SIST ISO 4156-2:2021
(Main)Straight cylindrical involute splines - Metric module, side fit - Part 2: Dimensions
Straight cylindrical involute splines - Metric module, side fit - Part 2: Dimensions
This document 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.
Cannelures cylindriques droites à flancs en développante - Module métrique, à centrage sur flancs - Partie 2: Dimensions
Le présent document spécifie les dimensions géométriques et les cotes de vérification nécessaires à la conception et à la fabrication des cannelures cylindriques droites (non hélicoïdales) à flancs en développante et centrage sur flancs.
Les cotes limites, les tolérances, les écarts de fabrication et leurs effets sur l'ajustement entre des éléments d'accouplement coaxiaux d'une cannelure sont définis et donnés dans des tableaux. Les dimensions linéaires sont exprimées en millimètres et celles des angles en degrés.
Les diamètres spécifiés pour les cannelures externes dans les tableaux des dimensions géométriques et les valeurs dans les tableaux des cotes de vérification sont valables uniquement pour l'écart fondamental «h».
Pour les écarts fondamentaux autres que «h», les diamètres et les épaisseurs des cannelures externes sont à calculer conformément aux formules de l'ISO 4156-1 et les cotes de vérification conformément aux formules de l'ISO 4156-3.
Ravni utori z evolventnimi boki na valjih - Metrski modul, bočno prileganje – 2. del: Mere
General Information
Relations
Standards Content (Sample)
SLOVENSKI STANDARD
01-oktober-2021
Nadomešča:
SIST ISO 4156-2:2006
Ravni utori z evolventnimi boki na valjih - Metrski modul, bočno prileganje – 2. del:
Mere
Straight cylindrical involute splines - Metric module, side fit - Part 2: Dimensions
Cannelures cylindriques droites à flancs en développante - Module métrique, à centrage
sur flancs - Partie 2: Dimensions
Ta slovenski standard je istoveten z: ISO 4156-2:2021
ICS:
21.120.30 Mozniki, utori za moznike, Keys and keyways, splines
razcepke
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
INTERNATIONAL ISO
STANDARD 4156-2
Second edition
2021-02
Straight cylindrical involute splines —
Metric module, side fit —
Part 2:
Dimensions
Cannelures cylindriques droites à flancs en développante — Module
métrique, à centrage sur flancs —
Partie 2: Dimensions
Reference number
©
ISO 2021
© ISO 2021
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may
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ii © ISO 2021 – All rights reserved
Contents Page
Foreword . v
Introduction . vi
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Symbols and abbreviated terms . 2
5 Geometry and inspection dimension. 3
5.1 General . 3
5.2 30 ° pressure angle, module 0,5 . 3
5.3 30° pressure angle, module 0,75 . 11
5.4 30° pressure angle, module 1 . 19
5.5 30° pressure angle, module 1,25 . 27
5.6 30° pressure angle, module 1,5 . 35
5.7 30° pressure angle, module 1,75 . 43
5.8 30° pressure angle, module 2 . 51
5.9 30° pressure angle, module 2,5 . 59
5.10 30° pressure angle, module 3 . 67
5.11 30° pressure angle, module 4 . 75
5.12 30° pressure angle, module 5 . 83
5.13 30° pressure angle, module 6 . 91
5.14 30° pressure angle, module 8 . 99
5.15 30° pressure angle, module 10 . 107
5.16 37,5° pressure angle, module 0,5 . 115
5.17 37,5° pressure angle, module 0,75 . 123
5.18 37,5° pressure angle, module 1 . 131
5.19 37,5° pressure angle, module 1,25 . 139
5.20 37,5° pressure angle, module 1,5 . 147
5.21 37,5° pressure angle, module 1,75 . 155
5.22 37,5° pressure angle, module 2 . 163
5.23 37,5° pressure angle, module 2,5 . 171
5.24 37,5° pressure angle, module 3 . 179
5.25 37,5° pressure angle, module 4 . 187
5.26 37,5° pressure angle, module 5 . 195
5.27 37,5° pressure angle, module 6 . 203
5.28 37,5° pressure angle, module 8 . 211
5.29 37,5° pressure angle, module 10 . 219
5.30 45° pressure angle, module 0,25 . 227
5.31 45° pressure angle, module 0,5 . 235
5.32 45° pressure angle, module 0,75 . 243
5.33 45° pressure angle, module 1 . 251
5.34 45° pressure angle, module 1,25 . 259
5.35 45° pressure angle, module 1,5 . 267
5.36 45° pressure angle, module 1,75 . 275
5.37 45° pressure angle, module 2 . 283
5.38 45° pressure angle, module 2,5 . 291
Annex A (informative) Inspection dimensions for span measurement . 299
Bibliography . 374
iv © ISO 2021 – All rights reserved
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.
The procedures used to develop this document and those intended for its further maintenance are
described in the ISO/IEC Directives, Part 1. In particular, the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
editorial rules of the ISO/IEC Directives, Part 2 (see www.iso.org/directives).
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. Details of any
patent rights identified during the development of the document will be in the Introduction and/or on
the ISO list of patent declarations received (see www.iso.org/patents).
Any trade name used in this document is information given for the convenience of users and does not
constitute an endorsement.
For an explanation of the voluntary nature of standards, the meaning of ISO specific terms and
expressions related to conformity assessment, as well as information about ISO's adherence to the World
Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT), see
www.iso.org/iso/foreword.html.
This document was prepared by Technical Committee ISO/TC 14 Shafts of machinery and accessories.
This second edition cancels and replaces the first edition (ISO 4156-2:2005), which has been technically
revised.
The main changes compared to the previous edition are as follows:
— ISO 4156-1 has been changed from dated to undated reference;
— ISO 4156-3 has been dated to refer to the new edition and moved to Bibliography;
— correction of descriptions of D and D ;
ie min ii min
— correction of the title for Table 32.
A list of all parts in the ISO 4156 series can be found on the ISO website.
Any feedback or questions on this document should be directed to the user’s national standards body. A
complete listing of these bodies can be found at www.iso.org/members.html.
Introduction
ISO 4156 (all parts) 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 (all parts) 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 (all parts) establishes a specification
based on the following modules:
— for pressure angles of 30° and 37,5° the module increments are:
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
vi © ISO 2021 – All rights reserved
INTERNATIONAL STANDARD ISO 4156-2:2021(E)
Straight cylindrical involute splines — Metric module,
side fit —
Part 2:
Dimensions
1 Scope
This document 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 documents are referred to in the text in such a way that some or all of their content
constitutes requirements 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, Straight cylindrical involute splines — Metric module, side fit — Part 1: Generalities
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 4156-1 apply.
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— ISO Online browsing platform: available at https://www.iso.org/obp
— IEC Electropedia: available at http://www.electropedia.org/
4 Symbols and abbreviated terms
D Pitch diameter mm
DFe max Maximum form diameter, external spline mm
D Minimum form diameter, internal spline mm
Fi min
D Diameter of measuring ball or pin for external spline mm
Re
DRi Diameter of measuring ball or pin for internal spline mm
Db Base diameter mm
D Maximum major diameter, external spline mm
ee max
D Maximum major diameter, internal spline mm
ei max
Die min Minimum minor diameter, external spline mm
D Minimum minor diameter, internal spline mm
ii min
E Maximum actual space width mm
max
Emin Minimum actual space width mm
Ev min Minimum effective space width mm
K Approximation factor for external spline —
e
K Approximation factor for internal spline —
i
k Number of measured teeth —
MRe Measurement over two balls or pins, external spline mm
M Measurement between two balls or pins, internal spline mm
Ri
Smax Maximum actual tooth thickness mm
Smin Minimum actual tooth thickness mm
S Maximum effective tooth thickness mm
v max
W Measurement over k teeth, external spline mm
z Number of teeth —
2 © ISO 2021 – All rights reserved
5 Geometry and inspection dimension
5.1 General
Geometry and inspection dimensions are given in Tables 1 to 148. Inspection dimensions for span
measurement regarding ISO 4156-3:2021, 9.2 are given in Annex A.
5.2 30 ° pressure angle, module 0,5
Table 1 — Geometry internal spline, α = 30°, m = 0,5, flat and fillet root, E = 0,785
v min
z D D D D D D E
b ei max ei max Fi min ii min max
Fillet Flat
root
4H 5H 6H 7H
6 3,00 2,598 1 4,06 3,91 3,60 2,72 0,808 0,822 0,843 0,878
7 3,50 3,031 1 4,56 4,41 4,10 3,18 0,809 0,823 0,844 0,879
8 4,00 3,464 1 5,07 4,92 4,60 3,66 0,809 0,823 0,845 0,880
9 4,50 3,897 1 5,57 5,42 5,10 4,14 0,809 0,824 0,845 0,881
10 5,00 4,330 1 6,07 5,92 5,60 4,62 0,809 0,824 0,846 0,883
11 5,50 4,763 1 6,57 6,42 6,10 5,11 0,810 0,824 0,847 0,884
12 6,00 5,196 2 7,07 6,92 6,60 5,60 0,810 0,825 0,847 0,884
13 6,50 5,629 2 7,57 7,42 7,10 6,09 0,810 0,825 0,848 0,885
14 7,00 6,062 2 8,08 7,93 7,60 6,58 0,810 0,826 0,848 0,886
15 7,50 6,495 2 8,58 8,43 8,10 7,08 0,811 0,826 0,849 0,887
16 8,00 6,928 2 9,08 8,93 8,60 7,57 0,811 0,826 0,849 0,888
17 8,50 7,361 2 9,58 9,43 9,10 8,07 0,811 0,826 0,850 0,889
18 9,00 7,794 2 10,08 9,93 9,60 8,56 0,811 0,827 0,850 0,889
19 9,50 8,227 2 10,58 10,43 10,10 9,06 0,811 0,827 0,851 0,890
20 10,00 8,660 3 11,08 10,93 10,60 9,56 0,811 0,827 0,851 0,891
21 10,50 9,093 3 11,58 11,43 11,10 10,05 0,812 0,828 0,851 0,891
22 11,00 9,526 3 12,09 11,94 11,60 10,55 0,812 0,828 0,852 0,892
23 11,50 9,959 3 12,59 12,44 12,10 11,05 0,812 0,828 0,852 0,893
24 12,00 10,392 3 13,09 12,94 12,60 11,55 0,812 0,828 0,853 0,893
25 12,50 10,825 3 13,59 13,44 13,10 12,05 0,812 0,829 0,853 0,894
26 13,00 11,258 3 14,09 13,94 13,60 12,54 0,812 0,829 0,853 0,894
27 13,50 11,691 3 14,59 14,44 14,10 13,04 0,812 0,829 0,854 0,895
28 14,00 12,124 4 15,09 14,94 14,60 13,54 0,813 0,829 0,854 0,895
29 14,50 12,557 4 15,59 15,44 15,10 14,04 0,813 0,829 0,854 0,896
30 15,00 12,990 4 16,09 15,94 15,60 14,54 0,813 0,830 0,855 0,897
31 15,50 13,423 4 16,59 16,44 16,10 15,04 0,813 0,830 0,855 0,897
32 16,00 13,856 4 17,09 16,94 16,60 15,54 0,813 0,830 0,855 0,898
33 16,50 14,289 4 17,60 17,45 17,10 16,03 0,813 0,830 0,856 0,898
34 17,00 14,722 4 18,10 17,95 17,60 16,53 0,813 0,830 0,856 0,899
35 17,50 15,155 4 18,60 18,45 18,10 17,03 0,813 0,831 0,856 0,899
36 18,00 15,588 5 19,10 18,95 18,60 17,53 0,814 0,831 0,857 0,899
37 18,50 16,021 5 19,60 19,45 19,10 18,03 0,814 0,831 0,857 0,900
38 19,00 16,454 5 20,10 19,95 19,60 18,53 0,814 0,831 0,857 0,900
39 19,50 16,887 5 20,60 20,45 20,10 19,03 0,814 0,831 0,857 0,901
40 20,00 17,320 5 21,10 20,95 20,60 19,53 0,814 0,831 0,858 0,901
41 20,50 17,753 5 21,60 21,45 21,10 20,03 0,814 0,832 0,858 0,902
42 21,00 18,186 5 22,10 21,95 21,60 20,53 0,814 0,832 0,858 0,902
43 21,50 18,619 5 22,60 22,45 22,10 21,03 0,814 0,832 0,858 0,902
44 22,00 19,052 6 23,10 22,95 22,60 21,53 0,814 0,832 0,859 0,903
45 22,50 19,485 6 23,60 23,45 23,10 22,02 0,815 0,832 0,859 0,903
46 23,00 19,918 6 24,11 23,96 23,60 22,52 0,815 0,832 0,859 0,904
47 23,50 20,351 6 24,61 24,46 24,10 23,02 0,815 0,833 0,859 0,904
48 24,00 20,784 6 25,11 24,96 24,60 23,52 0,815 0,833 0,860 0,904
49 24,50 21,217 6 25,61 25,46 25,10 24,02 0,815 0,833 0,860 0,905
50 25,00 21,650 6 26,11 25,96 25,60 24,52 0,815 0,833 0,860 0,905
Table 1 (continued)
D D D D D E
z D
b ei max ei max Fi min ii min max
Fillet Flat
root
4H 5H 6H 7H
51 25,50 22,083 6 26,61 26,46 26,10 25,02 0,815 0,833 0,860 0,906
52 26,00 22,516 7 27,11 26,96 26,60 25,52 0,815 0,833 0,861 0,906
53 26,50 22,949 7 27,61 27,46 27,10 26,02 0,815 0,834 0,861 0,906
54 27,00 23,382 7 28,11 27,96 27,60 26,52 0,815 0,834 0,861 0,907
55 27,50 23,815 7 28,61 28,46 28,10 27,02 0,815 0,834 0,861 0,907
56 28,00 24,248 7 29,11 28,96 28,60 27,52 0,816 0,834 0,861 0,907
57 28,50 24,681 7 29,61 29,46 29,10 28,02 0,816 0,834 0,862 0,908
58 29,00 25,114 7 30,11 29,96 29,60 28,52 0,816 0,834 0,862 0,908
59 29,50 25,547 7 30,61 30,46 30,10 29,02 0,816 0,834 0,862 0,908
60 30,00 25,980 8 31,11 30,96 30,60 29,52 0,816 0,834 0,862 0,909
61 30,50 26,413 8 31,61 31,46 31,10 30,02 0,816 0,835 0,863 0,909
62 31,00 26,846 8 32,12 31,97 31,60 30,52 0,816 0,835 0,863 0,909
63 31,50 27,279 8 32,62 32,47 32,10 31,02 0,816 0,835 0,863 0,910
64 32,00 27,712 8 33,12 32,97 32,60 31,52 0,816 0,835 0,863 0,910
65 32,50 28,145 8 33,62 33,47 33,10 32,02 0,816 0,835 0,863 0,910
66 33,00 28,578 8 34,12 33,97 33,60 32,52 0,816 0,835 0,863 0,911
67 33,50 29,011 9 34,62 34,47 34,10 33,02 0,816 0,835 0,864 0,911
68 34,00 29,444 9 35,12 34,97 34,60 33,52 0,817 0,835 0,864 0,911
69 34,50 29,877 9 35,62 35,47 35,10 34,02 0,817 0,836 0,864 0,912
70 35,00 30,310 9 36,12 35,97 35,60 34,52 0,817 0,836 0,864 0,912
71 35,50 30,743 9 36,62 36,47 36,10 35,02 0,817 0,836 0,864 0,912
72 36,00 31,176 9 37,12 36,97 36,60 35,52 0,817 0,836 0,865 0,912
73 36,50 31,609 9 37,62 37,47 37,10 36,02 0,817 0,836 0,865 0,913
74 37,00 32,042 9 38,12 37,97 37,60 36,51 0,817 0,836 0,865 0,913
75 37,50 32,476 0 38,62 38,47 38,10 37,01 0,817 0,836 0,865 0,913
76 38,00 32,909 0 39,12 38,97 38,60 37,51 0,817 0,836 0,865 0,914
77 38,50 33,342 0 39,62 39,47 39,10 38,01 0,817 0,837 0,866 0,914
78 39,00 33,775 0 40,12 39,97 39,60 38,51 0,817 0,837 0,866 0,914
79 39,50 34,208 0 40,62 40,47 40,10 39,01 0,817 0,837 0,866 0,914
80 40,00 34,641 0 41,12 40,97 40,60 39,51 0,817 0,837 0,866 0,915
81 40,50 35,074 0 41,63 41,48 41,10 40,01 0,817 0,837 0,866 0,915
82 41,00 35,507 0 42,13 41,98 41,60 40,51 0,818 0,837 0,866 0,915
83 41,50 35,940 1 42,63 42,48 42,10 41,01 0,818 0,837 0,867 0,916
84 42,00 36,373 1 43,13 42,98 42,60 41,51 0,818 0,837 0,867 0,916
85 42,50 36,806 1 43,63 43,48 43,10 42,01 0,818 0,837 0,867 0,916
86 43,00 37,239 1 44,13 43,98 43,60 42,51 0,818 0,838 0,867 0,916
87 43,50 37,672 1 44,63 44,48 44,10 43,01 0,818 0,838 0,867 0,917
88 44,00 38,105 1 45,13 44,98 44,60 43,51 0,818 0,838 0,867 0,917
89 44,50 38,538 1 45,63 45,48 45,10 44,01 0,818 0,838 0,868 0,917
90 45,00 38,971 1 46,13 45,98 45,60 44,51 0,818 0,838 0,868 0,917
91 45,50 39,404 2 46,63 46,48 46,10 45,01 0,818 0,838 0,868 0,918
