The problem of the limiting resistance of soil to the transverse displacement of a shallow pipeline, which is directed at an arbitrary angle to the horizon, is discussed. The problem is solved by the variational method on the basis of which slip lines in the form of logarithmic spirals, which limit the body of soil uplift onto the surface. Recommendations for practical accounting of the indicated limiting resistance in the form of a two-term formula, tables, and diagrams for calculation of its coefficients are given for the case of a horizontal loading. This solution can, however, be used to determine the bearing capacity of plate anchors used in port construction. The problem of the limiting resistance of a soil to the transverse displacement of a pipe (anchor, pile) in the case of deep embedment, when there is no uplift onto the surface, but “cut through,” is examined separately.
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References
L. A. Dimov and E. M. Bogushevskaya, Displacements of Underground Structures Due to Horizontal Loadings [in Russian], Ukhta (2008).
G. N. Smirnov, B. F. Goryunov, E. F. Kurlovich, S. N. Levachev, and A. G. Sidorova, Ports and Port Structures [in Russian], Stroiizdat, Moscow (1979).
K. Terzaghi, Theory of Soil Mechanics [in Russian], Gosstroiizdat, Moscow (1961).
J. Kopacsy, Distribution des contraintes a la rupture, forme de la surface de glissement et hauteur heorique des talus, Proceedings of the Fifth International Conference on Soil Mechanics and Foundation Engineering, Vol. 2, Paris (1961).
Yu. I. Solov'ev, “Variational method for determination of the bearing capacity of the beds of structures,” Izv. Vuzov. Stroit. Arkhit., No. 7 (1970).
M. Garber and R. Baker, “Bearing capacity by variational method,” J. Geotechn. Eng. Div., Proc. Am. Soc. Civil Eng., 103, No. GT11 (1977).
V. G. Fedorovskii, “Variational method of calculating the bearing capacity of the bed of a strip foundation subject to an inclined load,” Tr. Nauchno-issled. Inst. Osn.Podzemnykh Sooruzh., No. 84, 111–121 (1985).
L. Ya. Tslaf, Calculus of Variations and Integral Equations [in Russian], Nauka, Moscow (1970).
L. M. Kachanov, Fundamentals of the Theory of Plasticity [in Russian], Nauka, Moscow (1969).
V. G. Fedorovskii, “Ketter equation for soils with anisotropy and nonuniformity of strength characteristics,” Tr. Nauchno-issled. Inst. Osn.Podzemnykh Sooruzh., No. 88 (1987).
V. G. Fedorovskii, S. N. Levachev, S. V. Kurillo, and Yu. M. Kolesnikov, Piles in Hydrotechnical Construction [in Russian], Izdatel'stvo ASV, Moscow (2003).
K. Terzaghi, Structural Soil Mechanics [in Russian], Gosstroiizdat, Moscow-Leningrad (1933).
V. A. Hansen, Theory of Plasticity for Ideal Frictionless Materials, Teknisk Forlag, Copenhagen (1965).
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Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 3, pp. 2–9, May–June, 2009.
An erratum to this article can be found at http://dx.doi.org/10.1007/s11204-009-9057-9
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Fedorovskii, V.G. Limiting soil resistance to the transverse displacement of a pipeline. Soil Mech Found Eng 46, 81–91 (2009). https://doi.org/10.1007/s11204-009-9049-9
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DOI: https://doi.org/10.1007/s11204-009-9049-9