Seismic analysis and design of steel-reinforced concrete (SRC) buildings
Abstract
This thesis proposes a reliable and computationally efficient beam-column finite element model for the analysis of steel reinforced concrete members under cyclic loading conditions that induce uniaxial bending and axial force. The element is discretized into longitudinal steel, steel shape, and concrete fibers such that the section force-deformation relation is derived by integration of the stress-strain relation of the fibers. The nonlinear behavior of the element derives from the nonlinear stress-strain relation of the steel and concrete fibers, and buckling of longitudinal steel and steel shape. The proposed beam-column element is based on the assumption that deformations are small and that plane sections remain plane for concrete core and steel shape during the loading history. The formulation of the element is based on the mixed method: the description of the force distribution within the element by interpolation functions that satisfy equilibrium is the starting point of the formulation. Based on the concepts of the mixed method it is shown that the selection of flexibility dependent shape functions for the deformation field of the element results in considerable simplification of the final equations. With this particular selection of deformation shape functions the general mixed method reduces to the special case of the flexibility method. Correlation studies between the experimental response of eight steel reinforced concrete beam-columns and the analytical results show the ability of the proposed model to describe the hysteretic behavior of steel reinforced concrete members. A new simple algorithm based on an h approach for mesh improvement of fiber finite element discretizations under cyclic loading is developed. The algorithm is applied to one dimensional SRC beam-column problems. Energy error estimators are used for finite element mesh modification. The scheme can be used as part of an efficient preprocess or for general purpose finite element codes to improve the solution.
Degree
Ph.D.
Advisors
Ramirez, Purdue University.
Subject Area
Civil engineering
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