圆柱螺旋压缩弹簧计算表

材料

直径

d/mm

弹簧

中径

D/mm

许用

应力

τ_p/MPa

工作极

限载荷

P_j/N

工作极限载

荷下的单圈

变形量f_j/mm

单圈刚度

P'_d/N·mm^-1

最大心

轴直径

D_Xmax/mm

最小套

筒直径

D_Tmin/mm

初拉力P₀

(用于拉伸弹簧)

/N

0.5

3

1100

14.36

0.627

22.9

1.9

4.1

1.64

3.5

12.72

0.883

14.4

2.4

4.6

1.2

4

11.39

1.181

9.64

2.9

5.1

0.92

4.5

10.32

1.524

6.77

3.4

5.6

—

5

9.43

1.912

4.93

3.9

6.1

0.589

6

8.04

2.812

2.86

4.5

7.5

0.409

7

7.00

3.888

1.80

5.5

8.5

—

0.6

3

1055

22.75

0.480

47.4

1.8

4.2

3.39

3.5

20.28

0.680

29.8

2.3

4.7

2.49

4

18.26

0.913

20.0

2.8

5.2

1.91

4.5

16.62

1.183

14.0

3.3

5.7

—

5

15.22

1.486

10.2

3.8

6.2

1.22

6

13.03

2.197

5.93

4.4

7.6

0.843

7

11.38

3.051

3.73

5.4

8.6

0.622

8

10.11

4.042

2.50

6.4

9.6

—

［0.7］

3.5

1030

30.23

0.547

55.3

2.2

4.8

—

4

27.37

0.739

37.0

2.7

5.3

4.5

24.98

0.960

26.0

3.2

5.8

5

22.97

1.211

19.0

3.7

6.3

6

19.74

1.799

11.0

4.3

7.7

7

17.31

2.504

6.91

5.3

8.7

8

15.40

3.325

4.63

6.3

9.7

9

13.88

4.266

3.25

7.3

10.7

0.8

4

1005

38.54

0.609

63.2

2.6

5.4

6.03

4.5

35.30

0.796

44.4

3.1

5.9

—

5

32.55

1.006

32.4

3.6

6.4

3.87

6

28.14

1.502

18.7

4.2

7.8

2.68

7

24.74

2.098

11.8

5.2

8.8

1.97

8

22.06

2.792

7.90

6.2

9.8

1.51

9

19.90

3.588

5.55

7.2

10.8

1.19

10

18.14

4.485

4.04

8.2

11.8

—

［0.9］

4

1005

53.05

0.524

101

2.5

5.5

—

4.5

48.77

0.686

71.1

3

6

5

45.13

0.871

51.8

3.5

6.5

6

39.14

1.305

30.0

4.1

7.9

7

34.54

1.829

18.9

5.1

8.9

8

30.89

2.442

12.7

6.1

9.9

9

27.92

3.141

8.89

7.1

10.9

10

25.46

3.930

6.48

8.1

11.9

1.0

4.5

980

63.30

0.584

108

2.9

6.1

—

5

58.73

0.743

79.0

3.4

6.6

9.42

6

51.19

1.120

45.7

4

8

6.54

7

45.33

1.575

28.8

5

9

4.81

8

40.63

2.106

19.3

6

10

3.68

9

36.80

2.717

13.5

7

11

2.91

10

33.62

3.403

9.88

8

12

2.36

12

28.66

5.019

5.71

9

15

1.64

14

24.95

6.931

3.60

11

17

—

1.2

6

955

82.38

0.869

94.8

3.8

8.2

13.57

7

73.42

1.230

59.7

4.8

9.2

9.97

8

66.13

1.653

40.0

5.8

10.2

7.63

9

60.16

2.141

28.1

6.8

11.2

6.03

10

55.10

2.691

20.5

7.8

12.2

4.89

12

47.16

3.980

11.9

8.8

15.2

3.39

14

41.22

5.524

7.46

10.8

17.2

2.49

16

36.59

7.319

5.00

12.8

19.2

—

［1.4］

7

930

109.23

0.987

111

4.6

9.4

—

8

98.90

1.335

74.1

5.6

10.4

9

90.19

1.734

52.0

6.6

11.4

10

82.94

2.187

37.9

7.6

12.4

12

71.32

2.634

22.0

8.6

15.4

14

62.52

4.522

13.8

10.6

17.4

16

55.62

6.006

9.26

12.6

19.4

18

50.11

7.704

6.50

14.6

21.4

20

45.55

9.609

4.74

15.6

24.4

1.6

8

905

138.82

1.098

126

5.4

10.6

24.1

9

127.12

1.432

88.8

6.4

11.6

19.1

10

117.32

1.812

64.7

7.4

12.6

15.4

12

101.33

2.706

37.5

8.4

15.6

10.7

14

89.12

3.778

23.6

10.4

17.6

7.87

16

79.46

5.029

15.8

12.4

19.6

6.03

18

71.69

6.461

11.1

14.4

21.6

4.77

20

65.33

8.076

8.09

15.4

23.6

—

22

59.94

9.864

6.08

17.4

26.6

—

［1.8］

9

680

170.78

1.201

142

6.2

11.8

—

10

157.80

1.522

104

7.2

12.8

12

137.06

2.286

60.0

8.2

15.8

14

120.92

3.203

37.8

10.2

17.8

16

108.34

4.279

25.3

12.2

19.8

18

97.82

5.501

17.8

14.2

21.8

20

89.20

6.882

13.0

15.2

24.8

22

82.01

8.424

9.74

17.2

26.8

25

73.16

11.03

6.63

20.2

29.8

2.0

10

855

204.88

1.297

158

7

13

37.7

12

178.61

1.954

91.4

