Among various calculation methods for residual stresses, inherent strain method can be useful one for its simplicity. In comparison with finite element method, it is more economical and efficient. First, inherent strain is assumed, and then incompatibility can be calculated from this inherent strain. Based on collocation method, incompatibility equation is solved assuming stress functions which satisfies boundary conditions. Assumed inherent strain can be determined through iterations on the condition that longitudinal residual stress in centerline is yield stress and transverse distortion is the same as predicted one from other method. Calculated results according to this analytic method yield good agreement with experimental ones.