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A non-linear model for analysis and design of slender reinforced-concrete columns

机译:细长钢筋混凝土柱分析与设计的非线性模型

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The purpose of this paper is to present a non-linear model for analysis and design of slender reinforced-concrete columns subjected to uniaxial and biaxial bending. This model considers both material and geometric non-linearities, as well as creep effects. The structural analysis is performed by the finite-element method associated with an iterative process to solve the system of non-linear equations. The column may have an arbitrary polygonal cross-section, including openings. Green's theorem is used to perform the integration at the level of the cross-sections, which is greatly simplified with the use of a new parabola-rectangle diagram proposed for concrete in compression. This new diagram provides the correct value of the tangent modulus of elasticity of concrete, allowing its use for non-linear analysis of slender columns. By changing the strain value corresponding to the maximum stress, it is possible to use a single stress-strain diagram for displacement calculation and rupture verification, which facilitates the design of slender columns. The accuracy of the method is demonstrated through the analysis of several columns tested experimentally by other authors.
机译:本文的目的是提出一个非线性模型,用于分析和设计承受单轴和双轴弯曲的细长钢筋混凝土柱。该模型同时考虑了材料和几何非线性以及蠕变效应。通过与迭代过程相关联的有限元方法来执行结构分析,以求解非线性方程组。该柱可以具有包括开口的任意多边形横截面。格林定理用于在横截面水平上进行积分,通过使用为混凝土压缩提出的新的抛物线-矩形图,极大地简化了该定理。此新图提供了混凝土切线弹性模量的正确值,从而可用于细长柱的非线性分析。通过更改对应于最大应力的应变值,可以将单个应力-应变图用于位移计算和断裂验证,这有助于细长柱的设计。通过分析其他作者实验测试的几根色谱柱,证明了该方法的准确性。

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