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75920682-DIN-5480-1 | Engineering Tolerance | Gear
Splined connections with involute splines based on reference diameters
— Part 1: Principles
Passverzahnungen mit Evolventenflanken und Bezugsdurchmesser — Teil 1: Grundlagen
DIN 5480-1:1991-10 and
DIN 5480-14:1986-03
Translated by technomedia – Hirsinger, Corte, Gosch & Partner, Berlin
This translation has not been checked by DIN Deutsches Institut für Normung e.V., Berlin.
Foreword..............................................................................................................................................................4
1 Scope ......................................................................................................................................................5
2 Normative references ............................................................................................................................5
3 Symbols, designations and units.........................................................................................................6
4 Structure.................................................................................................................................................8
5 Preferred series of modules, reference diameters and numbers of teeth.......................................9
6 Basic rack profile.................................................................................................................................12
7 Diameters..............................................................................................................................................14
7.1 Diameters in flank-centred fitted splined connections....................................................................14
7.2 Diameters for diameter-centred fitted splined connections ...........................................................15
7.2.1 General..................................................................................................................................................15
7.2.2 External diameter centring .................................................................................................................16
7.2.3 Internal diameter centring...................................................................................................................16
8 Designations ........................................................................................................................................17
9 Data to be shown on drawings...........................................................................................................19
9.1 Data table..............................................................................................................................................19
9.2 Indication of individual deviations.....................................................................................................19
9.3 Statistical actual tolerance limit (STA) ..............................................................................................20
9.4 Representation in drawings................................................................................................................20
10 Fit system for space width / tooth thickness....................................................................................21
10.1 General..................................................................................................................................................21
10.2 Structure of the tolerance system......................................................................................................21
10.3 Deviations.............................................................................................................................................21
10.4 Overall tolerance T
10.5 Actual tolerance T
10.6 Effective tolerance T
10.7 Design specifications..........................................................................................................................22
10.8 Calculation of tolerance limits............................................................................................................22
10.9 Deviations and tolerances ..................................................................................................................24
10.10 Guide values for radial runout............................................................................................................25
10.11 Implementation of fit types.................................................................................................................25
10.12 Quality assurance................................................................................................................................25
Bibliography......................................................................................................................................................27
Figure 1 : Double teeth......................................................................................................................................9
Figure 2 : Basic rack profile ...........................................................................................................................12
Figure 3 : Bottom clearance of flank-centred connections.........................................................................15
Figure 4 : External diameter centring............................................................................................................16
Figure 5 : Internal diameter centring.............................................................................................................16
Figure 6 : Example of a data field in a drawing............................................................................................19
Figure 7 : Schematic diagram of space width / tooth thickness fit ...........................................................21
Table 1 : Preferred series, reference diameters d
from 6 mm to 58 mm..................................................10
Table 2 : Preferred series, reference diameters d
from 60 mm to 500 mm..............................................11
Table 3 : Basic rack profile..............................................................................................................................13
Table 4 : Minimum form clearance .................................................................................................................14
Table 5 : Recommended tolerances and deviations for tip and root circle diameters ............................17
Table 6 : Calculation of tolerance limits........................................................................................................23
Table 7 : Deviations and tolerances ..............................................................................................................24
Table 8 : Guide values for radial runout........................................................................................................25
Table 9 : Types of fit........................................................................................................................................25
See foreword for relationship to the International Standard ISO 4156, published by the International
This standard is valid from 2006-03-01 onwards.
This series of standards deals with involute splines and interacting involute splines in the ranges module 0,5
to 10, with a number of teeth ranging from 6 to 82 and a pressure angle of 30°. The DIN 5480 series of
standards is limited to splines with a pressure angle of 30°, since pressure angles of 37,5° and 45° are
covered by ISO 4156.
Involute splines in accordance with ISO 4156 are based on series of modules. These are not interchangeable
with involute splines as described by the DIN 5480 series of standards.
The DIN 5480 series of standards is based on reference diameters that are independent of the module. This
makes it possible to adapt the gears to standardized ball and roller bearing diameters and to reduce the
number of different tools required for manufacturing. This series of standards has been revised by Technical
Committee 2.1 Passverzahnungen (NAM “Involute splines”). The revision was considered necessary since a
review of the DIN 5480 series of standards in accordance with DIN 820-4 had shown that the series had
structural and editorial weaknesses. The object of the revision was to combine the individual parts of this
standard in a practical, useful and sensible manner.
The entire series of standards now consists of only four parts instead of the previous sixteen.
DIN 5480 Splined connections with involute splines based on reference diameters now comprises:
 Part 1: Principles
 Part 2: Nominal dimensions and inspection dimensions
 Part 15: Inspection
 Part 16: Tools
The new edition of DIN 5480-1 deals with fundamental principles, the same as its predecessor, but now also
includes fit dimensions and tolerances, these being formerly contained in DIN 5480-14:1986-03.
calculation formulae, tolerances and deviations contained in Part 1 also apply to the other parts of this series
of standards. DIN 5480-2 now contains the nominal dimensions and inspection dimensions for the range of
items stated above. This part combines the contents of all the former parts DIN 5480-2 … DIN 5480-13.
DIN 5480-15 covers quality inspections of fitted splined connections.
DIN 5480-16 defines the design features of tools for manufacturing items with involute splines.
This standard differs from the DIN 5480-1:1991-04 and DIN 5480-14:1986-03 editions as follows :
a) the title has been changed to “Splined connections with involute splines based on reference diameters”;
b) the full root radius has been included for shafts;
c) cold-rolling has been included as a manufacturing process for shafts;
d) editorial revisions have been made; and
e) the entire contents of DIN 5480-14:1986-03 have been integrated into DIN 5480-1.
DIN 5480-1: 1966-12, 1974-09, 1986-03, 1991-10
DIN 5480-14: 1966-12, 1974-09, 1986-03
This standard applies to splined connections with involute splines based on reference diameters for
connecting hubs and shafts either with a removable connection, a sliding fit or a permanent fit. It lays down
the following fundamental principles:
a) standardized uniform pressure angle of 30°,
b) the basic rack profile is the same for all pitches, therefore applying a uniform design rule to all profiles;
c) flank centring; in exceptions, diameter-centring is allowed;
d) application of profile displacements in order to achieve specific reference diameters;
e) the fit system includes tolerances for effective form deviations, meaning that the effect of such deviations
on the fit backlash is taken into account; and the range of various dimension series and tolerance classes
takes due consideration of all requirements.
This standard incorporates, by dated or undated reference, provisions from other publications. For dated
references, only the edition referred to applies to this standard. For undated references, the latest edition
(including all amendments) of the publication referred to applies.
DIN 323-1, Preferred numbers and series of preferred numbers; basic values,calculated values, rounded
DIN 780-1, Series of modules for gears; modules for spur gears
DIN 3960, Definitions, parameters and equations for involute cylindrical gears and gear pairs
DIN 5480-2, Splined connections with involute splines based on reference diameters – nominal dimensions
and inspection dimensions
DIN 5480-15, Splined connections with involute splines based on reference diameters – quality inspection
DIN 5480-16, Splined connections with involute splines based on reference diameters – tools
DIN ISO 6413, Technical drawings – representation of splines and serrations
Symbol Designation Unit
c bottom clearance mm
form clearance mm
form clearance of basic rack profile mm
minimum form clearance mm
d reference circle diameter mm
tip circle diameter mm
tip circle diameter of shaft mm
tip circle diameter of hub mm
root circle diameter mm
root circle diameter of shaft mm
root circle diameter of hub mm
reference diameter mm
root form circle diameter of shaft mm
root form circle diameter of hub mm
effective root circle diameter mm
e space width on hub mm
nominal space width on hub mm
actual maximum space width mm
actual minimum reference space width mm
minimum effective space width mm
individual pitch deviation µm
h tooth depth mm
addendum of basic rack profile mm
addendum of tool basic rack profile mm
dedendum of basic rack profile mm
radial height of top land chamfer or rounding mm
tooth depth of basic rack profile mm
k number of teeth measured for face width measurement
m module mm
p pitch mm
s shaft tooth thickness mm
nominal shaft tooth thickness mm
actual maximum reference tooth thickness mm
actual minimum tooth thickness mm
maximum effective tooth thickness mm
x addendum modification factor
x ⋅ m addendum modification mm
A deviation mm
deviation of shaft root circle diameter mm
deviation of hub root circle diameter mm
space width deviation mm
tooth thickness deviation mm
deviation of inspection dimension M
deviation of base tangent length W
deviation factor for inspection dimension M
deviation factor for base tangent length W
measuring circle diameter mm
total helix deviation µm
total pitch deviation µm
runout µm
dimension over measuring circles mm
dimension between measuring circles mm
NA hub centred on external diameter
NI hub centred on internal diameter
tooth thickness variation mm
tooth thickness tolerance, actual space width mm
tooth thickness tolerance, effective space width mm
total tooth thickness/space width tolerance mm
WA shaft centred on external diameter
WI shaft centred on internal diameter
base tangent length over k teeth mm
α pressure angle °
αv press-fit angle °
ρ fP root fillet radius of basic rack profile mm
Subscript Refers to Subscript Refers to Index Refers to
a tooth tip G total 0 tool
e space width K tip land chamfer 1 shaft
f root of tooth N effective diameter 2 hub
s tooth thickness P basic rack profile * deviation factor
v effective tolerance limit act actual
F form diameter eff effective
The tooth interlock of a shaft and hub splined connection is determined by the basic rack profile, the reference
diameter, the module and the number of teeth. The selection of nominal dimensions is essentially determined
by the following condition: the shaft cross section remaining available for transmitting torques shall not be
reduced more than is necessary to permit easy slip-fitting of components such as, for instance, ball or roller
bearings. In connections centred on any reference diameter, this condition is met by making the reference
diameter equal to the bore of the bearing and then modifying the profiles of the teeth of the hub and the shaft
The numbers of teeth are selected in such a way that the addendum modification necessitated by the
reference diameter is kept within the range
⋅ m = –0,05 ⋅ m to +0,45 ⋅ m . The mean fit angles range from 30°to more than 40°.
