公法线长度(跨距)W*(m＝mn＝1、α＝αn＝20°)

假想

齿数

z'

跨测

齿数

k

公法线

长度

W*

假想

齿数

z'

跨测

齿数

k

公法线

长度

W*

假想

齿数

z'

跨测

齿数

k

公法线

长度

W*

假想

齿数

z'

跨测

齿数

k

公法线

长度

W*

8

2

4.5402

66

9

26.0175

111

14

41.4084

156

19

56.7993

9

2

4.5542

 

10

28.9696

 

15

44.3605

 

20

59.7514

10

2

4.5683

 

11

31.9217

 

16

47.3127

 

21

62.7036

11

2

4.5823

67

6

17.1751

112

11

32.5660

157

16

47.9569

12

2

4.5963

 

7

20.1272

 

12

35.5181

 

17

50.9090

13

2

4.6103

 

8

23.0794

 

13

38.4703

 

18

53.8612

 

3

7.5624

 

9

26.0315

 

14

41.4224

 

19

56.8133

14

2

4.6243

 

10

28.9836

 

15

44.3745

 

20

59.7654

 

3

7.5764

 

11

31.9358

 

16

47.3267

 

21

62.7176

15

2

4.6383

68

6

17.1891

113

11

32.5800

158

16

47.9709

 

3

7.5904

 

7

20.1412

 

12

35.5321

 

17

50.9230

16

2

4.6523

 

8

23.0934

 

13

38.4843

 

18

53.8752

 

3

7.6044

 

9

26.0455

 

14

41.4364

 

19

56.8273

17

2

4.6663

 

10

28.9976

 

15

44.3885

 

20

59.7794

 

3

7.6184

 

11

31.9498

 

16

47.3407

 

21

62.7316

 

4

10.5706

69

6

17.2031

114

11

32.5940

159

16

47.9849

18

2

4.6803

 

7

20.1552

 

12

35.5461

 

17

50.9370

 

3

7.6324

 

8

23.1074

 

13

38.4983

 

18

53.8892

 

4

10.5846

 

9

26.0595

 

14

41.4504

 

19

56.8413

19

2

4.6943

 

10

29.0116

 

15

44.4025

 

20

59.7934

 

3

7.6464

 

11

31.9638

 

16

47.3547

 

21

62.7456

 

4

10.5986

70

6

17.2171

115

11

32.6080

160

16

47.9989

20

2

4.7083

 

7

20.1692

 

12

35.5601

 

17

50.9511

 

3

7.6604

 

8

23.1214

 

13

38.5123

 

18

53.9032

 

4

10.6126

 

9

26.0735

 

14

41.4644

 

19

56.8553

21

2

4.7223

 

10

29.0256

 

15

44.4165

 

20

59.8074

 

3

7.6744

 

11

31.9778

 

16

47.3687

 

21

62.7596

 

4

10.6266

71

6

17.2311

116

11

32.6220

161

17

50.9651

22

2

4.7364

 

7

20.1832

 

12

35.5742

 

18

53.9172

 

3

7.6885

 

8

23.1354

 

13

38.5263

 

19

56.8693

 

4

10.6406

 

9

26.0875

 

14

41.4784

 

20

59.8215

23

2

4.7504

 

10

29.0396

 

15

44.4305

 

21

62.7736

 

3

7.7025

 

11

31.9918

 

16

47.3827

 

22

65.7257

 

4

10.6546

72

6

17.2451

117

12

35.5882

162

17

50.9791

 

5

13.6067

 

7

20.1973

 

13

38.5403

 

18

53.9312

24

2

4.7644

 

8

23.1494

 

14

41.4924

 

19

56.8833

 

3

7.7165

 

9

26.1015

 

15

44.4446

 

20

59.8355

 

4

10.6686

 

10

29.0536

 

16

47.3967

 

21

62.7876

 

5

13.6207

 

11

32.0058

 

17

50.3488

 

22

65.7397

25

2

4.7784

73

7

20.2113

118

12

35.6022

163

17

50.9931

 

3

7.7305

 

8

23.1634

 

13

38.5543

 

18

53.9452

 

4

10.6826

 

9

26.1155

 

14

41.5064

 

19

56.8973

 

