0,856
0,856
0,857
0,857
0,857
0,857
0,858
0,858

0,858
0,858
0,859
0,859
0,859
0,859
0,860
0,860
0,860
0,860
0,861
0,861
0,861
0,861
0,861
0,862
0,862
0,862
0,862
0,863
0,863
0,863
0,863
0,863
0,863
0,864
0,864
0,864
0,864
0,864

0,865
0,865
0,865
0,865
0,865
0,866
0,866
0,866
0,866
0,866
0,866
0,867
0,867
0,867
0,867
0,867
0,867
0,868
0,868
0,868
0,868
0,868
0,868
0,869
0,869
0,869
0,869
0,869
0,869

0,878
0,879
0,880
0,881
0,883
0,884
0,884
0,885
0,886
0,887
0,888
0,889
0,889
0,890
0,891
0,891
0,892
0,893
0,893
0,894
0,894
0,895
0,895
0,896
0,897
0,897
0,898
0,898
0,899
0,899

0,899
0,900
0,900
0,901
0,901
0,902
0,902
0,902
0,903
0,903
0,904
0,904
0,904
0,905
0,905
0,906
0,906
0,906
0,907
0,907
0,907
0,908
0,908
0,908
0,909
0,909
0,909
0,910
0,910
0,910

0,911
0,911
0,911
0,912
0,912
0,912
0,912
0,913
0,913
0,913
0,914
0,914
0,914
0,914
0,915
0,915
0,915
0,916
0,916
0,916
0,916
0,917
0,917
0,917
0,917
0,918
0,918
0,918
0,918
0,919

0,919
0,919
0,919
0,920
0,920

3

© ISO 2005 – All rights reserved

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Emax

Not for Resale


ISO 4156-2:2005(E)

Table 2 — Geometry external spline, α = 30°, m = 0,5, flat and fillet root, Sv max = 0,785
z

--`,,```,,,,````-`-`,,`,,`,`,,`---

6
7
8
9

10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39

40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69

70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99

100

D
3,00
3,50
4,00
4,50
5,00
5,50
6,00
6,50
7,00
7,50
8,00
8,50
9,00
9,50
10,00
10,50
11,00
11,50
12,00
12,50
13,00
13,50
14,00
14,50
15,00
15,50
16,00

16,50
17,00
17,50
18,00
18,50
19,00
19,50
20,00
20,50
21,00
21,50
22,00
22,50
23,00
23,50
24,00
24,50
25,00
25,50
26,00
26,50
27,00
27,50
28,00
28,50
29,00
29,50
30,00
30,50
31,00

31,50
32,00
32,50
33,00
33,50
34,00
34,50
35,00
35,50
36,00
36,50
37,00
37,50
38,00
38,50
39,00
39,50
40,00
40,50
41,00
41,50
42,00
42,50
43,00
43,50
44,00
44,50
45,00
45,50
46,00

46,50
47,00
47,50
48,00
48,50
49,00
49,50
50,00

Db
2,5981
3,0311
3,4641
3,8971
4,3301
4,7631
5,1962
5,6292
6,0622
6,4952
6,9282
7,3612
7,7942
8,2272
8,6603
9,0933
9,5263
9,9593
10,3923
10,8253

11,2583
11,6913
12,1244
12,5574
12,9904
13,4234
13,8564
14,2894
14,7224
15,1554
15,5885
16,0215
16,4545
16,8875
17,3205
17,7535
18,1865
18,6195
19,0526
19,4856
19,9186
20,3516
20,7846
21,2176
21,6506
22,0836
22,5167
22,9497
23,3827
23,8157

24,2487
24,6817
25,1147
25,5477
25,9808
26,4138
26,8468
27,2798
27,7128
28,1458
28,5788
29,0119
29,4449
29,8779
30,3109
30,7439
31,1769
31,6099
32,0429
32,4760
32,9090
33,3420
33,7750
34,2080
34,6410
35,0740
35,5070
35,9401
36,3731
36,8061

37,2391
37,6721
38,1051
38,5381
38,9711
39,4042
39,8372
40,2702
40,7032
41,1362
41,5692
42,0022
42,4352
42,8683
43,3013

Dee max
3,50
4,00
4,50
5,00
5,50
6,00
6,50
7,00
7,50
8,00
8,50
9,00
9,50

10,00
10,50
11,00
11,50
12,00
12,50
13,00
13,50
14,00
14,50
15,00
15,50
16,00
16,50
17,00
17,50
18,00
18,50
19,00
19,50
20,00
20,50
21,00
21,50
22,00
22,50
23,00
23,50
24,00
24,50

25,00
25,50
26,00
26,50
27,00
27,50
28,00
28,50
29,00
29,50
30,00
30,50
31,00
31,50
32,00
32,50
33,00
33,50
34,00
34,50
35,00
35,50
36,00
36,50
37,00
37,50
38,00
38,50
39,00
39,50

40,00
40,50
41,00
41,50
42,00
42,50
43,00
43,50
44,00
44,50
45,00
45,50
46,00
46,50
47,00
47,50
48,00
48,50
49,00
49,50
50,00
50,50

DFe max
2,62
3,08
3,56
4,04
4,52
5,01

5,50
5,99
6,48
6,98
7,47
7,97
8,46
8,96
9,46
9,95
10,45
10,95
11,45
11,95
12,44
12,94
13,44
13,94
14,44
14,94
15,44
15,93
16,43
16,93
17,43
17,93
18,43
18,93
19,43
19,93

20,43
20,93
21,43
21,92
22,42
22,92
23,42
23,92
24,42
24,92
25,42
25,92
26,42
26,92
27,42
27,92
28,42
28,92
29,42
29,92
30,42
30,92
31,42
31,92
32,42
32,92
33,42
33,92
34,42
34,92

35,42
35,92
36,41
36,91
37,41
37,91
38,41
38,91
39,41
39,91
40,41
40,91
41,41
41,91
42,41
42,91
43,41
43,91
44,41
44,91
45,41
45,91
46,41
46,91
47,41
47,91
48,41
48,91
49,41

Die min
Fillet root
1,94
2,44
2,93
3,43
3,93
4,43
4,93
5,43
5,92
6,42
6,92
7,42
7,92
8,42
8,92
9,42
9,91
10,41
10,91
11,41
11,91
12,41
12,91
13,41
13,91
14,41
14,91
15,40

15,90
16,40
16,90
17,40
17,90
18,40
18,90
19,40
19,90
20,40
20,90
21,40
21,89
22,39
22,89
23,39
23,89
24,39
24,89
25,39
25,89
26,39
26,89
27,39
27,89
28,39
28,89
29,39
29,88
30,38

30,88
31,38
31,88
32,38
32,88
33,38
33,88
34,38
34,88
35,38
35,88
36,38
36,88
37,38
37,88
38,38
38,88
39,37
39,87
40,37
40,87
41,37
41,87
42,37
42,87
43,37
43,87
44,37
44,87
45,37

45,87
46,37
46,87
47,37
47,87
48,37
48,87

Die min
Flat
2,09
2,59
3,08
3,58
4,08
4,58
5,08
5,58
6,07
6,57
7,07
7,57
8,07
8,57
9,07
9,57
10,06
10,56
11,06
11,56

12,06
12,56
13,06
13,56
14,06
14,56
15,06
15,55
16,05
16,55
17,05
17,55
18,05
18,55
19,05
19,55
20,05
20,55
21,05
21,55
22,04
22,54
23,04
23,54
24,04
24,54
25,04
25,54
26,04
26,54

27,04
27,54
28,04
28,54
29,04
29,54
30,03
30,53
31,03
31,53
32,03
32,53
33,03
33,53
34,03
34,53
35,03
35,53
36,03
36,53
37,03
37,53
38,03
38,53
39,03
39,52
40,02
40,52
41,02
41,52

42,02
42,52
43,02
43,52
44,02
44,52
45,02
45,52
46,02
46,52
47,02
47,52
48,02
48,52
49,02

4

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Smin
4h

5h

6h

7h

0,762
0,761
0,761
0,761
0,761
0,760
0,760
0,760
0,760
0,759
0,759
0,759
0,759
0,759
0,759
0,758
0,758
0,758
0,758
0,758
0,758
0,758
0,757
0,757
0,757
0,757
0,757
0,757
0,757

0,757
0,756
0,756
0,756
0,756
0,756
0,756
0,756
0,756
0,756
0,755
0,755
0,755
0,755
0,755
0,755
0,755
0,755
0,755
0,755
0,755
0,754
0,754
0,754
0,754
0,754
0,754
0,754
0,754
0,754

0,754
0,754
0,754
0,753
0,753
0,753
0,753
0,753
0,753
0,753
0,753
0,753
0,753
0,753
0,753
0,753
0,753
0,752
0,752
0,752
0,752
0,752
0,752
0,752
0,752
0,752
0,752
0,752
0,752
0,752

0,752
0,752
0,751
0,751
0,751
0,751

0,748
0,747
0,747
0,746
0,746
0,746
0,745
0,745
0,744
0,744
0,744
0,744
0,743
0,743
0,743
0,742
0,742
0,742
0,742
0,741
0,741
0,741
0,741

0,741
0,740
0,740
0,740
0,740
0,740
0,739
0,739
0,739
0,739
0,739
0,739
0,738
0,738
0,738
0,738
0,738
0,738
0,737
0,737
0,737
0,737
0,737
0,737
0,736
0,736
0,736
0,736
0,736
0,736

0,736
0,736
0,735
0,735
0,735
0,735
0,735
0,735
0,735
0,735
0,734
0,734
0,734
0,734
0,734
0,734
0,734
0,734
0,733
0,733
0,733
0,733
0,733
0,733
0,733
0,733
0,733
0,732
0,732
0,732

0,732
0,732
0,732
0,732
0,732
0,732
0,732
0,731
0,731
0,731
0,731
0,731

0,727
0,726
0,725
0,725
0,724
0,723
0,723
0,722
0,722
0,721
0,721
0,720
0,720
0,719
0,719
0,719
0,718

0,718
0,717
0,717
0,717
0,716
0,716
0,716
0,715
0,715
0,715
0,714
0,714
0,714
0,713
0,713
0,713
0,713
0,712
0,712
0,712
0,712
0,711
0,711
0,711
0,711
0,710
0,710
0,710
0,710
0,709

0,709
0,709
0,709
0,709
0,708
0,708
0,708
0,708
0,707
0,707
0,707
0,707
0,707
0,707
0,706
0,706
0,706
0,706
0,706
0,705
0,705
0,705
0,705
0,705
0,704
0,704
0,704
0,704
0,704
0,704

0,703
0,703
0,703
0,703
0,703
0,703
0,702
0,702
0,702
0,702
0,702
0,702
0,701
0,701
0,701
0,701
0,701
0,701

0,692
0,691
0,690
0,689
0,687
0,686
0,686
0,685
0,684
0,683
0,682

0,681
0,681
0,680
0,679
0,679
0,678
0,677
0,677
0,676
0,676
0,675
0,675
0,674
0,673
0,673
0,672
0,672
0,671
0,671
0,671
0,670
0,670
0,669
0,669
0,668
0,668
0,668
0,667
0,667
0,666

0,666
0,666
0,665
0,665
0,664
0,664
0,664
0,663
0,663
0,663
0,662
0,662
0,662
0,661
0,661
0,661
0,660
0,660
0,660
0,659
0,659
0,659
0,658
0,658
0,658
0,658
0,657
0,657
0,657
0,656

0,656
0,656
0,656
0,655
0,655
0,655
0,654
0,654
0,654
0,654
0,653
0,653
0,653
0,653
0,652
0,652
0,652
0,652
0,651
0,651
0,651
0,651
0,650
0,650

© ISO 2005 – All rights reserved
Not for Resale


ISO 4156-2:2005(E)

Table 3 — Inspection dimensions internal spline, α = 30°, m = 0,5, flat or fillet root, Ev min = 0,785
z

DRi

Measurement over balls or pins, MRi (checking of dimensions Emin and Emax) for tolerance
classes
4H
min.
(aux.)

--`,,```,,,,````-`-`,,`,,`,`,,`---

6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21

22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51

52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81

82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100

—
—
0,85
0,85
0,85
0,85
0,85
0,90
0,90
0,90

0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90

0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90

0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90
0,90

—
—
2,752
3,207

3,780
4,235
4,793
5,071
5,623
6,091
6,634
7,104
7,642
8,114
8,648
9,122
9,652
10,128
10,656
11,133
11,659
12,138
12,661
13,142
13,663
14,145
14,665
15,148
15,667
16,150
16,668
17,153
17,670
18,155

18,671
19,157
19,672
20,159
20,673
21,160
21,674
22,162
22,675
23,163
23,676
24,164
24,677
25,166
25,677
26,167
26,678
27,168
27,679
28,169
28,679
29,170
29,680
30,171
30,681
31,171
31,681
32,172
32,682
33,173

33,682
34,174
34,683
35,175
35,683
36,175
36,684
37,176
37,684
38,177
38,684
39,177
39,685
40,178
40,685
41,178
41,686
42,179
42,686
43,179
43,686
44,180
44,687
45,180
45,687
46,181
46,688
47,181
47,688
48,182

48,688

5H
max.
—
—
2,791
3,241
3,813
4,266
4,823
5,104
5,655
6,122
6,665
7,134
7,672
8,143
8,677
9,151
9,681
10,157
10,684
11,161
11,687
12,166
12,689
13,169
13,691
14,172

14,693
15,175
15,694
16,178
16,696
17,180
17,697
18,182
18,698
19,184
19,699
20,186
20,700
21,187
21,701
22,188
22,702
23,190
23,703
24,191
24,703
25,192
25,704
26,193
26,705
27,194
27,705
28,195
28,706
29,196

29,707
30,197
30,707
31,198
31,708
32,199
32,708
33,199
33,709
34,200
34,709
35,201
35,709
36,202
36,710
37,202
37,710
38,203
38,711
39,203
39,711
40,204
40,711
41,204
41,712
42,205
42,712
43,206
43,713
44,206

44,713
45,207
45,713
46,207
46,714
47,207
47,714
48,208
48,714

min.
(aux.)
—
—
2,767
3,220
3,793
4,247
4,805
5,084
5,636
6,103
6,646
7,116
7,654
8,126
8,659
9,134
9,664
10,140

10,667
11,145
11,670
12,149
12,673
13,153
13,675
14,157
14,677
15,160
15,679
16,162
16,680
17,165
17,682
18,167
18,683
19,169
19,684
20,171
20,685
21,172
21,686
22,174
22,687
23,176
23,688
24,177
24,689
25,178

25,690
26,179
26,691
27,181
27,692
28,182
28,692
29,183
29,693
30,184
30,694
31,185
31,694
32,186
32,695
33,186
33,696
34,187
34,696
35,188
35,697
36,189
36,697
37,190
37,698
38,190
38,698
39,191
39,699
40,192

40,699
41,192
41,700
42,193
42,700
43,194
43,701
44,194
44,701
45,195
45,702
46,196
46,702
47,196
47,703
48,197
48,703

6H
max.
—
—
2,830
3,276
3,846
4,298
4,855
5,139
5,689
6,155

6,698
7,166
7,704
8,175
8,709
9,182
9,712
10,188
10,716
11,193
11,718
12,197
12,721
13,201
13,723
14,204
14,724
15,207
15,726
16,210
16,728
17,212
17,729
18,214
18,730
19,216
19,731
20,218
20,732
21,220

21,734
22,221
22,734
23,223
23,735
24,224
24,736
25,225
25,737
26,226
26,738
27,228
27,739
28,229
28,739
29,230
29,740
30,231
30,741
31,232
31,741
32,233
32,742
33,233
33,743
34,234
34,743
35,235
35,744
36,236

36,744
37,237
37,745
38,237
38,745
39,238
39,746
40,239
40,746
41,239
41,747
42,240
42,747
43,241
43,748
44,241
44,748
45,242
45,749
46,243
46,749
47,243
47,750
48,244
48,750

—
—
2,788
3,239

3,810
4,264
4,821
5,102
5,653
6,120
6,663
7,133
7,670
8,142
8,676
9,150
9,680
10,156
10,684
11,161
11,687
12,166
12,689
13,170
13,692
14,173
14,694
15,176
15,695
16,179
16,697
17,182
17,699
18,184

18,700
19,186
19,701
20,188
20,703
21,190
21,704
22,192
22,705
23,193
23,706
24,195
24,707
25,196
25,708
26,197
26,709
27,199
27,710
28,200
28,711
29,201
29,712
30,202
30,712
31,203
31,713
32,204
32,714
33,205

33,715
34,206
34,715
35,207
35,716
36,208
36,717
37,209
37,717
38,210
38,718
39,211
39,719
40,212
40,719
41,212
41,720
42,213
42,720
43,214
43,721
44,215
44,722
45,215
45,722
46,216
46,723
47,217
47,723
48,217

48,724

max.
—
—
2,882
3,324
3,894
4,344
4,901
5,189
5,739
6,203
6,746
7,214
7,751
8,222
8,756
9,229
9,759
10,235
10,762
11,240
11,765
12,244
12,768
13,248
13,770
14,251
14,772

15,254
15,773
16,257
16,775
17,260
17,777
18,262
18,778
19,264
19,779
20,266
20,781
21,268
21,782
22,270
22,783
23,271
23,784
24,273
24,785
25,274
25,786
26,276
26,787
27,277
27,788
28,279
28,789
29,280
29,790

30,281
30,791
31,282
31,792
32,283
32,793
33,284
33,794
34,285
34,794
35,286
35,795
36,287
36,796
37,288
37,797
38,289
38,797
39,290
39,798
40,291
40,799
41,292
41,799
42,293
42,800
43,293
43,801
44,294
44,801

45,295
45,802
46,296
46,802
47,296
47,803
48,297
48,804

min.
(aux.)
—
—
2,821
3,268
3,838
4,291
4,848
5,131
5,682
6,148
6,691
7,160
7,697
8,169
8,702
9,176
9,707
10,183
10,710

11,188
11,713
12,192
12,716
13,196
13,718
14,200
14,720
15,203
15,722
16,206
16,724
17,209
17,726
18,211
18,727
19,213
19,729
20,215
20,730
21,217
21,732
22,219
22,733
23,221
23,734
24,223
24,735
25,224
25,736

26,226
26,738
27,227
27,739
28,229
28,740
29,230
29,741
30,231
30,742
31,233
31,743
32,234
32,744
33,235
33,744
34,236
34,745
35,237
35,746
36,238
36,747
37,240
37,748
38,241
38,749
39,242
39,750
40,243
40,750

41,244
41,751
42,244
42,752
43,245
43,753
44,246
44,753
45,247
45,754
46,248
46,755
47,249
47,756
48,250
48,756

max.
—
—
2,960
3,399
3,969
4,418
4,975
5,268
5,817
6,281
6,823
7,291

7,828
8,299
8,832
9,305
9,836
10,311
10,839
11,316
11,842
12,321
12,844
13,325
13,847
14,329
14,849
15,332
15,851
16,335
16,853
17,338
17,855
18,341
18,857
19,343
19,859
20,346
20,861
21,348
21,862
22,350

22,864
23,352
23,865
24,354
24,867
25,356
25,868
26,358
26,869
27,359
27,871
28,361
28,872
29,363
29,873
30,364
30,874
31,366
31,876
32,367
32,877
33,368
33,878
34,370
34,879
35,371
35,880
36,372
36,881
37,374

37,882
38,375
38,883
39,376
39,884
40,377
40,885
41,379
41,886
42,380
42,887
43,381
43,888
44,382
44,889
45,383
45,890
46,384
46,891
47,385
47,892
48,386
48,893

—
—
2,079
1,987
1,974
1,922

1,917
2,031
2,011
1,972
1,960
1,932
1,924
1,904
1,898
1,882
1,878
1,865
1,862
1,852
1,849
1,841
1,839
1,831
1,830
1,823
1,822
1,817
1,815
1,811
1,810
1,805
1,805
1,801
1,800
1,797

1,796
1,793
1,793
1,790
1,789
1,787
1,786
1,784
1,784
1,782
1,781
1,779
1,779
1,777
1,777
1,775
1,775
1,774
1,773
1,772
1,772
1,770
1,770
1,769
1,769
1,768
1,768
1,766
1,766
1,765

1,765
1,764
1,764
1,763
1,763
1,762
1,762
1,761
1,761
1,760
1,760
1,760
1,759
1,759
1,759
1,758
1,758
1,757
1,757
1,757
1,757
1,756
1,756
1,755
1,755
1,755
1,755
1,754
1,754

5

© ISO 2005 – All rights reserved

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

min.
(aux.)

