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GB/T 3478.6-2008: Straight cylindrical involute splines -- Metric module, side fit -- Part 6: 30-degreepressure angle M and W values
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Straight cylindrical involute splines -- Metric module, side fit -- Part 6: 30-degreepressure angle M and W values
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Straight cylindrical involute splines 30 Degree pressure angle-- M and W values
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Basic data | Standard ID | GB/T 3478.6-2008 (GB/T3478.6-2008) | | Description (Translated English) | Straight cylindrical involute splines -- Metric module, side fit -- Part 6: 30-degreepressure angle M and W values | | Sector / Industry | National Standard (Recommended) | | Classification of Chinese Standard | J18 | | Classification of International Standard | 21.120.30 | | Word Count Estimation | 92,977 | | Date of Issue | 2008-09-22 | | Date of Implementation | 2009-05-01 | | Older Standard (superseded by this standard) | GB/T 3478.6-1995 | | Quoted Standard | GB/T 321; GB/T 3478.1 | | Regulation (derived from) | National Standard Approval Announcement 2008 No.16 (Total No.129) | | Issuing agency(ies) | General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of China, Standardization Administration of the People's Republic of China | | Summary | This standard specifies the pressure angle of 30 �� Straight cylindrical involute splines M value (bar spacing MRi, cross bar from MRe) and W values ??(average external splines normal line length) is calculated and limits the size of the table. This section applies to both GB/T 3478. 1 design and manufacture of 30 �� pressure angle involute splines. | GB/T 3478.6-2008: Straight cylindrical involute splines -- Metric module, side fit -- Part 6: 30-degreepressure angle M and W values
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Straight cylindrical involute splines.Metric module, side fit.Part 6. 30-degreepressure angle M and W values
ICS 21.120.30
J18
National Standards of People's Republic of China
Replacing GB/T 3478.6-1995
Straight cylindrical involute splines
(Metric series of teeth with the side)
Part 6. 30 ° pressure angle M and W values
2008-09-22 released
2009-05-01 Implementation
General Administration of Quality Supervision, Inspection and Quarantine of the People 's Republic of China
China National Standardization Management Committee released
Foreword
GB/T 3478 "cylindrical straight teeth involute spline (metric series of teeth with the side)" is divided into nine parts.
- Part 1. General;
- Part 2. 30 ° pressure angle dimension table;
- Part 3. 37.5 ° pressure angle dimension table;
- Part 4. 45 ° pressure angle dimension table;
- Part 5. Inspection;
- Part 6. 30 ° pressure angle M and W;
- Part 7. 37.5 ° Pressure angle M and W;
- Part 8. 45 ° pressure angle M and W;
Part 9. Measuring rods.
This part is part 6 of GB/T 3478.
This part refers to ISO 4156-2..2005 "Cylindrical Straight Tooth Spline Spline (Metric Modulus Tooth Side) Part 2. Dimensions"
For the 30 ° pressure angle M value and W value, it is for GB/T 3478.6-1995 "Cylindrical Straightener Involute Spline 30 ° Pressure Angle M Value and W
Value "of the revision.
The main differences between this part and GB/T 3478.6-1995 are as follows.
--- standard name from the "cylindrical straight teeth involute spline 30 ° pressure angle M value and W value" to "cylindrical straight involute spline (m
Modular tooth side mating) Part 6. 30 ° pressure angle M value and W value ";
--- modified the original standard of the error, according to GB/T 1.1 made editorial changes.
This part of the national machinery shaft and accessories standardization technical committee put forward and centralized.
This part of the drafting unit. in the machine productivity promotion center, Harbin Dongan engine manufacturing company, Shijiazhuang sprocket factory, China second
Machinery Group Corporation, Taiyuan Heavy Industry Co., Ltd.
This part of the main drafters. Ming Cui new, often treasure India, Xu Wenjiang, Tan Ren Wan, Wang Xiaoling, Deng Gao see.
This part of the previous version of the standard to replace the release of the situation.
--- GB/T 3478.6-1995.
Straight cylindrical involute splines
(Metric series of teeth with the side)
Part 6. 30 ° pressure angle M and W values
1 Scope
This part of GB/T 3478 specifies the M value of the involute spline of the cylindrical straight teeth with a pressure angle of 30 ° (rod spacing MRi,
MRe) and W value (the average length of the spline normal line) and the limit size table.
