Steek – metrische modulus – diametral pitch – circular pitch – tanddikte – tandhoogte – basissteek

Voor al wat voorafgaat, hebben we ons steeds beperkt tot het metrisch moduulsysteem. In de Angelsaksische landen is het “diametral pitch”-systeem in gebruik (aantal tanden van een wiel per duim van de steekmiddellijn uitgedrukt in duim). 
Er wordt ook nog gebruik gemaakt van het “circular pitch”-systeem of “omtreksteek” in duim of breukgetal in duim. In het “Diametral pitch”-systeem is de steekcirkelmiddellijn (uitgedrukt in duim) gelijk aan het quotiënt d=Z/P.

Daar het metrisch moduulsysteem gemakkelijker te hanteren is voor berekeningen in metrische maten, kan men de diametral pitch in de gewone formules vervangen door de overeenstemmende moduulwaarde in het metrisch systeem. Hieronder de verhoudingen tussen de verschillende systemen:
m = 25,4/DP = 25,4*CP/pi = 8,0850711*CP
DP = pi/CP = 25,4/m (met CP in inch)
CP = pi/DP = m/8,0850711

Tandhoogte
De totale hoogte van de tand, aangeduid in de tabellen, is een theoretische waarde berekend op basis van een theoretische voethoogte van 1,16 of 1 ,25 x moduul. In de praktijk is de voethoogte wisselend en hangt af van het freesgereedschap en van de gewenste tanddikte. De voetcirkeldiameter is dus geen controlemaat.

 In de hierna volgende tabellen vindt u de hieronderstaande gegevens weer:

Steek in mm (p)
Metrische moduul – (te vermijden modulus) (m)
Diametral pitch (DP)
Circular pitch (CP)
Tanddikte (S)
Tandhoogte in mm voor c = 0,16*m (h)
Basissteek voor drukhoek 14°30’ & 20°00’ (Pb)
Te vermijden moduul (..)

p m DP CP S h pb
a=14°30’ a=20°00’
0,62831 0,2000 0,3142 0,432 0,6083 0,5904
0,78540 0,2500 0,3927 0,540 0,7604 0,7380
0,94248 0,3000 0,4712 0,648 0,9125 0,8856
0,99746 0,3175 80 0,4987 0,686 0,9657 0,9373
1,00531 0,3200 0,5027 0,691 0,9733 0,9447
1,09557 (0,3487) 0,5478 0,753 1,0607 1,0295
1,10828 0,3528 72 0,5541 0,762 1,0730 1,0414
1,24682 (0,3969) 64 0,6234 0,857 1,2071 1,1716
1,25664 0,4000 0,6283 0,864 1,2166 1,1809
1,32994 0,4233 60 0,6650 0,914 1,2876 1,2497
1,41372 0,4500 0,7069 0,972 1,3687 1,3285
1,57080 0,5000 0,7854 1,080 1,5208 1,4761
1,58750 (0,5053) 1/16″ 0,7937 1,091 1,5369 1,4918
1,66243 0,5292 48 0,8312 1,143 1,6095 1,5622
1,88496 0,6000 0,9425 1,296 1,8249 1,7713
1,99491 0,6350 40 0,9975 1,372 1,9314 1,8746
2,04204 (0,6500) 1,0210 1,404 1,9770 1,9189
2,19911 (0,7000) 1,0996 1,512 2,1291 2,0665
2,21657 0,7056 36 1,1083 1,524 2,1460 2,0829
2,35619 (0,7500) 1,1781 1,620 2,2811 2,2141
2,49364 0,7938 32 1,2468 1,715 2,4142 2,3433
2,51327 0,8000 1,2566 1,728 2,4332 2,3617
2,65988 0,8467 30 1,3299 1,829 2,5752 2,4995
2,82743 (0,9000) 1,4137 1,944 2,7374 2,6569
2,84987 0,9071 28 1,4249 1,959 2,7591 2,6780
3,14159 1,0000 1,5708 2,160 3,0415 2,9521
3,17500 (1,0106) 1/8″ 1,5875 2,183 3,0739 2,9835
3,32485 1,0583 24 1,6624 2,286 3,2189 3,1243
3,62711 1,1545 22 1,8136 2,494 3,5116 3,4084
3,92699 1,2500 1,9635 2,700 3,8019 3,6902
3,98982 1,2700 20 1,9949 2,743 3,8627 3,7492
4,43314 1,4111 18 2,2166 3,048 4,2919 4,1658
4,71239 1,5000 2,3562 3,240 4,5623 4,4282
4,76250 (1,5160) 3/16″ 2,3812 3,274 4,6108 4,4753
4,98728 1,5875 16 2,4936 3,429 4,8284 4,6865
5,00000 1,5915 2,5000 3,438 4,8407 4,6985
5,49779 1,7500 2,7489 3,780 5,3227 5,1662
5,69975 1,8143 14 2,8499 3,919 5,5182 5,3560
6,28319 2,0000 3,1416 4,320 6,0831 5,9043
6,35000 (2,0213) 1/4″ 3,1750 4,366 6,1477 5,9670
6,64970 2,1167 12 3,3248 4,572 6,4379 6,2487
7,06858 2,2500 3,5343 4,860 6,8434 6,6423
7,25422 2,3091 11 3,6271 4,988 7,0232 6,8167
7,85398 2,5000 3,9270 5,400 7,6038 7,3803
7,93750 (2,5266) 5/16″ 3,9687 5,457 7,6847 7,4588
7,97965 2,5400 10 3,9898 5,486 7,7255 7,4984
8,63938 2,7500 4,3197 5,940 8,3642 8,1184
8,86627 2,8222 9 4,4331 6,096 8,5839 8,3316
9,42478 3,0000 4,7124 6,480 9,1246 8,8564
9,52500 (3,0319) 3/8″ 4,7625 6,549 9,2216 8,9506
9,97456 3,1750 8 4,9873 6,858 9,6568 9,3730
10,00000 3,1831 5,0000 6,875 9,6815 9,3969
10,21018 3,2500 5,1051 7,020 9,8850 9,5944

