Abstract: This work involves the application of Scheffe’s optimization technique to obtain the mathematical model of response function for the optimization of compressive strength of a six- component concrete made with cement, fly ash, sand, quarry dust, granite and water. A total of 84 standard 150x150x150mm cubes was cast, from forty-two (42) mix ratios. The first twenty-one (21) were used to determine the coefficients of the model, while the remaining twenty-one were used to validate the model. The MATLAB software developed gave optimum compressive strength of 43.01N/mm2after 28 days wet curing for a mix ratio of 0.91:0.094:0.868:0.138:2.18:0.40 (i.e. cement: fly ash:sand:quarry dust: granite: water).The output of the mathematical models compared favourably with the corresponding experimental results and the predictions from the response function were tested for adequacy using the statistical Fischer test and found to be adequate at 95% confidence level. The model derived in this study can be used to predict mix ratios for any desired compressive strength of a six-component concrete system within a 6,2 factor space.
Keywords: Compressive Strength, Quarry Dust, Fly Ash, Mathematical model, Scheffe’s, Optimization, Concrete.
Title: Optimization Model for Prediction of Compressive Strength of Concrete Containing Fly Ash and Quarry Dust Based on Scheffe’s Simplex Theory
Author: Ephraim, M. E., ThankGod, O., Nule, S. J.
International Journal of Civil and Structural Engineering Research
ISSN 2348-7607 (Online)
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