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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
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Searching... | 30000010306222 | TA645 M384 2012 | Open Access Book | Book | Searching... |
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Summary
Summary
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.
Author 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.
Table of Contents
Preface | p. vii |
Acknowledgments | p. ix |
1 Truss Analysis: Matrix Displacement Method | p. 1 |
1.1 What Is a Truss? | p. 1 |
1.2 A Truss Member | p. 2 |
1.3 Member Stiffness Equation in Global Coordinates | p. 4 |
1.4 Unconstrained Global Stiffness Equation | p. 11 |
1.5 Constrained Global Stiffness Equations and Its Solution | p. 17 |
1.6 Procedures of Truss Analysis | p. 19 |
1.7 Kinematic Stability | p. 26 |
1.8 Summary | p. 28 |
2 Truss Analysis: Force Method-Part I | p. 31 |
2.1 Introduction | p. 31 |
2.2 Statically Determinate Plane Truss Types | p. 32 |
2.3 Method of Joints and Method of Sections | p. 34 |
2.4 Matrix Method of Joints | p. 55 |
3 Truss Analysis: Force Method-Part II | p. 67 |
3.1 Truss Deflection | p. 67 |
3.2 Indeterminate Truss Problems: Method of Consistent Deformations | p. 81 |
3.3 Laws of Reciprocity | p. 87 |
3.4 Concluding Remarks | p. 89 |
4 Beam and Frame Analysis: Force Method-Part I | p. 91 |
4.1 What Are Beams and Frames? | p. 91 |
4.2 Statical Determinacy and Kinematic Stability | p. 92 |
4.3 Shear and Moment Diagrams | p. 98 |
4.4 Statically Determinate Beams and Frames | p. 105 |
5 Beam and Frame Analysis: Force Method-Part II | p. 117 |
5.1 Deflection of Beams and Frames | p. 117 |
5.2 Integration Methods | p. 118 |
5.3 Energy Methods | p. 127 |
5.4 Frame Deflection | p. 138 |
6 Beam and Frame Analysis: Force Method-Part III | p. 145 |
6.1 Statically Indeterminate Beams and Frames | p. 145 |
6.2 Indeterminate Beam Analysis | p. 145 |
6.3 Indeterminate Frame Analysis | p. 154 |
7 Beam and Frame Analysis: Displacement Method-Part I | p. 165 |
7.1 Introduction | p. 165 |
7.2 Moment Distribution Method | p. 165 |
8 Beam and Frame Analysis: Displacement Method-Part II | p. 197 |
8.1 Slope-Deflection Method | p. 197 |
8.2 Matrix Stiffness Analysis of Frames | p. 218 |
9 Influence Lines | p. 233 |
9.1 What Is an Influence Line? | p. 233 |
9.2 Beam Influence Lines | p. 234 |
9.3 Truss Influence Lines | p. 244 |
10 Other Topics | p. 253 |
10.1 Introduction | p. 253 |
10.2 Non-Prismatic Beam and Frame Members | p. 253 |
10.3 Effects of Support Movement, Temperature, and Construction Error | p. 257 |
10.4 Secondary Stresses in Trusses | p. 263 |
10.5 Composite Structures | p. 265 |
10.6 Materials Nonlinearity | p. 267 |
10.7 Geometric Nonlinearity | p. 268 |
10.8 Structural Stability | p. 271 |
10.9 Dynamic Effects | p. 273 |
10.10 Finite Element Method | p. 276 |
Appendix A Matrix Algebra Review | p. 279 |
Appendix B Supplementary Review Notes | p. 289 |
Index | p. 315 |