Contact stresses in cylindrical contacts
Contact stresses in cylindrical contacts
(OP)
I am trying to analyze the contact stresses in two cases of cylundrical contact:
Case 1: two perpendicular cylinders with different radii
Case 2: cylinder in a cylindrical socket
See also the attached file for explanation.
I assume there are analytical solutions for the contacts stress for these tweo cases.
Does anyone know a reference/book in which these cases are treated. I usually find other cases like sphere-flat plate, two sphere, conical indenter-flat plate, cylindrical indenter - flat plate, etc. I have not been able to find solutions for these two particalar cases.
Thanks in advance!
Case 1: two perpendicular cylinders with different radii
Case 2: cylinder in a cylindrical socket
See also the attached file for explanation.
I assume there are analytical solutions for the contacts stress for these tweo cases.
Does anyone know a reference/book in which these cases are treated. I usually find other cases like sphere-flat plate, two sphere, conical indenter-flat plate, cylindrical indenter - flat plate, etc. I have not been able to find solutions for these two particalar cases.
Thanks in advance!





RE: Contact stresses in cylindrical contacts
A better resource for your particular problem would be Roark's Formulas for Stress and Strain. Roark's has simplified equations exactly describing the cases that you've drawn. (7th Edition, p 703)
Be mindful that your second case might be beyond the limits of Hertzian Contact; one of Hertz's primary assumptions is a small contact area relative to the significant dimensions of the contacting bodies. That being said, people use (abuse?) the formula in Roarks to calculate contact stresses in sleeve bearings all of the time. You could always do a quick plane strain FEA model to remove any doubt.
RE: Contact stresses in cylindrical contacts
thanks a lot. Tomorrow I will dig up Johnson's and Roark's book at the library and have a look at it.
As for the second case, a plane strain FEA will suffice to validate the formulae used.
RE: Contact stresses in cylindrical contacts