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Sphere in a spherical socket
Values for calculation
Calculation
Material coefficient
$$C_E=\cfrac{1-ν_1^2}{E_1}+\cfrac{1-ν_2^2}{E_2}$$
$C_E=\cfrac{1-ν_1^2}{E_1}+\cfrac{1-ν_2^2}{E_2}$
Equations in LaTeX code
C_E=\cfrac{1-ν_1^2}{E_1}+\cfrac{1-ν_2^2}{E_2}
Dimensional coefficient
$$K_D=\cfrac{D_1\cdot D_2}{D_1-D_2}$$
$K_D=\cfrac{D_1\cdot D_2}{D_1-D_2}$
Equations in LaTeX code
K_D=\cfrac{D_1\cdot D_2}{D_1-D_2}
Radius of circular contact area
$$a=0.721\cdot\sqrt[3]{P\cdot K_D\cdot C_E}$$
$a=0.721\cdot\sqrt[3]{P\cdot K_D\cdot C_E}$
Equations in LaTeX code