Contact Stress Roller Concave Surface

Strength / Mechanics of Materials

Contact Stress Roller on Concave Surface Equation and Calculator

When a Roller is in contact with a flat, concave or convex surface, a line contact is obtained, giving a rectangular contact area of very small width. depending on the load and materials.

Where:
E = Young's modulus
F = load
r = radii
v = Poisson's ratio

Roller on concave surface, same materials : r₂ negative

Contact Width

Contact Stress:
σ = 4F / πwL

Reference:

Mechanical Engineers Data Hanbook, James Carvill 1993 Page 52

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