Internal and external spline teeth

The tool machines and extensive hobbing and cutting tools available to us, allow us to achieve external and internal spline connections according to the standards NBN-DIN – BS-AGMA or NF on gear blanks of which the dimensions fall within the limits of our manufacturing capabilities. This applies both to spline connections with involute flanks as for spline connections with straight flanks.

Spline connections with straight flanks:

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A: Profile of the nave B: Profile of the shaft

The form of the slots as indicated above is closely linked to the finish method.

For choosing the number of keys depending on the diameters and of the load, as also for indicating the tolerances according to the desired fit (loose, sliding, straining) we refer to the tables published by the various standardization organizations:

  • NBN 90.01 / 02 / 03
  • DIN 5462 / 63 / 64 / 65
  • SAE Standard Splines

We only present a part of the DIN-tables.

d1 Light sequence DIN 5462 Average sequence DIN 5463 Heavy sequence DIN 5464 DIN 5472 DIN 5471
z d2 d3min b z d2 d3min b z d2 d3min b z d2 d3min b z d2 d3min b
21 6 25 19,5 5 10 26 18,44 3 6 25 5 4 25 8
23 6 26 22,1 6 6 28 21,3 6 11 29 20,3 4 6 28 6
26 6 30 24,6 6 6 32 23,4 6 12 32 23 4 6 32 6
28 6 32 26,7 7 6 34 25,9 7 13 35 24,4 4 6 34 7 4 32 10
32 8 36 30,42 6 8 38 29,4 6 14 40 28 5 6 38 8 4 38 10
36 8 40 34,5 7 8 42 33,5 7 15 45 31,3 5 6 42 8 4 42 12
42 8 46 40,4 8 8 48 39,5 8 16 52 36,9 6 6 48 10 4 48 12
46 8 50 44,62 9 8 54 42,7 9 17 56 40,9 7 6 52 12 4 52 14
52 8 58 49,7 10 8 60 48,7 10 18 60 47 5 6 60 14 4 60 14
56 8 62 53,6 10 8 65 52,2 10 19 65 50,6 5 6
58 20 65 14 4 65 16
62 8 68 59,82 12 8 72 57,8 12 21 72 56,1 6 6 70 16 4 70 16
68 22 6 78 16 4 78 16
72 10 78 69,6 12 10 82 67,4 12 23 82 65,9 7 6 82 16
78 24 6 90 16
82 10 92 12 25 6 95 16
88 26 6 100 16
92 10 102 14 6 105 20
98 6 110 20
105 6 120 20
115 6 130 20
130 6 145 24

The tolerances are depending on mounting conditions, shaft (Iz) or tooth flank centering (Fz).

b nave d1 d2
Soft Hardened
Nave Iz + Fz D9 F10 H7 H11
Shaft Iz sliding h8 e8 f7 a11
Shaft Iz sliding p6 h6 j6
Shaft Fz sliding h8 e8
Shaft Fz tight u6 k6

Indication : B DIN 5462 – B 6x28x32

Spline connections with involute flanks

The increased use of spline connections with involute tooth flanks has brought us to purchase a wide variety of hobbing and tools and this is in accordance with the various standardization systems.

These connections can be “sliding” or “fixed”, and with “centering” on the tooth flanks or on the external diameter of the axle (tooth tip) or on the inner diameter.

The involute spline connections are similar to the classic teeth for gears, with a pressure angle of 20° or 30° depending on the standard used. The intention which is the basis of this idea is: external spline connections manufactured in the same way (same machines and similar tools), as for the classic gears, by hobbing (hobbing and cutting tools). The corresponding internal spline connections manufactured by the gear generating proces at tooth hobbing machines (Fellows &-Lorenz) or by broaching machines (for larger series).

Certain systems are even equipped to use the same milling tools as for normal teeth.

The most common pressure angles are 20° (with adjusted positive addendum modification to obtain an effective pressure angle of ± 30 °in the area of the pitch circle; i.e. NBN 270 or PN-E 22-141) and 30° (DIN 5480, 5482 and AISI-B92-1-1970).