This part is applicable to involute splines with a pressure angle of 30 ° manufactured and manufactured according to GB/T 3478.1.
2 normative reference documents
The terms of this document are the terms of this part by reference to this part of GB/T 3478. Any reference to the date of the text
, All subsequent amendments (excluding corrigenda) or revisions do not apply to this part, however, encouragement under this section
The parties to the agreement study whether the latest versions of these files are available. For undated references, the latest edition of this document applies
section.
GB/T 321 priority and priority series
GB/T 3478.1 Cylindrical straight teeth involute splines (metric series of teeth with side) Part 1. General (GB/T 3478.1-
2008, ISO 4156-1..2005, MOD)
3 bar measurement of the size of the formula
Note. Allow the corresponding steel ball instead of the bar.
3.1 Calculation formula for measuring the size of internal spline bar
Figure 1
D'Ri = Db [tanαci-tan (αci-EmaxD + invαci-inv30 °
)] (1)
Where.
D'Ri - the calculated diameter of the bar;
Αci - the pressure angle on the spline and the rod contact point, expressed in radians, αci = cos-1
Db
Dci
Dci --- internal spline and measuring rod at the point of contact diameter.
Dci = Deemax + Dimin2
Deemax --- the maximum size of the external spline;
Dimin --- minimum value of internal spline trails;
Emax --- the actual maximum cogging width, the table by the tolerance level of 7 values.
Invαci = tanαci-αci;
Inv30 ° = 0.0537515.
The rod diameter DRi is selected according to R40 in GB/T 321. If D'Ri is not the R40 series value, it should be selected to be the closest to D'Ri
The value.
Figure 2
Even teeth.
MRimax = Dbcosαimax-
DRi (2)
MRimin = Dbcosαimin-
DRi (3)
Odd teeth.
MRimax = Dbcosαimax ×
Cos90 ° z-DRi
(4)
MRimin = Dbcosαimin ×
Cos90 ° z-DRi
(5)
Where.
MRimax --- the maximum value of the spline bar spacing;
MRimin - the minimum value of the spline bar spacing;
Αimax --- When E is Emax, the internal pressure on the center circle of the pressure bar.
Invαimax = EmaxD + inv30 ° -
DRi
Db
Αimin --- When E is Emin, the internal pressure on the center circle of the internal pressure bar.
Invαimin = EminD + inv30 ° -
DRi
Db
DRi - internal spline bar diameter.
3.2 Calculation formula for measuring the size of external spline bar
Figure 3
D'Re = Db [tan (αce + invαce + π z -
Smin
D -inv30 °
) -tanαce] (6)
Where.
D'Re - the calculated diameter of the bar;
Αce - the pressure angle on the outer spline and the rod contact point, expressed in radians, αce = cos-1
Db
Dce
Dce --- outside the splines and measuring rods at the point of contact.
Dce = Deemax + Dimin2
Smin --- the actual minimum tooth thickness, the table by tolerance level 7 and the basic deviation of h value;
Invαce = tanαce-αce.
The rod diameter DRe is selected according to R40 in GB/T 321. If D'Re is not the R40 series value, the value closest to D'Re should be selected.
Figure 4
Even teeth.
MRemin = Dbcosαemin +
DRe (7)
MRemax = Dbcosαemax +
DRe (8)
Odd teeth.
MRemin = Dbcosαemin ×
Cos90 ° z + DRe
(9)
MRemax = Dbcosαemax ×
Cos90 ° z + DRe
(10)
Where.
MRemin - the minimum value of the spline span of the spline;
MRemax - the maximum value of the spline span between the outer splines;
Αemin --- When S is Smin, the pressure angle on the center circle of the external spline bar.
Invαemin = DReDb +
Inv30 ° + SminD -
Αemax - when S is Smax, the pressure angle on the center circle of the external spline bar.
Invαemax = DReDb +
Inv30 ° + SmaxD -
DRe - outside the spline with the diameter of the rod.
4 The formula for the average length W of the outer spikes (see Figure 5)
Figure 5
Wmax = Wmin + Tcos30 ° (12)
Where.
Wmin --- the average length of the common line of the minimum;
Wmax --- the maximum length of the average length of the common law;
K - number of teeth, K = z/6 + 0.5 (take integer);
(T + λ) --- total tolerance;
T --- processing tolerances;
Esv --- the role of tooth thickness on the deviation.
