Damage Assessment of Reinforced Concrete Beams by Flexibility Matrix

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Abstract

This paper investigates the damage pattern of reinforced concrete beams using flexibility matrices. The flexibility matrices were calculated from experimental modal data which were obtained by performing static and dynamic tests on concrete beam specimens. The variations of flexibility matrices were determined using a proposed method based on the Ritz vectors. This method characterizes the damage areas by a parabolic shaped crack zone in the middle part of the beams. The parabolic zone builds up as the damages develop and reduces after CFRP strengthening. The proposed method based on the Ritz vectors agrees well with the methods that detect the stiffness reduction due to bending cracks. By employing this model, the loss of stiffness along the length of beam specimens was estimated in the mathematical framework.

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