9 Contact Stresses

TABLE 9-2 Formulas for Contact Stresses 441
1d. Sphere on a cylinder a = 0.9088na(FKγ) 1/3
b = 0.9088nb(FKγ) 1/3
σc = 0.579nc[F/(K 2 γ 2 )] 1/3
d = 0.825nd(F 2 γ 2 /K ) 1/3
A = 1 D1
B = 1 D1 + 1 D2
1e. Sphere in circular race a = 1.145na(FKγ) 1/3
b = 1.145nb(FKγ) 1/3
σc = 0.365nc[F/(K 2 γ 2 )] 1/3
d = 0.655nd(F 2 γ 2 /K ) 1/3
K =
1
2
R −
1 1
R +
2 1
R3 1f. Sphere in cylindrical race a = 1.145na(FKγ) 1/3
b = 1.145nb(FKγ) 1/3
A = 1 2
σc = 0.365nc[F/(K 2 γ 2 )] 1/3
d = 0.655nd(F 2 γ 2 /K ) 1/3
K = R1 R2
2R2−R1
A = 1 2
K = D1 D2
2D2+D1
1R1 − 1 R2
1R1 − 1 R2
B = 1 2
B = 1
2R1
1R1 + 1 R3