<?
include("include.php");
printheader(1, "Contents");

$chap = array(); 

$chap[1][0][0]="Introduction";
$chap[1][1][0]="Scope and definitions";
$chap[1][2][0]="Why 'Modern' Structural Analysis?";
$chap[1][3][0]="Issues for practice";
$chap[1][4][0]="Issues for education";
$chap[1][5][0]="Finite elements";
$chap[1][6][0]="Accuracy of the information provided in the text";
$chap[1][7][0]="Website";

$chap[2][0][0]="Basic principles in modelling";
$chap[2][1][0]="Managing the analysis process";
$chap[2][1][1]="Quality management system";
$chap[2][1][2]="Use the modelling process";
$chap[2][1][3]="Competence";
$chap[2][2][0]="Modelling principles";
$chap[2][2][1]="Use the simplest practical model";
$chap[2][2][2]="Estimate results before you analyse";
$chap[2][2][3]="Increment the complexity";
$chap[2][2][4]="When you get results assume that they may be errors";
$chap[2][2][5]="Trouble shooting";
$chap[2][2][6]="Relationship between the analysis model and the design code of practice";
$chap[2][2][7]="Case Study  -   The Ronan Point Collapse";
$chap[2][3][0]="Principles in the use of structural mechanics";
$chap[2][3][1]="Local and resultant stresses   -  the St Venant Principle";
$chap[2][3][2]="Principle of superposition";
$chap[2][3][3]="Lower bound theorem in plasticity";
$chap[2][4][0]="Understanding structural behaviour";
$chap[2][4][1]="General";
$chap[2][4][2]="Model Validation";
$chap[2][4][3]="Results verification/ Checking models";
$chap[2][4][4]="Sensitivity analysis";
$chap[2][4][5]="Solution comparisons";
$chap[2][4][6]="Convergence analysis";
$chap[2][4][7]="Identify patterns";
$chap[2][4][8]="Mathematics";
$chap[2][4][9]="Physical modelling, Testing";

$chap[3][0][0]="The Modelling  process";
$chap[3][1][0]="Overview of the process";
$chap[3][1][1]="General";
$chap[3][1][2]="Representations of the modelling process";
$chap[3][1][3]="Validation and verification";
$chap[3][1][4]="Error and uncertainty";
$chap[3][2][0]="Defining the system to be modelled";
$chap[3][3][0]="The model development process";
$chap[3][3][1]="Conceptual and computational Models";
$chap[3][3][2]="Model options";
$chap[3][4][0]="Validation of the analysis model";
$chap[3][4][1]="Validation process";
$chap[3][4][2]="Validating the conceptual model";
$chap[3][4][3]="Validating the computational model";
$chap[3][5][0]="The solution process";
$chap[3][5][1]="Selecting Software";
$chap[3][5][2]="Software Validation and Verification";
$chap[3][5][3]="Truncation error, ill-conditioning";
$chap[3][6][0]="Verifying the results";
$chap[3][6][1]="Acceptance criteria for results";
$chap[3][6][2]="Verification process";
$chap[3][6][3]="Checking models";
$chap[3][6][4]="Checking loadcase";
$chap[3][7][0]="The Modelling review";
$chap[3][7][1]="Sensitivity analysis";
$chap[3][7][2]="Overall acceptance of the results";
$chap[3][7][3]="The modelling review document";
$chap[3][8][0]="Case studies";
$chap[3][8][1]="The Tay Rail Bridge disaster";
$chap[3][8][2]="The Hartford, Connecticut roof collapse";
$chap[3][8][3]="Case Study - the Sleipner Platform collapse";

