Influence of Mechanical Properties of Concrete and Soil on Solicitations of Mat Foundation
Author(s)
Oustasse Abdoulaye Sall1*,
Makhaly Ba1,
Mapathé Ndiaye1,
Daouda Sangare2,
Mathioro Fall1,
Alassane Thiam1
Affiliation(s)
1 Département de Génie Civil, UFR SI-Université de Thiès, Thiès, Sénégal. 2 Département de Mathématiques, UFR SAT-Université Gaston Berger, Saint Louis, Sénégal.
1 Département de Génie Civil, UFR SI-Université de Thiès, Thiès, Sénégal. 2 Département de Mathématiques, UFR SAT-Université Gaston Berger, Saint Louis, Sénégal.
ABSTRACT
This work studies the influence of mechanical and geometrical characteristics of the concrete and the soil on the stresses in a mat foundation. In this study, the soil-structure interaction is modeled by two parameters, the modulus of subgrade vertical reaction (k) and the modulus of subgrade horizontal reaction (2T). These two parameters are dependent on the geometrical and mechanical characteristics of the system. Results of this study show a sensitivity of solicitations to variations of geometrical and mechanical characteristics of the model. Although solicitations in the plate are sensitive to mechanical properties of concrete, these solicitations are strongly influenced by the mechanical and geometrical characteristics of the soil mass. However, it should be noted that the influence of Eb is denoted in the center of the plate whereas the Es feels almost in the same manner over the entire extent of the plate. This study also shows that for the same load cases, the values of the torsion moment and shear stress are not significant those of bending moments and normal stresses, respectively.
This work studies the influence of mechanical and geometrical characteristics of the concrete and the soil on the stresses in a mat foundation. In this study, the soil-structure interaction is modeled by two parameters, the modulus of subgrade vertical reaction (k) and the modulus of subgrade horizontal reaction (2T). These two parameters are dependent on the geometrical and mechanical characteristics of the system. Results of this study show a sensitivity of solicitations to variations of geometrical and mechanical characteristics of the model. Although solicitations in the plate are sensitive to mechanical properties of concrete, these solicitations are strongly influenced by the mechanical and geometrical characteristics of the soil mass. However, it should be noted that the influence of Eb is denoted in the center of the plate whereas the Es feels almost in the same manner over the entire extent of the plate. This study also shows that for the same load cases, the values of the torsion moment and shear stress are not significant those of bending moments and normal stresses, respectively.
Cite this paper
Sall, O. , Ba, M. , Ndiaye, M. , Sangare, D. , Fall, M. and Thiam, A. (2015) Influence of Mechanical Properties of Concrete and Soil on Solicitations of Mat Foundation. Open Journal of Civil Engineering, 5, 249-260. doi: 10.4236/ojce.2015.52025.
Sall, O. , Ba, M. , Ndiaye, M. , Sangare, D. , Fall, M. and Thiam, A. (2015) Influence of Mechanical Properties of Concrete and Soil on Solicitations of Mat Foundation. Open Journal of Civil Engineering, 5, 249-260. doi: 10.4236/ojce.2015.52025.
References
[1] Sall, O.A (2015) Calcul analytique et modélisation de structure en plaque interaction sol-structure en vue du calcul des fondations superficielles en forme de radier. Thèse de Doctorat de l’Université de Thiès, Thiès, 125 p. [2] Turhan, A. (1992) A Consistent Vlasov Model for Analysis on Plates on Elastic Foundation Using the Finite Element Method. The Graduate Faculty of Texas Tech University in Partial Fulfillment of the Requirements for the Degree of Doctor. [3] Filonenko-Borodich, M.M. (1940) Some Approximate Theories of the Elastic Foundation. Uch. Zap. Mosk. Gos, Univ. Mekh. No. 46, 3-18. [4] Filonenko-Borodich, M.M. (1945) A Very Simple Model of an Elastic Foundation Capable of Spreading the Load Sb Tr. Mosk. Elektro. Inst. Inzh. Trans., No. 53, Transzheldorizdat. [5] Selvadurai, A.P.S. (1979) Elastic Analysis of Soil-Foundation Interaction. Developments in Geotechnical Engineering, 17, Elsevier Scientific Publishing Company. [6] Sall, O.A, Fall, M., Berthaud, Y., Ba, M. and Ndiaye, M. (2013) Influence of the Elastic Modulus of the Soil and Concrete Foundation on the Displacements of a Mat Foundation. Open Journal of Civil Engineering, 3, 228-233.
http://dx.doi.org/10.4236/ojce.2013.34027 [7] Biot, M.A (1937) Bending of an Infinite Beam on an Elastic Foundation. Journal of Applied Physics, 12, 155-164.
http://dx.doi.org/10.1063/1.1712886 [8] Vlasov, V.Z. (1949) Structural Mechanics of Thin Walled Three Dimensional System. Stroizdat, Moscow.
[1] Sall, O.A (2015) Calcul analytique et modélisation de structure en plaque interaction sol-structure en vue du calcul des fondations superficielles en forme de radier. Thèse de Doctorat de l’Université de Thiès, Thiès, 125 p. [2] Turhan, A. (1992) A Consistent Vlasov Model for Analysis on Plates on Elastic Foundation Using the Finite Element Method. The Graduate Faculty of Texas Tech University in Partial Fulfillment of the Requirements for the Degree of Doctor. [3] Filonenko-Borodich, M.M. (1940) Some Approximate Theories of the Elastic Foundation. Uch. Zap. Mosk. Gos, Univ. Mekh. No. 46, 3-18. [4] Filonenko-Borodich, M.M. (1945) A Very Simple Model of an Elastic Foundation Capable of Spreading the Load Sb Tr. Mosk. Elektro. Inst. Inzh. Trans., No. 53, Transzheldorizdat. [5] Selvadurai, A.P.S. (1979) Elastic Analysis of Soil-Foundation Interaction. Developments in Geotechnical Engineering, 17, Elsevier Scientific Publishing Company. [6] Sall, O.A, Fall, M., Berthaud, Y., Ba, M. and Ndiaye, M. (2013) Influence of the Elastic Modulus of the Soil and Concrete Foundation on the Displacements of a Mat Foundation. Open Journal of Civil Engineering, 3, 228-233.
http://dx.doi.org/10.4236/ojce.2013.34027 [7] Biot, M.A (1937) Bending of an Infinite Beam on an Elastic Foundation. Journal of Applied Physics, 12, 155-164.
http://dx.doi.org/10.1063/1.1712886 [8] Vlasov, V.Z. (1949) Structural Mechanics of Thin Walled Three Dimensional System. Stroizdat, Moscow.