scholarly journals Stress-strain state of reinforced bimodulus beam on an elastic foundation

Author(s):  
A N Beskopylny ◽  
E E Kadomtseva ◽  
G P Strelnikov ◽  
Y A Berdnik
2020 ◽  
Vol 25 (1) ◽  
pp. 236-242
Author(s):  
T.I. Zaitseva ◽  
I.V. Blinova ◽  
A.M. Uzdin

AbstractThe problem of gap estimation for a break of a continuous welded rail is studied. The track is represented as a semi-infinite rod on elastic-based damping. Static and dynamic solutions are obtained. It is shown that during the rail break, the dynamic factor does not exceed 1.5. We derive equations for thermal deformation of the welded rail of jointless track on an elastic foundation in the presence of the insert into the base with another characteristic stiffness. It is shown that the presence of the insertion of up to 20% of the length of the rail, with both large and small stiffness, has a little effect on the stress-strain state (SSS) of the track. The presence of a rigid insert may increase the clearance of an accidental break of the rail, which has a negative effect on traffic safety.


2014 ◽  
Vol 5 (7(71)) ◽  
pp. 4
Author(s):  
Сергій Вікторович Угрімов ◽  
Юрій Михайлович Toрмосов ◽  
Віктор Анатолійович Куценко ◽  
Ігор Володимирович Лебединець

2018 ◽  
Vol 931 ◽  
pp. 60-65 ◽  
Author(s):  
Aleksey N. Beskopylny ◽  
Elena E. Kadomtseva ◽  
Grigory P. Strelnikov

In this paper, we consider the influence of the conditions for fixing a wavy plate lying on an elastic foundation on its stressed-deformed state. The profiled plates are widely used in construction practice as fencing structures, for siding works, for roofing and others. The stress-strain state of the wavy plates varies depending on geometry, materials mechanical properties, foundation characteristics and boundary condition. Steel with polymer coatings, which make the sheets a decorative material, is increasingly used in individual and low-rise buildings. The elastic foundation is considered as Winkler base, so we suppose that the reaction of the base is directly proportional to the deflection of the plate at each point. The Bubnov-Galerkin method is used to determine the stress-strain state of the plate. To solve the problem, we use special orthogonal Legendre polynomials satisfying the boundary conditions: simply supported and clamped edges. The results of the calculations were compared for different types of fixation.


Author(s):  
Alexander Treschev ◽  
Victor Telichko ◽  
Nikita Zolotov

 In this paper, we consider the construction of a finite-element model for determining the stress-strain state of a multi-storey building made of monolithic reinforced concrete on an elastic foundation. This takes into account the dependence of the mechanical characteristics of concrete on the form of the stressed state, the devel­opment of plastic deformation in the reinforcement, cracking. Confirmed that the account of the complicated properties of the material is necessary for obtaining correct estimates of the stress-strain state of reinforced con­crete structures under conditions of progressive cracking.


Author(s):  
Vladimir Travush ◽  
Vladimir Gordom ◽  
Vitaly Kolchunov ◽  
Yevgeny Leontiev

The paper presents the methodic for analytical determining of stress-strain state of a beam partially supported on elastic foundation at sudden damage of foundation structure (partial failure). Bending equation for a beam is written using dimensional parameter and solved with the initial parameters method. Such approach al­lows to obtain dimensional analytical solution to static and dynamic problems for universal boundary conditions of a beam since it always leads to equations’ system of second order. Using numerical analysis for various values of generalized stiffness parameter of a system “beam - foundation”, we established affecting of the length of failure foundation part to stress-strain state of the beam for two supporting variants: partial supporting and sup­porting by two ends with foundation failure in the middle part of the beam.


Author(s):  
Vadym Govorov ◽  
Naryman Sultanov ◽  
Maksim Chusovytyn

Objective: To develop a universal method of track structure elements’ strength analysis, taking into account variable cross-section of elements and the form of foundation. To provide a graph-analytical model of analysis, as the basis of the method, for calculating stress-strain state characteristics of a beam on elastic foundation. Methods: Graph-analytical method was used to identify the characteristics of stress-strain state of a beam on elastic foundation. The method in question is an alternative one, compared to a routine theoretical calculation, the basis of which is a fundamental equation of a bending line and further from this equation, by means of successive integration method, any characteristic of stress-strain state of a beam on elastic foundation can be obtained. Results: A universal graph-analytical method was developed, taking into account factors, which cause deviation from a theoretical scheme of a beam bearing on elastic foundation, such as the possibility of calculating different elements of track structure bearing capacity, considering its variable cross-section (sole chairs, ferroconcrete sleepers, tongues, frogs, etc.), foundation form alternation, on which the calculated elements bear, as well as unequal elasticity of foundation. Practical importance: Application of such a universal method, which differs from an accepted idealized scheme of a beam bearing on elastic foundation, offers wide perspectives in stress-strain state assessment of not only new tracks, being designed, but also in the process of their current state. Application of the method in question makes it possible to avoid analytical lengthy mathematical calculations with any form of cross-section alternation along the length of a beam, with any form of foundation, as well as heavy expenditures, compared to other modern bearing capacity calculating methods, such as finite element method, finite difference method, and finite volume method.


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