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Finite element techniques in structural mechanics

C T F Ross, University of Portsmouth, UK

Woodhead Publishing Series in Civil and Structural Engineering No. 1

All Carl Ross’s previous books are very clear and well written. This thoroughly interesting text is no exception. The worked examples and practice problems are particularly useful. I will continue to recommend Professor Ross’s books to my students. For anyone requiring an introduction to finite element analysis, this text is excellent.
Journal of Strain Analysis

Very readable, clear and easy to follow. It should be especially useful to those new to the finite element method.
Chartered Mechanical Engineer

 - comprehensively reviews finite element techniques in structural mechanics, paying particular attention to matrix algebra, the matrix displacement method and vibration of structures, among other topics
 - written in a step-by-step methodological approach so that readers can acquire knowledge, either through formal engineering courses or by self-study
 - also useful as a reference manual

This advanced undergraduate and postgraduate text serves for courses in many engineering disciplines and professionals in industrial or academic research. It is written in a step-by-step methodological approach so that readers can acquire knowledge, either through formal engineering courses or by self-study. Also useful for industrial engineers as a reference manual.

ISBN 1 898563 25 X
ISBN-13: 978 1 898563 25 9
January 1996
220 pages  234 x 173mm  paperback  
£50.00 / US$85.00 / €60.00

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About the author

Carl T F Ross, University of Portsmouth, UK

Titles which may also be of interest:
Finite element programs in structural engineering and continuum mechanics
Macro-engineering
Macro-engineering and the earth
Analysis of engineering structures
Mechanics of solids

Contents

Introduction

Introduction to matrix algebra
 - Introduction
 - Definitions
 - Some Special Types of Square Matrix
 - Addition and Subtraction of Matrices
 - Matrix Multiplication
 - Matrix Integration and Differentiation
 - Determinants
 - Inverse of a Matrix
 - Solution of Simultaneous Equations
 - Examples for Practice 1

The matrix displacement method
 - Introduction
 - Stiffness Matrix of a Rod Element (K)
 - Plane Pin-Jointed Trusses
 - Three Dimensional Trusses
 - Continuous Beams
 - Rigid-Jointed Plane Frames
 - Stiffness Matrix for a Torque Bar
 - Examples for Practice 2

Finite element method
 - Introduction
 - Stiffness Matrix for the in-Plane Triangular Plate
 - Stiffness for an in-Plane Annular Plate
 - Three Node Rod Element
 - Distributed Loads
 - von Mises Stress
 - Examples for Practice 3

Vibration of structures
 - Introduction
 - The Elemental Mass Matrix
 - Mass Matrix for a Rod Element
 - Vibrations of Pin-Jointed Trusses
 - Continuous Beams
 - Rigid-Jointed Plane Frames
 - Examples for Practice 4

Non-linear structural mechanics
 - Introduction
 - Geometrical Non-Linearity
 - Material Non-Linearity
 - Combined Geometrical and Material Non-Linearity
 - Problems involving Geometric Non-Linearity
 - Problems Involving Elastic Buckling
 - Non-Linear Vibrations
 - Examples for Practice 5

The Modal method of analysis
 - Introduction
 - The Modal Matrix
 - Damping

References

Answers to further problems