Chapter-wise Contents

Part I

Part II

Part III

Part IV

Part V

• Part I: Fundamentals

  1. Structure 1.1

  1.1 Structural Analysis 1.1
  1.2 Structure 1.4
  1.3 Structural System 1.5
  1.4 Structural Idealisation 1.5
  1.5 Structural Elements 1.7
  1.6 Joints and Internal Stability 1.18
  1.7 Supports and External Stability 1.27
  1.8 Redundancy and Static Indeterminacy 1.34
  1.9 Overall Stability and Static Indeterminacy 1.42
  1.10 Kinematic Indeterminacy 1.45
  1.11 Requirements of a Structure 1.47
  Review Questions 1.48

  2. Load 2.1

  2.1 Loads 2.1
  2.2 Direct Actions 2.2
  2.3 Indirect Loading 2.3
  Review Questions 2.10

  3. Response 3.1

  3.1 Response 3.1
  3.2 Equilibrium of Forces 3.4
  3.3 Compatibility of Displacements 3.10
  3.4 Force - Displacement Relations 3.14
  3.5 Levels of Structural Analysis 3.21
  3.6 Closure 3.26
  Review Questions 3.26

• Part II: Force Response in Statically Determinate Structures

  4. Support Reactions 4.1

  4.1 Introduction 4.1
  4.2 Direct Application of Equilibrium 4.2
  4.3 Introduction to Principle of Virtual Work 4.17
  Review Questions 4.33
  Problems 4.33

  5. Internal Forces in Beams 5.1

  5.1 Introduction 5.1
  5.2 Notation and Sign Convention 5.2
  5.3 Basic Differential Equations of Equilibrium in a Beam 5.9
  5.4 Integral Relations 5.10
  5.5 Understanding Flexural Behaviour 5.14
  5.6 Concentrated Loads 5.22
  5.7 Application of Principle of Virtual Displacements 5.26
  5.8 Symmetry in Loading and Response 5.28
  5.9 Examples 5.30
  Review Questions 5.43
  Problems 5.44

  6. Axial Forces in Trusses 6.1

  6.1 Introduction 6.1
  6.2 Types of Plane Trusses 6.5
  6.3 Stability and Static Determinacy 6.8
  6.4 Comparison of Truss Action with Beam Action 6.15
  6.5 Identifying Member Forces Through Inspection 6.17
  6.6 Analysis of Trusses 6.20
  Review Questions 6.42
  Problems 6.43

  7. Axial Forces in Cables and Funicular Arches 7.1

  7.1 Introduction 7.1
  7.2 Funicular Polygon 7.4
  7.3 Cables with Concentrated Loads 7.9
  7.4 Cables with Distributed Loads 7.17
  7.5 Influences of Elastic Stretch, Temperature change and Support Slip on Maximum Cable Tension 7.31
  7.6 Cable Suspended Bridges 7.35
  7.7 Funicular Arch 7.45
  7.8 Non-Funicular Behaviour of Arches 7.49
  Review Questions 7.58
  Problems 7.59

  8. Internal Forces in Frames 8.1

  8.1 Introduction 8.1
  8.2 Response of Simple Rigid-Jointed Frames 8.3
  8.3 Simple Cantilever Frames 8.8
  8.4 Simply Supported Frames 8.12
  8.5 Three-Hinged Arches and Frames 8.18
  Review Questions 8.34
  Problems 8.35

  9. Influence Lines 9.1

  9.1 Introduction 9.1
  9.2 Drawing Influence Lines 9.3
  9.3 Simply Supported Beams 9.6
  9.4 Other Statically Determinate Beams 9.26
  Review Questions 9.51
  Problems 9.52

• Part III: Displacement Response in Statically Determinate Structures

  10. Deflection in Beams: Conventional Methods 10.1

  10.1 Introduction 10.1
  10.2 Direct Integration Method 10.2
  10.3 Displacements in Practice 10.15
  10.4 Moment-Area Method 10.20
  10.5 Conjugate Beam Method 10.26
  Review Questions 10.42
  Problems 10.44

  11. Principle of Virtual Forces 11.1

  11.1 Introduction 11.1
  11.2 Validation of Principle of Virtual Work 11.2
  11.3 Expressions for Internal Virtual Work 11.9
  11.4 Demonstration of Dummy Load Method 11.12
  11.5 Unit Load Method 11.14
  11.6 Reciprocal Theorems 11.38
  Review Questions 11.50
  Problems 11.51