92 46,00 39,837 2 47,13 46,98 46,60 45,51 0,818 0,838 0,868 0,918
93 46,50 40,270 2 47,63 47,48 47,10 46,01 0,818 0,838 0,868 0,918
94 47,00 40,703 2 48,13 47,98 47,60 46,51 0,818 0,838 0,868 0,918
95 47,50 41,136 2 48,63 48,48 48,10 47,01 0,818 0,838 0,869 0,919
96 48,00 41,569 2 49,13 48,98 48,60 47,51 0,818 0,839 0,869 0,919
97 48,50 42,002 2 49,63 49,48 49,10 48,01 0,819 0,839 0,869 0,919
98 49,00 42,435 2 50,13 49,98 49,60 48,51 0,819 0,839 0,869 0,919
99 49,50 42,868 3 50,63 50,48 50,10 49,01 0,819 0,839 0,869 0,920
100 50,00 43,301 3 51,13 50,98 50,60 49,51 0,819 0,839 0,869 0,920
4 © ISO 2021 – All rights reserved
Table 2 — Geometry external spline, α = 30°, m = 0,5, flat and fillet root, S = 0,785
v max
D
z D D D D D S
b
ee max Fe max ie min ie min min
Fillet root Flat
4h 5h 6h 7h
6 3,00 2,598 1 3,50 2,62 1,94 2,09 0,762 0,748 0,727 0,692
7 3,50 3,031 1 4,00 3,08 2,44 2,59 0,761 0,747 0,726 0,691
8 4,00 3,464 1 4,50 3,56 2,93 3,08 0,761 0,747 0,725 0,690
9 4,50 3,897 1 5,00 4,04 3,43 3,58 0,761 0,746 0,725 0,689
10 5,00 4,330 1 5,50 4,52 3,93 4,08 0,761 0,746 0,724 0,687
11 5,50 4,763 1 6,00 5,01 4,43 4,58 0,760 0,746 0,723 0,686
12 6,00 5,196 2 6,50 5,50 4,93 5,08 0,760 0,745 0,723 0,686
13 6,50 5,629 2 7,00 5,99 5,43 5,58 0,760 0,745 0,722 0,685
14 7,00 6,062 2 7,50 6,48 5,92 6,07 0,760 0,744 0,722 0,684
15 7,50 6,495 2 8,00 6,98 6,42 6,57 0,759 0,744 0,721 0,683
16 8,00 6,928 2 8,50 7,47 6,92 7,07 0,759 0,744 0,721 0,682
17 8,50 7,361 2 9,00 7,97 7,42 7,57 0,759 0,744 0,720 0,681
18 9,00 7,794 2 9,50 8,46 7,92 8,07 0,759 0,743 0,720 0,681
19 9,50 8,227 2 10,00 8,96 8,42 8,57 0,759 0,743 0,719 0,680
20 10,00 8,660 3 10,50 9,46 8,92 9,07 0,759 0,743 0,719 0,679
21 10,50 9,093 3 11,00 9,95 9,42 9,57 0,758 0,742 0,719 0,679
22 11,00 9,526 3 11,50 10,45 9,91 10,06 0,758 0,742 0,718 0,678
23 11,50 9,959 3 12,00 10,95 10,41 10,56 0,758 0,742 0,718 0,677
24 12,00 10,392 3 12,50 11,45 10,91 11,06 0,758 0,742 0,717 0,677
25 12,50 10,825 3 13,00 11,95 11,41 11,56 0,758 0,741 0,717 0,676
26 13,00 11,258 3 13,50 12,44 11,91 12,06 0,758 0,741 0,717 0,676
27 13,50 11,691 3 14,00 12,94 12,41 12,56 0,758 0,741 0,716 0,675
28 14,00 12,124 4 14,50 13,44 12,91 13,06 0,757 0,741 0,716 0,675
29 14,50 12,557 4 15,00 13,94 13,41 13,56 0,757 0,741 0,716 0,674
30 15,00 12,990 4 15,50 14,44 13,91 14,06 0,757 0,740 0,715 0,673
31 15,50 13,423 4 16,00 14,94 14,41 14,56 0,757 0,740 0,715 0,673
32 16,00 13,856 4 16,50 15,44 14,91 15,06 0,757 0,740 0,715 0,672
33 16,50 14,289 4 17,00 15,93 15,40 15,55 0,757 0,740 0,714 0,672
34 17,00 14,722 4 17,50 16,43 15,90 16,05 0,757 0,740 0,714 0,671
35 17,50 15,155 4 18,00 16,93 16,40 16,55 0,757 0,739 0,714 0,671
36 18,00 15,588 5 18,50 17,43 16,90 17,05 0,756 0,739 0,713 0,671
37 18,50 16,021 5 19,00 17,93 17,40 17,55 0,756 0,739 0,713 0,670
38 19,00 16,454 5 19,50 18,43 17,90 18,05 0,756 0,739 0,713 0,670
39 19,50 16,887 5 20,00 18,93 18,40 18,55 0,756 0,739 0,713 0,669
40 20,00 17,320 5 20,50 19,43 18,90 19,05 0,756 0,739 0,712 0,669
41 20,50 17,753 5 21,00 19,93 19,40 19,55 0,756 0,738 0,712 0,668
42 21,00 18,186 5 21,50 20,43 19,90 20,05 0,756 0,738 0,712 0,668
43 21,50 18,619 5 22,00 20,93 20,40 20,55 0,756 0,738 0,712 0,668
44 22,00 19,052 6 22,50 21,43 20,90 21,05 0,756 0,738 0,711 0,667
45 22,50 19,485 6 23,00 21,92 21,40 21,55 0,755 0,738 0,711 0,667
46 23,00 19,918 6 23,50 22,42 21,89 22,04 0,755 0,738 0,711 0,666
47 23,50 20,351 6 24,00 22,92 22,39 22,54 0,755 0,737 0,711 0,666
48 24,00 20,784 6 24,50 23,42 22,89 23,04 0,755 0,737 0,710 0,666
49 24,50 21,217 6 25,00 23,92 23,39 23,54 0,755 0,737 0,710 0,665
50 25,00 21,650 6 25,50 24,42 23,89 24,04 0,755 0,737 0,710 0,665
51 25,50 22,083 6 26,00 24,92 24,39 24,54 0,755 0,737 0,710 0,664
52 26,00 22,516 7 26,50 25,42 24,89 25,04 0,755 0,737 0,709 0,664
53 26,50 22,949 7 27,00 25,92 25,39 25,54 0,755 0,736 0,709 0,664
54 27,00 23,382 7 27,50 26,42 25,89 26,04 0,755 0,736 0,709 0,663
55 27,50 23,815 7 28,00 26,92 26,39 26,54 0,755 0,736 0,709 0,663
56 28,00 24,248 7 28,50 27,42 26,89 27,04 0,754 0,736 0,709 0,663
57 28,50 24,681 7 29,00 27,92 27,39 27,54 0,754 0,736 0,708 0,662
58 29,00 25,114 7 29,50 28,42 27,89 28,04 0,754 0,736 0,708 0,662
59 29,50 25,547 7 30,00 28,92 28,39 28,54 0,754 0,736 0,708 0,662
60 30,00 25,980 8 30,50 29,42 28,89 29,04 0,754 0,736 0,708 0,661
61 30,50 26,413 8 31,00 29,92 29,39 29,54 0,754 0,735 0,707 0,661
62 31,00 26,846 8 31,50 30,42 29,88 30,03 0,754 0,735 0,707 0,661
63 31,50 27,279 8 32,00 30,92 30,38 30,53 0,754 0,735 0,707 0,660
Table 2 (continued)
D D D D D S
z D
b ee max Fe max ie min ie min min
Fillet root Flat
4h 5h 6h 7h
64 32,00 27,712 8 32,50 31,42 30,88 31,03 0,754 0,735 0,707 0,660
65 32,50 28,145 8 33,00 31,92 31,38 31,53 0,754 0,735 0,707 0,660
66 33,00 28,578 8 33,50 32,42 31,88 32,03 0,754 0,735 0,707 0,659
67 33,50 29,011 9 34,00 32,92 32,38 32,53 0,754 0,735 0,706 0,659
68 34,00 29,444 9 34,50 33,42 32,88 33,03 0,753 0,735 0,706 0,659
69 34,50 29,877 9 35,00 33,92 33,38 33,53 0,753 0,734 0,706 0,658
70 35,00 30,310 9 35,50 34,42 33,88 34,03 0,753 0,734 0,706 0,658
71 35,50 30,743 9 36,00 34,92 34,38 34,53 0,753 0,734 0,706 0,658
72 36,00 31,176 9 36,50 35,42 34,88 35,03 0,753 0,734 0,705 0,658
73 36,50 31,609 9 37,00 35,92 35,38 35,53 0,753 0,734 0,705 0,657
74 37,00 32,042 9 37,50 36,41 35,88 36,03 0,753 0,734 0,705 0,657
75 37,50 32,476 0 38,00 36,91 36,38 36,53 0,753 0,734 0,705 0,657
76 38,00 32,909 0 38,50 37,41 36,88 37,03 0,753 0,734 0,705 0,656
77 38,50 33,342 0 39,00 37,91 37,38 37,53 0,753 0,733 0,704 0,656
78 39,00 33,775 0 39,50 38,41 37,88 38,03 0,753 0,733 0,704 0,656
79 39,50 34,208 0 40,00 38,91 38,38 38,53 0,753 0,733 0,704 0,656
80 40,00 34,641 0 40,50 39,41 38,88 39,03 0,753 0,733 0,704 0,655
81 40,50 35,074 0 41,00 39,91 39,37 39,52 0,753 0,733 0,704 0,655
82 41,00 35,507 0 41,50 40,41 39,87 40,02 0,752 0,733 0,704 0,655
83 41,50 35,940 1 42,00 40,91 40,37 40,52 0,752 0,733 0,703 0,654
84 42,00 36,373 1 42,50 41,41 40,87 41,02 0,752 0,733 0,703 0,654
85 42,50 36,806 1 43,00 41,91 41,37 41,52 0,752 0,733 0,703 0,654
86 43,00 37,239 1 43,50 42,41 41,87 42,02 0,752 0,732 0,703 0,654
87 43,50 37,672 1 44,00 42,91 42,37 42,52 0,752 0,732 0,703 0,653
88 44,00 38,105 1 44,50 43,41 42,87 43,02 0,752 0,732 0,703 0,653
89 44,50 38,538 1 45,00 43,91 43,37 43,52 0,752 0,732 0,702 0,653
90 45,00 38,971 1 45,50 44,41 43,87 44,02 0,752 0,732 0,702 0,653
91 45,50 39,404 2 46,00 44,91 44,37 44,52 0,752 0,732 0,702 0,652
92 46,00 39,837 2 46,50 45,41 44,87 45,02 0,752 0,732 0,702 0,652
93 46,50 40,270 2 47,00 45,91 45,37 45,52 0,752 0,732 0,702 0,652
94 47,00 40,703 2 47,50 46,41 45,87 46,02 0,752 0,732 0,702 0,652
95 47,50 41,136 2 48,00 46,91 46,37 46,52 0,752 0,732 0,701 0,651
96 48,00 41,569 2 48,50 47,41 46,87 47,02 0,752 0,731 0,701 0,651
97 48,50 42,002 2 49,00 47,91 47,37 47,52 0,751 0,731 0,701 0,651
98 49,00 42,435 2 49,50 48,41 47,87 48,02 0,751 0,731 0,701 0,651
99 49,50 42,868 3 50,00 48,91 48,37 48,52 0,751 0,731 0,701 0,650
100 50,00 43,301 3 50,50 49,41 48,87 49,02 0,751 0,731 0,701 0,650
6 © ISO 2021 – All rights reserved
Table 3 — Inspection dimensions internal spline, α = 30°, m = 0,5, flat or fillet root, E = 0,785
v min
Measurement between balls or pins, M (checking of dimensions E and E ) for
Ri min max
D K
z
Ri i
tolerance classes
4H 5H 6H 7H
min. max. min. max. min. max. min. max.
(aux.) (aux.) (aux.) (aux.)
6 — — — — — — — — — —
7 — — — — — — — — — —
8 0,85 2,752 2,791 2,767 2,830 2,788 2,882 2,821 2,960 2,079
9 0,85 3,207 3,241 3,220 3,276 3,239 3,324 3,268 3,399 1,987
10 0,85 3,780 3,813 3,793 3,846 3,810 3,894 3,838 3,969 1,974
11 0,85 4,235 4,266 4,247 4,298 4,264 4,344 4,291 4,418 1,922
12 0,85 4,793 4,823 4,805 4,855 4,821 4,901 4,848 4,975 1,917
13 0,90 5,071 5,104 5,084 5,139 5,102 5,189 5,131 5,268 2,031
14 0,90 5,623 5,655 5,636 5,689 5,653 5,739 5,682 5,817 2,011
15 0,90 6,091 6,122 6,103 6,155 6,120 6,203 6,148 6,281 1,972
16 0,90 6,634 6,665 6,646 6,698 6,663 6,746 6,691 6,823 1,960
17 0,90 7,104 7,134 7,116 7,166 7,133 7,214 7,160 7,291 1,932
18 0,90 7,642 7,672 7,654 7,704 7,670 7,751 7,697 7,828 1,924
19 0,90 8,114 8,143 8,126 8,175 8,142 8,222 8,169 8,299 1,904
20 0,90 8,648 8,677 8,659 8,709 8,676 8,756 8,702 8,832 1,898
21 0,90 9,122 9,151 9,134 9,182 9,150 9,229 9,176 9,305 1,882
22 0,90 9,652 9,681 9,664 9,712 9,680 9,759 9,707 9,836 1,878
23 0,90 10,128 10,157 10,140 10,188 10,156 10,235 10,183 10,311 1,865
24 0,90 10,656 10,684 10,667 10,716 10,684 10,762 10,710 10,839 1,862
25 0,90 11,133 11,161 11,145 11,193 11,161 11,240 11,188 11,316 1,852
26 0,90 11,659 11,687 11,670 11,718 11,687 11,765 11,713 11,842 1,849
27 0,90 12,138 12,166 12,149 12,197 12,166 12,244 12,192 12,321 1,841
28 0,90 12,661 12,689 12,673 12,721 12,689 12,768 12,716 12,844 1,839
29 0,90 13,142 13,169 13,153 13,201 13,170 13,248 13,196 13,325 1,831
30 0,90 13,663 13,691 13,675 13,723 13,692 13,770 13,718 13,847 1,830
31 0,90 14,145 14,172 14,157 14,204 14,173 14,251 14,200 14,329 1,823
32 0,90 14,665 14,693 14,677 14,724 14,694 14,772 14,720 14,849 1,822
33 0,90 15,148 15,175 15,160 15,207 15,176 15,254 15,203 15,332 1,817
34 0,90 15,667 15,694 15,679 15,726 15,695 15,773 15,722 15,851 1,815
35 0,90 16,150 16,178 16,162 16,210 16,179 16,257 16,206 16,335 1,811
36 0,90 16,668 16,696 16,680 16,728 16,697 16,775 16,724 16,853 1,810
37 0,90 17,153 17,180 17,165 17,212 17,182 17,260 17,209 17,338 1,805
38 0,90 17,670 17,697 17,682 17,729 17,699 17,777 17,726 17,855 1,805
39 0,90 18,155 18,182 18,167 18,214 18,184 18,262 18,211 18,341 1,801
40 0,90 18,671 18,698 18,683 18,730 18,700 18,778 18,727 18,857 1,800
41 0,90 19,157 19,184 19,169 19,216 19,186 19,264 19,213 19,343 1,797
42 0,90 19,672 19,699 19,684 19,731 19,701 19,779 19,729 19,859 1,796
43 0,90 20,159 20,186 20,171 20,218 20,188 20,266 20,215 20,346 1,793
44 0,90 20,673 20,700 20,685 20,732 20,703 20,781 20,730 20,861 1,793
45 0,90 21,160 21,187 21,172 21,220 21,190 21,268 21,217 21,348 1,790
46 0,90 21,674 21,701 21,686 21,734 21,704 21,782 21,732 21,862 1,789
47 0,90 22,162 22,188 22,174 22,221 22,192 22,270 22,219 22,350 1,787
48 0,90 22,675 22,702 22,687 22,734 22,705 22,783 22,733 22,864 1,786
49 0,90 23,163 23,190 23,176 23,223 23,193 23,271 23,221 23,352 1,784
50 0,90 23,676 23,703 23,688 23,735 23,706 23,784 23,734 23,865 1,784
51 0,90 24,164 24,191 24,177 24,224 24,195 24,273 24,223 24,354 1,782
52 0,90 24,677 24,703 24,689 24,736 24,707 24,785 24,735 24,867 1,781
53 0,90 25,166 25,192 25,178 25,225 25,196 25,274 25,224 25,356 1,779
54 0,90 25,677 25,704 25,690 25,737 25,708 25,786 25,736 25,868 1,779
55 0,90 26,167 26,193 26,179 26,226 26,197 26,276 26,226 26,358 1,777
56 0,90 26,678 26,705 26,691 26,738 26,709 26,787 26,738 26,869 1,777
57 0,90 27,168 27,194 27,181 27,228 27,199 27,277 27,227 27,359 1,775
58 0,90 27,679 27,705 27,692 27,739 27,710 27,788 27,739 27,871 1,775
59 0,90 28,169 28,195 28,182 28,229 28,200 28,279 28,229 28,361 1,774
60 0,90 28,679 28,706 28,692 28,739 28,711 28,789 28,740 28,872 1,773
Table 3 (continued)
Measurement between balls or pins, M (checking of dimensions E and E ) for
Ri min max
D K
z
Ri i
tolerance classes
4H 5H 6H 7H
min. max. min. max. min. max. min. max.
(aux.) (aux.) (aux.) (aux.)
61 0,90 29,170 29,196 29,183 29,230 29,201 29,280 29,230 29,363 1,772
62 0,90 29,680 29,707 29,693 29,740 29,712 29,790 29,741 29,873 1,772
63 0,90 30,171 30,197 30,184 30,231 30,202 30,281 30,231 30,364 1,770
64 0,90 30,681 30,707 30,694 30,741 30,712 30,791 30,742 30,874 1,770
65 0,90 31,171 31,198 31,185 31,232 31,203 31,282 31,233 31,366 1,769
66 0,90 31,681 31,708 31,694 31,741 31,713 31,792 31,743 31,876 1,769
67 0,90 32,172 32,199 32,186 32,233 32,204 32,283 32,234 32,367 1,768
68 0,90 32,682 32,708 32,695 32,742 32,714 32,793 32,744 32,877 1,768
69 0,90 33,173 33,199 33,186 33,233 33,205 33,284 33,235 33,368 1,766
70 0,90 33,682 33,709 33,696 33,743 33,715 33,794 33,744 33,878 1,766
71 0,90 34,174 34,200 34,187 34,234 34,206 34,285 34,236 34,370 1,765
72 0,90 34,683 34,709 34,696 34,743 34,715 34,794 34,745 34,879 1,765
73 0,90 35,175 35,201 35,188 35,235 35,207 35,286 35,237 35,371 1,764
74 0,90 35,683 35,709 35,697 35,744 35,716 35,795 35,746 35,880 1,764
75 0,90 36,175 36,202 36,189 36,236 36,208 36,287 36,238 36,372 1,763
76 0,90 36,684 36,710 36,697 36,744 36,717 36,796 36,747 36,881 1,763
77 0,90 37,176 37,202 37,190 37,237 37,209 37,288 37,240 37,374 1,762
78 0,90 37,684 37,710 37,698 37,745 37,717 37,797 37,748 37,882 1,762
79 0,90 38,177 38,203 38,190 38,237 38,210 38,289 38,241 38,375 1,761
80 0,90 38,684 38,711 38,698 38,745 38,718 38,797 38,749 38,883 1,761
81 0,90 39,177 39,203 39,191 39,238 39,211 39,290 39,242 39,376 1,760
82 0,90 39,685 39,711 39,699 39,746 39,719 39,798 39,750 39,884 1,760
83 0,90 40,178 40,204 40,192 40,239 40,212 40,291 40,243 40,377 1,760
84 0,90 40,685 40,711 40,699 40,746 40,719 40,799 40,750 40,885 1,759
85 0,90 41,178 41,204 41,192 41,239 41,212 41,292 41,244 41,379 1,759
86 0,90 41,686 41,712 41,700 41,747 41,720 41,799 41,751 41,886 1,759
87 0,90 42,179 42,205 42,193 42,240 42,213 42,293 42,244 42,380 1,758
88 0,90 42,686 42,712 42,700 42,747 42,720 42,800 42,752 42,887 1,758
89 0,90 43,179 43,206 43,194 43,241 43,214 43,293 43,245 43,381 1,757
90 0,90 43,686 43,713 43,701 43,748 43,721 43,801 43,753 43,888 1,757
91 0,90 44,180 44,206 44,194 44,241 44,215 44,294 44,246 44,382 1,757
92 0,90 44,687 44,713 44,701 44,748 44,722 44,801 44,753 44,889 1,757
93 0,90 45,180 45,207 45,195 45,242 45,215 45,295 45,247 45,383 1,756
94 0,90 45,687 45,713 45,702 45,749 45,722 45,802 45,754 45,890 1,756
95 0,90 46,181 46,207 46,196 46,243 46,216 46,296 46,248 46,384 1,755
96 0,90 46,688 46,714 46,702 46,749 46,723 46,802 46,755 46,891 1,755
97 0,90 47,181 47,207 47,196 47,243 47,217 47,296 47,249 47,385 1,755
98 0,90 47,688 47,714 47,703 47,750 47,723 47,803 47,756 47,892 1,755
99 0,90 48,182 48,208 48,197 48,244 48,217 48,297 48,250 48,386 1,754
100 0,90 48,688 48,714 48,703 48,750 48,724 48,804 48,756 48,893 1,754
8 © ISO 2021 – All rights reserved
Table 4 — Inspection dimensions external spline, α = 30°, m = 0,5, flat or fillet root, S = 0,785
v max
Measurement over balls or pins, M (checking of dimensions S and S ) for tolerance
Re min max
z D K
Re e
classes
4h 5h 6h 7h
min. max. min. max. min. max. min. max.
