Deformation control equations for engineering piles subjected to vertical and nonlinear lateral loads

Area of Science:

• Geotechnical Engineering
• Structural Engineering

Background:

• Deep excavations induce complex pile-soil interactions affecting adjacent structures.
• Traditional methods struggle to accurately model coupled pile-soil deformation.

Purpose of the Study:

• Develop a unified analytical model for pile deformation adjacent to deep excavations.
• Accurately predict pile displacement considering pile-soil interaction.

Main Methods:

• Utilized the total potential energy principle and variational method.
• Formulated strain energy of pile and soil with external work.
• Derived and analytically solved the coupled governing equation for pile displacement.

Main Results:

• Laboratory tests validated the model's accuracy.
• Predicted lateral displacement profiles closely matched measured data.
• Prediction errors were generally within 0.02-0.03 mm, with relative errors below 10%.

Conclusions:

• The analytical framework accurately captures depth-dependent pile deformation.
• Provides a reliable basis for deformation prediction in deep excavation projects.
• Enhances safety evaluation for structures adjacent to excavations.