Recently the Americans added to the standard used pressure angle 30°, the standardization of the pressure angles 37°30′ and 45°. For choosing the tooth numbers, the module, the type of centering and fitting, we are referring to the tables published by the various standardization organizations.

Hereafter, we present the characteristics of the main spline connections.

DIN 5480

Addendum modification nave x1.m = – 0,05.m tot + 0,45.m
Addendum modification shaft x2.m = = – x1.m = + 0,05.m tot – 0,45.m
Nominal diameter dB = m.z1 + 2.x1.m + 1,1.m
Nave tip diameter da2 = m.z2 + 2.x2.m + 0,9.m
Shaft tip diameter da2 = m.z1 + 2.x1.m + 0,9.m
Nave root diameter df1 = m.z2 + 2.x2.m – 2.hfp
Shaft root diameter df1 = m.z1 + 2.x1.m – 2.hfp
Pitch circle diameter d = m.z
Base circle db = m.z.cosa
Addendum hap = 0,45.m
Dedendum hfp = 0,60.m
Tooth depth hp = hap + hfp
Nave tooth thickness s2 = m.Image21 + 2.x2.m.tana
Shaft tooth thickness s1 = m.Image21 + 2.x1.m.tana

The following is the table of normalized dimensions according to DIN 5480. The dimensions and modules in brackets ( ) are avoidable values.

Summary table – shaft diameter – module – number of teeth DIN 5480

dB 0,5 (0,6) (0,75) 0,8 (1) 1,25 (1,5) (1,75) 2 (2,5) 3 (4) 5 (6) 8 (10)
6 10 8 6 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
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 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 8 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
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

DIN 5482

For further information, we refer to the relevant standard.

DIN 5481

For further information, we refer to the relevant standard.

ANSI B92.1 – 1970, R1993

As with DIN 5480 there are also different versions possible.

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Here are the formulas for the calculation of different diameters.

Term Symbol Flat root, side fit Flat root Maj Dia fit Fillet root side fit
Stub pitch Ps 2.P 2.P 2.P
Pitch diameter Dp N/P N/P N/P
Base diameter Db D.cosφD D.cosφD D.cosφD
Circular pitch p p/P p/P p/P
Space width sv p/2.P p/2.P p/2.P
Major diameter int Dri Image427 Image428 Image429
Major diameter ext Do Image428 Image428 Image428
Minor diameter int Di Image430 Image430 Image430
Minor diameter
2,5/5DP – 12/24DP
Dre Image431 Image431 Image432
Minor diameter
16/32DP and finer
Image433
Minor diameter
10/20DP and finer
Image433
Form diameter int DFi Image434 Image435 Image434
Form diameter ext DFe Image436 Image436 Image436
Form clearance cF 0,001.D 0,001.D 0,001.D

E 22-151 NF

E 22-141 NF

veelspieverbinding-13Following are the tables with the available hobs and cutters.

NF – E22-151

Module Z Type Ld. max Øprimitive Zmin AP
1,5
1,5
1,217
2
18
22
28
16
Tail
Tail

Tail
65
45

105
27
33

32

NBN 270 / NF – E22-141 /NF – E22-143

Module Z Type Ld. max Øprimitive Zmin AP
0,5 hob 20°
0,8 hob right 39,5 27°26’
1,25 hob right 20°
1,25 12 tail 65 15 20
1,25 20 tail 50 25 30
1,25 60 75 20°
1,667 hob right 50
1,667 8 tail 75 13,336 16
1,667 18 tail 60 30 27
2,5 hob right 20°
2,5 10 tail 80 25 18
2,5 10 tail 90 25 18
3,75 hob right 20°
3,75 5 tail 65 18,75 12
3,75 20 75 29
3,75 9 tail 77 33,75 17
5 hob right 87,71 20°
5 6 tail 135 30 13
5 6 tail 70 30 13
5 10 tail 135 50 18
5 10 tail 120 50 18
5 15 75 24
7,5 hob right 20°
7,5 5 tail 150 37,5 12
10 hob right 20°
10 6 tail 250 60 13

