Abstract
The paper describes a mechanical model for estimating the flexural response of a strip footing, supporting a column (imposing a concentrated load), resting on a compacted granular bed overlying a reinforcement layer for example, geogrids, geomats etc. below which lies a loose soil deposit. The footing is idealized as a beam and the reinforcing element is assumed to have finite bending stiffness and negligible frictional resistance. The upper and lower soil layers are idealized by a series of linear and discrete springs (Winkler springs) of different stiffness values. To find the response of such a model the governing differential equations have been derived and expressed in a nondimensional form. A closed form analytical solution of the same has been obtained subjected to appropriate boundary conditions. Using the present approach the resulting solution for a degenerated case of a long beam is found to be identical to the same of Hetenyi (1946, Beams on elastic foundations, University of Michigan press, Ann Arbor, MI). Parametric studies reveal that the ratio of flexural rigidity of upper and lower beam and the ratio of stiffness of the upper and lower soil layers affect significantly the response of the foundation.
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References
B.M. Das (1999) Principles of foundation engineering EditionNumber4 PWS Publishing USA
A. Fakher C.J.F.P. Jones (2001) ArticleTitleWhen the bending stiffness of geosynthetic reinforcement is important Geosynthetics International 8 IssueID5 445–460
M.M. Filonenko-Borodich (1940) ArticleTitleSome approximate theories of the elastic foundation Uch. Zap. Mosk. Gos. Univ. Mekh. 46 3–18
Ghosh, C. (1991) Modelling and analysis of reinforced foundation beds Ph.D. Thesis, Department of Civil Engineering, Indian Institute of Technology, Kanpur, India.
M. Hetenyi (1946) Beams on elastic foundations University of Michigan Press Ann Arbor MI
A.D. Kerr (1964) ArticleTitleElastic and viscoelastic foundation models Journal of Applied Mechanics Division, ASME 31 491–498
A.D. Kerr (1965) ArticleTitleA study of a new foundation model Acta Mechanica. 1 135–147 Occurrence Handle10.1007/BF01174308
M.R. Madhav H.B. Poorooshasb (1988) ArticleTitleA new model for geosynthetic-reinforced soil Computers and Geotechnics 6 277–290 Occurrence Handle10.1016/0266-352X(88)90070-5
H. Matlock L.C. Reese (1960) ArticleTitleGeneralized solutions for laterally loaded piles Journal of the Soil Mechanics and Foundations Division, ASCE 86 IssueID5 63–91
Pasternak, P.L. (1954) On a new method of analysis of an elastic foundation by means of two foundation constants, Gosudarstvennoe Izdatelstro Liberaturi po Stroitelstvui Arkhitekture Moscow (in Russian).
W.J. Rhines (1969) ArticleTitleElastic-plastic foundation model for punch shear failure Journal of Soil Mechanics and Foundations Division, ASCE 95 IssueID3 819–828
S.K. Shukla S. Chandra (1994a) ArticleTitleThe effect of prestressing on the settlement characteristics of geosynthetic-reinforced soil Geotextiles and Geomembranes 13 531–543 Occurrence Handle10.1016/0266-1144(94)90017-5
S.K. Shukla S. Chandra (1994b) ArticleTitleA study of settlement response of a geosynthetic-reinforced compressible granular fill-soft soil system Geotextiles and Geomembranes 13 627–639 Occurrence Handle10.1016/0266-1144(94)90013-2
S.K. Shukla S. Chandra (1994c) ArticleTitleA generalized mechanical model for geosynthetic-reinforced foundation soil Geotextiles and Geomembranes 13 813–825 Occurrence Handle10.1016/0266-1144(94)00018-9
Winkler, E. (1867) In Die Lehre von der Elastizitat und Festigkeit, Domonicus, Prague, p. 182.
J.H. Yin (1997) ArticleTitleModelling geosynthetic-reinforced granular fill over soft soil Geosynthetic International 4 IssueID2 165–185
J.H. Yin (2000) ArticleTitleComparative modeling study on reinforced beam on elastic foundation Journal of Geotechnical and Geoenvironmental Engineering Division, ASCE 26 IssueID3 265–271
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Maheshwari, P., Basudhar, P.K. & Chandra, S. Modeling of Beams on Reinforced Granular Beds. Geotech Geol Eng 24, 313–324 (2006). https://doi.org/10.1007/s10706-004-7548-z
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DOI: https://doi.org/10.1007/s10706-004-7548-z