Application Of Scheffe’s Third Degree Regression Model For The Optimization Of Compressive Strength Of Polypropylene Fibre Reinforced Concrete (PFRC)

Civil Engineering

This research work is aimed at applying an optimization model based on Scheffe’s Third Degree Regression Model for five component mixture, Scheffe’s (5,3), developed by Nwachukwu and others (2022a) to optimize the compressive strength of Polypropylene Fibre Reinforced Concrete (PFRC). It is in comparison with the results of the previous work done on PFRC based on Scheffe’s Second Degree Polynomial (5,2) Model by Nwachukwu and others (2022c). Through the use of Scheffe’s Simplex method, the compressive strengths of PFRC with respect to Scheffe’s third degree model were determined for different mix ratios/proportion. Control experiments were also carried out as a check, and the compressive strengths determined. The adequacy of the model was evaluated using the Student’s t-test and the test statistics confirmed the adequacy of the model. The maximum compressive strength of PFRC based on the Scheffe’s (5, 3) model was 27.25 N/mm2 .This is slightly higher than 25.23 N/mm2 , being the maximum value obtained by Nwachukwu and others (2022c) for the previous work done on PFRC based on the Scheffe’s (5,2) model. However, the optimum strengths obtained from both models are higher than the minimum value specified by the American Concrete Institute (ACI), as 20N/mm2 .Thus PFRC based on both Scheffe’s models can produce the required compressive strength needed in major construction projects such as bridges and light-weight structures at the best possible economic and safety advantages.

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