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GB/T 3478.8-2008Straight cylindrical involute splines - Metric module, side fit - Part 8: 45°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8部分：45°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 3478.8-2008 is the English-translated version of 圆柱直齿渐开线花键（米制模数齿侧配合）　第8部分：45°压力角 M值和W值.

GB/T 3478.8-2008 is the Chinese standard "Straight cylindrical involute splines - Metric module, side fit - Part 8: 45°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 45 ° (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 45 ° designed 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 3478.8-2008

National Standard of the People's Republic of China

ICS: 21.120.30
Classification: J 18
Replacing: GB/T 3478.8-1995

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 45 ° (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 45 ° designed 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

The formula for measuring the size of the measuring bar at the time of involute opening

Figure 1

D'Ri = Db [tanalphaci-tan (alphaci-EmaxD + invalphaci-inv45 °

)] (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;

Inv45 ° = 0.2146018.

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 =

Emax

D + inv45 ° -

DRi

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

Invalphaimin =

Emin

D + inv45 ° -

DRi

DRi - internal spline bar diameter.

3.2

Calculation formula of measuring the size of the bar when the spline tooth is straight

Figure 3

D'Ri = D [sin45 ° -cos45 ° × tan (45 ° -EmaxD

)] (6)

Figure 4

Even teeth.

MRimax =

Dsin (betas2 +

Emax

) -DRi

Sinbetas2

-DRi (7)

MRimin =

Dsin (betas2 +

Emin

) -DRi

Sinbetas2

-DRi (8)

Odd teeth.

MRimax =

Dsin (betas2 +

Emax

) -DRi

Sinbetas2

× cos90 ° z-DRi (9)

MRimin =

Dsin (betas2 +

Emin

) -DRi

Sinbetas2

× cos90 ° z-DRi (10)

Where.

betas is the cogging angle, betas = 90 ° -

180 °

3.3 Calculation formula for measuring the size of external spline bar

Figure 5

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

Smin

D -inv45 °

) -tanalphace] (11)

Where.

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 + Dimin

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 R40 series value, it should be selected to be closest to D'Re

The value.

Figure 6

Even teeth.

MRemin = Dbcosalphaemin +

DRe (12)

MRemax = Dbcosalphaemax +

DRe (13)

Odd teeth.

MRemin = Dbcosalphaemin ×

Cos90 ° z + DRe (14)

MRemax = Dbcosalphaemax ×

Cos90 ° z + DRe (15)

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 =

DRe

Db + inv45 ° +

Smin

D -

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

Invalphaemax =

DRe

Db + inv45 ° +

Smax

D -

DRe - outside the spline with the diameter of the rod.

4 The formula for the average length W of the male and female splines (see Figure 7)

Figure 7

Wmax = Wmin + Tcos45 = Wmin + 0.707T (17)

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 = 0.25 z + 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

The spline teeth are involute for measuring the size of the bar as follows.

Modulus of 0.25mm ~ 2.5mm, the number of teeth 10 to 100, the tolerance level of 4 to 7, the basic deviation of the amount of h h key measurement

Rod diameter DRi, rod maximum distance MRimax and minimum value MRimin see Table 1 to Table 9.

5.2

The internal spline teeth are measured in straight line with the diameter of the rod diameter DRi, the maximum rod distance MRimax and the minimum value MRimin, see Table 10 to Table 18.

5.3

The measuring bar of the external spline is as follows.

5.3.1

External spline measurement with modulus of 0.25mm ~ 2.5mm, number of teeth 10 ~ 100, tolerance level of 4 ~ 7, basic deviation h

The diameter of the rod diameter DRe, the minimum value of the span between the MRemin and the maximum value MRemax see Table 19 to Table 27.

5.3.2

When the basic deviation of the spline is not h, the span distance shall be calculated according to the formula listed in 3.3.2 or calculated as follows

After the difference deltaMRe, the span value in the table is corrected.

deltaMRe = Ke · esv (18)

Where.

