Transfer of the power and motion, shaft-pulley systems is combined different forms. One of them is press fit. In this study, under the inner pressure occurred at the press-fit condition pulley was investigated by the analytic and finite elements methods. In this investigation, the diameter at the shaft (d) and outer diameter (D) ratio was changed with respect to each other in order to investigate stress distribution change. In addition to d/D ratio, computing occurring of stress at the different tightness, the optimum tightness gap was investigated. The fournode isoparametric finite element is used as the solution method. Found result controlled with analytic solution.Now, from the space and automobile industry to food industry the widespread usage for the pulley that is made from metal matrix composite material (steel-aluminium) 0 and 90 degrees reinforcement condition and various tightness solution was made, the press fit condition at the composite was investigated
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