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This paper presents an analytical study about the axial compression buckling of H-section columns with one side of the flanges exposed to fire. The fire-induced thermal gradient along the flanges is obtained by using simplified Fourier heat conduction equation. The pre-buckling stress and bowing effect due to the non-uniform temperature distribution through the cross-section is considered. The analysis is accomplished by using the Rayleigh–Ritz method. The analytical solution is validated by finite element analysis using ANSYS. Finally, the parametric study is performed for different sections including different values of length, thickness ratio and width-to-height ratio. [ABSTRACT FROM AUTHOR]

This paper presents an analytical approach to predict the critical load of global buckling with locally buckled channel-section columns under axial compressive loads. The effect of local deformation before global buckling is considered. The analysis is performed by using the Rayleigh–Ritz method. The analytical solution is validated by using the nonlinear finite element analysis method. Parametric study is also performed for different sections including different values of slenderness ratio, height-thickness ratio and width-height ratio. The comparison between the present approach and those taken from Chinese and American standards demonstrates that the present model provides a good approach for predicting the critical loads of steel columns involving local and global buckling interaction. [ABSTRACT FROM AUTHOR]

In this paper, the bending response of box-section beams of finite length is investigated by using energy methods. The basic assumptions used in the present study are that the total strain energy of a box-section beam subjected to uniformly distributed loading can be simplified into a two-stage analysis process. One is the local bending response of the webs and flanges behaving as plates; the other is the overall bending response of the beam with a deformed cross-section. Analytical solutions for both static and dynamic instabilities of box section beams of finite length subjected to transverse uniformly distributed loading are derived by applying the minimum potential energy principle. To validate the analytical solutions developed, geometric nonlinear finite element analyses are also conducted. Good agreement between the present solutions and the FEA results is demonstrated. Finally, the effects of beam length on the limit critical uniformly distributed load are also discussed. [ABSTRACT FROM AUTHOR]

This paper presents an analytical solution for determining the deflection of castellated/cellular beams with hexagonal/circular web openings, subjected to a uniformly distributed transverse load. The solution is derived using the principle of minimum potential energy. To validate the derived analytical solution, three-dimensional linear finite element analysis is performed using four-node shell elements built-in ANSYS software. Good agreement between the finite element result and the present analytical solution is demonstrated. [ABSTRACT FROM AUTHOR]

This paper presents a study on the flattening behavior of angle-section beams of finite length subjected to uniformly distributed transverse loads. Analytical solutions for static instabilities of angle-section beams when they are bent about their weak axis are derived using energy methods. The basic assumptions used in the present study are that the total strain energy of an angle-section beam subjected to a uniformly distributed load can be simplified into a two-stage process. One is the bending response of the two legs behaving as the plate; the other is the bending response as a beam with flattened section. The nonlinear instability is derived by applying the minimum potential energy principle and the corresponding static critical moments associated with the section flattening-induced buckling are determined. To validate the analytical solution developed, nonlinear finite element analyses are also conducted. Good agreement between the present solution and the FEA results is demonstrated. [ABSTRACT FROM AUTHOR]