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A Mathematical Model for Predicting the Flexural Strength Characteristics of Concrete Mixes Made with Granite Chippings


IE Umeonyiagu
IO Onyelili

Abstract

Abakaliki, Ebonyi state of Nigeria produces most of the crushed-granite chippings used in the South-eastern part of the country. In this research work, these granite-chippings and fine aggregates from Amansea River in Anambra State of Nigeria were tested for their physical and mechanical properties based on BS 812: Parts 1&2:1975. Using these aggregates, sixty concrete beams of dimensions 600 mm X 150mm X 150 mm were made, cured and tested based on BS 1881:1983. Scheffe’s (4, 2) lattice polynomial with regression equation was used to develop a mathematical model for predicting the flexural strength characteristics of concretes made with these aggregates. The mathematical model developed was Ŷ = 4.28x1+ 4.42x2+ 3.4x3+ 2.71x4+ 0.2x1 x2 + 0.04x1 x3 – 0.14x1 x4 – 0.08x2 x3 – 0.3x2 x4+ 1.22x3 x4. Finally, the student’s t-test and the Fisher test were used to test the model’s validity.


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eISSN: 2467-8821
print ISSN: 0331-8443