(aux.) (aux.) (aux.) (aux.)
6 1,12 4,797 4,813 4,780 4,807 4,754 4,798 4,711 4,784 1,255
7 1,12 5,204 5,220 5,187 5,214 5,161 5,206 5,117 5,191 1,254
8 1,06 5,670 5,687 5,651 5,681 5,622 5,671 5,575 5,655 1,350
9 1,06 6,099 6,117 6,080 6,110 6,051 6,101 6,003 6,085 1,354
10 1,06 6,683 6,701 6,663 6,694 6,633 6,684 6,582 6,668 1,395
11 1,00 6,970 6,989 6,950 6,982 6,918 6,972 6,866 6,955 1,441
12 1,00 7,535 7,555 7,514 7,547 7,482 7,537 7,427 7,519 1,471
13 1,00 7,987 8,007 7,965 7,999 7,933 7,988 7,878 7,970 1,475
14 1,00 8,541 8,561 8,519 8,554 8,485 8,542 8,429 8,524 1,498
15 1,00 8,999 9,020 8,977 9,012 8,943 9,001 8,886 8,982 1,501
16 1,00 9,546 9,566 9,523 9,558 9,488 9,547 9,430 9,528 1,520
17 1,00 10,009 10,030 9,986 10,022 9,951 10,010 9,892 9,991 1,523
18 1,00 10,549 10,571 10,526 10,562 10,490 10,550 10,431 10,531 1,538
19 1,00 11,017 11,038 10,993 11,029 10,957 11,017 10,897 10,998 1,541
20 1,00 11,552 11,574 11,528 11,565 11,492 11,553 11,431 11,533 1,554
21 0,95 11,884 11,906 11,860 11,898 11,822 11,885 11,760 11,864 1,587
22 0,95 12,416 12,438 12,391 12,429 12,353 12,416 12,289 12,396 1,597
23 0,95 12,889 12,911 12,864 12,902 12,826 12,889 12,761 12,868 1,598
24 0,95 13,417 13,440 13,392 13,431 13,353 13,418 13,289 13,396 1,607
25 0,95 13,892 13,915 13,867 13,906 13,828 13,892 13,763 13,871 1,608
26 0,95 14,419 14,441 14,393 14,432 14,354 14,419 14,288 14,397 1,615
27 0,95 14,896 14,918 14,869 14,909 14,830 14,895 14,764 14,874 1,616
28 0,95 15,420 15,442 15,393 15,433 15,354 15,419 15,287 15,397 1,623
29 0,95 15,898 15,921 15,872 15,911 15,832 15,898 15,764 15,876 1,624
30 0,95 16,420 16,443 16,394 16,434 16,353 16,420 16,286 16,398 1,629
31 0,95 16,900 16,923 16,873 16,914 16,833 16,900 16,765 16,877 1,630
32 0,95 17,421 17,444 17,394 17,434 17,353 17,420 17,285 17,398 1,635
33 0,95 17,902 17,926 17,875 17,916 17,834 17,901 17,765 17,879 1,636
34 0,95 18,422 18,445 18,394 18,435 18,353 18,421 18,284 18,398 1,641
35 0,95 18,904 18,927 18,876 18,917 18,835 18,903 18,765 18,880 1,642
36 0,95 19,422 19,446 19,395 19,436 19,353 19,421 19,283 19,398 1,646
37 0,95 19,906 19,929 19,878 19,919 19,836 19,904 19,765 19,881 1,646
38 0,95 20,423 20,446 20,395 20,436 20,353 20,421 20,281 20,398 1,650
39 0,95 20,907 20,930 20,879 20,920 20,836 20,905 20,765 20,881 1,651
40 0,95 21,423 21,447 21,395 21,436 21,352 21,421 21,280 21,397 1,654
41 0,95 21,908 21,932 21,880 21,921 21,837 21,906 21,765 21,882 1,655
42 0,95 22,424 22,447 22,395 22,437 22,352 22,422 22,279 22,397 1,658
43 0,95 22,909 22,933 22,880 22,922 22,837 22,907 22,764 22,882 1,658
44 0,95 23,424 23,448 23,395 23,437 23,351 23,422 23,278 23,397 1,661
45 0,95 23,910 23,934 23,881 23,923 23,837 23,908 23,764 23,883 1,661
46 0,95 24,424 24,448 24,395 24,437 24,351 24,422 24,277 24,397 1,664
47 0,95 24,911 24,935 24,882 24,924 24,838 24,908 24,764 24,883 1,664
48 0,95 25,424 25,448 25,395 25,437 25,351 25,422 25,276 25,396 1,667
49 0,95 25,912 25,936 25,882 25,925 25,838 25,909 25,763 25,883 1,667
50 0,95 26,425 26,449 26,395 26,437 26,350 26,421 26,275 26,396 1,669
51 0,95 26,912 26,936 26,883 26,925 26,838 26,909 26,763 26,884 1,670
52 0,95 27,425 27,449 27,395 27,437 27,350 27,421 27,274 27,396 1,672
53 0,95 27,913 27,937 27,883 27,926 27,838 27,909 27,762 27,884 1,672
54 0,95 28,425 28,449 28,395 28,438 28,349 28,421 28,273 28,395 1,674
55 0,95 28,914 28,938 28,883 28,926 28,838 28,910 28,761 28,884 1,674
56 0,95 29,425 29,449 29,395 29,438 29,349 29,421 29,272 29,395 1,676
57 0,95 29,914 29,938 29,884 29,927 29,838 29,910 29,761 29,884 1,676
58 0,95 30,425 30,449 30,395 30,438 30,348 30,421 30,271 30,395 1,678
59 0,95 30,914 30,939 30,884 30,927 30,838 30,910 30,760 30,884 1,678
60 0,95 31,425 31,449 31,394 31,438 31,348 31,421 31,270 31,394 1,680
Table 4 (continued)
Measurement over balls or pins, M (checking of dimensions S and S ) for tolerance
Re min max
z D K
Re e
classes
4h 5h 6h 7h
min. max. min. max. min. max. min. max.
(aux.) (aux.) (aux.) (aux.)
61 0,95 31,915 31,939 31,884 31,927 31,838 31,910 31,760 31,884 1,680
62 0,95 32,425 32,450 32,394 32,438 32,348 32,421 32,269 32,394 1,682
63 0,95 32,915 32,940 32,884 32,928 32,837 32,911 32,759 32,884 1,682
64 0,95 33,425 33,450 33,394 33,438 33,347 33,420 33,269 33,393 1,683
65 0,95 33,916 33,940 33,884 33,928 33,837 33,911 33,758 33,883 1,684
66 0,95 34,425 34,450 34,394 34,437 34,347 34,420 34,268 34,393 1,685
67 0,95 34,916 34,940 34,884 34,928 34,837 34,911 34,758 34,883 1,685
68 0,95 35,425 35,450 35,394 35,437 35,346 35,420 35,267 35,392 1,686
69 0,95 35,916 35,941 35,885 35,928 35,837 35,911 35,757 35,883 1,686
70 0,95 36,425 36,450 36,394 36,437 36,346 36,420 36,266 36,392 1,688
71 0,95 36,916 36,941 36,885 36,928 36,837 36,911 36,757 36,883 1,688
72 0,95 37,425 37,450 37,393 37,437 37,345 37,419 37,265 37,391 1,689
73 0,95 37,917 37,941 37,885 37,929 37,837 37,911 37,756 37,883 1,689
74 0,95 38,425 38,450 38,393 38,437 38,345 38,419 38,264 38,391 1,690
75 0,95 38,917 38,941 38,885 38,929 38,836 38,911 38,755 38,882 1,690
76 0,95 39,425 39,450 39,393 39,437 39,344 39,419 39,263 39,390 1,691
77 0,95 39,917 39,942 39,885 39,929 39,836 39,911 39,755 39,882 1,691
78 0,95 40,425 40,450 40,393 40,437 40,344 40,419 40,262 40,390 1,692
79 0,95 40,917 40,942 40,885 40,929 40,836 40,911 40,754 40,882 1,693
80 0,95 41,425 41,450 41,393 41,437 41,344 41,418 41,261 41,389 1,693
81 0,95 41,917 41,942 41,885 41,929 41,836 41,911 41,753 41,882 1,694
82 0,95 42,425 42,450 42,392 42,437 42,343 42,418 42,261 42,389 1,694
83 0,95 42,918 42,942 42,885 42,929 42,835 42,910 42,753 42,881 1,695
84 0,95 43,425 43,450 43,392 43,436 43,343 43,418 43,260 43,389 1,695
85 0,95 43,918 43,942 43,885 43,929 43,835 43,910 43,752 43,881 1,696
86 0,95 44,425 44,450 44,392 44,436 44,342 44,418 44,259 44,388 1,696
87 0,95 44,918 44,942 44,885 44,929 44,835 44,910 44,751 44,881 1,696
88 0,95 45,425 45,450 45,392 45,436 45,342 45,417 45,258 45,388 1,697
89 0,95 45,918 45,943 45,885 45,929 45,835 45,910 45,751 45,880 1,697
90 0,95 46,425 46,450 46,392 46,436 46,341 46,417 46,257 46,387 1,698
91 0,95 46,918 46,943 46,885 46,929 46,834 46,910 46,750 46,880 1,698
92 0,95 47,425 47,450 47,391 47,436 47,341 47,417 47,256 47,387 1,699
93 0,95 47,918 47,943 47,885 47,929 47,834 47,910 47,749 47,880 1,699
94 0,95 48,425 48,449 48,391 48,436 48,340 48,416 48,256 48,386 1,700
95 0,95 48,918 48,943 48,884 48,929 48,834 48,910 48,749 48,879 1,700
96 0,95 49,425 49,449 49,391 49,436 49,340 49,416 49,255 49,386 1,700
97 0,95 49,918 49,943 49,884 49,929 49,833 49,910 49,748 49,879 1,700
98 0,95 50,425 50,449 50,391 50,435 50,340 50,416 50,254 50,385 1,701
99 0,95 50,918 50,943 50,884 50,929 50,833 50,909 50,747 50,879 1,701
100 0,95 51,425 51,449 51,390 51,435 51,339 51,415 51,253 51,385 1,702
10 © ISO 2021 – All rights reserved
5.3 30° pressure angle, module 0,75
Table 5 — Geometry internal spline, α = 30°, m = 0,75, flat and fillet root, E = 1,178
v min
D D D D D E
z D
b ei max ei max Fi min ii min max
Fillet Flat
root
4H 5H 6H 7H
6 4,50 3
...
INTERNATIONAL ISO
STANDARD 4156-2
Second edition
2021-02
Straight cylindrical involute splines —
Metric module, side fit —
Part 2:
Dimensions
Cannelures cylindriques droites à flancs en développante — Module
métrique, à centrage sur flancs —
Partie 2: Dimensions
Reference number
©
ISO 2021
© ISO 2021
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may
be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting
on the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address
below or ISO’s member body in the country of the requester.
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Published in Switzerland
ii © ISO 2021 – All rights reserved
Contents Page
Foreword . v
Introduction . vi
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Symbols and abbreviated terms . 2
5 Geometry and inspection dimension. 3
5.1 General . 3
5.2 30 ° pressure angle, module 0,5 . 3
5.3 30° pressure angle, module 0,75 . 11
5.4 30° pressure angle, module 1 . 19
5.5 30° pressure angle, module 1,25 . 27
5.6 30° pressure angle, module 1,5 . 35
5.7 30° pressure angle, module 1,75 . 43
5.8 30° pressure angle, module 2 . 51
5.9 30° pressure angle, module 2,5 . 59
5.10 30° pressure angle, module 3 . 67
5.11 30° pressure angle, module 4 . 75
5.12 30° pressure angle, module 5 . 83
5.13 30° pressure angle, module 6 . 91
5.14 30° pressure angle, module 8 . 99
5.15 30° pressure angle, module 10 . 107
5.16 37,5° pressure angle, module 0,5 . 115
5.17 37,5° pressure angle, module 0,75 . 123
5.18 37,5° pressure angle, module 1 . 131
5.19 37,5° pressure angle, module 1,25 . 139
5.20 37,5° pressure angle, module 1,5 . 147
5.21 37,5° pressure angle, module 1,75 . 155
5.22 37,5° pressure angle, module 2 . 163
5.23 37,5° pressure angle, module 2,5 . 171
5.24 37,5° pressure angle, module 3 . 179
5.25 37,5° pressure angle, module 4 . 187
5.26 37,5° pressure angle, module 5 . 195
5.27 37,5° pressure angle, module 6 . 203
5.28 37,5° pressure angle, module 8 . 211
5.29 37,5° pressure angle, module 10 . 219
5.30 45° pressure angle, module 0,25 . 227
5.31 45° pressure angle, module 0,5 . 235
5.32 45° pressure angle, module 0,75 . 243
5.33 45° pressure angle, module 1 . 251
5.34 45° pressure angle, module 1,25 . 259
5.35 45° pressure angle, module 1,5 . 267
5.36 45° pressure angle, module 1,75 . 275
5.37 45° pressure angle, module 2 . 283
5.38 45° pressure angle, module 2,5 . 291
Annex A (informative) Inspection dimensions for span measurement . 299
Bibliography . 374
iv © ISO 2021 – All rights reserved
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.
The procedures used to develop this document and those intended for its further maintenance are
described in the ISO/IEC Directives, Part 1. In particular, the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
editorial rules of the ISO/IEC Directives, Part 2 (see www.iso.org/directives).
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. Details of any
patent rights identified during the development of the document will be in the Introduction and/or on
the ISO list of patent declarations received (see www.iso.org/patents).
Any trade name used in this document is information given for the convenience of users and does not
constitute an endorsement.
For an explanation of the voluntary nature of standards, the meaning of ISO specific terms and
expressions related to conformity assessment, as well as information about ISO's adherence to the World
Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT), see
www.iso.org/iso/foreword.html.
This document was prepared by Technical Committee ISO/TC 14 Shafts of machinery and accessories.
This second edition cancels and replaces the first edition (ISO 4156-2:2005), which has been technically
revised.
The main changes compared to the previous edition are as follows:
— ISO 4156-1 has been changed from dated to undated reference;
— ISO 4156-3 has been dated to refer to the new edition and moved to Bibliography;
— correction of descriptions of D and D ;
ie min ii min
— correction of the title for Table 32.
A list of all parts in the ISO 4156 series can be found on the ISO website.
Any feedback or questions on this document should be directed to the user’s national standards body. A
complete listing of these bodies can be found at www.iso.org/members.html.
Introduction
ISO 4156 (all parts) 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 (all parts) 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 (all parts) establishes a specification
based on the following modules:
— for pressure angles of 30° and 37,5° the module increments are:
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
vi © ISO 2021 – All rights reserved
INTERNATIONAL STANDARD ISO 4156-2:2021(E)
Straight cylindrical involute splines — Metric module,
side fit —
Part 2:
Dimensions
1 Scope
This document 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 documents are referred to in the text in such a way that some or all of their content
constitutes requirements 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, Straight cylindrical involute splines — Metric module, side fit — Part 1: Generalities
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 4156-1 apply.
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— ISO Online browsing platform: available at https://www.iso.org/obp
— IEC Electropedia: available at http://www.electropedia.org/
4 Symbols and abbreviated terms
D Pitch diameter mm
DFe max Maximum form diameter, external spline mm
D Minimum form diameter, internal spline mm
Fi min
D Diameter of measuring ball or pin for external spline mm
Re
DRi Diameter of measuring ball or pin for internal spline mm
Db Base diameter mm
D Maximum major diameter, external spline mm
ee max
D Maximum major diameter, internal spline mm
ei max
Die min Minimum minor diameter, external spline mm
D Minimum minor diameter, internal spline mm
ii min
E Maximum actual space width mm
max
Emin Minimum actual space width mm
Ev min Minimum effective space width mm
K Approximation factor for external spline —
e
K Approximation factor for internal spline —
i
k Number of measured teeth —
MRe Measurement over two balls or pins, external spline mm
M Measurement between two balls or pins, internal spline mm
Ri
Smax Maximum actual tooth thickness mm
Smin Minimum actual tooth thickness mm
S Maximum effective tooth thickness mm
v max
W Measurement over k teeth, external spline mm
z Number of teeth —
2 © ISO 2021 – All rights reserved
5 Geometry and inspection dimension
5.1 General
Geometry and inspection dimensions are given in Tables 1 to 148. Inspection dimensions for span
measurement regarding ISO 4156-3:2021, 9.2 are given in Annex A.