  12. Energy Methods 12.1

  12.1 Introduction 12.1
  12.2 Basic Energy Concepts 12.3
  12.3 Energy Principles Based on Displacement Field 12.42
  12.4 Energy Principles Based on Force Field 12.59
  Review Questions 12.87
  Problems 12.88

• Part IV: Statically indeterminate Structures: Force Methods

  13. Introduction to Force Methods 13.1

  13.1 Introduction 13.1
  13.2 Static Indeterminacy and Choice of Redundants 13.4
  13.3 Application of Betti's Theorem 13.8
  13.4 Application of Conjugate Beam Method 13.22
  13.5 Theorem of Three Moments 13.39
  13.6 Axial Forces in Two-hinged and Fixed Beams 13.57
  Review Questions 13.62
  Problems 13.63

  14. Method of Consistent Deformations 14.1

  14.1 Introduction 14.1
  14.2 Formulation of Method of Consistent Deformations 14.2
  14.3 Application to Statically Indeterminate Beams 14.7
  14.4 Application to Statically Indeterminate Pin-jointed Plane Frames 14.20
  14.5 Application to Statically Indeterminate Rigid-jointed Plane Frames 14.33
  14.6 Application to Systems with Elastic Supports 14.56
  Review Questions 14.71
  Problems 14.72

  15. Theorem of Least Work 15.1

  15.1 Introduction 15.1
  15.2 Application to Statically Indeterminate Beams 15.2
  15.3 Application to Statically Indeterminate Pin-jointed Plane Frames 15.10
  15.4 Application to Statically Indeterminate Rigid-jointed Plane Frames and Arches 15.18
  15.5 Application to Systems with Springs 15.66
  Review Questions 15.77
  Problems 15.78

  16. Column Analogy Method 16.1

  16.1 Introduction 16.1
  16.2 Analysis of Fixed Beams and Propped Cantilevers 16.3
  16.3 Analysis of Symmetric Box and Portal Frames 16.37
  16.4 Analysis of Unsymmetric Frames 16.56
  16.5 Application to Statically Indeterminate Rigid-jointed Plane Frames 16.33
  16.6 Application to Systems with Elastic Supports 16.56
  Review Questions 16.63
  Problems 16.64

  17. Approximate Lateral Load Analysis of Building Frames 17.1

  17.1 Introduction 17.1
  17.2 Single Bay Frames 17.17
  17.3 Multi-Bay Frames - Portal Method 17.34
  17.4 Multi-Bay Frames - Cantilever Method 17.45
  Review Questions 17.61
  Problems 17.62

  18. Deflections in Statically Indeterminate Structures 18.1

  18.1 Introduction 18.1
  18.2 Application to Statically Indeterminate Beams 18.3
  18.3 Application to Statically Indeterminate Trusses 18.16
  18.4 Application to Statically Indeterminate Frames 18.22
  Review Questions 18.34
  Problems 18.35

• Part V: Kinematically indeterminate Structures: Displacement Methods

  19. Introduction to Displacement Methods 19.1

  19.1 Introduction 19.1
  19.2 Basic Approach of Displacement Methods 19.4
  19.3 Frames with Single Unknown Rotation 19.10
  19.4 Flexural Stiffness (Rotational) of Beam Element 19.14
  19.5 Frames with Multiple Unknown Rotations 19.24
  19.6 Equivalent Joint Loads 19.30
  19.7 Chord Rotations in Frame Elements 19.41
  19.8 Axial Stiffness 19.47
  Review Questions 19.51
  Problems 19.52

  20. Slope-Deflection Method 20.1

  20.1 Introduction 20.1
  20.2 Slope-Deflection Equations 20.2
  20.3 Application to 'Non-Sway' Problems 20.7
  20.4 Application to Structures with Unknown Sway 20.29
  Review Questions 20.60
  Problems 20.61

  21. Moment Distribution Method 21.1

  21.1 Introduction 21.1
  21.2 One-Cycle Moment Distribution 21.3
  21.3 Multiple-Cycle Moment Distribution 21.32
  Review Questions 21.58
  Problems 21.59

  22. Kani’s Method 22.1

  22.1 Introduction 22.1
  22.2 Beams and Frames with Rotational Degrees of Freedom 22.3
  22.3 Frames with Unknown Sway Degrees of Freedom 22.40
  Review Questions 22.57
  Problems 22.57

  Index