Matrix Analysis of Structures, SI Edition

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.

• 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.