Preface to the Second Edition
Preface to the First Edition

1 Plastic Failure

1.1 Introduction

1.2 Bending of Symmetrical Sections

1.3 Failure Loads of Statically Determinate Structures

1.4 Failure Loads of Statically Indeterminate Structures

1.5 Derivation of Failure Loads by Inspection

1.6 Theorems of Plastic Collapse

1.7 Interaction Diagrams

1.8 Number of Plastic Hinges

1.9 Collapse Load Factors in Relation to Design

Bibliography

Problems

2 Methods of Plastic Analysis

2.1 Introduction

2.2 Graphical Procedure for Portal Frames

2.3 Multi-Bay Frames

2.4 Method of Combined Mechanisms

2.5 Bending Moments in Collapse Mechanisms

2.6 Distributed Loads

2.7 Calculation of Failure Loads by Computer

Bibliography

Problems

3 Plastic Moments Under Shear Force and Axial Load

3.1 Sections with One Axis of Symmetry

3.2 Effect of Axial Load on Plastic Moment

3.3 Effect of Shear Force on Plastic Moment

3.4 Plastic Moments Under Shear Force and Axial Load

3.5 Calculation of Failure Loads Allowing for Shear Force and Axial Thrust

3.6 Plastic Bending for Arbitrary Sections About any Axis

3.7 Design of Joints

Bibliography

Problems

4 Minimum Weight Design

4.1 Introduction

4.2 Simple Examples of Minimum Weight Design

4.3 Theorems of Minimum Weight Design

4.4 Derivation of Minimum Weight Frames

4.5 Minimum Weight Design by Computer

4.6 Minimum Weight Frames of Continuously

Bibliography

Problems

5 Variable Repeated Loading

5.1 Introduction

5.2 Behaviour of Two-Span Beam

5.3 Theorems of Shakedown

5.4 Methods of Shakedown Analysis

5.5 Significance of Shakedown in Design

Bibliography

Problems

6 Stability

6.1 Introduction

6.2 Eccentrically Loaded Column

6.3 Portal Frame

6.4 Practical Estimation of Failure Loads

6.5 Local Buckling

Bibliography

Problems

Answers to Problems

Index

Plastic Theory of Structures focuses on the use of plastic theory in design and shows how code requirements are related to theoretical considerations. More specifically, the effect of axial load and shear force on plastic moment capacity is examined, along with biaxial bending, frame and local instability, and the use of partial load factors. The significance of repeated loading in plastic design is also highlighted.
Comprised of six chapters, this book begins with an overview of plastic failure and the behavior beyond the elastic limit (with particular emphasis on the failure loads) of structures in which resistance to bending action is the primary means by which the loads are supported. Attention is paid to how the collapse load factor of a given structure may be derived, that is, the structure has been analyzed in relation to plastic collapse. The reader is then introduced to methods of plastic analysis; plastic moments under shear force and axial load; and minimum weight design. The book also considers variable repeated loading before concluding with a chapter on stability and the influence of various structural parameters and appropriate methods for the estimation of failure loads.
This monograph will be of interest to civil and structural engineers.