Although the analysis and design of structures in static equilibrium can be intuitively carried out using simple equilibrium‐based methods such as graphic statics, the application of these methods to engineering problems that take into consideration specific material properties is generally limited. Within the domain of reinforced concrete, existing geometric approaches for developing stress fields and yield lines based on the theory of plasticity are especially useful. However, these approaches usually rely on iterative constructions and are generally limited to two‐dimensional cases. By taking advantage of graphic statics, this article introduces the theoretical basis for an entirely geometrical method to generate discrete stress fields and yield line patterns in two‐ and three‐dimensional reinforced concrete structures. The proposed approach is based on the use of reciprocal stress functions and the relationship between form and force diagrams.

中文翻译：

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钢筋混凝土结构塑性设计的统一几何框架

尽管可以使用简单的基于平衡的方法（例如图形静态方法）直观地进行静态平衡结构的分析和设计，但这些方法在考虑特定材料特性的工程问题中的应用通常受到限制。在钢筋混凝土领域中，基于可塑性理论的现有几何方法用于开发应力场和屈服线特别有用。但是，这些方法通常依赖于迭代构造，并且通常限于二维情况。本文利用图形静力学的优势，介绍了一种完全几何方法在二维和三维钢筋混凝土结构中生成离散应力场和屈服线模式的理论基础。