The plane problem of a peg, shrink fitted into a cavity and subjected to an oscillating/fluctuating axial load, is studied. Firstly, the conditions ensuing complete adhesion, analogous to the elastic limit in plasticity, are found. For conditions where adhesion is not achieved everywhere in the first cycle, the stick-slip regime is tracked and the conditions under which frictional shakedown will occur are deduced. A frictional equivalent to the Melan principle is then applied to give identical results. The results summarized are of practical relevance to the design of shrink-fitted joints, and demonstrate the extension of plastic shakedown to frictional problems.
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