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Numerical analysis of the stress‐strain behaviour in statically determinate composite steel‐concrete beam after 100 years creep phenomena process using Volterra Integral Equations

The paper presents a precise analysis of the stress‐strain behaviour due to creep in statically determinate composite steel‐concrete beam according to numerical method in comparison with EM method of Dischinger. 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 viscoelastic 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.