5

13.6347

 

10

29.0677

 

15

44.4586

 

20

59.8495

26

2

4.7924

 

11

32.0198

 

16

47.4107

 

21

62.8016

 

3

7.7445

 

12

34.9719

 

17

50.3628

 

22

65.7537

 

4

10.6966

74

7

20.2253

119

12

35.6162

164

17

51.0071

 

5

13.6487

 

8

23.1774

 

13

38.5683

 

18

53.9592

27

2

4.8064

 

9

26.1295

 

14

41.5204

 

19

56.9113

 

3

7.7585

 

10

29.0817

 

15

44.4726

 

20

59.8635

 

4

10.7106

 

11

32.0338

 

16

47.4247

 

21

62.8156

 

5

13.6627

 

12

34.9859

 

17

50.3768

 

22

65.7677

28

2

4.8204

75

7

20.2393

120

12

35.6302

165

17

51.0211

 

3

7.7725

 

8

23.1914

 

13

38.5823

 

18

53.9732

 

4

10.7246

 

9

26.1435

 

14

41.5344

 

19

56.9253

 

5

13.6767

 

10

29.0957

 

15

44.4866

 

20

59.8775

29

2

4.8344

 

11

32.0478

 

16

47.4387

 

21

62.8296

 

3

7.7865

 

12

34.9999

 

17

50.3908

 

22

65.7817

 

4

10.7386

76

7

20.2533

121

12

35.6442

166

17

51.0351

 

5

13.6908

 

8

23.2054

 

13

38.5963

 

18

53.9872

30

2

4.8484

 

9

26.1575

 

14

41.5484

 

19

56.9394

 

3

7.8005

 

10

29.1097

 

15

44.5006

 

20

59.8915

 

4

10.7526

 

11

32.0618

 

16

47.4527

 

21

62.8436

 

5

13.7048

 

12

35.0139

 

17

50.4048

 

22

65.7957

 

6

16.6569

77

7

20.2673

122

12

35.6582

167

17

51.0491

31

2

4.8623

 

8

23.2194

 

13

38.6103

 

18

54.0012

 

3

7.8145

 

9

26.1715

 

14

41.5625

 

19

56.9534

 

4

10.7666

 

10

29.1237

 

15

44.5146

 

20

59.9055

 

5

13.7188

 

11

32.0758

 

16

47.4667

 

21

62.8576

 

6

16.6709

 

12

35.0279

 

17

50.4188

 

22

65.8098

32

2

4.8763

78

7

20.2813

123

12

35.6722

168

17

51.0631

 

3

7.8285

 

8

23.2334

 

13

38.6243

 

18

54.0152

 

4

10.7806

 

9

26.1855

 

14

41.5765

 

19

56.9674

 

5

13.7328

 

10

29.1377

 

15

44.5286

 

20

59.9195

 

6

16.6849

 

11

32.0898

 

16

47.4807

 

21

62.8716

33

2

4.8903

 

12

35.0419

 

17

50.4329

 

22

65.8238

 

3

7.8425

79

7

20.2953

124

12

35.6862

169

17

51.0771

 

4

10.7946

 

8

23.2474

 

13

38.6383

 

18

54.0292

 

5

13.7468

 

9

26.1996

 

14

41.5905

 

19

56.9814

 

6

16.6989

 

10

29.1517

 

15

44.5426

 

20

59.9335

34

2

4.9043

 

11

32.1038

 

16

47.4947

 

21

62.8856

 

3

7.8565

 

12

35.0559

 

17

50.4469

 

22

65.8378

 

4

10.8086

80

7

20.3093

125

13

38.6523

170

18

54.0432

 

5

13.7608

 

8

23.2614

 

14

41.6045

 

19

56.9954

 

6

16.7129

 

9

26.2136

 

15

44.5566

 

20

59.9475

35

2

4.9184

 

10

29.1657

 

16

47.5087

 

21

62.8996

 

3

7.8705

 

11

32.1178

 

17

50.4609

 

22

65.8518

 

4

10.8227

 

12

35.0700

 

18

53.4130

 

23

68.8039

 

5

13.7748

81

8

23.2754

126

13

38.6663

171

18

54.0572

 

6

16.7269

 