5 bar measurement size
5.1 Measuring the size of the internal spline
Modulus of 0.5mm ~ 10mm, the number of teeth 10 to 100, the tolerance level of 4 to 7, the basic deviation of the h of the internal spline measurement with the amount of stick
Diameter DRi, maximum rod spacing MRimax and minimum MRimin See Table 1 to Table 14.
5.2 Measuring the size of the outer spline
5.2.1 The amount of the outer spline is 0.5mm ~ 10mm, the number of teeth is 10 ~ 100, the tolerance level is 4 ~ 7, the basic deviation is h
Rod diameter DRe, minimum value of span distance MRemin and max MRemax see Table 15 to Table 28.
5.2.2 When the basic deviation of the spline is not h, the span distance shall be calculated according to the formula listed in 3.2.2 or calculated according to the following formula
After the difference ΔMRe, the span value in the table is corrected.
ΔMRe = Ke · esv (13)
5.3 The rod diameter DRi and DRe listed in Tables 1 to 28 are determined according to 3.1.1 and 3.2.1. If necessary, make a number on the bar
Plane to avoid contact with the spline trails.
5.4 When the actual selection of the rod diameter and the diameter listed in the standard are different, the maximum distance between the spline rod spacing MRimax and the minimum
MRimin, the minimum value of the spline span distance MRemin and the maximum value MRemax, should be calculated according to the actual rod diameter.
6 km normal length W limit value
6.1 Modulus 0.5mm ~ 10mm, the number of teeth 10 ~ 100, the tolerance level of 4 to 7, the basic deviation of h outside the average length of the normal length of the horn
Degrees W limit values, see Table 29 to Table 42.
6.2 When the basic deviation of the external spline tooth thickness is not h, the difference ΔW of the average length of its common line is calculated as follows.
ΔW = esv · cos 30 ° = 0.866esv (14)
Number of teeth
Diameter bar
DRi
Emin and Emax Rod Distance MRi
4H 5H 6H 7H
Min max min max min max min max
0.95
0.95
0.95
0.95
0.95
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
3.537
3.811
4.376
4.865
5.426
5.685
6.245
6.729
7.275
7.755
8.293
8.773
9.306
9.786
10.316
10.797
11.324
11.805
12.330
12.812
13.335
13.818
14.339
14.823
15.343
15.628
16.147
16.633
17.151
17.638
18.155
18.642
19.158
19.646
20.161
20.650
21.164
21.653
22.167
22.656
23.169
23.658
24.171
24.661
25.173
25.663
3.488
3.831
4.426
4.906
5.464
5.730
6.286
6.766
7.311
7.789
8.327
8.805
9.338
9.818
10.347
10.827
11.354
11.835
12.360
12.842
13.364
13.847
14.368
14.852
15.372
15.658
16.177
16.663
17.181
17.667
18.184
18.671
19.187
19.675
20.190
20.678
21.193
21.681
22.195
22.684
23.197
23.686
24.199
24.689
25.201
25.691
3.520
3.770
4.396
4.881
5.441
5.703
6.261
6.744
7.289
7.769
8.307
8.786
9.319
9.799
10.329
10.809
11.336
11.818
12.342
12.825
13.347
13.831
14.352
14.836
15.355
15.641
16.160
16.646
17.164
17.651
18.168
18.655
19.171
19.659
20.174
20.663
21.177
21.666
22.180
22.669
23.182
23.671
24.184
24.674
25.186
25.676
3.418
3.895
4.473
4.948
5.503
5.775
6.328
6.806
7.349
7.826
8.363
8.841
9.374
9.853
10.382
10.862
11.388
11.869
12.394
12.876
13.398
13.881
14.402
14.886
15.405
15.692
16.211
16.697
17.215
