scholarly journals Linear analysis of a rectangular pile under vertical load in layered soils

2020 ◽  
Vol 14 (2) ◽  
pp. 87-97
Author(s):  
Nguyen Van Vien
Keyword(s):  
Finite Element ◽  
Cross Section ◽  
Numerical Solutions ◽  
Rectangular Cross Section ◽  
Soil Column ◽  
Vertical Load ◽  
Layered Soils ◽  
Finite Element Analyses ◽  
Equivalent Radius ◽  
3D Finite Element

In this paper, analytical and numerical solutions are developed for the pile with a rectangular cross-section under vertical load in layered soils. The rectangular cross-section is considered as a circular cross-section with a proposed formulation of equivalent radius. A number of bar elements models the pile and soil column below the pile tip while a series of independent springs distributed along the pile shaft with spring stiffness determined by properties of the corresponding soil layer models the surrounding soil. The method is based on energy principles and variational approach and the 1D finite element method is used in a pile displacement approximation. A new equation for modulus reduction appropriate for the rectangular pile is also developed to match the results of the proposed method to those of the three-dimensional (3D) finite element analyses. The proposed solution verified by comparing its results to the 3D finite element analyses and the comparisons are in excellent agreement. Keywords: rectangular piles; variational; energy principle; vertical load; finite element.

The Effect of Joint Flexibility on the Torsion of a Vehicle Body

1982 ◽  
Vol 196 (1) ◽  
pp. 191-197 ◽  
Author(s):  
P W Sharman
Keyword(s):  
Finite Element ◽  
Cross Section ◽  
Theoretical Estimate ◽  
Element Model ◽  
Vehicle Body ◽  
Finite Element Analyses ◽  
Joint Flexibility ◽  
Theoretical Predictions ◽  
Plane Frame ◽  
Beam Type

Experiments on thin fabricated box members in a tee joint configuration revealed deformations which could not be correlated with beam-type models, even when spring elements were introduced at the joint. The behaviour was also observed in finite element analyses of the joints. Part of the cab structure of a heavy goods vehicle which formed a plane frame with fabricated members of closed cross-section was tested in torsion and the stiffness compared with theoretical predictions. The application of classical beam and torsional theory gave a result which was approximately ten times the experimental value. A further theoretical estimate, which included the joint flexibility as predicted by a finite element model of the localized region at the joint, gave an improved result which was 26 per cent higher than the experimental value.

Dynamic Analysis of Tapered Plates Based on Higher Order Beam Theory

2014 ◽  
Vol 919-921 ◽  
pp. 79-82
Author(s):  
S.M. Ibrahim ◽  
Y.A. Al-Salloum ◽  
H. Abbas
Keyword(s):  
Finite Element ◽  
Cross Section ◽  
Beam Theory ◽  
Longitudinal Axis ◽  
Vibration Modes ◽  
Bending Vibration ◽  
3D Finite Element ◽  
Different Types ◽  
Tapered Plates ◽  
Good Agreement

Modal solutions of plates with uniformly varying cross section using unified beam theory are presented. The results are given in the form of Euler-Bernoulli, Timoshenko and quasi 3D solutions. Numerical results for cantilever and CFCF supported rectangular planform plates are presented. Different types of modes, i.e. axial, bending and torsional modes are observed. The frequency values are in good agreement with 3D finite element results as well as published literature. Due to uniform taper in plate cross section, bending vibration modes become asymmetric along the longitudinal axis of the structure. Further, it can also be noticed that the vibration behavior of thick tapered plates is characterized by the appearance of significant number of axial and torsional modes at lower frequency values.

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