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This book takes a fresh, student-oriented approach to teaching the material covered in the senior- and first-year graduate-level matrix structural analysis course. Unlike traditional texts for this course that are difficult to read, Kassimali takes special care to provide understandable and exceptionally clear explanations of concepts, step-by-step procedures for analysis, flowcharts, and interesting and modern examples, producing a technically and mathematically accurate presentation of the subject.
- New chapter on introduction to geometrically nonlinear structural analysis. This chapter will cover the second-order analysis (also called the P-Δ and P-δ analysis) of frames.
- MATLAB code, used for various flowcharts in the textbook, is now available to instructors via the companion web site.
- Computer exercises have been added in the end-of-chapter problems to familiarize students with the use of general-purpose structural analysis software.
- Numerous new problems, many of which involve practical real-world structures to enhance students' understanding of the subject matter.
- Expanded coverage of the "angle of roll".
- Upgraded computer software, available via companion website.
- The format of the book is flexible enough to enable instructors to emphasize topics that are consistent with the goals of the course.
- Windows-based software for analysis of two- and three-dimensional framed structures is available for downloading by the users of the book.
- Each chapter begins with an introduction defining its objectives, and ends with a summary reviewing its salient features.
- Throughout the book, all relationships necessary for the matrix stiffness analysis are formulated using the basic principles of the mechanics of deformable bodies. Thus, a prior knowledge of the classical methods of structural analysis is not essential for understanding the material presented in this book.
- Basic stiffness relations are derived using both the traditional mechanics of materials principles and the finite element approach (via the principle of virtual work) to familiarize the students with the finite element terminology (e.g., shape functions, etc.) that they will encounter in advanced level courses.
Historical Background. Classical, Matrix, and Finite-Element Methods of Structural Analysis. Flexibility and Stiffness Methods. Classification of Framed Structures. Analytical Models. Fundamental Relationships for Structural Analysis. Linear Versus Nonlinear Analysis. Software. Summary.
2. MATRIX ALGEBRA.
Definition of a Matrix. Types of Matrices. Matrix Operations. Gauss-Jordan Elimination Method. Summary. Problems.
3. PLANE TRUSSES.
Global and Local Coordinate Systems. Degrees of Freedom. Member Stiffness Relations in the Local Coordinate System. Finite-Element Formulation Using Virtual Work. Coordinate Transformations. Member Stiffness Relations in the Global Coordinate System. Structure Stiffness Relations. Procedure for Analysis. Summary. Problems.
4. COMPUTER PROGRAM FOR ANALYSIS OF PLAIN TRUSSES.
Data Input. Assignment of Structure Coordinate Numbers. Generation of the Structure Stiffness Matrix. Formation of the Joint Load Vector. Solution for Joint Displacements. Calculation of Member Forces and Support Reactions. Summary. Problems.
Analytical Model. Member Stiffness Relations. Finite-Element Formation Using Virtual Work. Member Fixed-End Forces Due to Loads. Structure Stiffness Relations. Structure Fixed-Joint Forces and Equivalent Joint Loads. Procedure for Analysis. Computer Programs. Summary. Problems.
6. PLANE FRAMES.
Analytical Model / Member Stiffness Relations in the Local Coordinate System / Coordinate Transformations / Member Stiffness Relations in the Global Coordinate System / Structure Stiffness Relations / Procedure for Analysis / Computer Program / Summary / Problems
7. MEMBER RELEASES AND SECONDARY EFFECTS.
Member Releases in Plane Frames and Beams. Computer Implementation of Analysis for Member Releases. Support Displacements. Computer Implementation of Support Displacement Effects. Temperature Changes and Fabrication Errors. Summary. Problems.
8. THREE-DIMENSIONAL FRAMED STRUCTURES.
Space Trusses. Grids. Space Frames. Summary. Problems.
9. SPECIAL TOPICS AND MODELING TECHNIQUES.
The Structure Stiffness Matrix Including Restrained Coordinates--An Alternative Formulation of the Stiffness Method. Approximate Matrix Analysis of Rectangular Building Frames. Condan of Degrees of Freedom, and Substructuring. Inclined Roller Supports. Offset Connections. Semirigid Connections. Shear Deformations. Nonprismatic Members. Solution of Large Systems of Stiffness Equations. Summary. Problems.
10. INTRODUCTION TO NONLINEAR STRUCTURAL ANALYSIS.
Basic Concept of Geometrically Nonlinear Analysis. Geometrically Nonlinear Analysis of Plane Trusses. Summary. Problems.