Abstract
In this paper, we suggest to study the behavior of a mat foundation on subsoil from the plate theory taking into account the soil-structure interaction. The objective is to highlight the soil-structure interaction particularly the influence of the rigidities of the soil and the concrete on the subgrade reaction (k) and the displacements of the mat foundation subjected to vertical loads. From plate theory and the soil-structure interaction, the general equation is reached. This equation depends more on the subgrade properties than the concrete foundation properties. Consequently, the behavior of the mat foundation is more influenced by soil properties than the concrete.
Highlights
The structural and geotechnical calculations of civil engineering works involve the limit state method and require the determination of characteristic values for resistance and deformation criteria of structures and soils
These figures show that k and the displacements vary slightly with the mechanical properties of concrete foundation and are strongly dependent on elastic modulus of the soil foundation
It appears from this study that the elastic modulus and the Poisson’s ratio of the subgrade are the most influential parameters on the displacements of the plate
Summary
The structural and geotechnical calculations of civil engineering works involve the limit state method and require the determination of characteristic values for resistance and deformation criteria of structures and soils. The geotechnical design is mainly based on the determination of the displacement caused by the actions applied to foundation and the determination of stresses under limit state service. A computational approach that takes into account structural and geotechnical aspects related to the design of foundation structures must be developed. It is question of interaction between two bodies of very different characteristics of deformability. The rupture is often followed by the formation of a thin region led in the direction of contact. This area is called soil-structure interface and it is the location of the major displacements. A precise knowledge of moduli characterizes its deformability and stress paths which should facilitate the optimization of the structural and geotechnical design of foundation
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