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Nonlinear Bending of Box Section Beams of Finite Length Under Uniformly Distributed Loading
Wei-bin Yuan,Zhao-shui Bao,Nan-ting Yu,Shuang-shuang Zhu,Li-ping Wu 한국강구조학회 2017 International Journal of Steel Structures Vol.17 No.2
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.
Deflection of Castellated Beams Subjected to Uniformly Distributed Transverse Loading
Wei-bin Yuan,Nan-ting Yu,Zhao-shui Bao,Li-ping Wu 한국강구조학회 2016 International Journal of Steel Structures Vol.16 No.3
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.
Wei-bin Yuan,Yue-ting Shen,Nan-ting Yu,Zhao-shui Bao 한국강구조학회 2019 International Journal of Steel Structures Vol.19 No.5
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 eff ect 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 fi nite element analysis method. Parametric study is also performed for diff erent sections including diff erent 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.