Numerical study of the convergence of methods for determining bed coefficients under different geological conditions of the base
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Abstract
Despite the significant development of numerical modeling of the joint work of above-ground structures with the ground base, today the most popular in the community of design engineers is the calculation model of the slab on an elastic basis.
This is primarily due to the simplicity of the implementation of such a model and the possibility of a comprehensive calculation of the base-foundation system.
The key step in calculating the model of the slab on an elastic basis is to determine the coefficients of flexibility of the base.
In this paper, with the help of software and computer system LIRA CAD 2016 conducted a study of methods for determining the stiffness coefficients of the bed under different variants of soil conditions.
The study was implemented by numerical analysis of the characteristics of the stress-strain state (the amount of subsidence, reactive pressure and force) in a square in terms of evenly loaded foundation slab under different engineering and geological conditions of the construction site.
Considered:
1) homogeneous in plan base, composed of a finite number of linearly deformed layers of constant thickness;
2) homogeneous in plan base, composed of layers of constant thickness, one of which is a loess subsidence;
3) inhomogeneous base, composed of alternating layers of cohesive and incoherent soils, one of which is not constant in thickness.
The convergence of the absolute values of the controlled parameters obtained for the model with two stiffness coefficients (Pasternak model), which for multilayer soils are determined by the values of the modulus of deformation and Poisson's ratio averaged within the depth of compressible thick-ness and for the model with one variable in terms stiffness coefficient (Gorbunov-Posadov model).
The results of the study show that the scope of the two-parameter Pasternak model (which is more correct than the one-parameter Gorbunov-Posadov model) is limited to a homogeneous single- or multilayer soil base, provided that the soil layers are of constant thickness. Instead, the Gorbunov-Posadov model allows to calculate inhomogeneous bases and soils with special properties (sieving). However, this model does not allow to take into account the spatial work of the soil and the mutual influence of load areas.
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References
Коляскина С.А. Исследование влияния вариантов расчета грунтового основания и методов расчета коэффициентов посте-ли на напряженно-деформированное со-стояние здания / С.А. Коляскина, П.И. Егоров // Ученые заметки ТОГУ. – 2014. – т. 5. №2. – С. 21-34.
Федоров Д.А. Численное исследование задачи совместного расчета конструкций с основаниями по реализациям в вычисли-тельных комплексах SCAD и «ЛИРА» / Д.А. Федоров, К.Г. Мокляк // Известия высших учебных заведений. Строитель-ство. – 2011. – №12. – С. 97-104.
Кожанов Ю.А. Анализ напряженно-деформированного состояния железобе-тонной конструкции с учетом основания / Ю.А. Кожанов, А.Г. Ефименко, В. А. За-гильский,А. П. Якубенко // Вiсник При-днiпровської державної академiї будiв-ництва та архiтектури. – 2013. – №8 (185). – С. 42-47.
Жупаненко І.В. Чисельний аналіз методів розрахунку ґрунтової основи та методів визначення коефіцієнтів постелі. / І.В. Жу-паненко // Основи і фундаменти: Міжвідомчий науково-технічний збірник. – К.: КНУБА. – 2020. – Вип. 41. – С. 64-71.
Пастернак П.Л. Основы нового метода расчета фундаментов на упругом основа-нии при помощи двух коэффициентов по-стели. – М.: Гос. изд-во литературы по строительству и архитектуре, 1954. – 56 с.
Горбунов-Посадов М.И. Расчет кон-струкций на упругом основании/ М.И. Горбунов - Посадов, Т.А. Маликова, В. И. Соломин. – М.:Стройиздат, 1984. – 679с.
Боговис В.Е. ЛИРА 9.4. Примеры расчета и проектирования: учебн. пособие / В.Е. Боговис и др. – Киев: ФАКТ, 2008. 280 с
Kolyasina S.A., Egorov P.I. (2014). Issledovanie vliyaniya variantov rascheta gruntovogo osnovaniya i metodov rascheta koehfficientov posteli na napryazhenno-deformirovannoe sostoyanie zdaniya [Study of calculation options influence of a ground base and methods for calculation of sub-grade coefficients to deflected mode of a building]. Uchenye zametki TOGU, V. 5. №2, 21-34. (in Russian).
Fedorov D.A., Moklyak K.G. (2011). Chislennoe issledovanie zadachi sovmestnogo rascheta konstrukcij s osnovaniyami po realizaciyam v vychislitel'-nykh kompleksakh SCAD i «LIRA» [Nu-merical research of problem united calcula-tion constructions with foundation by reali-zations in computing systens SCAD and LIRA]. Izvestiya vysshikh uchebnykh zavedenij. Stroitel'stvo, 12, 97-104. (in Russian).
Kozhanov Y.A., Efimenko A.G., Zagil’skiy V.A., Yakubenko A. P. (2013) Analiz napryazhenno-deformirovannogo sostoyaniya zhelezobetonnoj konstrukcii s uchetom osnovaniya [Analysis of the stress-strain state of the reinforced concrete struc-ture with the subgrade]. Visnik Prid-niprovs'koї derzhavnoї akademiї budivnictva ta arkhitekturi, 8(185), 42-47. (in Russian).
Zhupanenko I.P. (2020). Chyselnyi analiz metodiv rozrakhunku gruntovoi osnovy ta metodiv vyznachennia koefitsiientiv posteli [Numerical analysis of methods for calculating the soil base and methods for determining bed coef-ficients]. Osnovu i fundamenty: Mizhvidomchyj naukovo-tekhnichnyj zbirnyk. Kyiv: KNUBA, 41, 64-71 (in Ukrainian).
Pasternak P.L. (1954) Osnovy novogo metoda rascheta fundamentov na uprugom osnovanii pri pomoshchi dvukh koehffi-cientov posteli [Fundamentals of a new method of calculating foundations on an elastic base using two bed coefficients],56 . (in Russian).
Gorbunov-Posadov M.I., Malikova T.A., Solomin V.I (1984). Raschet konstrukcij na uprugom osnovanii [Calculation of structures on an elastic base], 679. (in Russian).
Bogovis V.E. (2008) LIRA 9.4. Primery rascheta i proektirovaniya: uchebnoe posobie [LIRA 9.4. Examples of calculation and design], Kiev: FAKT, 280. (in Russian).