5.2 30 ° pressure angle, module 0,5
Table 1 — Geometry internal spline, α = 30°, m = 0,5, flat and fillet root, E = 0,785
v min
z D D D D D D E
b ei max ei max Fi min ii min max
Fillet Flat
root
4H 5H 6H 7H
6 3,00 2,598 1 4,06 3,91 3,60 2,72 0,808 0,822 0,843 0,878
7 3,50 3,031 1 4,56 4,41 4,10 3,18 0,809 0,823 0,844 0,879
8 4,00 3,464 1 5,07 4,92 4,60 3,66 0,809 0,823 0,845 0,880
9 4,50 3,897 1 5,57 5,42 5,10 4,14 0,809 0,824 0,845 0,881
10 5,00 4,330 1 6,07 5,92 5,60 4,62 0,809 0,824 0,846 0,883
11 5,50 4,763 1 6,57 6,42 6,10 5,11 0,810 0,824 0,847 0,884
12 6,00 5,196 2 7,07 6,92 6,60 5,60 0,810 0,825 0,847 0,884
13 6,50 5,629 2 7,57 7,42 7,10 6,09 0,810 0,825 0,848 0,885
14 7,00 6,062 2 8,08 7,93 7,60 6,58 0,810 0,826 0,848 0,886
15 7,50 6,495 2 8,58 8,43 8,10 7,08 0,811 0,826 0,849 0,887
16 8,00 6,928 2 9,08 8,93 8,60 7,57 0,811 0,826 0,849 0,888
17 8,50 7,361 2 9,58 9,43 9,10 8,07 0,811 0,826 0,850 0,889
18 9,00 7,794 2 10,08 9,93 9,60 8,56 0,811 0,827 0,850 0,889
19 9,50 8,227 2 10,58 10,43 10,10 9,06 0,811 0,827 0,851 0,890
20 10,00 8,660 3 11,08 10,93 10,60 9,56 0,811 0,827 0,851 0,891
21 10,50 9,093 3 11,58 11,43 11,10 10,05 0,812 0,828 0,851 0,891
22 11,00 9,526 3 12,09 11,94 11,60 10,55 0,812 0,828 0,852 0,892
23 11,50 9,959 3 12,59 12,44 12,10 11,05 0,812 0,828 0,852 0,893
24 12,00 10,392 3 13,09 12,94 12,60 11,55 0,812 0,828 0,853 0,893
25 12,50 10,825 3 13,59 13,44 13,10 12,05 0,812 0,829 0,853 0,894
26 13,00 11,258 3 14,09 13,94 13,60 12,54 0,812 0,829 0,853 0,894
27 13,50 11,691 3 14,59 14,44 14,10 13,04 0,812 0,829 0,854 0,895
28 14,00 12,124 4 15,09 14,94 14,60 13,54 0,813 0,829 0,854 0,895
29 14,50 12,557 4 15,59 15,44 15,10 14,04 0,813 0,829 0,854 0,896
30 15,00 12,990 4 16,09 15,94 15,60 14,54 0,813 0,830 0,855 0,897
31 15,50 13,423 4 16,59 16,44 16,10 15,04 0,813 0,830 0,855 0,897
32 16,00 13,856 4 17,09 16,94 16,60 15,54 0,813 0,830 0,855 0,898
33 16,50 14,289 4 17,60 17,45 17,10 16,03 0,813 0,830 0,856 0,898
34 17,00 14,722 4 18,10 17,95 17,60 16,53 0,813 0,830 0,856 0,899
35 17,50 15,155 4 18,60 18,45 18,10 17,03 0,813 0,831 0,856 0,899
36 18,00 15,588 5 19,10 18,95 18,60 17,53 0,814 0,831 0,857 0,899
37 18,50 16,021 5 19,60 19,45 19,10 18,03 0,814 0,831 0,857 0,900
38 19,00 16,454 5 20,10 19,95 19,60 18,53 0,814 0,831 0,857 0,900
39 19,50 16,887 5 20,60 20,45 20,10 19,03 0,814 0,831 0,857 0,901
40 20,00 17,320 5 21,10 20,95 20,60 19,53 0,814 0,831 0,858 0,901
41 20,50 17,753 5 21,60 21,45 21,10 20,03 0,814 0,832 0,858 0,902
42 21,00 18,186 5 22,10 21,95 21,60 20,53 0,814 0,832 0,858 0,902
43 21,50 18,619 5 22,60 22,45 22,10 21,03 0,814 0,832 0,858 0,902
44 22,00 19,052 6 23,10 22,95 22,60 21,53 0,814 0,832 0,859 0,903
45 22,50 19,485 6 23,60 23,45 23,10 22,02 0,815 0,832 0,859 0,903
46 23,00 19,918 6 24,11 23,96 23,60 22,52 0,815 0,832 0,859 0,904
47 23,50 20,351 6 24,61 24,46 24,10 23,02 0,815 0,833 0,859 0,904
48 24,00 20,784 6 25,11 24,96 24,60 23,52 0,815 0,833 0,860 0,904
49 24,50 21,217 6 25,61 25,46 25,10 24,02 0,815 0,833 0,860 0,905
50 25,00 21,650 6 26,11 25,96 25,60 24,52 0,815 0,833 0,860 0,905
Table 1 (continued)
D D D D D E
z D
b ei max ei max Fi min ii min max
Fillet Flat
root
4H 5H 6H 7H
51 25,50 22,083 6 26,61 26,46 26,10 25,02 0,815 0,833 0,860 0,906
52 26,00 22,516 7 27,11 26,96 26,60 25,52 0,815 0,833 0,861 0,906
53 26,50 22,949 7 27,61 27,46 27,10 26,02 0,815 0,834 0,861 0,906
54 27,00 23,382 7 28,11 27,96 27,60 26,52 0,815 0,834 0,861 0,907
55 27,50 23,815 7 28,61 28,46 28,10 27,02 0,815 0,834 0,861 0,907
56 28,00 24,248 7 29,11 28,96 28,60 27,52 0,816 0,834 0,861 0,907
57 28,50 24,681 7 29,61 29,46 29,10 28,02 0,816 0,834 0,862 0,908
58 29,00 25,114 7 30,11 29,96 29,60 28,52 0,816 0,834 0,862 0,908
59 29,50 25,547 7 30,61 30,46 30,10 29,02 0,816 0,834 0,862 0,908
60 30,00 25,980 8 31,11 30,96 30,60 29,52 0,816 0,834 0,862 0,909
61 30,50 26,413 8 31,61 31,46 31,10 30,02 0,816 0,835 0,863 0,909
62 31,00 26,846 8 32,12 31,97 31,60 30,52 0,816 0,835 0,863 0,909
63 31,50 27,279 8 32,62 32,47 32,10 31,02 0,816 0,835 0,863 0,910
64 32,00 27,712 8 33,12 32,97 32,60 31,52 0,816 0,835 0,863 0,910
65 32,50 28,145 8 33,62 33,47 33,10 32,02 0,816 0,835 0,863 0,910
66 33,00 28,578 8 34,12 33,97 33,60 32,52 0,816 0,835 0,863 0,911
67 33,50 29,011 9 34,62 34,47 34,10 33,02 0,816 0,835 0,864 0,911
68 34,00 29,444 9 35,12 34,97 34,60 33,52 0,817 0,835 0,864 0,911
69 34,50 29,877 9 35,62 35,47 35,10 34,02 0,817 0,836 0,864 0,912
70 35,00 30,310 9 36,12 35,97 35,60 34,52 0,817 0,836 0,864 0,912
71 35,50 30,743 9 36,62 36,47 36,10 35,02 0,817 0,836 0,864 0,912
72 36,00 31,176 9 37,12 36,97 36,60 35,52 0,817 0,836 0,865 0,912
73 36,50 31,609 9 37,62 37,47 37,10 36,02 0,817 0,836 0,865 0,913
74 37,00 32,042 9 38,12 37,97 37,60 36,51 0,817 0,836 0,865 0,913
75 37,50 32,476 0 38,62 38,47 38,10 37,01 0,817 0,836 0,865 0,913
76 38,00 32,909 0 39,12 38,97 38,60 37,51 0,817 0,836 0,865 0,914
77 38,50 33,342 0 39,62 39,47 39,10 38,01 0,817 0,837 0,866 0,914
78 39,00 33,775 0 40,12 39,97 39,60 38,51 0,817 0,837 0,866 0,914
79 39,50 34,208 0 40,62 40,47 40,10 39,01 0,817 0,837 0,866 0,914
80 40,00 34,641 0 41,12 40,97 40,60 39,51 0,817 0,837 0,866 0,915
81 40,50 35,074 0 41,63 41,48 41,10 40,01 0,817 0,837 0,866 0,915
82 41,00 35,507 0 42,13 41,98 41,60 40,51 0,818 0,837 0,866 0,915
83 41,50 35,940 1 42,63 42,48 42,10 41,01 0,818 0,837 0,867 0,916
84 42,00 36,373 1 43,13 42,98 42,60 41,51 0,818 0,837 0,867 0,916
85 42,50 36,806 1 43,63 43,48 43,10 42,01 0,818 0,837 0,867 0,916
86 43,00 37,239 1 44,13 43,98 43,60 42,51 0,818 0,838 0,867 0,916
87 43,50 37,672 1 44,63 44,48 44,10 43,01 0,818 0,838 0,867 0,917
88 44,00 38,105 1 45,13 44,98 44,60 43,51 0,818 0,838 0,867 0,917
89 44,50 38,538 1 45,63 45,48 45,10 44,01 0,818 0,838 0,868 0,917
90 45,00 38,971 1 46,13 45,98 45,60 44,51 0,818 0,838 0,868 0,917
91 45,50 39,404 2 46,63 46,48 46,10 45,01 0,818 0,838 0,868 0,918
92 46,00 39,837 2 47,13 46,98 46,60 45,51 0,818 0,838 0,868 0,918
93 46,50 40,270 2 47,63 47,48 47,10 46,01 0,818 0,838 0,868 0,918
94 47,00 40,703 2 48,13 47,98 47,60 46,51 0,818 0,838 0,868 0,918
95 47,50 41,136 2 48,63 48,48 48,10 47,01 0,818 0,838 0,869 0,919
96 48,00 41,569 2 49,13 48,98 48,60 47,51 0,818 0,839 0,869 0,919
97 48,50 42,002 2 49,63 49,48 49,10 48,01 0,819 0,839 0,869 0,919
98 49,00 42,435 2 50,13 49,98 49,60 48,51 0,819 0,839 0,869 0,919
99 49,50 42,868 3 50,63 50,48 50,10 49,01 0,819 0,839 0,869 0,920
100 50,00 43,301 3 51,13 50,98 50,60 49,51 0,819 0,839 0,869 0,920
4 © ISO 2021 – All rights reserved
Table 2 — Geometry external spline, α = 30°, m = 0,5, flat and fillet root, S = 0,785
v max
D
z D D D D D S
b
ee max Fe max ie min ie min min
Fillet root Flat
4h 5h 6h 7h
6 3,00 2,598 1 3,50 2,62 1,94 2,09 0,762 0,748 0,727 0,692
7 3,50 3,031 1 4,00 3,08 2,44 2,59 0,761 0,747 0,726 0,691
8 4,00 3,464 1 4,50 3,56 2,93 3,08 0,761 0,747 0,725 0,690
9 4,50 3,897 1 5,00 4,04 3,43 3,58 0,761 0,746 0,725 0,689
10 5,00 4,330 1 5,50 4,52 3,93 4,08 0,761 0,746 0,724 0,687
11 5,50 4,763 1 6,00 5,01 4,43 4,58 0,760 0,746 0,723 0,686
12 6,00 5,196 2 6,50 5,50 4,93 5,08 0,760 0,745 0,723 0,686
13 6,50 5,629 2 7,00 5,99 5,43 5,58 0,760 0,745 0,722 0,685
14 7,00 6,062 2 7,50 6,48 5,92 6,07 0,760 0,744 0,722 0,684
15 7,50 6,495 2 8,00 6,98 6,42 6,57 0,759 0,744 0,721 0,683
16 8,00 6,928 2 8,50 7,47 6,92 7,07 0,759 0,744 0,721 0,682
17 8,50 7,361 2 9,00 7,97 7,42 7,57 0,759 0,744 0,720 0,681
18 9,00 7,794 2 9,50 8,46 7,92 8,07 0,759 0,743 0,720 0,681
19 9,50 8,227 2 10,00 8,96 8,42 8,57 0,759 0,743 0,719 0,680
20 10,00 8,660 3 10,50 9,46 8,92 9,07 0,759 0,743 0,719 0,679
21 10,50 9,093 3 11,00 9,95 9,42 9,57 0,758 0,742 0,719 0,679
22 11,00 9,526 3 11,50 10,45 9,91 10,06 0,758 0,742 0,718 0,678
23 11,50 9,959 3 12,00 10,95 10,41 10,56 0,758 0,742 0,718 0,677
24 12,00 10,392 3 12,50 11,45 10,91 11,06 0,758 0,742 0,717 0,677
25 12,50 10,825 3 13,00 11,95 11,41 11,56 0,758 0,741 0,717 0,676
26 13,00 11,258 3 13,50 12,44 11,91 12,06 0,758 0,741 0,717 0,676
27 13,50 11,691 3 14,00 12,94 12,41 12,56 0,758 0,741 0,716 0,675
28 14,00 12,124 4 14,50 13,44 12,91 13,06 0,757 0,741 0,716 0,675
29 14,50 12,557 4 15,00 13,94 13,41 13,56 0,757 0,741 0,716 0,674
30 15,00 12,990 4 15,50 14,44 13,91 14,06 0,757 0,740 0,715 0,673
31 15,50 13,423 4 16,00 14,94 14,41 14,56 0,757 0,740 0,715 0,673
32 16,00 13,856 4 16,50 15,44 14,91 15,06 0,757 0,740 0,715 0,672
33 16,50 14,289 4 17,00 15,93 15,40 15,55 0,757 0,740 0,714 0,672
34 17,00 14,722 4 17,50 16,43 15,90 16,05 0,757 0,740 0,714 0,671
35 17,50 15,155 4 18,00 16,93 16,40 16,55 0,757 0,739 0,714 0,671
36 18,00 15,588 5 18,50 17,43 16,90 17,05 0,756 0,739 0,713 0,671
37 18,50 16,021 5 19,00 17,93 17,40 17,55 0,756 0,739 0,713 0,670
38 19,00 16,454 5 19,50 18,43 17,90 18,05 0,756 0,739 0,713 0,670
39 19,50 16,887 5 20,00 18,93 18,40 18,55 0,756 0,739 0,713 0,669
40 20,00 17,320 5 20,50 19,43 18,90 19,05 0,756 0,739 0,712 0,669
41 20,50 17,753 5 21,00 19,93 19,40 19,55 0,756 0,738 0,712 0,668
42 21,00 18,186 5 21,50 20,43 19,90 20,05 0,756 0,738 0,712 0,668
43 21,50 18,619 5 22,00 20,93 20,40 20,55 0,756 0,738 0,712 0,668
44 22,00 19,052 6 22,50 21,43 20,90 21,05 0,756 0,738 0,711 0,667
45 22,50 19,485 6 23,00 21,92 21,40 21,55 0,755 0,738 0,711 0,667
46 23,00 19,918 6 23,50 22,42 21,89 22,04 0,755 0,738 0,711 0,666
47 23,50 20,351 6 24,00 22,92 22,39 22,54 0,755 0,737 0,711 0,666
48 24,00 20,784 6 24,50 23,42 22,89 23,04 0,755 0,737 0,710 0,666
49 24,50 21,217 6 25,00 23,92 23,39 23,54 0,755 0,737 0,710 0,665
50 25,00 21,650 6 25,50 24,42 23,89 24,04 0,755 0,737 0,710 0,665
51 25,50 22,083 6 26,00 24,92 24,39 24,54 0,755 0,737 0,710 0,664
52 26,00 22,516 7 26,50 25,42 24,89 25,04 0,755 0,737 0,709 0,664
53 26,50 22,949 7 27,00 25,92 25,39 25,54 0,755 0,736 0,709 0,664
54 27,00 23,382 7 27,50 26,42 25,89 26,04 0,755 0,736 0,709 0,663
55 27,50 23,815 7 28,00 26,92 26,39 26,54 0,755 0,736 0,709 0,663
56 28,00 24,248 7 28,50 27,42 26,89 27,04 0,754 0,736 0,709 0,663
57 28,50 24,681 7 29,00 27,92 27,39 27,54 0,754 0,736 0,708 0,662
58 29,00 25,114 7 29,50 28,42 27,89 28,04 0,754 0,736 0,708 0,662
59 29,50 25,547 7 30,00 28,92 28,39 28,54 0,754 0,736 0,708 0,662
60 30,00 25,980 8 30,50 29,42 28,89 29,04 0,754 0,736 0,708 0,661
61 30,50 26,413 8 31,00 29,92 29,39 29,54 0,754 0,735 0,707 0,661
62 31,00 26,846 8 31,50 30,42 29,88 30,03 0,754 0,735 0,707 0,661
63 31,50 27,279 8 32,00 30,92 30,38 30,53 0,754 0,735 0,707 0,660
Table 2 (continued)
D D D D D S
z D
b ee max Fe max ie min ie min min
Fillet root Flat
4h 5h 6h 7h
64 32,00 27,712 8 32,50 31,42 30,88 31,03 0,754 0,735 0,707 0,660
65 32,50 28,145 8 33,00 31,92 31,38 31,53 0,754 0,735 0,707 0,660
66 33,00 28,578 8 33,50 32,42 31,88 32,03 0,754 0,735 0,707 0,659
67 33,50 29,011 9 34,00 32,92 32,38 32,53 0,754 0,735 0,706 0,659
68 34,00 29,444 9 34,50 33,42 32,88 33,03 0,753 0,735 0,706 0,659
69 34,50 29,877 9 35,00 33,92 33,38 33,53 0,753 0,734 0,706 0,658
70 35,00 30,310 9 35,50 34,42 33,88 34,03 0,753 0,734 0,706 0,658
71 35,50 30,743 9 36,00 34,92 34,38 34,53 0,753 0,734 0,706 0,658
72 36,00 31,176 9 36,50 35,42 34,88 35,03 0,753 0,734 0,705 0,658
73 36,50 31,609 9 37,00 35,92 35,38 35,53 0,753 0,734 0,705 0,657
74 37,00 32,042 9 37,50 36,41 35,88 36,03 0,753 0,734 0,705 0,657
75 37,50 32,476 0 38,00 36,91 36,38 36,53 0,753 0,734 0,705 0,657
76 38,00 32,909 0 38,50 37,41 36,88 37,03 0,753 0,734 0,705 0,656
77 38,50 33,342 0 39,00 37,91 37,38 37,53 0,753 0,733 0,704 0,656
78 39,00 33,775 0 39,50 38,41 37,88 38,03 0,753 0,733 0,704 0,656
79 39,50 34,208 0 40,00 38,91 38,38 38,53 0,753 0,733 0,704 0,656
80 40,00 34,641 0 40,50 39,41 38,88 39,03 0,753 0,733 0,704 0,655
81 40,50 35,074 0 41,00 39,91 39,37 39,52 0,753 0,733 0,704 0,655
82 41,00 35,507 0 41,50 40,41 39,87 40,02 0,752 0,733 0,704 0,655
83 41,50 35,940 1 42,00 40,91 40,37 40,52 0,752 0,733 0,703 0,654
84 42,00 36,373 1 42,50 41,41 40,87 41,02 0,752 0,733 0,703 0,654
85 42,50 36,806 1 43,00 41,91 41,37 41,52 0,752 0,733 0,703 0,654
86 43,00 37,239 1 43,50 42,41 41,87 42,02 0,752 0,732 0,703 0,654
87 43,50 37,672 1 44,00 42,91 42,37 42,52 0,752 0,732 0,703 0,653
88 44,00 38,105 1 44,50 43,41 42,87 43,02 0,752 0,732 0,703 0,653
89 44,50 38,538 1 45,00 43,91 43,37 43,52 0,752 0,732 0,702 0,653
90 45,00 38,971 1 45,50 44,41 43,87 44,02 0,752 0,732 0,702 0,653
91 45,50 39,404 2 46,00 44,91 44,37 44,52 0,752 0,732 0,702 0,652
92 46,00 39,837 2 46,50 45,41 44,87 45,02 0,752 0,732 0,702 0,652
93 46,50 40,270 2 47,00 45,91 45,37 45,52 0,752 0,732 0,702 0,652
94 47,00 40,703 2 47,50 46,41 45,87 46,02 0,752 0,732 0,702 0,652
95 47,50 41,136 2 48,00 46,91 46,37 46,52 0,752 0,732 0,701 0,651
96 48,00 41,569 2 48,50 47,41 46,87 47,02 0,752 0,731 0,701 0,651
97 48,50 42,002 2 49,00 47,91 47,37 47,52 0,751 0,731 0,701 0,651
98 49,00 42,435 2 49,50 48,41 47,87 48,02 0,751 0,731 0,701 0,651
99 49,50 42,868 3 50,00 48,91 48,37 48,52 0,751 0,731 0,701 0,650
100 50,00 43,301 3 50,50 49,41 48,87 49,02 0,751 0,731 0,701 0,650
6 © ISO 2021 – All rights reserved
Table 3 — Inspection dimensions internal spline, α = 30°, m = 0,5, flat or fillet root, E = 0,785
v min
Measurement between balls or pins, M (checking of dimensions E and E ) for
Ri min max
D K
z
Ri i
tolerance classes
4H 5H 6H 7H
min. max. min. max. min. max. min. max.