Even numbers of teeth have been given preference in tables 1 and 2. The reasons for this are explained in
subclause 7.2.
Values of –0,05 ⋅ m and +0,45 ⋅ m are specified as limits for the nominal addendum modification of shafts; the
limits for the nominal addendum modification of hubs are specified as +0,05 ⋅ m and –0,45 ⋅ m . Exceptions
>+ 0,45) have been permitted for some larger numbers of teeth ¹z
≥ 60) in order to enable even numbers
of teeth to be produced and to avoid using prime numbers, since the effect of the addendum modifications on
the fit angles α
on the V circle decreases as the number of teeth increases.
Depending on the respective reference diameter, calculations for the number of teeth for tables 1 and 2 using
the formulae given in table 3 will result either in a number teeth with addendum modifications that are within
the specified limits or in two consecutive numbers of teeth with equal limit values x
= –0,05 and +0,45, since
this range of addendum modifications, 0,5•m , corresponds to a difference of 1 tooth. In such cases, the
maximum value of the addendum modification (x
= +0,45) is taken for connections with z < 10, and the even
number of teeth is taken for connections with z ≥ 10 to facilitate the production of double teeth on shafts or
hubs, which means that the addendum modification can also assume the minimum value (x
= –0,05). Figure
1 shows an externally-centred shaft with splines. The double spaces of the associated hub or of an internally
centred shaft cannot be measured using balls or pins; GO/NOT GO gauges are required.
Figure 1 : Double teeth
If the number of spaces which can measured using pins is an odd number, then the measurements given in
the tables can be converted.
M M Tabelle 2 1 2 1
)) 2 /( cos( ) ( D z D M M
+ ⋅ π ⋅ − = (1)
)) 2 /( cos( * *
Tabelle 1,2 M 1,2 M
z A A ⋅ π ⋅ = (2)
(π is the angle in radians)
In keeping with the rule defined in DIN 3960, M
must be a negative value. The symbol z then represents the
new odd number of spaces.
A number of teeth expressed as 6 (12) indicates six double teeth out of a total of 12:
EXAMPLE: DIN 5480 – WA 17 × 1,25 × 6 (12) × h6 × 9e
5 Preferred series of modules, reference diameters and numbers of teeth
This standard offers a large selection of fitted splined connections. The module series corresponds to the
module series I and II as defined in DIN 780-1 and the metric module series as defined in ISO 54:1977.
from 6 mm to 58 mm
0,5 0,6 0,75 0,8 1 1,25 1,5 1,75 2 2,5 3 4 5 6
7 12 10 8 7
8 14 12 9 8 6
9 16 13 10 10 7
10 18 15 12 11 8 6
11 20 17 13 12 9 7
12 22 18 14 13 10 8 6
13 24 20 16 15 11 9 7 6
14 26 22 17 16 12 10 8 6
15 28 23 18 17 13 10 8 7 6
16 30 25 20 18 14 11 9 8 6
17 32 27 21 20 15 12 10 8 7
18 34 28 22 21 16 13 10 9 7
19 36 30 24 22 17 14 11 9
20 38 32 25 23,24 18 14 12 10 8 6
21 40 34 26 25 19 15 12 10
22 42 35 28 26 20 16 13 11 9 7 6
23 44 37 29 27 22 17 14 12
24 46 38 30 28 22 18 14 12
25 48 40 32 30 24 18 15 13 11 8 7
26 50 42 33 31 24 19 16 13
27 52 44 34 32 26 20 16 14
28 54 45 36 34 26 21 17 14 12 10 8
29 56 47 37 35 28 22 18 15
30 58 48 38 36 28 22 18 16 13,14 10 8
31 60 50 40 37 30 23 19 16
32 62 52 41 38 30 24 20 17 14 11 9 6
33 64 54 42 40 32 25 20 17
34 66 55 44 41 32 26 21 18
35 68 57 45 42 34 26 22 18 16 12 10 7
36 70 58 46 44 34 27 22 19
37 72 60 48 45 36 28 23 20 17 13 11 8
38 74 62 49 46 36 29 24 20 18 14 11 8
39 76 64 50 47 38 30 24 21
40 78 64 52 48 38 30 25 21 18 14 12 8 6
42 68 54 51 40 32 26 22 20 15 12 9 7
45 74 58 55 44 34 28 24 21 16 13,14 10 7
47 76 60 57 46 36 30 25 22 17 14 10 8
48 78 62 58 46 37 30 26 22 18 14 10 8 6
50 64 60 48 38 32 27 24 18 15 11 9 7
52 68 64 50 40 33 28 24 19 16 11 9 7
55 72 66 54 42 35 30 26 20 17 12 9 8
58 70 56 45 37 32 28 22 18 13 10 8
from 60 mm to 500 mm
0,8 1 1,25 1,5 1,75 2 2,5 3 4 5 6 8 10
60 74 58 46 38 33 28 22 18 13,14 10 8 6
62 48 40 34 30 23 19 14 11 9
65 50 42 36 31 24 20 15 11 9 7
68 53 44 37 32 26 21 15,16 12 10
70 54 45 38 34 26 22 16 12 10 7
72 56 46 40 34 27 22 16 13 10
75 58 48 41 36 28 24 17 13,14 11 8
78 60 50 43 38 30 24 18 14 11,12
80 62 52 44 38 30 25 18 14 12 8 6
82 53 45 40 31 26 19 15 12
85 55 47 41 32 27 20 15,16 13 9 7
88 57 49 42 34 28 20 16 13
90 58 50 44 34 28 21 16 13,14 10 7
92 60 51 44 35 29 22 17 14
95 62 53 46 36 30 22 18 14 10 8
98 64 54 48 38 31 23 18 15
100 64 56 48 38 32 24 18 15 11 8
105 68 58 51 40 34 25 20 16 12 9
110 72 60,61 54 42 35 26 20 17 12 9
120 66,67 58 46 38 28 22 18 13,14 10
130 64 50 42 31 24 20 15 11,12
140 68 54 45 34 26 22 16 12
150 74 58 48 36 28 24 17 13,14
160 52 38 30 25 18 14
170 55 41 32 27 20 15,16
180 58 44 34 28 21 16
190 62 46 36 30 22 17,18
200 65 48 38 32 24 18
210 68,69 51 40 34 25 20
220 42 35 26 20
240 46 38 28 22
250 48 40 30 24
260 50 42 31 24
280 54 45 34 26
300 58 48 36 28
320 62 52 38 30
340 55 41 32
360 58 44 34
380 62 46 36
400 65 48 38
420 68 51 40
440 72 54 42
450 74 55 44
460 75 56 44
480 78 58 46
500 82 61 48
6 Basic rack profile
Figure 2 shows the basic rack profile. The corresponding descriptive parameters, tooth interlock data and
calculation formulae are given in table 3.
3 profile reference line
Figure 2 : Basic rack profile
Table 3 : Basic rack profile
Parameters Sym-
Spline data and calculation formulae
Module m 0,5-0,6-0,75-0,8-1,0-1,25-1,5-1,75-2-2,5-3-4-5-6-8-10
Pitch p m ⋅ π
Number of teeth shaft z
Addendum modification shaft x
⋅ m –0,05 ⋅ m to + 0,45 ⋅ m (exceptions up to +0,879 ⋅ m)
(nominal value) hub x
⋅ m –x
⋅ m = +0,05 ⋅ m to –0,45 ⋅ m (exceptions up to – 0,879 ⋅ m)
Addendum of basic rack profile h
0,45 ⋅ m
Dedendum of basic rack profile h
0,55 ⋅ m 0,60 ⋅ m 0,65 ⋅ m 0,84 ⋅ m
= addendum of tool basic rack
broaching hobbing mill-broaching cold rolling
Tooth depth of basic rack profile h
Bottom clearance of basic rack
Root fillet radius of basic rack
0,16 ⋅ m chip-removal machining 0,54 ⋅ m cold rolling
Reference circle diameter d m ⋅ z
Base diameter d
m ⋅ z ⋅ cosα
Reference diameter d
m ⋅ z
+ 2 ⋅ x
⋅ m + 1,1 ⋅ m, . Diameters with standard numbers in
accordance with DIN 323-1 and ball/roller bearing diameters,
integer values with increments of one for the range dB < 40 mm
and m ≤ 1,75 mm.
Tip circle diameter of hub d
⋅ m + 0,9 ⋅m
Root circle diameter of hub d
⋅ m – 2 ⋅ h
(see 7.1)
Root form circle diameter of hub d
≤ – ( d
+ 2 ⋅ c
Tip circle diameter of shaft d
⋅ m + 0,9 ⋅ m
Root circle diameter of shaft d
Base form circle diameter of shaft d
≤ | d
| – 2 ⋅ c
Form clearance of basic rack
0,02 ⋅ m 0,07 ⋅ m 0,12 ⋅ m 0,12 ⋅ m
Minimum form clearance c
Nominal space width of hub e
Nominal tooth thickness of shaft s
m ⋅ π/2 + 2 ⋅ x
⋅ m ⋅ tanα
In the formulae given in table 3, the signs for the number of teeth and addendum modification factors of
internal gear splines as defined in DIN 3960 have been introduced in order to facilitate the use of computers
for all calculations in respect of fitted splined connections. These lead to negative signs for all hub diameters
and dimensions (see DIN 3960). In the tables of dimensions given in DIN 5480-2, only the absolute values of
diameters and inspection dimensions are listed, i. e. the values are to be understood as absolute values in
order to avoid any misunderstanding.
