Numerical Study of Modulus of Subgrade Reaction in Eccentrically Loaded Circular Footing Resting

Authors: Seyed Abolhasan Naeini, Mohammad Hossein Zade

Abstract:

This article is an attempt to present a numerically study of the behaviour of an eccentrically loaded circular footing resting on sand to determine ‎its ultimate bearing capacity. A surface circular footing of diameter 12 cm (D) was used as ‎shallow foundation. For this purpose, three dimensional models consist of foundation, and medium sandy soil was modelled by ABAQUS software. Bearing capacity of footing was evaluated and the ‎effects of the load eccentricity on bearing capacity, its settlement, and modulus of subgrade reaction were studied. Three different values of load eccentricity with equal space from inside the core on the core boundary and outside the core boundary, which were respectively e=0.75, 1.5, and 2.25 cm, were considered. The results show that by increasing the load eccentricity, the ultimate load and the ‎modulus of subgrade reaction decreased.

Keywords: Circular foundation, eccentric loading, sand, modulus of subgrade reaction.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1128235

References:

[1] Meyerhof GG. The bearing capacity of foundations under eccentric and inclined loads. Proceedings of the Conference on Soil Mechanics and Foundation Engineering, Zurich, Switzerland, pp. 440-453, 1953.
[2] Highter WH & Anders JC. Dimensioning footings subjected to eccentric loads. Journal of Geotechnical Engineering, ASCE, vol. 111, pp 659-663, 1985.
[3] Michalowski RL & You L. Effective width rule in calculations of bearing capacity of shallow footings. Computers and Geotechnics, vol. 23, pp 237-253, 1998.
[4] Patra CR, Das BM, Bhoi M & Shin EC. Eccentrically loaded strip foundation on geogrid-reinforced sand. Geotextile and Geomembranes, vol. 24, pp 354-359, 2006.
[5] Saran S, Kumar S & Garg K. Analysis of square and rectangular footings subjected to eccentric-inclined load on reinforced sand. Geotechnical and Geological Engineering, Springer, vol. 25, pp 123-137, 2007.
[6] Sawwaf M. Experimental and numerical study of eccentrically loaded strip footings resting on reinforced sand. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, vol. 135, pp 1509-1518, 2009.
[7] Sadoglo E, Cure E, Moroglu B & Uzuner B. Ultimate loads for eccentrically loaded model shallow strip footings on geotextile- reinforced sand. Geotextiles and Geomembranes, vol. 27, pp 176-182, 2009.
[8] Mahiyar H & Patel AN. Analysis of angle shaped footing under eccentric loading. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, vol. 126, pp 1151-1156, 2000.
[9] Sawwaf M & Nazir A. Behaviour of eccentrically loaded small scale ring footing resting on reinforced layered soil. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, vol. 138, pp 376-384, 2012.
[10] Boushehrian J & Hataf N. Experimental and numerical investigation of the bearing capacity of model circular and ring footing on reinforced sand. Geotextiles and Geomembranes, vol. 21, pp 241-256, 2003.
[11] Basudhar PK, Saha S, Deb K. Circular footings resting on geotextile-reinforced sand bed. Geotextiles and Geomembranes 2007;25(6):377e84
[12] ABAQUS, User’s manual (ver. 6.12), Pawtucket, (RI): Hibbit, Karlsson & Sorensen (2004).
[13] Chamecki C. Structural rigidity in calculating settlements. JSoil Mech Found Div ASCE 1956;82(1):1–19.
[14] Morris D. Interaction of continuous frames and soil media. JStruct Eng Div ASCE 1966;(5):13–43.
[15] Larnach WJ. Computation of settlement of building frame. Civ Eng Publ Works Rev 1970; 65:1040–4.
[16] Lee IK, Brown PT. Structures–foundation interaction analysis. JStruct Eng Div ASCE 1972;(11):2413–31.
[17] Bhattacharya G, Dutta SC, Roy R, Dutta S, Roy TK. A simple approach for frame–soil interaction analysis. In: IGC: The Millenium Conference, Indian Institute of Technology, Powai, Mumbai, 2000. p. 119–22.
[18] Dutta SC, Maiti A, Moitra D. Effect of soil–structure interaction on column moment of building frames. JInstEng (India) 1999;(May):1–7.
[19] Kurian NP, Manojkumar NG. A new continuous model for soil–structure interaction. JStruct Eng 2001;27(4):269– 76.
[20] Vinod P, Bhaskar AB, Sreehari S. Behavior of a square model footing on loose sand reinforced with braided coir rope. Geotextiles and Geomembranes 2009;27(6): 464e74.
[21] Jeong, S.G. Seo, Y.K. Choi, K.S "Design Charts of Piled Raft Foundations on Soft Clay" Proceedings of the 13th International Offshore and Polar Engineering Conference: Honolulu, Hawaii, USA.
[22] Bowles JE (1997) Foundation Analysis and Design, 5nd edn, The McGraw-Hill Company, Inc.
[23] Vesic AS. Analysis of ultimate loads of shallow foundations. Journal of Soil Mechanics and Foundation Engineering Division, ASCE 1973;99(1):45e55.