Ki

7H

Not for Resale


ISO 4156-2:2005(E)

Table 4 — Inspection dimensions external spline, α = 30°, m = 0,5, flat or fillet root, Sv max = 0,785
DRe

Measurement over balls or pins, MRe (checking of dimensions Smin and Smax) for tolerance classes
4h
min.

6
7
8

9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38

39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68

69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98

99
100

1,12
1,12
1,06
1,06
1,06
1,00
1,00
1,00
1,00
1,00
1,00
1,00
1,00
1,00
1,00
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95

0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95

0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95

0,95
0,95
0,95
0,95
0,95
0,95
0,95
0,95

4,797
5,204
5,670
6,099
6,683
6,970
7,535
7,987
8,541
8,999
9,546
10,009
10,549
11,017
11,552
11,884
12,416
12,889
13,417
13,892
14,419

14,896
15,420
15,898
16,420
16,900
17,421
17,902
18,422
18,904
19,422
19,906
20,423
20,907
21,423
21,908
22,424
22,909
23,424
23,910
24,424
24,911
25,424
25,912
26,425
26,912
27,425
27,913
28,425
28,914
29,425

29,914
30,425
30,914
31,425
31,915
32,425
32,915
33,425
33,916
34,425
34,916
35,425
35,916
36,425
36,916
37,425
37,917
38,425
38,917
39,425
39,917
40,425
40,917
41,425
41,917
42,425
42,918
43,425
43,918
44,425

44,918
45,425
45,918
46,425
46,918
47,425
47,918
48,425
48,918
49,425
49,918
50,425
50,918
51,425

5h
max.
(aux.)
4,813
5,220
5,687
6,117
6,701
6,989
7,555
8,007
8,561
9,020
9,566
10,030

10,571
11,038
11,574
11,906
12,438
12,911
13,440
13,915
14,441
14,918
15,442
15,921
16,443
16,923
17,444
17,926
18,445
18,927
19,446
19,929
20,446
20,930
21,447
21,932
22,447
22,933
23,448
23,934
24,448
24,935

25,448
25,936
26,449
26,936
27,449
27,937
28,449
28,938
29,449
29,938
30,449
30,939
31,449
31,939
32,450
32,940
33,450
33,940
34,450
34,940
35,450
35,941
36,450
36,941
37,450
37,941
38,450
38,941
39,450
39,942

40,450
40,942
41,450
41,942
42,450
42,942
43,450
43,942
44,450
44,942
45,450
45,943
46,450
46,943
47,450
47,943
48,449
48,943
49,449
49,943
50,449
50,943
51,449

min.
4,780
5,187
5,651
6,080
6,663

6,950
7,514
7,965
8,519
8,977
9,523
9,986
10,526
10,993
11,528
11,860
12,391
12,864
13,392
13,867
14,393
14,869
15,393
15,872
16,394
16,873
17,394
17,875
18,394
18,876
19,395
19,878
20,395
20,879
21,395

21,880
22,395
22,880
23,395
23,881
24,395
24,882
25,395
25,882
26,395
26,883
27,395
27,883
28,395
28,883
29,395
29,884
30,395
30,884
31,394
31,884
32,394
32,884
33,394
33,884
34,394
34,884
35,394
35,885
36,394

36,885
37,393
37,885
38,393
38,885
39,393
39,885
40,393
40,885
41,393
41,885
42,392
42,885
43,392
43,885
44,392
44,885
45,392
45,885
46,392
46,885
47,391
47,885
48,391
48,884
49,391
49,884
50,391
50,884
51,390

6h
max.
(aux.)
4,807
5,214
5,681
6,110
6,694
6,982
7,547
7,999
8,554
9,012
9,558
10,022
10,562
11,029
11,565
11,898
12,429
12,902
13,431
13,906
14,432
14,909
15,433
15,911
16,434
16,914

17,434
17,916
18,435
18,917
19,436
19,919
20,436
20,920
21,436
21,921
22,437
22,922
23,437
23,923
24,437
24,924
25,437
25,925
26,437
26,925
27,437
27,926
28,438
28,926
29,438
29,927
30,438
30,927
31,438
31,927

32,438
32,928
33,438
33,928
34,437
34,928
35,437
35,928
36,437
36,928
37,437
37,929
38,437
38,929
39,437
39,929
40,437
40,929
41,437
41,929
42,437
42,929
43,436
43,929
44,436
44,929
45,436
45,929
46,436
46,929

47,436
47,929
48,436
48,929
49,436
49,929
50,435
50,929
51,435

min.
4,754
5,161
5,622
6,051
6,633
6,918
7,482
7,933
8,485
8,943
9,488
9,951
10,490
10,957
11,492
11,822
12,353
12,826
13,353

13,828
14,354
14,830
15,354
15,832
16,353
16,833
17,353
17,834
18,353
18,835
19,353
19,836
20,353
20,836
21,352
21,837
22,352
22,837
23,351
23,837
24,351
24,838
25,351
25,838
26,350
26,838
27,350
27,838
28,349

28,838
29,349
29,838
30,348
30,838
31,348
31,838
32,348
32,837
33,347
33,837
34,347
34,837
35,346
35,837
36,346
36,837
37,345
37,837
38,345
38,836
39,344
39,836
40,344
40,836
41,344
41,836
42,343
42,835
43,343

43,835
44,342
44,835
45,342
45,835
46,341
46,834
47,341
47,834
48,340
48,834
49,340
49,833
50,340
50,833
51,339

6

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Ke

7h
max.
(aux.)
4,798
5,206

5,671
6,101
6,684
6,972
7,537
7,988
8,542
9,001
9,547
10,010
10,550
11,017
11,553
11,885
12,416
12,889
13,418
13,892
14,419
14,895
15,419
15,898
16,420
16,900
17,420
17,901
18,421
18,903
19,421
19,904

20,421
20,905
21,421
21,906
22,422
22,907
23,422
23,908
24,422
24,908
25,422
25,909
26,421
26,909
27,421
27,909
28,421
28,910
29,421
29,910
30,421
30,910
31,421
31,910
32,421
32,911
33,420
33,911
34,420
34,911

35,420
35,911
36,420
36,911
37,419
37,911
38,419
38,911
39,419
39,911
40,419
40,911
41,418
41,911
42,418
42,910
43,418
43,910
44,418
44,910
45,417
45,910
46,417
46,910
47,417
47,910
48,416
48,910
49,416
49,910

50,416
50,909
51,415

min.

max.
(aux.)

4,711
5,117
5,575
6,003
6,582
6,866
7,427
7,878
8,429
8,886
9,430
9,892
10,431
10,897
11,431
11,760
12,289
12,761
13,289
13,763
14,288

14,764
15,287
15,764
16,286
16,765
17,285
17,765
18,284
18,765
19,283
19,765
20,281
20,765
21,280
21,765
22,279
22,764
23,278
23,764
24,277
24,764
25,276
25,763
26,275
26,763
27,274
27,762
28,273
28,761
29,272

29,761
30,271
30,760
31,270
31,760
32,269
32,759
33,269
33,758
34,268
34,758
35,267
35,757
36,266
36,757
37,265
37,756
38,264
38,755
39,263
39,755
40,262
40,754
41,261
41,753
42,261
42,753
43,260
43,752
44,259

44,751
45,258
45,751
46,257
46,750
47,256
47,749
48,256
48,749
49,255
49,748
50,254
50,747
51,253

4,784
5,191
5,655
6,085
6,668
6,955
7,519
7,970
8,524
8,982
9,528
9,991
10,531
10,998
11,533

11,864
12,396
12,868
13,396
13,871
14,397
14,874
15,397
15,876
16,398
16,877
17,398
17,879
18,398
18,880
19,398
19,881
20,398
20,881
21,397
21,882
22,397
22,882
23,397
23,883
24,397
24,883
25,396
25,883
26,396

26,884
27,396
27,884
28,395
28,884
29,395
29,884
30,395
30,884
31,394
31,884
32,394
32,884
33,393
33,883
34,393
34,883
35,392
35,883
36,392
36,883
37,391
37,883
38,391
38,882
39,390
39,882
40,390
40,882
41,389

41,882
42,389
42,881
43,389
43,881
44,388
44,881
45,388
45,880
46,387
46,880
47,387
47,880
48,386
48,879
49,386
49,879
50,385
50,879
51,385

1,255
1,254
1,350
1,354
1,395
1,441
1,471
1,475
1,498

1,501
1,520
1,523
1,538
1,541
1,554
1,587
1,597
1,598
1,607
1,608
1,615
1,616
1,623
1,624
1,629
1,630
1,635
1,636
1,641
1,642
1,646
1,646
1,650
1,651
1,654
1,655
1,658
1,658
1,661

1,661
1,664
1,664
1,667
1,667
1,669
1,670
1,672
1,672
1,674
1,674
1,676
1,676
1,678
1,678
1,680
1,680
1,682
1,682
1,683
1,684
1,685
1,685
1,686
1,686
1,688
1,688
1,689
1,689
1,690

1,690
1,691
1,691
1,692
1,693
1,693
1,694
1,694
1,695
1,695
1,696
1,696
1,696
1,697
1,697
1,698
1,698
1,699
1,699
1,700
1,700
1,700
1,700
1,701
1,701
1,702

© ISO 2005 – All rights reserved
Not for Resale

--`,,```,,,,````-`-`,,`,,`,`,,`---

z


ISO 4156-2:2005(E)

5.2

30° pressure angle, module 0,75
Table 5 — Geometry internal spline, α = 30°, m = 0,75, flat and fillet root, Ev min = 1,178
z
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23

24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53

54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83

84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100

D
4,50
5,25
6,00
6,75
7,50
8,25
9,00
9,75
10,50
11,25
12,00

12,75
13,50
14,25
15,00
15,75
16,50
17,25
18,00
18,75
19,50
20,25
21,00
21,75
22,50
23,25
24,00
24,75
25,50
26,25
27,00
27,75
28,50
29,25
30,00
30,75
31,50
32,25
33,00
33,75
34,50

35,25
36,00
36,75
37,50
38,25
39,00
39,75
40,50
41,25
42,00
42,75
43,50
44,25
45,00
45,75
46,50
47,25
48,00
48,75
49,50
50,25
51,00
51,75
52,50
53,25
54,00
54,75
55,50
56,25
57,00

57,75
58,50
59,25
60,00
60,75
61,50
62,25
63,00
63,75
64,50
65,25
66,00
66,75
67,50
68,25
69,00
69,75
70,50
71,25
72,00
72,75
73,50
74,25
75,00

Db
3,8971
4,5466
5,1962
5,8457

6,4952
7,1447
7,7942
8,4437
9,0933
9,7428
10,3923
11,0418
11,6913
12,3409
12,9904
13,6399
14,2894
14,9389
15,5885
16,2380
16,8875
17,5370
18,1865
18,8361
19,4856
20,1351
20,7846
21,4341
22,0836
22,7332
23,3827
24,0322
24,6817
25,3312

25,9808
26,6303
27,2798
27,9293
28,5788
29,2284
29,8779
30,5274
31,1769
31,8264
32,4760
33,1255
33,7750
34,4245
35,0740
35,7235
36,3731
37,0226
37,6721
38,3216
38,9711
39,6207
40,2702
40,9197
41,5692
42,2187
42,8683
43,5178
44,1673
44,8168

45,4663
46,1159
46,7654
47,4149
48,0644
48,7139
49,3634
50,0130
50,6625
51,3120
51,9615
52,6110
53,2606
53,9101
54,5596
55,2091
55,8586
56,5082
57,1577
57,8072
58,4567
59,1062
59,7558
60,4053
61,0548
61,7043
62,3538
63,0033
63,6529
64,3024

64,9519

Dei max
Fillet root

Dei max

DFi min

Dii min

6,03
6,79
7,54
8,29
9,04
9,80
10,55
11,30
12,05
12,80
13,55
14,31
15,06
15,81
16,56
17,31
18,06
18,81
19,56

20,32
21,07
21,82
22,57
23,32
24,07
24,82
25,57
26,32
27,08
27,83
28,58
29,33
30,08
30,83
31,58
32,33
33,08
33,83
34,58
35,34
36,09
36,84
37,59
38,34
39,09
39,84
40,59
41,34
42,09

42,84
43,59
44,34
45,09
45,85
46,60
47,35
48,10
48,85
49,60
50,35
51,10
51,85
52,60
53,35
54,10
54,85
55,60
56,35
57,10
57,86
58,61
59,36
60,11
60,86
61,61
62,36
63,11
63,86
64,61

65,36
66,11
66,86
67,61
68,36
69,11
69,86
70,61
71,37
72,12
72,87
73,62
74,37
75,12
75,87
76,62

5,81
6,56
7,31
8,07
8,82
9,57
10,32
11,07
11,83
12,58
13,33
14,08
14,83

15,58
16,33
17,09
17,84
18,59
19,34
20,09
20,84
21,59
22,34
23,10
23,85
24,60
25,35
26,10
26,85
27,60
28,35
29,10
29,85
30,61
31,36
32,11
32,86
33,61
34,36
35,11
35,86
36,61
37,36

38,11
38,86
39,61
40,37
41,12
41,87
42,62
43,37
44,12
44,87
45,62
46,37
47,12
47,87
48,62
49,37
50,12
50,87
51,63
52,38
53,13
53,88
54,63
55,38
56,13
56,88
57,63
58,38
59,13
59,88

60,63
61,38
62,13
62,88
63,63
64,39
65,14
65,89
66,64
67,39
68,14
68,89
69,64
70,39
71,14
71,89
72,64
73,39
74,14
74,89
75,64
76,39

5,40
6,15
6,90
7,65
8,40
9,15
9,90

10,65
11,40
12,15
12,90
13,65
14,40
15,15
15,90
16,65
17,40
18,15
18,90
19,65
20,40
21,15
21,90
22,65
23,40
24,15
24,90
25,65
26,40
27,15
27,90
28,65
29,40
30,15
30,90
31,65
32,40

33,15
33,90
34,65
35,40
36,15
36,90
37,65
38,40
39,15
39,90
40,65
41,40
42,15
42,90
43,65
44,40
45,15
45,90
46,65
47,40
48,15
48,90
49,65
50,40
51,15
51,90
52,65
53,40
54,15
54,90

55,65
56,40
57,15
57,90
58,65
59,40
60,15
60,90
61,65
62,40
63,15
63,90
64,65
65,40
66,15
66,90
67,65
68,40
69,15
69,90
70,65
71,40
72,15
72,90
73,65
74,40
75,15
75,90

4,07

4,77
5,48
6,20
6,93
7,66
8,40
9,14
9,88
10,62
11,36
12,10
12,85
13,59
14,34
15,08
15,83
16,57
17,32
18,07
18,82
19,56
20,31
21,06
21,81
22,55
23,30
24,05
24,80
25,55
26,30

27,05
27,79
28,54
29,29
30,04
30,79
31,54
32,29
33,04
33,79
34,54
35,28
36,03
36,78
37,53
38,28
39,03
39,78
40,53
41,28
42,03
42,78
43,53
44,28
45,03
45,78
46,53
47,28
48,03
48,77

49,52
50,27
51,02
51,77
52,52
53,27
54,02
54,77
55,52
56,27
57,02
57,77
58,52
59,27
60,02
60,77
61,52
62,27
63,02
63,77
64,52
65,27
66,02
66,77
67,52
68,27
69,02
69,77
70,52
71,27

72,02
72,77
73,52
74,27

Flat

Emax
4H

5H

6H

7H

1,205
1,205
1,205
1,206
1,206
1,206
1,207
1,207
1,207
1,207
1,207
1,208
1,208
1,208

1,208
1,208
1,209
1,209
1,209
1,209
1,209
1,210
1,210
1,210
1,210
1,210
1,210
1,210
1,211
1,211
1,211
1,211
1,211
1,211
1,211
1,211
1,212
1,212
1,212
1,212
1,212
1,212
1,212
1,212

1,212
1,213
1,213
1,213
1,213
1,213
1,213
1,213
1,213
1,213
1,214
1,214
1,214
1,214
1,214
1,214
1,214
1,214
1,214
1,214
1,214
1,215
1,215
1,215
1,215
1,215
1,215
1,215
1,215
1,215

1,215
1,215
1,215
1,216
1,216
1,216
1,216
1,216
1,216
1,216
1,216
1,216
1,216
1,216
1,216
1,216
1,216
1,217
1,217
1,217
1,217

1,220
1,221
1,222
1,222
1,223
1,223
1,224
1,224

1,224
1,225
1,225
1,226
1,226
1,226
1,226
1,227
1,227
1,227
1,228
1,228
1,228
1,228
1,229
1,229
1,229
1,229
1,230
1,230
1,230
1,230
1,231
1,231
1,231
1,231
1,231
1,232
1,232
1,232

1,232
1,232
1,232
1,233
1,233
1,233
1,233
1,233
1,234
1,234
1,234
1,234
1,234
1,234
1,235
1,235
1,235
1,235
1,235
1,235
1,235
1,236
1,236
1,236
1,236
1,236
1,236
1,236
1,237
1,237

1,237
1,237
1,237
1,237
1,237
1,238
1,238
1,238
1,238
1,238
1,238
1,238
1,238
1,239
1,239
1,239
1,239
1,239
1,239
1,239
1,239
1,239
1,240
1,240
1,240
1,240
1,240

1,244
1,245

1,246
1,247
1,248
1,249
1,249
1,250
1,251
1,251
1,252
1,252
1,253
1,253
1,254
1,254
1,255
1,255
1,256
1,256
1,256
1,257
1,257
1,258
1,258
1,258
1,259
1,259
1,259
1,260
1,260
1,260

1,261
1,261
1,261
1,262
1,262
1,262
1,263
1,263
1,263
1,263
1,264
1,264
1,264
1,265
1,265
1,265
1,265
1,266
1,266
1,266
1,266
1,267
1,267
1,267
1,267
1,267
1,268
1,268
1,268
1,268

1,269
1,269
1,269
1,269
1,270
1,270
1,270
1,270
1,270
1,271
1,271
1,271
1,271
1,271
1,272
1,272
1,272
1,272
1,272
1,273
1,273
1,273
1,273
1,273
1,274
1,274
1,274
1,274
1,274
1,274

