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This paper describes the methodology and some computer-aided procedures for analyzing the contact of roller and a drawn cup bearing ring inside a housing of material of low tensile strength. The analysis can be used to predict the onset of plastic yielding in the housing. It also discusses the role of stresses arising from the press fit between the cup and the housing in preventing the relative slippage at the cup/housing interface and fretting corrosion. Illustrative examples are shown for a heavy duty drawn cup bearing with aluminum housing for a multitude of loads and cup thicknesses.