This research work is aimed at using Scheffe’s Third Degree Regression Model for five component mixture, simply abbreviated as Scheffe’s (5, 3) to optimize the compressive strength of Steel Fibre Reinforced Concrete (SFRC). One of the specific objective is to compare the results of the present work with the results of the previous work done on SFRC based on Scheffe’s Second Degree Regression Model, Scheffe’s (5, 2) by Nwachukwu and others (2022b). Through the use of Scheffe’s Simplex optimization method, the compressive strengths of SFRC with respect to Scheffe’s third degree model were obtained for different mix proportions. Control experiments were also carried out, and the compressive strengths evaluated. By using the Student’s t-test statistics, the adequacy of the model was confirmed .The optimum attainable compressive strength of SFRC based on the Scheffe’s (5, 3) model was 33.74 MPa which is higher than 27.81 MPa , being the maximum value obtained by Nwachukwu and others (2022b) for the previous work done on SFRC based on the Scheffe’s (5,2) model. Although there is slight difference between the maximum compressive strength values obtained by the two models, however, the values from both models are higher than the minimum value specified by the American Concrete Institute (ACI), as 20 MPa . As a result of this, the SFRC compressive strength values based on both models can sustain construction of light-weight structures. Again, by considering its safety and economic advantages, SFRC can find applications as concrete flooring for parking lots, playgrounds, airport runways, taxiways, maintenance hangars, access roads, workshops, port pavements, container storage and handling areas, bulk storage warehouses, as well as military warehouses.
SFRC, Scheffe’s (5,3) Regression Model, Optimization, Compressive Strength, Mixture Design
K. C. Nwachukwu , D. A. Okodugha , I. S. Akosubo , F. K. Atulomah "Optimization of Compressive Strength of Steel Fibre Reinforced Concrete (SFRC) Using Scheffe’s Third-Degree Regression Model" Iconic Research And Engineering Journals Volume 5 Issue 11 2022 Page 168-183
K. C. Nwachukwu , D. A. Okodugha , I. S. Akosubo , F. K. Atulomah "Optimization of Compressive Strength of Steel Fibre Reinforced Concrete (SFRC) Using Scheffe’s Third-Degree Regression Model" Iconic Research And Engineering Journals, 5(11)