1,275
1,275
1,275

1,284
1,286
1,287
1,289
1,290
1,291
1,292
1,293
1,294
1,295
1,296
1,297
1,298
1,298
1,299
1,300
1,301
1,301
1,302
1,303
1,303
1,304
1,305
1,305
1,306
1,307

1,307
1,308
1,308
1,309
1,309
1,310
1,310
1,311
1,311
1,312
1,312
1,313
1,313
1,314
1,314
1,315
1,315
1,316
1,316
1,316
1,317
1,317
1,318
1,318
1,318
1,319
1,319
1,320
1,320
1,320

1,321
1,321
1,322
1,322
1,322
1,323
1,323
1,323
1,324
1,324
1,324
1,325
1,325
1,325
1,326
1,326
1,326
1,327
1,327
1,327
1,328
1,328
1,328
1,329
1,329
1,329
1,330
1,330
1,330
1,331

1,331
1,331
1,331
1,332
1,332
1,332
1,333
1,333
1,333

--`,,```,,,,````-`-`,,`,,`,`,,`---

7

© ISOfor2005
– All rights reserved
Copyright International Organization
Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Not for Resale


ISO 4156-2:2005(E)

Table 6 — Geometry external spline, α = 30°, m = 0,75, flat and fillet root, Sv max = 1,178
z
6
7

8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37

38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67

68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97

98
99
100

D
4,50
5,25
6,00
6,75
7,50
8,25
9,00
9,75
10,50
11,25
12,00
12,75
13,50
14,25
15,00
15,75
16,50
17,25
18,00
18,75
19,50
20,25
21,00
21,75
22,50

23,25
24,00
24,75
25,50
26,25
27,00
27,75
28,50
29,25
30,00
30,75
31,50
32,25
33,00
33,75
34,50
35,25
36,00
36,75
37,50
38,25
39,00
39,75
40,50
41,25
42,00
42,75
43,50
44,25
45,00

45,75
46,50
47,25
48,00
48,75
49,50
50,25
51,00
51,75
52,50
53,25
54,00
54,75
55,50
56,25
57,00
57,75
58,50
59,25
60,00
60,75
61,50
62,25
63,00
63,75
64,50
65,25
66,00
66,75
67,50

68,25
69,00
69,75
70,50
71,25
72,00
72,75
73,50
74,25
75,00

Db
3,8971
4,5466
5,1962
5,8457
6,4952
7,1447
7,7942
8,4437
9,0933
9,7428
10,3923
11,0418
11,6913
12,3409
12,9904
13,6399
14,2894
14,9389

15,5885
16,2380
16,8875
17,5370
18,1865
18,8361
19,4856
20,1351
20,7846
21,4341
22,0836
22,7332
23,3827
24,0322
24,6817
25,3312
25,9808
26,6303
27,2798
27,9293
28,5788
29,2284
29,8779
30,5274
31,1769
31,8264
32,4760
33,1255
33,7750
34,4245

35,0740
35,7235
36,3731
37,0226
37,6721
38,3216
38,9711
39,6207
40,2702
40,9197
41,5692
42,2187
42,8683
43,5178
44,1673
44,8168
45,4663
46,1159
46,7654
47,4149
48,0644
48,7139
49,3634
50,0130
50,6625
51,3120
51,9615
52,6110
53,2606
53,9101

54,5596
55,2091
55,8586
56,5082
57,1577
57,8072
58,4567
59,1062
59,7558
60,4053
61,0548
61,7043
62,3538
63,0033
63,6529
64,3024
64,9519

Dee max
5,25
6,00
6,75
7,50
8,25
9,00
9,75
10,50
11,25
12,00
12,75

13,50
14,25
15,00
15,75
16,50
17,25
18,00
18,75
19,50
20,25
21,00
21,75
22,50
23,25
24,00
24,75
25,50
26,25
27,00
27,75
28,50
29,25
30,00
30,75
31,50
32,25
33,00
33,75
34,50
35,25

36,00
36,75
37,50
38,25
39,00
39,75
40,50
41,25
42,00
42,75
43,50
44,25
45,00
45,75
46,50
47,25
48,00
48,75
49,50
50,25
51,00
51,75
52,50
53,25
54,00
54,75
55,50
56,25
57,00
57,75

58,50
59,25
60,00
60,75
61,50
62,25
63,00
63,75
64,50
65,25
66,00
66,75
67,50
68,25
69,00
69,75
70,50
71,25
72,00
72,75
73,50
74,25
75,00
75,75

DFe max
3,92
4,62
5,33
6,05

6,78
7,51
8,25
8,99
9,73
10,47
11,21
11,95
12,70
13,44
14,19
14,93
15,68
16,42
17,17
17,92
18,67
19,41
20,16
20,91
21,66
22,40
23,15
23,90
24,65
25,40
26,15
26,90
27,64
28,39

29,14
29,89
30,64
31,39
32,14
32,89
33,64
34,39
35,13
35,88
36,63
37,38
38,13
38,88
39,63
40,38
41,13
41,88
42,63
43,38
44,13
44,88
45,63
46,38
47,13
47,88
48,62
49,37
50,12
50,87

51,62
52,37
53,12
53,87
54,62
55,37
56,12
56,87
57,62
58,37
59,12
59,87
60,62
61,37
62,12
62,87
63,62
64,37
65,12
65,87
66,62
67,37
68,12
68,87
69,62
70,37
71,12
71,87
72,62
73,37

74,12

Die min
Fillet root

Die min

2,97
3,71
4,46
5,21
5,96
6,70
7,45
8,20
8,95
9,70
10,45
11,19
11,94
12,69
13,44
14,19
14,94
15,69
16,44
17,18
17,93
18,68
19,43

20,18
20,93
21,68
22,43
23,18
23,92
24,67
25,42
26,17
26,92
27,67
28,42
29,17
29,92
30,67
31,42
32,16
32,91
33,66
34,41
35,16
35,91
36,66
37,41
38,16
38,91
39,66
40,41
41,16
41,91

42,65
43,40
44,15
44,90
45,65
46,40
47,15
47,90
48,65
49,40
50,15
50,90
51,65
52,40
53,15
53,90
54,64
55,39
56,14
56,89
57,64
58,39
59,14
59,89
60,64
61,39
62,14
62,89
63,64
64,39

65,14
65,89
66,64
67,39
68,13
68,88
69,63
70,38
71,13
71,88
72,63
73,38

3,19
3,94
4,69
5,43
6,18
6,93
7,68
8,43
9,17
9,92
10,67
11,42
12,17
12,92
13,67
14,41
15,16

15,91
16,66
17,41
18,16
18,91
19,66
20,40
21,15
21,90
22,65
23,40
24,15
24,90
25,65
26,40
27,15
27,89
28,64
29,39
30,14
30,89
31,64
32,39
33,14
33,89
34,64
35,39
36,14
36,89
37,63

38,38
39,13
39,88
40,63
41,38
42,13
42,88
43,63
44,38
45,13
45,88
46,63
47,38
48,13
48,87
49,62
50,37
51,12
51,87
52,62
53,37
54,12
54,87
55,62
56,37
57,12
57,87
58,62
59,37
60,12

60,87
61,61
62,36
63,11
63,86
64,61
65,36
66,11
66,86
67,61
68,36
69,11
69,86
70,61
71,36
72,11
72,86
73,61

Flat

8

--`,,```,,,,````-`-`,,`,,`,`,,`---

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Smin

4h

5h

6h

7h

1,151
1,151
1,151
1,150
1,150
1,150
1,149
1,149
1,149
1,149
1,149
1,148
1,148
1,148
1,148
1,148
1,147
1,147
1,147
1,147
1,147
1,146

1,146
1,146
1,146
1,146
1,146
1,146
1,145
1,145
1,145
1,145
1,145
1,145
1,145
1,145
1,144
1,144
1,144
1,144
1,144
1,144
1,144
1,144
1,144
1,143
1,143
1,143
1,143
1,143
1,143
1,143

1,143
1,143
1,142
1,142
1,142
1,142
1,142
1,142
1,142
1,142
1,142
1,142
1,142
1,141
1,141
1,141
1,141
1,141
1,141
1,141
1,141
1,141
1,141
1,141
1,141
1,140
1,140
1,140
1,140
1,140

1,140
1,140
1,140
1,140
1,140
1,140
1,140
1,140
1,140
1,139
1,139
1,139
1,139

1,136
1,135
1,134
1,134
1,133
1,133
1,132
1,132
1,132
1,131
1,131
1,130
1,130
1,130
1,130
1,129

1,129
1,129
1,128
1,128
1,128
1,128
1,127
1,127
1,127
1,127
1,126
1,126
1,126
1,126
1,125
1,125
1,125
1,125
1,125
1,124
1,124
1,124
1,124
1,124
1,124
1,123
1,123
1,123
1,123
1,123

1,122
1,122
1,122
1,122
1,122
1,122
1,121
1,121
1,121
1,121
1,121
1,121
1,121
1,120
1,120
1,120
1,120
1,120
1,120
1,120
1,119
1,119
1,119
1,119
1,119
1,119
1,119
1,118
1,118
1,118

1,118
1,118
1,118
1,118
1,118
1,117
1,117
1,117
1,117
1,117
1,117
1,117
1,117
1,117
1,116
1,116
1,116
1,116
1,116

1,112
1,111
1,110
1,109
1,108
1,107
1,107
1,106
1,105
1,105

1,104
1,104
1,103
1,103
1,102
1,102
1,101
1,101
1,100
1,100
1,100
1,099
1,099
1,098
1,098
1,098
1,097
1,097
1,097
1,096
1,096
1,096
1,095
1,095
1,095
1,094
1,094
1,094
1,093
1,093

1,093
1,093
1,092
1,092
1,092
1,091
1,091
1,091
1,091
1,090
1,090
1,090
1,090
1,089
1,089
1,089
1,089
1,089
1,088
1,088
1,088
1,088
1,087
1,087
1,087
1,087
1,086
1,086
1,086
1,086

1,086
1,085
1,085
1,085
1,085
1,085
1,084
1,084
1,084
1,084
1,084
1,083
1,083
1,083
1,083
1,083
1,082
1,082
1,082
1,082
1,082
1,082
1,081
1,081
1,081

1,072
1,070
1,069
1,067

1,066
1,065
1,064
1,063
1,062
1,061
1,060
1,059
1,058
1,058
1,057
1,056
1,055
1,055
1,054
1,053
1,053
1,052
1,051
1,051
1,050
1,049
1,049
1,048
1,048
1,047
1,047
1,046
1,046
1,045

1,045
1,044
1,044
1,043
1,043
1,042
1,042
1,041
1,041
1,040
1,040
1,040
1,039
1,039
1,038
1,038
1,038
1,037
1,037
1,036
1,036
1,036
1,035
1,035
1,034
1,034
1,034
1,033
1,033
1,033

1,032
1,032
1,032
1,031
1,031
1,031
1,030
1,030
1,030
1,029
1,029
1,029
1,028
1,028
1,028
1,027
1,027
1,027
1,026
1,026
1,026
1,025
1,025
1,025
1,025
1,024
1,024
1,024
1,023
1,023

1,023

© ISO 2005 – All rights reserved
Not for Resale


ISO 4156-2:2005(E)

Table 7 — Inspection dimensions internal spline, α = 30°, m = 0,75, flat or fillet root, Ev min = 1,178
z

DRi

Measurement over balls or pins, MRi (checking of dimensions Emin and Emax) for tolerance classes
4H
min.
(aux.)

--`,,```,,,,````-`-`,,`,,`,`,,`---

6
7
8
9
10
11
12
13
14
15

16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45

46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75

76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100

—
—
1,25
1,25

1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,32
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40

1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40

1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40

1,40

—
—
4,224
4,897
5,475
6,171
7,013
7,708
8,534
9,232
10,046
10,750
11,555
12,263
13,062
13,773
14,568
15,281
16,072
16,788
17,576
18,294
19,079
19,540
20,323
21,046
21,827
22,552

23,330
24,056
24,833
25,560
26,336
27,064
27,838
28,567
29,340
30,070
30,842
31,573
32,344
33,076
33,846
34,578
35,347
36,080
36,849
37,582
38,350
39,084
39,851
40,586
41,352
42,087
42,853
43,589
44,354
45,090

45,855
46,592
47,356
48,093
48,857
49,594
50,358
51,096
51,859
52,597
53,360
54,098
54,860
55,599
56,361
57,100
57,862
58,601
59,363
60,102
60,863
61,603
62,364
63,104
63,865
64,605
65,365
66,105
66,866
67,606

68,366
69,107
69,867
70,608
71,367
72,108
72,868

5H
max.
—
—
4,267
4,936
5,521
6,212
7,053
7,746
8,570
9,268
10,082
10,784
11,590
12,296
13,096
13,806
14,601
15,314
16,105
16,821

17,608
18,326
19,111
19,574
20,356
21,079
21,860
22,584
23,363
24,089
24,866
25,593
26,368
27,096
27,870
28,599
29,372
30,102
30,874
31,605
32,376
33,107
33,877
34,609
35,379
36,111
36,880
37,613
38,381
39,115

39,882
40,617
41,383
42,118
42,884
43,620
44,385
45,121
45,886
46,623
47,387
48,124
48,888
49,625
50,389
51,126
51,890
52,627
53,390
54,128
54,891
55,629
56,392
57,130
57,892
58,631
59,393
60,132
60,893
61,633

62,394
63,134
63,895
64,635
65,395
66,135
66,896
67,636
68,396
69,137
69,897
70,637
71,397
72,138
72,898

min.
(aux.)
—
—
4,239
4,910
5,491
6,185
7,027
7,722
8,547
9,245
10,059
10,762

11,568
12,275
13,075
13,785
14,580
15,294
16,085
16,801
17,588
18,307
19,091
19,554
20,337
21,060
21,840
22,565
23,344
24,070
24,847
25,574
26,349
27,078
27,852
28,581
29,354
30,084
30,856
31,587
32,358
33,090

33,860
34,592
35,361
36,094
36,863
37,597
38,364
39,099
39,866
40,600
41,367
42,102
42,868
43,604
44,369
45,106
45,871
46,607
47,372
48,108
48,873
49,610
50,374
51,111
51,875
52,612
53,375
54,114
54,876
55,615

56,377
57,116
57,878
58,617
59,379
60,118
60,880
61,619
62,380
63,120
63,881
64,621
65,382
66,122
66,882
67,623
68,383
69,124
69,884
70,625
71,384
72,125
72,885

6H
max.
—
—
4,308
4,973

5,566
6,254
7,093
7,784
8,608
9,305
10,119
10,821
11,626
12,332
13,132
13,842
14,637
15,350
16,141
16,856
17,644
18,362
19,147
19,611
20,394
21,116
21,897
22,621
23,400
24,126
24,903
25,630
26,406
27,134

27,908
28,637
29,410
30,140
30,912
31,643
32,414
33,145
33,915
34,647
35,417
36,150
36,918
37,652
38,420
39,154
39,921
40,655
41,422
42,157
42,923
43,659
44,424
45,160
45,925
46,662
47,426
48,163
48,927
49,665

50,428
51,166
51,929
52,667
53,430
54,168
54,931
55,669
56,432
57,170
57,932
58,672
59,433
60,173
60,934
61,673
62,435
63,174
63,935
64,675
65,436
66,176
66,937
67,677
68,437
69,178
69,938
70,679
71,439
72,180

72,939

—
—
4,260
4,929
5,514
6,206
7,047
7,740
8,565
9,263
10,077
10,780
11,586
12,293
13,093
13,803
14,598
15,311
16,102
16,818
17,606
18,325
19,109
19,572
20,355
21,078
21,859
22,584

23,363
24,089
24,866
25,593
26,369
27,097
27,871
28,600
29,374
30,104
30,876
31,607
32,378
33,110
33,880
34,612
35,382
36,115
36,883
37,617
38,385
39,119
39,886
40,621
41,388
42,123
42,889
43,625
44,390
45,127

45,892
46,628
47,393
48,130
48,894
49,631
50,395
51,133
51,896
52,634
53,397
54,136
54,898
55,637
56,399
57,138
57,900
58,640
59,401
60,141
60,902
61,642
62,403
63,143
63,904
64,644
65,405
66,145
66,906
67,646

68,407
69,147
69,907
70,648
71,408
72,149
72,909

max.
—
—
4,366
5,028
5,630
6,313
7,151
7,841
8,664
9,360
10,173
10,874
11,680
12,386
13,186
13,895
14,690
15,403
16,194
16,910
17,697

18,416
19,200
19,666
20,449
21,172
21,953
22,677
23,456
24,181
24,959
25,686
26,461
27,189
27,964
28,693
29,466
30,196
30,968
31,699
32,470
33,202
33,972
34,704
35,474
36,207
36,975
37,709
38,477
39,211
39,978

40,713
41,480
42,215
42,981
43,717
44,482
45,219
45,984
46,720
47,485
48,222
48,986
49,723
50,487
51,225
51,988
52,726
53,489
54,228
54,991
55,729
56,492
57,230
57,993
58,732
59,493
60,233
60,994
61,734
62,495

63,235
63,996
64,736
65,497
66,237
66,998
67,738
68,499
69,240
70,000
70,741
71,500
72,242
73,001

min.
(aux.)
—
—
4,292
4,958
5,549
6,238
7,078
7,770
8,595
9,292
10,106
10,808
11,614

12,321
13,121
13,831
14,626
15,340
16,131
16,847
17,635
18,353
19,138
19,602
20,385
21,108
21,889
22,614
23,393
24,119
24,896
25,623
26,399
27,127
27,902
28,631
29,404
30,135
30,907
31,638
32,409
33,141
33,911

34,644
35,413
36,146
36,915
37,649
38,417
39,151
39,919
40,653
41,420
42,156
42,922
43,658
44,423
45,160
45,925
46,662
47,426
48,163
48,928
49,665
50,429
51,167
51,930
52,669
53,432
54,170
54,933
55,672
56,434

57,173
57,935
58,675
59,437
60,176
60,938
61,678
62,439
63,179
63,940
64,680
65,441
66,181
66,942
67,683
68,443
69,184
69,944
70,685
71,445
72,186
72,946

max.
—
—
4,455
5,114
5,727
6,406

7,243
7,930
8,753
9,448
10,261
10,962
11,768
12,473
13,273
13,982
14,778
15,490
16,282
16,997
17,785
18,503
19,289
19,757
20,540
21,263
22,044
22,768
23,547
24,273
25,050
25,777
26,553
27,282
28,056
28,785

29,559
30,289
31,061
31,792
32,564
33,295
34,066
34,798
35,568
36,301
37,070
37,804
38,572
39,306
40,074
40,809
41,575
42,311
43,077
43,813
44,579
45,315
46,081
46,817
47,582
48,319
49,084
49,821
50,585
51,323

52,087
52,825
53,588
54,327
55,090
55,828
56,591
57,330
58,092
58,832
59,594
60,333
61,095
61,835
62,596
63,336
64,097
64,838
65,599
66,339
67,100
67,840
68,601
69,342
70,102
70,843
71,603
72,344
73,104

—
—
2,097
2,001
2,232
2,129
2,092
2,033
2,013
1,974
1,962
1,935
1,927
1,906
1,901
1,885
1,881
1,868
1,865
1,854
1,852
1,843
1,841
1,888
1,884
1,876
1,872
1,865
1,862
1,855

1,853
1,847
1,845
1,840
1,838
1,833
1,832
1,828
1,826
1,823
1,821
1,818
1,817
1,814
1,813
1,810
1,809
1,806
1,806
1,803
1,802
1,800
1,800
1,798
1,797
1,795
1,794
1,793
1,792
1,791

1,790
1,789
1,788
1,787
1,786
1,785
1,784
1,783
1,783
1,782
1,781
1,780
1,780
1,779
1,778
1,777
1,777
1,776
1,776
1,775
1,775
1,774
1,774
1,773
1,772
1,772
1,771
1,771
1,770
1,770

1,770
1,769
1,769
1,768
1,768

9

© ISO 2005 – All rights reserved

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

min.
(aux.)

