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364 書名: Essentials of Mechanical Engineering Design, 1/E 作者: Shigey Mischke Budynas 書號: MX0398.

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Presentation on theme: "364 書名: Essentials of Mechanical Engineering Design, 1/E 作者: Shigey Mischke Budynas 書號: MX0398."— Presentation transcript:

1 364 書名: Essentials of Mechanical Engineering Design, 1/E 作者: Shigey Mischke Budynas 書號: MX0398

2 365 7-1 Stress in Helical spring

3 366 Spring index For most spring C is between 6 to 12 Shear stress correction factor

4 367 Wahl factor Bergstrasser factor (preferred) Both factor can be used to replace the shear stress correction factor K s However, in this book use:

5 368 Casrtigliano’s theory:

6 369

7 370 Forrys point out Square and ground end, the solid length is a=0.75 Set removal

8 371

9 372 For squared and ground end α=0.5 D

10 373

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18 381 Usually takes ξ>0.15 Recommended design conditions: When design a high volume production Fom (figure of merit) Is used to compare the cost of production.

19 382 From eq. 7-3 and Let

20 383 Design strategy

21 384 Design strategy

22 385

23 386

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25 388

26 389 The spring exert a force about 3 lbf and to fit the space defined in figure

27 390

28 391

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32 395 Natural frequency of spring place between two flat face Fundamental frequency For one end against a plate The weight of active part Fundamental critical frequency should be 15 to 20 times of the frequency of the external force

33 396 Unpeened: Peened For example, given a unpeened spring with ultimate shear strength 211.5 kpsi. By Gerber:

34 397 Torsional modulus of rupture is The mean force and amplitude The shear stress amplitude Mean stress:

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48 411 Stress at point A Stress correction factor for curvature: The torsional stress at B

49 412

50 413 Free length Prefer range of tension:

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63 426 In ex. 7-7 an estimate for the bending endurance limit from Table 7-8 would be

64 427

65 428 Describing the end location

66 429 Bending stress Bending stress can be obtained from curved beam Bending eq.: Deflection and spring rate, let The angle subtended by the end deflection of the cantilever:

67 430 For straight torsion end spring the strain energy in bending is Applying Castigliano’s theorem: The total angular deflection:

68 431 Torque/turn Considering the friction The helix diameter The angular deflection Diameter clearance

69 432 Static strength Fatigue strength Gewrber fatigue Safety factor

70 433

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76 439 For a uniform-section cantilever spring has thev stress Flat triangular spring Width at base b=b 0 x/l

77 440


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