Abstract

The program Response-2000 developed at the University of Toronto by Evan C. Bentz (1) was used in this research to obtain shear strength predictions. This program allows users to analyze beams and columns subjected to moment, shear, and axial loads comprising virtually any type of beam geometry, material types, and material properties. The fundamental theory supporting the program is the Modified Compression Field Theory (MCFT).Member response analysis and sectional analysis were both used in Response-2000 to predict the behavior of the beams. Member response calculates the full member behavior including the deflection and curvature along the member length, as well as predicted failure modes. The analysis was performed by specifying the length subjected to shear and any constant moment region. Response-2000 provided a very good prediction of experimental behavior when compared to a database of 534 beams tested in shear. These include prestressed and reinforced sections, very large footing-like sections, sections made with very high strength concrete and elements with unusual geometry. All are predicted well. The results include that Response-2000 can predict the failure shear with an average experimental over predicted shear ratio of 1.05 with a coefficient of variation of 12%. This compares favorably to the ACI 318-08 [2] Code prediction ratios that have an average of 1.20 and a coefficient of variation of 32%.

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