$chap[4][0][0]="Modelling with finite elements";
$chap[4][1][0]="Introduction";
$chap[4][2][0]="Elements";
$chap[4][2][1]="Constitutive relationships";
$chap[4][2][2]="Line elements";
$chap[4][2][3]="Surface elements";
$chap[4][2][4]="Volume elements";
$chap[4][2][5]="Joint elements";
$chap[4][2][6]="Basic principles for the derivation of finite element stiffness matrices";
$chap[4][3][0]="Mesh refinement";
$chap[4][3][1]="Discretisation error";
$chap[4][3][2]="Convergence";
$chap[4][3][3]="Singularities";
$chap[4][3][4]="Benchmark tests";
$chap[4][3][5]="Case Study   -   Mesh layouts for a cantilever bracket";
$chap[4][3][6]="Meshing principles";
$chap[4][4][0]="Case Study  -  Convergence analysis of a plane stress cantilever beam model";
$chap[4][4][1]="General";
$chap[4][4][2]="The context";
$chap[4][4][3]="Elements used in the convergence analysis";
$chap[4][4][4]="Reference solution";
$chap[4][4][5]="Convergence parameters";
$chap[4][4][6]="Meshes";
$chap[4][4][7]="Results";
$chap[4][4][8]="Overview";
$chap[4][5][0]="Constraints";
$chap[4][5][1]="General";
$chap[4][5][2]="Rigid constraint conditions";
$chap[4][5][3]="Constraint equations";
$chap[4][6][0]="Symmetry";
$chap[4][6][1]="General";
$chap[4][6][2]="Mirror Symmetry";
$chap[4][6][3]="Symmetry checking";

$chap[5][0][0]="Skeletal frames - Modelling with line elements";
$chap[5][1][0]="General";
$chap[5][2][0]="Bending";
$chap[5][2][1]="Background";
$chap[5][2][2]="Behaviour";
$chap[5][2][3]="Basic relationships for bending";
$chap[5][2][4]="Symmetric and asymmetric bending";
$chap[5][2][5]="Shear in bending";
$chap[5][2][6]="Combined bending and shear";
$chap[5][2][7]="Validation information for Engineer's Theory of Bending";
$chap[5][3][0]="Axial effects";
$chap[5][3][1]="Behaviour";
$chap[5][3][2]="Basic relationships";
$chap[5][3][3]="Validation information";
$chap[5][4][0]="Torsion";
$chap[5][4][1]="Behaviour";
$chap[5][4][2]="Basic relationships for shear torsion";
$chap[5][4][3]="Basic relationships for bending torsion";
$chap[5][4][4]="Combined torsion";
$chap[5][4][5]="Validation information for torsion";
$chap[5][5][0]="Beam elements and bar elements";
$chap[5][5][1]="Bar elements";
$chap[5][5][2]="Engineering beam elements";
$chap[5][5][3]="Higher order beam elements";
$chap[5][6][0]="Connections";
$chap[5][6][1]="Basic connection types";
$chap[5][6][2]="Treatment of the finite depth of a beam using beam elements";
$chap[5][6][3]="Modelling beam to column connections in steelwork";
$chap[5][6][4]="Connections in concrete";
$chap[5][6][5]="Eccentricity of members at a joint";
$chap[5][7][0]="Distribution of load in skeletal frames";
$chap[5][7][1]="Vertical load in beam systems";
$chap[5][7][2]="Distribution of lateral load";
$chap[5][8][0]="Modelling  curved and non-uniform members";
$chap[5][8][1]="Curved members";
$chap[5][8][2]="Case study -     Modelling of curved beams";
$chap[5][8][3]="Modelling members with non-uniform cross section";
$chap[5][8][4]="Case study - Tapered cantilever";
$chap[5][8][5]="Cantilever with a tapered soffit";
$chap[5][8][6]="Haunched beams";
$chap[5][9][0]="Triangulated frames";
$chap[5][9][1]="Modelling issues";
$chap[5][9][2]="Euler buckling effect of members";
$chap[5][10][0]="Equivalent beam model for parallel chord trusses";
$chap[5][10][1]="General";
$chap[5][10][2]="Definitions";
$chap[5][10][3]="Behaviour";
$chap[5][10][4]="Equivalent beam model";
$chap[5][11][0]="Vierendeel frames";
$chap[5][11][1]="Definitions";
$chap[5][11][2]="Behaviour";
$chap[5][11][3]="Equivalent beam model";
$chap[5][12][0]="Grillage models";
$chap[5][13][0]="3D Models";
$chap[5][14][0]="Plastic collapse of frames";
$chap[5][14][1]="Prediction of collapse loads  - limit analysis";
$chap[5][14][2]="Prediction of plastic collapse using an iterated elastic analysis";
$chap[5][14][3]="Prediction of plastic collapse using a finite element solution     40";
$chap[5][14][4]="Validation information";

