混凝土截面的轴力弯矩曲率全曲线解析法
nalysis method of the whole axial force-moment-curvature curvses on RC section
在平截面、钢筋理想弹塑性模型和《混凝土结构设计规范》中混凝土本构关系假设的基础上,以规范应变极限为界限建立截面应变区域,允许截面应变在区域内任意变化,并根据内力变化特点划分出区域①、②和③。针对中性轴位于截面内和截面外两种情况,以上下两个边缘应变为自变量,建立受压区高度系数、合力不均匀系数、位置系数和内力臂系数的解析表达式。进而推导出在任意应变状态下三个区域的弯矩和轴力的解析表达式。采用逆解法得到从极限拉力到极限压力轴力不变的n-m-? 曲线、曲率不变的?-n-m曲线和线性曲率变化的?-n-m曲线。这些曲线不仅反映了截面屈服和承载力极限状态值,而且揭示了中间状态值的变化过程和规律,展示了混凝土截面层次弯矩、曲率和轴力相关关系相互依存和变化的全貌。
On the assumption of plane section, idea elastoplastic model of steel and concrete constitutive relations of chinese Code for Design of Concrete Structures, strain area on section was constructed with Code's limits as boundary, inside which strain changed arbitrary, and three areas were divided according to changes of internal forces. By using the two edge strains as the independent variables and for two cases of the neutral axis in the section and outside, the analytical expressions were established including zone height, uniformity, position and arm coefficient of compression. Then the analytical expressions of moment and axial force were deduced at the state of arbitrary strains for the three areas. n-m-φcurvse with fixed compression,φ-n-m curvse with fixed curvature and with linear curvature change were set up by inverse method at the range from ultimate tension to ultimate compression. Through these curvses, it is clear for the values of yielding and ultimate limit state, changing regulations of course values, and the relationship and whole change process between moment, curvature and axial force on RC section.
章胜平、陈旭、周东华、王鹏
工程基础科学材料科学
混凝土截面材料非线性逆解法延性系数轴力弯矩曲率曲线
RC sectionmateria nonlinearityinverse methodductility factoraxial force-moment-curvature curvses
章胜平,陈旭,周东华,王鹏.混凝土截面的轴力弯矩曲率全曲线解析法[EB/OL].(2013-06-14)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201306-192.点此复制
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