 

p m DP CP S h pb
a=14°30’ a=20°00’
10,99557 3,5000 5,4978 7,560 10,6453 10,3325
11,11250 (3,5372) 7/16″ 5,5562 7,640 10,7585 10,4423
11,39949 3,6286 7 5,6997 7,838 11,0364 10,7120
11,78097 3,7500 5,8905 8,100 11,4057 11,0705
12,56637 4,0000 6,2832 8,640 12,1661 11,8085
12,70000 (4,0425) 1/2″ 6,3500 8,732 12,2955 11,9341
13,29941 4,2333 6 6,6497 9,144 12,8758 12,4974
13,35176 4,2500 6,6759 9,180 12,9265 12,5466
14,13717 4,5000 7,0686 9,720 13,6869 13,2846
14,28750 (4,5479) 9/16″ 7,1437 9,823 13,8324 13,4259
14,92256 4,7500 7,4613 10,260 14,4472 14,0226
15,70796 5,0000 7,8540 10,800 15,2076 14,7607
15,87500 (5,0532) 5/8″ 7,9375 10,915 15,3693 14,9176
15,95930 5,0800 5 7,9796 10,973 15,4510 14,9968
16,49336 5,2500 8,2467 11,340 15,9680 15,4987
17,27876 5,5000 8,6394 11,880 16,7284 16,2367
17,46250 (5,5585) 11/16″ 8,7312 12,006 16,9063 16,4094
18,06415 5,7500 9,0321 12,420 17,4888 16,9747
18,84956 6,0000 9,4248 12,960 18,2492 17,7128
19,05000 (6,0638) 3/4″ 9,5250 13,098 18,4432 17,9011
19,63495 6,2500 9,8175 13,500 19,0095 18,4508
19,94911 6,3500 4 9,9746 13,716 19,3137 18,7460
20,42035 6,5000 10,2102 14,040 19,7699 19,1889
20,63750 (6,5691) 13/16″ 10,3187 14,189 19,9801 19,3929
21,20575 6,7500 10,6029 14,580 20,5303 19,9269
21,99115 7,0000 10,9956 15,120 21,2907 20,6649
22,22500 (7,0744) 7/8″ 11,1125 15,281 21,5171 20,8847
22,79899 7,2571 31/2″ 11,3995 15,675 22,0728 21,4240
23,56194 7,5000 11,7810 16,200 22,8114 22,1410
23,81250 (7,5798) 15/16″ 11,9062 16,372 23,0540 22,3764
25,13274 8,0000 12,5664 17,280 24,3322 23,6170
25,40000 8,0851 1 12,7000 17,464 24,5909 23,8682
26,59882 8,4667 3 13,2994 18,288 25,7516 24,9947
26,70353 8,5000 13,3518 18,360 25,8530 25,0931
28,27433 9,0000 14,1372 19,440 27,3737 26,5692
28,57500 (9,0957) 11/8″ 14,2875 19,647 27,6648 26,8517
29,01689 9,2364 23/4″ 14,5084 19,951 28,0926 27,2670
30,16250 9,6010 13/16″ 15,0812 20,738 29,2018 28,3435
