The application of soil mixture in concrete footing design using the linear regression model

The economical and safe design of a concrete footing is considered in geotechnical engineering projects. The selection appropriate dimension of the concrete footing is a critical decision that needs to be made by professional engineering, and the accuracy of this decision plays a vital role in the economical and safe design of a geotechnical engineering project. In this study, the engineering judgment for the width design of concrete footing when different soil mixture configuration is rested beneath the concrete footing guided using linear regression and histogram models. The size of 1 (m), 1.3 (m), 1.6 (m), 1.9 (m), 2.2 (m), and 2.5 (m) is numerically selected to design width of concrete footing. The linear regression analysis applied to predict economical footing width with higher accuracy in considering all soil mixture designs. The results reveal the higher width of the concrete footing exhibit with higher accuracy. In this study, the proposed models guide the geotechnical engineers in the selection suitable width of concrete footing in a geotechnical engineering project. This study makes the bridge between the analytical method and the application of soil mixture in concrete footing design. The prediction width of concrete footing with high accuracy supports economically a structure and enhances the stability of the structure as well.