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

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

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...

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Bibliographic Details
Main Author: Ayman Abd-Elhamed
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematics
Subjects:
analytical solution
laterally loaded long piles
cohesive soil
elasto-plastic soil
ANSYS software
Online Access:https://www.mdpi.com/2227-7390/9/16/1961
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spelling doaj-94bd3f2b990c4d5e88df2d354a76b0e12021-08-26T14:02:24ZengMDPI AGMathematics2227-73902021-08-0191961196110.3390/math9161961Analytical Solution of Laterally Loaded Free-Head Long Piles in Elasto-Plastic Cohesive SoilsAyman Abd-Elhamed0Physics and Engineering Mathematics Department, Faculty of Engineering-Mattaria, Helwan University, Cairo 11718, EgyptThis 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.https://www.mdpi.com/2227-7390/9/16/1961analytical solutionlaterally loaded long pilescohesive soilelasto-plastic soilANSYS software
collection DOAJ
language English
format Article
sources DOAJ
author Ayman Abd-Elhamed
spellingShingle Ayman Abd-Elhamed
Analytical Solution of Laterally Loaded Free-Head Long Piles in Elasto-Plastic Cohesive Soils
Mathematics
analytical solution
laterally loaded long piles
cohesive soil
elasto-plastic soil
ANSYS software
author_facet Ayman Abd-Elhamed
author_sort Ayman Abd-Elhamed
title Analytical Solution of Laterally Loaded Free-Head Long Piles in Elasto-Plastic Cohesive Soils
title_short Analytical Solution of Laterally Loaded Free-Head Long Piles in Elasto-Plastic Cohesive Soils
title_full Analytical Solution of Laterally Loaded Free-Head Long Piles in Elasto-Plastic Cohesive Soils
title_fullStr Analytical Solution of Laterally Loaded Free-Head Long Piles in Elasto-Plastic Cohesive Soils
title_full_unstemmed Analytical Solution of Laterally Loaded Free-Head Long Piles in Elasto-Plastic Cohesive Soils
title_sort analytical solution of laterally loaded free-head long piles in elasto-plastic cohesive soils
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-08-01
description 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.
topic analytical solution
laterally loaded long piles
cohesive soil
elasto-plastic soil
ANSYS software
url https://www.mdpi.com/2227-7390/9/16/1961
work_keys_str_mv AT aymanabdelhamed analyticalsolutionoflaterallyloadedfreeheadlongpilesinelastoplasticcohesivesoils
_version_ 1721191718830735360

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