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. Comprehensively reviews finite element techniques in structural mechanics, paying particular attention to matrix algebra, the matrix displacement method and vibration of structures, among other topicsWritten in a step-by-step methodological approach so that readers can acquire knowledge, either through formal engineering courses or by self-studyAlso useful as a reference manual.
Contents
Front Cover; Finite Element Techniques in Structural Mechanics; Copyright Page; Table of Contents; Author's Preface; Notation; Introduction; Chapter 1. Introduction to Matrix Algebra; 1.1 Introduction; 1.2 Definitions; 1.3 Some special types of square matrix; 1.4 Addition and Subtraction of Matrices; 1.5 Matrix Multiplication; 1.6 Matrix integration and differentiation; 1.7 Determinants; 1.8 Inverse of a matrix; 1.9 Solution of Simultaneous Equations; Examples for Practice 1; Chapter 2. The Matrix Displacement Method; 2.1 Introduction; 2.2 Stiffness Matrix of a Rod Element [k]
Examples for Practice 2Examples for Practice 3; Examples for Practice 4; Examples for Practice 5; Index