8

16

26.2

14

158.20

1.923

57.6

10

18

19.2

16

141.80

3.676

38.6

12

20

14.7

18

128.40

4.740

27.1

14

22

11.6

20

117.29

5.939

19.8

15

25

9.42

22

107.96

7.275

14.9

17

27

7.79

25

96.41

9.542

10.1

20

30

—

28

87.05

12.10

7.20

23

33

—

2.5

12

830

320.30

1.435

223

7.5

16.5

63.9

14

285.78

2.033

141

9.5

18.5

47

16

257.73

2.733

94.2

11.5

20.5

36

18

234.58

3.547

66.1

13.5

22.5

28.4

20

215.03

4.460

48.2

14.5

25.5

23

22

198.54

5.480

36.2

16.5

27.5

19

25

177.90

7.206

24.7

19.5

30.5

14.7

28

161.26

9.175

17.6

22.5

33.5

—

30

151.74

10.62

14.3

24.5

35.5

—

32

143.16

12.16

11.8

25.5

38.5

—

3.0

14

785

444.99

1.527

291

9

19

97.4

16

403.88

2.068

195

11

21

74.6

18

369.03

2.690

137

13

23

58.9

20

339.76

3.398

100

14

26

47.7

22

314.73

4.190

75.1

16

28

39.4

25

283.08

5.531

51.2

19

31

30.5

28

264.50

7.258

36.4

22

34

24.3

30

242.27

8.179

29.6

24

36

—

32

229.16

9.392

24.4

25

39

—

35

211.75

11.35

18.7

28

42

—

38

196.77

13.50

14.6

31

45

—

3.5

16

785

614.66

1.699

362

10.5

21.5

—

18

564.41

2.221

254

12.5

23.5

109

20

521.63

2.816

185

13.5

26.5

88.5

22

484.52

3.481

139

15.5

28.5

73.1

25

437.67

4.614

94.8

18.5

31.5

56.6

28

398.65

5.906

67.5

21.5

34.5

45.1

30

376.26

6.855

54.9

23.5

36.5

—

32

356.30

7.880

45.2

24.5

39.5

34.5

35

329.78

9.546

34.6

27.5

42.5

28.9

38

306.97

11.37

27.0

30.5

45.5

—

40

293.40

12.67

23.2

32.5

47.5

22.1

4

20

760

728.45

2.305

316

13

27

151

22

679.34

2.861

237

15

29

125

25

615.63

3.804

162

18

32

96.5

28

562.40

4.884

115

21

35

76.9

30

531.91

5.680

93.6

23

37

—

32

504.14

6.535

77.1

24

40

58.9

35

467.6

7.931

59.0

27

43

49.2

38

435.9

9.462

46.1

30

46

—

40

417.0

10.56

39.5

32

48

37.7

45

376.3

13.56

27.7

37

53

29.8

50

342.9

16.96

20.2

42

58

—

4.5

22

760

937.0

2.464

380

14.5

29.5

200

25

853.3

3.293

259

17.5

32.5

155

28

782.04

4.234

184

20.5

35.5

123

30

740

4.935

150

22.5

37.5

—

32

702.9

5.688

124

23.5

40.5

94.5

35

652.9

6.913

94.4

26.5

43.5

78.9

38

609.6

8.261

73.8

29.5

46.5

—

40

584.1

9.235

63.3

41.5

48.5

60.4

45

527.8

11.88

44.4

36.5

53.5

47.7

50

481.3

14.86

32.4

41.5

58.5

38.6

55

442.7

18.19

24.3

45.5

64.5

31.9

5

25

735

1100.6

2.787

395

17

33

236

28

1012.5

3.60

281

20

36

188

30

960

4.199

229

22

38

164

32

912.6

4.847

188

23

41

144

35

850

5.903

144

26

44

120

38

794.6

7.046

112

29

47

—

40

761.8

7.900

96.4

31

49

92

45

690

10.19

67.7

36

54

72.7

50

630.2

12.76

49.4

41

59

58.9

55

580

15.63

37.1

45

65

48.7

60

537.3

18.80

28.6

50

70

40.9

6

30

710

1530.9

3.230

471

21

39

339

32

1461.1

3.741

391

22

42

298

35

1364.8

4.572

298

25

45

249

38

1280.3

5.489

233

28

48

—

40

1209.6

6.047

200

30

50

191

45

1117.8

7.901

140

35

55

151

50

1023.8

10.00

102

40

60

122

55

944.78

12.28

76.9

44

66

101

60

876.9

14.79

59.3

49

71

84.8

65

817.7

17.55

46.6

54

76

72.3

70

766.1

20.53

37.3

59

81

62.3

8

32

685

3065.5

2.484

1234

20

44

—

35

2887

3.060

943

23

47

—

38

2726.9

3.700

737

26

50

—

40

2626.2

4.156

632

28

52

603

45

2408.3

5.425

444

33

