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GB/T 3478.7-2008Straight cylindrical involute splines - Metric module, side fit - Part 7: 37.5°pressure angle M and W values (English PDF)

圆柱直齿渐开线花键（米制模数齿侧配合) 第7部分：37.5°压力角M值和W值

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Issued by

SAMR; SAC

Level / Type

National · Recommended

Issue date

September 27, 2008

Implementation date

May 1, 2009

Scope

GB/T 3478.7-2008 is the English-translated version of 圆柱直齿渐开线花键（米制模数齿侧配合) 第7部分：37.5°压力角M值和W值.

GB/T 3478.7-2008 is the Chinese standard "Straight cylindrical involute splines - Metric module, side fit - Part 7: 37.5°pressure angle M and W values".

Its scope clause reads: This part of GB/T 3478 specifies the M value of the involute spline of the cylindrical straight teeth with a pressure angle of 37.5 ° (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 37.5 ° manufactured and manufactured according to GB/T 3478.1. Its clauses include normative reference documents; bar measurement of the size of the formula; bar measurement size; km normal length w limit value.

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Document preview — GB/T 3478.7-2008

National Standard of the People's Republic of China

ICS: 21.120.30
Classification: J 18
Replacing: GB/T 3478.7-1995

Issued by: State Administration for Market Regulation; Standardization Administration of the PRC

1 Scope
2 normative reference documents
3 bar measurement of the size of the formula
5 bar measurement size
6 km normal length W limit value

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 37.5 ° (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 37.5 ° 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 [tanalphaci-tan (alphaci-EmaxD + invalphaci-inv37.5 °

)] (1)

Where.

D'Ri - the calculated diameter of the bar;

alphaci - the pressure angle on the spline and the rod contact point, expressed in radians, alphaci = cos-1

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.

Invalphaci = tanalphaci-alphaci;

Inv37.5 ° = 0.1128285.

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 = Dbcosalphaimax-

DRi (2)

MRimin = Dbcosalphaimin-

DRi (3)

Odd teeth.

MRimax = Dbcosalphaimax ×

Cos90 ° z-DRi (4)

MRimin = Dbcosalphaimin ×

Cos90 ° z-DRi (5)

Where.

MRimax --- the maximum value of the spline bar spacing;

MRimin - the minimum value of the spline bar spacing;

alphaimax --- When E is Emax, the internal pressure on the center circle of the pressure bar.

Invalphaimax = EmaxD + inv37.5 ° -

DRi

alphaimin --- When E is Emin, the internal pressure on the center circle of the internal pressure bar.

Invalphaimin = EminD + inv37.5 ° -

DRi

DRi - internal spline bar diameter.

3.2 Calculation formula for measuring the size of external spline bar

Figure 3

D'Re = Db [tan (alphace + invalphace + piz-

Smin

D -inv37.5 °

) -tanalphace] (6)

Where.

D'Re - the calculated diameter of the bar;

alphace - the pressure angle on the outer spline and the rod contact point, expressed in radians, alphace = cos-1

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.

Invalphace = tanalphace-alphace.

The rod diameter DRe is selected according to R40 in GB/T 321. If D'Re is not the value of R40 series, the closest to D'Re should be selected.

value.

Figure 4

Even teeth.

MRemin = Dbcosalphaemin +

DRe (7)

MRemax = Dbcosalphaemax +

DRe (8)

Odd teeth.

MRemin = Dbcosalphaemin ×

Cos90 ° z + DRe (9)

MRemax = Dbcosalphaemax ×

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;

alphaemin --- When S is Smin, the pressure angle on the center circle of the external spline bar.

Invalphaemin = DReDb +

Inv37.5 ° + SminD -

alphaemax - when S is Smax, the pressure angle on the center circle of the external spline bar.

Invalphaemax = DReDb +

Inv37.5 ° + 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 + Tcos37.5 ° (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 = 1.25 z/6 + 0.5 (take integer);

(T + lambda) --- 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 deltaMRe, the span value in the table is corrected.

deltaMRe = 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 deltaW of the average length of its common line is calculated as follows.

deltaW = esv · cos 37.5 ° = 0.793esv (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

