9 Contact Stresses

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9 Tables 9-1 Summary of General Formulas for Contact Stresses 438 9-2 Formulas for Contact Stresses, Dimensions, and Contact Areas, and Rigid-Body Approaches 439 9-3 Parameters for Use with Formulas of Table 9-2 446 9-4 Equations for the Parameters of Table 9-3 448 9-5 Contact Stresses between Two Long Cylindrical Bodies in Line Contact Sliding against Each Other 449 437
TABLE 9-1 SUMMARY OF GENERAL FORMULAS FOR CONTACT STRESSES A = 1 1R1 4 + 1 R2 B = 1 4 Notation Ri, R ′ i = minimum and maximum radii of curvature of two contacting surfaces i = 1, 2 F = applied force θ = angle between planes containing principal radii of curvature 1 + R ′ + 1 1 R ′ 2 1R1 1 − R ′ 1R2 1 + − 1 R ′ 2 1R1 1 − 4 − 2 R ′ 1R2 1 − 1 R ′ sin 2 2 1/2 θ 1 + R ′ + 1 1 R ′ 2 1R1 1 − R ′ 1R2 1 + − 1 R ′ 2 1R1 1 − 4 − 2 R ′ 1R2 1 − 1 R ′ sin 2 2 1/2 θ − 1 4 1R1 + 1 R2 + 1 4 Compute B/A and obtain coefficients Cb, k, Cσ , Cτ , Coct, Cz, Cd from plots of Figs. 9-3 or 9-4. Then Semiminor axis: Semimajor axis: Maximum compressive stress: Maximum shear stress: γ = 1−ν2 1 E1 + 1−ν2 2 E2 = γ 1 A+B Formulas for Stresses and Deformation b = Cb(F) 1/3 a = b/k (σc)max =−Cσ (b/) τmax = Cτ (b/) Maximum octahedral shear stress: (τoct)max = Coct(b/) Distance from contact area to location of maximum shear stress: Zs = Czb Distance of approach of contacting bodies: d = Cd F π A+B b/ 438 TABLE 9-1 Summary of General Formulas for Contact Stresses
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: REFERENCES 435 9.3. Belajev, N. M.,
Page 27 and 28: 440 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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