Plastic Analysis and Design of Steel Structures

M. Bill Wong

• Publisher: Butterworth-Heinemann
• Year: 2011
• Print ISBN: 9780750682985
• eBook ISBN: 9780080941851
• Topic: Technology & Engineering
• Subtopic: Civil Engineering
• Index: Technology & Engineering

The plastic analysis method has been used extensively by engineers for designing steel structures. Simpler structures can be analyzed using the basic virtual work formulation, but more complex frames are evaluated with specialist computer software. This new book sets out a method for carrying out plastic analysis of complex structures without the need for specialist tools.The book provides an introduction to the use of linear programming techniques for plastic analysis. This powerful and advanced method for plastic analysis is important in an automated computational environment, in particular for non-linear structural analysis.A detailed comparison between the design codes for the United States and Australia and the emerging European Eurocodes enables practising engineers to understand the issues involved in plastic design procedures and the limitations imposed by this design method.- Covers latest research in plastic analysis and analytical tools- Introduces new successive approximation method for calculating collapse loads- Programming guide for using spreadsheet tools for plastic analysis

Chapter 1. Structural Analysis—Stiffness Method

1.1. Introduction

Computer programs for plastic analysis of framed structures have been in existence for some time. Some programs, such as those developed earlier by, among others, Wang,^[1] Jennings and Majid,^[2] and Davies,^[3] and later by Chen and Sohal,^[4] perform plastic analysis for frames of considerable size. However, most of these computer programs were written as specialist programs specifically for linear or nonlinear plastic analysis. Unlike linear elastic analysis computer programs, which are commonly available commercially, computer programs for plastic analysis are not as accessible. Indeed, very few, if any, are being used for daily routine design in engineering offices. This may be because of the perception by many engineers that the plastic design method is used only for certain types of usually simple structures, such as beams and portal frames. This perception discourages commercial software developers from developing computer programs for plastic analysis because of their limited applications.

Contrary to the traditional thinking that plastic analysis is performed either by simple manual methods for simple structures or by sophisticated computer programs written for more general applications, this book intends to introduce general plastic analysis methods, which take advantage of the availability of modern computational tools, such as linear elastic analysis programs and spreadsheet applications. These computational tools are in routine use in most engineering design offices nowadays. The powerful number-crunching capability of these tools enables plastic analysis and design to be performed for structures of virtually any size.

The amount of computation required for structural analysis is largely dependent on the degree of statical indeterminacy of the structure. For determinate structures, use of equilibrium conditions alone will enable the reactions and internal forces to be determined. For indeterminate structures, internal forces are calculated by considering both equilibrium and compatibility conditions, through which some methods of structural analysis suitable for computer applications have been developed. The use of these methods for analyzing indeterminate s...

Table of contents

• Cover
• Title
• Brief Table of Contents
• Table of Contents
• Copyright
• Preface
• Chapter 1. Structural Analysis—Stiffness Method
• BibliographyBibliography
• Chapter 2. Plastic Behavior of Structures
• BibliographyBibliography
• Chapter 3. Plastic Flow Rule and Elastoplastic Analysis
• BibliographyBibliography
• Chapter 4. Incremental Elastoplastic Analysis—Hinge by Hinge Method
• BibliographyBibliography
• Chapter 5. Manual Methods of Plastic Analysis
• Chapter 6. Limit Analysis by Linear Programming
• BibliographyBibliography
• Chapter 7. Factors Affecting Plastic Collapse
• BibliographyBibliography
• Chapter 8. Design Consideration
• BibliographyBibliography
• Appendix Answers
• Index