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Modern Structural Analysis
註釋- 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 Engineer's 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