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
r = radii (in)
L = Length (in)
v = Poisson's ratio
Roller on flat surface, same materials: r2 = ∞, r1 = r
Contact Width Formula
w = [ ( 32 F ( 1-v2 ) r ) / ( π L E) ]
σ = 4F / wL
Mechanical Engineers Data Hanbook, James Carvill 1993 Page 52