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9 Contact Stresses

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TABLE 9-2 Formulas for <strong>Contact</strong> <strong>Stresses</strong> 443<br />

2d.<br />

Cylinders crossed at right angles<br />

3.<br />

Barrel in a circular race<br />

4a.<br />

Rigid knife edge on surface of<br />

semi-infinite plate line load q<br />

a = 0.909na(FKγ) 1/3<br />

b = 0.909nb(FKγ) 1/3<br />

σc = 0.579nc[F/(K 2 γ 2 )] 1/3<br />

d = 0.825nd(F 2 γ 2 /K ) 1/3<br />

K = D1 D2<br />

D1+D2<br />

A = 1 D2<br />

Barrels<br />

a = 1.145na(FKγ) 1/3<br />

b = 1.145nb(FKγ) 1/3<br />

σc = 0.365nc[F/(K 2 γ 2 )] 1/3<br />

d = 0.655nd(F 2 γ 2 /K ) 1/3<br />

1<br />

K = 1<br />

R +<br />

1 1 R +<br />

2 1 R −<br />

3 1<br />

R4 A = 1 1R2 2 − 1 <br />

R4<br />

Other <strong>Contact</strong> Areas<br />

σc = σr = 2q<br />

πr cos(α + θ)<br />

σθ = τrθ = 0<br />

B = 1 D1<br />

B = 1 1R1 2 + 1 <br />

R3

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