FORMULAS FOR CONTACT STRESS CALCULATIONS

The formulas and parameters used in Hertzian Contact Stress Calculator are given below. According to the input parameters and selection of contact type from the spherical and cylindrical contacts, suitable formulas are selected from the list of equations given below for the calculation of Hertzian contact stresses.

Calculation Steps and list of equations for Hertzian Contact:

 Step Parameter/Condition Symbol Equation 1 Calculation for spherical contact 1.1 Contact radius a 1.2 Maximum pressure pmax 1.3 Principal stress σx 1.4 Principal stress σy 1.5 Principal stress σz 1.6 Maximum shear stress τmax 2 Calculation for cylindrical contact 2.1 Contact half-width b 2.2 Maximum pressure pmax 2.3 Principal stress σx 2.4 Principal stress σy 2.5 Principal stress σz 2.6 Shear stress τxz 2.7 Shear stress τyz

List of Parameters :

 Symbol Parameter F Applied force ν1 Object-1 Poisson’s ratio E1 Object-1 elastic modulus v2 Object-2 Poisson’s ratio E2 Object-2 elastic modulus d1 Object-1 diameter d2 Object-2 diameter z Depth below the surface l Contact length of cylinders

Supplements:

 Link Usage Hertzian contact calculator Calculates contact parameters such as contact pressure, shear and Von Misses stresses for spherical and cylindrical contact cases.