(aux.) (aux.) (aux.) (aux.)
6 — — — — — — — — — —
7 — — — — — — — — — —
8 0,85 2,752 2,791 2,767 2,830 2,788 2,882 2,821 2,960 2,079
9 0,85 3,207 3,241 3,220 3,276 3,239 3,324 3,268 3,399 1,987
10 0,85 3,780 3,813 3,793 3,846 3,810 3,894 3,838 3,969 1,974
11 0,85 4,235 4,266 4,247 4,298 4,264 4,344 4,291 4,418 1,922
12 0,85 4,793 4,823 4,805 4,855 4,821 4,901 4,848 4,975 1,917
13 0,90 5,071 5,104 5,084 5,139 5,102 5,189 5,131 5,268 2,031
14 0,90 5,623 5,655 5,636 5,689 5,653 5,739 5,682 5,817 2,011
15 0,90 6,091 6,122 6,103 6,155 6,120 6,203 6,148 6,281 1,972
16 0,90 6,634 6,665 6,646 6,698 6,663 6,746 6,691 6,823 1,960
17 0,90 7,104 7,134 7,116 7,166 7,133 7,214 7,160 7,291 1,932
18 0,90 7,642 7,672 7,654 7,704 7,670 7,751 7,697 7,828 1,924
19 0,90 8,114 8,143 8,126 8,175 8,142 8,222 8,169 8,299 1,904
20 0,90 8,648 8,677 8,659 8,709 8,676 8,756 8,702 8,832 1,898
21 0,90 9,122 9,151 9,134 9,182 9,150 9,229 9,176 9,305 1,882
22 0,90 9,652 9,681 9,664 9,712 9,680 9,759 9,707 9,836 1,878
23 0,90 10,128 10,157 10,140 10,188 10,156 10,235 10,183 10,311 1,865
24 0,90 10,656 10,684 10,667 10,716 10,684 10,762 10,710 10,839 1,862
25 0,90 11,133 11,161 11,145 11,193 11,161 11,240 11,188 11,316 1,852
26 0,90 11,659 11,687 11,670 11,718 11,687 11,765 11,713 11,842 1,849
27 0,90 12,138 12,166 12,149 12,197 12,166 12,244 12,192 12,321 1,841
28 0,90 12,661 12,689 12,673 12,721 12,689 12,768 12,716 12,844 1,839
29 0,90 13,142 13,169 13,153 13,201 13,170 13,248 13,196 13,325 1,831
30 0,90 13,663 13,691 13,675 13,723 13,692 13,770 13,718 13,847 1,830
31 0,90 14,145 14,172 14,157 14,204 14,173 14,251 14,200 14,329 1,823
32 0,90 14,665 14,693 14,677 14,724 14,694 14,772 14,720 14,849 1,822
33 0,90 15,148 15,175 15,160 15,207 15,176 15,254 15,203 15,332 1,817
34 0,90 15,667 15,694 15,679 15,726 15,695 15,773 15,722 15,851 1,815
35 0,90 16,150 16,178 16,162 16,210 16,179 16,257 16,206 16,335 1,811
36 0,90 16,668 16,696 16,680 16,728 16,697 16,775 16,724 16,853 1,810
37 0,90 17,153 17,180 17,165 17,212 17,182 17,260 17,209 17,338 1,805
38 0,90 17,670 17,697 17,682 17,729 17,699 17,777 17,726 17,855 1,805
39 0,90 18,155 18,182 18,167 18,214 18,184 18,262 18,211 18,341 1,801
40 0,90 18,671 18,698 18,683 18,730 18,700 18,778 18,727 18,857 1,800
41 0,90 19,157 19,184 19,169 19,216 19,186 19,264 19,213 19,343 1,797
42 0,90 19,672 19,699 19,684 19,731 19,701 19,779 19,729 19,859 1,796
43 0,90 20,159 20,186 20,171 20,218 20,188 20,266 20,215 20,346 1,793
44 0,90 20,673 20,700 20,685 20,732 20,703 20,781 20,730 20,861 1,793
45 0,90 21,160 21,187 21,172 21,220 21,190 21,268 21,217 21,348 1,790
46 0,90 21,674 21,701 21,686 21,734 21,704 21,782 21,732 21,862 1,789
47 0,90 22,162 22,188 22,174 22,221 22,192 22,270 22,219 22,350 1,787
48 0,90 22,675 22,702 22,687 22,734 22,705 22,783 22,733 22,864 1,786
49 0,90 23,163 23,190 23,176 23,223 23,193 23,271 23,221 23,352 1,784
50 0,90 23,676 23,703 23,688 23,735 23,706 23,784 23,734 23,865 1,784
51 0,90 24,164 24,191 24,177 24,224 24,195 24,273 24,223 24,354 1,782
52 0,90 24,677 24,703 24,689 24,736 24,707 24,785 24,735 24,867 1,781
53 0,90 25,166 25,192 25,178 25,225 25,196 25,274 25,224 25,356 1,779
54 0,90 25,677 25,704 25,690 25,737 25,708 25,786 25,736 25,868 1,779
55 0,90 26,167 26,193 26,179 26,226 26,197 26,276 26,226 26,358 1,777
56 0,90 26,678 26,705 26,691 26,738 26,709 26,787 26,738 26,869 1,777
57 0,90 27,168 27,194 27,181 27,228 27,199 27,277 27,227 27,359 1,775
58 0,90 27,679 27,705 27,692 27,739 27,710 27,788 27,739 27,871 1,775
59 0,90 28,169 28,195 28,182 28,229 28,200 28,279 28,229 28,361 1,774
60 0,90 28,679 28,706 28,692 28,739 28,711 28,789 28,740 28,872 1,773
Table 3 (continued)
Measurement between balls or pins, M (checking of dimensions E and E ) for
Ri min max
D K
z
Ri i
tolerance classes
4H 5H 6H 7H
min. max. min. max. min. max. min. max.
(aux.) (aux.) (aux.) (aux.)
61 0,90 29,170 29,196 29,183 29,230 29,201 29,280 29,230 29,363 1,772
62 0,90 29,680 29,707 29,693 29,740 29,712 29,790 29,741 29,873 1,772
63 0,90 30,171 30,197 30,184 30,231 30,202 30,281 30,231 30,364 1,770
64 0,90 30,681 30,707 30,694 30,741 30,712 30,791 30,742 30,874 1,770
65 0,90 31,171 31,198 31,185 31,232 31,203 31,282 31,233 31,366 1,769
66 0,90 31,681 31,708 31,694 31,741 31,713 31,792 31,743 31,876 1,769
67 0,90 32,172 32,199 32,186 32,233 32,204 32,283 32,234 32,367 1,768
68 0,90 32,682 32,708 32,695 32,742 32,714 32,793 32,744 32,877 1,768
69 0,90 33,173 33,199 33,186 33,233 33,205 33,284 33,235 33,368 1,766
70 0,90 33,682 33,709 33,696 33,743 33,715 33,794 33,744 33,878 1,766
71 0,90 34,174 34,200 34,187 34,234 34,206 34,285 34,236 34,370 1,765
72 0,90 34,683 34,709 34,696 34,743 34,715 34,794 34,745 34,879 1,765
73 0,90 35,175 35,201 35,188 35,235 35,207 35,286 35,237 35,371 1,764
74 0,90 35,683 35,709 35,697 35,744 35,716 35,795 35,746 35,880 1,764
75 0,90 36,175 36,202 36,189 36,236 36,208 36,287 36,238 36,372 1,763
76 0,90 36,684 36,710 36,697 36,744 36,717 36,796 36,747 36,881 1,763
77 0,90 37,176 37,202 37,190 37,237 37,209 37,288 37,240 37,374 1,762
78 0,90 37,684 37,710 37,698 37,745 37,717 37,797 37,748 37,882 1,762
79 0,90 38,177 38,203 38,190 38,237 38,210 38,289 38,241 38,375 1,761
80 0,90 38,684 38,711 38,698 38,745 38,718 38,797 38,749 38,883 1,761
81 0,90 39,177 39,203 39,191 39,238 39,211 39,290 39,242 39,376 1,760
82 0,90 39,685 39,711 39,699 39,746 39,719 39,798 39,750 39,884 1,760
83 0,90 40,178 40,204 40,192 40,239 40,212 40,291 40,243 40,377 1,760
84 0,90 40,685 40,711 40,699 40,746 40,719 40,799 40,750 40,885 1,759
85 0,90 41,178 41,204 41,192 41,239 41,212 41,292 41,244 41,379 1,759
86 0,90 41,686 41,712 41,700 41,747 41,720 41,799 41,751 41,886 1,759
87 0,90 42,179 42,205 42,193 42,240 42,213 42,293 42,244 42,380 1,758
88 0,90 42,686 42,712 42,700 42,747 42,720 42,800 42,752 42,887 1,758
89 0,90 43,179 43,206 43,194 43,241 43,214 43,293 43,245 43,381 1,757
90 0,90 43,686 43,713 43,701 43,748 43,721 43,801 43,753 43,888 1,757
91 0,90 44,180 44,206 44,194 44,241 44,215 44,294 44,246 44,382 1,757
92 0,90 44,687 44,713 44,701 44,748 44,722 44,801 44,753 44,889 1,757
93 0,90 45,180 45,207 45,195 45,242 45,215 45,295 45,247 45,383 1,756
94 0,90 45,687 45,713 45,702 45,749 45,722 45,802 45,754 45,890 1,756
95 0,90 46,181 46,207 46,196 46,243 46,216 46,296 46,248 46,384 1,755
96 0,90 46,688 46,714 46,702 46,749 46,723 46,802 46,755 46,891 1,755
97 0,90 47,181 47,207 47,196 47,243 47,217 47,296 47,249 47,385 1,755
98 0,90 47,688 47,714 47,703 47,750 47,723 47,803 47,756 47,892 1,755
99 0,90 48,182 48,208 48,197 48,244 48,217 48,297 48,250 48,386 1,754
100 0,90 48,688 48,714 48,703 48,750 48,724 48,804 48,756 48,893 1,754
8 © ISO 2021 – All rights reserved
Table 4 — Inspection dimensions external spline, α = 30°, m = 0,5, flat or fillet root, S = 0,785
v max
Measurement over balls or pins, M (checking of dimensions S and S ) for tolerance
Re min max
z D K
Re e
classes
4h 5h 6h 7h
min. max. min. max. min. max. min. max.
(aux.) (aux.) (aux.) (aux.)
6 1,12 4,797 4,813 4,780 4,807 4,754 4,798 4,711 4,784 1,255
7 1,12 5,204 5,220 5,187 5,214 5,161 5,206 5,117 5,191 1,254
8 1,06 5,670 5,687 5,651 5,681 5,622 5,671 5,575 5,655 1,350
9 1,06 6,099 6,117 6,080 6,110 6,051 6,101 6,003 6,085 1,354
10 1,06 6,683 6,701 6,663 6,694 6,633 6,684 6,582 6,668 1,395
11 1,00 6,970 6,989 6,950 6,982 6,918 6,972 6,866 6,955 1,441
12 1,00 7,535 7,555 7,514 7,547 7,482 7,537 7,427 7,519 1,471
13 1,00 7,987 8,007 7,965 7,999 7,933 7,988 7,878 7,970 1,475
14 1,00 8,541 8,561 8,519 8,554 8,485 8,542 8,429 8,524 1,498
15 1,00 8,999 9,020 8,977 9,012 8,943 9,001 8,886 8,982 1,501
16 1,00 9,546 9,566 9,523 9,558 9,488 9,547 9,430 9,528 1,520
17 1,00 10,009 10,030 9,986 10,022 9,951 10,010 9,892 9,991 1,523
18 1,00 10,549 10,571 10,526 10,562 10,490 10,550 10,431 10,531 1,538
19 1,00 11,017 11,038 10,993 11,029 10,957 11,017 10,897 10,998 1,541
20 1,00 11,552 11,574 11,528 11,565 11,492 11,553 11,431 11,533 1,554
21 0,95 11,884 11,906 11,860 11,898 11,822 11,885 11,760 11,864 1,587
22 0,95 12,416 12,438 12,391 12,429 12,353 12,416 12,289 12,396 1,597
23 0,95 12,889 12,911 12,864 12,902 12,826 12,889 12,761 12,868 1,598
24 0,95 13,417 13,440 13,392 13,431 13,353 13,418 13,289 13,396 1,607
25 0,95 13,892 13,915 13,867 13,906 13,828 13,892 13,763 13,871 1,608
26 0,95 14,419 14,441 14,393 14,432 14,354 14,419 14,288 14,397 1,615
27 0,95 14,896 14,918 14,869 14,909 14,830 14,895 14,764 14,874 1,616
28 0,95 15,420 15,442 15,393 15,433 15,354 15,419 15,287 15,397 1,623
29 0,95 15,898 15,921 15,872 15,911 15,832 15,898 15,764 15,876 1,624
30 0,95 16,420 16,443 16,394 16,434 16,353 16,420 16,286 16,398 1,629
31 0,95 16,900 16,923 16,873 16,914 16,833 16,900 16,765 16,877 1,630
32 0,95 17,421 17,444 17,394 17,434 17,353 17,420 17,285 17,398 1,635
33 0,95 17,902 17,926 17,875 17,916 17,834 17,901 17,765 17,879 1,636
34 0,95 18,422 18,445 18,394 18,435 18,353 18,421 18,284 18,398 1,641
35 0,95 18,904 18,927 18,876 18,917 18,835 18,903 18,765 18,880 1,642
36 0,95 19,422 19,446 19,395 19,436 19,353 19,421 19,283 19,398 1,646
37 0,95 19,906 19,929 19,878 19,919 19,836 19,904 19,765 19,881 1,646
38 0,95 20,423 20,446 20,395 20,436 20,353 20,421 20,281 20,398 1,650
39 0,95 20,907 20,930 20,879 20,920 20,836 20,905 20,765 20,881 1,651
40 0,95 21,423 21,447 21,395 21,436 21,352 21,421 21,280 21,397 1,654
41 0,95 21,908 21,932 21,880 21,921 21,837 21,906 21,765 21,882 1,655
42 0,95 22,424 22,447 22,395 22,437 22,352 22,422 22,279 22,397 1,658
43 0,95 22,909 22,933 22,880 22,922 22,837 22,907 22,764 22,882 1,658
44 0,95 23,424 23,448 23,395 23,437 23,351 23,422 23,278 23,397 1,661
45 0,95 23,910 23,934 23,881 23,923 23,837 23,908 23,764 23,883 1,661
46 0,95 24,424 24,448 24,395 24,437 24,351 24,422 24,277 24,397 1,664
47 0,95 24,911 24,935 24,882 24,924 24,838 24,908 24,764 24,883 1,664
48 0,95 25,424 25,448 25,395 25,437 25,351 25,422 25,276 25,396 1,667
49 0,95 25,912 25,936 25,882 25,925 25,838 25,909 25,763 25,883 1,667
50 0,95 26,425 26,449 26,395 26,437 26,350 26,421 26,275 26,396 1,669
51 0,95 26,912 26,936 26,883 26,925 26,838 26,909 26,763 26,884 1,670
52 0,95 27,425 27,449 27,395 27,437 27,350 27,421 27,274 27,396 1,672
53 0,95 27,913 27,937 27,883 27,926 27,838 27,909 27,762 27,884 1,672
54 0,95 28,425 28,449 28,395 28,438 28,349 28,421 28,273 28,395 1,674
55 0,95 28,914 28,938 28,883 28,926 28,838 28,910 28,761 28,884 1,674
56 0,95 29,425 29,449 29,395 29,438 29,349 29,421 29,272 29,395 1,676
57 0,95 29,914 29,938 29,884 29,927 29,838 29,910 29,761 29,884 1,676
58 0,95 30,425 30,449 30,395 30,438 30,348 30,421 30,271 30,395 1,678
59 0,95 30,914 30,939 30,884 30,927 30,838 30,910 30,760 30,884 1,678
60 0,95 31,425 31,449 31,394 31,438 31,348 31,421 31,270 31,394 1,680
Table 4 (continued)
Measurement over balls or pins, M (checking of dimensions S and S ) for tolerance
Re min max
z D K
Re e
classes
4h 5h 6h 7h
min. max. min. max. min. max. min. max.
(aux.) (aux.) (aux.) (aux.)