Tl· form clearance c
is the distance between the effective root circle diameter and the root form circle
diameter created by the tool. Tl· minimum form clearance c
values given in table 4 provide an adequate
excess length of the root involute so that disturbance-free contact between the involute flanks of the hub and
shaft is ensured even when there are eccentricities in the motion of the interacting tip circle.
Table 4 : Minimum form clearance
Minimum form clearance
1,75 to 4
Up to and including12 25 – –
13 to 25 28 30 –
26 to 50 30 35 40
51 to 100 35 40 45
101 to 200 40 45 50
201 to 400 – 50 55
Greater than 400 – – 65
The DIN 5480 series of standards applies to flank-centred fitted splined connections. The flanks of the teeth
are used both for transmitting the torque and for centring the hub and shaft relative to one another. This
standard can also be applied, however, to design diameter-centred connections.
7.1 Diameters in flank-centred fitted splined connections
In flank-centred connections, the flanks of the teeth serve to transmit the forces as well as to centre the parts.
The diameters of the tip and root circles of the shaft differ from the respective diameters of the hub by at least
the bottom clearance c (see figure 3).
The fit and the centring accuracy are determined by the deviations of the space widths and thicknesses as
well as by the tolerances achieved or specified. For limits of centring accuracy, see DIN 5466-1. The property
defining the fit is the fit of the flanks, the backlash. Refer to clause 10 for the relationship between space width
tolerance and tooth thickness tolerance, measurement methods, spline mesh quality and backlash.
The nominal dimensions of the root circle diameters of flank-centred joints are the “theoretical root circle
diameters” calculated using h
= 0,55 ⋅ m. The deviations applicable to chip-cutting manufacturing methods
cover the associated maximum possible dedendum h
= 0,65 ⋅ m and the root diameter deviations, which
correspond to the space width / tooth thickness tolerance fields 9H and 11a. These determine the design
dimension of the connection diameters where the chip-cutting manufacturing method is not yet known and the
tool run-out spaces are free. The machining-method-dependent root circle diameters of shafts created by
hobbing can be calculated by subtracting 0,1•m; those of hubs with teeth made by mill-broaching by adding
0,2•m , and those of shafts with teeth made by mill-broaching by subtracting 0,2•m from the theoretical root
circle diameters. Correspondingly, the absolute values of the deviations must then be reduced by 0,1•m or
0,2•m, respectively. The deviations applicable to cold-rolling splines for shaft connections cover the associated
dedendum h
= 0,84 ⋅ m and the root circle deviations which would be needed to implement fully-rounded
roots at a tolerance 11 and deviation a. They determine the design value of the connection diameter. Root
circle diameters of shafts with cold-rolled splines are calculated by subtracting 0,58•m from the theoretical root
circle diameters. Refer to table 5 for recommended tolerance fields and deviations of the root circle and tip
circle diameters.
The exact root circle diameters of hubs and shafts with splines created by rolling are calculated using the
formulae given in DIN 5480-16, taking into account the particular features of the respective rolling method, the
deviations of the space widths and tooth thicknesses and, where necessary, a machining addition. DIN 5480-
16 also contains formulae for calculating the exact root circle diameters of shafts with cold-rolled splines.
Figure 3 : Bottom clearance of flank-centred connections
7.2 Diameters for diameter-centred fitted splined connections
Diameter-centred connections are centred on the outer diameters (hub root circle diameter and shaft tip circle
diameter = external diameter centring) or on the inner diameters (hub tip circle diameter and shaft root circle
diameter = internal diameter centring). The teeth merely serve to transmit the forces. Such connections must
always be given enough backlash in order to prevent over-determination of the centring (see figures 4 and 5).
The fit and accuracy of concentricity are determined by the selected ISO tolerance fields of the centring
The nominal dimensions of the centring diameters of diameter-centred connections are the reference
diameters for external diameter centring or of the hub tip circle diameters for internal diameter centring.
In the case of numbers of teeth which are not prime numbers, the centring surfaces can be widened by
multiple teeth on the shaft and multiple spaces in the hub, for instance in order to make diameter-centred
connections stronger or to allow diameter centring with small modules (see figure 1).
Diameter-centred connections necessitate greater manufacturing effort due to the small tolerances of the
centring diameters and the measures required to limit the offsets between the centring diameter centre and
the centre of the tooth circle. These should therefore only be used in a few exceptional cases.
See table 5 for recommended tolerance fields of the root circle and tip circle diameters.
7.2.2 External diameter centring
The parameters for the fit of such connections are:
 the clearance between the hub root circle diameter and the shaft tip circle diameters, which are both
assigned the same nominal dimension d
, i. e., d
are both equal to d
 the flank backlash which, because of the centring action of the flank fit, must always be positive and large
enough to prevent overdetermination of the centring.
The edges of the tip lands of teeth on external-diameter centred shafts must be chamfered (a minimum value
= 0,1•m is recommended) in order to prevent interference with the fillets of the roots of the hub teeth,
see figure 4. Refer to table 5 for recommended tolerance fields of the root circle and tip circle diameters.
Figure 4 : External diameter centring
7.2.3 Internal diameter centring
 the clearance between the tip circle diameter d
of the hub and the root circle diameter d
(which is the centring diameter in this case), both of which are assigned the same nominal diameter here;
see figure 5. Refer to table 5 for recommended tolerance fields of the root circle and tip circle diameters.
Figure 5 : Internal diameter centring
Table 5 : Recommended tolerances and deviations for tip and root circle diameters
Diameter centring
Flank centring
Tip circle diameter of hub, d
H11 H11 H7
Tip circle diameter of shaft, d
h11 h6 h11
Deviation for the hub root circle
= (0,2 ⋅ m + 1,73 ⋅ (A
Deviation for the shaft root circle
Chip-removal machining:
= –(0,2 ⋅ m + 1,73 ⋅ (–A
Cold rolling: A
= – 0,76 ⋅ m (max.)
h14 h6
in series 9H (see 7.1).
in series a11 (see 7.1).
For flank fit: 9H/9e.
Fitted splined connections in accordance with this standard are designated by the main standard number (i. e.
DIN 5480), an N for a hub or W for a shaft, followed by an A for externally-centred connections or an I for
internally-centred connections (only in the case of diameter-centred connections), then by the module, the
number of teeth, the tolerance class and the deviation series. For diameter-centring, the tolerance class and
the deviation series are placed in front of the respective data of the tooth flanks.
Designation of a flank-centred fitted splined connection
Module m 3 mm
Number of teeth z 38
Flank fit 9H 8f
Fitted splined connection DIN 5480 – 120 × 3 × 38 × 9H 8f
Hub DIN 5480 – N 120 x 3 × 38 × 9H
Shaft DIN 5480 – W 120 × 3 × 38 × 8f
Designation of a diameter-centred fitted splined connection
Flank fit 9H 9e
Diameter fit H7 h6
Fitted splined connection DIN 5480 – A 120 × 3 × 38 × H7 h6 × 9H 9e
Hub DIN 5480 – NA 120 × 3 × 38 × H7 × 9H
Shaft DIN 5480 – WA 120 × 3 × 38 × h6 × 9e
l\^Hl¦l 3
Designation of an external-diameter-centred fitted splined connection with double teeth on the shaft
Fitted splined connection DIN 5480 – A 120 × 3 × 19 (38) × H7 h6 × 9H 9e
Hub DIN 5480 – NA 120 × 3 × 19 (38) × H7 × 9H
Shaft DIN 5480 – WA 120 × 3 × 19 (38) × h6 × 9e
l\^Hl¦l 1
Designation of an internal-diameter-centred fitted splined connection
Fitted splined connection DIN 5480 – I 120 × 3 × 38 × H7 h6 × 9H 9e
Hub DIN 5480 – NI 120 × 3 × 38 × H7 × 9H
Shaft DIN 5480 – WI 120 × 3 × 38 × h6 × 9e
9 Data to be shown on drawings
9.1 Data table
The geometrical data for the teeth are too extensive to be written directly in the drawings as dimensions. It is
therefore recommended that these be indicated in the form of a data field, see figure 6.
Hub DIN 5480 – N120 × ×× × 3 × ×× × 38 × ×× × 9H Shaft DIN 5480 – W120 × ×× × 3 × ×× × 38 × ×× × 8f
Number of teeth z 38 Number of teeth z 38
Module m 3 Module m 3
Pressure angle α 30° Pressure angle α 30°
120 + 0,76 Tip circle diameter
Root form circle diameter
113,91 max.
114 H11 Root circle diameter, cold-
113,4 – 1,74
Actual maximum space width
6,361 Max. effective tooth
Actual minimum reference
6,305 Actual maximum reference
Minimum effective space
6,271 Actual minimum tooth
Measuring circle diameter
5,250 Measuring circle diameter
Max. dist. betw. measuring
109,266 Max. ref. dimension over
Min ref. dist. betw.
