Basic Structural Analysis

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