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轴力和双向弯曲下工字钢承载力
摘    要:确定钢横断面抵抗力的塑性准则常基于一些基本假设,例如,取决于内力和截面形状相互作用的塑性铰的发展,因此,需要对每种截面形式提出相应的特定方程。该文提出新的相互作用准则分析轴力或双向弯曲下工字钢的弹性和塑性极限状态(不包括屈曲现象)。首先,针对一些特殊的内力组合(例如:单向弯矩-轴力组合和双向弯矩),给出相应的塑性相互作用准则。这二种情况都给出了精确的计算公式(包含采用该研究假设的框架),将所有塑性相互作用准则与EC3中相应的塑性准则进行比较。然后,提出适用于轴力和双向弯曲共同作用时的简化且总的准则。新的简化的塑性准则及EC3中采用的相应的塑性准则与精确的数值解相比较,结果显示,简易塑性准则的计算结果较为精确。对EC3提出改进建议。

关 键 词:钢结构  工字形截面  双向弯曲  偏心弯曲  轴力  弹性极限状态  塑性极限状态  交互作用条件  中性轴

Resistance of Steel I-Sections Under Axial Force and Biaxial Bending
Abstract:The plastic criteria for the verification of steel cross-sections resistance are usually based on some basic hypotheses such as the development of plastic hinges, which depend on the interaction between the internal forces and the cross-section shape; therefore, specific equations are required for each type of cross-section. This paper presents new alternative interaction criteria for the analysis of steel I-sections subjected to an axial force and biaxial bending moments, at the elastic or the plastic limit states (as long as buckling phenomena are not involved). The plastic interaction criteria are presented, in a first step, for some particular combinations of the internal forces, such as axial loading with bending about a main axis, and biaxial bending without axial loading. In these cases, they are given by exact equations (within the frame of the hypotheses adopted in this study). All these plastic interaction criteria are compared with the corresponding plastic criteria adopted in the Eurocode 3 (EC3). Afterwards, a simplified global criterion is proposed for the simultaneous combination of an axial force and bending moments about both the main axes of inertia. This new simplified plastic criterion and the corresponding plastic criterion adopted in the EC3 are compared with the exact solution, obtained by a mixed numerical and analytical integration procedure. This comparison shows that this simplified criterion usually leads to results closer to the exact solutions. Some suggestions are then presented to improve the results given by the EC3.
Keywords:Steel structures  I-section  Biaxial bending  Deviated bending  Axial force  Elastic limit state  Plastic limit state  Interaction criteria  Neutral axis
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