Prediction of $28\text{Days}$ Compressive Strength of 53-Grade Cements Using Dimensional Analysis

Compressive strength is considered to be the paramount property of cement. However, according to the standard test procedure, the results of a compressive strength test on cement can be known only after $7$ or $28\text{days}$ . To overcome this difficulty, a dimensional analysis method for predicting the $28\text{-}\text{day}$ compressive strength of 53-grade cements is presented in this paper. This method incorporates the modified Buckingham-pi theorem to formulate a general equation by using only two experimental results. A unique trial-and-error procedure is presented that generates the universal dimensional analysis formulation, wherein one of the experimental data sets, called the control point, generates the dimensional analysis equation, whereas the other data set, the check point, is used to validate the already formed dimensional analysis equation. The results of dimensional analysis are then compared with the available experimental results. The comparison shows the validity of the method.