Time History Analysis of Simple Supported Steel Concrete Beam Regarding Creep Phenomena, using Volterra Integral Equations

Author:

Kazakov Konstantin1,Partov Doncho1,Stoyanov Chavdar1,Georgiev Lazar2

Affiliation:

1. University of Construction Engineering and Architecture VSU “L.Karavelov Sofia, Bulgaria

2. University of Civil Engineering, Architecture and Geodezy Sofia, Bulgaria

Abstract

<p>The paper presents a precise analysis of the stress-strain behavior due to creep in statically determinate composite steel-concrete beam according to numerical method in comparison with EM method of Dischinger, take into account in EC4. The analysis is based on the results obtained by numerical solution with Volterra integral equations, derived for determining the redistribution of stresses in beam section between concrete plate and steel beam with respect to time “t”. The creep law of concrete, according EC2 provisions is used. On the basis of the theory of the visco-elastic body of Arutyunian–Trost-Bažant it is analyzed the migration of stresses from concrete plate to steel beam using two independent Volterra integral equations of the second kind. The duration of the course of study was adopted 100 years. Developed method will allow soon be confronted methods for calculating the composite beams according to EC4 considering rheology of concrete, based on the reduced elastic modulus of concrete.</p>

Publisher

International Association for Bridge and Structural Engineering (IABSE)

Reference17 articles.

1. ACI 209.2R-08, (2008), Guide for Modeling and Calculation of Shrinkage and Creep in Hardened Concrete, American Concrete Institute, pp. 48, ACI 209.2R-08, ACI.

2. Alexandrovskii, S. V. (1966), Analysis of Plain and Reinforced Concrete Structures for Temperature and Moisture Effects (with Account of Creep) (in Russian), pp. 443, Stroyizdat, Moscow.

3. Arutyunian, N. Kh. (1952), Some Problems in the Theory of Creep (in Russian), pp. 319, Techteroizdat, Moscow, (French transl., Eyrolles 1957, English transl., Pergamon Press 1966).

4. Bažant, Ž. P. (1988), Editor, Mathematical Modeling of Creep and Shrinkage of Concrete, pp. 459, John Wiley & Sons.

5. Chiorino, M. A. (2014), (Analysis of structural effects of time-dependent behaviour of concrete an internationally harmonized format), Proceedings of III All-Russia Int. Conference "Concrete and Reinforced Concrete –Glance in Future", Stroyizdat, Moskow, 12-14 May, 2014, in Russian, pp. 324-337, in English, pp. 338-350.

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