9

26.2276

 

14

41.6185

 

19

57.0094

36

2

4.9324

 

10

29.1797

 

15

44.5706

 

20

59.9615

 

3

7.8845

 

11

32.1318

 

16

47.5227

 

21

62.9136

 

4

10.8367

 

12

35.0840

 

17

50.4749

 

22

65.8658

 

5

13.7888

 

13

38.0361

 

18

53.4270

 

23

68.8179

 

6

16.7409

82

8

23.2894

127

13

38.6803

172

18

54.0713

 

7

19.6931

 

9

26.2416

 

14

41.6325

 

19

57.0234

37

2

4.9464

 

10

29.1937

 

15

44.5846

 

20

59.9755

 

3

7.8985

 

11

32.1458

 

16

47.5367

 

21

62.9276

 

4

10.8507

 

12

35.0980

 

17

50.4889

 

22

65.8798

 

5

13.8028

 

13

38.0501

 

18

53.4410

 

23

68.8319

 

6

16.7549

83

8

23.3034

128

13

38.6944

173

18

54.0853

 

7

19.7071

 

9

26.2556

 

14

41.6465

 

19

57.0374

38

2

4.9604

 

10

29.2077

 

15

44.5986

 

20

59.9895

 

3

7.9125

 

11

32.1598

 

16

47.5507

 

21

62.9417

 

4

10.8647

 

12

35.1120

 

17

50.5029

 

22

65.8938

 

5

13.8168

 

13

38.0641

 

18

53.4550

 

23

68.8459

 

6

16.7689

84

8

23.3175

129

13

38.7084

174

18

54.0993

 

7

19.7211

 

9

26.2696

 

14

41.6605

 

19

57.0514

39

2

4.9744

 

10

29.2217

 

15

44.6126

 

20

60.0035

 

3

7.9265

 

11

32.1738

 

16

47.5648

 

21

62.9557

 

4

10.8787

 

12

35.1260

 

17

50.5169

 

22

65.9078

 

5

13.8308

 

13

38.0781

 

18

53.4690

 

23

68.8599

 

6

16.7829

85

8

23.3315

130

13

38.7224

175

18

54.1133

 

7

19.7351

 

9

26.2836

 

14

41.6745

 

19

57.0654

40

2

4.9884

 

10

29.2357

 

15

44.6266

 

20

60.0175

 

3

7.9406

 

11

32.1879

 

16

47.5788

 

21

62.9697

 

4

10.8927

 

12

35.1400

 

17

50.5309

 

22

65.9218

 

5

13.8448

 

13

38.0921

 

18

53.4830

 

23

68.8739

 

6

16.7969

86

8

23.3455

131

13

38.7364

176

18

54.1273

 

7

19.7491

 

9

26.2976

 

14

41.6885

 

19

57.0794

41

3

7.9546

 

10

29.2497

 

15

44.6406

 

20

60.0315

 

4

10.9067

 

11

32.2019

 

16

47.5928

 

21

62.9837

 

5

13.8588

 

12

35.1540

 

17

50.5449

 

22

65.9358

 

6

16.8110

 

13

38.1061

 

18

53.4970

 

23

68.8879

 

7

19.7631

87

8

23.3595

132

13

38.7504

177

18

54.1413

 

8

22.7152

 

9

26.3116

 

14

41.7025

 

19

57.0934

42

3

7.9686

 

10

29.2637

 

15

44.6546

 

20

60.0455

 

4

10.9207

 

11

32.2159

 

16

47.6068

 

21

62.9977

 

5

13.8728

 

12

35.1680

 

17

50.5589

 

22

65.9498

 

6

16.8250

 

13

38.1201

 

18

53.5110

 

23

68.9019

 

7

19.7771

88

8

23.3735

133

13

38.7644

178

18

54.1553

43

3

7.9826

 

9

26.3256

 

14

41.7165

 

19

57.1074

 

4

10.9347

 

10

29.2777

 

15

44.6686

 

20

60.0595

 

5

13.8868

 

11

32.2299

 

16

47.6208

 

21

63.0117

 

6

16.8390

 

12

35.1820

 

17

50.5729

 

22

65.9638

 

7

19.7911

 

13

38.1341

 

18

53.5250

 

