Abstract
The nature of end effects for prismatic beams with thin-walled, open cross sections is analyzed by the variational-asymptotic method. This way, the decay rates for disturbances at the ends of prismatic beams are correctly evaluated. Thus, the foundations of Vlasov's theory, as well as restrictions on its applicability, are obtained from the variational-asymptotic point of view. Vlasov's theory is proved to be asymptotically correct for beams with thin-walled open cross-sections, such as I-beams. Finally, a generalization of Vlasov's theory for thin-walled anisotropic beams is provided.
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