About the Book
This book is essential reading for 21st century practitioners and students who need to do structural analysis. It contains a great deal of information that is not available in any other book on the subject. This is because the conventional view of structural analysis is rooted in the early part of the 20th century in the pre-computer era rather than present time.
Table of Contents:
Chapter 1 Introduction, 1.1 Scope and definitions, 1.2 Why Modern Structural Analysis?, 1.3 Issues for practice, 1.4 Issues for education, 1.5 Finite elements, 1.6 Accuracy of the information provided in the text, 1.7 Website
Chapter 2 Basic principles in modelling, 2.1 Managing the analysis process, 2.1.1 Quality management system, 2.1.2 Use the modelling process, 2.1.3 Competence, 2.2 Modelling principles, 2.2.1 Use the simplest practical model, 2.2.2 Estimate results before you analyse, 2.2.3 Increment the complexity, 2.2.4 When you get results assume that they may be errors, 2.2.5 Trouble shooting, 2.2.6 Relationship between the analysis model and the design code of practice, 2.2.7 Case Study - The Ronan Point Collapse, 2.3 Principles in the use of structural mechanics, 2.3.1 Local and resultant stresses - the St Venant Principle, 2.3.2 Principle of superposition, 2.3.3 Lower bound theorem in plasticity, 2.4 Understanding structural behaviour, 2.4.1 General, 2.4.2 Model Validation, 2.4.3 Results verification/ Checking models, 2.4.4 Sensitivity analysis, 2.4.5 Solution comparisons, 2.4.6 Convergence analysis, 2.4.7 Identify patterns, 2.4.8 Mathematics, 2.4.9 Physical modelling, Testing
Chapter 3, The Modelling process, 3.1 Overview of the process, 3.1.1 General, 3.1.2 Representations of the modelling process, 3.1.3 Validation and verification, 3.1.4 Error and uncertainty, 3.2 Defining the system to be modelled, 3.3 The model development process, 3.3.1 Conceptual and computational Models, 3.3.2 Model options, 3.4 Validation of the analysis model, 3.4.1 Validation process, 3.4.2 Validating the conceptual model, 3.4.3 Validating the computational model, 3.5 The solution process, 3.5.1 Selecting Software, 3.5.2 Software Validation and Verification, 3.5.3 Truncation error, ill-conditioning, 3.6 Verifying the results, 3.6.1 Acceptance criteria for results, 3.6.2 Verification process, 3.6.3 Checking models, 3.6.4 Checking loadcase, 3.7 The Modelling review, 3.7.1 Sensitivity analysis, 3.7.2 Overall acceptance of the results, 3.7.3 The modelling review document, 3.8 Case studies, 3.8.1 The Tay Rail Bridge disaster, 3.8.2 The Hartford, Connecticut roof collapse, 3.8.3 Case Study - the Sleipner Platform collapse
Chapter 4 Modelling with finite elements, 4.1 Introduction, 4.2 Elements, 4.2.1 Constitutive relationships, 4.2.2 Line elements, 4.2.3 Surface elements, 4.2.4 Volume elements, 4.2.5 Joint elements, 4.2.6 Basic principles for the derivation of finite element stiffness matrices, 4.3 Mesh refinement, 4.3.1 Discretisation error, 4.3.2 Convergence, 4.3.3 Singularities, 4.3.4 Benchmark tests, 4.3.5 Case Study - Mesh layouts for a cantilever bracket, 4.3.6 Meshing principles, 4.4 Case Study - Convergence analysis of a plane stress cantilever beam model, 4.4.1 General, 4.4.2 The context, 4.4.3 Elements used in the convergence analysis, 4.4.4 Reference solution, 4.4.5 Convergence parameters, 4.4.6 Meshes, 4.4.7 Results, 4.4.8 Overview, 4.5 Constraints, 4.5.1 General, 4.5.2 Rigid constraint conditions 4.5.3 Constraint equations, 4.6 Symmetry,4.6.1 General, 4.6.2 Mirror Symmetry, 4.6.3 Symmetry checking
Chapter 5 Skeletal frames - Modelling with line elements 5.1 General, 5.2 Bending, 5.2.1 Background, 5.2.2 Behaviour, 5.2.3 Basic relationships for bending, 5.2.4 Symmetric and asymmetric bending, 5.2.5 Shear in bending, 5.2.6 Combined bending and shear, 5.2.7 Validation information for Engineers Theory of Bending, 5.3 Axial effects, 5.3.1 Behaviour, 5.3.2 Basic relationships, 5.3.3 Validation information, 5.4 Torsion, 5.4.1 Behaviour, 5.4.2 Basic relationships for shear torsion 5.4.3 Basic relationships for bending torsion 5.4.4 Combined torsion 5.4.5 Validation information for torsion 5.5 Beam elements and bar elements5.5.1 Bar elements 5.5.2 Engineering beam elements 5.5.3 Higher order beam elements 5.6 Connections5.6.1 Basic connection types 5.6.2 Treatment of the finite depth of a beam using beam elements 5.6.3 Modellin