17.702
18.219
18.706
19.222
19.709
20.225
20.713
21.227
21.716
22.229
22.718
23.232
23.721
24.234
24.723
25.235
25.725
3.492
3.826
4.423
4.903
5.462
5.727
6.284
6.765
7.309
7.788
8.326
8.805
9.338
9.817
10.347
10.827
11.354
11.835
12.360
12.842
13.365
13.848
14.369
14.853
15.373
15.659
16.178
16.665
17.183
17.669
18.186
18.674
19.190
19.678
20.193
20.681
21.196
21.684
22.198
22.687
23.201
23.690
24.203
24.693
25.205
25.695
3.487
3.968
4.537
5.006
5.559
5.838
6.387
6.863
7.404
7.881
8.417
8.894
9.426
9.904
10.433
10.912
11.439
11.919
12.444
12.926
13.448
13.931
14.452
14.935
15.455
15.744
16.263
16.749
17.266
17.753
18.270
18.757
19.273
19.761
20.276
20.764
21.278
21.767
22.281
22.770
23.283
23.772
24.285
24.775
25.287
25.777
3.438
3.881
4.463
4.938
5.495
5.765
6.319
6.798
7.341
7.819
8.356
8.834
9.367
9.846
10.376
10.856
11.383
11.864
12.388
12.871
13.393
13.876
14.398
14.881
15.401
15.688
16.207
16.694
17.212
17.699
18.216
18.703
19.219
19.707
20.222
20.710
21.225
21.714
22.228
22.717
23.230
23.720
24.233
24.722
25.235
25.725
3.605
4.069
4.631
5.095
5.646
5.933
6.480
6.952
7.492
7.967
8.502
8.978
9.509
9.987
10.516
10.99
11.521
12.001
12.526
13.007
13.530
14.012
14.534
15.017
15.537
15.828
16.347
16.833
17.351
17.837
18.354
18.841
19.357
19.845
20.360
20.848
21.363
21.851
22.365
22.854
23.368
23.857
24.370
24.860
25.372
25.862
Table 1 (continued) The unit is in millimeters
Number of teeth
Diameter bar
DRi
Emin and Emax Rod Distance MRi
4H 5H 6H 7H
Min max min max min max min max
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
1.06
26.175
26.665
27.176
27.667
28.178
28.669
29.179
29.670
30.181
30.672
31.182
31.673
32.183
32.675
33.184
33.676
34.185
34.677
35.186
35.679
36.187
36.680
37.188
37.681
38.189
38.682
39.190
39.683
40.191
40.684
41.191
41.685
42.192
42.686
43.193
43.687
44.194
44.687
45.194
45.688
46.195
46.689
47.196
47.690
48.196
26.202
26.693
27.204
27.695
28.205
28.696
29.207
29.698
30.208
30.699
31.209
31.701
32.210
32.702
33.211
33.703
34.212
34.705
35.213
35.706
36.214
36.707
37.215
37.708
38.216
38.709
39.217
39.710
40.218
40.711
41.218
41.712
42.219
42.713
43.220
43.713
44.220
44.714
45.221
45.715
46.222
46.716
47.222
47.716
48.223
26.188
26.678
27.190
27.680
28.191
28.682
29.193
29.684
30.194
30.686
31.196
31.687
32.197
32.689
33.198
33.690
34.199
34.692
35.200
35.693
36.201
36.694
37.202
37.695
38.203
38.696
39.204
39.697
40.205
40.698
41.206
41.699
42.207
42.700
43.208
43.701
44.208
44.702
45.209
45.703
46.210
46.704
47.211
47.705
48.211
26.237
26.727
27.239
27.729
28.240
28.731
29.242
29.733
30.243
30.734
31.244
31.736
32.245
32.737
33.247
33.739
34.248
34.740
35.249
35.741
36.250
36.742
37.251
37.744
38.252
38.745
39.253
39.746
40.253
40.747
41.254
41.748
42.255
42.749
43.256
43.750
44.257
44.750
45.257
45.751
46.258
46.752
47.259
47.753
48.259
26.207
26.697
27.209
27.699
28.210
28.701
29.212
29.703
30.214
30.705
31.215
31.707
32.216
32.708
33.218
33.710
34.219
34.711
35.220
35.713
36.221
36.714
37.222
37.715
38.224
38.717
39.225
39.718
40.226
40.719
41.227
41.720
42.227
42.721
43.228
43.722
44.229
44.723
45.230
45.724
46.231
46.725
47.232
47.726
48.233
26.289
26.779
27.291
