Abstract
The paper presents a mathematical model, well suitable and easy to use, which makes possible the determination of the bending moment-mean curvature relationship for beams subjected to combined bending and axial forces, taking tension stiffening effects into account. After describing the characteristic phases of the structural behaviour, which is discontinuous owing to crack opening, the analytical formulations as well as solving techniques are presented. Some numerical examples complete the paper, both to show that the procedure is of wide general application and to make possible useful comparisons with the results which can be found in the literature on this subject.
Resume
Cet article présente un modèle mathématique adéquat et d'utilisation commode, qui permet de déterminer la relation courbure moyenne-moment fléchissant de poutres soumises à une charge axiale, compte tenu des effets du raidissement en traction.
Après une description synthétique des phases caractéristiques du comportement structurel, qui est discontinu en raison de l'ouverture de fissures, on présente les formulations analytiques et les solutions techniques. Quelques exemples numériques terminent l'article, à la fois pour montrer que la procédure est très générale, et pour permettre des comparaisons utiles avec les résultats qu'on peut trouver dans la littérature.
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Creazza, G., Di Marco, R. Bending moment-mean curvature relationship with constant axial load in the presence of tension stiffening. Materials and Structures 26, 196–206 (1993). https://doi.org/10.1007/BF02472612
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DOI: https://doi.org/10.1007/BF02472612