Gridwork analogy method: numerical analysis of solid reinforced concrete slabs
Keywords:
Gridwork analogy, Structural analysis, reinforced concrete, slabsAbstract
During the phases of design and structural analysis of solid concrete slabs the determination of the internal forces has been a topic of interest given the inherent difficulties in the study of continuous elements. Currently, numerical techniques such as the Finite Element Method (FEM) and the gridwork analogy method have been widely implemented in computational tools, so that the last one consists of a simplification by discretization of the slab in a system of uniformly spaced orthogonal bars, in order to constitute a plane grid whose properties are compatible with the original structure. This work intends to analyze the gridwork analogy method applied to solid rectangular and “L-shaped" reinforced concrete slabs, in order to determine the mesh spacing and torsional constant (J) that gives sufficient precision to the results of forces and displacements, in comparison to finite elements and the Theory of Plates solution. At the end of the studies, it was noticed great compatibility in obtaining bending moments and displacements compared to FEM, from the use of J/I=1.5 and J/I=2.5, respectively, and about fifteen to thirty centimeters of bar spacing.
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