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Predicting the Compressive
Strength of High­Performance
Silica Fume Concrete by
Bayesian Methods

JOINT C­SHRP/NEWFOUNDLAND BAYESIAN APPLICATION

Introduction

The Department of Works, Services and Transportation (DWST) of the Government of Newfoundland and Labrador agreed to participate in the Joint C­SHRP/Agency Bayesian Applications Project. By participating in this project, the Department hoped to find useful applications for C­SHRP's Bayesian Analysis and Performance Prediction Programs.

Need for a Model

Mr. Keith Foster, Manager of Materials Engineering, suggested that a model to predict the compressive strength of Portland cement concrete may be useful to this Department. Knowing early whether the concrete strengths of highway structures are going to be low is important. This knowledge would allow for timely adjustments to the concrete mix designs to correct any problems before additional concrete is placed.

The prediction of compressive strengths of concrete would also permit better scheduling of construction activities such as post­tensioning, pre­tensioning or removal of false work and form work. These functions depend upon attaining a minimum level of concrete strength.

Although compressive strength tests are usually conducted at an age of 7 days to predict the 28­day strengths (fc), it was thought that it would be worthwhile to predict strengths using information gathered from the mix designs and quality control tests.

Upon closer examination, it was decided to sort the data and devise a model only to predict the compressive strength of silica fume concrete. Silica fume concrete is a high performance concrete mix that can produce compressive strengths of 140 MPa or more. The construction of the Hibernia Gravity Base Structure (GBS) at Bull Arm has recently introduced this product to Newfoundland.

Staffing

The lead analyst for this project was Mr. Joe English, Pavement Management Engineer. Data Manager for the first model iteration was Mr. Christopher R. Walsh, a co­op engineering student of Memorial University of Newfoundland. Expert judgement was provided by:

· Mr. Keith Foster, Manager of Materials Engineering (DWST)
· Mr. Dennis Coffin, Manager of Laboratory and Field Services (Newfoundland Geosciences Limited)
· Mr. Colin Crane, Senior Concrete Technician (DWST)

Valuable consulting assistance was provided by Mr. Mark Nickeson and Mr. Lyle Kajner, associates with VEMAX Management Inc. of Saskatoon, Saskatchewan.

Methodology

A literature search of highway and concrete publications provided several sources of data based on the quality control testing of concrete mixes. Additional data was collected from old DWST project files for bridge and overpass construction. A search to find an existing model for predicting the compressive strength of silica fume concrete was unsuccessful.

Review of the data resulted in the rejection of material external to DWST projects because the information was not always complete. Variables such as water cement ratio, air content, and placement temperature were not always reported. The selected data for the study was obtained from DWST files from the following three sources:

· Laboratory mix designs for normal and silica fume concrete

· Mix designs and field tests for the construction of high performance silica fume girders at Main Brook Bridge

· Mix designs and field tests for the construction of high performance silica fume girders at Holyrood Pond Bridge

The girders were constructed of silica fume concrete containing 8% silica fume by weight of cement. Laboratory mix designs involved silica fume concrete and normal portland cement concrete that contains no silica fume.

As silica fume concrete is a new technology in Newfoundland, experts were not readily available. Consequently, it was decided to obtain the Prior information by the Data Prior Method. For purposes of the analysis, the laboratory mix designs were categorized as "old" data, while the database for the two construction projects was categorized as "new" data.

Three iterations were carried out on the model to predict the compressive strength of silica fume concrete:

Summary of Iterations

For the first two models, classical regression analysis was conducted on the laboratory mix designs and entered in XLBAYES as Data Priors. In Model 1, mix designs involved silica fume concrete as well as normal portland cement concrete (0 % Silica Fume). In Model 2, it was decided to concentrate on silica fume concrete only.

An advantage of a data­derived prior is that experts do not need to be available. However, a Data Prior is only as good as the old data. The laboratory mix designs were selected as Priors because quality control is higher in the lab than in the field (the project files).

In the third model, a Zellner G­Prior was used. The Prior means were derived from experts and the laboratory data was only used to determine a variance­covariance analysis for XLBAYES.


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