上海交通大学学报(自然版) ›› 2012, Vol. 46 ›› Issue (10): 1573-1580.

• 建筑科学 • 上一篇    下一篇

钢筋混凝土矩形梁受弯扭作用的极限分析

陈溪a,刘西拉b   

  1.  (上海交通大学a.工程力学系;  b.土木工程系, 上海 200240)
  • 收稿日期:2011-11-06 出版日期:2012-10-30 发布日期:2012-10-30
  • 基金资助:

    国家自然科学基金资助项目(51178265)

Limit Analysis for Reinforced Concrete Beams with Rectangular Cross-Section under Bending and Torsion  

 CHEN  Xi-a, LIU  Xi-La-b   

  1. (a.Department of Solid Mechanics; b.Department of Civil Engineering,  Shanghai Jiaotong University, Shanghai 200240, China)
  • Received:2011-11-06 Online:2012-10-30 Published:2012-10-30

摘要: 提出了一个新的钢筋混凝土矩形构件在弯矩和转矩共同作用下的极限分析方法.根据构件所受到的外力确定构件破坏时的破坏翘曲面,通过分析得到破坏翘曲面上的应力分布,利用平衡方程得到弯扭联合作用下的强度计算公式.根据极限分析的基本原理,文中提出的方法为一个下限解,得到的结果应该比实际破坏荷载适当偏小.该方法计算简单,概念明确,与现有的试验结果吻合较好,并且还可以进一步推广到更复杂的受力情况.  

关键词: 钢筋混凝土, 梁, 矩形截面, 极限分析, 弯扭破坏承载力

Abstract: A new limit analysis method for rectangular reinforced concrete (RC) beams subjected to combined bending and torsion was given. Based on the warped failure surface determined by external loads, with an assumed reasonable stress distribution, a new strength equation on torsion-bending interaction was derived from the equilibrium conditions, which should be a lower bound in limit analysis. The new equation is simple and conceptually clear. Comparing with the existing test results it is shown that the new method is in good agreement with the existing test results, and may also be used in more complex external loadings case.  

Key words: reinforced concrete, beams, rectangular section, limit analysis, bending and torsional capacity

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