摘要 继文献[1]对L形截面钢柱的弯扭相关屈曲一般性方程研究,本文研究了L形截面钢柱轴心受压承载力实用计算方法,推导出了L形截面柱换算长细比计算公式,考虑了柱缺陷影响,给出了轴心受压稳定系数 ,从而得出L形截面柱轴心受压实用设计计算公式,并做了几组L形截面柱轴心受压承载力试验,验证了计算公式。
关键词 L形截面钢异形柱,柱初始缺陷分析,换算长细比,轴心受压
Research on the Applied Calculation method
for Steel Abnormity-section Columns under Axial Pressure
Wang minggui1 Wang xiaoyu2 Chen zhanghua2
(1 China Academy of Building Research Beijing 100013)
(2 Science and Technology University of Beijing 100083)
[Abstract] Following the literature [1] about the general equations of torsional-flexural interactive buckling, this paper has been researched on the calculation method of load-carrying capacity to the L-section column under axial pressure for engineering applications. The equivalent slenderness ratio of L-section column has been derived. Considering the influence initial imperfections, the column’s steady coefficient is obtained under axial pressure. Thereby we have gained the applied calculation formula about L-section column under axial pressure. Eventually we have finished several groups of experiments about bearing capacity of L-section column under axial pressure so as to testify the computing formula.
[Keywords] L-section steel column, analysis of initial imperfections column, equivalent slenderness ratio, axial pressure
我们在文献[1]中提出了钢异形柱在住宅建筑中应用的思想,并利用薄壁构件理论建立了L形截面柱弯扭相关屈曲一般性方程,分析了理想直杆轴压特征值问题。本文将进一步研究L形截面柱轴心受压承载力实用设计计算公式,首先推导出L形截面柱换算长细比计算公式,再引入柱缺陷影响,给出了轴心受压稳定系数,从而得出L形截面柱轴心受压实用设计计算公式,再用试验进行验证所得计算公式。
1 引述
为了方便叙述,在此引进文献[1]有关任意截面柱弯扭屈曲相关方程:
(1)
弯矩可以写成: , ,其中偏心距 和 都是以主轴的正方向为正,负方向为负,这样,方程(1)就可以写为:(2)
式中
为材料屈服强度,E为材料弹性模量,G为材料剪切模量,l为构件长度,A为构件截面面积,(x0,y0)为截面剪坐标。如图1所示, o z为形心主坐标系,o为形心。
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