61 0,95 31,915 31,939 31,884 31,927 31,838 31,910 31,760 31,884 1,680
62 0,95 32,425 32,450 32,394 32,438 32,348 32,421 32,269 32,394 1,682
63 0,95 32,915 32,940 32,884 32,928 32,837 32,911 32,759 32,884 1,682
64 0,95 33,425 33,450 33,394 33,438 33,347 33,420 33,269 33,393 1,683
65 0,95 33,916 33,940 33,884 33,928 33,837 33,911 33,758 33,883 1,684
66 0,95 34,425 34,450 34,394 34,437 34,347 34,420 34,268 34,393 1,685
67 0,95 34,916 34,940 34,884 34,928 34,837 34,911 34,758 34,883 1,685
68 0,95 35,425 35,450 35,394 35,437 35,346 35,420 35,267 35,392 1,686
69 0,95 35,916 35,941 35,885 35,928 35,837 35,911 35,757 35,883 1,686
70 0,95 36,425 36,450 36,394 36,437 36,346 36,420 36,266 36,392 1,688
71 0,95 36,916 36,941 36,885 36,928 36,837 36,911 36,757 36,883 1,688
72 0,95 37,425 37,450 37,393 37,437 37,345 37,419 37,265 37,391 1,689
73 0,95 37,917 37,941 37,885 37,929 37,837 37,911 37,756 37,883 1,689
74 0,95 38,425 38,450 38,393 38,437 38,345 38,419 38,264 38,391 1,690
75 0,95 38,917 38,941 38,885 38,929 38,836 38,911 38,755 38,882 1,690
76 0,95 39,425 39,450 39,393 39,437 39,344 39,419 39,263 39,390 1,691
77 0,95 39,917 39,942 39,885 39,929 39,836 39,911 39,755 39,882 1,691
78 0,95 40,425 40,450 40,393 40,437 40,344 40,419 40,262 40,390 1,692
79 0,95 40,917 40,942 40,885 40,929 40,836 40,911 40,754 40,882 1,693
80 0,95 41,425 41,450 41,393 41,437 41,344 41,418 41,261 41,389 1,693
81 0,95 41,917 41,942 41,885 41,929 41,836 41,911 41,753 41,882 1,694
82 0,95 42,425 42,450 42,392 42,437 42,343 42,418 42,261 42,389 1,694
83 0,95 42,918 42,942 42,885 42,929 42,835 42,910 42,753 42,881 1,695
84 0,95 43,425 43,450 43,392 43,436 43,343 43,418 43,260 43,389 1,695
85 0,95 43,918 43,942 43,885 43,929 43,835 43,910 43,752 43,881 1,696
86 0,95 44,425 44,450 44,392 44,436 44,342 44,418 44,259 44,388 1,696
87 0,95 44,918 44,942 44,885 44,929 44,835 44,910 44,751 44,881 1,696
88 0,95 45,425 45,450 45,392 45,436 45,342 45,417 45,258 45,388 1,697
89 0,95 45,918 45,943 45,885 45,929 45,835 45,910 45,751 45,880 1,697
90 0,95 46,425 46,450 46,392 46,436 46,341 46,417 46,257 46,387 1,698
91 0,95 46,918 46,943 46,885 46,929 46,834 46,910 46,750 46,880 1,698
92 0,95 47,425 47,450 47,391 47,436 47,341 47,417 47,256 47,387 1,699
93 0,95 47,918 47,943 47,885 47,929 47,834 47,910 47,749 47,880 1,699
94 0,95 48,425 48,449 48,391 48,436 48,340 48,416 48,256 48,386 1,700
95 0,95 48,918 48,943 48,884 48,929 48,834 48,910 48,749 48,879 1,700
96 0,95 49,425 49,449 49,391 49,436 49,340 49,416 49,255 49,386 1,700
97 0,95 49,918 49,943 49,884 49,929 49,833 49,910 49,748 49,879 1,700
98 0,95 50,425 50,449 50,391 50,435 50,340 50,416 50,254 50,385 1,701
99 0,95 50,918 50,943 50,884 50,929 50,833 50,909 50,747 50,879 1,701
100 0,95 51,425 51,449 51,390 51,435 51,339 51,415 51,253 51,385 1,702
10 © ISO 2021 – All rights reserved
5.3 30° pressure angle, module 0,75
Table 5 — Geometry internal spline, α = 30°, m = 0,75, flat and fillet root, E = 1,178
v min
D D D D D E
z D
b ei max ei max Fi min ii min max
Fillet Flat
root
4H 5H 6H 7H
6 4,50 3,897 1 6,03 5,81 5,40 4,07 1,205 1,220 1,244 1,284
7 5,25 4,546 6 6,79 6,56 6,15 4,77 1,205 1,221 1,245 1,286
8 6,00 5,196 2 7,54 7,31 6,90 5,48 1,205 1,222 1,246 1,287
9 6,75 5,845 7 8,29 8,07 7,65 6,20 1,206 1,222 1,247 1,289
10 7,50 6,495 2 9,04 8,82 8,40 6,93 1,206 1,223 1,248 1,290
11 8,25 7,144 7 9,80 9,57 9,15 7,66 1,206 1,223 1,249 1,291
12 9,00 7,794 2 10,55 10,32 9,90 8,40 1,207 1,224 1,249 1,292
13 9,75 8,443 7 11,30 11,07 10,65 9,14 1,207 1,224 1,250 1,293
14 10,50 9,093 3 12,05 11,83 11,40 9,88 1,207 1,224 1,251 1,294
15 11,25 9,742 8 12,80 12,58 12,15 10,62 1,207 1,225 1,251 1,295
16 12,00 10,392 3 13,55 13,33 12,90 11,36 1,207 1,225 1,252 1,296
17 12,75 11,041 8 14,31 14,08 13,65 12,10 1,208 1,226 1,252 1,297
18 13,50 11,691 3 15,06 14,83 14,40 12,85 1,208 1,226 1,253 1,298
19 14,25 12,340 9 15,81 15,58 15,15 13,59 1,208 1,226 1,253 1,298
20 15,00 12,990 4 16,56 16,33 15,90 14,34 1,208 1,226 1,254 1,299
21 15,75 13,639 9 17,31 17,09 16,65 15,08 1,208 1,227 1,254 1,300
22 16,50 14,289 4 18,06 17,84 17,40 15,83 1,209 1,227 1,255 1,301
23 17,25 14,938 9 18,81 18,59 18,15 16,57 1,209 1,227 1,255 1,301
...
NORME ISO
INTERNATIONALE 4156-2
Deuxième édition
2021-02
Cannelures cylindriques droites à
flancs en développante — Module
métrique, à centrage sur flancs —
Partie 2:
Dimensions
Straight cylindrical involute splines — Metric module, side fit —
Part 2: Dimensions
Numéro de référence
©
ISO 2021
DOCUMENT PROTÉGÉ PAR COPYRIGHT
© ISO 2021
Tous droits réservés. Sauf prescription différente ou nécessité dans le contexte de sa mise en œuvre, aucune partie de cette
publication ne peut être reproduite ni utilisée sous quelque forme que ce soit et par aucun procédé, électronique ou mécanique,
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Publié en Suisse
ii © ISO 2021 – Tous droits réservés
Sommaire Page
Avant-propos . v
Introduction . vi
1 Domaine d'application .1
2 Références normatives .1
3 Termes et définitions .1
4 Symboles et termes abrégés .2
5 Dimensions et cotes de vérification .2
Généralités .2
Angle de pression 30°, module 0,5 .3
Angle de pression 30°, module 0,75 . 11
Angle de pression 30°, module 1 . 19
Angle de pression 30°, module 1,25 . 27
Angle de pression 30°, module 1,5 . 35
Angle de pression 30°, module 1,75 . 43
Angle de pression 30°, module 2 . 51
Angle de pression 30°, module 2,5 . 59
Angle de pression 30°, module 3 . 67
Angle de pression 30°, module 4 . 75
Angle de pression 30°, module 5 . 83
Angle de pression 30°, module 6 . 91
Angle de pression 30°, module 8 . 99
Angle de pression 30°, module 10 . 107
Angle de pression 37,5°, module 0,5 . 115
Angle de pression 37,5°, module 0,75 . 123
Angle de pression 37,5°, module 1 . 131
Angle de pression 37,5°, module 1,25 . 139
Angle de pression 37,5°, module 1,5 . 147
Angle de pression 37,5°, module 1,75 . 155
Angle de pression 37,5°, module 2 . 163
Angle de pression 37,5°, module 2,5 . 171
Angle de pression 37,5°, module 3 . 179
Angle de pression 37,5°, module 4 . 187
Angle de pression 37,5°, module 5 . 195
Angle de pression 37,5°, module 6 . 203
Angle de pression 37,5°, module 8 . 211
Angle de pression 37,5, module 10 . 219
Angle de pression 45°, module 0,25 . 227
Angle de pression 45°, module 0,5 . 235
Angle de pression 45°, module 0,75 . 243
Angle de pression 45°, module 1 . 251
Angle de pression 45°, module 1,25 . 259
Angle de pression 45°, module 1,5 . 267
Angle de pression 45°, module 1,75 . 275
Angle de pression 45°, module 2 . 283
Angle de pression 45°, module 2,5 . 291
(informative) Cote de vérification par la mesure sur k dents . 299
iii
Bibliographie . 374
iv
Avant-propos
L'ISO (Organisation internationale de normalisation) est une fédération mondiale d'organismes
nationaux de normalisation (comités membres de l'ISO). L'élaboration des Normes internationales est en
général confiée aux comités techniques de l'ISO. Chaque comité membre intéressé par une étude a le droit
de faire partie du comité technique créé à cet effet. Les organisations internationales, gouvernementales
et non gouvernementales, en liaison avec l'ISO participent également aux travaux. L'ISO collabore
étroitement avec la Commission électrotechnique internationale (IEC) en ce qui concerne la
normalisation électrotechnique.
Les procédures utilisées pour élaborer le présent document et celles destinées à sa mise à jour sont
décrites dans les Directives ISO/IEC, Partie 1. Il convient, en particulier, de prendre note des différents
critères d'approbation requis pour les différents types de documents ISO. Le présent document a été
rédigé conformément aux règles de rédaction données dans les Directives ISO/IEC, Partie 2 (voir
www.iso.org/directives).
L'attention est attirée sur le fait que certains des éléments du présent document peuvent faire l'objet de
droits de propriété intellectuelle ou de droits analogues. L'ISO ne saurait être tenue pour responsable de
ne pas avoir identifié de tels droits de propriété et averti de leur existence. Les détails concernant les
références aux droits de propriété intellectuelle ou autres droits analogues identifiés lors de l'élaboration
du document sont indiqués dans l'Introduction et/ou dans la liste des déclarations de brevets reçues par
l'ISO (voir www.iso.org/brevets).
Les appellations commerciales éventuellement mentionnées dans le présent document sont données
pour information, par souci de commodité, à l’intention des utilisateurs et ne sauraient constituer un
engagement.
Pour une explication de la nature volontaire des normes, la signification des termes et expressions
spécifiques de l'ISO liés à l'évaluation de la conformité, ou pour toute information au sujet de l'adhésion
de l'ISO aux principes de l’Organisation mondiale du commerce (OMC) concernant les obstacles
techniques au commerce (OTC), voir www.iso.org/avant-propos.
Le présent document a été élaboré par le comité technique ISO/TC 14, Arbres pour machines et
accessoires.
Cette deuxième édition annule et remplace la première édition (ISO 4156-2:2005), qui a fait l’objet d’une
révision technique.
Les principales modifications par rapport à l’édition précédente sont les suivantes:
les références à l’ISO 4156-1 ne sont plus datées;
la référence à la nouvelle édition de l’ISO 4156-3 est datée et a été ajoutée en Bibliographie;
les descriptions de D et D ont été corrigées;
ie min ii min
le titre du Tableau 32 a été corrigé.
Une liste de toutes les parties de la série ISO 4156 se trouve sur le site Web de l’ISO.
Il convient que l’utilisateur adresse tout retour d’information ou toute question concernant le présent
document à l’organisme national de normalisation de son pays. Une liste exhaustive desdits organismes
se trouve à l’adresse www.iso.org/fr/members.html.
v
Introduction
L’ISO 4156 (série) fournit les données et indications nécessaires à la conception, à la fabrication et à la
vérification des cannelures cylindriques droites (non hélicoïdales) à flancs en développante et centrage
sur flancs.
Les cannelures cylindriques droites à flancs en développante fabriquées conformément à l’ISO 4156
(série) sont utilisées pour le jeu, le coulissement et serrage des arbres et des moyeux. Elles disposent de
toutes les caractéristiques nécessaires à l’assemblage, la transmission du couple et à une production
économique.
Les angles de pression nominaux sont 30°, 37,5° et 45°. Pour les besoins du traitement électronique des
données, la valeur 37° 30’ a été remplacée par 37,5°. L’ISO 4156 (série) fixe des spécifications basées sur
les modules suivants:
pour des angles de pression de 30° et 37,5°, les incréments de modules sont:
0,5; 0,75; 1; 1,25; 1,5; 1,75; 2; 2,5; 3; 4; 5; 6; 8; 10;
pour un angle de pression de 45°, les incréments de modules sont:
0,25; 0,5; 0,75; 1; 1,25; 1,5; 1,75; 2; 2,5
vi
NORME INTERNATIONALE ISO 4156-2:2021(F)
Cannelures cylindriques droites à flancs en développante —
Module métrique, à centrage sur flancs —
Partie 2:
Dimensions
1 Domaine d'application
Le présent document spécifie les dimensions géométriques et les cotes de vérification nécessaires à la
conception et à la fabrication des cannelures cylindriques droites (non hélicoïdales) à flancs en
développante et centrage sur flancs.
Les cotes limites, les tolérances, les écarts de fabrication et leurs effets sur l'ajustement entre des
éléments d'accouplement coaxiaux d'une cannelure sont définis et donnés dans des tableaux. Les
dimensions linéaires sont exprimées en millimètres et celles des angles en degrés.
Les diamètres spécifiés pour les cannelures externes dans les tableaux des dimensions géométriques et
les valeurs dans les tableaux des cotes de vérification sont valables uniquement pour l'écart fondamental
«h».
Pour les écarts fondamentaux autres que «h», les diamètres et les épaisseurs des cannelures externes
sont à calculer conformément aux formules de l'ISO 4156-1 et les cotes de vérification conformément aux
formules de l'ISO 4156-3.
2 Références normatives
Les documents suivants sont cités dans le texte de sorte qu’ils constituent, pour tout ou partie de leur
contenu, des exigences du présent document. Pour les références datées, seule l’édition citée s’applique.
Pour les références non datées, la dernière édition du document de référence s'applique (y compris les
éventuels amendements).
ISO 4156-1, Cannelures cylindriques droites à flancs en développante — Module métrique, à centrage sur
flancs — Partie 1: Généralités
3 Termes et définitions
Pour les besoins du présent document, les termes et définitions donnés dans l'ISO 4156-1 s'appliquent.
L'ISO et l'IEC tiennent à jour des bases de données terminologiques destinées à être utilisées en
normalisation, consultables aux adresses suivantes:
— IEC Electropedia: disponible à l'adresse http://www.electropedia.org/
— ISO Online browsing platform: disponible à l'adresse http://www.iso.org/obp
4 Symboles et termes abrégés
D Diamètre primitif mm
DFe max Diamètre de forme maximal, cannelure externe mm
D Diamètre de forme minimal, cannelure interne mm
Fi min
D Diamètre de la pige de mesure pour cannelure externe mm
Re
DRi Diamètre de la pige de mesure pour cannelure interne mm
Db Diamètre de base mm
D Diamètre majeur maximal, cannelure externe mm
ee max
D Diamètre majeur maximal, cannelure interne mm
ei max
Die min Diamètre mineur minimal, cannelure externe mm
D Diamètre mineur minimal, cannelure interne mm
ii min
E Intervalle circulaire réel maximal mm
max
Emin Intervalle circulaire réel minimal mm
Ev min Intervalle effectif minimal mm
K Facteur d'approximation pour cannelure externe —
e
K Facteur d'approximation pour cannelure interne —
i
k Nombre de dents mesurées —
MRe Mesure sur deux billes ou piges, cannelure externe mm
M Mesure entre deux billes ou piges, cannelure interne mm
Ri
Smax Épaisseur circulaire réelle maximale mm
Smin Épaisseur circulaire réelle minimale mm
S Épaisseur effective maximale mm
v max
W Mesure sur k dents, cannelure externe mm
z Nombre de dents —
5 Dimensions et cotes de vérification
Généralités
Les dimensions et cotes de vérification sont données dans les Tableaux 1 à 148. Les cotes de vérification
par la mesure sur k dents concernant l’ISO 4156-3:2021, 9.2 sont données à l’Annexe A.
