Analysis of dynamic coefficients for damage to the middle support of two-span and three-span continuous beams

Alexander Tusnin,S Jemioło,M Gajewski,M Krzemiński,M Mitew-Czajewska,A Zbiciak

doi:10.1051/matecconf/201711700173

Alexander Tusnin, S Jemioło + Show 4 more

Open Access

https://doi.org/10.1051/matecconf/201711700173

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Abstract

The paper deals with the operation of continuous two- and three-span beams with damage to the middle support. For a two-span continuous beam, the dynamic coefficients for the action of concentrated forces over the middle support and span of the beam are theoretically substantiated. The results of numerical studies of double-span beams at different loads and time intervals of damage to the middle support are presented. The method of dynamic calculation, which can be used to calculate the survivability of steel structures, has been worked out. A good correspondence of the dynamic coefficients obtained numerically with theoretical values is established. Depending on the order of the formation of the design, the dynamic coefficients vary from 1 to 3. For survivability of the design, the pre-bending of the beams above the middle support is most dangerous. With the use of a well-grounded numerical technique, the dynamic coefficients for a continuous three-beam beam are investigated. For continuous beams, if the middle supports are damaged, it is recommended to use a dynamic coefficient of 2 for the load in the spans adjacent to the damaged support

Highlights

In Russia and other countries, a scientific direction is developing, which studies the behavior of damaged structural structures
With the 4th variant of structural damage, to determine the dynamic coefficient, let us consider the energy of the system deformation Ud, the deformation energy of the precurved beam Uo and the work A done by the load P after removal of the support
Depending on the initial state of a continuous two-span beam, the theoretical dynamic coefficients vary in the range from 1 to 3

Summary

Introduction

In Russia and other countries, a scientific direction is developing, which studies the behavior of damaged structural structures. The analysis of the loadcarrying capacity of such structures is called the calculation for progressive destruction or the calculation of survivability. The problem of studying the bearing capacity of damaged structures is very relevant because of the adverse consequences of the destruction of buildings [1, 2]. In Russia, when designing unique buildings and structures, the calculation of load-bearing structures is performed with damage to their individual elements [3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18]. Determination of the dynamic coefficients for common designs for various damage schemes is of great practical importance

Theoretical part

Numerical studies

Conclusions