Effects of Soil Simulation on the Interaction Analyses of Framed Structures Under 2-D and 3-D Conditions

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ORIGINAL PAPER

Effects of Soil Simulation on the Interaction Analyses of Framed Structures Under 2-D and 3-D Conditions Angeliki E. Arapakou . Vasileios P. Papadopoulos

Received: 2 November 2017 / Accepted: 18 May 2020  Springer Nature Switzerland AG 2020

Abstract The effects of some important factors on the development of differential settlements and flexural moments were investigated in the context of interaction analyses for two hypothetical building structures founded on a grid of strip footings. Geometrical simulations included 2-D and 3-D building models in order to identify possible differences when applying the simple 2-D simulation as against the more difficult 3-D one. Furthermore, in order to investigate the applicability of the simple linearly elastic soil model, comparisons were attempted between results obtained on the basis of linearly elastic and elastoplastic according to Mohr–Coulomb’s failure criterion interactive analyses. The variation of differential settlements (or rotations), bending moments and axial loads of the superstructure and foundation were studied versus the elastic modulus E or versus the global safety factor. Detailed conclusions were deduced based on representative diagrams. The comparisons between corresponding results obtained by 2-D and 3-D simulations indicated significant differences especially in cases of high relative rigidity, influenced by the thickness of the

A. E. Arapakou (&)  V. P. Papadopoulos School of Civil Engineering, National Technical University of Athens, Iroon Polytechniou 9, 15780 Zografou, Athens, Greece e-mail: [email protected] V. P. Papadopoulos e-mail: [email protected]

compressible soil layer. The comparisons between linearly elastic and elastoplastic soil simulation showed the important role of the relative rigidity in the interaction problem, especially for low values of the global safety factor. Keywords Soil-structure interaction  Relative rigidity  Strip footings  Differential settlements  Rotation  Bending moments  Safety factor

1 Introduction An enormous amount of research has been carried out in order to refine methods of design as well as to gain a better understanding of foundation behaviour. The investigation of the serviceability limit states (SLS) includes the estimation of the foundation displacements as well as their comparison with the corresponding allowable values. According to Eurocode 7-Part 1 (EN 1997–1 2004), foundation design limiting values shall be established for the foundation movements (overall and differential settlements, rotations or angular distortions, etc.). The limiting values which depend mainly upon the nature and sensitivity of the supported structures and the knowledge of them is a subject of great importance. The allowable – limiting values of displacements and deformations have been defined through empirical rules formulated mostly during the period 1955–1975. A summary of

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Geotech Geol Eng

the general criteria for serviceability design