Abstract
In this study, three methods were proposed to predict the stress-crack width (σ-w) relationship and the residual flexural strengths of 3D/4D/5D steel fiber reinforced concrete (SFRC): (1) the integration by substitution was firstly modified to derive the closed-form solutions for flexural beam, and then the polylinear σ-w relationship was achieved through the inverse analysis method; (2) the polynomial σ-w relationship was proposed according to the fiber pullout test (FPT) and a regression analysis method; (3) a semi-analytical method for the residual flexural strengths was established according to the three-point bending test (3PBT), polynomial σ-w relationship and regression analysis. Finally, 24 groups of specimens with varying fiber types (3D, 4D and 5D) and fiber volume fractions (0.5%, 1.0% and 1.5%) were manufactured for 3PBT, UTT and FPT to verify the proposed three methods. Results showed that the proposed methods could effectively predict the σ-w relationship and the residual flexural strengths of SFRC, and could be widely used in structural analysis and design.
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