1.00

1.06

1.12

3.277

3.750

4.313

4.587

5.142

5.616

6.161

6.635

7.174

7.649

8.183

8.659

9.190

9.668

10.195

10.502

11.028

11.509

12.033

12.515

13.037

13.520

14.041

14.525

15.044

15.529

16.047

16.532

17.049

17.535

18.051

18.538

19.053

19.540

20.055

20.543

21.057

21.545

22.058

22.547

23.060

23.549

24.061

24.550

25.062

25.552

3.306

3.775

4.337

4.612

5.167

5.639

6.184

6.657

7.196

7.671

8.205

8.681

9.211

9.689

10.217

10.523

11.049

11.530

12.054

12.536

13.058

13.541

14.062

14.546

15.065

15.549

16.067

16.553

17.070

17.556

18.072

18.559

19.074

19.561

20.076

20.563

21.077

21.565

22.079

22.567

23.080

23.569

24.081

24.571

25.082

25.572

3.288

3.760

4.322

4.597

5.152

5.625

6.170

6.644

7.182

7.657

8.192

8.668

9.199

9.676

10.204

10.511

11.037

11.518

12.042

12.524

13.046

13.529

14.050

14.534

15.053

15.538

16.056

16.541

17.058

17.544

18.061

18.547

19.063

19.550

20.064

20.552

21.066

21.554

22.068

22.556

23.069

23.558

24.071

24.560

25.072

25.562

3.335

3.802

4.363

4.640

5.193

5.665

6.209

6.682

7.221

7.695

8.229

8.705

9.235

9.713

10.241

10.548

11.074

11.555

12.078

12.560

13.083

13.565

14.086

14.570

15.089

15.574

16.092

16.577

17.094

17.580

18.097

18.583

19.098

19.586

20.100

20.588

21.102

21.590

22.103

22.592

23.105

23.594

24.106

24.596

25.107

25.597

3.304

3.773

4.336

4.611

5.165

5.638

6.183

6.657

7.195

7.670

8.204

8.680

9.211

9.689

10.216

10.523

11.049

11.530

12.054

12.537

13.059

13.542

14.062

14.546

15.066

15.550

16.069

16.554

17.071

17.557

18.074

18.560

19.076

19.563

20.078

20.565

21.079

21.568

22.081

22.570

23.083

23.572

24.084

24.573

25.085

25.575

3.377

3.841

4.401

4.679

5.232

5.703

6.247

6.719

7.257

7.731

8.265

8.741

9.271

9.749

10.276

10.584

11.110

11.591

12.115

12.597

13.119

13.602

14.122

14.606

15.126

15.610

16.128

16.614

17.131

17.617

18.133

18.620

19.135

19.622

20.137

20.625

21.139

21.627

22.141

22.629

23.142

23.631

24.144

24.633

25.145

25.635

3.328

3.796

4.357

4.633

5.187

5.659

6.204

6.677

7.216

7.690

8.224

8.700

9.231

9.709

10.236

10.544

11.070

11.551

12.075

12.557

13.079

13.562

14.083

14.567

15.086

15.571

16.089

16.575

17.092

17.578

18.094

18.581

19.097

19.584

20.099

20.586

21.101

21.589

22.102

22.591

23.104

23.593

24.106

24.595

25.107

25.597

3.444

3.904

4.463

4.744

5.295

5.764

6.308

6.779

7.317

7.791

8.324

8.800

9.330

9.807

10.335

10.644

11.170

11.651

12.175

12.657

13.179

13.662

14.183

14.666

15.186

15.670

16.189

16.674

17.192

17.678

18.194

18.681

19.196

19.684

20.198

20.686

21.200

21.689

22.202

22.691

23.204

23.693

24.206

24.695

25.207

25.697

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

1.12

1.18

26.063

26.553

27.064

27.555

28.065

28.556

29.066

29.557

30.067

30.558

30.904

31.396

31.905

32.397

32.906

33.398

33.907

34.399

34.908

35.400

35.909

36.401

36.909

37.402

37.910

38.403

38.911

39.404

39.911

40.405

40.912

41.405

41.913

42.406

42.913

43.407

43.914

44.408

44.914

45.408

45.915

46.409

46.915

47.409

47.916

26.083

26.573

27.084

27.575

28.085

28.576

29.086

29.577

30.087

30.578

30.925

31.416

31.925

32.417

32.926

33.418

33.927

34.419

34.928

35.420

35.929

36.421

36.929

37.422

37.930

38.423

38.931

39.424

39.931

40.424

40.932

41.425

41.932

42.426

42.933

43.427

43.933

44.427

44.934

45.428

45.934

46.428

46.935

47.429

47.935

26.073

26.563

27.074

27.564

28.075

28.566

29.076

29.567

30.077

30.568

30.915

31.406

31.916

32.407

32.916

33.408

33.917

34.410

34.918

35.411

35.919

36.412

36.920

37.413

37.921

38.414

38.921

39.414

39.922

40.415

40.923

41.416

41.923

42.417

42.924

43.418

43.925

44.419

44.925

45.419

45.926

46.420

46.926

47.421

47.927

26.109

26.599

27.110

