Two long cylinders of radii R1 = 10 mm and R2 = 13 mm, in frictionless contact with their axes parallel to each other, are pressed together with a force per unit length, F = 3,200 N/mm.
Determine the semi-contact length b and the approach distance d. Both materials are linear elastic with E1 = 30,000 N/mm2 and v1 = 0.25 for Cylinder 1 and E2 = 29,120 N/mm2 and v2 = 0.3 for Cylinder 2.
Assume a plane stress condition with a unit thickness and symmetry. Compare the results with the target results of d = 0.4181 mm and b = 1.20 mm.
