Abstract
In the present work, a numerical program in MATLAB using the finite element method for successive linear analysis has been developed for the load factor calculation by adopting the approach of first-order plastic hinges. The program is based on step-by-step method and is developed by adopting the theory of plastic hinges as an approach to determine the collapse load and the collapse mechanism of such structures. The program has the ability to generate interaction diagrams for frames of more than one level and more than one span. This permits the prediction of the nature failure mechanisms depending on the ratio between concentrated vertical loads, V, and horizontal loads, H (\(\alpha =V/H\)). The approach used in the present work has been found in a good agreement with the limit analysis for the determination of the true failure load factor and the mechanism corresponding. The approach is very similar with the principal of virtual work method for the construction of interaction diagrams, V–H.
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Boukeloua, S., Tekkouk, A. & Samai, M.L. Prediction of Collapse Mechanisms by the Construction Interaction Diagrams for Plane Steel Structures. Arab J Sci Eng 43, 1687–1696 (2018). https://doi.org/10.1007/s13369-017-2651-7
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DOI: https://doi.org/10.1007/s13369-017-2651-7