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Analytical Solution of Laterally Loaded Free-Head Long Piles in Elasto-Plastic Cohesive Soils

Author

Listed:
  • Ayman Abd-Elhamed

    (Physics and Engineering Mathematics Department, Faculty of Engineering-Mattaria, Helwan University, Cairo 11718, Egypt
    Faculty of Engineering, King Salman International University, Ras-Sedr 46512, Egypt)

Abstract

This research study presents a closed form solution of responses of laterally loaded long piles embedded on cohesive soils with a constant subgrade modulus. The surrounding soil medium is modelled as elastic-perfectly plastic. The closed form solution is derived by solving the governing differential equation of the pile–soil system. The most popular numerical computation software package MATLAB is utilized for the implementation of solutions. The provided analytical method reliably calculates the pile head deflection and bending moment required for engineering design purposes. Results are discussed and verified with solutions of an equivalent three-dimensional finite element (FE) model developed using ANSYS software. It was concluded that the proposed analytical model could efficiently provide the exact solution of embedded piles in elasto-plastic cohesive soil under lateral loads.

Suggested Citation

  • Ayman Abd-Elhamed, 2021. "Analytical Solution of Laterally Loaded Free-Head Long Piles in Elasto-Plastic Cohesive Soils," Mathematics, MDPI, vol. 9(16), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1961-:d:615530
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