Nonlinear bending of box section beams of finite length under uniformly distributed loading

作者:Yuan, Wei-bin*; Bao, Zhao-shui; Yu, Nan-ting; Zhu, Shuang-shuang; Wu, Li-ping
来源:International Journal of Steel Structures, 2017, 17(2): 491-499.
DOI:10.1007/s13296-017-6009-5

摘要

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.