摘要
根据Timoshenko二广义位移梁理论,导出了考虑剪切变形影响压弯构件的解析解和弯矩-转角位移方程.利用位移法分析了单层单跨框架柱下端分别为铰接或固结时的对称与反对称失稳问题,建立了失稳时关于计算长度系数的超越方程.在此基础上,计算了单层单跨框架不同剪弯刚度比的计算长度系数,并与不考虑剪切变形影响的结果进行了比较,得出了剪切变形显著影响无侧移失稳框架的计算长度系数,但不影响有侧移失稳框架的计算长度系数,且得到现行的不考虑剪切变形影响的计算长度系数法偏不安全等结论,指出本研究所用方法可推广至多层多跨框架稳定分析中.
Based on Timoshenko theory of deep beam, analytical solution and moment-slope function are presented. Using the displacement method, buckling stabilities of frames with hinged column and fixed column are analyzed. Transcend equations about effective length factors are derived. Further, the effective length factors for different ratios of shear rigidity to flexural rigidity are calculated, which is compared with the results without regard of shear deformation. From these results, the conclusions of shear deformation effecting on the effective length factors of non-sway frames remarkably and effecting on the effective length factors of sway frames feebly are concluded. Current method without including the shear deformation effect is not safe. This method can be extended to multi-story and multi-span frames.
出处
《长沙交通学院学报》
2007年第3期1-5,共5页
Journal of Changsha Communications University
基金
长沙理工大学EI收录奖励基金项目(2004-48)
关键词
结构工程
计算长度系数
剪切变形
屈曲
深梁
structure engineering
effective length factor
shear deformation
buckling
Timoshenko beam
