Horne / Merchant / Neal The Stability of Frames

The Commonwealth and International Library: Structures and Solid Body Mechanics Division
1. Auflage 2014
ISBN: 978-1-4831-8079-3
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 188 Seiten, Web PDF

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.

Autoren/Hrsg.

Horne, M. R.

Merchant, W.

Neal, B. G.

Inhaltsverzeichnis

1;Front Cover;1
2;The Stability of Frames;4
3;Copyright Page;5
4;Table of Contents ;6
5;PREFACE;6
6;CHAPTER 1. THE STABILITY AND FAILURE OF INDIVIDUAL MEMBERS;10
6.1;1.1 Introduction;10
6.2;1.2 Axially loaded member with terminal couples;12
6.3;1.3 Member under axial load only;16
6.4;1.4 The effect of various end conditions;17
6.5;1.5 The effect of large deformations;19
6.6;1.6 Axial deformations;21
6.7;1.7 The bifurcation of equilibrium states;22
6.8;1.8 Effect of shear deformation on critical loads;23
6.9;1.9 General treatment of lateral loads;24
6.10;1.10 The effect of initial lack of straightness;30
6.11;1.11 Experimental determination of critical load;30
6.12;1.12 Inelastic behaviour;33
6.13;1.13 Elastic–plastic struts with no initial imperfections;35
6.14;1.14 Effect of initial imperfections;38
6.15;1.15 Practical strut formulae;42
6.16;1.16 The failure of struts with lateral loads;45
6.17;1.17 The stability of axially loaded members with strain-hardening stress relations—double modulus load;46
6.18;1.18 The tangent modulus load;51
6.19;1.19 Non-axial loading of strain-hardening struts;52
6.20;1.20 Load factor, stress factor and factor of safety;53
6.21;Examples;54
7;CHAPTER 2. STABILITY FUNCTIONS;57
7.1;2.1 Introduction;57
7.2;2.2 The effect of axial load on member stiffness;59
7.3;2.3 The functions s and c;61
7.4;2.4 The function s";64
7.5;2.5 Sway functions s(1 + c) and m;65
7.6;2.6 No shear functions n and o;67
7.7;2.7 Summary of operations;68
7.8;2.8 Generalised displacements;71
7.9;2.9 Lateral loads;72
7.10;2.10 Uniformly distributed load;72
7.11;2.11 Concentrated load;74
7.12;2.12 Effect of gusset plates;76
7.13;2.13 Limitations on the use of stability functions;81
7.14;2.14 Applications of stability functions;82
7.15;Examples;83
8;CHAPTER 3. TRIANGULATED FRAMES;87
8.1;3.1 Introduction;87
8.2;3.2 Secondary stresses;88
8.3;3.3 Internal stresses;92
8.4;3.4 Critical loads;93
8.5;3.5 Critical loads—example;96
8.6;3.6 Combination of disturbances;100
8.7;3.7 Approximate methods of calculation of critical loads;105
8.8;3.8 Effect of rigid gussets;107
8.9;Examples;108
9;CHAPTER 4. RIGID-JOINTED FRAMES;111
9.1;4.1 Introduction;111
9.2;4.2 Simple portal;114
9.3;4.3 Multi-storey single-bay portals;120
9.4;4.4 Multi-bay multi-storey portals;122
9.5;4.5 Frames in which members carry primary bending moments;124
9.6;Examples;131
10;CHAPTER 5. ELASTIC–PLASTIC BEHAVIOUR;137
10.1;5.1 Introduction;137
10.2;5.2 The elastic–plastic behaviour of compression-loaded members;141
10.3;5.3 The estimation of failure loads of compression-loaded members;147
10.4;5.4 The elastic–plastic failure of lateral loaded frames—behaviour of a two-storey frame;152
10.5;5.5 The elastic–plastic failure of lateral loaded frames—the Rankine load as an approximation to failure load;155
10.6;5.6 Ultimate loads of structures in strain-hardening material;160
10.7;Examples;160
11;ANSWERS TO EXAMPLES;163
12;BIBLIOGRAPHY;164
13;TABLES OF STABILITY FUNCTIONS;166
14;INDEX;186