Contact Stress Roller Contact Flat Plane Formula and Calculator

Strength / Mechanics of Materials

Contact stresses on roller in contact with Flat plate.

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

E = Young's modulus (psi)
F = load ( lbsf)
w = line load calculated (lbsf/in)
r = radii (in)
L = Length (in)
v = Poisson's ratio
π = 3.14157

Roller on Flat Plate Contact Stress

Roller on flat surface, same materials: r2 = ∞, r1 = r

Contact Width Formula

w = [ ( 32 F ( 1-v2 ) r ) / ( π L E) ] (1/2)

Contact Stress:

σ = 4F / wL


Mechanical Engineers Data Hanbook, James Carvill 1993 Page 52

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