Model Analysis of Plane Structures

Model Analysis of Plane Structures

The Commonwealth and International Library: Structures and Solid Body Mechanics Division

1st Edition - January 1, 1966

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  • Author: T. M. Charlton
  • eBook ISBN: 9781483138114

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Model Analysis of Plane Structures deals with simple techniques of analysis plane structures with the aid of scale models. Model analysis of the kind considered herein is a means of replacing the numerical work of formal structural analysis by mechanical operations. It utilizes the same assumptions as formal analysis and offers nothing more in the end-product, but the user gains unique insight into structural behavior. The book begins with a discussion of early approaches to systematic model analysis and the limitations and accuracy of model analysis. This is followed by separate chapters on the approach to flexural similarity, which consists essentially of determining directly the conditions for the properties of deformation of two geometrically similar structures to be similar; the theory of indirect model analysis; and models of frame networks. The final two chapters deal with the use of models for indirect analysis and direct analysis, respectively; these conclude with sample problems to enable readers to test their understanding of the subject matter.

Table of Contents

  • Preface

    1. Introduction to Model Analysis

    Early Approaches to Systematic Model Analysis

    Beggs's Apparatus

    Gottschalk's Apparatus - "The Continostat"

    Rieckhof's Apparatus - "The Nupubest"

    Limitations and Accuracy of Model Analysis

    2. Similarity of Structures

    General Expression for the Deflection of a Structure

    Conditions for Flexural Similarity

    Theory of Dimensions and Similarity

    Dimensional Analysis of Beam Flexure: Flexural Similarity

    Relationships Between Model and Prototype Quantities

    3. Theory of Model Analysis

    Influence Lines for Forces: Müller-Breslau's Principle

    Justification of Müller-Breslau's Principle

    The Reciprocal Theorem and Müller-Breslau's Principle

    Betti's Theorem

    Müller-Breslau's Principle by the Concept of Flexibility Coefficients

    Müller-Breslau's Principle by Direct Application of Betti's Theorem

    Influence Lines for Deflection

    Members in Bending and Treatment of Loading in Relation to Model Analysis

    Slope-Deflection Relationships

    Treatment of Loads on Beams in Structures

    4. Models of Plane Frameworks

    Nature of Models

    General Design of Models

    Design of Models of Portal Frames

    Design of Models of Trusses

    Model Materials

    Xylonite-celluloid, Bakelite and Perspex



    Manufacture of Models

    Mounting of Models

    Introduction of Displacements at Supports

    Introduction of Internal Displacements

    Design of Internal Joints and Flexible Elements

    Typical Models of Rigidly Jointed Frameworks

    Power Station Building Frame

    Vierendeel Girder

    5. Use of Models for Indirect Analysis

    Influence Lines for Reactions

    Internal Forces and Moments

    Treatment of Distributed Loads

    The Large Displacement Technique

    Checking of Model Results

    Examples of Calculations Relating to Model Tests


    6. Use of Models for Direct Analysis

    Loading of Models—The Compensating Balance

    Interpretation of Compensating Balance Readings—The Concept of the "Prototype Balance"

    Influence Lines for Deflection

    The Moment Indicator for Portal Frames

    Interpretation of Moment Indicator Results for the Prototype

    The Moment Deformeter

    Coker's Method for Direct Measurement of Model Strains


    Appendix I


    Appendix II

    The Principle of Virtual Work Applied to Frameworks

    Appendix III

    Verification of Analysis of Portal Frameworks

Product details

  • No. of pages: 122
  • Language: English
  • Copyright: © Pergamon 2013
  • Published: January 1, 1966
  • Imprint: Pergamon
  • eBook ISBN: 9781483138114

About the Author

T. M. Charlton

About the Editor

B. G. Neal

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