DIN 5480 / 5482

Modulus Z type Ld. max Øprimitief Zmin AP
1,25 hob right 30°
1,6 hob right 30°
1,6 6 Tail 65 9,6 13
1,9 0 hob right 48,8 30°
1,75 10 Tail 55 17,5 18
1,75 10 Tail 60 17,5 18
2 10 Tail 98 20 18
2 hob right 78 30°
1,9 1 Tail 70 20 18
1,9 11 Tail 45 20,9 19 30°
2 12 Tail 130 24 20 30°
2 15 Tail 75 30 24
2,1 20 Tail 85 42 29
2,1 0 hob right 53,4 0 30°
2,25 0 hob right 59,3 0 30°
2,25 18 Tail 95 40,2 27
2,5 hob right 80,86 0 30°
2,5 hob right 30°
2,5 12 Tail 80 30 20
3 0 hob right 71 0 30°
3 15 Tail 125 45 24
3 25 Tail 0 75 35
3 12 Tail 75 36 20
3 12 Tail 150 36 20 30°
4 hob right 59,9 0 30°
4 9 Tail 120 36 17
4 25 0 100 35
4 14 Tail 0 56 22
5 hob right 0 70,85 30°
5 hob right 0 30°
5 10 Tail 100 50 18
5 12 Tail 75 60 20
5 20 100 29
6 0 hob right 103,4 0 30°
6 9 Tail 120 54 17
8 6 Tail 140 48 13
8 hob right 110,4 30°

ANSI B92.1 – 1970, R1993

Modulus Z type Ld. max Øprimitief Zmin AP
32/64 hob right 60,212 30°
32/64 12 Tail 40 9,52 20 30°
32/64 90 71,44 30°
24/48 hob right 59,914 30°
24/48 10 Tail 60 10,58 18 30°
24/48 72 76,2 30°
20/40 hob right 60,116 30°
20/40 hob right 0 30°
20/40 9 Tail 45 11,43 17 30°
20/40 9 Tail 60 11,43 17 30°
16/32 hob right 61,4 30°
16/32 hob right 59 30°
16/32 hob right 60,216 30°
16/32 6 Tail 13 30°
16/32 9 Tail 80 14,28 17 30°
16/32 9 Tail 60 14,28 17 30°
16/32 9 Tail 80 14,28 17 30°
16/32 9 Tail 75 14,28 17 30°
16/32 15 Tail 90 17 30°
16/32 20 Tail 120 3,7 29 30°
12/24 hob right 62,2 0 30°
12/24 6 Tail 45 12,9 13 30°
12/24 9 Tail 80 19,05 17 30°
12/24 14 Tail 120 26,63 30°
10/20 hob right 66,83 30°
10/20 10 Tail 100 30°
10/20 6 Tail 50 15,24 13 30°
10/20 9 Tail 108 22,86 17 30°
10/20 9 Tail 90 22,86 17 30°
8/16 hob right 69,23 0 30°
8/16 0 hob right 72,24 30°
8/16 10 Tail 120 31,75 18 30°
8/16 5 Tail 85 15,87 12 30°
8/16 10 Tail 105 31,75 18 30°
8/16 24 76,2 34 30°
8/16 7 Tail 95 22,22 14 30°
7/14 0 hob right 63,5 30°
6/12 0 hob right 71,43 30°
6/12 18 27 30°
6/12 8 Tail 120 33,86 16 30°
6/12 5 Tail 21,167 11 30°
6,5/13 6 Tail 60 23,45 13 30°
5/10 hob right 70,36 30°
5/10 5 Tail 75 25,4 12 30°
5/10 7 Tail 140 35,56 14 30°
5/10 20 101,6 29 30°
5/10 15 76,2 24 30°
4/8 hob right 0 30°
4/8 6 Tail 150 38,1 13 30°
4/8 16 101,6 25 30°
2,5/5 hob right 101,65 30°