In this work, stress concentration factors (SCFs) K
t of a flat bar with double circular-arc notches or double V-shaped notches are considered on the basis of exact solutions new available for special cases and accurate numerical results. First, for the limitting cases of deep and shallow notches, the body force method is used to calculate the SCFs;then the formulas are obtained as K
td and K
ts. On the one hand, upon comparison of K
t and K
td it is found that K
t is nearly equal to K
td if the notch is deep or blunt. On the other hand, if the notch is sharp or shallow, K
t is mainly controlled by K
ts and the notch depth. The notch shape is classified into several groups according to the notch radius and depth;then, the least squares method is applied for calculation of K
t/K
td and K
t/K
ts. Finally, a set of convenient formulas useful for any shape of notch in a flat test specimen are proposed. The formulas yield SCFs with less than 1% error for any shape of notch.
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