EXPERIMENTAL-THEORETICAL CALCULATION OF THE STRESS-DEFORMED STATE OF THE BAR ON THE ELASTIC BASIS

Any strip foundation, and sometimes a slab foundation can be consideredas a be a mon an elastic base. And if with calculation of a beam – the tape base problems practically do not a rise because loading on the tape base as a rule is evenly distributed, and means and the base be haves, a sabsolutelyrigid beam. Then when considering a section of the foundation with unevenlyapplied load, some problems may arise. Today there are many publications on studies of the use of beams with an elastic base in the field of construction and the application of the features of the method of calculating the stress-strain state in the field of design. As is known, from classical soil mechanics, when a load is applied to a flexible slab, its center gives a draft of 1.24-1.57 times greater than the edges. Note that this effect can be explained by the contour work of the base and its uneven stiffness in the central and peripheral zone of the slab foundation. It should be noted that today in most cases the method of BN Zhemochkin [6] is used as the basis for the analytical solution of the problem of the interaction of the beam with the elastic base, which combines an engineering approach and strict solutions of the theory of elasticity. According to research, the method is based on the replacement of the continuous problem of the interaction of the foundation beam with the soil base, discrete, with a limited number of calculated sections within the beam and approximation of the smooth reactive pressure curve stepped with a constant value within a single section. Such simplifications allow to calculate various engineering problems on interaction of beams and plates, including with difficult geometry with the set degree of accuracy, bypassing difficult differential and integral calculations.

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Contact interaction of prestressed annular punch and half-space

Reports of the National Academy of Sciences of Ukraine ◽

10.15407/dopovidi2020.11.024 ◽

2020 ◽

pp. 24-30

Author(s):

S.Yu. Babich ◽

◽

N.O. Yaretska ◽

Keyword(s):

Half Space ◽

Contact Interaction ◽

Elastic Half Space ◽

Theory Of Elasticity ◽

Natural State ◽

Small Perturbations ◽

Linearized Theory Of Elasticity ◽

Annular Punch ◽

Linearized Theory ◽

Deformed State

The article is devoted to the task of contact interaction of the pressure of a pre-stressed cylindrical annular punch on the half-space with initial (residual) stresses without friction. It is solved for the case of unequal roots of the characteristic equation. In general, the research was carried out for the theory of great initial (ultimate) deformations and two variants of the theory of small initial ones within the framework of linearized theory of elasticity with the elastic potential having any structure. It is assumed that the initial states of the elastic annular stamp and the elastic half-space remain homogeneous and equal. The study is carried out in the coordinates of the initial deformed state, which are interrelated with Lagrange coordinates (natural state). In addition, the influence of the annular stamp causes small perturbations of the basic elastic deformed state. It is assumed that the elastic annular stamp and the elastic half-space are made of different isotropic, transversal-isotropic or composite materials.

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Certain two-dimensional mixed boundary-value problems for wedge-shaped regions and dual integral equations

Proceedings of the Edinburgh Mathematical Society ◽

10.1017/s0013091500009019 ◽

1965 ◽

Vol 14 (4) ◽

pp. 321-332 ◽

Cited By ~ 4

Author(s):

R. P. Srivastav

Keyword(s):

Mixed Boundary ◽

Soil Mechanics ◽

Boundary Value ◽

Mixed Boundary Conditions ◽

Difficult Problem ◽

Theory Of Elasticity ◽

Dual Integral Equations ◽

Elasticity Problems ◽

Image Position ◽

Harmonic Equation

Finding the distribution of stress in earth dams containing cracks is an outstanding problem of soil mechanics. Even the simplest mathematical model, viz., that of a wedge containing a plane crack which is symmetrically situated along the bisector plane of the angle of the wedge, with the plane strain assumption of the infinitesimal theory of elasticity, presents a difficult problem of solving the bi-harmonic equation subject to mixed boundary conditions. While elasticity problems related to wedge-shaped bodies have been investigated, it appears little attention has been paid to the mixed boundary-value problems.As a first step towards the solution of the mixed boundary value problem for the biharmonic equation, we discuss in this paper the solution of Laplace's equationfor wedge-shaped regions subject to mixed type of conditions on the boundary. If we assume that φ does not depend on z, the equation (1.1) is reduced to the equation

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EXPERIENCE OF CONSTRUCTION OF THE PLATE AND PILE FOUNDATION IN COMPLEX ENGINEERING AND GEOLOGICAL CONDITIONS

