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chapter 1 evolution of a successful design

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SPRINGS<br />

6.34 MACHINE ELEMENTS THAT ABSORB AND STORE ENERGY<br />

FIGURE 6.21 Location <strong>of</strong> maximum bending and<br />

torsional stresses in twist loops. (Associated Spring,<br />

Barnes Group Inc.)<br />

6.5.4 Extension Spring Dimensioning<br />

The dimensioning shown in Fig. 6.22 is generally accepted for extension springs.The<br />

free length is the distance between the inside surfaces <strong>of</strong> the loops. The body length<br />

is L B = d(N + 1). The loop opening, or gap, can be varied. The number <strong>of</strong> active coils<br />

is equal to the number <strong>of</strong> coils in the body <strong>of</strong> the spring. However, with special ends<br />

such as threaded plugs or swivel hooks, the number <strong>of</strong> active coils will be less than<br />

the number <strong>of</strong> body coils.<br />

6.5.5 Design Equations<br />

The <strong>design</strong> equations are similar to those for compression springs with the exception<br />

<strong>of</strong> initial tension and loop stresses. The rate is given by<br />

Gd<br />

k = = (6.24)<br />

where PI is initial tension. Stress is given by<br />

K<br />

S = <br />

w8PD<br />

(6.25)<br />

3 πd 4<br />

P − PI<br />

3 f 8D Na<br />

FIGURE 6.22 Typical extension-spring dimensions. (Associated Spring,<br />

Barnes Group Inc.)<br />

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Copyright © 2004 The McGraw-Hill Companies. All rights reserved.<br />

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