VARIABLE METHOD FOR SEARCHING THE RATIONAL DESIGN OF BACK RETAINING WALL SURFACE

  • R. Khalife O.M. Beketov National University of Urban Economy in Kharkiv
  • N. Melish O.M. Beketov National University of Urban Economy in Kharkiv
Keywords: Retaining wall, curvilinear surface, approximation, variational approach

Abstract

The article presents the formulation and implementation of the variable task of finding a rational outline of the back face of a retaining wall. In the framework of the Coulomb theory, an analysis is made of a system consisting of a retaining structure and soil pressing on it for the possibility of formulating a rational design problem. The simplest example shows the possibility of formulating the problem of finding the rational geometry of the back face of a retaining wall within a given horizontal projection. The substantiation of the operation of the energy method of rationalization in solving the problem under consideration is given. The essence of the proposed method for finding the rational geometry of the back face of the retaining wall is to approximate the curved generatrix of the back face of the retaining wall with a broken line. For each broken section, key dependencies are derived for its effect on the nature of the stress-strain state of the structure, in particular, in the formulation under consideration, on the magnitude of the bending moment in pinching. Key dependencies are derived and an algorithm for solving the problem is described. An illustrative example shows that, given the characteristics of a loose granular moment, the moment of pinching can actually be described through a combination of the angles of inclination of each of the sections, and in general the form of such combinations is infinite. The problem is reduced to searching for such a combination αi, in which the introduced criterion (in the formulation under consideration, the moment in pinching) takes its lower value. The implementation of the approach is demonstrated by a numerical example.

The proposed approach allows a variable method to determine the surface configuration of the retaining wall, rational from the standpoint of the accepted criterion. The example given in the work clearly proves the correctness of the statement of the problem and its solution. The operation of this method is advisable in the computing information environment. In particular, the practical application of the presented approach is possible by formulating and solving the linear programming problem by the simplex method.

Author Biographies

R. Khalife, O.M. Beketov National University of Urban Economy in Kharkiv

postgraduate of Departament

N. Melish, O.M. Beketov National University of Urban Economy in Kharkiv

student

References

Klein, G.K. (1964) Calculation of retaining walls. M.: Higher School, 196.

Shmukler, V.S., Feirusha, S.H., Kalmykov, О., Khalife, R. (n.d.) About the possibility of controlling the nature of the seismic effect of bulky material on lateral surfaces. ZANCO Journal of Pure and Applied Sciences. Retrieved from https://zancojournals.su.edu.krd/index.php/JPAS/article/download/3118/1927

Babaev, V.N., Shmukler, V.S., Feirushah, S.H., Kalmykov, O.A., Zinchenko, V.M. (2012) Rational design of retaining walls BUITEMS “Journal of applied and emerging sciences“, 3, 1, 94-121.

Shmukler, V.S., Klimov, O.A., Burak, N.P. (2008) Lightweight-type frame systems - Kharkiv: Golden Pages, 336.

Kalmykov, О., Khalife, R., Grabowski, A. (2019) Search for rational contour of back surface of retaining wall. AIP Conference Proceedings.

Shmukler, V.S., Kalmykov, О.A. (2014) Search for optimal configurations of surfaces of structures loaded with bulk. Collection of scientific works of UkrDAZT, 149, 150-156.

Babaev, V.N., Shmukler, V.S., Feirushah, S.H., Kalmykov, O.A. (n.d.) Rational design of retaining walls. Journal of Applied and Emerging Sciences, 94-121. Retrieved from http://121.52.157.188/j/index.php/bj/article/viewFile/29/30/

Kalmykov, O.A. (n.d.) Retaining wall of rational outline. State Research Institute of Building Structures, State Enterprise. Retrieved from http://www.irbis-nbuv.gov.ua/cgi-bin/irbis_nbuv/cgiirbis_64.exe?C21COM=2&I21DBN=UJRN&P21DBN=UJRN&IMAGE_FILE_DOWNLOAD=1&Image_file_name=PDF/buko_2013_78(1)__35.pdf Вип – 78. сс. 232-239/ ВИП – 78. сс.. 232-239

Published
2020-04-03
How to Cite
KhalifeR., & MelishN. (2020). VARIABLE METHOD FOR SEARCHING THE RATIONAL DESIGN OF BACK RETAINING WALL SURFACE. Municipal Economy of Cities, 1(154), 172-177. Retrieved from https://khg.kname.edu.ua/index.php/khg/article/view/5550