Compressive residual stress due to cold working decreases tendency of mechanical parts to initiate and growing fatigue crack and increases fatigue life. So determining residual stress is one of the important subjects in the last decades. There are two categories for measuring residual stress as destructive and nondestructive tests. In this paper distribution of residual stress around a hole which cold worked by expansion due to interface of a shaft into the hole and then removing it, is determined by measuring residual strains. There is a good agreement between residual strain measurements and residual stress in which is a good characteristic feature of residual stress. Fourier series for relating measured strains to residual strains in each position, Hook\'s law in elastic region and power law in plastic region have been used for derive the residual stresses. This analytical technique is nondestructive and simple compared to other methods.

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