Optimal Design of Reinforced Pad Foundation and Strip Foundation
Publication: International Journal of Geomechanics
Volume 18, Issue 9
Abstract
This article presents an optimal design for reinforced pad and strip foundations, based on multiparametric, mixed-integer, and nonlinear programming (MINLP) optimizations. For this purpose, a MINLP optimization model STRIPPAD was developed. The model is based on an accurate objective function of the structure production costs. It was subjected to design, resistance, stiffness, and settlement constraints that satisfy the requirements of the ultimate and serviceability limit states of the Eurocode specifications and recommendations for design and analysis of earth structures using geosynthetic reinforcements. The optimal design of the reinforced pad foundation and strip foundation was investigated for design parameters that have a significant impact on structure costs. A series of MINLP optimizations was done over a wide range of various parameters: different vertical loads on the strip foundation, alternatives of discrete cross sections, and different friction angles of the soil. Based on these results, an optimal design for reinforced pad and strip foundations was developed. Economically suitable foundation types for various soil and load conditions were found.
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References
Brook, A., D. Kendrick, and A. Meeraus. 1988. “GAMS, a user’s guide.” ACM SIGNUM Newsl. 23 (3–4): 10–11. https://doi.org/10.1145/58859.58863.
CEN (European Committee for Standardization). 2005. Eurocode 7: Geotechnical design—Part 1: General rules. EN1997-1-2005. Brussels, Belgium: CEN.
Demiröz, A., and Ö. Tan. 2010. “An experimental study for settlement of strip foundation on geogrid-reinforced sand.” Sci. Res. Essays 5 (21): 3306–3312.
Duran, M. A., and I. E. Grossmann. 1986. “An outer-approximation algorithm for a class of mixed-integer nonlinear programs.” Math. Program. 36 (3): 307–339. https://doi.org/10.1007/BF02592064.
El Sawwaf, M. A. 2007. “Behavior of strip footing on geogrid-reinforced sand over a soft clay slope.” Geotext. Geomembr. 25 (1): 50–60. https://doi.org/10.1016/j.geotexmem.2006.06.001.
Geotechnik. 2011. Recommendations for design and analysis of earth structures using geosynthetic reinforcements—EBGEO. 2nd ed. Berlin: Ernst & Sohn.
Gong, W., S. Khoshnevisan, and C. H. Juang. 2014. “Gradient-based design robustness measure for robust geotechnical design.” Can. Geotech. J. 51 (11): 1331–1342. https://doi.org/10.1139/cgj-2013-0428.
Hui, L., C. Zhuoyi, and Z. Mingji. 2015. “Genetic algorithm application on optimal design of strip foundation.” Open Cybern. Syst. J. 9 (1): 335–339. https://doi.org/10.2174/1874110X01509010335.
Jelušič, P., and B. Žlender. 2017. “Optimal design of piled embankments with basal reinforcement.” Geosynth. Int. 24 (2): 150–163. https://doi.org/10.1680/jgein.17.00039.
Lackner, C., D. T. Bergado, and S. Semprich. 2013. “Prestressed reinforced soil by geosynthetics—Concept and experimental investigations.” Geotext. Geomembr. 37: 109–123. https://doi.org/10.1016/j.geotexmem.2013.02.002.
Patra, C. R., B. M. Das, and C. Atalar. 2005. “Bearing capacity of embedded strip foundation on geogrid-reinforced sand.” Geotext. Geomembr. 23 (5): 454–462. https://doi.org/10.1016/j.geotexmem.2005.02.001.
Schmertmann, J. H., J. P. Hartmann, and P. R. Brown. 1978. “Improved strain influence factor diagrams.” J. Geotech. Eng. 104 (8): 1131–1135.
Sharma, R., Q. Chen, M. Abu-Farsakh, and S. Yoon. 2009. “Analytical modeling of geogrid reinforced soil foundation.” Geotext. Geomembr. 27 (1): 63–72. https://doi.org/10.1016/j.geotexmem.2008.07.002.
Sovinc, I. 1961. “Stresses and displacements in a limited layer of uniform thickness, resting on a rigid base, and subjected to uniformly distributed flexible load of rectangular shape.” In Proc., 5th Int. Conf. on Soil Mechanics and Foundation Engineering (ICSMFE), 823–827. Paris: ICSMFE Committee.
Viswanathan, J., and I. E. Grossmann. 1990. “A combined penalty function and outer-approximation method for MINLP optimization.” Comput. Chem. Eng. 14 (7): 769–782. https://doi.org/10.1016/0098-1354(90)87085-4.
Wang, Y., and F. H. Kulhawy. 2008. “Economic design optimization of foundations.” J. Geotech. Geoenviron. Eng. 134 (8): 1097–1105. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:8(1097).
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Published In
International Journal of Geomechanics
Volume 18 • Issue 9 • September 2018
Copyright
© 2018 American Society of Civil Engineers.
History
Received: Oct 27, 2017
Accepted: Apr 12, 2018
Published online: Jun 26, 2018
Published in print: Sep 1, 2018
Discussion open until: Nov 26, 2018
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