Research On Cross-section Warping Coursed By Distortion Of The Linear Elastic Thin-walled Beam Based On Generalized Beam Theory

For the complication of beam cross-section distortion effect, it becomes sticking out in research and practice that the limitation accompanied by relying merely upon numerical method. This is why we must stress analytic method as well as numerical method, and why the distortion effect has to be introduced into classic beam theory. In the scope of linear elastic theory, the consistent of the fundamental assumption between the theory of thin-walled beams and solid beams is analyzed and defined from the viewpoint of the thin plate theory. The drawback of Volassov thin-walled beams theory is studied on the ground of the traverse distribution of loads on the thin plate. And, the fundamental assumption of Generalized Beam Theory (GBT) is surveyed. This paper introduces the basic concepts and calculation methods of GBT. The paper argues that there is an imperfection in the fundamental a ssumption o f G BT with regard to the traverse bending model of the plates, which consists of the thin-walled beam, and presents a new model to amend it. By an example, the warping theory of the thin-walled beam is compared with and distinguished from GBT, while the contribution and the defect of the former is presented.