Maheshwari, Priti Analysis of beams on tensionless reinforced granular fill-soil system. (English) Zbl 1273.74279 Int. J. Numer. Anal. Methods Geomech. 32, No. 12, 1479-1494 (2008). Summary: In this paper, a beam subjected to end concentrated loads has been modeled and analyzed to estimate its flexural response. The beam has been assumed to rest on reinforced earth beds with reinforcing elements having some finite bending stiffness. The reinforcing elements have been idealized as beams with smooth surface characteristics. The foundation system has been assumed to react only in compression (tensionless foundation), i.e. the separation between the upper beam and the ground surface has been taken into consideration. Winkler springs of different stiffnesses have been used to idealize the upper dense and lower poor soils. As the analysis considers the separation between the upper beam and the soil, the weight of the upper beam has been taken into account. The governing differential equations have been derived and presented in a non-dimensional form. These equations have been solved using finite difference method Scholarpedia Wikipedia with the help of appropriate boundary and continuity conditions. The response of the foundation system has been compared with the case when the beam is in perfect contact with the ground surface. The parametric study shows that the response of the model is greatly affected by the length ratio of beams, ratio of stiffness of upper and lower soil layers, ratio of flexural rigidity of upper and lower beams and weight of the upper foundation beam. Cited in 1 Document MSC: 74L10 Soil and rock mechanics 74K10 Rods (beams, columns, shafts, arches, rings, etc.) 74E20 Granularity Keywords:geosynthetics; ground improvement; tensionless foundation; Winkler foundation × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Mechanics of Cohesive-frictional Materials 10825010 10991484 2000 5 8 [2] Madhav, Modified Pasternak model for reinforced soil, International Journal of Mathematical Modelling 12 (12) pp 1505– (1989) [3] Shukla, A generalized mechanical model for geosynthetic-reinforced foundation soil, Geotextiles and Geomembranes 13 pp 813– (1994) [4] Yin, Modelling geosynthetic-reinforced granular fill over soft soil, Geosynthetic International 4 (2) pp 165– (1997) · doi:10.1680/gein.4.0092 [5] Maheshwari, Analysis of beams on reinforced granular beds, Geosynthetics International 11 (6) pp 470– (2004) [6] Rao, Onset of separation between a beam and tensionless foundation due to moving loads, Journal of Applied Mechanics Division 41 (1) pp 303– (1974) · Zbl 0295.73048 · doi:10.1115/1.3423257 [7] Torby, Deflection results from moving loads on a beam that reacts upon an elastic foundation reacting in compression only, Journal of Applied Mechanics Division 42 (3) pp 738– (1975) · doi:10.1115/1.3423677 [8] Raymond, Reinforced ballast behaviour subjected to repeated load, Geotextiles and Geomembranes 20 pp 39– (2000) [9] Maheshwari, The effect of prestressing force and interfacial friction on the settlement characteristics of beams on reinforced granular beds, Indian Geotechnical Journal 35 (3) pp 283– (2005) [10] Hetenyi, Beams on Elastic Foundations (1946) [11] Matlock, Generalized solutions for laterally loaded piles, Journal of the Soil Mechanics and Foundations Division 86 (SM 5) pp 63– (1960) [12] Shahu, A rational method for design of railroad track foundation, Soils and Foundations 40 (6) pp 1– (2000) · doi:10.3208/sandf.40.6_1 [13] Das, Principles of Foundation Engineering (1999) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.