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Theoretical and numerical modeling of a shallow foundation stiffness based on the theory of elastic half-space

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents the derivation of equations for the calculation of the spring constants ky, kz, and kϕ and the spring coefficients βy, βz, and βϕ used in the modeling of a foundation with a rectangular base on elastic soil. All the equations were derived based on information provided in literature, for example, Barkan, Gorbunov-Possadov, and Whitman et al. To demonstrate the application of these equations in practice, two numerical models of a reinforced concrete frame structure that was built on soil were created using Abaqus FEA software. Model A represents a complex three-dimensional numerical model that consists of a reinforced concrete frame structure, which has a soil layer beneath it. Model B represents a simple three-dimensional numerical model consisting of a reinforced concrete frame structure, where the stiffness of the soil layer beneath the structure was modeled with vertical, horizontal, and rocking spring constants applied to the bottom of each foundation. Due to the nonlinear boundary condition used in the supports of the concrete frame model, such as contact and friction, all the involved loads were incorporated into a single load case, and a large displacement formulation was used in the analysis. The authors focused on the method of a simplified modeling of frame structures founded on soil. To conduct comparative analyses, two columns and two beams from each model were selected, from which the internal forces and displacements were compared. The findings of the comparative analysis are presented in tables and then discussed.
Wydawca
Rocznik
Strony
302--317
Opis fizyczny
Bibliogr. 17 poz., rys., tab.
Twórcy
  • Wroclaw University of Science and Technology, Faculty of Civil Engineering Wrocław, Poland
  • Wroclaw University of Science and Technology, Faculty of Civil Engineering Wrocław, Poland
Bibliografia
  • [1] Winkler, E. (1867). Die Lehre von der Elastizitat und Festigkeit. Dominicus, Prague.
  • [2] Brząkała W., Herbut A. (2018). Application of the Winkler model to the calculation of a hybrid retaining construction. Acta Sci. Pol. Architectura, 17 (2), 37–51 (in Polish).
  • [3] Nikos Gerolymos, George Gazetas. (2006). Development of Winkler model for static and dynamic response of caisson foundations with soil and interface nonlinearities. Soil Dynamics and Earthquake Engineering, (26), 363–376.
  • [4] Pasternak, P. (1954). On a new method for analysis of foundations on an elastic base using two base parameters. Gosudarstvennoe Izdatelstro Liberaturi po Stroitelstvui Arkhitekture. Moscow (in Russian).
  • [5] Kerr, A. (1965). A study of a new foundation model. Acta Mechanica, 135–147 (1965).
  • [6] Taylor, A.G.; Chung, J.H. (2022). Explanation and Application of the Evolving Contact Traction Fields in Shallow Foundation Systems. Geotechnics, (2), 91–113. https://doi.org/10.3390/geotechnics2010004
  • [7] Whitman, R. V., and Richart, F. E., Jr. (1967). Design Procedures for Dynamically Loaded Foundations. Journal of the Soil Mechanics and Foundations Division, 93(6), 169–193.
  • [8] Lambe, T. W., Whitman, R. V. (1969). Soil Mechanics, Wiley, New York.
  • [9] Richart, F. E., Woods, R. D., Hall, J. R., (1970). Vibrations of Soils and Foundations, Prentice-Hall.
  • [10] Braja M. Das, Ramana, G. V. (2011). Principles of Soil Dynamics, Second Edition, Nelson Education.
  • [11] Barkan, D. D. (1962). Dynamics of bases and foundations. New York: McGraw-Hill, (Translated from Russian).
  • [12] Gorbunov-Possadov, M. I., Serebrajanyi, R. V. (1961). Design of Structures upon Elastic Foundations, Proc. 5th International Conference on Soil Mechanics and Foundation Engineering, (1), 643–648.
  • [13] Gorbunov-Posadov, M. I. (1956). Obliczanie konstrukcji na podłożu sprężystym. Budownictwo i Architektura, Warszawa, (Translated from Russian).
  • [14] Fattah, M. Y., Al-Azal Al-Mufty, A. A., Al-Badri, H. T. (2007). Design charts for machine foundations. Journal of Engineering, 4(13), 1940–1961. doi:10.31026/j.eng.2007.04.07. Open DOI
  • [15] Schleicher, F. (1926). Zur Theorie der Baugrundes. Der Bauingenieur, (48), 931–935.
  • [16] Abaqus FEA software, Dassault Systemes, https://academy.3ds.com
  • [17] Bowles, J. E. (1997). Foundation analysis and design. Fifth Edition. The McGraw-Hill Companies, Inc.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8cbcc8cb-7621-41d3-8d4f-3aad024a444e
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