@article{R. Mohamad_H. Hammadeh_M.Kousa_G.Wardeh_2020, title={FRACTURE BASED NON LINEAR MODEL FOR REINFORCED CONCRETE BEAMS}, volume={18}, url={https://geomatejournal.com/geomate/article/view/408}, abstractNote={<p><br>An analytical model based on the fracture properties of concrete and the nonlinear hinge <br>model is proposed in this paper for the flexural behavior modelling of simply supported reinforced concrete <br>beams. The model supposes the development of a single crack in the midsection of the beam within a zone <br>called the hinge. The cross section of the beam is divided into a finite number of layered strips of concrete <br>and a reinforcement bar. Each strip has a single freedom degree which is the elongation. Stress-strain <br>relationships proposed in Euro code 2 were adopted for concrete strips under uniaxial compression and steel <br>under tension. For concrete strips in tension zone three cases were studied: without softening effect, linear <br>strain-softening behavior, and power-law strain softening behavior. The proposed model gives the loaddeflection relationship, the development of the crack opening from cracking up to failure and the evolution of <br>the crack height during loading. In order to validate the proposed model, the analytical results were compared <br>with experimental ones of a set of beams selected from scientific references. Comparisons showed that the <br>adequate prediction of flexural behavior requires the knowledge fracture properties with an adequate strain <br>softening function beside basic mechanical properties of both concrete and steel. Moreover, the power law <br>strain softening curve is the most suitable to model the experimental behavior of beams while linear softening <br>function gives conservative results. The analytical results were supported by the results of 3D finite element <br>analysis using ANSYS software.</p>}, number={65}, journal={GEOMATE Journal}, author={R. Mohamad and H. Hammadeh and M.Kousa and G.Wardeh}, year={2020}, month={Jan.}, pages={110–117} }