9 Contact Stresses
9 Contact Stresses
9 Contact Stresses
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TABLE 9-4 EQUATIONS FOR THE<br />
PARAMETERS OF TABLE 9-3<br />
A<br />
B<br />
E(e) =<br />
K (e) =<br />
Definitionsa π/2<br />
0 π<br />
0<br />
<br />
1 − e 2 sin 2 φ dφ<br />
dφ<br />
√ 1−e 2 sin 2 φ<br />
e = 1 − (b/a) 2 k = b/a<br />
K (e)−E(e)<br />
=<br />
(1/k 2 )E(e)−K (e)<br />
na = 1 k<br />
nc = 1<br />
E(e)<br />
1/3 2kE(e)<br />
π<br />
π 2 kE(e)<br />
4<br />
Equations<br />
1/3<br />
nb =<br />
nd =<br />
1/3 2kE(e)<br />
π<br />
K (e)<br />
[E(e)] 1/3<br />
2/3 2k<br />
π<br />
a Elliptic integrals E(e) and K (e) are tabulated and readily available<br />
in mathematical handbooks. Quantities a and b are semimajor and<br />
semiminor axes of the contact ellipse, respectively.<br />
448 TABLE 9-4 Equations for the Parameters of Table 9-3
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