Basic Structural Analysis, 3Rd Edn

Cover Contents Chapter1. Introduction to Structural Analysis 1.1 Forms of Structures 1.2 Analysis and Design 1.3 Loads and Forces 1.4 Idealization of Structures 1.5 Supports and Connections—Conventional Representation 1.6 Elastic and Linear Behaviour of Structures 1.7 Principle of Superposition Chapter 2. Statics of Structures 2.1 Equations of Equilibrium 2.2 Free-Body Diagrams 2.3 Sign Convention 2.4 Simple Cable and Arch Structures 2.5 Arches 2.6 Graphic Statics Problems for Practice Chapter 3. Plane Trusses 3.1 Introduction 3.2 Plane Truss 3.3 Geometric Stability and Static Determinancy of Trusses 3.4 Analysis of Trusses 3.5 Compound and Complex Trusses 3.6 Graphical Analysis of Trusses Problems for Practice Chapter 4. Space Trusses 4.1 Introduction 4.2 Simple Space Truss 4.3 Types of Supports 4.4 Equilibrium and Stability Conditions 4.5 Analysis of Space Trusses Problems for Practice Chapter 5. Displacements—Geometric Methods 5.1 Defl ected Shapes 5.2 Moment-Area Method 5.3 Conjugate Beam Method 5.4 Defl ection of Trusses—Graphical Method Problems for Practice Chapter 6. Displacements—Energy Methods 6.1 Introduction 6.2 Forms of Elastic Strain Energy 6.3 Strain Energy in Members 6.4 Energy Relations in Structural Theory 6.5 Virtual Work 6.6 Betti’s and Maxwell’s Laws of Reciprocal Defl ections 6.7 Applications of Virtual Work 6.8 Defl ection of Trusses and Frames 6.9 Castigliano’s Theorems Problems for Practice Chapter 7. Rolling Loads and Infl uence Lines 7.1 Introduction 7.2 A Single Concentrated Load 7.3 Uniformly Distributed Load Longer than the Span 7.4 Uniformly Distributed Load Shorter than Span 7.5 Two Concentrated Loads 7.6 Series of Concentrated Loads 7.7 Equivalent U.D.L 7.8 Infl uence Lines 7.9 Infl uence Lines for Panelled Beams 7.10 Infl uence Lines for Truss Members 7.11 Infl uence Lines for Three-Hinged Arches 7.12 Infl uence Lines from Defl ected Shapes Problems for Practice Chapter 8. Cables and Suspension Bridges 8.1 Introduction 8.2 Cables 8.3 Stiffening Girders 8.4 Three-Hinged Stiffening Girder 8.5 Infl uence Lines for Stiffening Girder 8.6 Two-Hinged Stiffening Girder Problems for Practice Chapter 9. Approximate Analysis of Statically Indeterminate Structures 9.1 Introduction 9.2 Methods of Analysis 9.3 Portal Method 9.4 Cantilever Method Problems for Practice Chapter 10. Indeterminate Structures—Compatibility Methods 10.1 Introduction 10.2 Degree of Indeterminancy and Stability of Structures 10.3 Analysis of Indeterminate Structures 10.4 Flexibility Coeffi cients 10.5 Theorem of Three Moments 10.6 The Method of Least Work 10.7 Two-Hinged Arches 10.8 Infl uence Lines for Continuous Members Problems for Practice Chapter 11. Slope-Defl ection Method 11.1 Introduction 11.2 Sign Convention 11.3 Development of Slope-Defl ection Equations 11.4 Analysis of Continuous Beams 11.5 Analysis of Frames with No Lateral Translation of Joints 11.6 Analysis of Frames with Lateral Translation of Joints Problems for Practice Chapter 12. Moment Distribution Method 12.1 Introduction 12.2 Development of Method 12.3 Analysis of Frames with No Lateral Translation of Joints 12.4 Analysis of Frames with Lateral Translation of Joints 12.5 Symmetrical Frames 12.6 Multistorey Frames 12.7 No-Shear Moment Distribution Problems for Practice Chapter 13. Kani’s Method 13.1 Introduction 13.2 Basic Concept 13.3 Frames without Lateral Translation of Joints 13.4 Frames with Lateral Translation of Joints 13.5 General Case—Storey Columns Unequal in Height and Bases Fixed or Hinged Problems for Practice Chapter 14. Column Analogy 14.1 Introduction 14.2 Development of the Method 14.7 Analysis of Frames by the Column Analogy Method 14.4 Gable Frames 14.5 Analysis of Unsymmetrical Frames Problems for Practice Chapter 15. Matrix Methods of Structural Analysis 15.1 Introduction 15.2 Stiffness and Flexibility Coeffi cients 15.3 Member Stiffness and Flexibility Matrices 15.4 Energy Concepts in Structures 15.5 Maxwell’s and Betti’s Reciprocal Defl ections 15.6 Strain Energy in Elements and Systems Problems for Practice Chapter 16. Transformation of Information in Structures through Matrices 16.1 Transformation of System Forces to Element Forces 16.2 Transformation of System Displacements to Element Displacements 16.3 Transformation of Element Flexibility Matrices to System Flexibility Matrix 16.4 Transformation of Element Stiffness Matrices to System Stiffness Matrix 16.5 Transformation of Forces and Displacements in General 16.6 Transformation of Information from Member Coordinates to Structure Coordinates and Vice Versa Problems for Practice Chapter 17. Flexibility or Force Method of Analysis 17.1 Introduction 17.2 Generalised Method of Analysis 17.3 Statically Determinate Structures 17.4 Statically Indeterminate Structures 17.5 Temperature Stresses, Lack of Fit, Support Settlements, Etc. Problems for Practice Chapter 18. Stiffness or Displacement Method of Analysis 18.1 Introduction 18.2 Development of Stiffness Matrix for a Pin-Jointed Structure 18.3 Development of Method for a Structure Having Forces at all Degrees of Freedom 18.4 Development of Method for a General Case 18.5 Direct Stiffness Method 18.6 Analysis by Tridiagonalization of Stiffness Matrix 18.7 Comparison of Flexibility and Stiffness Methods Problems for Practice Chapter 19. Plastic Analysis of Steel Structures 19.1 Introduction 19.2 Stress-Strain Curve 19.3 Plastic Moment 19.4 Methods of Analysis 19.5 Gable Frames or Frames with Inclined Members 19.6 Two Bay Portal Frame Problems for Practice Appendix A Appendix B Appendix C Appendix D Objective Type Questions Answers Bibliography Index The new edition of this book presents the basic principles of classical and matrix structural analysis. It provides a smooth transition from the classical approaches that are based on physical behaviour of structures in terms of their deflected shapes to a formal treatment of a general class of structures by means of matrix formulation in order to understand how the structural problems can be formulated in order to make them suitable for computer programming. Features: ? Offers complete coverage with respect to both classical and matrix approaches. ? The scope of fixed beams is enlarged by including a large number of worked-out examples covering point loads, uniform and varying loads, applied couples and effect of sinking and rotation of supports ? Includes tension coefficient method in the analysis of plane trusses and space trusses