On the Bending Stress and the Contact Pressure of a Wire Rope on a Cast Iron Roller

Abstract

The bending stress of wire rope and the contact pressure between the wire rope and the cast iron roller have an important effect upon the durability of the wire rope. There have, however, been few studies made on the contact pressure beyond a series of studies by Th. Wyss.
Furthermore, Th. Wyss' studies seem to have some doubtful points, so the authors developed some experimental investigation on the contact pressure of a wire rope in order to solve these problems and tried to make the matter clear theoretically by attempting to extend Hertz's stress theory into the plastic region.
We have obtained some satisfactory results on the contact pressure, and succeeded in inducling a practical formula for calculating the bending stress based on the experiment;
1) The maximum bending stress of a wire rope on the cast iron roller can be estimated by the fomula
σ_b=(1∼1.2)E_bQ_d/4√EIS
2) The contact pressure between the wire rope and the cast iron roller can be calculated by using P/d_r²-Aμνd_r² curve, and the maximum value of the contact pressure can properly be taken as 180kg/mm².