Then other critical loads ofīuckling of heavy columns with end supports such as pinned–
The study of the buckling of a non-uniform column subjected to compressive force has attracted much attention of manyĮuler first solved the buckling problem of standing prismaticĬolumns under self-weight in terms of the power series method In buckling problems, predicting the critical load is of significance for structuralĭesign. When compressive load exceeds aĬritical value, elastic beams or columns deviate from an original stable equilibrium state and buckling takes place. These structural components carry compressive load. Very slender structural elements such as beams and columnsĬonstitute key parts of many structures. Load to weight reaches maximum for an axially graded inhomogeneous column made of two constituents Ones of the strongest columns the other is devoted to material tailoring such that the ratio of buckling One is devoted to the parameter optimization of given shape profile for a homogeneous heavy column subjected to gravity load and tip load simultaneously under constant weight or volume constraint, and obtained results are very close to the exact Load-carrying capacity of cantilevered non-uniform columns. As an application, two optimum design problems of freestanding tapered columns against buckling are considered to enhance the Load are discussed for clamped-free prismatic and non-prismatic columns. The effects of self-weight and taper ratio on the buckling A characteristic equation is derived and it is a polynomial equation. Critical buckling load canīe evaluated by seeking the lowest eigenvalue of the resulting integral equation. The integral equation method is formulated to deal with this problem. The composite column has varying cross-section and variable material properties. The stability analysis of a vertically standing or hanging composite column under end force and distributed axial load is made. School of Civil Engineering and Architecture, Central South University, Changsha 410075, Chinaĭepartment of Mathematics, Foshan University, Foshan, Guangdong 528000, China Journal homepage: Stability analysis of composite columns and parameter optimization Contents lists available at ScienceDirect