In this paper the stress concentration problems of fillet in round and flat bars under tension and bending are considered. First, the body force method (BFM) is applied and the stress concentration factors (SCF_s) are systematically calculated with good accuracy. Second, SCF_s of fillet in a semi-infinite plate (K_tf) are presented in the form of formulae and charts on the basis of the results of the BFM. Third, using K_tf, expended Neuberu27s approximate formulae are proposed for fillet in a simple form which are useful for a wide range of geometries of fillet within l0% error. Next, as a result of comparison of these Neuber formulae and the results of BFM, correction factors are given in the form of formulae by applying the least squares method. Finally, it is found that the correction factors with the Neuber formulae give accurate SCF_s within 1% error for a wide range of geometrical conditions.
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