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

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Presentation transcript:

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

Stress in Helical spring

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

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:

368 Casrtigliano’s theory:

369

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

371

372 For squared and ground end α=0.5 D

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374

375

376

377

378

379

380

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.

382 From eq. 7-3 and Let

383 Design strategy

384 Design strategy

385

386

387

388

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

390

391

392

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394

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

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

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

398

399

400

401

402

403

404

405

406

407

408

409

410

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

412

413 Free length Prefer range of tension:

414

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416

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418

419

420

421

422

423

424

425

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

427

428 Describing the end location

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:

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

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

432 Static strength Fatigue strength Gewrber fatigue Safety factor

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436

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438

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

440