Paper Title:

Applying of Integral Equation of Volterra for Determining the Section Forces in Composite Beam, Regarding Shrinkage of Concrete

Periodical Key Engineering Materials (Volume 498)
Main Theme Behaviour of Material and Composite Structures
Edited by Moussa Karama
Pages 173-186
DOI 10.4028/
Citation Nacer Rahal et al., 2012, Key Engineering Materials, 498, 173
Online since January, 2012
Authors Nacer Rahal, Mohamed Tehami, Abdelaziz Souici, Beghdad Houda
Keywords Concrete, Deformation, Mixed Section, Shrinkage, Time, Volterra Integral Equations
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During time, the equilibrium state of a steel-concrete mixed beam progresses under the concrete shrinkage. In this context, a contribution to the search of the time-dependant behaviour of mixed beams, including the shrinkage phenomenon of the concrete slab, is dealt with in this paper. The influence of the concrete shrinkage, taking into account the slab reinforcement contribution, on the strength of the mixed beams is taken into account using the linear concrete viscoelasticity theory. With the help of this theory we obtain an analytic model, based on two linear differential equations that result in the over-time-behaviour of the steel-concrete mixed beams. From this model we can determine, at any time t, the values of the normal force and bending moment due to the concrete shrinkage. So it allows us to give an account of the stress state evolution developed in the cross sections of the steel-concrete mixed beams. The results obtained from the application of the suggested model are completely comparable with the results derived by the method proposed by EUROCODE 4

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