Elastic Plastic And Yield Design Of Reinforced Structures

Elastic, Plastic and Yield Design of Reinforced Structures presents a whole set of new results which have been published by the authors over the last 30 years in the field of continuum solid mechanics applied to the analysis and design of reinforced civil engineering structures. The focus is on the development and application of up-scaling/homogenization methods in the design of such composite structures, with a special emphasis on the plastic behavior and ultimate strength of materials. The specificity of the book is highlighted by at least two completely innovative concepts which lie at the very heart of the book’s originality: the elaboration of a fully comprehensive homogenization-based method for the design of reinforced structures (and not only materials), through the study of macroscopic behavior, and the development of a multiphase model for materials reinforced by linear inclusions, which considerably extends the range of applicability of the classical homogenization procedure. Sums up almost thirty years of original research in the field of mechanics applied to the analysis and design of reinforced civil engineering structures Focuses on the application of upscaling/homogenization methods to the design of civil engineering structures Highlights the elaboration of a fully comprehensive homogenization-based method for the design of reinforced structures (and not only materials), through the concept of macroscopic behavior Features development of a multiphase model for materials reinforced by linear inclusions, which considerably extends the range of applicability of the classical homogenization procedure.

When this volume was first published, plastic theory was the most modern method of structural analysis, and it made possible the direct design of steel frames in a way not available with only elastic methods. It is now recognized that this theory is also fundamental to structural design in materials such as reinforced concrete and aluminium. This is the first volume of a two-volume work by Professors Baker and Heyman that expounds and illustrates the methods of plastic design. Volume 1 gives the elements of the theory and covers the needs of most undergraduates and designers. A special feature of this work is the large number of exercises (140 in all) with answers. Volume 2 deals with advanced topics of theoretical analysis and practical design. The examples and the methods presented herein are extremely valuable to the engineer. The quality of the writing makes Professors Baker and Heyman's book a pleasure to read. Lord Baker (Sir John Fleetwood Baker, 1901-1985) was Professor of Mechanical Sciences and Head of the Department of Engineering at the University of Cambridge from 1943 to 1968. He was a Fellow of the Royal Society. Baker's pioneering research led to the development of the plastic theory of design, originally used for steel frames but now recognized as being valid for many structural materials, such as aluminium and reinforced concrete. Additionally, Baker was responsible for many curriculum innovations at the university and was the author of The Steel Skeleton, a two-volume work. Jacques Heyman is the former Head of the Department of Engineering at the University of Cambridge and the author of ten books, including The Stone Skeleton, Elements of the Theory of Structures, Structural Analysis: A Historical Approach, Elements of Stress Analysis, and the two-volume set Plastic Design of Frames: Volume 1. Fundamentals with Lord Baker and Volume 2. Applications. He is a Fellow of the Society of Antiquaries, the Institution of Civil Engineers, and the Royal Academy of Engineering. He acted as a consulting engineer for a number of English cathedrals and as a member of the Architectural Advisory Panel for Westminster Abbey and of the Cathedrals Fabric Commission for England, and he has served on many British standards committees. The Stone Skeleton won the Choice Outstanding Academic Books Award in 1996.

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

In this book, the author has collected existing information on the analysis of elastic-plastic structures subjected to variable repeated loads and to variable temperature fields. He presents the foundations of the theory and its applications to the shakedown analysis of structures of various types and to computational algorithms. The book provides useful and interesting material for students of civil and mechanical engineering, practising engineers with a good mathematical background and also scientists concerned with the analysis of inelastic structures.

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.

17 2 STRESS FIELDS FOR SIMPLE STRUCTURES 2. 1 INTRODUCTION In this chapter the behavior and strength of simple structures made of rein forced or prestressed concrete is investigated with the aid of stress fields. In particular, the webs and flanges of beams, simple walls, brackets, bracing beams and joints of frames are investigated. By this means, the majority of design cases are already covered. In reality, all structural components are three-dimensional. Here, however, components are considered either directly as two-dimensional plate elements (i. e. the plane stress condition with no variation of stress over the thickness of the element) or they are subdivided into several plates. Since two-dimensional structural elements are statically redundant, it is pOSSible for a particular loading to be in equilibrium with many (theoretically an infinite number of) stress states. If the lower bound method of the theory of plasticity is employed, then an admissible stress field or any combination of such stress fields may be selected. In chapter 4 it is shown that this method is suitable for the design of reinforced concrete structures, and the consequence of the choice of the final structural system on the structural behavior is dealt with in detail. The first cases of the use of this method date back to Ritter [6] and Morsch [4], who already at the beginning of the century investigated the resultants of the internal stresses by means of truss models.