(109,169) Min. dimension over
Figure 6 : Example of a data field in a drawing
If the method of measurement has to be specified, it is also possible to state a measuring ball or measuring
pin diameter instead of the measuring circle diameter. The dimension over or between measuring circles is
then stated either as the dimension over or between balls or pins, accordingly. The designations given in
DIN 3960 for gear teeth are also permitted.
9.2 Indication of individual deviations
Guideline values for individual deviations can be entered directly in the data field in addition. However, in this
case a note must be added stating that the GO gauge has priority. This means that the respective workpieces
may not be rejected because of individual deviations. If, in special cases, it is necessary to state permissible
individual deviations as a tolerance, this shall be identified as such by the supplementary note “max.”.
9.3 Statistical actual tolerance limit (STA)
Particularly when a dimension is checked across and between measurement circles, the actual measurement
will depend very strongly on the angular position and the measuring plane. If very many measurements are
taken in different angular positions and measuring planes, it may be useful to apply statistical concepts when
evaluating the actual tolerance limit. This avoids excessive reject rates, which would not occur if fewer
measurements were to be taken. The statistical actual tolerance limit permits a certain number of
measurements to exceed the tolerance limits by a specific value. For details, see DIN 5480-15, 5.3.6. Where
necessary, the data for the statistical actual tolerance limit STA are entered at the bottom of the data field of
the fitted splined connection.
9.4 Representation in drawings
DIN ISO 6413 specifies how fitted splined connections are to be represented in drawings.
10 Fit system for space width / tooth thickness
The flanks of the teeth of fitted splined connections are used both for transmitting the torque and for centring
the hub and shaft relative to one another. The difference between the space width and the tooth thickness
determines the rotational backlash. For space widths of hubs and tooth thicknesses of shafts, this standard
provides deviation series and tolerances based on the nominal dimensions, see figure 7. The deviation series
permits the definition of free fits, transitions fits and interference fits.
The tolerance classes define the
Figure 7 : Schematic diagram of space width / tooth thickness fit
10.2 Structure of the tolerance system
The tolerance system of fitted splined connections is based on the theoretical minimum fit clearance. A design
fit clearance of zero ensures that the hub can be fitted on the shaft. For a minimum fit clearance of zero, it is
better to set the effective tolerance limits to the dimension of the nominal space width e
and the nominal tooth
10.3 Deviations
Both positive and negative minimum fit clearances can be designed using the space width deviation A
the tooth thickness deviation A
. The magnitudes of the deviations are identified by upper-case characters and
max. actual tolerance limit
min. actual reference mark
min. effective tolerance limit
space width/tooth thickness e
max. effective tolerance limit
max. actual reference mark
min. actual tolerance limit
can be selected individually for hubs and shafts as shown in table 9.
There are six deviations, from F to M for
hubs and 18 deviations from v to a for shafts.
The theoretical maximum fit clearance is determined by adding the deviations and the tolerance values of the
overall tolerances T
for the hub and the shaft. The overall tolerance combines the actual tolerance and the
effective tolerance. Eight tolerance classes are available for the magnitude of the overall tolerances of hubs
and shafts. They determine the magnitude of the overall tolerance as well as the actual and effective
individual tolerances. These have predefined relationships to one another. In practice, the size of the actual
in relationship to the effective tolerance T
within the overall tolerance T
varies very strongly.
A ratio of T
≈ 1,6 has been chosen in this standard as this seemed to be most suitable. If it becomes
necessary to change the size ratio, then the actual tolerances and the effective tolerances as stated in this
standard can be selected separately from the different tolerance classes and will, when added, lead to an
overall tolerance deviating from this standard.
The actual tolerance provides for the wear-dependent change of tool dimensions, the infeed accuracy of
machine tools and dimension deviations in heat treatment. In the data field of the workpiece drawing, it is
given as the actual tolerance limit and as the reference mark actual Ref. Since it is difficult to measure tooth
thickness and space widths directly, they are converted to dimensions across and between measuring circles
and are entered in this form into the data field. In practice, measuring balls or measuring pins are used as
measuring circles. The manufacturing tolerance should be at least twice the expected tooth thickness
For fitted splined connections, the effective tolerance is stated separately. This is necessary because the fit is
created for all left and right flanks of all teeth. The flanks of the teeth are subject to individual deviations from
the profile, the flank line and the pitch. These deviations reduce the fit clearance of a fitted splined connection
so severely that provision must be made for this reducing effect. In hubs, the superposition of all individual
deviations leads to an effective space width that is smaller than the actual space that can be measured. In
shafts, the superposition of all individual deviations lead to an effective tooth thickness that is greater than the
actual thickness which can be measured.
10.7 Design specifications
When designing a fitted splined connection, the maximum and minimum permissible fit clearance is defined in
the technical specifications. Given these values, it is the designer's task to select the deviations and tolerance
classes. A certain amount of experience is needed in selecting the deviations and tolerances suitable for
10.8 Calculation of tolerance limits
Tolerance limits are calculated on the basis of the nominal space width e
of the hub and the tooth thickness
, using the formulae given in table 6. The deviations A
as well as the tolerances T
tolerance class are selected as shown in table 7.
Table 6 : Calculation of tolerance limits
Space width max. actual
Space width min. actual Ref.
Space width min. effective
Tooth thickness max. effective
Tooth thickness max. actual Ref.
Tooth thickness min. actual
In addition to showing the actual and effective tolerances, table 7 also contains guideline values for individual
deviations F
. These values do not constitute a tolerance, but are used to track down the cause
of nonconformities in cases where GO gauges will not fit. If a GO gauge does fit, this will in all cases
effectively ensure adherence to the tolerance limit.
10.9 Deviations and tolerances
Table 7 : Deviations and tolerances
Example: shaft
0ev|al|or ser|es
To|erarce
tolerances in µm
Reference diameters
Standard values for individual
deviations in µm
dev|al|ors: space W|dlr ard loolr lr|c|ress |r µr
up lo |erglr (rr)
10.10 Guide values for radial runout
Radial runout is largely a deviation of position and is specified relative to other geometrical elements. It is not
possible to state standard values for this. Table 8 shows, as guide values, radial runouts of the reference
circle of external splines relative to a reference axis.
Table 8 : Guide values for radial runout
Reference circle diameter
< 18 20
18 to < 30 30
30 to < 50 40
50 to < 100 50
100 to < 200 60
200 to < 500 80
10.11 Implementation of fit types
Interference fits, transitional fits and free fits can be implemented by applying the deviation and tolerance
combinations given in table 9, for example.
Table 9 : Types of fit
Deviations / tolerances
Rough interference fit 9H 9v
Fine interference fit 7H 8H 7p 8s
Rough transitional fit 9H 9p
Fine transitional fit 7H 8H 7m 8n
Rough free fit 9H 9g 9e 9d 10c 11a
Fine free fit 7H 8H 7h 7g 8f
10.12 Quality assurance
Quality assurance is described in DIN 5480-15. Compliance with the effective tolerance limit is checked using
fully-splined GO gauges. Actual tolerance limits are checked with the aid of the auxiliary dimensions across
and between measuring circles (using measuring balls or pins), or alternatively using sector NOT GO gauges.
The method of calculating the inspection dimensions over and between measuring circles from the
dimensions of the space widths and the tooth thicknesses is described in DIN 5480-15, 5.2.4.3. As an
alternative, this can also be done using the deviation factors as described in DIN 5480-2.
Deviation of the measurements between/over measuring circles:
A A A ⋅ = (3)
A A A ⋅ = (4)
DIN 3961, Tolerances for cylindrical gear teeth; basics
DIN 3977:1981-02, Measuring element diameters for the radial or diametral dimension for testing tooth
thickness of cylindrical gears
DIN ISO 6413:1990-03, Technical drawings; representation of splines and serrations; identical with
ISO 54:1996, Cylindrical gears for general engineering and for heavy engineering - Modules
ISO 4156, Straight cylindrical involute splines; Metric module, side fit
Foreword..............................................................................................................................................................4 1 2 3 4 5 6 7 7.1 7.2 7.2.1 7.2.2 7.2.3 8 9 9.1 9.2 9.3 9.4 10 10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 10.9 10.10 10.11 10.12 Scope ......................................................................................................................................................5 Normative references ............................................................................................................................5 Symbols, designations and units.........................................................................................................6 Structure .................................................................................................................................................8 Preferred series of modules, reference diameters and numbers of teeth .......................................9 Basic rack profile .................................................................................................................................12 Diameters..............................................................................................................................................14 Diameters in flank-centred fitted splined connections....................................................................14 Diameters for diameter-centred fitted splined connections ...........................................................15 General..................................................................................................................................................15 External diameter centring .................................................................................................................16 Internal diameter centring...................................................................................................................16 Designations ........................................................................................................................................17 Data to be shown on drawings...........................................................................................................19 Data table..............................................................................................................................................19 Indication of individual deviations.....................................................................................................19 Statistical actual tolerance limit (STA) ..............................................................................................20 Representation in drawings................................................................................................................20 Fit system for space width / tooth thickness....................................................................................21 General..................................................................................................................................................21 Structure of the tolerance system......................................................................................................21 Deviations.............................................................................................................................................21 Overall tolerance TG ............................................................................................................................22 Actual tolerance Tact ............................................................................................................................22 Effective tolerance Teff ........................................................................................................................22 Design specifications ..........................................................................................................................22 Calculation of tolerance limits............................................................................................................22 Deviations and tolerances ..................................................................................................................24 Guide values for radial runout............................................................................................................25 Implementation of fit types .................................................................................................................25 Quality assurance ................................................................................................................................25
Bibliography ......................................................................................................................................................27
......................................................................................................................................................................................... reference diameters dB from 60 mm to 500 mm ..................................................................................23 Table 7 : Deviations and tolerances ............................................................................................................14 Table 5 : Recommended tolerances and deviations for tip and root circle diameters ................................................................19 Figure 7 : Schematic diagram of space width / tooth thickness fit ................ 3 Uncontrolled copy when printed ........21 Tables Table 1 : Preferred series....................................................................................25 See foreword for relationship to the International Standard ISO 4156................................................................11 Table 3 : Basic rack profile ....................13 Table 4 : Minimum form clearance ............................................................................... published by the International Organization for Standardization...............9 Figure 2 : Basic rack profile .......... reference diameters dB from 6 mm to 58 mm ..................................................................................................................16 Figure 6 : Example of a data field in a drawing ..................................................................................15 Figure 4 : External diameter centring.............24 Table 8 : Guide values for radial runout............................................................................................................................................................................................................................................................25 Table 9 : Types of fit.......................................................................16 Figure 5 : Internal diameter centring ......................................................12 Figure 3 : Bottom clearance of flank-centred connections..............................10 Table 2 : Preferred series......17 Table 6 : Calculation of tolerance limits....................................................................................................................................................DIN 5480-1 Illustrations Page Figure 1 : Double teeth...............