57

477

50

2220

6.860

324

38

62

386

55

2057.5

8.463

243

42

68

319

60

1917.3

10.24

187

47

73

268

65

1794.2

12.18

147

52

78

228

70

1686.4

14.29

118

57

83

197

75

1589.6

16.58

95.9

62

88

—

80

1504

19.03

79.0

67

93

151

85

1422

21.60

65.9

71

99

—

90

1356

24.36

55.5

76

104

—

10

40

660

4615

2.991

1543

26

54

1470

45

4264

3.934

1084

31

59

1163

50

3954

5.005

790

36

64

942

55

3687

6.212

593

40

70

779

60

3448

7.541

457

45

75

654

65

3239

9.01

360

50

80

557

70

3053

10.60

288

55

85

481

75

2887

12.33

234

60

90

419

80

2736

14.19

193

65

95

368

85

2602

16.16

161

69

101

326

90

2479

18.30

135

74

106

291

95

2366

20.55

115

79

111

261

100

2264

22.93

98.8

84

116

236

12

50

635

6227

3.801

1638

34

66

1953

55

5833

4.740

1231

38

72

1614

60

5478

5.779

948

43

77

1356

65

5147

6.930

746

48

82

1156

70

4882

8.176

597

53

87

997

75

4629

9.541

485

58

92

868

80

4397

11.00

400

63

97

763

85

4189

12.56

333

67

103

676

90

4000

14.24

281

72

108

603

95

3825

16.01

239

77

113

541

100

3664

17.89

205

82

118

488

110

3383

21.99

154

92

128

404

120

3136

26.46

119

102

138

339

14

60

740

9693.7

5.590

1734

41

79

65

9162

6.718

1364

46

84

70

8689

7.96

1092

51

89

75

8261

9.31

888

56

94

80

7867

10.76

732

61

99

85

7511

12.31

610

65

105

90

7180

13.97

514

70

110

95

6880

15.75

437

75

115

100

6601

18.99

348

80

120

110

6102

21.68

281

90

130

120

5675

26.18

217

100

140

130

5302

31.10

170

109

151

16

65

740

13117

5.64

2327

44

86

70

12475

6.70

1863

49

91

75

11888

7.85

1515

54

96

80

11349

9.09

1248

59

101

85

10855

10.43

1040

63

107

90

10405

11.87

877

68

112

95

9983

13.39

745

73

117

100

9591

15.01

639

78

122

110

8481

18.52

480

88

132

120

8287

22.40

370

98

142

130

7753

26.66

291

107

153

140

7285

31.29

233

117

163

150

6870

36.28

189

127

173

18

75

740

16327

6.75

2426

52

98

80

15623

7.82

1999

57

103

85

14968

8.98

1667

61

109

90

14364

10.23

1404

66

114

95

13808

11.56

1194

71

119

100

13292

12.99

1024

76

124

110

12355

16.07

769

86

134

120

11529

19.46

592

96

144

130

10819

23.22

466

105

155

140

10172

27.27

373

115

165

150

9607

31.68

303

125

175

160

9100

36.42

250

134

186

170

8639

41.46

208

143

197

20

80

740

20698

6.79

3047

55

105

85

19891

7.83

2540

59

111

90

19120

8.93

2140

64

116

95

18413

10.12

1820

69

121

100

17733

11.37

1560

74

126

110

16537

14.11

1172

84

136

120

15461

17.13

903

94

146

130

14527

20.46

710

103

157

140

13690

24.08

569

113

167

150

12949

28.01

462

123

177

160

12271

32.22

381

132

188

170

11658

36.72

318

141

199

180

11114

41.55

267

151

209

190

10612

46.66

227

160

220

25

100

740

32340

8.49

3809

69

131

110

30351

10.61

2861

79

141

120

28557

12.96

2204

89

151

130

26930

15.54

1734

98

162

140

25478

18.36

1388

108

172

150

24159

21.40

1128

118

182

160

22979

24.71

930

127

193

170

21893

28.24

775

136

204

180

20916

32.03

653

146

214

190

19998

36.01

555

155

225

200

19175

40.28

476

165

235

220

17700

49.49

358

184

256

30

120

740

46570

10.10

4570