Kongres mladih matematičara u Novom Sadu 2022 application/pdf 93969 bytes 2022 On the Generalized Clausen Problem eng Abstract: We analyze the classical problem of nding the shape of the column that optimizes certain criteria. The new formulation proposed here may be stated as: given the critical buckling load F of the column and the length L, nd cross-sectional area A, such that the volume W of the column attains minimal value. This is a classical Clausen problem. However, in this work we shall use the generalized constitutive equations of the column that allows for shear deformation. We show that optimally shaped rod exhibits pitchfork super-critical bifurcation at critical buckling load. Kačapor, Enes info:eu-repo/semantics/conferenceProceedings https://phaidrabg.bg.ac.rs/o:32256 All rights reserved