Amendments This standard differs from the DIN 5480-1:1991-04 and DIN 5480-14:1986-03 editions as follows : a) b) c) d) e) 4 the title has been changed to “Splined connections with involute splines based on reference diameters”. This part combines the contents of all the former parts DIN 5480-2 … DIN 5480-13. but now also includes fit dimensions and tolerances.5° and 45° are . DIN 5480-15 covers quality inspections of fitted splined connections. Foreword This series of standards deals with involute splines and interacting involute splines in the ranges module 0. These are not interchangeable with involute splines as described by the DIN 5480 series of standards. and the entire contents of DIN 5480-14:1986-03 have been integrated into DIN 5480-1. This makes it possible to adapt the gears to standardized ball and roller bearing diameters and to reduce the number of different tools required for manufacturing. This series of standards has been revised by Technical Committee 2. DIN 5480-2 now contains the nominal dimensions and inspection dimensions for the range of items stated above. cold-rolling has been included as a manufacturing process for shafts. these being formerly contained in DIN 5480-14:1986-03. Involute splines in accordance with ISO 4156 are based on series of modules. The entire series of standards now consists of only four parts instead of the previous sixteen. tolerances and deviations contained in Part 1 also apply to the other parts of this series of standards. DIN 5480 Splined connections with involute splines based on reference diameters now comprises:     Part 1: Principles Part 2: Nominal dimensions and inspection dimensions Part 15: Inspection Part 16: Tools The new edition of DIN 5480-1 deals with fundamental principles. editorial revisions have been made. useful and sensible manner. DIN 5480-16 defines the design features of tools for manufacturing items with involute splines. covered by ISO 4156. the full root radius has been included for shafts. The object of the revision was to combine the individual parts of this standard in a practical. Uncontrolled copy when printed . with a number of teeth ranging from 6 to 82 and a pressure angle of 30° The DIN 5480 series of . The DIN 5480 series of standards is based on reference diameters that are independent of the module.5 to 10. the same as its predecessor.DIN 5480-1 Validity This standard is valid from 2006-03-01 onwards. standards is limited to splines with a pressure angle of 30° since pressure angles of 37. The revision was considered necessary since a review of the DIN 5480 series of standards in accordance with DIN 820-4 had shown that the series had structural and editorial weaknesses.1 Passverzahnungen (NAM “Involute splines”). The calculation formulae.
basic values. 2 Normative references This standard incorporates. For undated references. 1991-10 DIN 5480-14: 1966-12. modules for spur gears DIN 3960. rounded values DIN 780-1. only the edition referred to applies to this standard. 1974-09. a sliding fit or a permanent fit. DIN 323-1. For dated references. 1986-03 1 Scope This standard applies to splined connections with involute splines based on reference diameters for connecting hubs and shafts either with a removable connection. provisions from other publications. 1974-09. the basic rack profile is the same for all pitches. application of profile displacements in order to achieve specific reference diameters. and the range of various dimension series and tolerance classes takes due consideration of all requirements. Preferred numbers and series of preferred numbers. 1986-03. meaning that the effect of such deviations on the fit backlash is taken into account. diameter-centring is allowed. by dated or undated reference. It lays down the following fundamental principles: a) b) c) d) e) standardized uniform pressure angle of 30° . Definitions. Splined connections with involute splines based on reference diameters – tools DIN ISO 6413. Series of modules for gears. the fit system includes tolerances for effective form deviations. parameters and equations for involute cylindrical gears and gear pairs DIN 5480-2.DIN 5480-1 Previous editions DIN 5480-1: 1966-12. flank centring. Splined connections with involute splines based on reference diameters – nominal dimensions and inspection dimensions DIN 5480-15. therefore applying a uniform design rule to all profiles. the latest edition (including all amendments) of the publication referred to applies.calculated values. Technical drawings – representation of splines and serrations 5 Uncontrolled copy when printed . Splined connections with involute splines based on reference diameters – quality inspection DIN 5480-16. in exceptions.
DIN 5480-1 3 c cF cFP Symbols. designations and units Designation bottom clearance form clearance form clearance of basic rack profile minimum form clearance reference circle diameter tip circle diameter tip circle diameter of shaft tip circle diameter of hub base diameter root circle diameter root circle diameter of shaft root circle diameter of hub reference diameter root form circle diameter of shaft root form circle diameter of hub effective root circle diameter Symbol Unit mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm µm mm mm mm mm mm mm mm mm mm mm mm mm mm cF min d da da1 da2 db df df1 df2 dB dFf1 dFf2 dNf e e2 emax emin evmin fp h haP haP0 hfP hK hP k m p s s1 smax smin sv max 6 space width on hub nominal space width on hub actual maximum space width actual minimum reference space width minimum effective space width individual pitch deviation tooth depth addendum of basic rack profile addendum of tool basic rack profile dedendum of basic rack profile radial height of top land chamfer or rounding tooth depth of basic rack profile number of teeth measured for face width measurement module pitch shaft tooth thickness nominal shaft tooth thickness actual maximum reference tooth thickness actual minimum tooth thickness maximum effective tooth thickness Uncontrolled copy when printed .
actual space width tooth thickness tolerance. effective space width total tooth thickness/space width tolerance shaft shaft centred on external diameter shaft centred on internal diameter base tangent length over k teeth pressure angle press-fit angle root fillet radius of basic rack profile Unit mm mm mm mm mm mm mm mm mm mm µm µm µm µm mm mm mm mm mm mm mm ° ° mm α αv ρ fP 7 Uncontrolled copy when printed .DIN 5480-1 Symbol x x⋅m z A Adf1 Adf2 Ae As AM1 AM2 AWk A*M1 A*M2 A*Wk DM Fα Fβ Fp Fr M1 M2 N NA NI RS Tact Teff TG W WA WI Wk Designation addendum modification factor addendum modification number of teeth deviation deviation of shaft root circle diameter deviation of hub root circle diameter space width deviation tooth thickness deviation deviation of inspection dimension M1 deviation of inspection dimension M2 deviation of base tangent length Wk deviation factor for inspection dimension M1 deviation factor for inspection dimension M2 deviation factor for base tangent length Wk measuring circle diameter total profile deviation total helix deviation total pitch deviation runout dimension over measuring circles dimension between measuring circles hub hub centred on external diameter hub centred on internal diameter tooth thickness variation tooth thickness tolerance.
Even numbers of teeth have been given preference in tables 1 and 2.5•m .45. 8 Uncontrolled copy when printed . In connections centred on any reference diameter. the module and the number of teeth. Values of –0.05 ⋅ m and –0. The selection of nominal dimensions is essentially determined by the following condition: the shaft cross section remaining available for transmitting torques shall not be reduced more than is necessary to permit easy slip-fitting of components such as. which means that the addendum modification can also assume the minimum value (x1 = –0.45) have been permitted for some larger numbers of teeth z1 ≥ 60) in order to enable even numbers of teeth to be produced and to avoid using prime numbers.2. the maximum value of the addendum modification (x1 = +0. the limits for the nominal addendum modification of hubs are specified as +0.45 ⋅ m . Exceptions (x1 >+ 0. In such cases. Depending on the respective reference diameter. calculations for the number of teeth for tables 1 and 2 using the formulae given in table 3 will result either in a number teeth with addendum modifications that are within the specified limits or in two consecutive numbers of teeth with equal limit values x1 = –0. corresponds to a difference of 1 tooth. and the even number of teeth is taken for connections with z ≥ 10 to facilitate the production of double teeth on shafts or hubs. this condition is met by making the reference diameter equal to the bore of the bearing and then modifying the profiles of the teeth of the hub and the shaft accordingly. since the effect of the addendum modifications on the fit angles αv on the V circle decreases as the number of teeth increases. Figure 1 shows an externally-centred shaft with splines. The double spaces of the associated hub or of an internally centred shaft cannot be measured using balls or pins.05 and +0. for instance. ball or roller bearings. The mean fit angles range from 30° to more than 40° . 0. since this range of addendum modifications. The reasons for this are explained in subclause 7.45 ⋅ m are specified as limits for the nominal addendum modification of shafts.DIN 5480-1 Subscript Refers to a e f s v F tooth tip space width root of tooth tooth thickness effective tolerance limit form diameter Subscript Refers to G K N P act eff total tip land chamfer effective diameter basic rack profile actual effective Index 0 1 2 * Refers to tool shaft hub deviation factor 4 Structure The tooth interlock of a shaft and hub splined connection is determined by the basic rack profile.45 ⋅ m . the reference diameter.05 ⋅ m to +0. The numbers of teeth are selected in such a way that the addendum modification necessitated by the reference diameter is kept within the range x1 ⋅ m = –0.05 ⋅ m and +0.05).45) is taken for connections with z < 10. GO/NOT GO gauges are required.