23

68.9159

 

8

22.7432

89

8

23.3875

134

14

41.7305

179

19

57.1214

44

3

7.9966

 

9

26.3396

 

15

44.6826

 

20

60.0736

 

4

10.9487

 

10

29.2917

 

16

47.6348

 

21

63.0257

 

5

13.9008

 

11

32.2439

 

17

50.5869

 

22

65.9778

 

6

16.8530

 

12

35.1960

 

18

53.5390

 

23

68.9299

 

7

19.8051

 

13

38.1481

 

19

56.4912

 

24

71.8821

 

8

22.7572

90

9

26.3536

135

14

41.7445

180

19

57.1354

45

3

8.0106

 

10

29.3057

 

15

44.6967

 

20

60.0876

 

4

10.9627

 

11

32.2579

 

16

47.6488

 

21

63.0397

 

5

13.9148

 

12

35.2100

 

17

50.6009

 

22

65.9918

 

6

16.8670

 

13

38.1621

 

18

53.5530

 

23

68.9440

 

7

19.8191

 

14

41.1143

 

19

56.5052

 

24

71.8961

 

8

22.7712

91

9

26.3676

136

14

41.7585

181

19

57.1494

46

3

8.0246

 

10

29.3198

 

15

44.7107

 

20

60.1016

 

4

10.9767

 

11

32.2719

 

16

47.6628

 

21

63.0537

 

5

13.9288

 

12

35.2240

 

17

50.6149

 

22

66.0058

 

6

16.8810

 

13

38.1761

 

18

53.5671

 

23

68.9580

 

7

19.8331

 

14

41.1283

 

19

56.5192

 

24

71.9101

 

8

22.7852

92

9

26.3816

137

14

41.7725

182

19

57.1634

47

3

8.0386

 

10

29.3338

 

15

44.7247

 

20

60.1156

 

4

10.9907

 

11

32.2859

 

16

47.6768

 

21

63.0677

 

5

13.9429

 

12

35.2380

 

17

50.6289

 

22

66.0198

 

6

16.8950

 

13

38.1902

 

18

53.5811

 

23

68.9720

 

7

19.8471

 

14

41.1423

 

19

56.5332

 

24

71.9241

 

8

22.7992

93

9

26.3956

138

14

41.7865

183

19

57.1774

48

4

11.0047

 

10

29.3478

 

15

44.7387

 

20

60.1296

 

5

13.9569

 

11

32.2999

 

16

47.6908

 

21

63.0817

 

6

16.9090

 

12

35.2520

 

17

50.6429

 

22

66.0338

 

7

19.8611

 

13

38.2042

 

18

53.5951

 

23

68.9860

 

8

22.8133

 

14

41.1563

 

19

56.5472

 

24

71.9381

49

4

11.0187

94

9

26.4096

139

14

41.8005

184

19

57.1915

 

5

13.9709

 

10

29.3618

 

15

44.7527

 

20

60.1436

 

6

16.9230

 

11

32.3139

 

16

47.7048

 

21

63.0957

 

7

19.8751

 

12

35.2660

 

17

50.6569

 

22

66.0478

 

8

22.8273

 

13

38.2182

 

18

53.6091

 

23

69.0000

 

9

25.7794

 

14

41.1703

 

19

56.5612

 

24

71.9521

50

4

11.0327

95

9

26.4236

140

14

41.8145

185

19

57.2055

 

5

13.9849

 

10

29.3758

 

15

44.7667

 

20

60.1576

 

6

16.9370

 

11

32.3279

 

16

47.7188

 

21

63.1097

 

7

19.8891

 

12

35.2800

 

17

50.6709

 

22

66.0619

 

8

22.8413

 

13

38.2322

 

18

53.6231

 

23

69.0140

 

9

25.7934

 

14

41.1843

 

19

56.5752

 

24

71.9661

51

4

11.0467

96

9

26.4376

141

14

41.8286

186

19

57.2195

 

5

13.9989

 

10

29.3898

 

15

44.7807

 

20

60.1716

 

6

16.9510

 

11

32.3419

 

16

47.7328

 

21

63.1237

 

7

19.9031

 

12

35.2940

 

17

50.6849

 

22

66.0759

 