Ki

7H

Not for Resale


ISO 4156-2:2005(E)

Table 8 — Inspection dimensions external spline, α = 30°, m = 0,75, flat or fillet root, Sv max = 1,178
z

DRe

Measurement over balls or pins, MRe (checking of dimensions Smin and Smax) for tolerance classes
4h

6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31

32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61

62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91

92
93
94
95
96
97
98
99
100

1,70
1,60
1,60
1,60
1,60
1,50
1,50
1,50
1,50
1,50
1,50
1,50
1,50
1,50
1,50
1,50
1,50
1,50
1,50
1,50

1,50
1,50
1,50
1,50
1,50
1,50
1,50
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40

1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40

1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40
1,40

5h

6h

min.

max.
(aux.)

min.

max.
(aux.)

min.

max.
(aux.)

min.

max.
(aux.)

7,253
7,622
8,541
9,185
10,062
10,468
11,316
11,993
12,825
13,512
14,332
15,027
15,838
16,539
17,343
18,049
18,847
19,557
20,351
21,063

21,854
22,569
23,356
24,074
24,858
25,578
26,360
26,798
27,577
28,301
29,078
29,803
30,579
31,305
32,080
32,807
33,580
34,308
35,081
35,810
36,581
37,311
38,081
38,812
39,582
40,313
41,082
41,814
42,582
43,315

44,083
44,816
45,583
46,317
47,083
47,818
48,583
49,318
50,083
50,819
51,583
52,319
53,083
53,820
54,583
55,320
56,083
56,821
57,583
58,321
59,083
59,821
60,583
61,322
62,083
62,822
63,583
64,322
65,083
65,822

66,583
67,323
68,083
68,823
69,583
70,323
71,083
71,823
72,583
73,323
74,083
74,824
75,583
76,324
77,083

7,273
7,642
8,562
9,206
10,084
10,490
11,339
12,017
12,849
13,536
14,356
15,052
15,863
16,564

17,368
18,074
18,873
19,582
20,376
21,089
21,880
22,595
23,382
24,101
24,885
25,605
26,387
26,825
27,605
28,328
29,106
29,831
30,607
31,333
32,107
32,835
33,608
34,336
35,108
35,838
36,609
37,339
38,109
38,840

39,610
40,341
41,110
41,842
42,610
43,343
44,111
44,844
45,611
46,345
47,111
47,846
48,611
49,346
50,111
50,847
51,611
52,347
53,112
53,848
54,612
55,348
56,112
56,849
57,612
58,349
59,112
59,850
60,612
61,350

62,112
62,850
63,612
64,350
65,112
65,851
66,612
67,351
68,112
68,851
69,612
70,351
71,112
71,851
72,611
73,352
74,111
74,852
75,611
76,352
77,111

7,234
7,602
8,519
9,163
10,039
10,444
11,291
11,969

12,799
13,487
14,306
15,001
15,811
16,512
17,315
18,021
18,819
19,528
20,322
21,034
21,824
22,540
23,326
24,044
24,828
25,548
26,330
26,767
27,546
28,269
29,046
29,771
30,547
31,273
32,047
32,774
33,547
34,275

35,047
35,777
36,548
37,278
38,048
38,778
39,548
40,279
41,048
41,780
42,548
43,281
44,048
44,781
45,548
46,282
47,047
47,782
48,547
49,282
50,047
50,783
51,547
52,283
53,047
53,783
54,547
55,284
56,047
56,784

57,547
58,284
59,046
59,784
60,546
61,284
62,046
62,784
63,546
64,284
65,046
65,784
66,545
67,285
68,045
68,785
69,545
70,285
71,045
71,785
72,545
73,285
74,044
74,785
75,544
76,285
77,044

7,266
7,636

8,555
9,199
10,076
10,483
11,331
12,009
12,840
13,528
14,348
15,043
15,854
16,555
17,359
18,065
18,863
19,573
20,367
21,079
21,870
22,585
23,372
24,090
24,874
25,594
26,376
26,814
27,594
28,317
29,094
29,819

30,595
31,321
32,095
32,823
33,596
34,324
35,096
35,825
36,597
37,327
38,097
38,828
39,597
40,329
41,097
41,830
42,597
43,330
44,097
44,831
45,598
46,332
47,098
47,832
48,598
49,333
50,098
50,833
51,597
52,333

53,097
53,834
54,597
55,334
56,097
56,834
57,597
58,335
59,097
59,835
60,597
61,335
62,097
62,835
63,597
64,335
65,097
65,835
66,596
67,336
68,096
68,836
69,596
70,336
71,096
71,836
72,596
73,336
74,095
74,836

75,595
76,336
77,095

7,205
7,572
8,487
9,130
10,005
10,408
11,254
11,931
12,761
13,448
14,266
14,961
15,771
16,471
17,274
17,979
18,776
19,485
20,279
20,991
21,780
22,495
23,282
23,999
24,783
25,502

26,284
26,720
27,498
28,221
28,998
29,723
30,498
31,224
31,998
32,725
33,498
34,226
34,997
35,726
36,497
37,227
37,997
38,727
39,496
40,228
40,996
41,728
42,496
43,228
43,995
44,728
45,495
46,229
46,994
47,729

48,494
49,229
49,993
50,729
51,493
52,229
52,992
53,729
54,492
55,229
55,991
56,728
57,491
58,228
58,991
59,728
60,490
61,228
61,990
62,728
63,489
64,228
64,989
65,727
66,488
67,227
67,988
68,727
69,487
70,227

70,987
71,726
72,486
73,226
73,986
74,726
75,485
76,226
76,985

7,257
7,626
8,545
9,189
10,066
10,471
11,319
11,997
12,828
13,516
14,335
15,030
15,841
16,542
17,345
18,051
18,849
19,559
20,352
21,065

21,855
22,571
23,357
24,075
24,859
25,579
26,361
26,799
27,578
28,301
29,078
29,803
30,578
31,304
32,079
32,806
33,579
34,307
35,079
35,808
36,579
37,309
38,079
38,810
39,579
40,311
41,079
41,811
42,579
43,312

44,079
44,812
45,579
46,313
47,079
47,813
48,578
49,313
50,078
50,814
51,578
52,314
53,078
53,814
54,577
55,314
56,077
56,814
57,577
58,314
59,076
59,814
60,576
61,314
62,076
62,814
63,576
64,314
65,075
65,814

66,575
67,314
68,075
68,814
69,574
70,314
71,074
71,814
72,573
73,313
74,073
74,813
75,573
76,313
77,072

7,156
7,521
8,433
9,075
9,947
10,348
11,192
11,869
12,697
13,383
14,200
14,894
15,702
16,402

17,204
17,909
18,705
19,414
20,206
20,918
21,706
22,421
23,207
23,924
24,707
25,426
26,206
26,641
27,419
28,141
28,918
29,642
30,417
31,142
31,916
32,642
33,415
34,142
34,914
35,642
36,412
37,142
37,911
38,642

39,410
40,141
40,909
41,641
42,408
43,141
43,907
44,640
45,406
46,140
46,905
47,639
48,404
49,139
49,903
50,638
51,402
52,138
52,901
53,637
54,400
55,136
55,899
56,636
57,398
58,135
58,897
59,635
60,396
61,134

61,895
62,633
63,394
64,133
64,893
65,632
66,392
67,131
67,891
68,631
69,391
70,130
70,890
71,629
72,389
73,128
73,888
74,628
75,387
76,127
76,886

7,242
7,611
8,528
9,172
10,048
10,453
11,300
11,978

12,808
13,496
14,315
15,010
15,820
16,521
17,324
18,029
18,827
19,536
20,330
21,042
21,832
22,547
23,334
24,051
24,835
25,555
26,336
26,773
27,552
28,275
29,052
29,777
30,552
31,278
32,052
32,779
33,552
34,280

35,052
35,781
36,552
37,281
38,051
38,782
39,551
40,282
41,050
41,783
42,550
43,283
44,050
44,783
45,549
46,283
47,049
47,783
48,548
49,283
50,048
50,783
51,547
52,283
53,047
53,783
54,546
55,283
56,045
56,782

57,545
58,282
59,044
59,782
60,544
61,282
62,043
62,781
63,543
64,281
65,042
65,781
66,541
67,280
68,041
68,780
69,540
70,280
71,040
71,779
72,539
73,279
74,038
74,778
75,538
76,278
77,037

10

1,237
1,274
1,334
1,337
1,379
1,426
1,457
1,461
1,484
1,488
1,507
1,510
1,525
1,528
1,541
1,544
1,555
1,557
1,567
1,569
1,577
1,579
1,586
1,588
1,595
1,596
1,602
1,633
1,638
1,639

1,643
1,643
1,647
1,648
1,651
1,652
1,655
1,655
1,658
1,659
1,661
1,662
1,664
1,665
1,667
1,667
1,669
1,670
1,671
1,672
1,674
1,674
1,676
1,676
1,677
1,678
1,679
1,679
1,681
1,681

1,682
1,683
1,684
1,684
1,685
1,685
1,687
1,687
1,688
1,688
1,689
1,689
1,690
1,690
1,691
1,691
1,692
1,692
1,693
1,693
1,694
1,694
1,695
1,695
1,696
1,696
1,697
1,697
1,697
1,698

1,698
1,698
1,699
1,699
1,700

© ISO 2005 – All rights reserved

--`,,```,,,,````-`-`,,`,,`,`,,`---

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Ke

7h

Not for Resale


ISO 4156-2:2005(E)

5.3

30° pressure angle, module 1
Table 9 — Geometry internal spline, α = 30°, m = 1, flat or fillet root, Ev min = 1,571
z
6
7

8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37

38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67

68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97

98
99
100

D
6,00
7,00
8,00
9,00
10,00
11,00
12,00
13,00
14,00
15,00
16,00
17,00
18,00
19,00
20,00
21,00
22,00
23,00
24,00
25,00
26,00
27,00
28,00
29,00
30,00

31,00
32,00
33,00
34,00
35,00
36,00
37,00
38,00
39,00
40,00
41,00
42,00
43,00
44,00
45,00
46,00
47,00
48,00
49,00
50,00
51,00
52,00
53,00
54,00
55,00
56,00
57,00
58,00
59,00
60,00

61,00
62,00
63,00
64,00
65,00
66,00
67,00
68,00
69,00
70,00
71,00
72,00
73,00
74,00
75,00
76,00
77,00
78,00
79,00
80,00
81,00
82,00
83,00
84,00
85,00
86,00
87,00
88,00
89,00
90,00

91,00
92,00
93,00
94,00
95,00
96,00
97,00
98,00
99,00
100,00

Db

Dei max
Fillet root

Dei max

DFi min

Dii min

5,1962
6,0622
6,9282
7,7942
8,6603
9,5263
10,3923
11,2583

12,1244
12,9904
13,8564
14,7224
15,5885
16,4545
17,3205
18,1865
19,0526
19,9186
20,7846
21,6506
22,5167
23,3827
24,2487
25,1147
25,9808
26,8468
27,7128
28,5788
29,4449
30,3109
31,1769
32,0429
32,9090
33,7750
34,6410
35,5070
36,3731
37,2391

38,1051
38,9711
39,8372
40,7032
41,5692
42,4352
43,3013
44,1673
45,0333
45,8993
46,7654
47,6314
48,4974
49,3634
50,2295
51,0955
51,9615
52,8275
53,6936
54,5596
55,4256
56,2917
57,1577
58,0237
58,8897
59,7558
60,6218
61,4878
62,3538
63,2199

64,0859
64,9519
65,8179
66,6840
67,5500
68,4160
69,2820
70,1481
71,0141
71,8801
72,7461
73,6122
74,4782
75,3442
76,2102
77,0763
77,9423
78,8083
79,6743
80,5404
81,4064
82,2724
83,1384
84,0045
84,8705
85,7365
86,6025

8,00
9,01

10,01
11,01
12,01
13,02
14,02
15,02
16,02
17,02
18,03
19,03
20,03
21,03
22,03
23,03
24,03
25,04
26,04
27,04
28,04
29,04
30,04
31,04
32,04
33,05
34,05
35,05
36,05
37,05
38,05
39,05

40,05
41,05
42,05
43,06
44,06
45,06
46,06
47,06
48,06
49,06
50,06
51,06
52,06
53,06
54,07
55,07
56,07
57,07
58,07
59,07
60,07
61,07
62,07
63,07
64,07
65,07
66,07
67,08
68,08
69,08

70,08
71,08
72,08
73,08
74,08
75,08
76,08
77,08
78,08
79,08
80,08
81,08
82,09
83,09
84,09
85,09
86,09
87,09
88,09
89,09
90,09
91,09
92,09
93,09
94,09
95,09
96,09
97,09
98,09
99,10

100,10
101,10
102,10

7,70
8,71
9,71
10,71
11,71
12,72
13,72
14,72
15,72
16,72
17,73
18,73
19,73
20,73
21,73
22,73
23,73
24,74
25,74
26,74
27,74
28,74
29,74
30,74
31,74
32,75

33,75
34,75
35,75
36,75
37,75
38,75
39,75
40,75
41,75
42,76
43,76
44,76
45,76
46,76
47,76
48,76
49,76
50,76
51,76
52,76
53,77
54,77
55,77
56,77
57,77
58,77
59,77
60,77
61,77
62,77

63,77
64,77
65,77
66,78
67,78
68,78
69,78
70,78
71,78
72,78
73,78
74,78
75,78
76,78
77,78
78,78
79,78
80,78
81,79
82,79
83,79
84,79
85,79
86,79
87,79
88,79
89,79
90,79
91,79
92,79

93,79
94,79
95,79
96,79
97,79
98,80
99,80
100,80
101,80

7,20
8,20
9,20
10,20
11,20
12,20
13,20
14,20
15,20
16,20
17,20
18,20
19,20
20,20
21,20
22,20
23,20
24,20
25,20
26,20

27,20
28,20
29,20
30,20
31,20
32,20
33,20
34,20
35,20
36,20
37,20
38,20
39,20
40,20
41,20
42,20
43,20
44,20
45,20
46,20
47,20
48,20
49,20
50,20
51,20
52,20
53,20
54,20
55,20
56,20

57,20
58,20
59,20
60,20
61,20
62,20
63,20
64,20
65,20
66,20
67,20
68,20
69,20
70,20
71,20
72,20
73,20
74,20
75,20
76,20
77,20
78,20
79,20
80,20
81,20
82,20
83,20
84,20
85,20
86,20

87,20
88,20
89,20
90,20
91,20
92,20
93,20
94,20
95,20
96,20
97,20
98,20
99,20
100,20
101,20

5,43
6,36
7,31
8,27
9,24
10,22
11,20
12,18
13,17
14,16
15,15
16,14
17,13
18,12

19,11
20,11
21,10
22,10
23,09
24,09
25,09
26,08
27,08
28,08
29,07
30,07
31,07
32,07
33,07
34,06
35,06
36,06
37,06
38,06
39,06
40,05
41,05
42,05
43,05
44,05
45,05
46,05
47,05
48,05

49,04
50,04
51,04
52,04
53,04
54,04
55,04
56,04
57,04
58,04
59,04
60,04
61,04
62,03
63,03
64,03
65,03
66,03
67,03
68,03
69,03
70,03
71,03
72,03
73,03
74,03
75,03
76,03
77,03
78,03

79,03
80,03
81,03
82,03
83,03
84,03
85,03
86,03
87,02
88,02
89,02
90,02
91,02
92,02
93,02
94,02
95,02
96,02
97,02
98,02
99,02

Flat

Emax
4H

5H

6H

7H

1,600
1,601
1,601
1,601
1,602
1,602
1,602
1,603
1,603
1,603
1,603
1,604
1,604
1,604
1,604
1,605
1,605
1,605
1,605
1,605
1,606
1,606
1,606
1,606
1,606
1,606
1,607

1,607
1,607
1,607
1,607
1,607
1,607
1,608
1,608
1,608
1,608
1,608
1,608
1,608
1,609
1,609
1,609
1,609
1,609
1,609
1,609
1,609
1,610
1,610
1,610
1,610
1,610
1,610
1,610
1,610
1,610

1,611
1,611
1,611
1,611
1,611
1,611
1,611
1,611
1,611
1,611
1,612
1,612
1,612
1,612
1,612
1,612
1,612
1,612
1,612
1,612
1,612
1,613
1,613
1,613
1,613
1,613
1,613
1,613
1,613
1,613

1,613
1,613
1,613
1,614
1,614
1,614
1,614
1,614

1,618
1,618
1,619
1,620
1,620
1,621
1,621
1,622
1,622
1,623
1,623
1,623
1,624
1,624
1,624
1,625
1,625
1,625
1,626
1,626
1,626

1,627
1,627
1,627
1,627
1,628
1,628
1,628
1,628
1,629
1,629
1,629
1,629
1,630
1,630
1,630
1,630
1,630
1,631
1,631
1,631
1,631
1,632
1,632
1,632
1,632
1,632
1,632
1,633
1,633
1,633

1,633
1,633
1,634
1,634
1,634
1,634
1,634
1,634
1,635
1,635
1,635
1,635
1,635
1,635
1,636
1,636
1,636
1,636
1,636
1,636
1,636
1,637
1,637
1,637
1,637
1,637
1,637
1,637
1,638
1,638

1,638
1,638
1,638
1,638
1,638
1,639
1,639
1,639
1,639
1,639
1,639
1,639
1,639
1,640

1,644
1,645
1,646
1,647
1,648
1,649
1,650
1,650
1,651
1,652
1,652
1,653
1,653
1,654
1,655

1,655
1,656
1,656
1,657
1,657
1,657
1,658
1,658
1,659
1,659
1,660
1,660
1,660
1,661
1,661
1,662
1,662
1,662
1,663
1,663
1,663
1,664
1,664
1,664
1,665
1,665
1,665
1,666
1,666
1,666

1,666
1,667
1,667
1,667
1,668
1,668
1,668
1,668
1,669
1,669
1,669
1,670
1,670
1,670
1,670
1,671
1,671
1,671
1,671
1,672
1,672
1,672
1,672
1,673
1,673
1,673
1,673
1,673
1,674
1,674

1,674
1,674
1,675
1,675
1,675
1,675
1,675
1,676
1,676
1,676
1,676
1,677
1,677
1,677
1,677
1,677
1,678
1,678
1,678
1,678

1,688
1,690
1,691
1,693
1,694
1,695
1,697
1,698
1,699

1,700
1,701
1,702
1,703
1,704
1,705
1,705
1,706
1,707
1,708
1,709
1,709
1,710
1,711
1,711
1,712
1,713
1,713
1,714
1,715
1,715
1,716
1,716
1,717
1,718
1,718
1,719
1,719
1,720
1,720

