Discrete model of the pile foundation

The solid pile foundation is modeled by elastic vertical bars distributed over the area of the base in a uniform grid. It was assumed that the body of the structure is rigid, its weight is offset from the geometric center. The solution of statically indeterminate systems was obtained by the force me...

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Main Author: M.N. Kirsanov
Format: Article
Language:English
Published: Peter the Great St. Petersburg Polytechnic University 2015-04-01
Series:Инженерно-строительный журнал
Subjects:
Online Access:http://engstroy.spb.ru/eng/index_2015_03/01.html
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author M.N. Kirsanov
author_facet M.N. Kirsanov
author_sort M.N. Kirsanov
collection DOAJ
description The solid pile foundation is modeled by elastic vertical bars distributed over the area of the base in a uniform grid. It was assumed that the body of the structure is rigid, its weight is offset from the geometric center. The solution of statically indeterminate systems was obtained by the force method with the help of the Maxwell-Mohr formula. The method of induction made it possible to find a solution for an arbitrary number of piles. The dimensions of the foundation, the weight of the structure, the elastic characteristics of the piles (generalized stiffness), the number of the nodes in the grid of piles on both sides, the center of gravity coordinates were all the parameters of the solution. The computer algebra system Maple generated an analytical expression for the deformation and rotation angles of the foundation. The established dependencies exhibited limit (on the number of the piles) properties, allowing to estimate the deformation characteristics of the foundation and to optimize its design.
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spelling doaj.art-82ab309926ad4070b76a2475e49a75422022-12-22T00:33:35ZengPeter the Great St. Petersburg Polytechnic UniversityИнженерно-строительный журнал2071-47262071-03052015-04-015533910.5862/MCE.55.1Discrete model of the pile foundationM.N. Kirsanov0National Research University "Moscow Power Engineering Institute"The solid pile foundation is modeled by elastic vertical bars distributed over the area of the base in a uniform grid. It was assumed that the body of the structure is rigid, its weight is offset from the geometric center. The solution of statically indeterminate systems was obtained by the force method with the help of the Maxwell-Mohr formula. The method of induction made it possible to find a solution for an arbitrary number of piles. The dimensions of the foundation, the weight of the structure, the elastic characteristics of the piles (generalized stiffness), the number of the nodes in the grid of piles on both sides, the center of gravity coordinates were all the parameters of the solution. The computer algebra system Maple generated an analytical expression for the deformation and rotation angles of the foundation. The established dependencies exhibited limit (on the number of the piles) properties, allowing to estimate the deformation characteristics of the foundation and to optimize its design.http://engstroy.spb.ru/eng/index_2015_03/01.htmlfoundationpilessedimentexact solutionMaple
spellingShingle M.N. Kirsanov
Discrete model of the pile foundation
Инженерно-строительный журнал
foundation
piles
sediment
exact solution
Maple
title Discrete model of the pile foundation
title_full Discrete model of the pile foundation
title_fullStr Discrete model of the pile foundation
title_full_unstemmed Discrete model of the pile foundation
title_short Discrete model of the pile foundation
title_sort discrete model of the pile foundation
topic foundation
piles
sediment
exact solution
Maple
url http://engstroy.spb.ru/eng/index_2015_03/01.html
work_keys_str_mv AT mnkirsanov discretemodelofthepilefoundation