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Bernoulli and Timoshenko beam theories are the two common theories used in structural practices. The differences between two theories are generally minor but they can be significant for results associated with
slender members and within the relatively high frequency region.
It is investigated in this study, the difference of responses predicted by the two theories with various slenderness ratios and under different levels of axial forces, emphasizing the varying trends of the natural frequencies. It is concluded that frequencies by Bernoulli beam are irrelevant to the slenderness ratio while Timoshenko theory includes effect of such factor. Besides, frequencies by Timoshenko beam approach limiting values regardless the boundary conditions applied to the member. Applications of simple trends of dynamic characteristics or relations of certain quantities may potentially be useful to serve as a reference method
in evaluating member integrity.
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