1,721
1,721
1,722
1,722
1,723
1,723
1,724
1,724
1,725
1,725
1,726
1,726
1,727
1,727
1,727
1,728
1,728
1,729
1,729
1,730
1,730
1,730
1,731
1,731
1,732
1,732
1,732
1,733
1,733
1,733

1,734
1,734
1,735
1,735
1,735
1,736
1,736
1,736
1,737
1,737
1,737
1,738
1,738
1,739
1,739
1,739
1,740
1,740
1,740
1,741
1,741
1,741
1,742
1,742
1,742
1,742

--`,,```,,,,````-`-`,,`,,`,`,,`---

11

© ISO 2005 – All rights reserved

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Not for Resale


ISO 4156-2:2005(E)

Table 10 — Geometry external spline, α = 30°, m = 1, flat and fillet root, Sv max = 1,571
z
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21

22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51

52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81

82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100

12

D

Db

6,00
7,00
8,00
9,00

10,00
11,00
12,00
13,00
14,00
15,00
16,00
17,00
18,00
19,00
20,00
21,00
22,00
23,00
24,00
25,00
26,00
27,00
28,00
29,00
30,00
31,00
32,00
33,00
34,00
35,00
36,00
37,00
38,00
39,00

40,00
41,00
42,00
43,00
44,00
45,00
46,00
47,00
48,00
49,00
50,00
51,00
52,00
53,00
54,00
55,00
56,00
57,00
58,00
59,00
60,00
61,00
62,00
63,00
64,00
65,00
66,00
67,00
68,00
69,00

70,00
71,00
72,00
73,00
74,00
75,00
76,00
77,00
78,00
79,00
80,00
81,00
82,00
83,00
84,00
85,00
86,00
87,00
88,00
89,00
90,00
91,00
92,00
93,00
94,00
95,00
96,00
97,00
98,00
99,00

100,00

5,1962
6,0622
6,9282
7,7942
8,6603
9,5263
10,3923
11,2583
12,1244
12,9904
13,8564
14,7224
15,5885
16,4545
17,3205
18,1865
19,0526
19,9186
20,7846
21,6506
22,5167
23,3827
24,2487
25,1147
25,9808
26,8468
27,7128
28,5788

29,4449
30,3109
31,1769
32,0429
32,9090
33,7750
34,6410
35,5070
36,3731
37,2391
38,1051
38,9711
39,8372
40,7032
41,5692
42,4352
43,3013
44,1673
45,0333
45,8993
46,7654
47,6314
48,4974
49,3634
50,2295
51,0955
51,9615
52,8275
53,6936
54,5596

55,4256
56,2917
57,1577
58,0237
58,8897
59,7558
60,6218
61,4878
62,3538
63,2199
64,0859
64,9519
65,8179
66,6840
67,5500
68,4160
69,2820
70,1481
71,0141
71,8801
72,7461
73,6122
74,4782
75,3442
76,2102
77,0763
77,9423
78,8083
79,6743
80,5404

81,4064
82,2724
83,1384
84,0045
84,8705
85,7365
86,6025

Dee max
7,00
8,00
9,00
10,00
11,00
12,00
13,00
14,00
15,00
16,00
17,00
18,00
19,00
20,00
21,00
22,00
23,00
24,00
25,00
26,00
27,00

28,00
29,00
30,00
31,00
32,00
33,00
34,00
35,00
36,00
37,00
38,00
39,00
40,00
41,00
42,00
43,00
44,00
45,00
46,00
47,00
48,00
49,00
50,00
51,00
52,00
53,00
54,00
55,00
56,00
57,00

58,00
59,00
60,00
61,00
62,00
63,00
64,00
65,00
66,00
67,00
68,00
69,00
70,00
71,00
72,00
73,00
74,00
75,00
76,00
77,00
78,00
79,00
80,00
81,00
82,00
83,00
84,00
85,00
86,00
87,00

88,00
89,00
90,00
91,00
92,00
93,00
94,00
95,00
96,00
97,00
98,00
99,00
100,00
101,00

DFe max
5,23
6,16
7,11
8,07
9,04
10,02
11,00
11,98
12,97
13,96
14,95
15,94
16,93
17,92

18,91
19,91
20,90
21,90
22,89
23,89
24,89
25,88
26,88
27,88
28,87
29,87
30,87
31,87
32,87
33,86
34,86
35,86
36,86
37,86
38,86
39,85
40,85
41,85
42,85
43,85
44,85
45,85
46,85
47,85

48,84
49,84
50,84
51,84
52,84
53,84
54,84
55,84
56,84
57,84
58,84
59,84
60,84
61,83
62,83
63,83
64,83
65,83
66,83
67,83
68,83
69,83
70,83
71,83
72,83
73,83
74,83
75,83
76,83
77,83

78,83
79,83
80,83
81,83
82,83
83,83
84,83
85,83
86,82
87,82
88,82
89,82
90,82
91,82
92,82
93,82
94,82
95,82
96,82
97,82
98,82

Die min
Fillet root
4,00
4,99
5,99
6,99
7,99
8,98

9,98
10,98
11,98
12,98
13,97
14,97
15,97
16,97
17,97
18,97
19,97
20,96
21,96
22,96
23,96
24,96
25,96
26,96
27,96
28,95
29,95
30,95
31,95
32,95
33,95
34,95
35,95
36,95
37,95
38,94

39,94
40,94
41,94
42,94
43,94
44,94
45,94
46,94
47,94
48,94
49,93
50,93
51,93
52,93
53,93
54,93
55,93
56,93
57,93
58,93
59,93
60,93
61,93
62,92
63,92
64,92
65,92
66,92
67,92
68,92

69,92
70,92
71,92
72,92
73,92
74,92
75,92
76,92
77,91
78,91
79,91
80,91
81,91
82,91
83,91
84,91
85,91
86,91
87,91
88,91
89,91
90,91
91,91
92,91
93,91
94,90
95,90
96,90
97,90

Die min
Flat
4,30
5,29
6,29
7,29
8,29
9,28
10,28
11,28
12,28
13,28
14,27
15,27
16,27
17,27
18,27
19,27
20,27
21,26
22,26
23,26
24,26
25,26
26,26
27,26
28,26
29,25
30,25
31,25

32,25
33,25
34,25
35,25
36,25
37,25
38,25
39,24
40,24
41,24
42,24
43,24
44,24
45,24
46,24
47,24
48,24
49,24
50,23
51,23
52,23
53,23
54,23
55,23
56,23
57,23
58,23
59,23
60,23
61,23

62,23
63,22
64,22
65,22
66,22
67,22
68,22
69,22
70,22
71,22
72,22
73,22
74,22
75,22
76,22
77,22
78,21
79,21
80,21
81,21
82,21
83,21
84,21
85,21
86,21
87,21
88,21
89,21
90,21
91,21

92,21
93,21
94,21
95,20
96,20
97,20
98,20

--`,,```,,,,````-`-`,,`,,`,`,,`---

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Smin
4h

5h

6h

7h

1,542
1,541
1,541
1,541
1,540
1,540
1,540

1,539
1,539
1,539
1,539
1,538
1,538
1,538
1,538
1,537
1,537
1,537
1,537
1,537
1,536
1,536
1,536
1,536
1,536
1,536
1,535
1,535
1,535
1,535
1,535
1,535
1,535
1,534
1,534
1,534
1,534

1,534
1,534
1,534
1,533
1,533
1,533
1,533
1,533
1,533
1,533
1,533
1,532
1,532
1,532
1,532
1,532
1,532
1,532
1,532
1,532
1,531
1,531
1,531
1,531
1,531
1,531
1,531
1,531
1,531
1,531

1,530
1,530
1,530
1,530
1,530
1,530
1,530
1,530
1,530
1,530
1,530
1,529
1,529
1,529
1,529
1,529
1,529
1,529
1,529
1,529
1,529
1,529
1,529
1,528
1,528
1,528
1,528
1,528

1,524

1,524
1,523
1,522
1,522
1,521
1,521
1,520
1,520
1,519
1,519
1,519
1,518
1,518
1,518
1,517
1,517
1,517
1,516
1,516
1,516
1,515
1,515
1,515
1,515
1,514
1,514
1,514
1,514
1,513
1,513

1,513
1,513
1,512
1,512
1,512
1,512
1,512
1,511
1,511
1,511
1,511
1,510
1,510
1,510
1,510
1,510
1,510
1,509
1,509
1,509
1,509
1,509
1,508
1,508
1,508
1,508
1,508
1,508
1,507
1,507

1,507
1,507
1,507
1,507
1,506
1,506
1,506
1,506
1,506
1,506
1,506
1,505
1,505
1,505
1,505
1,505
1,505
1,505
1,504
1,504
1,504
1,504
1,504
1,504
1,504
1,503
1,503
1,503
1,503
1,503

1,503
1,503
1,503
1,502

1,498
1,497
1,496
1,495
1,494
1,493
1,492
1,492
1,491
1,490
1,490
1,489
1,489
1,488
1,487
1,487
1,486
1,486
1,485
1,485
1,485
1,484
1,484
1,483
1,483

1,482
1,482
1,482
1,481
1,481
1,480
1,480
1,480
1,479
1,479
1,479
1,478
1,478
1,478
1,477
1,477
1,477
1,476
1,476
1,476
1,476
1,475
1,475
1,475
1,474
1,474
1,474
1,474
1,473
1,473

1,473
1,472
1,472
1,472
1,472
1,471
1,471
1,471
1,471
1,470
1,470
1,470
1,470
1,469
1,469
1,469
1,469
1,469
1,468
1,468
1,468
1,468
1,467
1,467
1,467
1,467
1,467
1,466
1,466
1,466

1,466
1,465
1,465
1,465
1,465
1,465
1,464
1,464
1,464
1,464

1,454
1,452
1,451
1,449
1,448
1,447
1,445
1,444
1,443
1,442
1,441
1,440
1,439
1,438
1,437
1,437
1,436
1,435
1,434

1,433
1,433
1,432
1,431
1,431
1,430
1,429
1,429
1,428
1,427
1,427
1,426
1,426
1,425
1,424
1,424
1,423
1,423
1,422
1,422
1,421
1,421
1,420
1,420
1,419
1,419
1,418
1,418
1,417
1,417

1,416
1,416
1,415
1,415
1,415
1,414
1,414
1,413
1,413
1,412
1,412
1,412
1,411
1,411
1,410
1,410
1,410
1,409
1,409
1,409
1,408
1,408
1,407
1,407
1,407
1,406
1,406
1,406
1,405
1,405

1,405
1,404
1,404
1,403
1,403
1,403
1,402
1,402
1,402
1,401
1,401
1,401
1,400
1,400
1,400
1,400

© ISO 2005 – All rights reserved
Not for Resale


ISO 4156-2:2005(E)

Table 11 — Inspection dimensions internal spline, α = 30°, m = 1, flat or fillet root, Ev min = 1,571
z

DRi

Measurement over balls or pins, MRi (checking of dimensions Emin and Emax) for tolerance classes
4H

min.

5H
max.

(aux.)
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29

30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59

60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89

90
91
92
93
94
95
96
97
98
99
100

—
—
1,70
1,70
1,70
1,70
1,70
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80

1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80

1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80

1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80
1,80

max.

(aux.)

—
—
5,475
6,390
7,538
8,450
9,566
10,120

11,224
12,160
13,247
14,188
15,263
16,208
17,275
18,224
19,284
20,237
21,291
22,247
23,297
24,256
25,302
26,263
27,307
28,270
29,310
30,276
31,314
32,281
33,317
34,285
35,319
36,289
37,321
38,293
39,324
40,296

41,326
42,300
43,327
44,302
45,329
46,305
47,331
48,308
49,332
50,310
51,333
52,312
53,335
54,314
55,336
56,316
57,337
58,318
59,338
60,319
61,339
62,321
63,340
64,322
65,341
66,324
67,342
68,325
69,343
70,327

71,344
72,328
73,345
74,329
75,345
76,330
77,346
78,331
79,347
80,332
81,348
82,334
83,348
84,335
85,349
86,335
87,350
88,336
89,350
90,337
91,351
92,338
93,351
94,339
95,352
96,340
97,353

min.

6H

—
—
5,532
6,438
7,583
8,492
9,607
10,165
11,267
12,202
13,288
14,228
15,303
16,247
17,314
18,262
19,322
20,274
21,329
22,284
23,334
24,292
25,339
26,300
27,343
28,306
29,346
30,311

31,349
32,316
33,352
34,321
35,354
36,325
37,357
38,328
39,359
40,331
41,360
42,334
43,362
44,337
45,364
46,340
47,365
48,342
49,366
50,344
51,368
52,346
53,369
54,348
55,370
56,350
57,371
58,351
59,372
60,353

61,373
62,355
63,374
64,356
65,375
66,357
67,375
68,359
69,376
70,360
71,377
72,361
73,378
74,362
75,378
76,363
77,379
78,364
79,380
80,365
81,380
82,366
83,381
84,367
85,382
86,368
87,382
88,369
89,383
90,370

91,383
92,371
93,384
94,371
95,384
96,372
97,385

max.

(aux.)

—
—
5,493
6,405
7,553
8,463
9,579
10,135
11,239
12,174
13,262
14,202
15,277
16,222
17,289
18,238
19,298
20,250

21,305
22,261
23,311
24,270
25,316
26,277
27,321
28,284
29,325
30,290
31,328
32,295
33,331
34,300
35,334
36,304
37,336
38,308
39,339
40,311
41,341
42,315
43,343
44,318
45,344
46,321
47,346
48,323
49,348
50,326

51,349
52,328
53,351
54,330
55,352
56,332
57,353
58,334
59,355
60,336
61,356
62,338
63,357
64,339
65,358
66,341
67,359
68,342
69,360
70,344
71,361
72,345
73,362
74,347
75,363
76,348
77,364
78,349
79,365
80,350

81,365
82,351
83,366
84,353
85,367
86,354
87,368
88,355
89,369
90,356
91,369
92,357
93,370
94,358
95,371
96,359
97,371

min.

—
—
5,584
6,484
7,627
8,533
9,648
10,210
11,312
12,245

13,331
14,269
15,344
16,288
17,354
18,302
19,363
20,314
21,369
22,324
23,374
24,333
25,379
26,340
27,383
28,346
29,387
30,352
31,390
32,357
33,393
34,361
35,395
36,365
37,397
38,369
39,400
40,372
41,402
42,376

43,403
44,378
45,405
46,381
47,407
48,384
49,408
50,386
51,410
52,388
53,411
54,390
55,412
56,392
57,413
58,394
59,415
60,396
61,416
62,398
63,417
64,399
65,418
66,401
67,419
68,402
69,420
70,404
71,421
72,405

73,422
74,406
75,422
76,407
77,423
78,409
79,424
80,410
81,425
82,411
83,426
84,412
85,426
86,413
87,427
88,414
89,428
90,415
91,429
92,416
93,429
94,417
95,430
96,418
97,430

min.

max.

(aux.)

—
—
5,519
6,427
7,573
8,483
9,599
10,156
11,260
12,195
13,282
14,221
15,297
16,241
17,308
18,257
19,317
20,270
21,325
22,280
23,331
24,289
25,336
26,297
27,341
28,304
29,345
30,310

31,348
32,316
33,351
34,320
35,354
36,325
37,357
38,329
39,360
40,333
41,362
42,336
43,364
44,339
45,366
46,342
47,368
48,345
49,370
50,348
51,371
52,350
53,373
54,353
55,375
56,355
57,376
58,357
59,378
60,359

61,379
62,361
63,380
64,363
65,382
66,365
67,383
68,366
69,384
70,368
71,385
72,370
73,386
74,371
75,387
76,373
77,389
78,374
79,390
80,375
81,391
82,377
83,392
84,378
85,393
86,379
87,394
88,381
89,394
90,382

91,395
92,383
93,396
94,384
95,397
96,385
97,398

Ki

7H

—
—
5,657
6,549
7,690
8,594
9,708
10,276
11,376
12,308
13,393
14,331
15,406
16,348
17,415
18,363
19,423
20,374

21,429
22,384
23,434
24,392
25,439
26,400
27,443
28,406
29,447
30,412
31,450
32,417
33,453
34,422
35,456
36,426
37,459
38,430
39,461
40,434
41,463
42,437
43,465
44,440
45,467
46,443
47,469
48,446
49,471
50,449

51,472
52,451
53,474
54,453
55,476
56,456
57,477
58,458
59,478
60,460
61,480
62,462
63,481
64,464
65,482
66,465
67,484
68,467
69,485
70,469
71,486
72,470
73,487
74,472
75,488
76,473
77,489
78,475
79,490
80,476

81,491
82,478
83,492
84,479
85,493
86,480
87,494
88,481
89,495
90,483
91,496
92,484
93,497
94,485
95,498
96,486
97,499

—
—
5,559
6,462
7,606
8,514
9,629
10,190
11,293
12,227
13,314
14,253

15,328
16,272
17,340
18,288
19,348
20,301
21,356
22,311
23,362
24,321
25,367
26,329
27,372
28,336
29,376
30,342
31,380
32,348
33,384
34,353
35,387
36,357
37,390
38,362
39,393
40,366
41,395
42,369
43,398
44,373

45,400
46,376
47,402
48,379
49,404
50,382
51,406
52,385
53,408
54,388
55,410
56,390
57,412
58,393
59,413
60,395
61,415
62,397
63,417
64,399
65,418
66,401
67,420
68,403
69,421
70,405
71,423
72,407
73,424
74,409

75,426
76,411
77,427
78,412
79,428
80,414
81,429
82,416
83,431
84,417
85,432
86,419
87,433
88,420
89,434
90,422
91,436
92,423
93,437
94,425
95,438
96,426
97,439

—
—
5,767
6,651
7,790
8,691

9,805
10,381
11,480
12,409
13,494
14,431
15,505
16,447
17,514
18,461
19,521
20,473
21,528
22,483
23,533
24,491
25,538
26,499
27,542
28,506
29,546
30,512
31,550
32,517
33,553
34,522
35,557
36,527
37,560
38,531

39,562
40,535
41,565
42,539
43,568
44,543
45,570
46,546
47,572
48,550
49,575
50,553
51,577
52,555
53,579
54,558
55,581
56,561
57,583
58,563
59,584
60,566
61,586
62,568
63,588
64,571
65,590
66,573
67,591
68,575

69,593
70,577
71,595
72,579
73,596
74,581
75,598
76,583
77,599
78,585
79,601
80,587
81,602
82,588
83,603
84,590
85,605
86,592
87,606
88,593
89,607
90,595
91,609
92,596
93,610
94,598
95,611
96,599
97,612

—
—
2,322
2,164
2,117
2,040
2,019
2,161
2,123
2,069
2,046
2,009
1,994
1,968
1,957
1,937
1,929
1,913
1,907
1,894
1,890
1,879
1,875
1,866
1,863
1,856
1,853
1,846
1,844
1,839

1,837
1,832
1,830
1,826
1,824
1,820
1,819
1,815
1,814
1,811
1,810
1,807
1,806
1,803
1,803
1,800
1,799
1,797
1,797
1,794
1,794
1,792
1,791
1,790
1,789
1,787
1,787
1,785
1,785
1,783

1,783
1,782
1,781
1,780
1,780
1,779
1,778
1,777
1,777
1,776
1,775
1,774
1,774
1,773
1,773
1,772
1,772
1,771
1,771
1,770
1,770
1,769
1,769
1,768
1,768
1,767
1,767
1,766
1,766
1,765

1,765
1,765
1,764
1,764
1,764

--`,,```,,,,````-`-`,,`,,`,`,,`---

13

© ISOfor2005
– All rights reserved
Copyright International Organization
Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Not for Resale


ISO 4156-2:2005(E)

Table 12 — Inspection dimensions external spline, α = 30°, m = 1, fillet root, Sv max = 1,571
DRe

Measurement over balls or pins, MRe (checking of dimensions Smin and Smax) for tolerance classes
4h
min.

