Abstract

A new method for calculating reinforced concrete constructions of high-rise buildings under dynamic loads from wind, seismic, transport and equipment based on the initial assumptions of the modern phenomenological theory of a nonlinearly deformable elastic-creeping body is proposed. In the article examined the influence of reinforcement on the work of concrete in the conditions of triaxial stress-strain state, based on the compatibility of the deformation of concrete and reinforcement. Mathematical phenomenological equations have been obtained that make it possible to calculate the reinforced concrete elements working without and with cracks. A method for linearizing of these equations based on integral estimates is proposed, which provides the fixation of the vibro-creep processes in the considered period of time. Application of such a technique using the finite-difference method, step method and successive approximations will allow to find a numerical solution of the problem. Such an approach in the design of reinforced concrete constructions will allow not only more fully to take into account the real conditions of their work, revealing additional reserves of load capacity, but also to open additional opportunities for analysis and forecasting their functioning at various stages of operation.

Highlights

  • Increasing efficiency and quality of high-rise construction under conditions of dynamic loads from wind, seismic, traffic and process loads requires the use of more economical and reliable constructions, which becomes possible if the advanced methods of calculation are used in the design [1]

  • The improvement of computational methods lies in the ways of their increasing complexity due to the necessity of using a very complex mathematical apparatus, since it is this factor that can realize the aforementioned variety of connections [4], and the use at the present stage of the development of society

  • Calculation of reinforced concrete constructions in the operational state according to the accepted design standards is usually performed with the help of the well-known linear apparatus of the theory of elasticity or structural mechanics, and in the classical theory nonlinearity, rheology and anisotropy of deformation are ignored

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Summary

Introduction

Increasing efficiency and quality of high-rise construction under conditions of dynamic loads from wind, seismic, traffic and process loads requires the use of more economical and reliable constructions, which becomes possible if the advanced methods of calculation are used in the design [1]. The creation of such methods is associated with the need to more fully reflect the real properties of materials accounting their actual behavior under the influence of external loads. The use of such a powerful tool as modern computers and their software allows you to implement fairly complex mathematical solutions with the help of numerical methods and the necessary linearization of nonlinear dependencies [5]

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