Matrix Analysis of Structures, SI Edition, 3rd Edition

Aslam Kassimali

Copyright 2022
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Matrix Analysis of Structures, SI Edition 3rd Edition by Aslam Kassimali

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Overview

Provide a contemporary, student-oriented approach to mastering the principles of matrix structural analysis with Aslam Kassimali's trusted MATRIX ANALYSIS OF STRUCTURES, SI, 3rd Edition. This edition is an ideal resource for your undergraduate senior-level or first-year graduate-level course that addresses the matrix method of structural analysis. Unlike traditional texts for this course that are difficult to read, this edition takes special care to provide understandable and exceptionally clear explanations of concepts with updated photographs and diagrams. Step-by-step procedures guide students in analysis, while flowcharts and updated, interesting examples clarify concepts. More than 20 percent of this edition's exercises are updated to provide current, hands-on practice. Trust this technically and mathematically accurate presentation and companion website to provide the depth of content and understanding your students need.

Meet the Authors

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Aslam Kassimali

Aslam Kassimali is professor and distinguished teacher in the Department of Civil and Environmental Engineering at Southern Illinois University, where he teaches linear and nonlinear structural analysis as well as structural dynamics and stability. Dr. Kassimali was born in Karachi, Pakistan, where he received his B.E. in civil engineering from the University of Karachi. He earned his M.E. in civil engineering from Iowa State University. After completing further studies and research at the University of Missouri at Columbia, he received an M.S. and Ph.D. in civil engineering.Dr. Kassimali’s practical experience includes work as a structural design engineer for Lutz, Daily and Brain, Consulting Engineers in Shawnee Mission, Kansas, and work as a structural engineering specialist and analyst for Sargent & Lundy Engineers in Chicago, Illinois. He joined Southern Illinois University - Carbondale as an assistant professor and was promoted to the rank of professor in 1993. Consistently recognized for teaching excellence, Dr. Kassimali has received more than 20 awards for outstanding teaching at Southern Illinois University - Carbondale, and he was awarded the title of distinguished teacher in 2004. Dr. Kassimali has authored or co-authored four textbooks on structural analysis and mechanics and has published a number of papers in the area of nonlinear structural analysis. He is a life member of the American Society of Civil Engineers (ASCE) and has served on the ASCE Structural Division Committees on Shock and Vibratory Effects, Special Structures and Methods of Analysis.

What's New

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MORE THAN 20 PERCENT OF THE PROBLEMS ARE NEW IN THIS EDITION. The author has carefully updated and replaced problems to reflect updated content and contemporary practices. New problems often depict practice with real-world structures to emphasize the relevance of what students are learning.
APPROXIMATELY TEN PERCENT OF THE EXAMPLES ARE NEW OR UPDATED. New, meaningful examples throughout this edition reflect current situations and structural challenges.
NEW DIAGRAMS CLARIFY CONTENT. New shear, bending moment and axial force diagrams for beams and frames are added in Chapters 5 and 6. These helpful diagrams illustrate the transition from the sign convention used in matrix analysis to the classical beam sign convention used in diagrams for design.
EXPANDED COVERAGE CLEARLY EXPLAINS SHEAR DEFORMATIONS. The author has increased the discussion of shear formations in Chapter 9 to ensure students better understand this key concept.
NEW PHOTOGRAPHS AND REDESIGNED PAGES ASSIST IN STUDENT COMPREHENSION. This edition has replaced several photos with new, contemporary images that reflect new concepts and approaches. In addition, the presentation of material is redesigned to direct the readers' focus to critical content and enhance clarity.
UPGRADED COMPUTER SOFTWARE IS COMPATIBLE WITH THE LATEST VERSION OF MS WINDOWS. Students using this edition work with upgraded computer software that is recompiled to make it compatible with the latest versions of Microsoft Windows.

Features

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WELL-DEFINED LEARNING OBJECTIVES AND CHAPTER SUMMARIES HELP READERS MASTER KEY PRINCIPLES. Each chapter begins with focused learning objectives and ends with a valuable summary reviewing the chapter's most important content.
CLEAR PRESENTATION DOES NOT REQUIRE PRIOR KNOWLEDGE OF CLASSICAL METHODS OF STRUCTURAL ANALYSIS. Throughout this edition, all relationships necessary for matrix stiffness analysis are formulated using the basic principles of the mechanics of deformable bodies. This approach ensures even students without a prior knowledge of the classical methods of structural analysis can understand the material presented.
USE OF FINITE ELEMENT TERMINOLOGY PREPARES STUDENTS FOR ADVANCED COURSES. Basic stiffness relations are derived using both the traditional mechanics of materials principles and the finite element approach through the principle of virtual work. This approach familiarizes students with finite element terminology, such as shape functions, that they will encounter in more advanced courses.
KEY CONTENT INTRODUCES NONLINEAR STRUCTURAL ANALYSIS TO FAMILIARIZE STUDENTS WITH THIS INCREASINGLY POPULAR METHOD OF ANALYSIS. An entire chapter (Ch. 10) introduces and clarifies nonlinear structural analysis, covering the second-order analysis (or P-Δ and P-δ analysis) of frames. This prepares readers for additional advanced courses in structural analysis and equips them to work with this method.
MATLAB CODE REFERENCED IN THE TEXT APPEARS ON THE COMPANION WEBSITE. This MATLAB code, which appears in various flowcharts throughout the written book, is easily accessible to you, the instructor, on this edition's companion website.
UPDATED SOLUTIONS MANUAL SAVES YOU TIME WITH COMPLETE SOLUTIONS FOR TEXT EXERCISES. This edition's solutions manual includes carefully formulated, complete solutions to more than 200 text exercises, for your convenience.

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1. INTRODUCTION.
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 PLANE 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.
5. BEAMS.
Analytical Model. Member Stiffness Relations. Finite-Element Formulation 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. Condensation 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.