27.600

28.111

28.601

29.112

29.603

30.113

30.604

30.950

31.442

31.951

32.443

32.952

33.444

33.953

34.445

34.954

35.446

35.955

36.447

36.956

37.448

37.956

38.449

38.957

39.450

39.958

40.451

40.958

41.452

41.959

42.453

42.960

43.453

43.960

44.454

44.961

45.455

45.962

46.456

46.962

47.456

47.963

26.087

26.577

27.088

27.578

28.089

28.580

29.090

29.581

30.091

30.582

30.929

31.420

31.930

32.422

32.931

33.423

33.932

34.424

34.933

35.425

35.934

36.426

36.935

37.427

37.936

38.429

38.936

39.430

39.937

40.430

40.938

41.431

41.939

42.432

42.939

43.433

43.940

44.434

44.941

45.435

45.941

46.436

46.942

47.436

47.943

26.146

26.636

27.148

27.638

28.149

28.639

29.150

29.641

30.151

30.642

30.989

31.481

31.990

32.482

32.991

33.483

33.992

34.484

34.993

35.486

35.994

36.487

36.995

37.488

37.996

38.489

38.997

39.490

39.998

40.491

40.998

41.492

41.999

42.493

43.000

43.494

44.001

44.494

45.001

45.495

46.002

46.496

47.003

47.497

48.003

26.108

26.599

27.110

27.600

28.111

28.602

29.112

29.603

30.113

30.605

30.951

31.443

31.952

32.444

32.954

33.446

33.955

34.447

34.956

35.448

35.957

36.450

36.958

37.451

37.959

38.452

38.960

39.453

39.961

40.454

40.962

41.455

41.963

42.456

42.963

43.457

43.964

44.458

44.965

45.459

45.966

46.460

46.967

47.461

47.967

26.209

26.699

27.210

27.701

28.212

28.703

29.213

29.704

30.214

30.706

31.053

31.545

32.054

32.546

33.056

33.548

34.057

34.549

35.058

35.551

36.059

36.552

37.060

37.553

38.062

38.555

39.063

39.556

40.064

40.557

41.065

41.558

42.066

42.559

43.067

43.560

44.068

44.561

45.068

45.563

46.069

46.564

47.070

47.565

48.071 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

1.60

1.70

4.907

5.616

6.461

7.164

7.990

8.693

9.508

9.914

10.723

11.436

12.237

12.952

13.748

14.465

15.257

15.976

16.764

17.485

18.270

18.992

19.775

20.498

21.279

22.004

22.783

23.509

24.286

25.013

25.789

26.517

27.291

28.021

28.794

29.524

30.296

30.751

31.522

32.254

33.025

33.757

34.527

35.260

36.029

36.763

37.531

38.265

4.941

5.647

6.490

7.191

8.017

8.720

9.534

9.941

10.749

11.462

12.263

12.978

13.774

14.490

15.282

16.001

16.789

17.509

18.294

19.017

19.799

20.523

21.303

22.028

22.807

23.533

24.310

25.037

25.813

26.541

27.315

28.045

28.817

29.548

30.319

30.775

31.546

32.278

33.048

33.781

34.550

35.284

36.052

36.786

37.554

38.289

4.918

5.627

6.471

7.173

7.999

8.703

9.517

9.924

10.732

11.445

12.247

12.962

13.758

14.475

15.266

15.985

16.774

17.494

18.279

19.002

19.784

20.508

21.289

22.014

22.793

23.519

24.296

25.023

25.799

26.527

27.302

28.031

28.804

29.534

30.306

30.762

31.533

32.265

33.035

33.768

34.537

35.271

36.040

36.774

37.541

38.276

4.975

5.678

6.520

7.220

8.045

8.748

9.561

9.970

10.778

11.490

12.291

13.006

13.801

14.518

15.310

16.028

16.816

17.537

18.322

19.044

19.827

20.550

21.331

22.056

22.834

23.561

24.338

25.065

25.840

26.569

27.343

28.072

28.845

29.576

30.348

30.804

31.575

32.307

33.077

33.810

34.579

35.313

36.081

36.815

37.583

38.317

4.935

5.642

6.486

7.187

8.013

8.716

9.530

9.938

10.746

11.459

12.261

12.975

13.771

14.488

15.280

15.999

16.787

17.508

18.293

19.016

19.798

20.522

21.303

22.028

22.807

23.533

24.310

25.038

25.813

26.542

27.316

28.045

28.818

29.549

30.321

30.777

31.548

32.280

33.050

33.783

34.553

35.286

36.055

36.789

37.557

38.291

5.025

5.724

6.565

7.263

8.087

8.789

9.602

10.013

10.820

11.532

12.333

13.047

13.843

14.559

15.351

16.069

16.857

17.578

18.363

19.085

19.868

20.591

21.372

22.097

22.876

23.602

24.379

25.107

25.882

26.611

27.385

28.114

28.887

29.618

30.390

30.846

31.617

32.349

33.120

33.853

34.622

35.356

36.124

36.858

37.626

38.361

4.962

5.666

6.509

