Matrix Structural Analysis - 1st Edition - ISBN: 9780080167817, 9781483148069

Matrix Structural Analysis

1st Edition

Pergamon Unified Engineering Series

Authors: Jamal J. Azar
eBook ISBN: 9781483148069
Imprint: Pergamon
Published Date: 1st January 1972
Page Count: 23
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Matrix Structural Analysis focuses on the theory and practical application of matrix structural analysis. Organized into seven chapters, this book first describes the matrix algebra and the fundamental structural concepts and principles which are directly related to the development of the matrix methods. Subsequent chapters present the theory and application of the direct stiffness matrix method and matrix force method to structural analysis. The element stiffness matrices of lifting surface type structures and the general theory of analysis by structural partitioning are also presented. This book will be useful for students and practicing engineer as a quick reference material in this field of interest.

Table of Contents


Chapter One Matrix Algebra

1.1 Introduction

1.2 Definitions

1.3 Matrix Algebra Manipulation

1.4 Simultaneous Linear Algebraic Equations

1.5 Supplementary Problems

1.6 Suggested Computer Exercises

Chapter Two Fundamental Concepts and Principles

2.1 Introduction

2.2 Generalized Forces and Displacements

2.3 Structural Behavior

2.4 Structural System and Its Constituent Elements

2.5 Energy Theorems in Structural Analysis

2.6 Basic Thermo-Elastic Relations

2.7 Strain and Complementary Strain Energies

2.8 Principles of Superposition

2.9 Reciprocal Theorems

2.10 Supplementary Problems

Chapter Three Direct Stiffness Matrix Method

3.1 Introduction

3.2 General Discussion

3.3 Aggregate and Element Stiffness Matrices

3.4 Sign Convention

3.5 Axial Rod Element Stiffness Matrix

3.6 Coordinate Transformation Matrix

3.7 Linear Spring Stiffness Matrix

3.8 Torsional Rod and Torsional Spring Stiffness Matrices

3.9 Rectilinear Beam Element Stiffness Matrix

3.10 Special Cases for the Rectilinear Beam Element

3.11 Curved Beam Element—Stiffness Matrix

3.12 Structures with Distributed Loads

3.13 Structures with Thermal Loads

3.14 Supplementary Problems

3.15 Suggested Computer Exercises

Chapter Four Element Stiffness Matrices of Lifting Surface Type Structures

4.1 Introduction

4.2 Spar or Rib Element Stiffness Matrix

4.3 Rectangular Shear Panel Element Stiffness Matrix

4.4 Trapezium Shear Panel Element Stiffness Matrix

4.5 Triangular Membrane Element Stiffness Matrix

4.6 Rectangular Membrane Element Stiffness Matrix

4.7 Supplementary Problems

Chapter Five Matrix Force Method

5.1 Introduction

5.2 General Theory of the Force Method

5.3 Analysis of Truss-Structures by the Force Matrix Method

5.4 Analysis of Rigid Frame and Beam Structures by the Force Matrix Method

5.5 Supplementary Problems

Chapter Six Analysis of Nonlinear Truss-Structures by the Stiffness Method

6.1 Introduction

6.2 Modified Stiffness Matrix Method for the Nonlinear Analysis of Truss-Type Structures

6.3 Algorithm for Nonlinear Analysis

Chapter Seven Analysis by Structural Partitioning

7.1 Introduction

7.2 Procedure of Analysis by Structural Partitioning Using the Stiffness Matrix Method

7.3 Theory Development for the Analysis by Structural Partitioning

7.4 Substructure Displacements and Forces with Common Boundary Nodes Fixed

7.5 Substructure Displacements and Forces with Common Boundary Nodes Relaxed

7.6 Structure Displacements and Internal Forces

7.7 Supplementary Problems

7.8 Suggested Computer Exercises




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© Pergamon 1972
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About the Author

Jamal J. Azar

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