Alternative complementary shear and transversal elongation modes in Generalized Beam Theory (GBT) for thin‐walled circular cross‐sections

Abstract

This paper presents alternative complementary shear and transversal elongation modes of Generalized Beam Theory (GBT) for thin-walled hollow circular cross-sections. It also compares them to the recent developments concerning membrane’s shear and transversal elongation. The main features of the alternative complementary modes are: i) despite of Poisson’s effect, each complementary mode is related to a clear membrane’s behavior: transversal elongation and shear deformation; ii) The coupling between these complementary modes is minimized, as well as the coupling between theses modes and the respective traditional GBT’s mode; iii) there is no coupling related to transversal stain energy either for membrane’s behavior, neither for plate’s behavior. To illustrate the presented alternative, complementary modes and its limitations, a detailed example applied in a short and deep pipe is carried out and its final results are compared not only with a full shell element model, but also with the recent developments in GBT.