Matrix Method for Buckling Analysis of Partially Composite Layered Columns Based on Hencky Bar-Chain Model

Abstract

The buckling behavior of partially composite layered columns (PCLCs) under axial compressive load is significantly influenced by the slip at the interface of load carrying layers, which brings complexity to the analysis. In this paper, a matrix method based on the Hencky bar-chain model (HBM) is developed for the buckling analysis of PCLCs. The conventional assumption of HBM is modified to consider the interfacial slip properly. Three illustrative problems are presented to show the solving procedure of the HBM-based matrix method. The results are compared to those obtained through analytical formula or finite element method (FEM), and the applicability of the developed method in the buckling analysis of PCLCs with various sectional compositions and boundary conditions is validated. It is proved that the buckling load can be predicted accurately by the developed method. The method is easy to handle, highly adaptable and widely applicable, thus is a promising tool for the buckling analysis of PCLCs.