A simply supported shaft with a transverse crack is investigated for its vibrational characteristics. The local flexibility due to the presence of the crack is represented by a 6 × 6 matrix for six degrees of freedom in a short shaft element which includes the crack. A finite element analysis is carried out for free and forced vibrations. The possibilities of backward whirl due to the crack are presented. The severity of the fluctuating bending stresses in shafts due to the crack is associated with the backward whirl of the rotor. © 1994 Academic Press Limited.