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An accurate set of solutions is presented for stress concentration factors in shoulder filleted shafts under bending, tension and torsion. Solutions were obtained from extensive elastic finite element analyses for both plain stepped shafts, and for shafts in bending with a variety of tapered shoulders. For plain stepped shafts, conventional stress concentration factor graphs are presented, along with a convenient equation to facilitate numerical analyses. Sets of constants are provided for the equation to compute either the maximum principal stress or the maximum von Mises equivalent stress in the fillet, under each loading mode. This defines the complete state of biaxial stress at the root of the fillet. Furthermore, another convenient equation is provided to accurately compute the location of the maximum stress in the fillet, which varies with geometry. This information can be invaluable for experimental analysis or failure analysis.