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One Dimensional Analysis - ITTI

This manual is part of a set of training material for finite element analysis software packages, developed by the Manchester Computer Centre UMIST Support Unit under the Universities Funding Council, Information Systems Committee (UFC,ISC) Information Technology Training Initiative (ITTI), during 1993 -1995.

This module was developed and written by Dr Rae S. Gordon, FE Project Officer, MCC UMIST Support Unit

The illustrations for this document were prepared by Mrs Mary McDerby of the Manchester Computer Centre Graphics Unit and Dr Rae S. Gordon of the Manchester Computer Centre UMIST Support Unit.

The material was updated in 2007 under the supervision of Dr Jim Wood, Department of Mechanical Engineering, University of Strathclyde, who was also a member of the Steering Committee for the original ITTI project. The updating involved conversion of all text documents to pdf; conversion of all associated overheads to Powerpoint and conversion of all figures to jpeg format. Colour was also added to figures.

This updating was funded by the Higher Education Academy Engineering Subject Centre.

Contents

Acknowledgementsiii
Notationiv
1Axial Bar Element1
1.1Engineering Approach1
1.2Total Minimum Potential Energy3
1.3Plane Truss Element9
1.4Space Truss Element13
1.5Higher Order Bar Element16
2Torsion Bar Element24
2.1Engineering Approach24
2.2Total Minimum Potential Energy Approach26
3Beam Bending Element32
3.1Engineering Approach32
3.2Minimum Total Potential Energy Approach36
3.3Uniformly Distributed Loading45
3.4Plane Frame Analysis48
3.5Space Frame Analysis52
3.6Higher Order Beam Elements56
3.7Shear Flexible Beam Elements60
4Rigid Link Element69
5The Finite Element Process77
5.1Problem Definition77
5.2Finite Element Calculation Procedure79
5.3Interpretation of Result85
5.4Axial Bar Example86
5.5Plane Truss Example92
5.6Beam Bending Example99
6References105

Document Details

Referenceitti-2
AuthorGordon. R
LanguageEnglish
AudiencesAnalyst Student
TypePublication
Date 1st January 2008
OrganisationUMIST
RegionGlobal

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