Numerical analysis of composite STEEL-CONCRETE SECTIONS using integral equation of Volterra

Central European Journal of Engineering - Tập 1 - Trang 316-331 - 2011
Doncho Partov1,2, Vesselin Kantchev1,2
1Higher School of Civil Engineering, Sofia, Bulgaria
2HSCE “L.Karavelov”, Sofia, Bulgaria

Tóm tắt

The paper presents analysis of the stress and deflections changes due to creep in statically determinate composite steel-concrete beam. The mathematical model involves the equation of equilibrium, compatibility and constitutive relationship, i.e. an elastic law for the steel part and an integral-type creep law of Boltzmann — Volterra for the concrete part. On the basis of the theory of the viscoelastic body of Arutyunian-Trost-Bažant for determining the redistribution of stresses in beam section between concrete plate and steel beam with respect to time “t”, two independent Volterra integral equations of the second kind have been derived. Numerical method based on linear approximation of the singular kernal function in the integral equation is presented. Example with the model proposed is investigated. The creep functions is suggested by the model CEB MC90-99 and the “ACI 209R-92 model. The elastic modulus of concrete E c (t) is assumed to be constant in time ‘t’. The obtained results from the both models are compared.

Tài liệu tham khảo

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