8

22.8553

 

13

38.2462

 

18

53.6371

 

23

69.0280

 

9

25.8074

 

14

41.1983

 

19

56.5892

 

24

71.9801

52

4

11.0607

97

9

26.4517

142

14

41.8426

187

19

57.2335

 

5

14.0129

 

10

29.4038

 

15

44.7947

 

20

60.1856

 

6

16.9660

 

11

32.3559

 

16

47.7468

 

21

63.1377

 

7

19.9171

 

12

35.3080

 

17

50.6990

 

22

66.0899

 

8

22.8693

 

13

38.2602

 

18

53.6511

 

23

69.0420

 

9

25.8214

 

14

41.2123

 

19

56.6032

 

24

71.9941

53

4

11.0748

98

9

26.4657

143

15

44.8087

188

20

60.1996

 

5

14.0269

 

10

29.4178

 

16

47.7608

 

21

63.1517

 

6

16.9790

 

11

32.3699

 

17

50.7130

 

22

66.1039

 

7

19.9311

 

12

35.3221

 

18

53.6651

 

23

69.0560

 

8

22.8833

 

13

38.2742

 

19

56.6172

 

24

72.0081

 

9

25.8354

 

14

41.2263

 

20

59.5694

 

25

74.9603

54

4

11.0888

99

10

29.4318

144

15

44.8227

189

20

60.2186

 

5

14.0409

 

11

32.3839

 

16

47.7748

 

21

63.1657

 

6

16.9930

 

12

35.3361

 

17

50.7270

 

22

66.1179

 

7

19.9452

 

13

38.2882

 

18

53.6791

 

23

69.0700

 

8

22.8973

 

14

41.2403

 

19

56.6312

 

24

72.0221

 

9

25.8494

 

15

44.1925

 

20

59.5834

 

25

74.9743

55

4

11.1028

100

10

29.4458

145

15

44.8367

190

20

60.2276

 

5

14.0549

 

11

32.3979

 

16

47.7888

 

21

63.1797

 

6

17.0070

 

12

35.3501

 

17

50.7410

 

22

66.1319

 

7

19.9592

 

13

38.3022

 

18

53.6931

 

23

69.0840

 

8

22.9113

 

14

41.2543

 

19

56.6452

 

24

72.0361

 

9

25.8634

 

15

44.2065

 

20

59.5974

 

25

74.9883

56

5

14.0689

101

10

29.4598

146

15

44.8507

191

20

60.2416

 

6

17.0210

 

11

32.4119

 

16

47.8028

 

21

63.1938

 

7

19.9732

 

12

35.3641

 

17

50.7550

 

22

66.1459

 

8

22.9253

 

13

38.3162

 

18

53.7071

 

23

69.0980

 

9

25.8774

 

14

41.2683

 

19

56.6592

 

24

72.0501

 

10

28.8296

 

15

44.2205

 

20

59.6114

 

25

75.0023

57

5

14.0829

102

10

29.4738

147

15

44.8647

192

20

60.2556

 

6

17.0350

 

11

32.4259

 

16

47.8169

 

21

63.2078

 

7

19.9872

 

12

35.3781

 

17

50.7690

 

22

66.1599

 

8

22.9393

 

13

38.3302

 

18

53.7211

 

23

69.1120

 

9

25.8914

 

14

41.2823

 

19

56.6732

 

24

72.0642

 

10

28.8436

 

15

44.2345

 

20

59.6254

 

25

75.0163

58

5

14.0969

103

10

29.4878

148

15

44.8787

193

20

60.2696

 

6

17.0490

 

11

32.4400

 

16

47.8309

 

21

63.2218

 

7

20.0012

 

12

35.3921

 

17

50.7830

 

22

66.1739

 

8

22.9533

 

13

38.3442

 

18

53.7351

 

23

69.1260

 

9

25.9054

 

14

41.2963

 

19

56.6873

 

24

72.0782

 

10

28.8576

 

15

44.2485

 

20

59.6394

 

25

75.0303

59

5

14.1109

104

10

29.5018

149

15

44.8927

194

20

60.2836

 

6

17.0630

 

11

32.4540

 

16

47.8449

 

21

63.2358

 

7

20.0152

 