31,41593 10,0000 15,7080 21,600 30,4153 29,5213
31,75000 (10,1063) 11/4″ 15,8750 21,830 30,7387 29,8352
31,91858 10,1600 21/2″ 15,9593 21,946 30,9019 29,9937
33,33750 (10,6117) 15/16″ 16,6687 22,921 32,2756 31,3270
34,55752 11,0000 17,2788 23,760 33,4568 32,4734
34,92500 (11,1170) 13/8″ 17,4625 24,013 33,8126 32,8188
35,46509 (11,2889) 21/4″ 17,7325 24,384 34,3354 33,3263
36,51250 (11,6223) 17/16″ 18,2562 25,104 35,3495 34,3105
37,69911 12,0000 18,8496 25,920 36,4983 35,4256
38,10000 (12,1276) 11/2″ 19,0500 26,196 36,8864 35,8023
39,26990 12,5000 19,6349 27,000 38,0191 36,9016
39,89823 12,7000 2 19,9491 27,432 38,6274 37,4921
40,84070 13,0000 20,4203 28,080 39,5398 38,3777
41,27500 (13,1382) 15/8″ 20,6375 28,379 39,9603 38,7858
43,98230 14,0000 21,9911 30,240 42,5814 41,3298
p m DP CP S h pb
a=14°30’ a=20°00’
45,59797 (14,5143) 13/4″ 22,7990 31,351 44,1456 42,8481
47,12388 15,0000 23,5619 32,400 45,6229 44,2820
47,62500 (15,1595) 17/8″ 23,8125 32,745 46,1080 44,7529
48,69468 15,5000 24,3473 33,480 47,1436 45,7580
50,26548 16,0000 25,1327 34,560 48,6644 47,2341
50,80000 (16,1701) 2″ 25,4000 34,928 49,1819 47,7364
53,19764 16,9333 11/2″ 26,5988 36,576 51,5032 49,9894
53,40701 17,0000 26,7035 36,720 51,7059 50,1862
56,40707 17,9549 28,2035 38,783 54,6104 53,0053
59,69026 19,0000 29,8451 41,040 57,7890 56,0905
62,83185 20,0000 31,4159 43,200 60,8305 59,0426
63,50000 20,2127 21/2″ 31,7500 43,659 61,4774 59,6705
63,83716 20,3200 11/4″ 31,9186 43,891 61,8038 59,9873
69,11504 22,0000 34,5575 47,520 66,9136 64,9469
69,85000 22,2339 23/4″ 34,9250 48,025 67,6251 65,6375
75,39822 24,0000 37,6991 51,840 72,9966 70,8511
78,53982 (25,0000) 39,2699 54,000 76,0381 73,8033
79,79645 (25,4000) 1″ 39,8982 54,864 77,2547 74,9841
84,82300 27,0000 42,4115 58,320 82,1212 79,7075
87,96459 28,0000 43,9823 60,480 85,1627 82,6597
91,10618 29,0000 45,5531 62,640 88,2042 85,6118
94,24777 30,0000 47,1239 64,800 91,2458 88,5639