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Plates and FEM

Surprises and Pitfalls

  • Textbook
  • © 2010

Overview

Authors:
  1. J. Blaauwendraad

    1. Ede, Netherlands

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  • Handling stress singularities in stretched and bended plates
  • Mesh design recommendations
  • Understanding the difference between Kirchhoff and Mindlin plate theory
  • Determination of shear rigidity of complex orthotropic plate cross-sections
  • Economic reinforcement on basis of linear-elastic FEM analysis
  • Prevention of glaring mistakes in calculating torsion rigidity of orthotropic plates
  • Includes supplementary material: sn.pub/extras

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 171)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xxvi
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  2. Theory of Plates

    1. Front Matter

      Pages 1-1
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    2. Plate Membrane Theory

      • Johan Blaauwendraad
      Pages 3-17

    3. Applications of the Plate Membrane Theory

      • Johan Blaauwendraad
      Pages 19-46

    4. Thick Plates in Bending and Shear

      • Johan Blaauwendraad
      Pages 47-80

    5. Thin Plates in Bending

      • Johan Blaauwendraad
      Pages 81-102

    6. Rectangular Plate Examples

      • Johan Blaauwendraad
      Pages 103-122

    7. Circular Membrane Plates

      • Johan Blaauwendraad
      Pages 123-142

    8. Circular Thin Plates in Bending

      • Johan Blaauwendraad
      Pages 143-155

  3. Didactical Discrete Models

    1. Front Matter

      Pages 158-158
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    2. Discrete Model for Membrane Analysis

      • Johan Blaauwendraad
      Pages 159-167

    3. Discrete Model for Plate Bending

      • Johan Blaauwendraad
      Pages 169-186

  4. FE-Based Design in Daily Practice

    1. Front Matter

      Pages 188-188
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    2. FEM Essentials

      • Johan Blaauwendraad
      Pages 189-197

    3. Handling Membrane FEM Results

      • Johan Blaauwendraad
      Pages 199-218

    4. Understanding FEM Plate Bending

      • Johan Blaauwendraad
      Pages 219-235

    5. FE Analysis for Different Supports

      • Johan Blaauwendraad
      Pages 237-250

    6. Handling Peak Moments

      • Johan Blaauwendraad
      Pages 251-274

    7. Sense and Nonsense of Mindlin

      • Johan Blaauwendraad
      Pages 275-290

    8. Reinforcement Design Using Linear Analysis

      • Johan Blaauwendraad
      Pages 291-318
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Keywords

About this book

The Finite Element Method, shortly FEM, is a widely used computational tool in structural engineering. For basic design purposes it usually suf ces to apply a linear-elastic analysis. Only for special structures and for forensic investigations the analyst need to apply more advanced features like plasticity and cracking to account for material nonlinearities, or nonlinear relations between strains and displacements for geometrical nonlinearity to account for buckling. Advanced analysis techniques may also be necessary if we have to judge the remaining structural capacity of aging structures. In this book we will abstain from such special cases and focus on everyday jobs. Our goal is the worldwide everyday use of linear-elastic analysis, and dimensioning on basis of these elastic computations. We cover steel and concrete structures, though attention to structural concrete prevails. Structural engineers have access to powerful FEM packages and apply them intensively. Experience makes clear that often they do not understand the software that they are using. This book aims to be a bridge between the software world and structural engineering. Many problems are related to the correct input data and the proper interpretation and handling of output. The book is neither a text on the Finite Element Method, nor a user manual for the software packages. Rather it aims to be a guide to understanding and handling the results gained by such software. We purposely restrict ourselves to structure types which frequently occur in practise.

Authors and Affiliations

  • Ede, Netherlands

    J. Blaauwendraad

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