A Mathematical Analysis of the Stress Statement of the Soil Basis under Complex Loading near the Retaining Wall

Author:

Ter-Martirosyan Armen Z.1ORCID,Vanina Yulia V.1

Affiliation:

1. Department of Soil Mechanics and Geotechnical Engineering, National Research Moscow State Civil Engineering University, 26, Yaroslavskoye Shosse, 129337 Moscow, Russia

Abstract

The present paper describes and provides an analytical solution to the problem of the stress state of a limited-thickness soil basis resting on an incompressible soil base, under the action of two distributed loads of different intensities near the retaining wall of an excavation pit. It is proposed that the method for identifying components of the stress statement within the framework of the engineering problem in question is improved, and the solution is based on the trigonometric Ribiere–Fileon series. The results obtained by the authors allow for an evaluation of the supplementary effect on a retaining wall produced by loads from heavy machinery and materials stored near this retaining wall. These findings are useful for the design of underground constructions of buildings and structures. Theoretical results are provided together with those of numerical experiments to validate the research reliability.

Funder

Ministry of Science and Higher Education of Russian Federation

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference34 articles.

1. Sur la répartition des pressions dans un solide rectangulaire chargé transversalement;Flamant;Comptes Rendu. Acad. Sci. Paris,1892

2. Gorbunov-Posadov, M.I., Shekhter, O.Y., and Kofman, V.A. (1954). Works of the Research Institute of Foundation Bases and Foundations (Trudy NII Osnovanij i Fundamentov), Gostrojizdat. (In Russian).

3. Taking account of non-uniformity of discontinuous strains and other mechanical properties of soils in the analysis of structures on solid foundations;Klein;Proc. MISI,1956

4. Tsytovich, N.A. (1963). Soil mechanics (Mekhanika gruntov), Strojizdat. (In Russian).

5. About an infinite long beam on elastic soil loaded with force (K voprosu o beskonechno dlinnoj balke na uprugoj pochve, nagruzhennoj siloj);Gersevanov;Hydrotech. Constr. (Gidrotekhnicheskoe Stroit.),1935

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