27.781
28.292
28.783
29.294
29.785
30.295
30.787
31.297
31.788
32.298
32.790
33.299
33.791
34.300
34.793
35.302
35.794
36.303
36.795
37.304
37.797
38.305
38.798
39.306
39.799
40.307
40.800
41.308
41.801
42.309
42.803
43.310
43.804
44.311
44.805
45.312
45.806
46.312
46.807
47.313
47.808
48.314
26.237
26.727
27.239
27.729
28.241
28.732
29.242
29.734
30.244
30.735
31.246
31.737
32.247
32.739
33.249
33.741
34.250
34.742
35.251
35.744
36.253
36.745
37.254
37.747
38.255
38.748
39.256
39.750
40.257
40.751
41.259
41.752
42.260
42.753
43.261
43.755
44.262
44.756
45.263
45.757
46.264
46.758
47.265
47.759
48.266
26.374
26.865
27.376
27.867
28.378
28.869
29.380
29.871
30.381
30.873
31.383
31.875
32.385
32.877
33.386
33.878
34.388
34.880
35.389
35.882
36.391
36.883
37.392
37.885
38.393
38.886
39.395
39.888
40.396
40.889
41.397
41.891
42.398
42.892
43.399
43.893
44.401
44.895
45.402
45.896
46.403
46.897
47.404
47.898
48.405
Number of teeth
Diameter bar
DRi
Emin and Emax Rod Distance MRi
4H 5H 6H 7H
Min max min max min max min max
1.40
1.40
1.40
1.40
1.40
1.40
1.40
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
5.241
5.791
6.676
7.394
8.230
8.939
9.759
10.081
10.900
11.621
12.428
13.148
13.948
14.668
15.463
16.184
16.975
17.697
18.484
19.208
19.992
20.717
21.498
22.224
23.004
23.731
24.509
25.237
26.013
26.742
27.517
28.247
29.020
29.751
30.523
31.255
32.026
32.758
33.529
34.262
35.031
35.764
36.533
37.267
38.035
38.770
5.162
5.859
6.728
7.439
8.273
8.980
9.798
10.125
10.943
11.661
12.468
13.187
13.986
14.706
15.500
16.220
17.011
17.732
18.519
19.243
20.026
20.751
21.533
22.258
23.038
23.765
24.542
25.270
26.046
26.775
27.550
28.280
29.053
29.784
30.556
31.287
32.059
32.791
33.561
34.294
35.063
35.797
36.565
37.299
38.067
38.802
5.218
5.816
6.694
7.410
8.245
8.954
9.773
10.097
10.916
11.636
12.443
13.162
13.963
14.682
15.477
16.198
16.989
17.711
18.498
19.222
20.006
20.731
21.512
22.238
23.018
23.745
24.523
25.251
26.027
26.756
27.531
28.261
29.035
29.765
30.538
31.269
32.041
32.773
33.543
34.276
35.046
35.779
36.548
37.282
38.050
38.785
5.174
5.919
6.778
7.485
8.316
9.021
9.838
10.172
10.987
11.705
12.510
13.228
14.027
14.746
15.540
16.260
17.050
17.772
18.558
19.281
20.065
20.790
21.571
22.297
23.076
23.803
24.581
25.309
26.085
26.814
27.589
28.318
29.092
29.822
30.595
31.326
32.097
32.829
33.600
34.333
35.102
35.835
36.604
37.338
38.106
38.841
5.178
5.849
6.720
7.433
8.267
8.974
9.793
10.120
10.938
11.657
12.464
13.183
13.983
14.703
15.497
16.218
17.008
17.731
18.518
19.241
20.025
20.750
21.532
22.258
23.038
23.765
24.543
25.271
26.047
26.776
27.551
28.281
29.055
29.785
30.558
31.289
32.061
32.793
33.564
34.297
35.066
35.800
36.569
37.303
38.071
38.805
5.284
5.998
6.849
7.550
8.379
9.082
9.898
10.239
11.053
11.768
12.573
13.289
14.088
14.806
15.599
16.319
17.109
17.830
18.617
19.339
20.123
20.847
21.629
22.354
23.134
23.861
24.638
25.366
26.142
26.871
27.646
28.376
29.149
29.880
30.652
31.384
32.155
32.887
33.658
34.391
35.160
35.894
36.662
37.396
38.165
38.899
5.130
5.897
6.760
7.469
8.301
9.007
9.825
10.157
10.973
11.691
12.497
13.216
14.015
14.735
15.529
16.250
17.040
17.762
18.549
19.272
20.056
20.781
21.563
