Contact Stress Two Spheres in Contact Same Material

Strength / Mechanics of Materials Table of Content

Contact stresses two sphere's in contact same material and different spherical radius.

When a sphere is in contact with anoterh sphere, a small radial contact area is formed, the size of the area depending on the load and materials.

Where:
E = Young’s modulus
F = load
r₁, r₂ =radii
v = Poisson’s ratio

Contact area radius

Contact Stress:

Reference:

Mechanical Engineers Data Handbook, James Carvill 1993 Page 51

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