Simplified Analytical Methods of Elastic Plates

  • Hideo Takabatake

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Static and Dynamic Analyses of Normal Plates

  3. Static and Dynamic Analyses of Various Plates

  4. Static and Dynamic Analysis of Special Plates

  5. Effects of Dead Loads on Elastic Plates

    1. Front Matter
      Pages 227-227
  6. Effects of Dead Loads on Elastic Beams

    1. Front Matter
      Pages 265-265
  7. Recent Topics of Plate Analysis

    1. Front Matter
      Pages 315-315

About this book


This book presents simplified analytical methodologies for static and dynamic problems concerning various elastic thin plates in the bending state and the potential effects of dead loads on static and dynamic behaviors. The plates considered vary in terms of the plane (e.g. rectangular or circular plane), stiffness of bending, transverse shear and mass. The representative examples include void slabs, plates stiffened with beams, stepped thickness plates, cellular plates and floating plates, in addition to normal plates. The closed-form approximate solutions are presented in connection with a groundbreaking methodology that can easily accommodate discontinuous variations in stiffness and mass with continuous function as for a distribution. The closed-form solutions can be used to determine the size of structural members in the preliminary design stages, and to predict potential problems with building slabs intended for human beings’ practical use.


Elastic thin plates Static and dynamic analyses Closed-form approximate solution Variable stiffness and mass Effects of dead loads on elastic plates and beams Thin-walled structures

Authors and affiliations

  • Hideo Takabatake
    • 1
  1. 1.Institute of Disaster and Environmental ScienceKanazawa Institute of TechnologyHakusanJapan

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering
  • Print ISBN 978-981-13-0085-1
  • Online ISBN 978-981-13-0086-8
  • Buy this book on publisher's site
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