$chap[6][0][0]="Plates in bending, slabs";
$chap[6][1][0]="Introduction";
$chap[6][2][0]="Plate bending elements";
$chap[6][2][1]="Plate bending element basics";
$chap[6][2][2]="Validation information for biaxial plate bending";
$chap[6][2][3]="Output stresses and moments";
$chap[6][2][4]="Checking models for plates in bending";
$chap[6][3][0]="Concrete slabs";
$chap[6][3][1]="General";
$chap[6][3][2]="Element models for slab analysis";
$chap[6][3][3]="Reinforcing moments and forces for concrete slabs";
$chap[6][3][4]="Beam supported slabs  -  Basic modelling principles";
$chap[6][3][5]="Modelling the effect of eccentricity of beams in relation to the slab centreline";
$chap[6][3][6]="Shear lag effect";
$chap[6][3][7]="Plate grillage models for concrete slabs";
$chap[6][3][8]="Ribbed Slabs";
$chap[6][3][9]="Plastic Collapse of Concrete Slabs  -  The Yield line method";

$chap[7][0][0]="Material models";
$chap[7][1][0]="Introduction";
$chap[7][2][0]="Linear elastic behaviour";
$chap[7][2][1]="General";
$chap[7][2][2]="Types of elastic behaviour";
$chap[7][2][3]="Values of elastic constants";
$chap[7][2][4]="Validation information for linear elastic materials";
$chap[7][3][0]="Non-linear material behaviour";
$chap[7][3][1]="Plasticity";
$chap[7][3][2]="Other non-linear constitutive relationships";

$chap[8][0][0]="Support models";
$chap[8][1][0]="Introduction";
$chap[8][2][0]="Modelling support fixity";
$chap[8][2][1]="General";
$chap[8][2][2]="Support requirements";
$chap[8][2][3]="Roller supports";
$chap[8][2][4]="Pin supports";
$chap[8][2][5]="Rotational  restraint at a cantilever support";
$chap[8][2][6]="Rotational restraints at column bases";
$chap[8][2][7]="Slab supports";
$chap[8][3][0]="Modelling the ground";
$chap[8][3][1]="General";
$chap[8][3][2]="The Winkler model for soil behaviour";
$chap[8][3][3]="Half space models";
$chap[8][3][4]="Finite element models";
$chap[8][4][0]="Foundation structures";
$chap[8][4][1]="Ground beams";
$chap[8][4][2]="Raft foundations";
$chap[8][4][3]="Piles";

$chap[9][0][0]="Loading";
$chap[9][1][0]="Introduction";
$chap[9][2][0]="Dead Loading";
$chap[9][3][0]="Live loading";
$chap[9][4][0]="Wind loading";
$chap[9][5][0]="Earthquake loading";
$chap[9][6][0]="Fire";
$chap[9][7][0]="Temperature";
$chap[9][7][1]="General";
$chap[9][7][2]="Basic relationships";
$chap[9][8][0]="Influence lines for moving loads";
$chap[9][8][1]="General";
$chap[9][8][2]="Basic concept";
$chap[9][8][3]="Using influence lines";
$chap[9][8][4]="Defining influence lines";
$chap[9][8][5]="Validation information for the use of the Mueller-Breslau method for defining influence lines";
$chap[9][9][0]="Prestressing";
$chap[9][10][0]="Impact loading";
$chap[9][11][0]="Gravity impact";

