It is presented the analytical method for determination of refined compliance (and secant rigidity Csm) reinforcing communication, crossing crack λsm—significant parameters necessary for simulation of reinforced concrete constructions on the model of discrete cracks, including through the FEM. This method is based on a mathematical model, which is a nonlinear boundary value problem consisting of four equations, two of which are differential of the first order. Solution of the problem was carried out by numerical methods in mathematical calculation programs MathCAD and Wolphram Mathematica. Amongst the main assumptions of the model are bilinear and linear diagrams for description of behavior under the loading of concrete and reinforcement and the elastic–plastic law of adhesion between them applied. There were obtained the dependences of the secant stiffness Csm on the distribution of longitudinal forces Ns(x) and displacements Us(x) in the reinforcement for different varied parameters, such as the areas, classes of concrete and diameters of reinforcement. The results clearly demonstrate the non-linear nature of the work of reinforcing communication that crosses a crack, which corresponds to the actual operation of the communication, but for greater reliability require experimental confirmation.
Construction of Analytical Coupling Model in Reinforced Concrete Structures in the Presence of Discrete Cracks
Lect.Notes Mechanical Engineering
2021-11-02
14 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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