The authors have developed an influence function method by which the stress intensity factor, K, for surface cracks can be analyzed easily for arbitrarily distributed surface stresses. The data of the influence coefficients. K_ij, have been obtained for a semielliptical or a quarter-elliptical surface crack in a flat plate and for a semielliptical surface crack in a round bar. In this paper, the authors have shown how these data can be applied to the analysis of K for a surface crack originating at the stress-concentrated portions such as notch roots, welding joints and circular holes. It has been found that the proposed estimation scheme gives approximate values of K at most 10% higher than the exact values.