A Shear Deformable Finite Element Formulation for the Elastic Lateral Torsional Buckling Analyses of Steel Beams

IF 1.7 4区工程技术 Q3 ENGINEERING, CIVIL Iranian Journal of Science and Technology, Transactions of Civil Engineering Pub Date : 2024-07-20 DOI:10.1007/s40996-024-01536-0

Phe Van Pham, Tan Thi Doan, Trung Kien Nguyen, Duy Tien Nguyen, Xuan Huy Nguyen

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Abstract

The present study develops a shear deformable finite element (FE) formulation for the analysis of the elastic lateral torsional buckling (LTB) of steel beams. Four governing displacement fields are proposed to describe the LTB deformation. The buckling strains/stresses and the total buckling potential energy of the system are subsequently expressed in terms of the governing displacements. The theory considers the contributions of local and global warping deformations and shear deformations. A FE formulation is then developed by using linear and cubic shape functions. Based on the validations conducted in four examples, the buckling loads/modes of single and continuous span steel beams predicted by the present solutions are observed to excellently agree with those predicted by other analytical, experimental, numerical solutions. The buckling loads evaluated by using standard moment modification factors are also discussed to clarify the restrictions of the evaluation method. The effects of shear deformations, different loading conditions, and span ratios on the buckling responses of various steel beams are also investigated in the present study.

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用于钢梁弹性侧向扭转屈曲分析的剪切变形有限元计算公式

本研究为分析钢梁的弹性侧向扭转屈曲（LTB）开发了一种剪切变形有限元（FE）公式。研究提出了四个控制位移场来描述 LTB 变形。随后，系统的屈曲应变/应力和总屈曲势能都用控制位移来表示。该理论考虑了局部和整体翘曲变形以及剪切变形的贡献。然后，利用线性和立方体形状函数开发了一种 FE 公式。根据在四个实例中进行的验证，观察到本解决方案预测的单跨和连续跨度钢梁的屈曲载荷/模式与其他分析、实验和数值解决方案预测的载荷/模式非常吻合。此外，还讨论了使用标准弯矩修正系数评估的屈曲载荷，以澄清评估方法的限制。本研究还探讨了剪切变形、不同加载条件和跨度比对各种钢梁屈曲响应的影响。

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来源期刊

Iranian Journal of Science and Technology, Transactions of Civil Engineering ENGINEERING, CIVIL-

CiteScore

3.30

自引率

11.80%

发文量

203

期刊介绍： The aim of the Iranian Journal of Science and Technology is to foster the growth of scientific research among Iranian engineers and scientists and to provide a medium by means of which the fruits of these researches may be brought to the attention of the world’s civil Engineering communities. This transaction focuses on all aspects of Civil Engineering and will accept the original research contributions (previously unpublished) from all areas of established engineering disciplines. The papers may be theoretical, experimental or both. The journal publishes original papers within the broad field of civil engineering which include, but are not limited to, the following: -Structural engineering- Earthquake engineering- Concrete engineering- Construction management- Steel structures- Engineering mechanics- Water resources engineering- Hydraulic engineering- Hydraulic structures- Environmental engineering- Soil mechanics- Foundation engineering- Geotechnical engineering- Transportation engineering- Surveying and geomatics.