Theut Jiménez, Natalie

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    Determinación rápida y efectiva de la curva de capacidad última de una estructura -“Push-Over-Curve”- mediante el uso de EXCEL
    (2013) Theut Jiménez, Natalie; Wendichansky Bard, Daniel A.; College of Engineering; Suárez, Luis E.; Guevara, José; Department of Civil Engineering; Valle, Awilda
    At present, most seismic structural designs are based on the elastic behavior of the structure. However, over the years studies have shown that the inelastic behavior of structures plays an important role in the design. Although plastification have been taken into account in design stages, the elastic stiffness is commonly used. Such analysis must take into account that the elastic stiffness commonly used to characterize the response of the structure will be significantly reduced once the structure yields. The plastic design considers the degradation of stiffness and ductility of the structural elements allowing these to be loaded without failure once they reach the maximum bending moment. This way the structure can be designed in a more economical manner. The advent of computers has allowed linear elastic analysis using programs that are commercially available. However, plastic analysis programs are not widely available. Also, some of the few existing applications for these purposes do not consider the softening of the elements. The main purpose of this research is to introduce a simple and general method to perform, nonlinear, plastic analysis that considers rigidities degradation in elements using accessible and modern computational tools. This study presents the development of a simple application developed in EXCEL, called "SEPA” Static Elastic Plastic Analysis, to facilitate the approximation of inelastic analysis. This research discusses the applicability and validity of the mathematical model proposed by Darvall (1984), in which not typical coefficients are identified for generating stiffness matrix in the plastic area. Also, SEPA has the ability to evaluate both structures rigidities, positive and negative. This is highly advantageous because currently there are no simple programs to consider this aspect. Models like this have already been implanted in more commercial programs such as SAP2000. It is shown that the application developed in this study does not yield significant differences compared with the results obtained using SAP2000. Through this work, it is shown that it is possible to implement a highly complex mathematical model proposed in the 80's using simple and modern tools from present time to facilitate preliminary inelastic structural analysis approach.