This paper deals with the stress concentration analyses for fillets in a semi-infinite plate, in a stepped flat bar and in a flat test specimen under tension. The stress field induced by a point force in a semi-infinite plate is used as a fundamental solution to solve those problems. The stress concentration factors are systematically calculated under various geometrical conditions. Through the comparison of the present results with the previous research works, it is found that the Peterson's stress concentration chart based on photoelastic tests gives underestimated stress concentration factors by about 10 %. The stress concentration factors of a stepped fiat bar with fillets are found to be almost determined by the results of shoulder fillets in a semi-infinite plate.