Mathematical model for predicting Portland cement 28 days compressive strength

Abstract

In assurance of the quality of the final cement product, determination of compressive strength is key. However, it is a time-consuming way to wait for experimental results for any necessary adjustments. Therefore, an early estimation method of the compressive strength has to be thought. In this research project, a mathematical model capable of predicting the compressive of cement has been developed based on curing time, Blaine fineness and water to cement ratio This research project aims at determining a mathematical model for predicting the cement.28 days’ compressive strength. In the early model development, curing time and strength previous results of 2, 7 and 28 days'' plotted A simple polynomial equation was developed for fitting data of both compressive strength and curing time variables. A correction factor k.w/c was used, obtained from optimal strength and w/c results. The performance of the proposed equations was evaluated by statistical parameters, MAE, RMSE and EF. The w/c of 0.298 and 339.5m2/kg Blaine were found to give the highest strength results at 28days. A polynomial coefficients averaged to 0.07375, 3.089134, 16.6888 for at order descending and correction factor k.w/c varied. model values obtained R2 up to 1, EF of 99.901% at 2 days through 99.841% to 99.909 at 28 days, MAE and RMSE of 0.071 and 0.224 receptively. This has been achieved based on curve fitting of experimentally obtained results of compressive strength and critical analysis of the data. The model also established a relationship between two variables with strength, that’s, w/c and Blaine. the proposed model can explicitly predict cement compressive strength, it’s easy to use and takes in raw data of w/c and Blaine fineness