Shear Strength of UHPFRC Beams: Mesoscale Fiber-Matrix Discrete Model
Publication: Journal of Structural Engineering
Volume 143, Issue 4
Abstract
A theoretical method, termed the mesoscale fiber-matrix discrete model (MFDM), has been developed that can be used for estimating the shear contribution of steel fibers and calculating shear strength of ultrahigh-performance fiber-reinforced concrete (UHPFRC) beams. In the proposed model, an effective fiber distributed region (EDR) along the critical diagonal shear crack, where fibers are efficient at providing shear resistance, is defined. The total quantity of fibers within EDR is calculated by the EDR volume proportion of the beam based on a uniform distribution of steel fibers. Two concepts to determine the width of EDR are proposed: (1) probability theory and (2) the basis of the pullout load slip relationship. The bond strength between a single fiber and the matrix is determined by the probability method based on a uniform distribution of fibers. Combining the number of efficient fibers and the bond strength of a single fiber, the shear contribution of fibers is derived. The shear contribution of concrete is obtained using Rankine’s failure criteria and strain and stress distribution of compression zone while the shear contribution of stirrups is determined by the truss model. To evaluate the accuracy and reliability of the proposed model, an experimental program on ten simply supported UHPFRC beams was executed. Through comparison with test results, the proposed model shows good agreement with testing results.
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Acknowledgments
This study was supported by the National Natural Science Foundation of China (Grant No. 51438003), the Scientific Research Foundation of the Graduate School of Southeast University (Grant No. YBJJ1554), and the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD). Their financial support is gratefully appreciated.
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Published In
Journal of Structural Engineering
Volume 143 • Issue 4 • April 2017
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©2016 American Society of Civil Engineers.
History
Received: May 6, 2016
Accepted: Sep 19, 2016
Published online: Nov 11, 2016
Published in print: Apr 1, 2017
Discussion open until: Apr 11, 2017
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