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9 Contact Stresses

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TABLE 9-5 CONTACT STRESSES BETWEEN TWO LONG CYLINDRICAL<br />

BODIES IN LINE CONTACT SLIDING AGAINST EACH OTHER a<br />

Notation<br />

2b = width of contact area, Eq. (9.18a)<br />

µ = friction coefficient<br />

= see Eq. (9.18b)<br />

q = distributed (line) load (F/L)<br />

Maximum Stress µ = 0 µ = 1 12 µ = 1 6 µ = 1 3<br />

Maximum tensile principal<br />

stress, occurs near the<br />

surface at x =−b<br />

Maximum compressive<br />

principal stress, occurs<br />

near the surface between<br />

x = 0andx = 0.3b<br />

Maximum shear stress<br />

(occurs at the surface<br />

for µ ≥ 1 10 )<br />

Maximum octahedral<br />

shear stress (occurs at the<br />

surface for µ ≥ 1 10 )<br />

a Adapted from [9.9], with permission.<br />

0<br />

2<br />

12 b <br />

2 6 b <br />

2 3 b <br />

− b −1.09 b −1.19 b −1.40 b <br />

0.300 b 0.308 b 0.339 b 0.435 b <br />

0.272 b 0.265 b 0.277 b 0.368 b <br />

TABLE 9-5 <strong>Contact</strong> <strong>Stresses</strong> between Two Long Cylindrical Bodies 449

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