The Stability of Frames - 1st Edition - ISBN: 9780080111759, 9781483180793

The Stability of Frames

1st Edition

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

Authors: M. R. Horne W. Merchant
Editors: B. G. Neal
eBook ISBN: 9781483180793
Imprint: Pergamon
Published Date: 1st January 1965
Page Count: 188
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The Stability of Frames provides a vivid picture of phenomena affecting the stability of plane, rigid-jointed, triangulated and non-triangulated frames. This book discusses the energy methods that are of prime importance in dealing with the stability of isolated members and of plate elements within members.

Organized into five chapters, this book begins with an overview of the essential features of stability in elastic and elastic-plastic structures by reference to single members bending about one axis. This text then examines the stability functions for prismatic elastic members. Other chapters consider the elastic stability of triangulated frames and with non-triangulated frames. This book discusses as well the principles of structural analysis that are the same for all frames, whether or not axial loads in members are sufficient to affect their stiffness. The final chapter deals with the behavior of both triangulated and non-triangulated frames beyond the elastic limit.

This book is a valuable resource for engineers.

Table of Contents


Chapter 1. The Stability and Failure of Individual Members

1.1 Introduction

1.2 Axially Loaded Member with Terminal Couples

1.3 Member Under Axial Load Only

1.4 The Effect of Various End Conditions

1.5 The Effect of Large Deformations

1.6 Axial Deformations

1.7 The Bifurcation of Equilibrium States

1.8 Effect of Shear Deformation on Critical Loads

1.9 General Treatment of Lateral Loads

1.10 The Effect of Initial Lack of Straightness

1.11 Experimental Determination of Critical Load

1.12 Inelastic Behavior

1.13 Elastic-Plastic Struts with no Initial Imperfections

1.14 Effect of Initial Imperfections

1.15 Practical Strut Formulae

1.16 The Failure of Struts with Lateral Loads

1.17 The Stability of Axially Loaded Members with Strain-Hardening Stress RelationsDouble Modulus Load

1.18 The Tangent Modulus Load

1.19 Non-Axial Loading of Strain-Hardening Struts

1.20 Load Factor, Stress Factor and Factor of Safety


Chapter 2. Stability Functions

2.1 Introduction

2.2 The Effect of Axial Load on Member Stiffness

2.3 The Functions s and c

2.4 The Function s"

2.5 Sway Functions s(1 + c) and m

2.6 No Shear Functions n and o

2.7 Summary of Operations

2.8 Generalised Displacements

2.9 Lateral Loads

2.10 Uniformly Distributed Load

2.11 Concentrated Load

2.12 Effect of Gusset Plates

2.13 Limitations on the Use of Stability Functions

2.14 Applications of Stability Functions


Chapter 3. Triangulated Frames

3.1 Introduction

3.2 Secondary Stresses

3.3 Internal Stresses

3.4 Critical Loads

3.5 Critical LoadsExample

3.6 Combination of Disturbances

3.7 Approximate Methods of Calculation of Critical Loads

3.8 Effect of Rigid Gussets


Chapter 4. Rigid-Jointed Frames

4.1 Introduction

4.2 Simple Portal

4.3 Multi-Storey Single-Bay Portals

4.4 Multi-Bay Multi-Storey Portals

4.5 Frames in which Members Carry Primary Bending Moments


Chapter 5. Elastic-Plastic Behavior

5.1 Introduction

5.2 The Elastic-Plastic Behavior of Compression-Loaded Members

5.3 The Estimation of Failure Loads of Compression-Loaded Member

5.4 The Elastic-Plastic Failure of Lateral Loaded FramesBehavior of a Two-Storey Frame

5.5 The Elastic-Plastic Failure of Lateral Loaded Framesthe Rankin Load as an Approximation to Failure Load

5.6 Ultimate Loads of Structures in Strain-Hardening Material


Answers to Examples


Tables of Stability Functions



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© Pergamon 1965
eBook ISBN:

About the Author

M. R. Horne

W. Merchant

About the Editor

B. G. Neal

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