Angle de pression 30°, module 0,5
Tableau 1 — Dimensions cannelure interne, α = 30°, m = 0,5, fond plat et plein rayon, E = 0,785
v min
D D D D D E
z D
b ei max ei max Fi min ii min max
Plein Fond
rayon plat
4H 5H 6H 7H
6 3,00 2,598 1 4,06 3,91 3,60 2,72 0,808 0,822 0,843 0,878
7 3,50 3,031 1 4,56 4,41 4,10 3,18 0,809 0,823 0,844 0,879
8 4,00 3,464 1 5,07 4,92 4,60 3,66 0,809 0,823 0,845 0,880
9 4,50 3,897 1 5,57 5,42 5,10 4,14 0,809 0,824 0,845 0,881
10 5,00 4,330 1 6,07 5,92 5,60 4,62 0,809 0,824 0,846 0,883
11 5,50 4,763 1 6,57 6,42 6,10 5,11 0,810 0,824 0,847 0,884
12 6,00 5,196 2 7,07 6,92 6,60 5,60 0,810 0,825 0,847 0,884
13 6,50 5,629 2 7,57 7,42 7,10 6,09 0,810 0,825 0,848 0,885
14 7,00 6,062 2 8,08 7,93 7,60 6,58 0,810 0,826 0,848 0,886
15 7,50 6,495 2 8,58 8,43 8,10 7,08 0,811 0,826 0,849 0,887
16 8,00 6,928 2 9,08 8,93 8,60 7,57 0,811 0,826 0,849 0,888
17 8,50 7,361 2 9,58 9,43 9,10 8,07 0,811 0,826 0,850 0,889
18 9,00 7,794 2 10,08 9,93 9,60 8,56 0,811 0,827 0,850 0,889
19 9,50 8,227 2 10,58 10,43 10,10 9,06 0,811 0,827 0,851 0,890
20 10,00 8,660 3 11,08 10,93 10,60 9,56 0,811 0,827 0,851 0,891
21 10,50 9,093 3 11,58 11,43 11,10 10,05 0,812 0,828 0,851 0,891
22 11,00 9,526 3 12,09 11,94 11,60 10,55 0,812 0,828 0,852 0,892
23 11,50 9,959 3 12,59 12,44 12,10 11,05 0,812 0,828 0,852 0,893
24 12,00 10,392 3 13,09 12,94 12,60 11,55 0,812 0,828 0,853 0,893
25 12,50 10,825 3 13,59 13,44 13,10 12,05 0,812 0,829 0,853 0,894
26 13,00 11,258 3 14,09 13,94 13,60 12,54 0,812 0,829 0,853 0,894
27 13,50 11,691 3 14,59 14,44 14,10 13,04 0,812 0,829 0,854 0,895
28 14,00 12,124 4 15,09 14,94 14,60 13,54 0,813 0,829 0,854 0,895
29 14,50 12,557 4 15,59 15,44 15,10 14,04 0,813 0,829 0,854 0,896
30 15,00 12,990 4 16,09 15,94 15,60 14,54 0,813 0,830 0,855 0,897
31 15,50 13,423 4 16,59 16,44 16,10 15,04 0,813 0,830 0,855 0,897
32 16,00 13,856 4 17,09 16,94 16,60 15,54 0,813 0,830 0,855 0,898
33 16,50 14,289 4 17,60 17,45 17,10 16,03 0,813 0,830 0,856 0,898
34 17,00 14,722 4 18,10 17,95 17,60 16,53 0,813 0,830 0,856 0,899
35 17,50 15,155 4 18,60 18,45 18,10 17,03 0,813 0,831 0,856 0,899
36 18,00 15,588 5 19,10 18,95 18,60 17,53 0,814 0,831 0,857 0,899
37 18,50 16,021 5 19,60 19,45 19,10 18,03 0,814 0,831 0,857 0,900
38 19,00 16,454 5 20,10 19,95 19,60 18,53 0,814 0,831 0,857 0,900
39 19,50 16,887 5 20,60 20,45 20,10 19,03 0,814 0,831 0,857 0,901
40 20,00 17,320 5 21,10 20,95 20,60 19,53 0,814 0,831 0,858 0,901
41 20,50 17,753 5 21,60 21,45 21,10 20,03 0,814 0,832 0,858 0,902
42 21,00 18,186 5 22,10 21,95 21,60 20,53 0,814 0,832 0,858 0,902
43 21,50 18,619 5 22,60 22,45 22,10 21,03 0,814 0,832 0,858 0,902
44 22,00 19,052 6 23,10 22,95 22,60 21,53 0,814 0,832 0,859 0,903
45 22,50 19,485 6 23,60 23,45 23,10 22,02 0,815 0,832 0,859 0,903
46 23,00 19,918 6 24,11 23,96 23,60 22,52 0,815 0,832 0,859 0,904
47 23,50 20,351 6 24,61 24,46 24,10 23,02 0,815 0,833 0,859 0,904
48 24,00 20,784 6 25,11 24,96 24,60 23,52 0,815 0,833 0,860 0,904
49 24,50 21,217 6 25,61 25,46 25,10 24,02 0,815 0,833 0,860 0,905
50 25,00 21,650 6 26,11 25,96 25,60 24,52 0,815 0,833 0,860 0,905
51 25,50 22,083 6 26,61 26,46 26,10 25,02 0,815 0,833 0,860 0,906
52 26,00 22,516 7 27,11 26,96 26,60 25,52 0,815 0,833 0,861 0,906
53 26,50 22,949 7 27,61 27,46 27,10 26,02 0,815 0,834 0,861 0,906
54 27,00 23,382 7 28,11 27,96 27,60 26,52 0,815 0,834 0,861 0,907
55 27,50 23,815 7 28,61 28,46 28,10 27,02 0,815 0,834 0,861 0,907
56 28,00 24,248 7 29,11 28,96 28,60 27,52 0,816 0,834 0,861 0,907
57 28,50 24,681 7 29,61 29,46 29,10 28,02 0,816 0,834 0,862 0,908
58 29,00 25,114 7 30,11 29,96 29,60 28,52 0,816 0,834 0,862 0,908
59 29,50 25,547 7 30,61 30,46 30,10 29,02 0,816 0,834 0,862 0,908
Tableau 1 (suite)
D D D D D E
z D
b ei max ei max Fi min ii min max
Plein Fond
rayon plat
4H 5H 6H 7H
60 30,00 25,980 8 31,11 30,96 30,60 29,52 0,816 0,834 0,862 0,909
61 30,50 26,413 8 31,61 31,46 31,10 30,02 0,816 0,835 0,863 0,909
62 31,00 26,846 8 32,12 31,97 31,60 30,52 0,816 0,835 0,863 0,909
63 31,50 27,279 8 32,62 32,47 32,10 31,02 0,816 0,835 0,863 0,910
64 32,00 27,712 8 33,12 32,97 32,60 31,52 0,816 0,835 0,863 0,910
65 32,50 28,145 8 33,62 33,47 33,10 32,02 0,816 0,835 0,863 0,910
66 33,00 28,578 8 34,12 33,97 33,60 32,52 0,816 0,835 0,863 0,911
67 33,50 29,011 9 34,62 34,47 34,10 33,02 0,816 0,835 0,864 0,911
68 34,00 29,444 9 35,12 34,97 34,60 33,52 0,817 0,835 0,864 0,911
69 34,50 29,877 9 35,62 35,47 35,10 34,02 0,817 0,836 0,864 0,912
70 35,00 30,310 9 36,12 35,97 35,60 34,52 0,817 0,836 0,864 0,912
71 35,50 30,743 9 36,62 36,47 36,10 35,02 0,817 0,836 0,864 0,912
72 36,00 31,176 9 37,12 36,97 36,60 35,52 0,817 0,836 0,865 0,912
73 36,50 31,609 9 37,62 37,47 37,10 36,02 0,817 0,836 0,865 0,913
74 37,00 32,042 9 38,12 37,97 37,60 36,51 0,817 0,836 0,865 0,913
75 37,50 32,476 0 38,62 38,47 38,10 37,01 0,817 0,836 0,865 0,913
76 38,00 32,909 0 39,12 38,97 38,60 37,51 0,817 0,836 0,865 0,914
77 38,50 33,342 0 39,62 39,47 39,10 38,01 0,817 0,837 0,866 0,914
78 39,00 33,775 0 40,12 39,97 39,60 38,51 0,817 0,837 0,866 0,914
79 39,50 34,208 0 40,62 40,47 40,10 39,01 0,817 0,837 0,866 0,914
80 40,00 34,641 0 41,12 40,97 40,60 39,51 0,817 0,837 0,866 0,915
81 40,50 35,074 0 41,63 41,48 41,10 40,01 0,817 0,837 0,866 0,915
82 41,00 35,507 0 42,13 41,98 41,60 40,51 0,818 0,837 0,866 0,915
83 41,50 35,940 1 42,63 42,48 42,10 41,01 0,818 0,837 0,867 0,916
84 42,00 36,373 1 43,13 42,98 42,60 41,51 0,818 0,837 0,867 0,916
85 42,50 36,806 1 43,63 43,48 43,10 42,01 0,818 0,837 0,867 0,916
86 43,00 37,239 1 44,13 43,98 43,60 42,51 0,818 0,838 0,867 0,916
87 43,50 37,672 1 44,63 44,48 44,10 43,01 0,818 0,838 0,867 0,917
88 44,00 38,105 1 45,13 44,98 44,60 43,51 0,818 0,838 0,867 0,917
89 44,50 38,538 1 45,63 45,48 45,10 44,01 0,818 0,838 0,868 0,917
90 45,00 38,971 1 46,13 45,98 45,60 44,51 0,818 0,838 0,868 0,917
91 45,50 39,404 2 46,63 46,48 46,10 45,01 0,818 0,838 0,868 0,918
92 46,00 39,837 2 47,13 46,98 46,60 45,51 0,818 0,838 0,868 0,918
93 46,50 40,270 2 47,63 47,48 47,10 46,01 0,818 0,838 0,868 0,918
94 47,00 40,703 2 48,13 47,98 47,60 46,51 0,818 0,838 0,868 0,918
95 47,50 41,136 2 48,63 48,48 48,10 47,01 0,818 0,838 0,869 0,919
96 48,00 41,569 2 49,13 48,98 48,60 47,51 0,818 0,839 0,869 0,919
97 48,50 42,002 2 49,63 49,48 49,10 48,01 0,819 0,839 0,869 0,919
98 49,00 42,435 2 50,13 49,98 49,60 48,51 0,819 0,839 0,869 0,919
99 49,50 42,868 3 50,63 50,48 50,10 49,01 0,819 0,839 0,869 0,920
100 50,00 43,301 3 51,13 50,98 50,60 49,51 0,819 0,839 0,869 0,920
Tableau 2 — Dimensions cannelure externe, α = 30°, m = 0,5, fond plat et plein rayon, S = 0,785
v max
D D D D S
z D D
b ee max Fe max ie min ie min min
Plein Fond
rayon plat
4h 5h 6h 7h
6 3,00 2,598 1 3,50 2,62 1,94 2,09 0,762 0,748 0,727 0,692
7 3,50 3,031 1 4,00 3,08 2,44 2,59 0,761 0,747 0,726 0,691
8 4,00 3,464 1 4,50 3,56 2,93 3,08 0,761 0,747 0,725 0,690
9 4,50 3,897 1 5,00 4,04 3,43 3,58 0,761 0,746 0,725 0,689
10 5,00 4,330 1 5,50 4,52 3,93 4,08 0,761 0,746 0,724 0,687
11 5,50 4,763 1 6,00 5,01 4,43 4,58 0,760 0,746 0,723 0,686
12 6,00 5,196 2 6,50 5,50 4,93 5,08 0,760 0,745 0,723 0,686
13 6,50 5,629 2 7,00 5,99 5,43 5,58 0,760 0,745 0,722 0,685
14 7,00 6,062 2 7,50 6,48 5,92 6,07 0,760 0,744 0,722 0,684
15 7,50 6,495 2 8,00 6,98 6,42 6,57 0,759 0,744 0,721 0,683
16 8,00 6,928 2 8,50 7,47 6,92 7,07 0,759 0,744 0,721 0,682
17 8,50 7,361 2 9,00 7,97 7,42 7,57 0,759 0,744 0,720 0,681
18 9,00 7,794 2 9,50 8,46 7,92 8,07 0,759 0,743 0,720 0,681
19 9,50 8,227 2 10,00 8,96 8,42 8,57 0,759 0,743 0,719 0,680
20 10,00 8,660 3 10,50 9,46 8,92 9,07 0,759 0,743 0,719 0,679
21 10,50 9,093 3 11,00 9,95 9,42 9,57 0,758 0,742 0,719 0,679
22 11,00 9,526 3 11,50 10,45 9,91 10,06 0,758 0,742 0,718 0,678
23 11,50 9,959 3 12,00 10,95 10,41 10,56 0,758 0,742 0,718 0,677
24 12,00 10,392 3 12,50 11,45 10,91 11,06 0,758 0,742 0,717 0,677
25 12,50 10,825 3 13,00 11,95 11,41 11,56 0,758 0,741 0,717 0,676
26 13,00 11,258 3 13,50 12,44 11,91 12,06 0,758 0,741 0,717 0,676
27 13,50 11,691 3 14,00 12,94 12,41 12,56 0,758 0,741 0,716 0,675
28 14,00 12,124 4 14,50 13,44 12,91 13,06 0,757 0,741 0,716 0,675
29 14,50 12,557 4 15,00 13,94 13,41 13,56 0,757 0,741 0,716 0,674
30 15,00 12,990 4 15,50 14,44 13,91 14,06 0,757 0,740 0,715 0,673
31 15,50 13,423 4 16,00 14,94 14,41 14,56 0,757 0,740 0,715 0,673
32 16,00 13,856 4 16,50 15,44 14,91 15,06 0,757 0,740 0,715 0,672
33 16,50 14,289 4 17,00 15,93 15,40 15,55 0,757 0,740 0,714 0,672
34 17,00 14,722 4 17,50 16,43 15,90 16,05 0,757 0,740 0,714 0,671
35 17,50 15,155 4 18,00 16,93 16,40 16,55 0,757 0,739 0,714 0,671
36 18,00 15,588 5 18,50 17,43 16,90 17,05 0,756 0,739 0,713 0,671
37 18,50 16,021 5 19,00 17,93 17,40 17,55 0,756 0,739 0,713 0,670
38 19,00 16,454 5 19,50 18,43 17,90 18,05 0,756 0,739 0,713 0,670
39 19,50 16,887 5 20,00 18,93 18,40 18,55 0,756 0,739 0,713 0,669
40 20,00 17,320 5 20,50 19,43 18,90 19,05 0,756 0,739 0,712 0,669
41 20,50 17,753 5 21,00 19,93 19,40 19,55 0,756 0,738 0,712 0,668
42 21,00 18,186 5 21,50 20,43 19,90 20,05 0,756 0,738 0,712 0,668
43 21,50 18,619 5 22,00 20,93 20,40 20,55 0,756 0,738 0,712 0,668
44 22,00 19,052 6 22,50 21,43 20,90 21,05 0,756 0,738 0,711 0,667
45 22,50 19,485 6 23,00 21,92 21,40 21,55 0,755 0,738 0,711 0,667
46 23,00 19,918 6 23,50 22,42 21,89 22,04 0,755 0,738 0,711 0,666
47 23,50 20,351 6 24,00 22,92 22,39 22,54 0,755 0,737 0,711 0,666
48 24,00 20,784 6 24,50 23,42 22,89 23,04 0,755 0,737 0,710 0,666
49 24,50 21,217 6 25,00 23,92 23,39 23,54 0,755 0,737 0,710 0,665
50 25,00 21,650 6 25,50 24,42 23,89 24,04 0,755 0,737 0,710 0,665
51 25,50 22,083 6 26,00 24,92 24,39 24,54 0,755 0,737 0,710 0,664
52 26,00 22,516 7 26,50 25,42 24,89 25,04 0,755 0,737 0,709 0,664
53 26,50 22,949 7 27,00 25,92 25,39 25,54 0,755 0,736 0,709 0,664
54 27,00 23,382 7 27,50 26,42 25,89 26,04 0,755 0,736 0,709 0,663
55 27,50 23,815 7 28,00 26,92 26,39 26,54 0,755 0,736 0,709 0,663
56 28,00 24,248 7 28,50 27,42 26,89 27,04 0,754 0,736 0,709 0,663
57 28,50 24,681 7 29,00 27,92 27,39 27,54 0,754 0,736 0,708 0,662
58 29,00 25,114 7 29,50 28,42 27,89 28,04 0,754 0,736 0,708 0,662
59 29,50 25,547 7 30,00 28,92 28,39 28,54 0,754 0,736 0,708 0,662
60 30,00 25,980 8 30,50 29,42 28,89 29,04 0,754 0,736 0,708 0,661
61 30,50 26,413 8 31,00 29,92 29,39 29,54 0,754 0,735 0,707 0,661
62 31,00 26,846 8 31,50 30,42 29,88 30,03 0,754 0,735 0,707 0,661
Tableau 2 (suite)
D D D D S
z D D
b ee max Fe max ie min ie min min
Plein Fond
rayon plat
4h 5h 6h 7h
63 31,50 27,279 8 32,00 30,92 30,38 30,53 0,754 0,735 0,707 0,660
64 32,00 27,712 8 32,50 31,42 30,88 31,03 0,754 0,735 0,707 0,660
65 32,50 28,145 8 33,00 31,92 31,38 31,53 0,754 0,735 0,707 0,660
66 33,00 28,578 8 33,50 32,42 31,88 32,03 0,754 0,735 0,707 0,659
67 33,50 29,011 9 34,00 32,92 32,38 32,53 0,754 0,735 0,706 0,659
68 34,00 29,444 9 34,50 33,42 32,88 33,03 0,753 0,735 0,706 0,659
69 34,50 29,877 9 35,00 33,92 33,38 33,53 0,753 0,734 0,706 0,658
70 35,00 30,310 9 35,50 34,42 33,88 34,03 0,753 0,734 0,706 0,658
71 35,50 30,743 9 36,00 34,92 34,38 34,53 0,753 0,734 0,706 0,658
72 36,00 31,176 9 36,50 35,42 34,88 35,03 0,753 0,734 0,705 0,658
73 36,50 31,609 9 37,00 35,92 35,38 35,53 0,753 0,734 0,705 0,657
74 37,00 32,042 9 37,50 36,41 35,88 36,03 0,753 0,734 0,705 0,657
75 37,50 32,476 0 38,00 36,91 36,38 36,53 0,753 0,734 0,705 0,657
76 38,00 32,909 0 38,50 37,41 36,88 37,03 0,753 0,734 0,705 0,656
77 38,50 33,342 0 39,00 37,91 37,38 37,53 0,753 0,733 0,704 0,656
78 39,00 33,775 0 39,50 38,41 37,88 38,03 0,753 0,733 0,704 0,656
79 39,50 34,208 0 40,00 38,91 38,38 38,53 0,753 0,733 0,704 0,656
80 40,00 34,641 0 40,50 39,41 38,88 39,03 0,753 0,733 0,704 0,655
81 40,50 35,074 0 41,00 39,91 39,37 39,52 0,753 0,733 0,704 0,655
82 41,00 35,507 0 41,50 40,41 39,87 40,02 0,752 0,733 0,704 0,655
83 41,50 35,940 1 42,00 40,91 40,37 40,52 0,752 0,733 0,703 0,654
84 42,00 36,373 1 42,50 41,41 40,87 41,02 0,752 0,733 0,703 0,654
85 42,50 36,806 1 43,00 41,91 41,37 41,52 0,752 0,733 0,703 0,654
86 43,00 37,239 1 43,50 42,41 41,87 42,02 0,752 0,732 0,703 0,654
87 43,50 37,672 1 44,00 42,91 42,37 42,52 0,752 0,732 0,703 0,653
88 44,00 38,105 1 44,50 43,41 42,87 43,02 0,752 0,732 0,703 0,653
89 44,50 38,538 1 45,00 43,91 43,37 43,52 0,752 0,732 0,702 0,653
90 45,00 38,971 1 45,50 44,41 43,87 44,02 0,752 0,732 0,702 0,653
91 45,50 39,404 2 46,00 44,91 44,37 44,52 0,752 0,732 0,702 0,652
92 46,00 39,837 2 46,50 45,41 44,87 45,02 0,752 0,732 0,702 0,652
93 46,50 40,270 2 47,00 45,91 45,37 45,52 0,752 0,732 0,702 0,652
94 47,00 40,703 2 47,50 46,41 45,87 46,02 0,752 0,732 0,702 0,652
95 47,50 41,136 2 48,00 46,91 46,37 46,52 0,752 0,732 0,701 0,651
96 48,00 41,569 2 48,50 47,41 46,87 47,02 0,752 0,731 0,701 0,651
97 48,50 42,002 2 49,00 47,91 47,37 47,52 0,751 0,731 0,701 0,651
98 49,00 42,435 2 49,50 48,41 47,87 48,02 0,751 0,731 0,701 0,651
99 49,50 42,868 3 50,00 48,91 48,37 48,52 0,751 0,731 0,701 0,650
100 50,00 43,301 3 50,50 49,41 48,87 49,02 0,751 0,731 0,701 0,650
Tableau 3 — Cotes de vérification cannelure interne, α = 30°, m = 0,5, fond plat ou plein rayon,
E = 0,785
v min
Mesure entre billes ou piges, M (contrôle des cotes E et E ) pour classes de
Ri min max
z D K
Ri i
tolérances
4H 5H 6H 7H
min. max. min. max. min. max. min. max.
(aux.) (aux.) (aux.) (aux.)
