The column buckling problem was first investigated by Leonhard Euler in 1757. Since then,
numerous efforts have been made to enhance the buckling capacity of slender columns …

In the present study elastic buckling of steel columns with three different cross sections, ie
square, rectangle and circle cross sections, and two different boundary conditions, ie fixed …

The exact solutions for stability analysis of bars with varying cross sections subjected to
simple or complicated loads, including concentrated and variably distributed axial loads are …

In this paper, the governing differential equation for buckling of a multi-step non-uniform
beam under several concentrated axial forces is established. The special solutions of …

The exact solutions for the stability analysis of a one-step bar of varying cross-section
subjected to concentrated and distributed axial loads are found first. Then the exact solution …

The stability analysis of a vertically standing or hanging composite column under end force
and distributed axial load is made. The composite column has varying cross-section and …

The post-buckling solutions of non-uniform linearly and non-linearly elastic rods are
constructed via a higher-order perturbation approach. For rods with continuously varying …

In this paper, the Homotopy Perturbation Method (HPM), is introduced for elastic stability
analysis of tilt‐buckled columns with variable flexural stiffness. Buckling loads and …

An analytical procedure for the elastic buckling of a multi-step nonuniform column subjected
to concentrated axial compressive forces is presented in this paper. The governing …

A simplified and easy to implement approach for the solution of the static and dynamic
stability of a Timoshenko column with multiple partitions is derived in a classic and …