Introduction to Structural Analysis
Displacement and Force Methods
By S. T. Mau
CRC Press – 2012 – 328 pages
CRC Press – 2012 – 328 pages
Bridging the gap between what is traditionally taught in textbooks and what is actually practiced in engineering firms, Introduction to Structural Analysis: Displacement and Force Methods clearly explains the two fundamental methods of structural analysis: the displacement method and the force method. It also shows how these methods are applied, particularly to trusses, beams, and rigid frames.
Acknowledging the fact that virtually all computer structural analysis programs are based on the matrix displacement method of analysis, the text begins with the displacement method. A matrix operations tutorial is also included for review and self-learning. To minimize any conceptual difficulty readers may have, the displacement method is introduced with the plane truss analysis and the concept of nodal displacement.
The book then presents the force method of analysis for plane trusses to illustrate force equilibrium, deflection, statistical indeterminacy, and other concepts that help readers to better understand the behavior of a structure. It also extends the force method to beam and rigid frame analysis. Toward the end of the book, the displacement method reappears along with the moment distribution and slope-deflection methods in the context of beam and rigid frame analysis. Other topics covered include influence lines, non-prismatic members, composite structures, secondary stress analysis, and limits of linear and static structural analysis.
Integrating classical and modern methodologies, this book explains complicated analysis using simplified methods and numerous examples. It provides readers with an understanding of the underlying methodologies of finite element analysis and the practices used by professional structural engineers.
"This book covers most important materials of a first course on structural analysis. It is organized logically, presented concisely and written well. Classical analysis methods and modern matrix stiffness methods are of good balance. … a very readable textbook."
—Liang-Jenq Leu, Department of Civil Engineering, National Taiwan University, Taiwan
"This book has two important features that make it unique - Both the force and displacement methods of analysis are given equal emphasis, and the matrix method is introduced at a very early stage. While the force method is important for students to learn how structures behave, the displacement method on which the matrix method is based has indubitable practical significance. Dr. Mau has done a superb job in espousing both theory and practice in his textbook."
—Eric Lui, Syracuse University, New York, USA
Truss Analysis: Matrix Displacement Method
What Is a Truss?
A Truss Member
Member Stiffness Equation in Global Coordinates
Unconstrained Global Stiffness Equation
Constrained Global Stiffness Equation and Its Solution
Procedures of Truss Analysis
Truss Analysis: Force Method—Part IIntroduction
Statically Determinate Plane Truss Types
Method of Joints and Method of Sections
Matrix Method of Joints
Truss Analysis: Force Method—Part IITruss Deflection
Indeterminate Truss Problems: Method of Consistent Deformations
Laws of Reciprocity
Beam and Frame Analysis: Force Method—Part IWhat Are Beams and Frames?
Statical Determinacy and Kinematic Stability
Shear and Moment Diagrams
Statically Determinate Beams and Frames
Beam and Frame Analysis: Force Method—Part IIDeflection of Beams and Frames
Beam and Frame Analysis: Force Method—Part IIIStatically Indeterminate Beams and Frames
Indeterminate Beam Analysis
Indeterminate Frame Analysis
Beam and Frame Analysis: Displacement Method—Part IIntroduction
Moment Distribution Method
Beam and Frame Analysis: Displacement Method—Part IISlope-Deflection Method
Matrix Stiffness Analysis of Frames
Influence LinesWhat Is an Influence Line?
Beam Influence Lines
Truss Influence Lines
Non-Prismatic Beam and Frame Members
Effects of Support Movement, Temperature, and Construction Error
Secondary Stresses in Trusses
Finite Element Method
Appendix A: Matrix Algebra Review
Appendix B: Supplementary Review Notes
S.T. Mau, PhD, PE, is a professor in the Department of Civil Engineering and Applied Mechanics at California State University, Northridge. He was formerly Dean of Engineering at New Jersey Institute of Technology and California State University, Northridge, and department chair at National Taiwan University and University of Houston. He is also the co-author of a previous textbook, Elementary Theory of Structures, Fourth Edition (1995), and a recipient of the Moisseiff Award of the American Society of Civil Engineers.