Sphere on a sphere

Sphere on a sphere P P D 2 D 1 2a
Sphere on a sphere

Values for calculation

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


Material coefficient


Dimensional coefficient

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

Radius of circular contact area

$$a=0.721\cdot\sqrt[3]{P\cdot K_D\cdot C_E}$$

Contact stress

$$σ_c=0.918\cdot\sqrt[3]{\cfrac{P}{K_D^2\cdot C_E^2}}$$

Relative motion of approach along the axis of loading of two points, one in each of the two contact bodies, remote from the contact zone

$$y=1.040\cdot\sqrt[3]{\cfrac{P^2\cdot C_E^2}{K_D}}$$