Analysing Rectangular Pile Using One Dimensional Finite Element

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ORIGINAL PAPER

Analysing Rectangular Pile Using One Dimensional Finite Element M. El Gendy

. H. Ibrahim

. I. El Arabi

Received: 23 October 2019 / Accepted: 13 April 2020  Springer Nature Switzerland AG 2020

Abstract The traditional methods for analysing rectangular piles (Barrettes) are mainly modelling the barrette and surrounding soil using 3D-FE. 3D-FE for barrette foundations needs a huge computational effort. Consequently, a huge system of equations required to be solved. In this paper, a composed coefficient technique (CCT) is developed for analysing laterally loaded barrettes. The technique takes into account the three-dimensional full interactions between the barrette and the surrounding soil. In the technique, the three dimensional coefficients of the stiffness matrix of the barrette are decomposed to be one-dimensional. This enables easily adding these coefficients to those of stiffness matrix of the soil. Besides the practical application and efficiency of the technique, the nonlinear response of the barrette using any load-settlement relation can be considered. The technique may be also applied for single barrette, barrette groups or barrette raft. A series of validations is carried out to verify the application of CCT for analysing single barrettes. It is found that treating the barrette by CCT, gives nearly the same results compared with the measured values from load tests and FE results. The proposed technique is implemented in the program ELPLA El Gendy M and El Gendy A (Analysis and design of raft and piled RaftM. El Gendy (&)  H. Ibrahim  I. El Arabi Department of Civil Engineering, Faculty of Engineering, Port Said University, Port Said, Egypt e-mail: [email protected]

Program ELPLA, GEOTEC Software Inc., Calgary, 2019). Keywords Soil structure interaction  Deep foundation  Rectangular pile  Barrette  Single barrette  Composed coefficient technique

1 Introduction Early researches on single barrettes were performed using 3D-FE to analyse single barrette. This technique takes into account full interactions between barrettes and the surrounding soil, but it leads to a huge stiffness matrix. Therefore, huge systems of equations have to be solved. Consequently, this analysis is time consuming even for the fast computers of today. A similar foundation element of pile maybe considered as a less complicated problem than that of the barrette cross section. Piles, in most cases, are circular in shape with small cross-sectional area, while that of the barrette is mainly rectangular, with large cross-sectional area. Therefore, the pile can be treated as a beam member subjected to point loads on its nodes, while barrettes are treated as block members. Many methods are available for the analysis of piles, most of them are used also to analyse barrettes with equivalent cross section area to that of the pile.

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Geotech Geol Eng

Thasnanipan et al. (1998) reported construction practice and the performance of barrette constructed in Ba