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Cylinder in a cylindrical socket

Contact stress (cylinder)-Model-pdf D 2 b D 1 P L
Cylinder in a cylindrical socket

Values for calculation

$ P $ $ \mathrm{N} $
$ D_1 $ $ \mathrm{mm} $
$ D_2 $ $ \mathrm{mm} $
$ L $ $ \mathrm{mm} $
$ ν_1 $
$ ν_2 $
$ E_1 $ $ \mathrm{MPa} $
$ E_2 $ $ \mathrm{MPa} $

Calculation

Load per unit length

$$p=P/L$$

Material coefficient

$$C_E=\cfrac{1-ν_1^2}{E_1}+\cfrac{1-ν_2^2}{E_2}$$

Dimensional coefficient

$$K_D=\cfrac{D_1\cdot D_2}{D_1-D_2}$$

Width of rectangular contact area

$$b=1.60\cdot\sqrt{p\cdot K_D\cdot C_E}$$

Contact stress

$$σ_c=0.798\cdot\sqrt{\cfrac{p}{K_D\cdot C_E}}$$