An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue life of the shaft in the presence of the residual compressive stress is
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$\text{life of the shaft in the presence of the residual compressive stress.The fatigue life of the material is effectively increased by the introduction of a compressive mean stress, whether applied or residual}$