then the measurements given in the tables can be converted.2 = A * M1. M 1. A number of teeth expressed as 6 (12) indicates six double teeth out of a total of 12: EXAMPLE: DIN 5480 – WA 17 × 1. The module series corresponds to the module series I and II as defined in DIN 780-1 and the metric module series as defined in ISO 54:1977. M2 must be a negative value.25 × 6 (12) × h6 × 9e 5 Preferred series of modules.DIN 5480-1 Figure 1 : Double teeth If the number of spaces which can measured using pins is an odd number.2 Tabelle − DM ) ⋅ cos( π /(2 ⋅ z )) + DM A *M 1.2 Tabelle ⋅ cos( π /( 2 ⋅ z )) (π is the angle in radians) (1) (2) In keeping with the rule defined in DIN 3960. The symbol z then represents the new odd number of spaces. 9 Uncontrolled copy when printed . reference diameters and numbers of teeth This standard offers a large selection of fitted splined connections.2 = ( M 1.
24 25 26 27 28 30 31 32 34 35 36 37 38 40 41 42 44 45 46 47 48 51 55 57 58 60 64 66 70 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 22 22 24 24 26 26 28 28 30 30 32 32 34 34 36 36 38 38 40 44 46 46 48 50 54 56 6 7 8 9 10 10 11 12 13 14 14 15 16 17 18 18 19 20 21 22 22 23 24 25 26 26 27 28 29 30 30 32 34 36 37 38 40 42 45 6 7 8 8 9 10 10 11 12 12 13 14 14 15 16 16 17 18 18 19 20 20 21 22 22 23 24 24 25 26 28 30 30 32 33 35 37 6 6 7 8 8 9 9 10 10 11 12 12 13 13 14 14 15 16 16 17 17 18 18 19 20 20 21 21 22 24 25 26 27 28 30 32 18 20 21 22 22 24 24 26 28 14 15 16 17 18 18 19 20 22 12 12 13. reference diameters dB from 6 mm to 58 mm dB mm Number of teeth z for module m 0.5 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 0.25 1.14 10 8 12 10 8 11 8 7 9 7 6 8 6 6 6 7 7 1 1.DIN 5480-1 Table 1 : Preferred series.75 6 8 9 10 12 13 14 16 17 18 20 21 22 24 25 26 28 29 30 32 33 34 36 37 38 40 41 42 44 45 46 48 49 50 52 54 58 60 62 64 68 72 0.75 2 2.5 3 4 5 6 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 42 45 47 48 50 52 55 58 10 Uncontrolled copy when printed .8 6 7 8 10 11 12 13 15 16 17 18 20 21 22 23.6 8 10 12 13 15 17 18 20 22 23 25 27 28 30 32 34 35 37 38 40 42 44 45 47 48 50 52 54 55 57 58 60 62 64 64 68 74 76 78 0.5 1.14 14 14 15 16 17 18 8 9 10 10 10 11 11 12 13 6 7 7 8 8 9 9 9 10 6 7 7 8 8 17 18 13 14 11 11 8 8 16 12 10 7 14 11 9 6 13.
14 14 14 15 15.12 12 12 13 13 13.5 38 40 42 44 45 46 48 50 52 53 55 57 58 60 62 64 64 68 72 1.75 33 34 36 37 38 40 41 43 44 45 47 49 50 51 53 54 56 58 60.69 4 13.14 14 14 15 15 16 17 18 20 22 24 25 27 28 30 32 34 35 38 40 42 45 48 52 55 58 62 65 68 72 74 75 78 82 8 6 7 7 8 8 9 10 10 11 12 12 13.DIN 5480-1 Table 2 : Preferred series.61 66.8 74 1 58 1.14 14 15.67 2 28 30 31 32 34 34 36 38 38 40 41 42 44 44 46 48 48 51 54 58 64 68 74 2.16 16 16 17 18 18 18 20 20 22 24 26 28 30 32 34 36 38 40 42 46 48 50 54 58 62 6 8 9 9 10 10 10 11 11.16 16 16 17 18 18 19 20 20 21 22 22 23 24 25 26 28 31 34 36 38 41 44 46 48 51 5 10 11 11 12 12 13 13.5 22 23 24 26 26 27 28 30 30 31 32 34 34 35 36 38 38 40 42 46 50 54 58 3 18 19 20 21 22 22 24 24 25 26 27 28 28 29 30 31 32 34 35 38 42 45 48 52 55 58 62 65 68.25 46 48 50 53 54 56 58 60 62 1.12 12 13.14 14 15 15.16 16 17.18 18 20 20 22 24 24 26 28 30 32 34 36 38 40 42 44 44 46 48 10 60 62 65 68 70 72 75 78 80 82 85 88 90 92 95 98 100 105 110 120 130 140 150 160 170 180 190 200 210 220 240 250 260 280 300 320 340 360 380 400 420 440 450 460 480 500 11 Uncontrolled copy when printed . reference diameters dB from 60 mm to 500 mm dB mm Number of teeth z for module m 0.14 15 16 17 18 20 21 22 24 25 26 28 30 31 34 36 38 41 44 46 48 51 54 55 56 58 61 6 7 7 8 8 9 9 10 11.
The corresponding descriptive parameters. Key 1 2 3 shaft hub profile reference line Figure 2 : Basic rack profile 12 Uncontrolled copy when printed . tooth interlock data and calculation formulae are given in table 3.DIN 5480-1 6 Basic rack profile Figure 2 shows the basic rack profile.
5-3-4-5-6-8-10 30° m⋅π z1 –z1 –0.9 ⋅ m m ⋅ z1 + 2 ⋅ x1 ⋅ m – 2 ⋅ hfP (see 7. m ⋅ z2 + 2 ⋅ x2 ⋅ m + 0.02 ⋅ m broaching see table 4 e2 = s 1 m ⋅ π/2 + 2 ⋅ x1 ⋅ m ⋅ tanα 0.8-1.60 ⋅ m hobbing 0.84 ⋅ m cold rolling Addendum modification shaft (nominal value) hub Addendum of basic rack profile Dedendum of basic rack profile = addendum of tool basic rack profile Tooth depth of basic rack profile Bottom clearance of basic rack profile Root fillet radius of basic rack profile Reference circle diameter Base diameter Reference diameter = haP0 broaching hP cP haP + hfP hfP – haP ρfP d db dB 0.5-0.75 mm.45 ⋅ m 0.65 ⋅ m mill-broaching 0.1 ⋅ m.1) ≤ | da2 | – 2 ⋅ cFmin 0.5-1.05 ⋅ m to –0.879 ⋅ m) 0.12 ⋅ m mill-broaching 0. the signs for the number of teeth and addendum modification factors of internal gear splines as defined in DIN 3960 have been introduced in order to facilitate the use of computers 13 Uncontrolled copy when printed .75-2-2.25-1.DIN 5480-1 Table 3 : Basic rack profile Parameters Symbol Spline data and calculation formulae Module Pressure angle Pitch Number of teeth m α p shaft hub z1 z2 x1 ⋅ m x2 ⋅ m haP hfP 0.1) ≤ – ( da1 + 2 ⋅ cFmin) m ⋅ z1 + 2 ⋅ x1 ⋅ m + 0.05 ⋅ m to + 0.55 ⋅ m 0.16 ⋅ m chip-removal machining m⋅z m ⋅ z ⋅ cosα 0. .54 ⋅ m cold rolling m ⋅ z1 + 2 ⋅ x1 ⋅ m + 1. integer values with increments of one for the range dB < 40 mm and m ≤ 1.07 ⋅ m hobbing 0. Diameters with standard numbers in accordance with DIN 323-1 and ball/roller bearing diameters.75-0.879 ⋅ m) –x1 ⋅ m = +0.45 ⋅ m (exceptions up to +0.6-0.9 ⋅m m ⋅ z2 + 2 ⋅ x2 ⋅ m – 2 ⋅ hfP (see 7.45 ⋅ m (exceptions up to – 0.0-1.12 ⋅ m cold rolling Tip circle diameter of hub Root circle diameter of hub Root form circle diameter of hub Tip circle diameter of shaft Root circle diameter of shaft Base form circle diameter of shaft Form clearance of basic rack profile Minimum form clearance Nominal space width of hub Nominal tooth thickness of shaft da2 df2 dFf2 da1 df1 dFf1 cFP cFmin e2 s1 In the formulae given in table 3.
