# The formula for calculating the diameter shrinkage of the spring after tempering

The formula for calculating the diameter shrinkage of the spring after tempering
The diameter shrinkage of the spring wound spring after tempering is △D=Kt×C×D×T,

Among them: Kt=3.188×10-6 C—wound ratio,

D—spring diameter, T—tempering temperature.

Scope of application:

a) Cold forming process

b) Unintentional rolling

c) Oil tempered alloy steel, such as domestic alloy steel wire such as 60Si2MnA, 55CrSi, 50CrV, SWOSC-V, SWOCV-V, SWOSC-B, SWOSM-B, OTEVA70, SWI-200 and other foreign alloy steel wires.

Through the above empirical formula, the number of tests can be reduced, the spring qualification rate can be improved, and the production cost can be reduced.

Acknowledgement: Associate Professor Xuehua Wang, School of Management, Dalian University of Technology

Remarks:

For springs made of carbon spring steel wire and piano wire wound without center, please refer to Section 2.4 of Chapter 3 of the Spring Design Manual (Machinery Industry Press). The spring diameter shrinkage after stress relief and tempering can be estimated according to the following empirical formula: △D=4.4×10-6×C×D×T.

references

1. Associate Professor Wang Xuehua, Chief Editor of “Applied Statistics”, School of Management, Dalian University of Technology.

2. “Spring Handbook”, edited by Zhang Yinghui, Liu Huihang and Wang Decheng, Machinery Industry Press.

3. SPSS 12 statistical software.

4. “Six Sigma Solution” edited by Zhang Chi, Guangdong Economic Publishing House.

Summary of data on related parameters of spring tempering shrinkage Table 1

V1 V2 V3 V4 V5 V6 V7 V8 V9

Serial number Specification (d) Material △D (shrinkage) C (wound ratio) D (medium diameter) T (temperature) C*D*T C*D*T/1000000

1 4.50 55CrSi 0.25 6.83 30.75 420 88209.45 0.08820945

2 4.00 55CrSi 0.26 8.385 33.54 420 118117.818 0.118117818

3 4.00 55CrSi 0.20 6.375 25.50 420 68276.25 0.06827625

4 3.10 55CrSi 0.16 7.997 24.79 420 83263.1646 0.08326316

5 4.00 55CrSi 0.20 6.35 25.40 420 67741.8 0.0677418

6 4.00 55CrSi 0.30 6.925 27.70 420 80565.45 0.08056545

7 3.10 SWOSC-V 0.15 6.452 20.00 420 54196.8 0.0541968

8 4.00 SWOSC-V 0.20 6.225 24.90 420 65101.05 0.06510105

9 3.20 SWOSC-V 0.10 6.594 21.10 420 58436.028 0.058436028

10 3.00 55CrSi 0.20 6.633 19.90 420 55438.614 0.055438614

11 4.00 55CrSi 0.20 6.425 25.70 420 69351.45 0.06935145

12 4.00 55CrSi 0.20 6.225 24.90 420 65101.05 0.06510105

13 3.10 55CrSi 0.25 6.726 0.85 420 58899.582 0.058899582

14 4.20 OTEVA70 0.10 5.76 24.20 420 58564.968 0.058564968

15 3.60 OTEVA70 0.10 7 25.20 420 74088 0.074088

16 4.75 55CrSi 0.20 6.06 28.80 420 73301.76 0.07330176

17 4.90 55CrSi 0.20 5.9 28.91 420 71638.98 0.07163898

18 4.50 55CrSi 0.20 7.89 35.50 420 117639.9 0.1176399

19 3.00 50CrV 0.11 8.00 24.00 360 69120 0.06912

20 3.20 55CrSi 0.20 6.063 19.40 420 49401.324 0.049401324

21 2.50 SWOCV-V 0.20 8.8 22.00 420 81312 0.081312

22 4.25 SWOCV-V 0.25 7.224 30.70 420 93146.256 0.093146256

23 11.8 55CrSi 1.1 10.042 118.5 420 499790.34 0.49979034

24 13 55CrSi 1.1 9.023 117.3 420 444527.118 0.444527118

25 10.5 55CrSi 1 8.762 92 420 338563.68 0.33856368

26 10.4 55CrSi 0.4 6.654 69.2 420 193391.856 0.193391856

27 12.7 55CrSi 2.3 10.866 138 420 629793.36 0.62979336

28 11.5 55CrSi 0.6 10.374 119.3 410 507423.462 0.507423462

29 10.5 55CrSi 1.5 9.476 99.5 420 396002.04 0.39600204

30 10.2 55CrSi 0.75 9.049 92.3 395 329912.9665 0.329912967

31 11 55CrSi 1.5 9 99 420 374 220 0.37422

32 10.7 55CrSi 1.5 9.28 99.3 420 387031.68 0.38703168

33 10 55CrSi 0.75 9.25 92.5 420 359362.5 0.3593625

34 9.5 SWOSC-B 0.5 10.526 100 395 415777 0.415777

35 13.6 SWOSC-B 1.55 7.985 108.6 420 364211.82 0.36421182

36 14 SWOSC-B 1 7.786 109 420 356443.08 0.35644308

37 10.5 SWOSC-B 1.2 8.762 92.5 400 324194 0.324194

38 14 SWOSC-B 2 11.143 156 420 730089.36 0.73008936

39 12.5 SWOSC-B 2 8.56 107 420 384686.4 0.3846864

40 12 55CrSi 1.5 11.375 136.5 420 652128.75 0.65212875

41 9.6 SWI-200 0.5 9.552 91.7 390 341608.176 0.341608176

42 10.5 55CrSi 2.1 9.524 100 420 400008 0.400008

43 10.2 55CrSi 2 10.275 104.8 400 430728 0.430728

44 11.5 55CrSi 1.75 8.065 92.75 410 306691.7875 0.306691788

45 12.67 55CrSi 1.5 8.471 107.33 420 381860.8206 0.381860821

46 10.5 55CrSi 1.5 9.524 100 400 380960 0.38096

47 10.5 55CrSi 1.9 9.524 100 420 400008 0.400008

48 11 60Si2MnA 1.25 7.295 80.25 420 245877.975 0.245877975

49 10 60Si2MnA 0.75 5.525 55.25 400 122102.5 0.1221025

50 11 60Si2MnA 1 7.273 80 420 244372.8 0.2443728

51 10.8 60Si2MnA 0.7 7.407 80 420 248875.2 0.2488752

52 12 60Si2MnA 0.5 5.25 63 400 132 300 0.1323

53 14 60Si2MnA 1 5 70 410 143500 0.1435

54 14 60Si2MnA 1 5.036 70.5 410 145565.58 0.14556558

55 10.5 60Si2MnA 0.8 6.638 69.7 400 185067.44 0.18506744

56 11 60Si2MnA 1.25 7.295 80.25 420 245877.975 0.245877975

57 11.5 60Si2MnA 0.5 9 103.5 420 391230 0.39123