The analysis of stepped beams using finite difference method normally is carried by use of a single differential equation. Whenever the step is a node, numerical values of average geometric properties are taken for computation. It is expected that, with finer meshes, the solution will converge to an acceptable one. Free vibration studies carried out on a stepped beam do not confirm this expectation. The numerical values converge; but to wrong ones. Some details are presented in this paper.
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