STABILITY OF DOUBLY SYMMETRIC I-SECTIONAL CANTILEVERS WITH DIFFERENT BOUNDARY CONDITIONS AT TIP
-
摘要: 对自由端侧向位移和扭转简支约束、自由端仅扭转约束和自由端仅简支扭转弹性约束条件下,双轴对称工字形截面悬臂梁的稳定性进行研究,并提出临界弯矩的计算公式。这一计算公式能够考虑悬臂梁长细比的变化,以及横向荷载作用点沿截面高度方向变化对其临界弯矩的影响。通过与有限元结果的比较可以发现,所提出的计算公式可以获得精度良好的临界弯矩值。Abstract: The lateral buckling of cantilevers of doubly symmetric I-section with different boundary conditions at tip was investigated in this paper, where three boundary conditions at tip in terms of practical use, both the lateral translation and torsion displacements clamped, torsion displacement clamped and torsion displacement elastically restrained, were mainly concerned.The solutions for the buckling load of these cantilevers under two typical load cases, the uniformly distributed loads and one concentrated load at tip, were proposed, in which the effects of the beam length and loading position in the vertical direction along the cross-section on the buckling load could be considered.Comparisons of lateral buckling loads from the presented solutions and the finite element analyses showed very good agreements between each other, which indicated the good accuracy of the proposed solutions.
-
Key words:
- cantilever /
- lateral buckling /
- buckling load ?
-
[2] Nethercot D A. The Effective Lengths of Cantilevers As Governed by Lateral Buckling[J]. The Structural Engineer,1973,51(4):133-138. Clark J W, Hill H N. Lateral Buckling of Beams[J]. Journal of Structural Division, ASCE,1960,127(3):180-201. [3] 史广喜.大悬臂变截面悬伸梁弹性侧扭屈曲研究[D].杭州:浙江大学,1988. [4] 郭耀杰.悬臂构件稳定性理论及其应用[M].武汉:华中理工大学出版社,1997. [5] Wang C M, Kitipornchai S. On the Stability of Mono-Symmetric Cantilevers[J]. Engineering Structures,1986,8(7):169-180. [6] Trahair N S. Lateral Buckling of Overhanging Beams[C]∥ Proceedings, Michael R. Horne Conference on Instability and Plastic Collapse of Steel Structures. London:1983:503-518. [7] Trahair N S. Flexural-Torsional Buckling of Structures[M]. London: E FN SPO,1993. [8] 张磊,童根树.工字形截面悬臂钢梁的稳定性研究[J].工程力学,2003,20(3):176-182. [9] 陈骥.钢结构稳定理论与设计[M].2版.北京:科学出版社,2003. [10] 童根树.钢结构的平面外稳定[M].北京:中国建筑工业出版社,2007. [11] 朱俞江,张磊,童根树.双轴对称工字形截面悬臂梁的稳定系数[C]∥中国钢协结构稳定与疲劳分会第12届(ASSF -2010)学术交流会暨教学研讨会论文集.2010. [12] 张磊.考虑横向正应力的薄壁构件理论及其应用[D].杭州:浙江大学,2005.
点击查看大图
计量
- 文章访问数: 145
- HTML全文浏览量: 9
- PDF下载量: 107
- 被引次数: 0