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106

Wire & Cable ASIA – September/October 2014

www.read-wca.com

Not only does theory ignore the elastic deflection of hooks,

it also ignores the plastic deformation that occurs before

the elastic limit of the body coils is reached.

If the elastic limit of body coils is defined at a loss of 0.1N,

then part of this loss is due to the plastic deformation of

the end hook.

Indeed the results show in

Table 1

that when 0.1N is lost,

the free length has increased by 0.015mm, which equates

to more than ten per cent of this load loss.

The actual load/deflection graph to the load at which there

is a 0.1N loss is shown as

Figure 4.

The stainless steel springs were processed in a similar

manner to the carbon steel except that they lost load at

much smaller deflections.

The results are shown in

Table 3

.

The spring rate increased slightly as the LTHT temperature

was increased despite the outside diameter increasing.

This is because the torsional modulus, G, increases with

the heat treatment temperature, as shown in the European

Standard for stainless steel spring wire, EN 10270‐3.

LTHT /

°C

Initial

Tension

N

% Rm

Load at

which 0.1N

loss

% Rm

Load at

which 0.2N

loss

% Rm Spring

Rate N/mm

Outside

Diameter

mm

9.15

14.2

17.6

27.3

19.6

30.4

0.810

6.13

150

6.77

10.5

24.3

37.7

26.5

41.1

0.840

6.10

200

6.16

9.5

26.8

41.5

28.8

44.6

0.850

6.06

250

5.12

7.9

26.6

41.2

28.6

44.3

0.850

6.03

300

3.72

5.8

25.0

38.7

27.2

42.1

0.856

6.03

350

2.16

3.3

24.0

37.2

26.0

40.3

0.881

6.03

Load / N @

Load/ N @ 30mm

Free Length /mm Loss of load /N @ 30mm

9.15@ 30mm

9.15

25.005

0

17.61@ 40mm

9.13

25.010

0.02

21.81@ 45mm

9.12

25.020

0.03

24.33@ 48mm

9.10

25.020

0.05

26.00@ 50mm

9.07

25.020

0.08

27.63@ 52mm

9.02

25.020

0.13

29.23@ 54mm

8.91

25.030

0.24

30.80@ 56mm

8.72

25.030

0.43

LTHT / °C

Initial

Tension

N

% Rm

Load at

which 0.1N

loss

% Rm

Load at

which 0.2N

loss

% Rm Spring Rate

N/mm

Outside

Diameter

mm

5.78

11.3

12.7

24.7

14.5

28.2

0.740

6.12

200

5.30

10.3

15.4

30.0

17.4

33.9

0.750

6.12

250

4.90

9.5

16.3

31.7

18.2

35.4

0.760

6.13

300

4.65

9.1

16.6

32.3

19.2

37.4

0.767

6.12

350

4.35

8.5

16.6

32.3

19.0

37.0

0.770

6.13

400

4.00

7.8

15.6

30.3

18.5

36.0

0.765

6.14

450

2.85

5.5

5.3

29.8

18.2

35.4

0.770

6.14

Table 3

:

Results for the 302 stainless steel springs

Table 2

:

Results for the carbon steel springs

Table 1

:

Example result for a carbon steel spring heat treated at 250°C

Figure 4

:

Load/Deflection characteristic of a carbon steel

extension spring heat treated at 250°C