12

35.4061

 

17

50.7970

 

22

66.1879

 

8

22.9673

 

13

38.3582

 

18

53.7491

 

23

69.1400

 

9

25.9194

 

14

41.3104

 

19

56.7013

 

24

72.0922

 

10

28.8716

 

15

44.2625

 

20

59.6534

 

25

75.0443

60

5

14.1249

105

10

29.5158

150

15

44.9067

195

20

60.2976

 

6

17.0771

 

11

32.4680

 

16

47.8589

 

21

63.2498

 

7

20.0292

 

12

35.4201

 

17

50.8110

 

22

66.2019

 

8

22.9813

 

13

38.3722

 

18

53.7631

 

23

69.1540

 

9

25.9334

 

14

41.3244

 

19

56.7153

 

24

72.1062

 

10

28.8856

 

15

44.2765

 

20

59.6674

 

25

75.0583

61

5

14.1389

106

10

29.5298

151

15

44.9207

196

20

60.3116

 

6

17.0911

 

11

32.4820

 

16

47.8729

 

21

63.2638

 

7

20.0432

 

12

35.4341

 

17

50.8250

 

22

66.2159

 

8

22.9953

 

13

38.3862

 

18

53.7771

 

23

69.1680

 

9

25.9475

 

14

41.3384

 

19

56.7293

 

24

72.1202

 

10

28.8996

 

15

44.2905

 

20

59.6814

 

25

75.0723

62

5

14.1529

107

10

29.5438

152

16

47.8869

197

21

63.2778

 

6

17.1051

 

11

32.4960

 

17

50.8390

 

22

66.2299

 

7

20.0572

 

12

35.4481

 

18

53.7911

 

23

69.1820

 

8

23.0093

 

13

38.4002

 

19

56.7433

 

24

72.1342

 

9

25.9615

 

14

41.3524

 

20

59.6954

 

25

75.0863

 

10

28.9136

 

15

44.3045

 

21

62.6475

 

26

78.0384

63

5

14.1669

108

11

32.5100

153

16

47.9009

198

21

63.2918

 

6

17.1191

 

12

35.4621

 

17

50.8530

 

22

66.2439

 

7

20.0712

 

13

38.4142

 

18

53.8051

 

23

69.1961

 

8

23.0233

 

14

41.3664

 

19

56.7573

 

24

72.1482

 

9

25.9755

 

15

44.3185

 

20

59.7094

 

25

75.1003

 

10

28.9276

 

16

47.2706

 

21

62.6615

 

26

78.0524

64

6

17.1331

109

11

32.5240

154

16

47.9149

199

21

63.3058

 

7

20.0852

 

12

35.4761

 

17

50.8670

 

22

66.2579

 

8

23.0373

 

13

38.4282

 

18

53.8192

 

23

69.2101

 

9

25.9895

 

14

41.3804

 

19

56.7713

 

24

72.1622

 

10

28.9416

 

15

44.3325

 

20

59.7234

 

25

75.1143

 

11

31.8937

 

16

47.2846

 

21

62.6755

 

26

78.0665

65

6

17.1471

110

11

32.5380

155

16

47.9289

200

21

63.3198

 

7

20.0992

 

12

35.4901

 

17

50.8810

 

22

66.2719

 

8

23.0513

 

13

38.4423

 

18

53.8332

 

23

69.2241

 

9

26.0035

 

14

41.3944

 

19

56.7853

 

24

72.1762

 

10

28.9556

 

15

44.3465

 

20

59.7374

 

25

75.1283

 

11

31.9077

 

16

47.2986

 

21

62.6896

 

26

78.0805

66

6

17.1611

111

11

32.5520

156

16

47.9429

 

 

 

 

7

20.1132

 

12

35.5041

 

17

50.8950

 

 

 

 

8

23.0654

 

13

38.4563

 

18

53.8472

 

 

 

注：1.本表可用于外啮合和内啮合的直齿轮和斜齿轮，使用方法见表使用图表法查公法线长度(跨距)。

2.对直齿轮z' ＝z，对斜齿轮。

3.对内齿轮k为跨测齿槽数。

4.黑体字是标准齿轮(x＝xn＝0)的跨测齿数k和公法线长度W*。