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Plates and FEM : Surprises and Pitfalls

Author: J Blaauwendraad
Publisher: Dordrecht : Springer Science+Business Media B.V., 2010.
Series: SpringerLink: Springer e-Books; Solid Mechanics and Its Applications, 1575.
Edition/Format:   Computer file : English : Online-AusgView all editions and formats
Database:WorldCat
Summary:

Elastic plate analysis results must be translated to economic cross-section dimensions and reinforcement ratios, and that process raises difficulties. This book acts as a bridge between commercially  Read more...

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Material Type: Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: J Blaauwendraad
ISBN: 9789048135967 9048135966 9789048135950 9048135958
OCLC Number: 643090857
Reproduction Notes: Online-Ausg. Berlin [u.a.] Springer, 2010. online-Ressource.
Description: ... S.
Contents: 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
Series Title: SpringerLink: Springer e-Books; Solid Mechanics and Its Applications, 1575.
Responsibility: by J. Blaauwendraad.

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