Abstract

In Vlasov's approach to the problem of stability of thin-walled elastic beams of open cross section simultaneously subjected to transverse bending and to centric compression or tension, a certain inconsistency in derivation of differential equations of stability has been noticed. A consistently carried through derivation leads to equations that differ from Vlasov's ones. The comparison of Vlasov's equations with the results achieved by the classics in the field and by the more recent authors reveals good correspondence. The equations obtained by a consistent derivation, instead, turn out to be correspondent with the equations obtained by the classics Timoshenko and Bleich and with Ojalvo's equations of a second-order theory which determines the orientation of normal planes with the line of shear centers and assumes the validity of the Wagner hypothesis.

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