Abstract

The analysis of hundreds of SFRC mixtures compiled from papers published over the last 20 years is reported. This paper is focused on the relationships between the size and dosage of steel fibers and the relative amounts of the constituents of SFRC mixtures. Multiple linear regression is applied to the statistical modeling of such relationships, leading to four equations that show considerable accuracy and robustness in estimating SFRC mixture proportions as a function of fiber content and dimensions, maximum aggregate size, and water-to-cement ratio. The main trends described by these equations are discussed in detail. The importance of the interactions between aggregates, supplementary cementitious materials, and fibers in proportioning SFRC mixtures, as well as implications for workability and stability, are emphasized. The simplicity of these data-driven equations makes them a valuable tool to guide the proportioning of SFRC mixtures. Their predictive performance when used together as a data-driven mix design methodology is confirmed using a validation dataset.

Highlights

  • About sixty years ago, the first pioneer studies presenting a rational approach to the concept and applications of Fiber Reinforced Concrete (FRC), and steel FRC (SFRC) in particular, based on fracture mechanics were published [1,2,3,4,5]

  • SFRC mixtures remains based on one single parameter which dictates the design of the mixtures

  • The database compiled as part of this study incorporated the variability that arises between mixtures designed following different approaches and considering materials from different sources, which made it widely representative of SFRC mixtures

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Summary

Introduction

The first pioneer studies presenting a rational approach to the concept and applications of Fiber Reinforced Concrete (FRC), and steel FRC (SFRC) in particular, based on fracture mechanics were published [1,2,3,4,5]. This work was intended as prodromal to a further analysis and exploitation of the database and of the meta-analysis process to derive the correlations between the most significant mix design parameters, identified and cross-analyzed as hereafter, to the indicators of performance of SFRC mixes in the fresh and hardened state to establish a performance-based mix design methodology which needs to be incorporated into structural design approaches for both design predictions and quality control tools. This second stage of the study will be addressed in a separate paper

Methodology
Data Collection and Structure of the Database
Definition of Variables
Cleansing of Data and Descriptive Analysis
Statistical Modeling and Contour Plots
Imputation of Missing Values
Descriptive Analysis
Coarse-to-Fine Aggregate Ratio
Coarse Aggregate Content
Fiber Dimensions and Gravel Content
Coarse aggregate versus length aspect ratio different fiberplots dosages:
Coarse aggregate against fiber volume
Maximum Aggregate Size and Gravel Content
Binder
Maximum Aggregate Size and Binder Content
Aggregates and Binder Content
Superplasticizer Content
A Data-Driven SFRC Proportioning Method
Findings
Conclusions
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