$chap[10][0][0]="Non-linear geometry";
$chap[10][1][0]="Introduction";
$chap[10][1][1]="Basic behaviour";
$chap[10][1][2]="Cantilever strut example  -  the P-D effect";
$chap[10][2][0]="Modelling for geometric non-linearity";
$chap[10][2][1]="Using the non-linear geometry option in FE packages";
$chap[10][2][2]="Use of the critical load ratio magnification factor";
$chap[10][2][3]="Case study  -  Non-linear geometry analysis of a cantilever";
$chap[10][2][4]="Validation information for non-linear geometry effects";
$chap[10][3][0]="Critical load analysis of skeletal frames";
$chap[10][3][1]="The Euler critical load for single members";
$chap[10][3][2]="No-sway instability of a column in a frame";
$chap[10][3][3]="The critical load ratio for an axially loaded member of a frame";
$chap[10][3][4]="Estimation of critical loads using eigenvalue extraction";
$chap[10][3][5]="Case study   -    Eigenvalue analysis of a cantilever strut";
$chap[10][4][0]="Global critical load analysis of building structures";

$chap[11][0][0]="Dynamic behaviour";
$chap[11][1][0]="General";
$chap[11][2][0]="Dynamic behaviour of a single mass and spring system";
$chap[11][2][1]="Governing equation";
$chap[11][2][2]="Validation information for Equation (14.1)";
$chap[11][2][3]="Free undamped vibration";
$chap[11][2][4]="Damping";
$chap[11][3][0]="Multi-degree of freedom systems";
$chap[11][3][1]="Basic behaviour";
$chap[11][3][2]="Governing equation for multi-degree of freedom systems";
$chap[11][3][3]="Modelling for dynamic eigenvalue extraction";
$chap[11][3][4]="Verification of output for dynamic models";
$chap[11][4][0]="Resonance";
$chap[11][5][0]="Transient load";
$chap[11][6][0]="Checking models for natural frequencies";
$chap[11][6][1]="Single span beams";
$chap[11][6][2]="The maximum deflection formula";
$chap[11][6][3]="Case study  -  use of Equation (11.11)";
$chap[11][6][4]="Single mass and spring";
$chap[11][6][5]="Combinations of Frequencies";

$chap[12][0][0]="Case studies";
$chap[12][1][0]="Vierendeel frame";
$chap[12][1][1]="General";
$chap[12][1][2]="Definition of the system to be modelled -  the engineering model";
$chap[12][1][3]="Model development";
$chap[12][1][4]="The Analysis model";
$chap[12][1][5]="Model validation";
$chap[12][1][6]="Results verification";
$chap[12][1][7]="Sensitivity analysis";
$chap[12][1][8]="Overall acceptance";
$chap[12][1][9]="Modelling review document";
$chap[12][2][0]="Example 2    Four storey building";
$chap[12][2][1]="General";
$chap[12][2][2]="Definition of the system to be modelled -  the Engineering Model";
$chap[12][2][3]="Model development";
$chap[12][2][4]="Model validation";
$chap[12][2][5]="Results Verification";
$chap[12][2][6]="Sensitivity analysis";
$chap[12][2][7]="Model Review";

$chap[13][0][0] = "Appendix A";
$chap[13][1][0] = "Areas and second moments of area of standard shapes";
$chap[13][2][0] = "Shear areas for beams";
$chap[13][3][0] = "J values and shear stress formulae for shear torsion of different cross sections";
$chap[13][4][0] = "Deflection formulae for beams";
$chap[13][5][0] = "End displacement of axially loaded members";
$chap[13][6][0] = "Typical physical properties for structural materials";
$chap[13][7][0] = "Typical values of Winkler stiffness for soils";
$chap[13][8][0] = "Typical values for modulus of elasticity for soils - Es";
$chap[13][9][0] = "Typical Poisson's ratios for soils";

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