单向偏心受压方钢管混凝土柱局部屈曲强度的解析解  

Analytical solution for local buckling strength of square CFT columns subjected to eccentric compression

作　　者：龙跃凌[1,2] 万军 

机构地区：[1]广东工业大学土木工程系,广州510006 [2]帝国理工学院土木与环境工程系

出　　处：《中国科学：技术科学》2018年第1期87-93,共7页Scientia Sinica(Technologica)

基　　金：国家自然科学基金(批准号:51008085;11472084);中国博士后基金(批准号:2014T70807;2012M511810);中国留学基金(批准号:201608440006)资助

摘　　要：对偏压作用下方钢管混凝土柱钢管的局部屈曲性能进行了理论研究.假定方钢管混凝土偏压柱的钢板的加载边与非加载边的边界条件均为固定约束,采用能量变分法推导得到方钢管混凝土偏压柱钢管局部屈曲应力的解析解.从而进一步研究了钢管的局部屈曲系数与应力梯度系数的关系,发现钢管的局部屈曲系数随应力梯度系数增大而增大:当应力梯度系数为0即轴心受压时,钢管的局部屈曲系数取得最小值即10.312;当应力梯度系数为2即纯弯受力时,钢管的局部屈曲系数取得最大值即22.713.其次,研究了不同应力梯度系数时方钢管混凝土偏压柱各钢板局部屈曲强度与钢板宽厚比的关系,从而给出了不同应力梯度系数时方钢管混凝土偏压柱各钢板合理的宽厚比限值,供工程设计参考.Theoretical study on local buckling behavior of square CFT columns subjected to eccentric compression has been carried out.Assuming that both the loaded edges and the unloaded edges of the steel plate are clamped, the analytical solution for local buckling strength of steel plates in square CFT columns subjected to eccentric compression is derived by energy method. Furthermore, the relationship between the local buckling coefficient of steel tube and the stress gradient is investigated. It is found that the local buckling coefficient of steel tube increases with the increase of the stress gradient. When the stress gradient equals 0, namely the steel plate is subjected axial compression, the minimum of the local buckling coefficient of steel tube is obtained, namely 10.312;when the stress gradient equals 2, namely the steel plate is subjected to pure bending, the maximum of the local buckling coefficient of steel tube is obtained, namely 22.713. Then, the relationship of local buckling strength of steel plates in square CFT columns subjected to eccentric compression with b/t ratios at different stress gradients is studied, resulting in the reasonable limitations for b/t ratios of the steel plates at different stress gradients in square CFT columns subjected to eccentric compression for the reference of engineering design.

关 键 词：方钢管混凝土 局部屈曲 偏心受压 应力梯度 能量变分法 

分 类 号：TU398.9[建筑科学—结构工程]