Model Analysis of Plane Structures

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

1st Edition - January 1, 1966
Author: T. M. Charlton
Editor: B. G. Neal
Language: English
eBook ISBN:
9 7 8 - 1 - 4 8 3 1 - 3 8 1 1 - 4

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… Read more

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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.

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

Metal

Cardboard

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

Problems

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

Problems

Appendix I

Bibliography

Appendix II

The Principle of Virtual Work Applied to Frameworks

Appendix III

Verification of Analysis of Portal Frameworks