Ke --- transform coefficients, see Table 19 to Table 27.

5.4

The rod diameter DRi and DRe listed in Tables 1 to 27 are determined in accordance with 3.1.1 and 3.2.1 and 3.3.1. If necessary, on the bar

Make a plane to avoid contact with the spline trails.

5.5

When the actual diameter of the rod is different from the diameter listed in the standard, the maximum value of the spline bar spacing MRimax and the minimum value

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 0.25mm ~ 2.5mm, the number of teeth 10 ~ 100, the tolerance level is 4 ~ 7, the basic deviation of h outside the spline common to the average

Length W limit, see Table 28 to Table 36.

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 45 ° = 0.707esv (19)

Number of teeth

Measuring rods diameter

DRi

Emin and Emax Rod Distance MRi

4H 5H 6H 7H

Min max min max min max min max

0.60

0.63

0.67

1.376

1.617

1.900

2.137

2.412

2.649

2.920

3.077

3.346

3.584

3.851

4.090

4.355

4.594

4.858

5.098

5.361

5.499

5.760

6.002

6.263

6.505

6.765

7.007

7.266

7.509

7.768

8.011

8.269

8.512

8.770

9.014

9.271

9.515

9.772

10.016

10.273

10.517

10.774

11.018

11.275

11.519

11.776

12.020

12.276

12.521

1.391

1.631

1.913

2.149

2.425

2.661

2.932

3.089

3.358

3.596

3.863

4.102

4.367

4.606

4.870

5.110

5.372

5.510

5.772

6.013

6.274

6.516

6.776

7.018

7.278

7.520

7.779

8.022

8.281

8.524

8.782

9.025

9.283

9.527

9.784

10.028

10.285

10.529

10.786

11.030

11.286

11.531

11.787

12.032

12.288

12.533

1.383

1.624

1.906

2.143

2.418

2.654

2.926

3.083

3.352

3.590

3.857

4.096

4.361

4.600

4.864

5.104

5.366

5.504

5.766

6.008

6.269

6.510

6.771

7.013

7.272

7.515

7.774

8.017

8.275

8.518

8.776

9.020

9.277

9.521

9.778

10.022

10.279

10.523

10.780

11.025

11.281

11.526

11.782

12.026

12.282

12.527

1.408

1.647

1.928

2.164

2.439

2.675

2.946

3.103

3.372

3.610

3.877

4.116

4.381

4.620

4.884

5.124

5.386

5.525

5.787

6.028

6.289

6.531

6.791

7.033

7.293

7.535

7.794

8.037

8.295

8.539

8.797

9.040

9.298

9.541

9.799

10.043

10.300

10.544

10.801

11.045

11.301

11.546

11.802

12.047

12.303

12.548

1.393

1.633

1.915

2.152

2.427

2.663

2.934

3.091

3.360

3.598

3.865

4.104

4.369

4.608

4.872

5.112

5.375

5.513

5.775

6.016

6.277

6.519

6.779

7.021

7.281

7.523

7.782

8.025

8.284

8.527

8.785

9.028

9.286

9.530

9.787

10.031

10.288

10.532

10.789

11.033

11.290

11.534

11.790

12.035

12.291

12.536

1.434

1.670

1.951

2.186

2.461

2.697

2.968

3.125

3.394

3.632

3.899

4.137

4.402

4.641

4.905

5.145

5.408

5.546

5.808

6.050

6.311

6.552

6.813

7.055

7.314

7.557

7.816

8.059

8.317

8.560

8.819

9.062

9.320

9.564

9.821

10.065

10.322

10.566

10.823

11.067

11.324

11.568

11.825

12.069

12.325

12.570

1.410

1.649

1.930

2.166

2.441

2.677

2.948

3.105

3.374

3.612

3.879

4.117

4.382

4.622

4.885

5.125

5.388

5.526

5.788

6.030

6.291

6.532

6.793

7.035

7.294

7.537

7.796

8.039

8.297

8.540

8.799

9.042

9.300

9.543

9.801

10.045

10.302

