Abstract
abstract: Reinforced concrete shell elements are relevant in several civil and industrial structures. It is important to know the methods for designing and verifying such elements. In this context, the present paper aims at describing the iterative three-layer method proposed by Colombo et al. This method is based on the Model Code/1990, and it can be applied in the design of shell elements. An additional method for verifying reinforced concrete shell elements is also proposed and discussed. This one is based on the multilayer method proposed by Kollegger et al. Formulations as well as numerical examples are presented for both methods. The design proposed by Colombo et al. is verified by using the methodology based on the multilayer method. Although both methods lead to the equilibrium between applied and resistance loads using approximately the same amount of reinforcement, especially for small neutral axes in relation to the element thickness, one may conclude that the three-layer design method has limitations due to not considering strain compatibility along the thickness of the element and due to the impossibility to calculate the compression reinforcement. Although the multilayer method overcomes such limitations, it is a verification method, and more studies about its use in the design of reinforced concrete shell elements are necessary.
Highlights
The behavior of concrete structures can be analyzed through models composed of basic structural elements
Having presented the design of four shell elements by the three-layer method and their verification by the multilayer method, it is valid to discuss some assumptions of both models
The nonlinearity of the problem is taken into account in the models for reinforcement design and for verification of concrete in ultimate and service limit states
Summary
The behavior of concrete structures can be analyzed through models composed of basic structural elements Such elements are classified according to the geometry and the loads acting on them. On the other hand, are those in which one dimension, usually called thickness, is relatively smaller than the other two dimensions. They are defined by the average surface and by the thicknesses perpendicular to it. Within this classification, NBR 6118/2014 [1] differentiates several types of structural elements according to the loads to which they are subjected. The linear elements are: a) beams, in which bending is predominant; b) columns, in which compressive axial forces are predominant; c) ties, in which tensile axial forces are predominant; d) arches, in which compressive axial forces are predominant, with or without bending loads
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