Dimensionless Analysis and Scaling of Helical Piles Using the Buckingham Pi Theorem

Helical piles are increasingly employed in foundation engineering, providing an efficient solution for a range of geotechnical challenges. However, scaling these piles from laboratory models to real-world applications presents significant difficulties due to the complex interaction of soil-structure behaviors. This study uses the Buckingham-Pi theorem to introduce a dimensionless approach for scaling helical piles. By analyzing key parameters, the research derives a set of dimensionless groups that allow for the effective scaling of geometric, material, and load parameters. These groups enable the creation of reduced-scale laboratory models that simulate the behavior of full-scale helical piles under various loading conditions. Through experimental validation, the study demonstrates that the proposed scaling method accurately predicts load capacity and settlement behavior, ensuring the relevance of scaled models to real-world applications. The results of this research provide a practical framework for engineers to optimize both the design and testing of helical piles, reducing the cost and time typically associated with full-scale experimental setups. This dimensionless approach not only enhances the accuracy of physical testing but also contributes to a deeper understanding of the scaling laws governing helical pile performance. Ultimately, this work offers a more efficient pathway for evaluating helical piles in various soil conditions, benefiting both researchers and practitioners in the field of foundation engineering.