10.546

10.803

11.047

11.304

11.548

11.804

12.049

12.305

12.550

1.474

1.708

1.988

2.222

2.497

2.732

3.003

3.161

3.430

3.667

3.934

4.172

4.437

4.677

4.940

5.180

5.443

5.582

5.844

6.085

6.346

6.588

6.849

7.091

7.350

7.593

7.852

8.095

8.354

8.597

8.855

9.099

9.356

9.600

9.858

10.102

10.359

10.603

10.860

11.104

11.361

11.606

11.862

12.107

12.363

12.608

Table 1 (continued) The unit is in millimeters

Number of teeth

Measuring rods diameter

DRi

Emin and Emax Rod Distance MRi

4H 5H 6H 7H

Min max min max min max min max

0.67

0.71

12.777

13.022

13.277

13.523

13.679

13.924

14.179

14.425

14.680

14.926

15.180

15.426

15.681

15.927

16.181

16.427

16.682

16.928

17.182

17.428

17.683

17.929

18.183

18.429

18.683

18.930

19.184

19.430

19.684

19.931

20.184

20.431

20.685

20.931

21.185

21.432

21.685

21.932

22.186

22.433

22.686

22.933

23.186

23.433

23.686

12.788

13.033

13.289

13.534

13.690

13.936

14.191

14.437

14.692

14.937

15.192

15.438

15.693

15.938

16.193

16.439

16.693

16.940

17.194

17.440

17.694

17.941

18.195

18.441

18.695

18.941

19.195

19.442

19.696

19.942

20.196

20.443

20.696

20.943

21.197

21.443

21.697

21.944

22.197

22.444

22.697

22.944

23.198

23.445

23.698

12.783

13.028

13.284

13.529

13.685

13.931

14.186

14.431

14.686

14.932

15.187

15.433

15.687

15.933

16.188

16.434

16.688

16.934

17.189

17.435

17.689

17.936

18.190

18.436

18.690

18.937

19.190

19.437

19.691

19.937

20.191

20.438

20.691

20.938

21.192

21.439

21.692

21.939

22.192

22.439

22.693

22.940

23.193

23.440

23.693

12.803

13.049

13.304

13.549

13.706

13.951

14.206

14.452

14.707

14.953

15.208

15.453

15.708

15.954

16.209

16.455

16.709

16.955

17.210

17.456

17.710

17.956

18.210

18.457

18.711

18.957

19.211

19.458

19.712

19.958

20.212

20.459

20.712

20.959

21.213

21.460

21.713

21.960

22.213

22.460

22.714

22.961

23.214

23.461

23.714

12.792

13.037

13.292

13.538

13.694

13.939

14.195

14.440

14.695

14.941

15.196

15.442

15.696

15.942

16.197

16.443

16.698

16.944

17.198

17.444

17.698

17.945

18.199

18.445

18.699

18.946

19.200

19.446

19.700

19.947

20.201

20.447

20.701

20.948

21.201

21.448

21.702

21.949

22.202

22.449

22.702

22.950

23.203

23.450

23.703

12.826

13.071

13.327

13.572

13.729

13.974

14.229

14.475

14.730

14.976

15.231

15.477

15.731

15.977

16.232

16.478

16.733

16.979

17.233

17.479

17.734

17.980

18.234

18.481

18.735

18.981

19.235

19.482

19.736

19.982

20.236

20.483

20.736

20.983

21.237

21.484

21.737

21.984

22.238

22.485

22.738

22.985

23.238

23.486

23.739

12.806

13.051

13.307

13.552

13.708

13.954

14.209

14.455

14.710

14.956

15.210

15.456

15.711

15.957

16.212

16.458

16.712

16.958

17.213

17.459

17.713

17.960

18.214

18.460

18.714

18.961

19.215

19.461

19.715

19.962

20.216

20.463

20.716

20.963

21.217

21.464

21.717

21.964

22.218

22.465

22.718

22.965

23.218

23.465

23.719

12.864

13.109

13.365

13.610

13.767