The flanks of the teeth are used both for transmitting the torque and for centring the hub and shaft relative to one another. i. This standard can also be applied. however. the flanks of the teeth serve to transmit the forces as well as to centre the parts. These lead to negative signs for all hub diameters and dimensions (see DIN 3960). These determine the design dimension of the connection diameters where the chip-cutting manufacturing method is not yet known and the tool run-out spaces are free. The fit and the centring accuracy are determined by the deviations of the space widths and thicknesses as well as by the tolerances achieved or specified.65 ⋅ m and the root diameter deviations. The diameters of the tip and root circles of the shaft differ from the respective diameters of the hub by at least the bottom clearance c (see figure 3). The nominal dimensions of the root circle diameters of flank-centred joints are the “theoretical root circle diameters” calculated using hfP = 0.5 Module 1. spline mesh quality and backlash.75 to 4 Module 5 to 10 dB mm Up to and including12 13 to 25 26 to 50 51 to 100 101 to 200 201 to 400 Greater than 400 25 28 30 35 40 – – – 30 35 40 45 50 – – – 40 45 50 55 65 7 Diameters The DIN 5480 series of standards applies to flank-centred fitted splined connections. For limits of centring accuracy. the backlash. 6JG form clearance cF is the distance between the effective root circle diameter and the root form circle diameter created by the tool. 6 J G minimum form clearance cFmin values given in table 4 provide an adequate excess length of the root involute so that disturbance-free contact between the involute flanks of the hub and shaft is ensured even when there are eccentricities in the motion of the interacting tip circle.5 to 1. to design diameter-centred connections. The property defining the fit is the fit of the flanks. the values are to be understood as absolute values in order to avoid any misunderstanding. see DIN 5466-1.55 ⋅ m. In the tables of dimensions given in DIN 5480-2. Table 4 : Minimum form clearance Minimum form clearance cFmin µm Module 0. only the absolute values of diameters and inspection dimensions are listed. Refer to clause 10 for the relationship between space width tolerance and tooth thickness tolerance. The machining-method-dependent root circle diameters of shafts created by 14 Uncontrolled copy when printed . 7.1 Diameters in flank-centred fitted splined connections In flank-centred connections. which correspond to the space width / tooth thickness tolerance fields 9H and 11a. measurement methods. e.DIN 5480-1 for all calculations in respect of fitted splined connections. The deviations applicable to chip-cutting manufacturing methods cover the associated maximum possible dedendum hfP = 0.
84 ⋅ m and the root circle deviations which would be needed to implement fully-rounded roots at a tolerance 11 and deviation a. The deviations applicable to cold-rolling splines for shaft connections cover the associated dedendum hfP = 0. for instance in order to make diameter-centred connections stronger or to allow diameter centring with small modules (see figure 1). Diameter-centred connections necessitate greater manufacturing effort due to the small tolerances of the centring diameters and the measures required to limit the offsets between the centring diameter centre and the centre of the tooth circle.1•m or 0. Such connections must always be given enough backlash in order to prevent over-determination of the centring (see figures 4 and 5).2 7.DIN 5480-1 hobbing can be calculated by subtracting 0. the centring surfaces can be widened by multiple teeth on the shaft and multiple spaces in the hub. The exact root circle diameters of hubs and shafts with splines created by rolling are calculated using the formulae given in DIN 5480-16. and those of shafts with teeth made by mill-broaching by subtracting 0.1 Diameters for diameter-centred fitted splined connections General Diameter-centred connections are centred on the outer diameters (hub root circle diameter and shaft tip circle diameter = external diameter centring) or on the inner diameters (hub tip circle diameter and shaft root circle diameter = internal diameter centring). Correspondingly.2. The teeth merely serve to transmit the forces. The nominal dimensions of the centring diameters of diameter-centred connections are the reference diameters for external diameter centring or of the hub tip circle diameters for internal diameter centring.1•m. Refer to table 5 for recommended tolerance fields and deviations of the root circle and tip circle diameters. In the case of numbers of teeth which are not prime numbers. See table 5 for recommended tolerance fields of the root circle and tip circle diameters. taking into account the particular features of the respective rolling method. These should therefore only be used in a few exceptional cases. the absolute values of the deviations must then be reduced by 0.58•m from the theoretical root circle diameters. Figure 3 : Bottom clearance of flank-centred connections 7. Root circle diameters of shafts with cold-rolled splines are calculated by subtracting 0.2•m from the theoretical root circle diameters. DIN 548016 also contains formulae for calculating the exact root circle diameters of shafts with cold-rolled splines. They determine the design value of the connection diameter. a machining addition. The fit and accuracy of concentricity are determined by the selected ISO tolerance fields of the centring diameters. those of hubs with teeth made by mill-broaching by adding 0. 15 Uncontrolled copy when printed . where necessary.2•m . the deviations of the space widths and tooth thicknesses and. respectively.2•m.
Refer to table 5 for recommended tolerance fields of the root circle and tip circle diameters. see figure 5. Figure 4 : External diameter centring 7. Figure 5 : Internal diameter centring 16 Uncontrolled copy when printed . df2 and da1 are both equal to dB. Refer to table 5 for recommended tolerance fields of the root circle and tip circle diameters. both of which are assigned the same nominal diameter here. i. because of the centring action of the flank fit. because of the centring action of the flank fit.2.3 Internal diameter centring The parameters for the fit of such connections are:  the clearance between the tip circle diameter da2 of the hub and the root circle diameter df1 of the shaft (which is the centring diameter in this case). see figure 4.DIN 5480-1 7.. e. which are both assigned the same nominal dimension dB . the flank backlash which. The edges of the tip lands of teeth on external-diameter centred shafts must be chamfered (a minimum value of hK = 0.1•m is recommended) in order to prevent interference with the fillets of the roots of the hub teeth. the flank backlash which.2 External diameter centring The parameters for the fit of such connections are:   the clearance between the hub root circle diameter and the shaft tip circle diameters.1•m is recommended) in order to prevent interference with the fillets of the roots of the hub teeth.2. must always be positive and large enough to prevent overdetermination of the centring. must always be positive and large enough to prevent overdetermination of the centring.  The edges of the tip lands of teeth on external-diameter centred shafts must be chamfered (a minimum value of hK = 0.
the tolerance class and the deviation series are placed in front of the respective data of the tooth flanks.2 ⋅ m + 1.) H11 h6 H7 H7 h11 H14 h14 h6 Ae and TG in series 9H (see 7.1). the number of teeth.73 ⋅ (–As + TG))b Cold rolling: Adf1 = – 0. For diameter-centring. the tolerance class and the deviation series.73 ⋅ (Ae + TG))a Chip-removal machining: Adf1 = –(0. da2 Tip circle diameter of shaft da1 Deviation for the hub root circle diameter df2 Deviation for the shaft root circle diameter df1 a b c H11 h11 Adf2 = (0.2 ⋅ m + 1. followed by an A for externally-centred connections or an I for internally-centred connections (only in the case of diameter-centred connections).76 ⋅ m (max. e.1). EXAMPLE 1 Designation of a flank-centred fitted splined connection Reference diameter Module Number of teeth Flank fit dB m z 120 mm 3 mm 38 9H 8f Fitted splined connection DIN 5480 – 120 × 3 × 38 × 9H 8f Hub DIN 5480 – N 120 x 3 × 38 × 9H Shaft DIN 5480 – W 120 × 3 × 38 × 8f 17 Uncontrolled copy when printed .DIN 5480-1 Table 5 : Recommended tolerances and deviations for tip and root circle diameters Diameter centring Flank centring External diameter c centring Internal diameter c centring Tip circle diameter of hub. As and TG in series a11 (see 7. For flank fit: 9H/9e. 8 Designations Fitted splined connections in accordance with this standard are designated by the main standard number (i. DIN 5480). then by the module. an N for a hub or W for a shaft.
' Designation of an external-diameter-centred fitted splined connection with double teeth on the shaft Reference diameter Module Number of teeth Flank fit Diameter fit Fitted splined connection DIN 5480 – A dB m z 120 mm 3 mm 38 9H 9e H7 h6 120 × 3 × 19 (38) × H7 h6 × 9H 9e Hub DIN 5480 – NA 120 × 3 × 19 (38) × H7 × 9H Shaft DIN 5480 – WA 120 × 3 × 19 (38) × h6 × 9e ':#/2.DIN 5480-1 EXAMPLE 2 Designation of a diameter-centred fitted splined connection Reference diameter Module Number of teeth Flank fit Diameter fit Fitted splined connection DIN 5480 – A dB m z 120 mm 3 mm 38 9H 9e H7 h6 120 × 3 × 38 × H7 h6 × 9H 9e Hub DIN 5480 – NA 120 × 3 × 38 × H7 × 9H Shaft DIN 5480 – WA 120 × 3 × 38 × h6 × 9e ':#/2.' Designation of an internal-diameter-centred fitted splined connection Reference diameter Module Number of teeth Flank fit Diameter fit Fitted splined connection DIN 5480 – I Hub DIN 5480 – NI dB m z 120 mm 3 mm 38 9H 9e H7 h6 120 × 3 × 38 × H7 h6 × 9H 9e 120 × 3 × 38 × H7 × 9H Shaft DIN 5480 – WI 120 × 3 × 38 × h6 × 9e 18 Uncontrolled copy when printed .
