Lateral-torsional Buckling Moment of Simply Supported Unrestrained Monosymmetric Beams

3rd World Multidisciplinary Civil Engineering, Architecture, Urban Planning Symposium

土木建筑工程;文学

Bijak, Roman^1

Kielce University of Technology, al. 1000lecia PP., Kielce

25-314, Poland^1

关键词: Arbitrary direction;    Bubnov-Galerkin methods;    Distributed loads;    Finite element method softwares;    Lateral-torsional buckling;    Simply supported;    Simply supported beams;    Stability equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/471/3/032074/pdf
DOI  :  10.1088/1757-899X/471/3/032074

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

The stability equations for simply supported beams were solved approximately using the Bubnov-Galerkin method. We omit the influence of displacements in the plane of bending. The analytical solutions were used for checking the stability of laterally unrestrained mono-symmetric beams. The lateral-torsional buckling (LTB) moment depends on bending distribution and on the load height effect. Each of applied concentrated and distributed loads, may have arbitrary direction and optional coordinate for the applied force along the cross section's height. Derived equations allow for simple, yet fast control of lateral buckling moment. Numerical examples show good consistency of analytic results with those obtained from Finite Element Method (FEM) software.