Preface; Acknowledgements; Free Software; Conversion of SI Units to
Imperial Units; Conversion of SI Units to US Customary System; Part 1
Theory of Plates; 1 Plate Membrane Theory; 1.1 Introduction: Special
Case of a Plate, the Truss; 1.2 Membrane Plate Problem Statement; 1.2.1
Kinematic Equations; 1.2.2 Constitutive Equations; 1.2.3 Equilibrium
Equations; 1.2.4 The Displacement Method; 1.3 Boundary Conditions; 1.4
Message of the Chapter; 2 Applications of the Plate Membrane Theory; 2.1
Trial Solutions in the Form of Polynomials; 2.1.1 Homogeneous Stress
States; 2.1.2 Constant BendingMoment in Beam; 2.1.3 Constant Shear Force
in Beam; 2.2 Solution for aWall; 2.2.1 Beam Intermezzo; 2.2.2 Solution
for theWall; 2.2.3 Practical Application2.3 Stresses, Transformations
and Principal Stresses; 2.4 Other Applications; 2.5 Message of the
Chapter; 3 Thick Plates in Bending and Shear; 3.1 Introduction - Beam as
Special Case; 3.1.1 Illustration; 3.1.2 Simplification for Slender Beam;
3.1.3 Suppositions of Timoshenko Beam in Hindsight; 3.2 Outline of Thick
Plates; 3.2.1 Suppositions; 3.3 Basic Equations; 3.3.1 Kinematic
Equations; 3.3.2 Constitutive Equations; 3.3.3 Equilibrium Equations;
3.4 Differential Equations for Thick Plates; 3.5 Orthotropic Plate; 3.6
Twisted Plate Strip; 3.7 Message of the Chapter; 4 Thin Plates in
Bending; 4.1 Theory for Thin Plates; 4.2 Transformation Rules and
PrincipalMoments; 4.3 Principal Shear Force; 4.4 Boundary Conditions for
Thin Plates; 4.4.1 Clamped Edge; 4.4.2 Simply-Supported Edge; 4.4.3 Free
Edge; 4.4.4 Discontinuity in Thickness; 4.5 Message of the Chapter; 5
Rectangular Plate Examples; 5.1 Basic Bending Cases; 5.1.1 Cylindrical
Deflection; 5.1.2 Cylindrical Deflection of Arbitrary Shape; 5.1.3
Omni-Directional Bending; 5.2 Torsion Panel; 5.3 Two-Way Sine Load on
Square Plate; 5.3.1 Displacement; 5.3.2 Moments and Shear Forces; 5.3.3
Support Reactions; 5.3.4 Stiff Edge Beams; 5.4Twist-Less Plate; 5.5 Edge
Load on Viaduct; 5.6 Message of the Chapter; 6 Circular Membrane Plates;
6.1 Axisymmetric Circular Membrane Problems; 6.1.1 Thick-Walled Tube;
6.1.2 Circular Hole in a Homogeneous Stress State; 6.1.3 Curved Beam
Subjected to ConstantMoment; 6.2 Non-Axisymmetric Circular Membrane
Problems; 6.2.1 Point Load on a Half Plane; 6.2.2 Brazilian Splitting
Test; 6.2.3 Hole in Plates with Shear and Uniaxial Stress; 6.3 Message
of the Chapter; 7 Circular Thin Plates in Bending; 7.1 Derivation of the
Differential Equation; 7.2 Simply-Supported Circular Plate with Edge
Moment; 7.3 Clamped Circular Plate with Distributed Load; 7.4
Simply-Supported Circular Plate with Distributed Load; 7.5 Clamped
Circular Plate with Point Load; 7.6 Simply-Supported Circular Plate with
Point Load; 7.7 Circular Plate Part on Top of Column; 7.8 Message of the
Chapter; Part 2 Didactical Discrete Models; 8 Discrete Model for
Membrane Analysis; 8.1 TrussModel; 8.2 Membrane PlateModel; 8.2.1
Example. Deep Beam Subjected to OwnWeight; 8.3 Message of the Chapter; 9
Discrete Model for Plate Bending; 9.1 BeamModel; 9.1.1 Example.
Cantilever Beam; 9.2 Plate BendingModel; 9.2.1 Example 1. Rectangular
Simply-Supported Plate; 9.2.2 Example 2. Lift-Slab in Office Building;
9.3 Didactical Model for Simply-Supported Plate; 9.4 DiscreteModel for
Plate on Flexible Edge Beams; 9.5 Message of the Chapter; Part 3
FE-Based Design in Daily Practice10 FEM Essentials; 10.1 Elements and
Degrees of Freedom; 10.2 Stiffness Matrix and Constraints; 10.3 Model
Input; 10.4 Output Selection; 10.5 Message of the Chapter; 11 Handling
Membrane FEMResults; 11.1 Surprising Stresses; 11.1.1 Effect of
Poisson's Ratio; 11.1.2 Effect of Kink in Beam Flange; 11.2 Stress
Singularities in FEM; 11.3 FEM-Supported Strut-and-Tie Modeling; 11.4
Re-entrant Corner; 11.5 TallWall with Openings; 11.5.1 Modeling
withMembrane Elements; 11.5.2 Modeling as Frame; 11.6 Checking and
