9 Contact Stresses

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TABLE 9-2 Formulas for Contact Stresses 439 TABLE 9-2 FORMULAS FOR CONTACT STRESSES, DIMENSIONS, AND CONTACT AREAS, AND RIGID-BODY APPROACHES a Notation γ = (1 − ν 2 1 )/E1 + (1 − ν 2 2 )/E2 a, b = semimajor axis and semiminor axis of contact ellipse, respectively d = rigid distance of approach of contacting bodies or surface deformation Ei = modulus of elasticity of object i, i = 1or2 F = force p = pressure q = distributed line load σc = maximum compressive stress of contact area, = (σc)max νi = Poisson’s ratio of object i, i = 1or2 τ = shear stress Case Formulas 1a. Sphere on sphere K = D1 D2 D1+D2 a = b = 0.721(FKγ) 1/3 σc = 0.918[F/(K 2 γ 2 )] 1/3 d = 1.040(F 2 γ 2 /K ) 1/3 Spheres
440 TABLE 9-2 Formulas for Contact Stresses TABLE 9-2 (continued) FORMULAS FOR CONTACT STRESSES, DIMENSIONS, AND CONTACT AREAS, AND RIGID-BODY APPROACHES a Case Formulas 1b. Sphere on flat plate 1c. Sphere in spherical socket a = b = 0.721(FKγ) 1/3 σc = 0.918[F/(K 2 γ 2 )] 1/3 d = 1.040(F 2 γ 2 /K ) 1/3 a = b = 0.721(FKγ) 1/3 σc = 0.918[F/(K 2 γ 2 )] 1/3 d = 1.040(F 2 γ 2 /K ) 1/3
Page 1 and 2: C H A P T E R 9 Contact Stresses 9.
Page 3 and 4: 9.2 HERTZIAN CONTACT STRESSES 415 F
Page 5 and 6: 9.2 HERTZIAN CONTACT STRESSES 417 T
Page 7 and 8: 9.2 HERTZIAN CONTACT STRESSES 419 V
Page 9 and 10: 9.2 HERTZIAN CONTACT STRESSES 421 s
Page 17 and 18: 9.2 HERTZIAN CONTACT STRESSES 429 5
Page 19 and 20: 9.2 HERTZIAN CONTACT STRESSES 431 c
Page 21 and 22: 9.6 NANOTECHNOLOGY: SCANNING PROBE
Page 23 and 24: REFERENCES 435 9.3. Belajev, N. M.,
Page 25: TABLE 9-1 SUMMARY OF GENERAL FORMUL
Page 29 and 30: 442 TABLE 9-2 Formulas for Contact
Page 31 and 32: 444 TABLE 9-2 Formulas for Contact
Page 33 and 34: TABLE 9-3 PARAMETERS FOR USE WITH F
Page 35 and 36: TABLE 9-4 EQUATIONS FOR THE PARAMET

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