14.012

14.268

14.513

14.768

15.014

15.269

15.515

15.770

16.016

16.271

16.517

16.771

17.018

17.272

17.519

17.773

18.019

18.274

18.520

18.774

19.021

19.275

19.521

19.775

20.022

20.276

20.523

20.777

21.023

21.277

21.524

21.778

22.025

22.278

22.525

22.779

23.026

23.279

23.526

23.780 Number of teeth

Measuring rods diameter

DRi

Emin and Emax Rod Distance MRi

4H 5H 6H 7H

Min max min max min max min max

1.12

1.18

1.25

2.986

3.456

4.015

4.483

5.031

5.501

5.883

6.356

6.893

7.368

7.901

8.377

8.906

9.384

9.911

10.390

10.915

11.217

11.741

12.223

12.744

13.227

13.747

14.231

14.750

15.234

15.752

16.237

16.754

17.240

17.756

18.242

18.757

19.244

19.759

20.246

20.760

21.248

21.761

22.250

22.762

23.251

23.763

24.253

24.764

25.254

3.004

3.473

4.032

4.499

5.048

5.517

5.900

6.372

6.909

7.384

7.917

8.393

8.922

9.400

9.927

10.406

10.930

11.233

11.756

12.238

12.760

13.242

13.763

14.246

14.765

15.250

15.767

16.253

16.769

17.255

17.771

18.258

18.773

19.260

19.774

20.262

20.775

21.263

21.777

22.265

22.778

23.267

23.779

24.268

24.780

25.269

2.993

3.462

4.021

4.489

5.038

5.507

5.889

6.363

6.900

7.374

7.907

8.383

8.913

9.391

9.917

10.397

10.921

11.224

11.747

12.229

12.751

13.234

13.754

14.237

14.756

15.241

15.759

16.244

16.761

17.247

17.762

18.249

18.764

19.251

19.766

20.253

20.767

21.255

21.768

22.257

22.770

23.259

23.771

24.260

24.772

25.261

3.024

3.492

4.050

4.518

5.066

5.535

5.918

6.390

6.927

7.402

7.934

8.410

8.940

9.418

9.944

10.423

10.948

11.251

11.774

12.256

12.778

13.261

13.781

14.264

14.783

15.268

15.786

16.271

16.788

17.274

17.789

18.276

18.791

19.278

19.793

20.280

20.794

21.282

21.795

22.284

22.797

23.285

23.798

24.287

24.799

25.288

3.003

3.472

4.031

4.498

5.047

5.516

5.899

6.372

6.909

7.383

7.916

8.392

8.922

9.400

9.927

10.406

10.931

11.233

11.756

12.239

12.760

13.243

13.763

14.247

14.766

15.250

15.768

16.253

16.770

17.256

17.772

18.259

18.774

19.261

19.776

20.263

20.777

21.265

21.778

22.267

22.780

23.269

23.781

24.270

24.782

25.272

3.054

3.520

4.078

4.544

5.092

5.561

5.945

6.417

6.954

7.428

7.961

8.437

8.967

9.444

9.971

10.450

10.975

11.278

11.801

12.283

12.805

13.288

13.808

14.292

14.811

15.295

15.813

16.298

16.815

17.301

17.817

18.304

18.819

19.306

19.820

20.308

20.822

21.310

21.823

22.312

22.825

23.314

23.826

24.315

24.827

25.317

3.020

3.488

4.046

4.513

5.062

5.531

5.914

6.387

6.924

7.398

7.931

8.407

8.937

9.414

9.941

10.421

10.945

11.248

11.772

12.254

12.775

13.258

13.778

14.262

14.781

15.266

15.784

16.269

16.786

17.272

17.788

18.274

18.790

19.277

19.791

20.279

20.793

21.281

21.794

22.283

22.796

23.285

23.797

24.287

24.798

25.288

3.102

3.566

4.123

4.589

5.137

5.605

5.989

6.461

6.998

7.472

8.005

8.481

9.011

9.488

10.015

10.494

11.019

11.323

11.846

12.328

12.850

13.333

13.853

14.337

14.856

15.340

15.858

16.344

