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.

Where:
E = Young's modulus (psi) - Modulus of Elasticity
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 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

Reference:

Mechanical Engineers Data Hanbook, James Carvill 1993 Page 52

Related Resources:

• Modulus of Elasticity, Youngs Modulus Table and Calculator
• Modulus of Elasticity Young's Modulus Strength for Metals - Iron and Steel
• Contact Stress Two Sphere's Equation and Calculator
• Contact Stress Two Spheres in Contact Same Material
• Contact Stress Sphere in Contact Flat Surface Equation
• Contact Stress Two Rollers Equation and Calculator
• Contact Stress Sphere on Concave Surface
• Contact Stress Two Rollers Same Material Equation and Calculator
• Contact Stress Roller Contact Concave Surface Equation and Calculator