Structural Theorems and Their Applications
The Commonwealth and International Library: Structures and Solid Body Mechanics Division
- 208 pages
- English
- PDF
- Available on iOS & Android
Structural Theorems and Their Applications
The Commonwealth and International Library: Structures and Solid Body Mechanics Division
About This Book
Structural Theorems and Their Applications is an account of the various structural theorems and their applications. Topics covered range from the principles of superposition to virtual work and energy concepts, calculation of deflections, and analysis of indeterminate structures using the compatibility and equilibrium methods. Reciprocal theorems and theorems of plastic analysis for plane frames are also discussed. This book is comprised of eight chapters and begins with an overview of the problems of structural analysis and the importance of the principle of virtual work in this regard, followed by an analysis of the principles of superposition. The next chapter is devoted to virtual work and energy concepts such as strain energy and complementary energy. The principle of virtual work is used in the subsequent chapters as the basis for all of the indirect methods of structural analysis described in the text, including the analysis of indeterminate structures using the compatibility method and the equilibrium method. The principle of virtual work is also used to prove the reciprocal theorems and to establish the various theorems of plastic and incremental collapse for framed structures. This monograph will be of interest to mechanical and structural engineers.
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Table of contents
- Front Cover
- Structural Theorems and their Applications
- Copyright Page
- Table of Contents
- Preface
- CHAPTER 1. THE PROBLEMS OF STRUCTURAL ANALYSIS
- CHAPTER 2. PRINCIPLES OF SUPERPOSITION
- CHAPTER 3. VIRTUAL WORK AND ENERGY CONCEPTS
- CHAPTER 4. INDETERMINATE STRUCTURES BY THE COMPATIBILITY METHOD
- CHAPTER 5. CALCULATION OF DEFLECTIONS
- CHAPTER 6. INDETERMINATE STRUCTURES BY THE EQUILIBRIUM METHOD
- CHAPTER 7. RECIPROCAL THEOREMS
- CHAPTER 8. THEOREMS OF PLASTIC ANALYSIS FOR PLANE FRAMES
- APPENDIX A. PROOF OF PRINCIPLE OF VIRTUAL WORK FOR PLANE FRAMES
- BIBLIOGRAPHY
- RECOMMENDED FURTHER READING
- INDEX