Bridges and tunnels Theory Research Practice ◽

10.15802/bttrp2021/233980 ◽

2021 ◽

pp. 78-84

Author(s):

V. D. PETRENKO ◽

V. I. KRYSAN ◽

V. V. KRYSAN ◽

I. S. CHEHODAIEV

Keyword(s):

New Technologies ◽

Residential Buildings ◽

Residential Building ◽

Construction Technology ◽

Large Area ◽

Soil Cement ◽

Geological Conditions ◽

Deformed State ◽

Complex Engineering ◽

Slab Foundation

Purpose. An urgent issue for the construction of foundations in complex engineering and geological conditions is the development of new technologies for the construction and monitoring of buildings built in deep beams. The purpose of this article is to development a technology for eliminating cavities with the help of vertical rigid soil-cement elements. Methodology. Using the experience gained in designing foundations in complex engineering and geological conditions, it was proposed to implement a new type of pile-slab foundation. It includes reinforced vertical hanging piles based on drilling and mixing technology and a slab foundation. An algorithm for monitoring houses built in deep gorges and pile-slab foundations using a system of wells and marks is also proposed. Findings. Scientific substantiation of construction technology in Solomianskyi District of Kyiv has been performed, where there are areas that, given the variable height and saturation of various wastes, are very difficult to use for construction, especially in the construction of houses with large area and height within 9 … 16 floors. The results of construction of a ten-storey frame-type residential building with an underground length of 102.5 m and a width of 14.0 m are presented. Originality. Based on the performed calculations, the dependences of the deformed state of the pile-slab foundations during the construction of high-rise residential buildings are obtained. It is proved that when applying the technology of creating vertical hanging piles, the values of maximum allowable deformations of the house and the foundation meet the requirements of current regulations of Ukraine. Practical value. The use of pile-slab foundation in complex engineering and geological conditions made it possible to develop the technology of construction of a ten-storey building.

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MEASURING THE SOIL COMPACTION ZONE AND PRESSURE OF DEFORMED SOIL ON UNDERGROUND OBJECTS WITH AN ASYMMETRIC CYLINDRICAL TIP

Automobile Transport ◽

10.30977/at.2219-8342.2021.48.0.93 ◽

2021 ◽

pp. 93-100

Author(s):

Vladimir Suponyev ◽

Nataliia Fidrovska ◽

Sergii Balesnyi ◽

Vitaliy Ragulin ◽

Svyatoslav Kravets

Keyword(s):

Mechanical Properties ◽

Power Plants ◽

Soil Mechanics ◽

Physical And Mechanical Properties ◽

Maximum Size ◽

Soil Mass ◽

Deep Soil ◽

Frontal Surface ◽

Before And After ◽

Deformed State

At trenchless laying of engineering communications in soil the method of static puncture has received wide application at formation of a well. Power plants that implement it have small dimensions, which make them more effective in laying distribution engineering networks in tight urban conditions. Problem. The main disadvantages of the method are the low accuracy of the trajectory and the significant stress in the soil after its compaction, which can lead to the destruction of adjacent underground objects. The first disadvantage is solved by controlling the trajectory of the soil-piercing working body. To solve the second question, it is necessary to know and take into account the specifics of the formation of communication cavities in the soil with an asymmetric tip, which is used for this purpose. Goal. The aim of the work is to establish the regularity of the process of soil puncture by the soil-piercing working body with an asymmetric tip in the form of a cylinder cut at an angle. Methodology. The approaches adopted in the work to solve this goal are based on the theories of deep soil cutting, scientific foundations of soil mechanics, their normative physical and mechanical properties and the law of conservation of soil mass before and after compaction. Results. The calculated dependences for determining the size of the destructive zone from the elastic-plastic deformation of the soil during its puncture by an asymmetric tip with a frontal surface in the form of a beveled cylinder and the pressure of the deformed soil on underground objects are obtained. It is established that the maximum size of the destruction zone and its pressure on underground objects will occur in solid sand. With a tip diameter of 0.3 m, their values can reach 5 m and 0.245 MPa, respectively. Originality. The obtained regularities of soil puncture by a working body with an asymmetric tip in the form of a beveled cylinder made it possible to get an idea of the influence of its deformed state on adjacent communications depending on geometric parameters of the tip and physical and mechanical properties of soils. Practical value. The obtained results can be recommended in the design and determination of technological capabilities of installations for static soil puncture.