16.861

17.347

17.863

18.350

18.865

19.352

19.867

20.354

20.868

21.357

21.870

22.359

22.872

23.361

23.873

24.362

24.874

25.364 Table 2 (continued) Units in millimeters

Number of teeth

Measuring rods diameter

DRi

Emin and Emax Rod Distance MRi

4H 5H 6H 7H

Min max min max min max min max

1.25

1.32

25.765

26.255

26.766

27.257

27.767

28.258

28.768

29.259

29.768

30.260

30.597

31.088

31.597

32.089

32.598

33.090

33.599

34.091

34.600

35.092

35.600

36.093

36.601

37.093

37.601

38.094

38.602

39.095

39.602

40.096

40.603

41.096

41.603

42.097

42.604

43.097

43.604

44.098

44.605

45.099

45.605

46.099

46.605

47.100

47.606

25.781

26.271

26.781

27.272

27.782

28.273

28.783

29.274

29.784

30.275

30.612

31.103

31.613

32.104

32.613

33.105

33.614

34.106

34.615

35.107

35.615

36.108

36.616

37.109

37.616

38.109

38.617

39.110

39.617

40.111

40.618

41.111

41.618

42.112

42.619

43.112

43.619

44.113

44.620

45.114

45.620

46.114

46.620

47.115

47.621

25.773

26.263

26.774

27.264

27.774

28.265

28.775

29.266

29.776

30.267

30.604

31.096

31.605

32.097

32.606

33.098

33.607

34.099

34.607

35.100

35.608

36.101

36.609

37.101

37.609

38.102

38.610

39.103

39.610

40.104

40.611

41.104

41.612

42.105

42.612

43.106

43.613

44.106

44.613

45.107

45.614

46.108

46.614

47.108

47.614

25.800

26.290

26.801

27.291

27.801

28.292

28.802

29.293

29.803

30.294

30.631

31.123

31.632

32.124

32.633

33.125

33.634

34.126

34.634

35.127

35.635

36.128

36.636

37.128

37.636

38.129

38.637

39.130

39.638

40.131

40.638

41.131

41.639

42.132

42.639

43.133

43.640

44.133

44.640

45.134

45.641

46.135

46.641

47.135

47.641

25.783

26.273

26.784

27.274

27.785

28.276

28.786

29.277

29.787

30.278

30.615

31.107

31.616

32.108

32.617

33.109

33.618

34.110

34.618

35.111

35.619

36.112

36.620

37.113

37.621

38.114

38.621

39.114

39.622

40.115

40.623

41.116

41.623

42.117

42.624

43.117

43.624

44.118

44.625

45.119

45.625

46.119

46.626

47.120

47.626

25.828

26.318

26.829

27.320

27.830

28.321

28.831

29.322

29.832

30.323

30.661

31.152

31.662

32.153

32.662

33.154

33.663

34.156

34.664

35.157

35.665

36.157

36.666

37.158

37.666

38.159

38.667

39.160

39.668

40.161

40.668

41.162

41.669

42.163

42.670

43.163

43.670

44.164

44.671

45.165

45.671

46.165

46.672

47.166

47.672

25.799

26.290

26.801

27.291

27.802

28.292

28.803

29.294

29.804

30.295

30.632

31.124

31.633

......
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GB/T 17855-2017|GB/T 10614-2008|GB/T 1568-2008|GB/T 15758-2008|GB/T 18842-2008|GB/T 3478.3-2008

Editions of GB/T 3478.8

Edition	Title	Revision	Status
GB/T 3478.8-2008	Straight cylindrical involute splines - Metric module, side fit - Part 8: 45°pressure angle M and W values	current edition	Current
GB/T 3478.8-1995	Straight cylindrical involute splines - Metric module, side fit - Part 8: 45°pressure angle M and W values	previous edition	Superseded

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