6

7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36

37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66

67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96

97
98
99
100

2,24
2,24
2,12
2,12
2,12
2,00
2,00
2,00
2,00
2,00
2,00
2,00
2,00
2,00
2,00
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90

1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90

1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90

1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90
1,90

9,615
10,429
11,362
12,222
13,390
13,966
15,097
16,001
17,109
18,026
19,119
20,046
21,128
22,062
23,134
23,799
24,863
25,808
26,866

27,816
28,869
29,823
30,871
31,829
32,874
33,834
34,876
35,838
36,877
37,842
38,879
39,845
40,880
41,848
42,881
43,851
44,882
45,853
46,883
47,856
48,884
49,858
50,885
51,859
52,885
53,861
54,886
55,862
56,886

57,864
58,887
59,865
60,887
61,866
62,888
63,867
64,888
65,868
66,888
67,869
68,889
69,870
70,889
71,871
72,889
73,872
74,889
75,872
76,890
77,873
78,890
79,874
80,890
81,874
82,890
83,875
84,890
85,875
86,890

87,876
88,890
89,876
90,890
91,876
92,890
93,877
94,891
95,877
96,891
97,877
98,891
99,878
100,891
101,878
102,891

5h
max.
(aux.)
9,636
10,451
11,386
12,245
13,415
13,992
15,123
16,027
17,136
18,053

19,147
20,074
21,155
22,090
23,163
23,828
24,892
25,838
26,895
27,846
28,898
29,853
30,901
31,858
32,904
33,864
34,906
35,868
36,907
37,872
38,909
39,876
40,910
41,879
42,912
43,881
44,913
45,884
46,914
47,886

48,915
49,888
50,915
51,890
52,916
53,892
54,917
55,893
56,917
57,895
58,918
59,896
60,918
61,897
62,919
63,898
64,919
65,899
66,919
67,900
68,920
69,901
70,920
71,902
72,920
73,903
74,920
75,903
76,920
77,904

78,921
79,904
80,921
81,905
82,921
83,906
84,921
85,906
86,921
87,906
88,921
89,907
90,921
91,907
92,921
93,907
94,921
95,908
96,921
97,908
98,921
99,908
100,921
101,909
102,921

min.
9,593
10,408
11,339

12,198
13,365
13,940
15,070
15,973
17,081
17,998
19,091
20,017
21,098
22,033
23,104
23,768
24,831
25,777
26,834
27,784
28,836
29,790
30,838
31,795
32,840
33,800
34,841
35,804
36,843
37,807
38,844
39,810
40,845

41,813
42,845
43,815
44,846
45,817
46,847
47,819
48,847
49,821
50,847
51,822
52,848
53,823
54,848
55,825
56,848
57,826
58,849
59,827
60,849
61,828
62,849
63,828
64,849
65,829
66,849
67,830
68,849
69,830
70,849

71,831
72,849
73,831
74,849
75,832
76,849
77,832
78,849
79,833
80,849
81,833
82,849
83,833
84,849
85,834
86,848
87,834
88,848
89,834
90,848
91,834
92,848
93,834
94,848
95,834
96,848
97,835
98,848
99,835
100,847

101,835
102,847

6h
max.
(aux.)
9,630
10,445
11,379
12,238
13,407
13,983
15,114
16,018
17,127
18,044
19,137
20,064
21,146
22,081
23,153
23,818
24,881
25,827
26,884
27,835
28,887
29,841
30,890
31,847

32,892
33,852
34,894
35,856
36,895
37,860
38,897
39,863
40,898
41,866
42,899
43,868
44,900
45,871
46,900
47,873
48,901
49,875
50,902
51,876
52,902
53,878
54,903
55,879
56,903
57,880
58,903
59,881
60,904
61,882

62,904
63,883
64,904
65,884
66,904
67,885
68,904
69,886
70,904
71,886
72,904
73,887
74,904
75,887
76,904
77,888
78,904
79,888
80,904
81,889
82,904
83,889
84,904
85,889
86,904
87,890
88,904
89,890
90,904
91,890

92,904
93,890
94,904
95,890
96,904
97,890
98,904
99,891
100,903
101,891
102,903

min.
9,561
10,375
11,303
12,161
13,328
13,901
15,029
15,932
17,039
17,956
19,047
19,974
21,053
21,988
23,058
23,721
24,784

25,729
26,785
27,735
28,787
29,740
30,788
31,745
32,789
33,749
34,790
35,752
36,791
37,755
38,791
39,757
40,791
41,759
42,792
43,761
44,792
45,762
46,792
47,764
48,792
49,765
50,792
51,766
52,791
53,767
54,791

55,768
56,791
57,768
58,791
59,769
60,791
61,769
62,790
63,770
64,790
65,770
66,790
67,770
68,789
69,770
70,789
71,771
72,789
73,771
74,788
75,771
76,788
77,771
78,787
79,771
80,787
81,771
82,787
83,771
84,786

85,771
86,786
87,771
88,785
89,771
90,785
91,771
92,784
93,771
94,784
95,770
96,784
97,770
98,783
99,770
100,783
101,770
102,782

14

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Ke

7h
max.
(aux.)

9,620
10,435
11,368
12,227
13,396
13,971
15,102
16,006
17,114
18,031
19,124
20,051
21,132
22,066
23,138
23,803
24,866
25,812
26,869
27,819
28,872
29,825
30,874
31,831
32,875
33,835
34,877
35,839
36,878
37,842

38,879
39,845
40,880
41,848
42,881
43,850
44,881
45,852
46,882
47,854
48,882
49,855
50,882
51,857
52,883
53,858
54,883
55,859
56,883
57,860
58,883
59,861
60,883
61,862
62,883
63,862
64,883
65,863
66,883
67,864

68,883
69,864
70,883
71,864
72,882
73,865
74,882
75,865
76,882
77,865
78,882
79,865
80,882
81,866
82,881
83,866
84,881
85,866
86,881
87,866
88,880
89,866
90,880
91,866
92,880
93,866
94,879
95,866
96,879
97,866

98,879
99,866
100,878
101,866
102,878

min.
9,507
10,320
11,243
12,101
13,264
13,835
14,961
15,864
16,969
17,884
18,975
19,900
20,979
21,912
22,982
23,643
24,704
25,649
26,704
27,654
28,705
29,657
30,704

31,661
32,704
33,663
34,704
35,665
36,703
37,667
38,703
39,668
40,702
41,669
42,701
43,670
44,701
45,671
46,700
47,671
48,699
49,672
50,698
51,672
52,697
53,672
54,696
55,672
56,695
57,672
58,694
59,672
60,693

61,672
62,692
63,671
64,691
65,671
66,690
67,671
68,689
69,670
70,689
71,670
72,688
73,670
74,687
75,669
76,686
77,669
78,685
79,668
80,684
81,667
82,683
83,667
84,682
85,666
86,681
87,666
88,680
89,665
90,679

91,665
92,678
93,664
94,677
95,663
96,676
97,663
98,675
99,662
100,674
101,661
102,673

max.
(aux.)
9,604
10,419
11,350
12,209
13,377
13,952
15,082
15,985
17,094
18,010
19,102
20,029
21,110
22,044
23,115

23,779
24,842
25,787
26,844
27,794
28,846
29,800
30,848
31,805
32,849
33,809
34,850
35,812
36,851
37,815
38,851
39,817
40,852
41,820
42,852
43,821
44,852
45,823
46,852
47,824
48,852
49,825
50,852
51,826
52,852

53,827
54,852
55,828
56,851
57,828
58,851
59,829
60,851
61,829
62,850
63,830
64,850
65,830
66,850
67,830
68,849
69,830
70,849
71,830
72,848
73,830
74,848
75,830
76,847
77,830
78,846
79,830
80,846
81,830
82,845

83,830
84,845
85,829
86,844
87,829
88,844
89,829
90,843
91,829
92,842
93,828
94,842
95,828
96,841
97,828
98,840
99,827
100,840
101,827
102,839

1,239
1,238
1,331
1,334
1,376
1,418
1,449
1,453
1,477

1,480
1,499
1,503
1,518
1,521
1,534
1,566
1,576
1,578
1,587
1,589
1,596
1,598
1,605
1,606
1,612
1,613
1,619
1,620
1,624
1,626
1,630
1,631
1,635
1,636
1,639
1,640
1,643
1,644
1,647

1,648
1,650
1,651
1,653
1,654
1,656
1,657
1,659
1,660
1,662
1,662
1,664
1,665
1,666
1,667
1,668
1,669
1,670
1,671
1,672
1,673
1,674
1,674
1,676
1,676
1,677
1,678
1,679
1,679
1,680

1,680
1,682
1,682
1,683
1,683
1,684
1,684
1,685
1,685
1,686
1,687
1,687
1,688
1,688
1,689
1,689
1,690
1,690
1,690
1,691
1,691
1,692
1,692
1,693
1,693
1,694

© ISO 2005 – All rights reserved
Not for Resale

--`,,```,,,,````-`-`,,`,,`,`,,`---

z


ISO 4156-2:2005(E)

5.4

30° pressure angle, module 1,25
Table 13 — Geometry internal spline, α = 30°, m = 1,25, flat and fillet root, Ev min = 1,963

6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23

24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53

54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83

84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100

D
7,50
8,75
10,00
11,25
12,50
13,75
15,00
16,25
17,50
18,75
20,00

21,25
22,50
23,75
25,00
26,25
27,50
28,75
30,00
31,25
32,50
33,75
35,00
36,25
37,50
38,75
40,00
41,25
42,50
43,75
45,00
46,25
47,50
48,75
50,00
51,25
52,50
53,75
55,00
56,25
57,50

58,75
60,00
61,25
62,50
63,75
65,00
66,25
67,50
68,75
70,00
71,25
72,50
73,75
75,00
76,25
77,50
78,75
80,00
81,25
82,50
83,75
85,00
86,25
87,50
88,75
90,00
91,25
92,50
93,75
95,00

96,25
97,50
98,75
100,00
101,25
102,50
103,75
105,00
106,25
107,50
108,75
110,00
111,25
112,50
113,75
115,00
116,25
117,50
118,75
120,00
121,25
122,50
123,75
125,00

Db
6,4952
7,5777
8,6603
9,7428

10,8253
11,9078
12,9904
14,0729
15,1554
16,2380
17,3205
18,4030
19,4856
20,5681
21,6506
22,7332
23,8157
24,8982
25,9808
27,0633
28,1458
29,2284
30,3109
31,3934
32,4760
33,5585
34,6410
35,7235
36,8061
37,8886
38,9711
40,0537
41,1362
42,2187

43,3013
44,3838
45,4663
46,5489
47,6314
48,7139
49,7965
50,8790
51,9615
53,0441
54,1266
55,2091
56,2917
57,3742
58,4567
59,5392
60,6218
61,7043
62,7868
63,8694
64,9519
66,0344
67,1170
68,1995
69,2820
70,3646
71,4471
72,5296
73,6122
74,6947

75,7772
76,8598
77,9423
79,0248
80,1073
81,1899
82,2724
83,3549
84,4375
85,5200
86,6025
87,6851
88,7676
89,8501
90,9327
92,0152
93,0977
94,1803
95,2628
96,3453
97,4279
98,5104
99,5929
100,6755
101,7580
102,8405
103,9230
105,0056
106,0881
107,1706

108,2532

Dei max
Fillet root

Dei max

DFi min

Dii min

9,97
11,22
12,47
13,73
14,98
16,23
17,48
18,74
19,99
21,24
22,49
23,74
25,00
26,25
27,50
28,75
30,00
31,25
32,51

33,76
35,01
36,26
37,51
38,76
40,01
41,26
42,52
43,77
45,02
46,27
47,52
48,77
50,02
51,27
52,53
53,78
55,03
56,28
57,53
58,78
60,03
61,28
62,53
63,78
65,03
66,29
67,54
68,79
70,04

71,29
72,54
73,79
75,04
76,29
77,54
78,79
80,04
81,30
82,55
83,80
85,05
86,30
87,55
88,80
90,05
91,30
92,55
93,80
95,05
96,30
97,56
98,81
100,06
101,31
102,56
103,81
105,06
106,31
107,56

108,81
110,06
111,31
112,56
113,81
115,06
116,32
117,57
118,82
120,07
121,32
122,57
123,82
125,07
126,32
127,57

9,59
10,85
12,10
13,35
14,60
15,86
17,11
18,36
19,61
20,87
22,12
23,37
24,62

25,87
27,12
28,38
29,63
30,88
32,13
33,38
34,63
35,88
37,14
38,39
39,64
40,89
42,14
43,39
44,64
45,89
47,15
48,40
49,65
50,90
52,15
53,40
54,65
55,90
57,15
58,41
59,66
60,91
62,16

63,41
64,66
65,91
67,16
68,41
69,66
70,91
72,17
73,42
74,67
75,92
77,17
78,42
79,67
80,92
82,17
83,42
84,67
85,92
87,17
88,43
89,68
90,93
92,18
93,43
94,68
95,93
97,18
98,43
99,68

100,93
102,18
103,43
104,68
105,94
107,19
108,44
109,69
110,94
112,19
113,44
114,69
115,94
117,19
118,44
119,69
120,94
122,19
123,44
124,70
125,95
127,20

9,00
10,25
11,50
12,75
14,00
15,25
16,50

17,75
19,00
20,25
21,50
22,75
24,00
25,25
26,50
27,75
29,00
30,25
31,50
32,75
34,00
35,25
36,50
37,75
39,00
40,25
41,50
42,75
44,00
45,25
46,50
47,75
49,00
50,25
51,50
52,75
54,00

55,25
56,50
57,75
59,00
60,25
61,50
62,75
64,00
65,25
66,50
67,75
69,00
70,25
71,50
72,75
74,00
75,25
76,50
77,75
79,00
80,25
81,50
82,75
84,00
85,25
86,50
87,75
89,00
90,25
91,50

92,75
94,00
95,25
96,50
97,75
99,00
100,25
101,50
102,75
104,00
105,25
106,50
107,75
109,00
110,25
111,50
112,75
114,00
115,25
116,50
117,75
119,00
120,25
121,50
122,75
124,00
125,25
126,50

6,79

7,95
9,14
10,34
11,55
12,77
14,00
15,23
16,46
17,69
18,93
20,17
21,41
22,65
23,89
25,14
26,38
27,62
28,87
30,11
31,36
32,60
33,85
35,10
36,34
37,59
38,84
40,08
41,33
42,58
43,83

45,08
46,32
47,57
48,82
50,07
51,32
52,56
53,81
55,06
56,31
57,56
58,81
60,06
61,31
62,55
63,80
65,05
66,30
67,55
68,80
70,05
71,30
72,55
73,80
75,05
76,29
77,54
78,79
80,04
81,29

82,54
83,79
85,04
86,29
87,54
88,79
90,04
91,29
92,54
93,79
95,04
96,29
97,53
98,78
100,03
101,28
102,53
103,78
105,03
106,28
107,53
108,78
110,03
111,28
112,53
113,78
115,03
116,28
117,53
118,78

120,03
121,28
122,53
123,78

Flat

4H

5H

6H

7H

1,994
1,995
1,995
1,996
1,996
1,997
1,997
1,997
1,997
1,998
1,998
1,998
1,999
1,999
1,999

1,999
1,999
2,000
2,000
2,000
2,000
2,000
2,001
2,001
2,001
2,001
2,001
2,002
2,002
2,002
2,002
2,002
2,002
2,003
2,003
2,003
2,003
2,003
2,003
2,003
2,004
2,004
2,004
2,004
2,004

2,004
2,004
2,004
2,005
2,005
2,005
2,005
2,005
2,005
2,005
2,005
2,006
2,006
2,006
2,006
2,006
2,006
2,006
2,006
2,006
2,007
2,007
2,007
2,007
2,007
2,007
2,007
2,007
2,007
2,008

2,008
2,008
2,008
2,008
2,008
2,008
2,008
2,008
2,008
2,008
2,009
2,009
2,009
2,009
2,009
2,009
2,009
2,009
2,009
2,009

2,013
2,014
2,015
2,015
2,016
2,017
2,017
2,018
2,018

2,019
2,019
2,019
2,020
2,020
2,021
2,021
2,021
2,022
2,022
2,022
2,023
2,023
2,023
2,024
2,024
2,024
2,024
2,025
2,025
2,025
2,026
2,026
2,026
2,026
2,027
2,027
2,027
2,027
2,027

2,028
2,028
2,028
2,028
2,029
2,029
2,029
2,029
2,029
2,030
2,030
2,030
2,030
2,030
2,031
2,031
2,031
2,031
2,031
2,031
2,032
2,032
2,032
2,032
2,032
2,033
2,033
2,033
2,033
2,033

2,033
2,034
2,034
2,034
2,034
2,034
2,034
2,035
2,035
2,035
2,035
2,035
2,035
2,035
2,036
2,036
2,036
2,036
2,036
2,036
2,036
2,037
2,037
2,037
2,037
2,037

2,042
2,043
2,044

2,045
2,046
2,047
2,048
2,048
2,049
2,050
2,051
2,051
2,052
2,052
2,053
2,054
2,054
2,055
2,055
2,056
2,056
2,057
2,057
2,058
2,058
2,059
2,059
2,059
2,060
2,060
2,061
2,061
2,061

2,062
2,062
2,063
2,063
2,063
2,064
2,064
2,064
2,065
2,065
2,065
2,066
2,066
2,066
2,067
2,067
2,067
2,068
2,068
2,068
2,069
2,069
2,069
2,069
2,070
2,070
2,070
2,071
2,071
2,071

2,071
2,072
2,072
2,072
2,072
2,073
2,073
2,073
2,074
2,074
2,074
2,074
2,075
2,075
2,075
2,075
2,075
2,076
2,076
2,076
2,076
2,077
2,077
2,077
2,077
2,078
2,078
2,078
2,078
2,078

2,079
2,079

2,089
2,091
2,093
2,094
2,096
2,097
2,098
2,100
2,101
2,102
2,103
2,104
2,105
2,106
2,107
2,108
2,109
2,110
2,111
2,111
2,112
2,113
2,114
2,114
2,115
2,116
2,117

2,117
2,118
2,119
2,119
2,120
2,121
2,121
2,122
2,122
2,123
2,124
2,124
2,125
2,125
2,126
2,126
2,127
2,127
2,128
2,128
2,129
2,129
2,130
2,130
2,131
2,131
2,132
2,132
2,133
2,133

2,134
2,134
2,135
2,135
2,136
2,136
2,136
2,137
2,137
2,138
2,138
2,139
2,139
2,139
2,140
2,140
2,141
2,141
2,141
2,142
2,142
2,143
2,143
2,143
2,144
2,144
2,144
2,145
2,145
2,146