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On the Nonlinear Effect of Joint Work of the Basis, Foundation Slab and the Structure

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.250-253.3591 ◽

2011 ◽

Vol 250-253 ◽

pp. 3591-3594 ◽

Cited By ~ 6

Author(s):

Vladimir I. Andreev ◽

Elena V. Barmenkova ◽

Alena V. Matveeva

Keyword(s):

Nonlinear Effect ◽

Nonlinear Dependence ◽

Joint Work ◽

Foundation Slab ◽

Internal Forces ◽

Deformed State ◽

Structure Height ◽

Elastic Basis

We have already considered the problem of joint work of structure, foundation slab and basis in [1, 2] (two-layer beam or slab on elastic basis). The distinctive paper is devoted to analysis of two-layer beam-strip on elastic basis, which corresponds to the problem of the plane deformed state. Nonlinear dependence of internal forces on structure height is presented.

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Calculation of the Vehicles Stress-Deformed State while Transporting the Liquid Cargo

Communications - Scientific letters of the University of Zilina ◽

10.26552/com.c.2021.1.b58-b64 ◽

2021 ◽

Vol 23 (1) ◽

pp. B58-B64

Author(s):

Oleksii Grevtsev ◽

Ninel Selivanova ◽

Pavlo Popovych ◽

Liubomyr Poberezhny ◽

Oksana Shevchuk ◽

...

Keyword(s):

Temperature Field ◽

Theory Of Elasticity ◽

Circular Plates ◽

Axisymmetric Loading ◽

Metal Structures ◽

Arbitrary Load ◽

Deformed State ◽

Cargo Transportation

To calculate the stress-deformed state of road-tanker metal structures during the liquid cargo transportation, the solution for bending axially and symmetrically loaded circular plates is proposed, which is based on the theory of elasticity approach. Dependencies for calculating stresses and displacements under arbitrary load law and support type are substantiated. Deformation of the support under the action of axisymmetric loading leads to appearance of a temperature field.

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Dynamics of a cylindrical shell with a collapsing elastic base under the action of a pressure wave

INCAS BULLETIN ◽

10.13111/2066-8201.2019.11.s.3 ◽

2019 ◽

Vol 11 (S) ◽

pp. 25-31 ◽

Cited By ~ 10

Author(s):

Boris A. ANTUFEV ◽

Olga V. EGOROVA ◽

Lev N. RABINSKIY

Keyword(s):

Cylindrical Shell ◽

Pressure Wave ◽

Rocket Engine ◽

Elastic Base ◽

The Body ◽

Powder Charge ◽

Solid Propellant Rocket ◽

Solid Propellant Rocket Engine ◽

Deformed State ◽

The Moment

In the dynamic and quasi-static statements, the issue of non-stationary deformation and stability of the solid propellant rocket engine (SPRE) was approximately solved. It is modeled by a thin, smooth cylindrical shell, inside of which, on a part of its length, there is an elastic base corresponding to a gradually burning powder charge. A pressure wave is moving along the outer surface of the body, simulated by the running load. The deformed state of the shell is considered axisymmetric and is determined on the basis of the moment theory of the shells. For diverse variants of mounting the ends of the shell in a closed form, expressions were obtained for the critical velocity of the load. Examples were considered.

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Simple solutions to the wave problem on the surface of a fluid with the linear hydroelastic model

Доклады Академии наук ◽

10.31857/s0869-56524874370-375 ◽

2019 ◽

Vol 487 (4) ◽

pp. 370-375

Author(s):

S. Yu. Dobrokhotov ◽

Kh. Kh. Il’yasov ◽

S. Ya. Sekerzh-Zen’kovich ◽

O. L. Tolstova

Keyword(s):

Half Space ◽

Water Waves ◽

Integral Formula ◽

Initial Perturbation ◽

Special Kind ◽

Water Layer ◽

Elastic Base ◽

Elastic Half Space ◽

Theory Of Elasticity ◽

Linear System Of Equations

The problem of generation of waves on the surface of a water layer placed on an elastic base is considered. It is assumed that the generating source is located inside the elastic half-space. The Podyapolskii approach is used which is based on study of the solutions to the common linear system of equations of the theory of elasticity in the half-space and the theory of water waves linked at the interface by the corresponding boundary conditions. The previously obtained simplified dispersion relation for the water mode with account for the elastic base effect is used to derive a simple integral formula which associates the initial perturbation of a special kind in the elastic half-space and the amplitude of the surface water waves generated by this source. The obtained solutions are compared with the solutions based on the well-known piston model of long wave generation.

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