19 Uncontrolled copy when printed .2 Indication of individual deviations Guideline values for individual deviations can be entered directly in the data field in addition.40 h11 113. However. see figure 6. betw. dimension over measuring circles Min.361 6.180 DM M2max M2min Ref. effective tooth thickness Actual maximum reference tooth thickness Actual minimum tooth thickness Measuring circle diameter Max. M1min 6. dist.1 Data to be shown on drawings Data table The geometrical data for the teeth are too extensive to be written directly in the drawings as dimensions. It is therefore recommended that these be indicated in the form of a data field.220 6.956 Figure 6 : Example of a data field in a drawing If the method of measurement has to be specified. this shall be identified as such by the supplementary note “max.49 min.76 119. it is necessary to state permissible individual deviations as a tolerance. betw. dimension over measuring circles Shaft DIN 5480 – W120 × 3 × 38 × 8f Number of teeth z m 38 3 30° 119. measuring circles Min ref.169) DM M1max Ref.4 – 1. This means that the respective workpieces may not be rejected because of individual deviations. 113. ref. it is also possible to state a measuring ball or measuring pin diameter instead of the measuring circle diameter.74 α df2 dFf2 da2 α da1 dFf1 df1 Actual maximum space width Actual minimum reference space width Minimum effective space width Measuring circle diameter Max. 9. If. measuring circles emax emin evmin 6. dist.266 (109. in special cases.017) 125.”. in this case a note must be added stating that the GO gauge has priority.271 svmax smax smin 6. The dimension over or between measuring circles is then stated either as the dimension over or between balls or pins.DIN 5480-1 9 9. The designations given in DIN 3960 for gear teeth are also permitted.305 6. coldrolled Max. accordingly. 114 H11 Module Pressure angle Tip circle diameter Root form circle diameter Root circle diameter.000 (126.243 6.91 max. Hub DIN 5480 – N120 × 3 × 38 × 9H Number of teeth Module Pressure angle Root diameter Root form circle diameter Tip circle diameter z m 38 3 30° 120 + 0.250 109. 5.
it may be useful to apply statistical concepts when evaluating the actual tolerance limit.DIN 5480-1 9. For details. 9. the actual measurement will depend very strongly on the angular position and the measuring plane. 5.4 Representation in drawings DIN ISO 6413 specifies how fitted splined connections are to be represented in drawings. The statistical actual tolerance limit permits a certain number of measurements to exceed the tolerance limits by a specific value. the data for the statistical actual tolerance limit STA are entered at the bottom of the data field of the fitted splined connection.3 Statistical actual tolerance limit (STA) Particularly when a dimension is checked across and between measurement circles. If very many measurements are taken in different angular positions and measuring planes. Where necessary. 20 Uncontrolled copy when printed .6. see DIN 5480-15. which would not occur if fewer measurements were to be taken. This avoids excessive reject rates.3.
3 Deviations Both positive and negative minimum fit clearances can be designed using the space width deviation Ae and the tooth thickness deviation As. The magnitudes of the deviations are identified by upper-case characters and 21 Uncontrolled copy when printed . this standard provides deviation series and tolerances based on the nominal dimensions. it is better to set the effective tolerance limits to the dimension of the nominal space width e2 and the nominal tooth thickness s1. transitions fits and interference fits.1 General The flanks of the teeth of fitted splined connections are used both for transmitting the torque and for centring the hub and shaft relative to one another. 10. effective tolerance limit smaxmax. actual tolerance limit actual tolerance total tolerance emin min. actual reference mark effective tolerance space width deviation Ae tooth thickness deviation As effective tolerance total tolerance minimum theoretical fit clearance maximum theoretical fit clearance ev min min. For a minimum fit clearance of zero. The deviation series permits the definition of free fits. see figure 7. A design fit clearance of zero ensures that the hub can be fitted on the shaft. effective tolerance limit space width/tooth thickness e2 = s1 sv max max.DIN 5480-1 10 Fit system for space width / tooth thickness 10.2 Structure of the tolerance system The tolerance system of fitted splined connections is based on the theoretical minimum fit clearance. actual reference mark actual tolerance smin min. The tolerance classes define the manufacturing tolerances. Space width emax max. For space widths of hubs and tooth thicknesses of shafts. actual tolerance limit Tooth thickness Figure 7 : Schematic diagram of space width / tooth thickness fit 10. The difference between the space width and the tooth thickness determines the rotational backlash.
they are converted to dimensions across and between measuring circles and are entered in this form into the data field. 22 Uncontrolled copy when printed . then the actual tolerances and the effective tolerances as stated in this standard can be selected separately from the different tolerance classes and will. These have predefined relationships to one another. This is necessary because the fit is created for all left and right flanks of all teeth.7 Design specifications When designing a fitted splined connection. The flanks of the teeth are subject to individual deviations from the profile. the infeed accuracy of machine tools and dimension deviations in heat treatment. A certain amount of experience is needed in selecting the deviations and tolerances suitable for practical applications. The overall tolerance combines the actual tolerance and the effective tolerance. In practice. 10. from F to M for hubs and 18 deviations from v to a for shafts. 10.5 Actual tolerance Tact The actual tolerance provides for the wear-dependent change of tool dimensions. A ratio of TG/Tact ≈ 1.6 has been chosen in this standard as this seemed to be most suitable. In hubs. Since it is difficult to measure tooth thickness and space widths directly. The manufacturing tolerance should be at least twice the expected tooth thickness variation Rs . In practice. the maximum and minimum permissible fit clearance is defined in the technical specifications. These deviations reduce the fit clearance of a fitted splined connection so severely that provision must be made for this reducing effect. the size of the actual tolerance Tact in relationship to the effective tolerance Teff within the overall tolerance TG varies very strongly. If it becomes necessary to change the size ratio. In shafts.8 Calculation of tolerance limits Tolerance limits are calculated on the basis of the nominal space width e2 of the hub and the tooth thickness s1. using the formulae given in table 6. There are six deviations.DIN 5480-1 can be selected individually for hubs and shafts as shown in table 9. 10. In the data field of the workpiece drawing. The deviations Ae and As as well as the tolerances Tact and Teff of the tolerance class are selected as shown in table 7.6 Effective tolerance Teff For fitted splined connections. 10. Eight tolerance classes are available for the magnitude of the overall tolerances of hubs and shafts. They determine the magnitude of the overall tolerance as well as the actual and effective individual tolerances. it is given as the actual tolerance limit and as the reference mark actual Ref. Given these values. when added. the flank line and the pitch. lead to an overall tolerance deviating from this standard. the effective tolerance is stated separately. 10. the superposition of all individual deviations lead to an effective tooth thickness that is greater than the actual thickness which can be measured.4 Overall tolerance TG The theoretical maximum fit clearance is determined by adding the deviations and the tolerance values of the overall tolerances TG for the hub and the shaft. the superposition of all individual deviations leads to an effective space width that is smaller than the actual space that can be measured. measuring balls or measuring pins are used as measuring circles. it is the designer's task to select the deviations and tolerance classes.
min. actual min. These values do not constitute a tolerance. Fβ. this will in all cases effectively ensure adherence to the tolerance limit. actual emax = e2 + Ae + TG = e2 + Ae + Tact + Teff emin = e2 + Ae + Teff evmin = e2 + Ae svmax = s1 + As smax smin = s1 + As – Teff = s1 + As – TG = s1 + As – Tact – Teff In addition to showing the actual and effective tolerances.DIN 5480-1 Table 6 : Calculation of tolerance limits Space width Space width Space width Tooth thickness Tooth thickness Tooth thickness max. actual Ref. min. 23 Uncontrolled copy when printed . If a GO gauge does fit. fp and Fα. but are used to track down the cause of nonconformities in cases where GO gauges will not fit. effective max. actual Ref. effective max. table 7 also contains guideline values for individual deviations Fp.
5 1.75 to 4 5 to 10 Example: shaft hub Space width Tooth thickness Dimension tolerances in µm Standard values for individual deviations in µm 24 Uncontrolled copy when printed .5 to 1.9 Deviations and tolerances Table 7 : Deviations and tolerances Reference diameters Modules 0.DIN 5480-1 10.
Actual tolerance limits are checked with the aid of the auxiliary dimensions across and between measuring circles (using measuring balls or pins).4.12 Quality assurance Quality assurance is described in DIN 5480-15. Table 9 : Types of fit Type of fit Deviations / tolerances Hub Shaft Rough interference fit Fine interference fit Rough transitional fit Fine transitional fit Rough free fit Fine free fit 7H 8H 7H 8H 7H 8H 9H 9H 9v 7p 9p 7m 8n 9e 7g 9d 8f 10c 11a 8s 9H 9g 7h 10. 5. Table 8 : Guide values for radial runout Reference circle diameter d mm Radial runout Fr µm 20 30 40 50 60 80 < 18 18 to < 30 30 to < 50 50 to < 100 100 to < 200 200 to < 500 10.3. Compliance with the effective tolerance limit is checked using fully-splined GO gauges.DIN 5480-1 10. Table 8 shows. transitional fits and free fits can be implemented by applying the deviation and tolerance combinations given in table 9. The method of calculating the inspection dimensions over and between measuring circles from the dimensions of the space widths and the tooth thicknesses is described in DIN 5480-15. for example.11 Implementation of fit types Interference fits. this can also be done using the deviation factors as described in DIN 5480-2. As an alternative. or alternatively using sector NOT GO gauges. as guide values. 25 Uncontrolled copy when printed . It is not possible to state standard values for this. radial runouts of the reference circle of external splines relative to a reference axis.10 Guide values for radial runout Radial runout is largely a deviation of position and is specified relative to other geometrical elements.2.
DIN 5480-1 Deviation of the measurements between/over measuring circles: A M 2 = Ae ⋅ A * M 2 A M1 = As ⋅ A * M1 (3) (4) 26 Uncontrolled copy when printed .
DIN 5480-1 Bibliography DIN 3961. identical with ISO 6413:1988 ISO 54:1996.Modules ISO 4156. Cylindrical gears for general engineering and for heavy engineering . Metric module. Straight cylindrical involute splines. representation of splines and serrations. Technical drawings. Tolerances for cylindrical gear teeth. basics DIN 3977:1981-02. Measuring element diameters for the radial or diametral dimension for testing tooth thickness of cylindrical gears DIN ISO 6413:1990-03. side fit 27 Uncontrolled copy when printed .
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