2,146
2,146
2,147
2,147
2,147
2,148
2,148
2,148

15

© ISO 2005 – All rights reserved

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Emax

--`,,```,,,,````-`-`,,`,,`,`,,`---

z

Not for Resale


ISO 4156-2:2005(E)

Table 14 — Geometry external spline, α = 30°, m = 1,25, flat and fillet root, Sv max = 1,963

6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35

36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65

66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95

96
97
98
99
100

D
7,50
8,75
10,00
11,25
12,50
13,75
15,00
16,25
17,50
18,75
20,00
21,25
22,50
23,75
25,00
26,25
27,50
28,75
30,00
31,25
32,50
33,75
35,00

36,25
37,50
38,75
40,00
41,25
42,50
43,75
45,00
46,25
47,50
48,75
50,00
51,25
52,50
53,75
55,00
56,25
57,50
58,75
60,00
61,25
62,50
63,75
65,00
66,25
67,50
68,75
70,00
71,25
72,50

73,75
75,00
76,25
77,50
78,75
80,00
81,25
82,50
83,75
85,00
86,25
87,50
88,75
90,00
91,25
92,50
93,75
95,00
96,25
97,50
98,75
100,00
101,25
102,50
103,75
105,00
106,25
107,50
108,75
110,00

111,25
112,50
113,75
115,00
116,25
117,50
118,75
120,00
121,25
122,50
123,75
125,00

Db
6,4952
7,5777
8,6603
9,7428
10,8253
11,9078
12,9904
14,0729
15,1554
16,2380
17,3205
18,4030
19,4856
20,5681
21,6506
22,7332

23,8157
24,8982
25,9808
27,0633
28,1458
29,2284
30,3109
31,3934
32,4760
33,5585
34,6410
35,7235
36,8061
37,8886
38,9711
40,0537
41,1362
42,2187
43,3013
44,3838
45,4663
46,5489
47,6314
48,7139
49,7965
50,8790
51,9615
53,0441
54,1266
55,2091

56,2917
57,3742
58,4567
59,5392
60,6218
61,7043
62,7868
63,8694
64,9519
66,0344
67,1170
68,1995
69,2820
70,3646
71,4471
72,5296
73,6122
74,6947
75,7772
76,8598
77,9423
79,0248
80,1073
81,1899
82,2724
83,3549
84,4375
85,5200
86,6025
87,6851

88,7676
89,8501
90,9327
92,0152
93,0977
94,1803
95,2628
96,3453
97,4279
98,5104
99,5929
100,6755
101,7580
102,8405
103,9230
105,0056
106,0881
107,1706
108,2532

Dee max
8,75
10,00
11,25
12,50
13,75
15,00
16,25
17,50
18,75

20,00
21,25
22,50
23,75
25,00
26,25
27,50
28,75
30,00
31,25
32,50
33,75
35,00
36,25
37,50
38,75
40,00
41,25
42,50
43,75
45,00
46,25
47,50
48,75
50,00
51,25
52,50
53,75
55,00
56,25

57,50
58,75
60,00
61,25
62,50
63,75
65,00
66,25
67,50
68,75
70,00
71,25
72,50
73,75
75,00
76,25
77,50
78,75
80,00
81,25
82,50
83,75
85,00
86,25
87,50
88,75
90,00
91,25
92,50
93,75

95,00
96,25
97,50
98,75
100,00
101,25
102,50
103,75
105,00
106,25
107,50
108,75
110,00
111,25
112,50
113,75
115,00
116,25
117,50
118,75
120,00
121,25
122,50
123,75
125,00
126,25

DFe max
6,54
7,70

8,89
10,09
11,30
12,52
13,75
14,98
16,21
17,44
18,68
19,92
21,16
22,40
23,64
24,89
26,13
27,37
28,62
29,86
31,11
32,35
33,60
34,85
36,09
37,34
38,59
39,83
41,08
42,33
43,58
44,83

46,07
47,32
48,57
49,82
51,07
52,31
53,56
54,81
56,06
57,31
58,56
59,81
61,06
62,30
63,55
64,80
66,05
67,30
68,55
69,80
71,05
72,30
73,55
74,80
76,04
77,29
78,54
79,79
81,04
82,29

83,54
84,79
86,04
87,29
88,54
89,79
91,04
92,29
93,54
94,79
96,04
97,28
98,53
99,78
101,03
102,28
103,53
104,78
106,03
107,28
108,53
109,78
111,03
112,28
113,53
114,78
116,03
117,28
118,53
119,78

121,03
122,28
123,53

Die min
Fillet root
5,03
6,28
7,53
8,77
10,02
11,27
12,52
13,76
15,01
16,26
17,51
18,76
20,00
21,25
22,50
23,75
25,00
26,25
27,49
28,74
29,99
31,24
32,49
33,74

34,99
36,24
37,48
38,73
39,98
41,23
42,48
43,73
44,98
46,23
47,47
48,72
49,97
51,22
52,47
53,72
54,97
56,22
57,47
58,72
59,97
61,21
62,46
63,71
64,96
66,21
67,46
68,71
69,96
71,21

72,46
73,71
74,96
76,20
77,45
78,70
79,95
81,20
82,45
83,70
84,95
86,20
87,45
88,70
89,95
91,20
92,44
93,69
94,94
96,19
97,44
98,69
99,94
101,19
102,44
103,69
104,94
106,19
107,44
108,69

109,94
111,18
112,43
113,68
114,93
116,18
117,43
118,68
119,93
121,18
122,43

Die min
Flat
5,41
6,65
7,90
9,15
10,40
11,64
12,89
14,14
15,39
16,63
17,88
19,13
20,38
21,63
22,88
24,12

25,37
26,62
27,87
29,12
30,37
31,62
32,86
34,11
35,36
36,61
37,86
39,11
40,36
41,61
42,85
44,10
45,35
46,60
47,85
49,10
50,35
51,60
52,85
54,09
55,34
56,59
57,84
59,09
60,34
61,59

62,84
64,09
65,34
66,59
67,83
69,08
70,33
71,58
72,83
74,08
75,33
76,58
77,83
79,08
80,33
81,58
82,83
84,07
85,32
86,57
87,82
89,07
90,32
91,57
92,82
94,07
95,32
96,57
97,82
99,07

100,32
101,56
102,81
104,06
105,31
106,56
107,81
109,06
110,31
111,56
112,81
114,06
115,31
116,56
117,81
119,06
120,30
121,55
122,80

16

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Smin
4h

5h

6h

7h

1,932
1,931
1,931
1,930
1,930
1,929
1,929
1,929
1,929
1,928
1,928
1,928
1,927
1,927
1,927
1,927
1,927
1,926
1,926
1,926
1,926
1,926
1,925
1,925
1,925

1,925
1,925
1,924
1,924
1,924
1,924
1,924
1,924
1,923
1,923
1,923
1,923
1,923
1,923
1,923
1,922
1,922
1,922
1,922
1,922
1,922
1,922
1,922
1,921
1,921
1,921
1,921
1,921
1,921
1,921

1,921
1,920
1,920
1,920
1,920
1,920
1,920
1,920
1,920
1,920
1,919
1,919
1,919
1,919
1,919
1,919
1,919
1,919
1,919
1,918
1,918
1,918
1,918
1,918
1,918
1,918
1,918
1,918
1,918
1,918

1,917
1,917
1,917
1,917
1,917
1,917
1,917
1,917
1,917
1,917

1,913
1,912
1,911
1,911
1,910
1,909
1,909
1,908
1,908
1,907
1,907
1,907
1,906
1,906
1,905
1,905
1,905
1,904
1,904

1,904
1,903
1,903
1,903
1,902
1,902
1,902
1,902
1,901
1,901
1,901
1,900
1,900
1,900
1,900
1,899
1,899
1,899
1,899
1,899
1,898
1,898
1,898
1,898
1,897
1,897
1,897
1,897
1,897
1,896

1,896
1,896
1,896
1,896
1,895
1,895
1,895
1,895
1,895
1,895
1,894
1,894
1,894
1,894
1,894
1,893
1,893
1,893
1,893
1,893
1,893
1,892
1,892
1,892
1,892
1,892
1,892
1,891
1,891
1,891

1,891
1,891
1,891
1,891
1,890
1,890
1,890
1,890
1,890
1,890
1,890
1,889
1,889
1,889
1,889
1,889

1,884
1,883
1,882
1,881
1,880
1,879
1,878
1,878
1,877
1,876
1,875
1,875
1,874

1,874
1,873
1,872
1,872
1,871
1,871
1,870
1,870
1,869
1,869
1,868
1,868
1,867
1,867
1,867
1,866
1,866
1,865
1,865
1,865
1,864
1,864
1,863
1,863
1,863
1,862
1,862
1,862
1,861
1,861

1,861
1,860
1,860
1,860
1,859
1,859
1,859
1,858
1,858
1,858
1,857
1,857
1,857
1,857
1,856
1,856
1,856
1,855
1,855
1,855
1,855
1,854
1,854
1,854
1,854
1,853
1,853
1,853
1,852
1,852

1,852
1,852
1,851
1,851
1,851
1,851
1,851
1,850
1,850
1,850
1,850
1,849
1,849
1,849
1,849
1,848
1,848
1,848
1,848
1,848
1,847
1,847

1,837
1,835
1,833
1,832
1,830
1,829
1,828

1,826
1,825
1,824
1,823
1,822
1,821
1,820
1,819
1,818
1,817
1,816
1,815
1,815
1,814
1,813
1,812
1,812
1,811
1,810
1,809
1,809
1,808
1,807
1,807
1,806
1,805
1,805
1,804
1,804
1,803

1,802
1,802
1,801
1,801
1,800
1,800
1,799
1,799
1,798
1,798
1,797
1,797
1,796
1,796
1,795
1,795
1,794
1,794
1,793
1,793
1,792
1,792
1,791
1,791
1,790
1,790
1,790
1,789
1,789
1,788

1,788
1,787
1,787
1,787
1,786
1,786
1,785
1,785
1,785
1,784
1,784
1,783
1,783
1,783
1,782
1,782
1,782
1,781
1,781
1,780
1,780
1,780
1,779
1,779
1,779
1,778
1,778
1,778

© ISO 2005 – All rights reserved

Not for Resale

--`,,```,,,,````-`-`,,`,,`,`,,`---

z


ISO 4156-2:2005(E)

Table 15 — Inspection dimensions internal spline, α = 30°, m = 1,25, flat or fillet root, Ev min = 1,963
z

DRi

Measurement over balls or pins, MRi (checking of dimensions Emin and Emax) for tolerance classes
4H
min.
(aux.)

6
7
8
9
10
11
12
13
14
15
16

17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46

47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76

77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100

—
—
2,12
2,12
2,12

2,12
2,12
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24

2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24
2,24

2,24
2,24
2,24
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36

—
—
6,860
8,002
9,436
10,575
11,970
12,682
14,061
15,231
16,589
17,764
19,108
20,289
21,622
22,808
24,133
25,323
26,642
27,836
29,149
30,347
31,655
32,856
34,160
35,364
36,664
37,871
39,168

40,377
41,672
42,883
44,175
45,388
46,678
47,892
49,180
50,396
51,683
52,900
54,185
55,403
56,687
57,907
59,189
60,410
61,690
62,912
64,192
65,415
66,693
67,917
69,195
70,420
71,696
72,922
74,197
75,424
76,699

77,926
79,200
80,428
81,701
82,929
84,202
85,431
86,703
87,933
88,834
90,064
91,335
92,566
93,837
95,068
96,338
97,569
98,839
100,071
101,340
102,572
103,841
105,074
106,342
107,575
108,843
110,077
111,344
112,578
113,845

115,079
116,345
117,580
118,846
120,081
121,347

5H
max.
—
—
6,922
8,054
9,485
10,621
12,014
12,731
14,108
15,276
16,634
17,807
19,151
20,331
21,664
22,849
24,174
25,364
26,682
27,876
29,189

30,386
31,694
32,895
34,199
35,403
36,703
37,909
39,207
40,415
41,710
42,921
44,213
45,425
46,715
47,930
49,218
50,434
51,720
52,937
54,222
55,441
56,724
57,944
59,225
60,447
61,727
62,949
64,229
65,452
66,730

67,954
69,231
70,456
71,733
72,958
74,234
75,460
76,735
77,962
79,236
80,464
81,737
82,965
84,238
85,467
86,739
87,968
88,870
90,100
91,371
92,602
93,872
95,103
96,373
97,605
98,874
100,106
101,375
102,608
103,876

105,109
106,377
107,610
108,878
110,112
111,379
112,613
113,880
115,114
116,380
117,615
118,881
120,116
121,382

min.
(aux.)
—
—
6,879
8,018
9,451
10,589
11,984
12,698
14,077
15,246
16,604
17,779
19,123

20,303
21,637
22,822
24,148
25,338
26,656
27,851
29,164
30,362
31,670
32,871
34,175
35,379
36,680
37,886
39,184
40,393
41,687
42,898
44,191
45,403
46,694
47,908
49,196
50,412
51,699
52,916
54,201
55,420
56,703

57,923
59,205
60,426
61,707
62,929
64,209
65,432
66,711
67,935
69,212
70,437
71,714
72,940
74,215
75,442
76,717
77,944
79,218
80,446
81,719
82,948
84,220
85,450
86,722
87,951
88,853
90,083
91,354
92,585
93,856

95,087
96,357
97,589
98,858
100,091
101,359
102,592
103,861
105,094
106,362
107,595
108,863
110,097
111,364
112,598
113,865
115,099
116,366
117,601
118,867
120,102
121,368

6H
max.
—
—
6,978
8,103
9,532

10,665
12,058
12,779
14,156
15,322
16,679
17,852
19,196
20,375
21,708
22,893
24,218
25,407
26,726
27,919
29,232
30,430
31,738
32,938
34,242
35,446
36,747
37,953
39,250
40,459
41,754
42,965
44,257
45,470
46,760

47,974
49,262
50,478
51,764
52,982
54,267
55,485
56,769
57,989
59,271
60,492
61,772
62,994
64,274
65,497
66,776
68,000
69,277
70,502
71,778
73,004
74,280
75,506
76,781
78,008
79,282
80,510
81,784
83,012
84,285

85,514
86,786
88,015
88,918
90,148
91,419
92,650
93,920
95,151
96,421
97,653
98,923
100,155
101,424
102,656
103,925
105,158
106,426
107,659
108,927
110,161
111,428
112,662
113,929
115,163
116,430
117,664
118,931
120,166
121,431

min.
(aux.)
—
—
6,906
8,041
9,473
10,610
12,004
12,720
14,099
15,267
16,625
17,799
19,144
20,324
21,658
22,843
24,169
25,359
26,677
27,872
29,185
30,383
31,691
32,892
34,196
35,400
36,701

37,908
39,205
40,414
41,709
42,920
44,213
45,426
46,716
47,931
49,219
50,435
51,722
52,939
54,224
55,443
56,727
57,947
59,229
60,450
61,731
62,953
64,233
65,456
66,735
67,959
69,237
70,462
71,739
72,964
74,240

75,467
76,742
77,969
79,243
80,471
81,745
82,974
84,246
85,476
86,748
87,978
88,880
90,110
91,381
92,612
93,883
95,114
96,384
97,616
98,886
100,118
101,387
102,620
103,888
105,122
106,390
107,623
108,891
110,125
111,392

112,627
113,894
115,128
116,395
117,630
118,896
120,131
121,397

Ki

7H
max.
—
—
7,058
8,174
9,601
10,731
12,124
12,850
14,225
15,390
16,746
17,918
19,262
20,440
21,773
22,958
24,283

25,472
26,790
27,984
29,297
30,494
31,802
33,003
34,307
35,511
36,812
38,018
39,316
40,524
41,819
43,030
44,323
45,535
46,826
48,040
49,328
50,544
51,831
53,048
54,333
55,552
56,836
58,056
59,338
60,559
61,840

63,062
64,342
65,565
66,844
68,068
69,345
70,570
71,847
73,073
74,349
75,575
76,850
78,078
79,352
80,580
81,853
83,082
84,355
85,584
86,856
88,086
88,989
90,219
91,490
92,721
93,992
95,223
96,493
97,725
98,995

100,227
101,496
102,729
103,998
105,231
106,499
107,732
109,000
110,234
111,501
112,735
114,002
115,237
116,504
117,738
119,005
120,240
121,506

min.
(aux.)
—
—
6,948
8,077
9,507
10,643
12,037
12,756
14,133

15,301
16,659
17,833
19,177
20,357
21,690
22,876
24,201
25,391
26,710
27,905
29,218
30,416
31,724
32,926
34,230
35,434
36,735
37,942
39,240
40,449
41,744
42,955
44,248
45,461
46,751
47,966
49,254
50,471
51,757

52,975
54,260
55,479
56,763
57,983
59,266
60,487
61,768
62,991
64,270
65,494
66,773
67,997
69,275
70,500
71,777
73,003
74,279
75,506
76,781
78,008
79,283
80,511
81,785
83,013
84,286
85,516
86,788
88,018
88,920

90,151
91,422
92,654
93,924
95,156
96,426
97,658
98,928
100,160
101,430
102,662
103,931
105,165
106,433
107,667
108,934
110,168
111,436
112,670
113,938
115,172
116,439
117,674
118,941
120,176
121,442

max.
—
—

7,179
8,286
9,710
10,837
12,229
12,964
14,338
15,500
16,856
18,026
19,370
20,547
21,880
23,064
24,389
25,578
26,897
28,090
29,404
30,601
31,909
33,110
34,415
35,618
36,919
38,126
39,424
40,632
41,928
43,139

44,431
45,644
46,935
48,149
49,438
50,654
51,941
53,159
54,444
55,663
56,947
58,167
59,449
60,671
61,952
63,174
64,454
65,678
66,957
68,181
69,459
70,684
71,961
73,187
74,463
75,690
76,965
78,193
79,467
80,696

81,969
83,198
84,471
85,701
86,973
88,203
89,107
90,338
91,609
92,840
94,111
95,343
96,613
97,845
99,115
100,347
101,617
102,850
104,118
105,352
106,620
107,854
109,122
110,356
111,623
112,858
114,125
115,360
116,627
117,862

119,128
120,363
121,630

—
—
2,378
2,203
2,147
2,064
2,039
2,178
2,137
2,081
2,057
2,019
2,003
1,976
1,965
1,944
1,936
1,919
1,913
1,900
1,895
1,884
1,880
1,871
1,868
1,860

1,857
1,850
1,848
1,842
1,840
1,835
1,833
1,829
1,827
1,823
1,822
1,818
1,817
1,814
1,813
1,810
1,809
1,806
1,805
1,803
1,802
1,800
1,799
1,797
1,796
1,794
1,794
1,792
1,791
1,789

1,789
1,787
1,787
1,785
1,785
1,784
1,783
1,782
1,782
1,780
1,780
1,779
1,794
1,793
1,792
1,791
1,791
1,789
1,789
1,788
1,787
1,786
1,786
1,785
1,784
1,783
1,783
1,782
1,782
1,781

1,781
1,780
1,779
1,779
1,778
1,778
1,777
1,776
1,776

--`,,```,,,,````-`-`,,`,,`,`,,`---

17

© ISO 2005 – All rights reserved

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

Not for Resale


ISO 4156-2:2005(E)

Table 16 — Inspection dimensions external spline, α = 30°, m = 1,25, flat or fillet root, Sv max = 1,963
z

DRe

Measurement over balls or pins, MRe (checking of dimensions Smin and Smax) for tolerance classes
4h
min.