6 — — — — — — — — — —
7 — — — — — — — — — —
8 0,85 2,752 2,791 2,767 2,830 2,788 2,882 2,821 2,960 2,079
9 0,85 3,207 3,241 3,220 3,276 3,239 3,324 3,268 3,399 1,987
10 0,85 3,780 3,813 3,793 3,846 3,810 3,894 3,838 3,969 1,974
11 0,85 4,235 4,266 4,247 4,298 4,264 4,344 4,291 4,418 1,922
12 0,85 4,793 4,823 4,805 4,855 4,821 4,901 4,848 4,975 1,917
13 0,90 5,071 5,104 5,084 5,139 5,102 5,189 5,131 5,268 2,031
14 0,90 5,623 5,655 5,636 5,689 5,653 5,739 5,682 5,817 2,011
15 0,90 6,091 6,122 6,103 6,155 6,120 6,203 6,148 6,281 1,972
16 0,90 6,634 6,665 6,646 6,698 6,663 6,746 6,691 6,823 1,960
17 0,90 7,104 7,134 7,116 7,166 7,133 7,214 7,160 7,291 1,932
18 0,90 7,642 7,672 7,654 7,704 7,670 7,751 7,697 7,828 1,924
19 0,90 8,114 8,143 8,126 8,175 8,142 8,222 8,169 8,299 1,904
20 0,90 8,648 8,677 8,659 8,709 8,676 8,756 8,702 8,832 1,898
21 0,90 9,122 9,151 9,134 9,182 9,150 9,229 9,176 9,305 1,882
22 0,90 9,652 9,681 9,664 9,712 9,680 9,759 9,707 9,836 1,878
23 0,90 10,128 10,157 10,140 10,188 10,156 10,235 10,183 10,311 1,865
24 0,90 10,656 10,684 10,667 10,716 10,684 10,762 10,710 10,839 1,862
25 0,90 11,133 11,161 11,145 11,193 11,161 11,240 11,188 11,316 1,852
26 0,90 11,659 11,687 11,670 11,718 11,687 11,765 11,713 11,842 1,849
27 0,90 12,138 12,166 12,149 12,197 12,166 12,244 12,192 12,321 1,841
28 0,90 12,661 12,689 12,673 12,721 12,689 12,768 12,716 12,844 1,839
29 0,90 13,142 13,169 13,153 13,201 13,170 13,248 13,196 13,325 1,831
30 0,90 13,663 13,691 13,675 13,723 13,692 13,770 13,718 13,847 1,830
31 0,90 14,145 14,172 14,157 14,204 14,173 14,251 14,200 14,329 1,823
32 0,90 14,665 14,693 14,677 14,724 14,694 14,772 14,720 14,849 1,822
33 0,90 15,148 15,175 15,160 15,207 15,176 15,254 15,203 15,332 1,817
34 0,90 15,667 15,694 15,679 15,726 15,695 15,773 15,722 15,851 1,815
35 0,90 16,150 16,178 16,162 16,210 16,179 16,257 16,206 16,335 1,811
36 0,90 16,668 16,696 16,680 16,728 16,697 16,775 16,724 16,853 1,810
37 0,90 17,153 17,180 17,165 17,212 17,182 17,260 17,209 17,338 1,805
38 0,90 17,670 17,697 17,682 17,729 17,699 17,777 17,726 17,855 1,805
39 0,90 18,155 18,182 18,167 18,214 18,184 18,262 18,211 18,341 1,801
40 0,90 18,671 18,698 18,683 18,730 18,700 18,778 18,727 18,857 1,800
41 0,90 19,157 19,184 19,169 19,216 19,186 19,264 19,213 19,343 1,797
42 0,90 19,672 19,699 19,684 19,731 19,701 19,779 19,729 19,859 1,796
43 0,90 20,159 20,186 20,171 20,218 20,188 20,266 20,215 20,346 1,793
44 0,90 20,673 20,700 20,685 20,732 20,703 20,781 20,730 20,861 1,793
45 0,90 21,160 21,187 21,172 21,220 21,190 21,268 21,217 21,348 1,790
46 0,90 21,674 21,701 21,686 21,734 21,704 21,782 21,732 21,862 1,789
47 0,90 22,162 22,188 22,174 22,221 22,192 22,270 22,219 22,350 1,787
48 0,90 22,675 22,702 22,687 22,734 22,705 22,783 22,733 22,864 1,786
49 0,90 23,163 23,190 23,176 23,223 23,193 23,271 23,221 23,352 1,784
50 0,90 23,676 23,703 23,688 23,735 23,706 23,784 23,734 23,865 1,784
51 0,90 24,164 24,191 24,177 24,224 24,195 24,273 24,223 24,354 1,782
52 0,90 24,677 24,703 24,689 24,736 24,707 24,785 24,735 24,867 1,781
53 0,90 25,166 25,192 25,178 25,225 25,196 25,274 25,224 25,356 1,779
54 0,90 25,677 25,704 25,690 25,737 25,708 25,786 25,736 25,868 1,779
55 0,90 26,167 26,193 26,179 26,226 26,197 26,276 26,226 26,358 1,777
Tableau 3 (suite)
Mesure entre billes ou piges, M (contrôle des cotes E et E ) pour classes de
Ri min max
D K
z
Ri i
tolérances
4H 5H 6H 7H
min. max. min. max. min. max. min. max.
(aux.) (aux.) (aux.) (aux.)
56 0,90 26,678 26,705 26,691 26,738 26,709 26,787 26,738 26,869 1,777
57 0,90 27,168 27,194 27,181 27,228 27,199 27,277 27,227 27,359 1,775
58 0,90 27,679 27,705 27,692 27,739 27,710 27,788 27,739 27,871 1,775
59 0,90 28,169 28,195 28,182 28,229 28,200 28,279 28,229 28,361 1,774
60 0,90 28,679 28,706 28,692 28,739 28,711 28,789 28,740 28,872 1,773
61 0,90 29,170 29,170 29,183 29,230 29,201 29,280 29,230 29,363 1,772
62 0,90 29,680 29,707 29,693 29,740 29,712 29,790 29,741 29,873 1,772
63 0,90 30,171 30,197 30,184 30,231 30,202 30,281 30,231 30,364 1,770
64 0,90 30,681 30,707 30,694 30,741 30,712 30,791 30,742 30,874 1,770
65 0,90 31,171 31,198 31,185 31,232 31,203 31,282 31,233 31,366 1,769
66 0,90 31,681 31,708 31,694 31,741 31,713 31,792 31,743 31,876 1,769
67 0,90 32,172 32,199 32,186 32,233 32,204 32,283 32,234 32,367 1,768
68 0,90 32,682 32,708 32,695 32,742 32,714 32,793 32,744 32,877 1,768
69 0,90 33,173 33,199 33,186 33,233 33,205 33,284 33,235 33,368 1,766
70 0,90 33,682 33,709 33,696 33,743 33,715 33,794 33,744 33,878 1,766
71 0,90 34,174 34,200 34,187 34,234 34,206 34,285 34,236 34,370 1,765
72 0,90 34,683 34,709 34,696 34,743 34,715 34,794 34,745 34,879 1,765
73 0,90 35,175 35,201 35,188 35,235 35,207 35,286 35,237 35,371 1,764
74 0,90 35,683 35,709 35,697 35,744 35,716 35,795 35,746 35,880 1,764
75 0,90 36,175 36,202 36,189 36,236 36,208 36,287 36,238 36,372 1,763
76 0,90 36,684 36,710 36,697 36,744 36,717 36,796 36,747 36,881 1,763
77 0,90 37,176 37,202 37,190 37,237 37,209 37,288 37,240 37,374 1,762
78 0,90 37,684 37,710 37,698 37,745 37,717 37,797 37,748 37,882 1,762
79 0,90 38,177 38,203 38,190 38,237 38,210 38,289 38,241 38,375 1,761
80 0,90 38,684 38,711 38,698 38,745 38,718 38,797 38,749 38,883 1,761
81 0,90 39,177 39,203 39,191 39,238 39,211 39,290 39,242 39,376 1,760
82 0,90 39,685 39,711 39,699 39,746 39,719 39,798 39,750 39,884 1,760
83 0,90 40,178 40,204 40,192 40,239 40,212 40,291 40,243 40,377 1,760
84 0,90 40,685 40,711 40,699 40,746 40,719 40,799 40,750 40,885 1,759
85 0,90 41,178 41,204 41,192 41,239 41,212 41,292 41,244 41,379 1,759
86 0,90 41,686 41,712 41,700 41,747 41,720 41,799 41,751 41,886 1,759
87 0,90 42,179 42,205 42,193 42,240 42,213 42,293 42,244 42,380 1,758
88 0,90 42,686 42,712 42,700 42,747 42,720 42,800 42,752 42,887 1,758
89 0,90 43,179 43,206 43,194 43,241 43,214 43,293 43,245 43,381 1,757
90 0,90 43,686 43,713 43,701 43,748 43,721 43,801 43,753 43,888 1,757
91 0,90 44,180 44,206 44,194 44,241 44,215 44,294 44,246 44,382 1,757
92 0,90 44,687 44,713 44,701 44,748 44,722 44,801 44,753 44,889 1,757
93 0,90 45,180 45,207 45,195 45,242 45,215 45,295 45,247 45,383 1,756
94 0,90 45,687 45,713 45,702 45,749 45,722 45,802 45,754 45,890 1,756
95 0,90 46,181 46,207 46,196 46,243 46,216 46,296 46,248 46,384 1,755
96 0,90 46,688 46,714 46,702 46,749 46,723 46,802 46,755 46,891 1,755
97 0,90 47,181 47,207 47,196 47,243 47,217 47,296 47,249 47,385 1,755
98 0,90 47,688 47,714 47,703 47,750 47,723 47,803 47,756 47,892 1,755
99 0,90 48,182 48,208 48,197 48,244 48,217 48,297 48,250 48,386 1,754
100 0,90 48,688 48,714 48,703 48,750 48,724 48,804 48,756 48,893 1,754
Tableau 4 — Cote de vérification cannelure externe, α = 30°, m = 0,5, fond plat ou plein rayon,
S = 0,785
v max
Mesure sur billes ou piges, M (contrôle des cotes S et S ) pour classes de
Re min max
z D K
Re e
tolérances
4h 5h 6h 7h
min. max. min. max. min. max. min. max.
(aux.) (aux.) (aux.) (aux.)
6 1,12 4,797 4,813 4,780 4,807 4,754 4,798 4,711 4,784 1,255
7 1,12 5,204 5,220 5,187 5,214 5,161 5,206 5,117 5,191 1,254
8 1,06 5,670 5,687 5,651 5,681 5,622 5,671 5,575 5,655 1,350
9 1,06 6,099 6,117 6,080 6,110 6,051 6,101 6,003 6,085 1,354
10 1,06 6,683 6,701 6,663 6,694 6,633 6,684 6,582 6,668 1,395
11 1,00 6,970 6,989 6,950 6,982 6,918 6,972 6,866 6,955 1,441
12 1,00 7,535 7,555 7,514 7,547 7,482 7,537 7,427 7,519 1,471
13 1,00 7,987 8,007 7,965 7,999 7,933 7,988 7,878 7,970 1,475
14 1,00 8,541 8,561 8,519 8,554 8,485 8,542 8,429 8,524 1,498
15 1,00 8,999 9,020 8,977 9,012 8,943 9,001 8,886 8,982 1,501
16 1,00 9,546 9,566 9,523 9,558 9,488 9,547 9,430 9,528 1,520
17 1,00 10,009 10,030 9,986 10,022 9,951 10,010 9,892 9,991 1,523
18 1,00 10,549 10,571 10,526 10,562 10,490 10,550 10,431 10,531 1,538
19 1,00 11,017 11,038 10,993 11,029 10,957 11,017 10,897 10,998 1,541
20 1,00 11,552 11,574 11,528 11,565 11,492 11,553 11,431 11,533 1,554
21 0,95 11,884 11,906 11,860 11,898 11,822 11,885 11,760 11,864 1,587
22 0,95 12,416 12,438 12,391 12,429 12,353 12,416 12,289 12,396 1,597
23 0,95 12,889 12,911 12,864 12,902 12,826 12,889 12,761 12,868 1,598
24 0,95 13,417 13,440 13,392 13,431 13,353 13,418 13,289 13,396 1,607
25 0,95 13,892 13,915 13,867 13,906 13,828 13,892 13,763 13,871 1,608
26 0,95 14,419 14,441 14,393 14,432 14,354 14,419 14,288 14,397 1,615
27 0,95 14,896 14,918 14,869 14,909 14,830 14,895 14,764 14,874 1,616
28 0,95 15,420 15,442 15,393 15,433 15,354 15,419 15,287 15,397 1,623
29 0,95 15,898 15,921 15,872 15,911 15,832 15,898 15,764 15,876 1,624
30 0,95 16,420 16,443 16,394 16,434 16,353 16,420 16,286 16,398 1,629
31 0,95 16,900 16,923 16,873 16,914 16,833 16,900 16,765 16,877 1,630
32 0,95 17,421 17,444 17,394 17,434 17,353 17,420 17,285 17,398 1,635
33 0,95 17,902 17,926 17,875 17,916 17,834 17,901 17,765 17,879 1,636
34 0,95 18,422 18,445 18,394 18,435 18,353 18,421 18,284 18,398 1,641
35 0,95 18,904 18,927 18,876 18,917 18,835 18,903 18,765 18,880 1,642
36 0,95 19,422 19,446 19,395 19,436 19,353 19,421 19,283 19,398 1,646
37 0,95 19,906 19,929 19,878 19,919 19,836 19,904 19,765 19,881 1,646
38 0,95 20,423 20,446 20,395 20,436 20,353 20,421 20,281 20,398 1,650
39 0,95 20,907 20,930 20,879 20,920 20,836 20,905 20,765 20,881 1,651
40 0,95 21,423 21,447 21,395 21,436 21,352 21,421 21,280 21,397 1,654
41 0,95 21,908 21,932 21,880 21,921 21,837 21,906 21,765 21,882 1,655
42 0,95 22,424 22,447 22,395 22,437 22,352 22,422 22,279 22,397 1,658
43 0,95 22,909 22,933 22,880 22,922 22,837 22,907 22,764 22,882 1,658
44 0,95 23,424 23,448 23,395 23,437 23,351 23,422 23,278 23,397 1,661
45 0,95 23,910 23,934 23,881 23,923 23,837 23,908 23,764 23,883 1,661
46 0,95 24,424 24,448 24,395 24,437 24,351 24,422 24,277 24,397 1,664
47 0,95 24,911 24,935 24,882 24,924 24,838 24,908 24,764 24,883 1,664
48 0,95 25,424 25,448 25,395 25,437 25,351 25,422 25,276 25,396 1,667
49 0,95 25,912 25,936 25,882 25,925 25,838 25,909 25,763 25,883 1,667
50 0,95 26,425 26,449 26,395 26,437 26,350 26,421 26,275 26,396 1,669
51 0,95 26,912 26,936 26,883 26,925 26,838 26,909 26,763 26,884 1,670
52 0,95 27,425 27,449 27,395 27,437 27,350 27,421 27,274 27,396 1,672
53 0,95 27,913 27,937 27,883 27,926 27,838 27,909 27,762 27,884 1,672
54 0,95 28,425 28,449 28,395 28,438 28,349 28,421 28,273 28,395 1,674
55 0,95 28,914 28,938 28,883 28,926 28,838 28,910 28,761 28,884 1,674
56 0,95 29,425 29,449 29,395 29,438 29,349 29,421 29,272 29,395 1,676
57 0,95 29,914 29,938 29,884 29,927 29,838 29,910 29,761 29,884 1,676
58 0,95 30,425 30,449 30,395 30,438 30,348 30,421 30,271 30,395 1,678
59 0,95 30,914 30,939 30,884 30,927 30,838 30,910 30,760 30,884 1,678
60 0,95 31,425 31,449 31,394 31,438 31,348 31,421 31,270 31,394 1,680
Tableau 4 (suite)
Mesure sur billes ou piges, M (contrôle des cotes S et S ) pour classes de
Re min max
z D K
Re e
tolérances
4h 5h 6h 7h
min. max. min. max. min. max. min. max.
(aux.) (aux.) (aux.) (aux.)
61 0,95 31,915 31,939 31,884 31,927 31,838 31,910 31,760 31,884 1,680
62 0,95 32,425 32,450 32,394 32,438 32,348 32,421 32,269 32,394 1,682
63 0,95 32,915 32,940 32,884 32,928 32,837 32,911 32,759 32,884 1,682
64 0,95 33,425 33,450 33,394 33,438 33,347 33,420 33,269 33,393 1,683
65 0,95 33,916 33,940 33,884 33,928 33,837 33,911 33,758 33,883 1,684
66 0,95 34,425 34,450 34,394 34,437 34,347 34,420 34,268 34,393 1,685
67 0,95 34,916 34,940 34,884 34,928 34,837 34,911 34,758 34,883 1,685
68 0,95 35,425 35,450 35,394 35,437 35,346 35,420 35,267 35,392 1,686
69 0,95 35,916 35,941 35,885 35,928 35,837 35,911 35,757 35,883 1,686
70 0,95 36,425 36,450 36,394 36,437 36,346 36,420 36,266 36,392 1,688
71 0,95 36,916 36,941 36,885 36,928 36,837 36,911 36,757 36,883 1,688
72 0,95 37,425 37,450 37,393 37,437 37,345 37,419 37,265 37,391 1,689
73 0,95 37,917 37,941 37,885 37,929 37,837 37,911 37,756 37,883 1,689
74 0,95 38,425 38,450 38,393 38,437 38,345 38,419 38,264 38,391 1,690
75 0,95 38,917 38,941 38,885 38,929 38,836 38,911 38,755 38,882 1,690
76 0,95 39,425 39,450 39,393 39,437 39,344 39,419 39,263 39,390 1,691
77 0,95 39,917 39,942 39,885 39,929 39,836 39,911 39,755 39,882 1,691
78 0,95 40,425 40,450 40,393 40,437 40,344 40,419 40,262 40,390 1,692
79 0,95 40,917 40,942 40,885 40,929 40,836 40,911 40,754 40,882 1,693
80 0,95 41,425 41,450 41,393 41,437 41,344 41,418 41,261 41,389 1,693
81 0,95 41,917 41,942 41,885 41,929 41,836 41,911 41,753 41,882 1,694
82 0,95 42,425 42,450 42,392 42,437 42,343 42,418 42,261 42,389 1,694
83 0,95 42,918 42,942 42,885 42,929 42,835 42,910 42,753 42,881 1,695
84 0,95 43,425 43,450 43,392 43,436 43,343 43,418 43,260 43,389 1,695
85 0,95 43,918 43,942 43,885 43,929 43,835 43,910 43,752 43,881 1,696
86 0,95 44,425 44,450 44,392 44,436 44,342 44,418 44,259 44,388 1,696
87 0,95 44,918 44,942 44,885 44,929 44,835 44,910 44,751 44,881 1,696
88 0,95 45,425 45,450 45,392 45,436 45,342 45,417 45,258 45,388 1,697
89 0,95 45,918 45,943 45,885 45,929 45,835 45,910 45,751 45,880 1,697
90 0,95 46,425 46,450 46,392 46,436 46,341 46,417 46,257 46,387 1,698
91 0,95 46,918 46,943 46,885 46,929 46,834 46,910 46,750 46,880 1,698
92 0,95 47,425 47,450 47,391 47,436 47,341 47,417 47,256 47,387 1,699
93 0,95 47,918 47,943 47,885 47,929 47,834 47,910 47,749 47,880 1,699
94 0,95 48,425 48,449 48,391 48,436 48,340 48,416 48,256 48,386 1,700
95 0,95 48,918 48,943 48,884 48,929 48,834 48,910 48,749 48,879 1,700
96 0,95 49,425 49,449 49,391 49,436 49,340 49,416 49,255 49,386 1,700
97 0,95 49,918 49,943 49,884 49,929 49,833 49,910 49,748 49,879 1,700
98 0,95 50,425 50,449 50,391 50,435 50,340 50,416 50,254 50,385 1,701
99 0,95 50,918 50,943 50,884 50,929 50,833 50,909 50,747 50,879 1,701
100 0,95 51,425 51,449 51,390 51,435 51,339 51,415 51,253 51,385 1,702
Angle de pression 30°, module 0,75
Tableau 5 — Dimension cannelure interne, α = 30°, m = 0,75, fond plat et plein rayon, E = 1,1
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