7.210

8.035

8.738

9.552

9.960

10.769

11.481

12.282

12.997

13.793

14.510

15.302

16.021

16.809

17.530

18.315

19.037

19.820

20.544

21.325

22.050

22.829

23.555

24.332

25.060

25.836

26.564

27.339

28.068

28.841

29.572

30.344

30.800

31.571

32.304

33.074

33.807

34.576

35.310

36.079

36.813

37.581

38.316

5.103

5.797

6.636

7.333

8.156

8.857

9.670

10.083

10.890

11.601

12.402

13.115

13.911

14.627

15.419

16.137

16.926

17.646

18.431

19.153

19.936

20.660

21.440

22.165

22.944

23.671

24.448

25.175

25.951

26.680

27.454

28.184

28.957

29.687

30.459

30.917

31.688

32.420

33.191

33.924

34.693

35.427

36.196

36.930

37.698

38.433 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

1.70

39.032

39.767

40.534

41.269

42.035

42.771

43.537

44.273

45.038

45.775

46.539

47.276

48.040

48.778

49.542

50.279

51.043

51.781

52.544

53.282

54.045

54.783

55.546

56.284

57.046

57.786

58.547

59.287

60.048

60.788

61.549

62.289

63.050

63.790

64.550

65.291

66.051

66.792

67.552

68.292

69.052

69.793

70.553

71.294

72.054

39.056

39.791

40.557

41.293

42.059

42.795

43.560

44.296

45.061

45.798

46.562

47.299

48.064

48.801

49.565

50.302

51.066

51.804

52.567

53.305

54.067

54.806

55.568

56.307

57.069

57.808

58.570

59.309

60.071

60.810

61.571

62.311

63.072

63.812

64.573

65.313

66.073

66.814

67.574

68.315

69.075

69.816

70.575

71.316

72.076

39.043

39.778

40.545

41.280

42.047

42.783

43.548

44.284

45.049

45.786

46.551

47.288

48.052

48.790

49.553

50.291

51.054

51.792

52.555

53.294

54.056

54.795

55.557

56.296

57.058

57.798

58.559

59.299

60.060

60.800

61.561

62.301

63.062

63.802

64.563

65.303

66.064

66.804

67.564

68.305

69.065

69.806

70.566

71.307

72.066

39.085

39.820

40.586

41.322

42.088

42.824

43.589

44.326

45.091

45.827

46.592

47.329

48.093

48.831

49.594

50.332

51.095

51.834

52.596

53.335

54.097

54.836

55.598

56.337

57.099

57.839

58.600

59.340

60.101

60.841

61.602

62.342

63.103

63.843

64.604

65.344

66.104

66.845

67.605

68.346

69.106

69.847

70.606

71.348

72.107

39.059

39.794

40.561

41.296

42.062

42.798

43.564

44.300

45.065

45.802

46.567

47.304

48.068

48.806

49.570

50.307

51.071

51.809

52.572

53.311

54.073

54.812

55.574

56.313

57.075

57.815

58.576

59.316

60.077

60.817

61.578

62.318

63.079

63.820

64.580

65.321

66.081

66.822

67.582

68.323

69.083

69.824

70.584

71.325

72.084

39.128

39.863

40.630

41.365

42.132

42.868

43.633

44.370

45.135

45.871

46.636

47.373

48.137

48.875

49.639

50.377

51.140

51.878

52.641

53.380

54.142

54.881

55.644

56.383

57.145

57.884

58.646

59.385

60.147

60.887

61.648

62.388

63.149

63.889

64.650

65.390

66.150

66.891

67.651

68.392

69.152

69.893

70.653

71.394

72.154

39.083

39.818

40.585

41.321

42.087

42.823

43.589

44.325

45.090

45.827

46.592

47.329

48.094

48.831

49.595

50.333

51.096

51.835

52.598

53.336

54.099

54.838

55.600

56.340

57.102

57.841

58.603

59.343

60.104

60.844

61.605

62.345

63.106

63.847

64.607

65.348

66.108

66.849

67.609

68.350

69.110

69.852

70.611

71.353

72.112

39.200

39.935

40.702

41.438

42.204

42.940

43.706

44.443

45.208

45.945

46.710

47.447

48.211

48.949

49.713

50.451

51.214

51.953

52.716

53.454

54.217

......
This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 70 pages — is available in the English PDF.

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Editions of GB/T 3478.7

Edition	Title	Revision	Status
GB/T 3478.7-2008	Straight cylindrical involute splines - Metric module, side fit - Part 7: 37.5°pressure angle M and W values	current edition	Current
GB/T 3478.7-1995	Straight cylindrical involute splines - Metric module, side fit - Part 7: 37.5°pressure angle M and W values	previous edition	Superseded

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