6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31

32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61

62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91

92
93
94
95
96
97
98
99
100

2,80
2,80
2,65
2,65
2,65
2,50
2,50
2,50
2,50
2,50
2,50
2,50
2,50
2,50
2,50
2,50
2,50
2,50
2,36
2,36

2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36

2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36

2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36
2,36

12,024
13,043
14,210
15,284
16,745
17,465
18,879
20,009
21,395
22,541
23,908
25,066
26,418
27,587

28,927
30,103
31,434
32,617
33,550
34,737
36,053
37,246
38,556
39,753
41,059
42,259
43,561
44,764
46,064
47,269
48,565
49,774
51,067
52,277
53,569
54,781
56,070
57,284
58,571
59,787
61,072
62,289
63,573
64,791

66,074
67,293
68,575
69,795
71,075
72,297
73,576
74,799
76,077
77,300
78,577
79,802
81,078
82,303
83,578
84,804
86,078
87,305
88,579
89,806
91,079
92,307
93,579
94,808
96,080
97,309
98,580
99,810
101,080
102,310

103,580
104,811
106,080
107,312
108,581
109,812
111,081
112,313
113,581
114,813
116,081
117,314
118,581
119,814
121,081
122,315
123,581
124,815
126,081
127,316
128,581

max.
(aux.)
12,048
13,067
14,236
15,310
16,772
17,493

18,907
20,037
21,424
22,570
23,937
25,096
26,448
27,617
28,957
30,134
31,465
32,648
33,581
34,769
36,085
37,278
38,589
39,785
41,092
42,291
43,594
44,797
46,096
47,302
48,598
49,806
51,100
52,310
53,601
54,814

56,103
57,317
58,604
59,820
61,105
62,322
63,606
64,824
66,107
67,327
68,608
69,829
71,109
72,330
73,609
74,832
76,110
77,333
78,610
79,835
81,111
82,336
83,611
84,837
86,112
87,338
88,612
89,839
91,112
92,340

93,612
94,841
96,113
97,342
98,613
99,843
101,113
102,343
103,613
104,844
106,113
107,345
108,613
109,845
111,114
112,346
113,614
114,846
116,114
117,347
118,614
119,847
121,114
122,347
123,614
124,848
126,114
127,348
128,614

5h
min.
12,001
13,020
14,184
15,258
16,718
17,437
18,850
19,979
21,365
22,511
23,876
25,035
26,386
27,554
28,894
30,070
31,401
32,583
33,515
34,702
36,018
37,210
38,520
39,717
41,023
42,222
43,525
44,727

46,026
47,232
48,528
49,736
51,029
52,239
53,530
54,742
56,031
57,245
58,532
59,747
61,032
62,249
63,533
64,751
66,033
67,253
68,534
69,754
71,034
72,256
73,534
74,757
76,035
77,258
78,535
79,759
81,035
82,260

83,535
84,761
86,035
87,262
88,536
89,763
91,036
92,264
93,536
94,764
96,036
97,265
98,536
99,765
101,036
102,266
103,536
104,766
106,035
107,267
108,535
109,767
111,035
112,267
113,535
114,768
116,035
117,268
118,535
119,768

121,035
122,268
123,535
124,769
126,035
127,269
128,534

max.
(aux.)
12,041
13,060
14,228
15,302
16,764
17,484
18,898
20,028
21,414
22,561
23,927
25,086
26,438
27,606
28,947
30,123
31,454
32,637
33,570
34,758

36,073
37,266
38,576
39,773
41,079
42,279
43,581
44,784
46,083
47,289
48,585
49,793
51,086
52,296
53,588
54,800
56,089
57,303
58,590
59,805
61,091
62,308
63,591
64,810
66,092
67,311
68,593
69,813
71,093
72,315

73,594
74,816
76,094
77,317
78,594
79,819
81,094
82,320
83,595
84,821
86,095
87,322
88,595
89,822
91,095
92,323
93,595
94,824
96,095
97,324
98,595
99,825
101,095
102,326
103,595
104,826
106,095
107,326
108,595
109,827

111,095
112,327
113,595
114,827
116,095
117,328
118,595
119,828
121,095
122,328
123,595
124,828
126,094
127,329
128,594

6h
min.
11,967
12,984
14,146
15,219
16,678
17,395
18,806
19,935
21,319
22,465
23,830
24,988

26,338
27,506
28,845
30,021
31,350
32,533
33,463
34,650
35,965
37,157
38,467
39,662
40,968
42,167
43,469
44,672
45,970
47,175
48,471
49,678
50,971
52,181
53,472
54,683
55,972
57,186
58,472
59,687
60,972
62,189

63,472
64,690
65,972
67,192
68,472
69,693
70,972
72,194
73,472
74,695
75,972
77,195
78,472
79,696
80,972
82,197
83,471
84,697
85,971
87,197
88,471
89,698
90,970
92,198
93,470
94,698
95,970
97,199
98,469
99,699

100,969
102,199
103,468
104,699
105,968
107,199
108,468
109,699
110,967
112,199
113,467
114,699
115,966
117,199
118,466
119,699
120,965
122,199
123,465
124,699
125,964
127,198
128,464

max.
(aux.)
12,031
13,050
14,217
15,290

16,752
17,472
18,885
20,015
21,401
22,547
23,913
25,072
26,423
27,591
28,931
30,108
31,438
32,621
33,553
34,741
36,056
37,249
38,559
39,755
41,061
42,261
43,563
44,766
46,065
47,270
48,566
49,774
51,067
52,277

53,568
54,780
56,069
57,283
58,570
59,785
61,070
62,287
63,571
64,789
66,071
67,290
68,571
69,792
71,071
72,293
73,571
74,794
76,072
77,295
78,572
79,796
81,072
82,297
83,572
84,797
86,071
87,298
88,571
89,799

91,071
92,299
93,571
94,800
96,071
97,300
98,571
99,800
101,070
102,300
103,570
104,801
106,070
107,301
108,570
109,801
111,069
112,301
113,569
114,801
116,069
117,301
118,568
119,801
121,068
122,301
123,568
124,801
126,067
127,301

128,567

7h
min.
11,908
12,925
14,082
15,154
16,610
17,324
18,733
19,861
21,244
22,388
23,752
24,909
26,258
27,425
28,762
29,937
31,266
32,448
33,375
34,562
35,876
37,067
38,376
39,572
40,876
42,075

43,376
44,578
45,876
47,081
48,375
49,583
50,875
52,084
53,374
54,586
55,874
57,087
58,373
59,588
60,872
62,088
63,371
64,589
65,871
67,089
68,370
69,590
70,869
72,090
73,368
74,590
75,867
77,090
78,366
79,590

80,865
82,090
83,364
84,590
85,863
87,089
88,362
89,589
90,861
92,089
93,360
94,588
95,859
97,088
98,358
99,587
100,857
102,087
103,356
104,586
105,855
107,086
108,354
109,585
110,853
112,085
113,352
114,584
115,851
117,084

118,350
119,583
120,849
122,082
123,348
124,582
125,847
127,081
128,346

Ke

max.
(aux.)
12,015
13,033
14,198
15,272
16,732
17,451
18,864
19,993
21,379
22,525
23,890
25,049
26,400
27,568
28,907
30,083

31,413
32,596
33,527
34,714
36,030
37,222
38,532
39,728
41,033
42,233
43,535
44,737
46,036
47,241
48,536
49,744
51,037
52,247
53,537
54,749
56,038
57,251
58,538
59,753
61,038
62,254
63,538
64,756
66,038
67,257

68,538
69,758
71,037
72,259
73,537
74,759
76,037
77,260
78,536
79,761
81,036
82,261
83,536
84,761
86,035
87,262
88,535
89,762
91,034
92,262
93,534
94,762
96,033
97,262
98,532
99,762
101,032
102,262
103,531
104,762

106,031
107,261
108,530
109,761
111,029
112,261
113,529
114,761
116,028
117,260
118,527
119,760
121,027
122,260
123,526
124,759
126,025
127,259
128,524

1,235
1,235
1,327
1,330
1,372
1,413
1,444
1,448
1,472
1,476

1,495
1,498
1,514
1,517
1,530
1,533
1,544
1,547
1,586
1,587
1,595
1,597
1,603
1,605
1,611
1,612
1,617
1,619
1,623
1,624
1,629
1,630
1,634
1,635
1,638
1,639
1,642
1,643
1,646
1,647

1,649
1,650
1,652
1,653
1,655
1,656
1,658
1,659
1,661
1,661
1,663
1,664
1,665
1,666
1,668
1,668
1,670
1,670
1,671
1,672
1,673
1,674
1,675
1,675
1,676
1,677
1,678
1,678
1,679
1,680

1,681
1,681
1,682
1,682
1,683
1,683
1,684
1,685
1,685
1,686
1,687
1,687
1,688
1,688
1,689
1,689
1,689
1,690
1,690
1,691
1,691
1,691
1,692
1,692
1,693

--`,,```,,,,````-`-`,,`,,`,`,,`---

18

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

© ISO 2005 – All rights reserved
Not for Resale


ISO 4156-2:2005(E)

5.5

30° pressure angle, module 1,5
Table 17 — Geometry internal spline, α = 30°, m = 1,5, flat and fillet root, Ev min = 2,356
z

--`,,```,,,,````-`-`,,`,,`,`,,`---

6
7
8
9
10
11
12
13
14
15
16
17

18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47

48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77

78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100

D
9,00
10,50
12,00
13,50
15,00

16,50
18,00
19,50
21,00
22,50
24,00
25,50
27,00
28,50
30,00
31,50
33,00
34,50
36,00
37,50
39,00
40,50
42,00
43,50
45,00
46,50
48,00
49,50
51,00
52,50
54,00
55,50
57,00
58,50
60,00

61,50
63,00
64,50
66,00
67,50
69,00
70,50
72,00
73,50
75,00
76,50
78,00
79,50
81,00
82,50
84,00
85,50
87,00
88,50
90,00
91,50
93,00
94,50
96,00
97,50
99,00
100,50
102,00
103,50
105,00

106,50
108,00
109,50
111,00
112,50
114,00
115,50
117,00
118,50
120,00
121,50
123,00
124,50
126,00
127,50
129,00
130,50
132,00
133,50
135,00
136,50
138,00
139,50
141,00
142,50
144,00
145,50
147,00
148,50
150,00

Db
7,7942
9,0933
10,3923
11,6913
12,9904
14,2894
15,5885
16,8875
18,1865
19,4856
20,7846
22,0836
23,3827
24,6817
25,9808
27,2798
28,5788
29,8779
31,1769
32,4760
33,7750
35,0740
36,3731
37,6721
38,9711
40,2702
41,5692
42,8683

44,1673
45,4663
46,7654
48,0644
49,3634
50,6625
51,9615
53,2606
54,5596
55,8586
57,1577
58,4567
59,7558
61,0548
62,3538
63,6529
64,9519
66,2509
67,5500
68,8490
70,1481
71,4471
72,7461
74,0452
75,3442
76,6432
77,9423
79,2413
80,5404
81,8394

83,1384
84,4375
85,7365
87,0356
88,3346
89,6336
90,9327
92,2317
93,5307
94,8298
96,1288
97,4279
98,7269
100,0259
101,3250
102,6240
103,9230
105,2221
106,5211
107,8202
109,1192
110,4182
111,7173
113,0163
114,3154
115,6144
116,9134
118,2125
119,5115
120,8105

122,1096
123,4086
124,7077
126,0067
127,3057
128,6048
129,9038

Dei max
Fillet root

Dei max

DFi min

Dii min

11,93
13,44
14,94
16,44
17,94
19,45
20,95
22,45
23,95
25,46
26,96
28,46
29,96

31,46
32,97
34,47
35,97
37,47
38,97
40,47
41,98
43,48
44,98
46,48
47,98
49,48
50,98
52,48
53,99
55,49
56,99
58,49
59,99
61,49
62,99
64,49
66,00
67,50
69,00
70,50
72,00
73,50
75,00

76,50
78,00
79,50
81,01
82,51
84,01
85,51
87,01
88,51
90,01
91,51
93,01
94,51
96,01
97,52
99,02
100,52
102,02
103,52
105,02
106,52
108,02
109,52
111,02
112,52
114,02
115,52
117,03
118,53
120,03

121,53
123,03
124,53
126,03
127,53
129,03
130,53
132,03
133,53
135,03
136,54
138,04
139,54
141,04
142,54
144,04
145,54
147,04
148,54
150,04
151,54
153,04

11,48
12,99
14,49
15,99
17,49
19,00
20,50

22,00
23,50
25,01
26,51
28,01
29,51
31,01
32,52
34,02
35,52
37,02
38,52
40,02
41,53
43,03
44,53
46,03
47,53
49,03
50,53
52,03
53,54
55,04
56,54
58,04
59,54
61,04
62,54
64,04
65,55

67,05
68,55
70,05
71,55
73,05
74,55
76,05
77,55
79,05
80,56
82,06
83,56
85,06
86,56
88,06
89,56
91,06
92,56
94,06
95,56
97,07
98,57
100,07
101,57
103,07
104,57
106,07
107,57
109,07
110,57

112,07
113,57
115,07
116,58
118,08
119,58
121,08
122,58
124,08
125,58
127,08
128,58
130,08
131,58
133,08
134,58
136,09
137,59
139,09
140,59
142,09
143,59
145,09
146,59
148,09
149,59
151,09
152,59

10,80

12,30
13,80
15,30
16,80
18,30
19,80
21,30
22,80
24,30
25,80
27,30
28,80
30,30
31,80
33,30
34,80
36,30
37,80
39,30
40,80
42,30
43,80
45,30
46,80
48,30
49,80
51,30
52,80
54,30
55,80

57,30
58,80
60,30
61,80
63,30
64,80
66,30
67,80
69,30
70,80
72,30
73,80
75,30
76,80
78,30
79,80
81,30
82,80
84,30
85,80
87,30
88,80
90,30
91,80
93,30
94,80
96,30
97,80
99,30
100,80

102,30
103,80
105,30
106,80
108,30
109,80
111,30
112,80
114,30
115,80
117,30
118,80
120,30
121,80
123,30
124,80
126,30
127,80
129,30
130,80
132,30
133,80
135,30
136,80
138,30
139,80
141,30
142,80
144,30
145,80

147,30
148,80
150,30
151,80

8,15
9,54
10,97
12,41
13,86
15,33
16,80
18,27
19,75
21,23
22,72
24,20
25,69
27,18
28,67
30,16
31,66
33,15
34,64
36,14
37,63
39,13
40,62
42,12
43,61

45,11
46,61
48,10
49,60
51,10
52,59
54,09
55,59
57,09
58,58
60,08
61,58
63,08
64,58
66,07
67,57
69,07
70,57
72,07
73,57
75,07
76,56
78,06
79,56
81,06
82,56
84,06
85,56
87,06
88,56

90,05
91,55
93,05
94,55
96,05
97,55
99,05
100,55
102,05
103,55
105,05
106,55
108,05
109,54
111,04
112,54
114,04
115,54
117,04
118,54
120,04
121,54
123,04
124,54
126,04
127,54
129,04
130,54
132,04
133,54

135,04
136,54
138,04
139,53
141,03
142,53
144,03
145,53
147,03
148,53

Flat

4H

5H

6H

7H

2,389
2,390
2,390
2,391
2,391
2,392
2,392
2,392
2,393

2,393
2,393
2,394
2,394
2,394
2,394
2,395
2,395
2,395
2,395
2,395
2,396
2,396
2,396
2,396
2,397
2,397
2,397
2,397
2,397
2,397
2,398
2,398
2,398
2,398
2,398
2,398
2,399
2,399
2,399

2,399
2,399
2,399
2,399
2,400
2,400
2,400
2,400
2,400
2,400
2,400
2,401
2,401
2,401
2,401
2,401
2,401
2,401
2,401
2,402
2,402
2,402
2,402
2,402
2,402
2,402
2,402
2,403
2,403
2,403

2,403
2,403
2,403
2,403
2,403
2,403
2,404
2,404
2,404
2,404
2,404
2,404
2,404
2,404
2,404
2,404
2,405
2,405
2,405
2,405
2,405
2,405
2,405
2,405
2,405
2,405

2,410
2,410
2,411

2,412
2,412
2,413
2,414
2,414
2,415
2,415
2,416
2,416
2,417
2,417
2,417
2,418
2,418
2,418
2,419
2,419
2,420
2,420
2,420
2,420
2,421
2,421
2,421
2,422
2,422
2,422
2,423
2,423
2,423

2,423
2,424
2,424
2,424
2,424
2,425
2,425
2,425
2,425
2,426
2,426
2,426
2,426
2,426
2,427
2,427
2,427
2,427
2,428
2,428
2,428
2,428
2,428
2,429
2,429
2,429
2,429
2,429
2,430
2,430

2,430
2,430
2,430
2,430
2,431
2,431
2,431
2,431
2,431
2,432
2,432
2,432
2,432
2,432
2,432
2,433
2,433
2,433
2,433
2,433
2,433
2,434
2,434
2,434
2,434
2,434
2,434
2,435
2,435
2,435

2,435
2,435

2,440
2,441
2,442
2,443
2,444
2,445
2,446
2,447
2,448
2,448
2,449
2,450
2,451
2,451
2,452
2,452
2,453
2,454
2,454
2,455
2,455
2,456
2,456
2,457
2,457
2,458
2,458

2,459
2,459
2,460
2,460
2,460
2,461
2,461
2,462
2,462
2,462
2,463
2,463
2,464
2,464
2,464
2,465
2,465
2,465
2,466
2,466
2,466
2,467
2,467
2,467
2,468
2,468
2,468
2,469
2,469
2,469

2,470
2,470
2,470
2,471
2,471
2,471
2,472
2,472
2,472
2,472
2,473
2,473
2,473
2,474
2,474
2,474
2,474
2,475
2,475
2,475
2,475
2,476
2,476
2,476
2,476
2,477
2,477
2,477
2,477
2,478

2,478
2,478
2,478
2,479
2,479
2,479
2,479
2,480

2,490
2,492
2,494
2,496
2,497
2,499
2,500
2,501
2,503
2,504
2,505
2,506
2,507
2,508
2,509
2,510
2,511
2,512
2,513
2,514
2,515

2,516
2,516
2,517
2,518
2,519
2,520
2,520
2,521
2,522
2,522
2,523
2,524
2,524
2,525
2,526
2,526
2,527
2,528
2,528
2,529
2,529
2,530
2,531
2,531
2,532
2,532
2,533
2,533
2,534
2,534

2,535
2,535
2,536
2,536
2,537
2,537
2,538
2,538
2,539
2,539
2,540
2,540
2,541
2,541
2,542
2,542
2,543
2,543
2,544
2,544
2,544
2,545
2,545
2,546
2,546
2,547
2,547
2,547
2,548
2,548

2,549
2,549
2,550
2,550
2,550
2,551
2,551
2,552
2,552
2,552
2,553
2,553
2,553
2,554

19

© ISO 2005 – All rights reserved

Copyright International Organization for Standardization
Reproduced by IHS under license with ISO
No reproduction or networking permitted without license from IHS

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