• 应用研究 •

### 轴压构件屈曲临界载荷放大系数的研究1)

1. 兰州大学土木工程与力学学院，西部灾害与环境力学教育部重点实验室， 兰州 730000
• 收稿日期:2017-12-27 出版日期:2018-12-15 发布日期:2019-01-02
• 作者简介:2) 王杜欣，在读硕士，主要研究方向为钢结构基本理论和应用等。E-mail: wangdx16@ lzu.edu.cn
• 基金资助:
国家自然科学基金(51308272)和兰州大学中央高校基本科研业务费专项资金(lzujbky-2016-109)资助项目

### STUDY ON AMPLIFICATION FACTOR OF FLEXURAL BUCKLING CRITICAL LOAD OF AXIAL COMPRESSION BARS1)

WANG Duxin2), LIU Zhanke

1. Key Laboratory of Mechanics on Disaster and Environment in Western China, the Ministry of Education of China, School of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China
• Received:2017-12-27 Online:2018-12-15 Published:2019-01-02

Abstract: In order to establish the calculation theory of flexural buckling critical loads for axial compression members under normal conditions, First of all, the total potential energy equation for bending buckling of bars was derived, then the critical loads for four kinds of end constraint conditions were obtained by employing Rayleigh-Ritz method and based on the principle of potential energy stationary value theory, and the formula of critical load amplification coefficient was given by comparing the Euler's critical load, which was able to consider the influence of slenderness ratio, compression deformation, shear deformation and cross-sectional shape coefficients, and the formula was derived in this paper can be used to calculate the critical loads for compression bars in possession of smaller slenderness ratio. The analysis of the critical loads between the circular-section and the biaxial symmetric I-section axial compression members show that the slenderness ratio of the member is the dominant factor affecting the amplification coefficient.