Matrix Analysis of Structures

✍ Scribed by Aslam Kassimali

• Publisher: CL Engineering
• Year: 2021
• Tongue: English
• Leaves: 658
• Edition: 3
• Category: Library

✦ Synopsis

Develop an understanding of the matrix method of structural analysis with the contemporary, reader-friendly approach found in Kassimali's MATRIX ANALYSIS OF STRUCTURES, SI, 3rd Edition. Whether you are an advanced undergraduate or graduate student, this edition serves as an excellent resource for understanding all key aspects of the matrix method of structural analysis. Unlike traditional books that are difficult to read, this edition provides understandable, clear explanations of concepts with updated photographs and diagrams as well as flowcharts. Step-by-step procedures guide you through analysis while updated, intriguing examples clarify concepts. New and current exercises include problems working with practical, real-world structures to give you meaningful practice. Trust this technically and mathematically accurate presentation to provide the foundation you need in matrix structural analysis.

✦ Table of Contents

Cover
Dedication
Contents
Preface
Chapter 1: Introduction
1.1: Historical Background
1.2: Classical, Matri X, and Finite-Element Methods of Structural Analysis
1.3: Flexibility and Stiffness Methods
1.4: Classification of Framed Structures
1.5: Analytical Models
1.6: Fundamental Relationships for Structural Analysis
1.7: Linear Versus Nonlinear Analysis
1.8: Software
Summary
Chapter 2: Matrix Algebra
2.1: Definition of a Matrix
2.2: Types of Matrices
2.3: Matrix Operations
2.4: Gauss-Jordan Elimination Method
Summary
Chapter 3: Plane Trusses
3.1: Global and Local Coordinate Systems
3.2: Degrees of Freedom
3.3: Member Stiffness Relations in the Local Coordinate System
3.4: Finite-Element Formulation Using Virtual Work
3.5: Coordinate Transformations
3.6: Member Stiffness Relations in the Global Coordinate System
3.7: Structure Stiffness Relations
3.8: Procedure for Analysis
Summary
Chapter 4: Computer Program for Analysis of Plane Trusses
4.1: Data Input
4.2: Assignment of Structure Coordinate Numbers
4.3: Generation of the Structure Stiffness Matrix
4.4: Formation of the Joint Load Vector
4.5: Solution for Joint Displacements
4.6: Calculation of Member Forces and Support Reactions
Summary
Chapter 5: Beams
5.1: Analytical Model
5.2: Member Stiffness Relations
5.3: Finite-Element Formulation Using Virtual Work
5.4: Member Fixed-End Forces Due to Loads
5.5: Structure Stiffness Relations
5.6: Structure Fixed-Joint Forces and Equivalent Joint Loads
5.7: Procedure for Analysis
5.8: Computer Program
Summary
Chapter 6: Plane Frames
6.1: Analytical Model
6.2: Member Stiffness Relations in the Local Coordinate System
6.3: Coordinate Transformations
6.4: Member Stiffness Relations in the Global Coordinate System
6.5: Structure Stiffness Relations
6.6: Procedure for Analysis
6.7: Computer Program
Summary
Chapter 7: Member Releases and Secondary Effects
7.1: Member Releases in Plane Frames and Beams
7.2: Computer Implementation of Analysis for Member Releases
7.3: Support Displacements
7.4: Computer Implementation of Support Displacement Effects
7.5: Temperaure Changes and Fabrication Errors
Summary
Chapter 8: Three-Dimensional Framed Structures
8.1: Space Trusses
8.2: Grids
8.3: Space Frames
Summary
Chapter 9: Special Topics and Modeling Techniques
9.1: the Structure Stiffness Matrix Including Restrained Coordinate-An Alternative Formulation of the Stiffness Method
9.2: Approximate Matrix Analysis of Rectangular Building Frames
9.3: Condensation of Degrees of Freedom, and Substructuring
9.4: Inclined Roller Supports
9.5: Offset Connections
9.6: Semirigid Connections
9.7: Shear Deformations
9.8: Nonprismatic Members
9.9: Solution of Large Systems of Stiffness Equations
Summary
Chapter 10: Introduction to Nonlinear Structural Analysis
10.1: Basic Concept of Geometrically Nonlinear Analysis
10.2: Geometrically Nonlinear Analysis of Plane Trusses
Summary
Computer Software
Flexibility Method
Bibliography
Answers to Selected Problems
Index