Numerically Based Parametric Analysis of Mat Foundations
Publication: Practice Periodical on Structural Design and Construction
Volume 25, Issue 2
Abstract
This study uses the finite element method to investigate the behavior of symmetrical mats subjected to concentrated loads. The analysis considers different mat geometries, soil moduli of subgrade reaction, and concrete moduli of elasticity. The effect of these parameters on the maximum soil bearing pressure, bending moment, and shear within the mat is determined. For the considered mats, the maximum soil bearing pressure is observed below the corner columns, while the minimum soil pressure occurs in the middle of the central panel. The maximum positive bending moment is found below the interior column closest to the edge, whereas the maximum negative moment was located along a column strip midway between the edge and first interior columns. The location of the maximum shear occurs at the face of the edge column nearest to the corner of the mat. The most important parameters that affect the structural response of a mat are the thickness of the mat and spacing between columns, and to a lesser extent the soil modulus of subgrade reaction, concrete modulus of elasticity, and panel aspect ratio.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request (all input files for the SAFE software).
Acknowledgments
The authors would like to acknowledge the financial support provided by the American University of Sharjah through faculty research grant number FRG11-II-22.
References
ACI (American Concrete Institute). 2019. Building code requirements for structural concrete and commentary. ACI 318-19. Farmington Hills, MI: ACI.
Colasanti, R. J., and J. S. Horvath. 2010. “Practical subgrade model for improved soil-structure interaction analysis: Software implementation.” Pract. Period. Struct. Des. Constr. 15 (4): 278–286. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000060.
CSI (Computers and Structures, Inc.). 2016. CSI analysis reference manual for SAP2000, ETABS, SAFE and CSiBridge, 534. Berkeley, CA: CSI.
Das, B. M. 2016. Principles of foundation engineering. 8th ed. 919. Boston: Cengage.
Farouk, H., and M. Farouk. 2016. “Soil, foundation, and superstructure interaction for plane two-bay frames.” Int. J. Geomech. 16 (1): 11. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000453.
Hasan, I. M. 2011. “Influence of structural and soil parameters on mat deflection.” Int. J. Civ. Struct. Eng. 2 (1): 976–987.
Horvath, J. S., and R. J. Colasanti. 2011. “Practical subgrade model for improved soil-structure interaction analysis: Model development.” Int. J. Geomech. 11 (1): 59–64. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000070.
Jeong, S., J. Park, and K. You. 2017 “Analytical method of mega foundations for high-rise buildings.” In Proc., 19th Int. Conf. on Soil Mechanics and Geotechnical Engineering (ICSMGE Secretariat), 2789–2792. Seoul: Yonsei Univ.
Jha, A. K., K. Utkarsh, and R. Kumar. 2015. “Effect of soil-structure interaction on multi storey buildings on mat foundation.” In Advances in structural engineering, 703–715. Berlin: Springer.
Lee, J., S. Jeong, and J-K Lee. 2015. “3D analytical method for mat foundations considering coupled soil springs.” Geomech. Eng. 8 (6): 845–857. https://doi.org/10.12989/gae.2015.8.6.845.
Liou, G. S., and S. C. Lai. 1996. “Structural analysis model for mat foundations.” J. Struct. Eng. 122 (9): 1114–1117. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:9(1114).
Mehrotra, B. L., Y. P. Gupta, A. K. Baska, and A. K. Govil. 1980. “Approximate method—Raft structure interaction analysis.” In Proc., Annual Conf. of the Canadian Society for Civil Engineers. Winnipeg, Canada: Univ. of Manitoba.
Meyerhof, G. 2002. “Shallow foundations.” Geotech. Special Publ. 1181 (Part I): 1080–1090.
Omer, J. R., and A. Arbabi. 2015. “Evaluation of finite element, finite difference and elasticity methods for hypothetical raft foundations installed on layered strata.” Geotech. Geol. Eng. 33 (4): 1129–1140. https://doi.org/10.1007/s10706-015-9867-7.
Partazian, P. 2016 “Finite element-based parametric analysis of mat foundations.” MS thesis, Dept. of Civil Engineering, American Univ. of Sharjah.
Ribeiro, D. B., and J. B. De Paiva. 2015. “An alternative BE-FE formulation for a raft resting on a finite soil layer.” Eng. Anal. Boundary Elem. 50 (Jan): 352–359. https://doi.org/10.1016/j.enganabound.2014.09.016.
Shihada, S., J. Hamad, and M. Alshorafa. 2012. “Suggested modifications of the conventional rigid method for mat foundation design.” Int. J. Emerging Technol. Adv. Eng. 2 (4): 418–428.
Showdhary, R. H., M. E. Raghunandan, and A. Muqtadir. 2012. “Study on the analysis of mat foundations using a different approach.” In Proc., 2nd Int. Conf. on Sustainable Design, Engineering and Construction. Reston, VA: ASCE.
Shukla, S. 1984. “Simplified method for design of mats on elastic foundations.” J. Am. Concr. Inst. 81 (5): 469–475.
Tabsh, S. W., and A. R. Al-Shawa. 2005. “Effect of spread footing flexibility on structural response.” Pract. Period. Struct. Des. Constr. 10 (2): 109–114. https://doi.org/10.1061/(ASCE)1084-0680(2005)10:2(109).
Tabsh, S. W., and M. El-Emam. 2014. “Finite element-based parametric analysis of mat foundations.” In Vol. 1 of Proc., 8th European Conf. on Numerical Methods in Geotechnical Engineering, 693–698. Delft, Netherlands: A.A. Balkema.
Thangaraj, D., and K. Ilamparuthi. 2009. “Parametric study on the performance of raft foundation with interaction of frame.” Electron. J. Geotech. Eng. 15: 861–878.
Wang, B., J. Qiu, D. Zhao, X. Yang, and D. Shuai. 2009. “Analysis of raft foundation design based on considering influence of superstructure stiffness.” Global Geol. J. 12 (1): 28–31.
Wood, L. 1977. “The economic analysis of raft foundations.” Numer. Anal. Methods Geomech. 1 (4): 397–405. https://doi.org/10.1002/nag.1610010406.
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©2020 American Society of Civil Engineers.
History
Received: Apr 24, 2019
Accepted: Oct 29, 2019
Published online: Mar 3, 2020
Published in print: May 1, 2020
Discussion open until: Aug 3, 2020
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