22.289
23.069
23.796
24.574
25.302
26.078
26.807
27.582
28.312
29.086
29.817
30.590
31.321
32.093
32.825
33.596
34.329
35.098
35.832
36.601
37.335
38.104
38.838
5.417
6.113
6.956
7.652
8.478
9.178
9.993
10.345
11.156
11.870
12.673
13.388
14.186
14.903
15.696
16.415
17.205
17.925
18.712
19.434
20.218
20.942
21.724
22.449
23.229
23.955
24.733
25.461
26.237
26.966
27.741
28.471
29.244
29.975
30.748
31.479
32.251
32.983
33.754
34.486
35.256
35.990
36.759
37.493
38.261
38.996
Table 2 (continued) Units in millimeters
Number of teeth
Diameter bar
DRi
Emin and Emax Rod Distance MRi
4H 5H 6H 7H
Min max min max min max min max
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.50
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
1.60
39.537
40.272
41.039
41.774
42.540
43.276
44.042
44.778
45.543
46.280
47.045
47.782
48.546
49.284
49.733
50.472
51.235
51.973
52.737
53.475
54.238
54.977
55.739
56.479
57.241
57.980
58.742
59.482
60.243
60.983
61.744
62.485
63.246
63.986
64.747
65.487
66.248
66.988
67.749
68.490
69.250
69.991
70.751
71.492
72.251
39.569
40.304
41.070
41.806
42.572
43.308
44.073
44.810
45.575
46.311
47.076
47.813
48.577
49.315
49.765
50.503
51.266
52.005
52.768
53.507
54.269
55.008
55.771
56.510
57.272
58.011
58.773
59.513
60.274
61.014
61.775
62.515
63.276
64.017
64.777
65.518
66.278
67.019
67.779
68.520
69.280
70.021
70.781
71.522
72.282
39.552
40.287
41.054
41.789
42.556
43.292
44.057
44.794
45.559
46.296
47.060
47.797
48.562
49.299
49.749
50.488
51.251
51.990
52.753
53.491
54.254
54.993
55.756
56.495
57.257
57.997
58.759
59.498
60.260
61.000
61.761
62.501
63.262
64.003
64.764
65.504
66.265
67.005
67.766
68.507
69.267
70.008
70.768
71.509
72.269
39.608
40.343
41.110
41.845
42.611
43.347
44.113
44.849
45.614
46.351
47.116
47.853
48.617
49.355
49.806
50.544
51.307
52.046
52.809
53.547
54.310
55.049
55.812
56.551
57.313
58.052
58.814
59.554
60.315
61.055
61.817
62.557
63.318
64.058
64.819
65.559
66.320
67.061
67.821
68.562
69.322
70.063
70.823
71.564
72.324
39.573
40.308
41.075
41.811
42.577
43.313
44.079
44.815
45.580
46.317
47.082
47.819
48.583
49.321
49.772
50.510
51.274
52.012
52.775
53.514
54.277
55.016
55.779
56.518
57.280
58.020
58.782
59.522
60.283
61.023
61.785
62.525
63.286
64.026
64.787
65.528
66.289
67.029
67.790
68.531
69.291
70.032
70.792
71.534
72.293
39.667
40.402
41.168
41.904
42.670
43.406
44.172
44.908
45.674
46.410
47.175
47.912
48.677
49.414
49.866
50.604
51.368
52.106
52.870
53.608
54.371
55.110
55.873
56.612
57.374
58.114
58.876
59.616
60.377
61.117
61.879
62.619
63.380
64.120
64.881
65.622
66.382
67.123
67.884
68.625
69.385
70.126
70.886
71.627
72.387
39.606
40.341
41.108
41.844
42.610
43.346
44.112
44.849
45.614
46.351
47.116
47.853
48.618
49.355
49.807
50.545
51.309
52.047
52.811
53.549
54.312
55.052
55.814
56.554
57.316
58.056
58.818
59.558
60.319
61.060
61.821
62.561
63.323
64.063
64.824
65.565
66.326
67.067
67.827
68.568
69.328
70.070
70.830
71.571
72.331
39.764
40.499
41.266
42.001
42.768
43.504
44.270
45.006
45.772
46.509
47.274
48.011
48.776
49.513
49.967
50.705
51.469
52.207
52.971
53.710
54.473
55.212
55.975
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