陈旭, 周东华, 章胜平, 王鹏, 李龙起. 压弯截面的弹塑性弯矩-曲率相关关系的解析法[J]. 工程力学, 2014, 31(11): 175-182,197. DOI: 10.6052/j.issn.1000-4750.2013.06.0509
引用本文: 陈旭, 周东华, 章胜平, 王鹏, 李龙起. 压弯截面的弹塑性弯矩-曲率相关关系的解析法[J]. 工程力学, 2014, 31(11): 175-182,197. DOI: 10.6052/j.issn.1000-4750.2013.06.0509
CHEN Xu, ZHOU Dong-hua, ZHANG Sheng-ping, WANG Peng, LI Long-qi. ANALYTICAL METHOD TO DETERMINE ELASTO-PLASTIC MOMENT-CURVATURE RELATIONSHIP OF BENDING SECTION[J]. Engineering Mechanics, 2014, 31(11): 175-182,197. DOI: 10.6052/j.issn.1000-4750.2013.06.0509
Citation: CHEN Xu, ZHOU Dong-hua, ZHANG Sheng-ping, WANG Peng, LI Long-qi. ANALYTICAL METHOD TO DETERMINE ELASTO-PLASTIC MOMENT-CURVATURE RELATIONSHIP OF BENDING SECTION[J]. Engineering Mechanics, 2014, 31(11): 175-182,197. DOI: 10.6052/j.issn.1000-4750.2013.06.0509

压弯截面的弹塑性弯矩-曲率相关关系的解析法

ANALYTICAL METHOD TO DETERMINE ELASTO-PLASTIC MOMENT-CURVATURE RELATIONSHIP OF BENDING SECTION

  • 摘要: 在平截面和钢材理想弹塑性模型假设下,设置纯弯曲受压区和塑性区高度系数等参数,对矩形和工字形钢截面进行了应变和内力的相关分析,得到相应应变变化区域。仅以受拉和受压两个边缘应变为自变量,建立了各参变量的解析表达式,及其在弹性、单侧塑性和双侧塑性极限状态的解析表达式。采用逆解法建立轴力不变和曲率不变两种情况下的截面轴力弯矩曲率曲线,以及截面弯矩轴力相关曲线。这些曲线反映了轴力-弯矩-曲率三变量相互间的依存和变化的全貌。

     

    Abstract: On the assumption of a plane section and an ideal elasto-plastic model of steel, parameters such as the height coefficient of a pure bending compression zone and a plastic zone are constructed. The relationship between internal force and strain is analyzed on rectangle and I-shape steel sections. The corresponding strain change area is obtained. Only by using the tension and pressure edge strains as the independent variables, the analytical expressions are established, including all parameters, variables and the analytical moment-axial force expression at the ultimate condition of elasticity, unilateral and bilateral plasticity. Axial force-moment-–curvature curves with fixed axial force and with fixed curvature, and moment-axial force interaction curves are set up by an inverse method. These curves illustrate the relationship and whole change process of axial forces, moments and curvatures.

     

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