Abstract
The need for quick and easy deflection calculations of various prefabricated slabs causes simplified procedures and numerical tools to be used more often. Modelling of full 3D finite element (FE) geometry of such plates is not only uneconomical but often requires the use of complex software and advanced numerical knowledge. Therefore, numerical homogenization is an excellent tool, which can be easily employed to simplify a model, especially when accurate modelling is not necessary. Homogenization allows for simplifying a computational model and replacing a complicated composite structure with a homogeneous plate. Here, a numerical homogenization method based on strain energy equivalence is derived. Based on the method proposed, the structure of the prefabricated concrete slabs reinforced with steel spatial trusses is homogenized to a single plate element with an effective stiffness. There is a complete equivalence between the full 3D FE model built with solid elements combined with truss structural elements and the simplified homogenized plate FE model. The method allows for the correct homogenization of any complex composite structures made of both solid and structural elements, without the need to perform advanced numerical analyses. The only requirement is a correctly formulated stiffness matrix of a representative volume element (RVE) and appropriate formulation of the transformation between kinematic constrains on the RVE boundary and generalized strains.
Highlights
Prefabricated concrete structures such as floor slabs, girders, and columns have numerous advantages, including (a) quality standard, (b) saving of formwork, (c) short construction time, (d) durability of the structure, and (e) very low energy consumption [1,2,3].That is why prefabricated concrete elements, and in particular composite structures, have been widely used in industrial and residential buildings all over the world in recent decades [2]
The Filigree plate is a prefabricated composite floor consisting of a reinforced concrete slab, spatial trusses, and concrete topping laid on the construction site
The results presented in the previous section concern two models of Filigree ty floor concrete prefabricated plates, namely, Type-D and Type-EQ, which differ in t (a)
Summary
Prefabricated concrete structures such as floor slabs, girders, and columns have numerous advantages, including (a) quality standard, (b) saving of formwork, (c) short construction time, (d) durability of the structure, and (e) very low energy consumption [1,2,3]. That is why prefabricated concrete elements, and in particular composite structures, have been widely used in industrial and residential buildings all over the world in recent decades [2]. Ceiling, which is used all over Europe It is a typical example of a semi-prefabricated ceiling used in industrial, residential, rural, and general construction, and it allows architects to follow their creativity, which this type of ceiling does not limit. In Poland, this ceiling first appeared in 1996, while in Europe these structures could be found already in 1964–1965
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