单向偏心受压方钢管混凝土柱局部屈曲强度的解析解
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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.
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.
引文
1 Uy B,Bradford M A.Elastic local buckling of steel plates in composite steel-concrete members.Eng Struct,1996,18:193-200
2 Uy B.Strength of concrete filled steel box columns incorporating local buckling.J Struct Eng,2000,126:341-352
3 Uy B.Strength of short concrete filled high strength steel box columns.J Constr Steel Res,2001,57:113-134
4 Wright H D.Buckling of steel plates in contact with a rigid medium.Struct Eng,1993,71:209-215
5 Wright H D.Local stability of filled and encased steel sections.J Struct Eng,1995,121:1382-1388
6 Uy B.Local and post-local buckling of concrete filled steel welded box columns.J Constr Steel Res,1998,47:47-72
7 Cai J,Long Y L.Local buckling of steel plates in rectangular CFT columns with binding bars.J Constr Steel Res,2009,65:965-972
8 Liang Q Q,Uy B.Theoretical study on the post-local buckling of steel plates in concrete-filled box columns.Comp Struct,2000,75:479-490
9 Liang Q Q,Uy B,Richard Liew J Y.Nonlinear analysis of concrete-filled thin-walled steel box columns with local buckling effects.J Constr Steel Res,2006,62:581-591
10何保康,周天华.矩形钢管截面的b/t、h/t的限值确定.钢结构,2001,16:29-31,38
11何保康,杨晓冰,周天华.矩形钢管混凝土轴压局部屈曲性能的解析分析.西安建筑科技大学学报(自然科学版),2002,34:210-213
12蔡健,何振强,金雪峰.带约束拉杆方形钢管混凝土轴压柱局部屈曲性能.工程力学,2007,24:169-175
13莫时旭,钟新谷,赵人达.刚性基底上弹性约束矩形板的屈曲行为分析.工程力学,2005,22:174-178
14张耀春,曹宝珠.轴心受压薄壁圆钢管混凝土柱临界径厚比的确定.工程力学,2005,22:170-174
15 Timoshenko S P,Gere J M.Theory of Elastic Stability.2nd ed.New York:McGraw-Hill,1961
16龙跃凌,盘创汉.基于有限条法的偏压下方钢管混凝土柱局部屈曲分析.工业建筑,2017,47:158-162
17钢结构设计规范(GB 50017-2003).北京:中国计划出版社,2003
2 Uy B.Strength of concrete filled steel box columns incorporating local buckling.J Struct Eng,2000,126:341-352
3 Uy B.Strength of short concrete filled high strength steel box columns.J Constr Steel Res,2001,57:113-134
4 Wright H D.Buckling of steel plates in contact with a rigid medium.Struct Eng,1993,71:209-215
5 Wright H D.Local stability of filled and encased steel sections.J Struct Eng,1995,121:1382-1388
6 Uy B.Local and post-local buckling of concrete filled steel welded box columns.J Constr Steel Res,1998,47:47-72
7 Cai J,Long Y L.Local buckling of steel plates in rectangular CFT columns with binding bars.J Constr Steel Res,2009,65:965-972
8 Liang Q Q,Uy B.Theoretical study on the post-local buckling of steel plates in concrete-filled box columns.Comp Struct,2000,75:479-490
9 Liang Q Q,Uy B,Richard Liew J Y.Nonlinear analysis of concrete-filled thin-walled steel box columns with local buckling effects.J Constr Steel Res,2006,62:581-591
10何保康,周天华.矩形钢管截面的b/t、h/t的限值确定.钢结构,2001,16:29-31,38
11何保康,杨晓冰,周天华.矩形钢管混凝土轴压局部屈曲性能的解析分析.西安建筑科技大学学报(自然科学版),2002,34:210-213
12蔡健,何振强,金雪峰.带约束拉杆方形钢管混凝土轴压柱局部屈曲性能.工程力学,2007,24:169-175
13莫时旭,钟新谷,赵人达.刚性基底上弹性约束矩形板的屈曲行为分析.工程力学,2005,22:174-178
14张耀春,曹宝珠.轴心受压薄壁圆钢管混凝土柱临界径厚比的确定.工程力学,2005,22:170-174
15 Timoshenko S P,Gere J M.Theory of Elastic Stability.2nd ed.New York:McGraw-Hill,1961
16龙跃凌,盘创汉.基于有限条法的偏压下方钢管混凝土柱局部屈曲分析.工业建筑,2017,47:158-162
17钢结构设计规范(GB 50017-2003).北京:中国计划出版社,2003