OPTIMIZATION OF COMPRESSIVE STRENGTH OF FLY ASH BLENDED CEMENT CONCRETE USING SCHEFFE’S SIMPLEX THEORY
Journal Title: Academic Research International - Year 2013, Vol 4, Issue 2
Abstract
High cost of cement as a major component of concrete has contributed to continuous rise in the cost of concrete works in Nigeria and other developing nations. Blended cement has become quite popular in developed countries due to its durability and high benefits / cost ratio. Fly ash as a residue resulting from combustion of pulverized coal or lignite occurs in large quantities in some parts of Nigeria. Generally, mix proportions of the various components determine the compressive strength and other properties of concrete. In this study, a mathematical model was developed for optimizing the compressive strength of fly ash blended cement concrete based on Scheffe’s Simplex Polynomial theory. A total of ninety (90) cubes were cast, consisting of three cubes per mix ratio and for a total of thirty (30) mix ratios. The first fifteen (15) were used to determine the coefficients of the model, while the other fifteen were used to validate the model. The five component second degree (5, 2) mathematical model compared favourably with the experimental data and the predictions from the model were tested with the statistical Fischer test and found to be adequate at 95% confidence level. The optimum compressive strength of the blended concrete at twenty-eight (28) days was found to be 43.152 N/mm2. This strength corresponded to a mix ratio of 0.549:0.935:0.065:1.760:3.52 for water: cement: fly ash: sand: granites respectively. The model derived in this study can be used to predict mix ratios for any desired strength of fly ash blended cement concrete within the factor space of the simplex used in the study and vice versa.
Authors and Affiliations
L. Anyaogu, J. C. Ezeh
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