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First published in 1984, Limit Analysis and Concrete Plasticity explains for advanced design engineers the principles of plasticity theory and its application to the design of reinforced and prestressed concrete structures, providing a thorough understanding of the subject, rather than simply applying current design formulas. Updated and revised throughout, Limit Analysis and Concrete Plasticity, Third Edition adds— Reinforcement design formulas for three-dimensional stress fields that enable design of solid structures (also suitable for implementation in computer-based lower bound optimizations) Improved explanations of the crack sliding theory and new solutions for beams with arbitrary curved shear cracks, continuous beams, lightly shear reinforced beams and beams with large axial compression More accurate treatment of and solutions for beams with circular cross-section Applications of crack sliding theory to punching shear problems New solutions that illustrate the implication of initial cracking on load-carrying capacity of disks Yield condition for the limiting case of isotropically cracked disk The authors also devote an entirely new chapter to a recently developed theory of rigid-plastic dynamics for seismic design of concrete structures. In comparison with time-history analyses, the new theory is simpler to use and leads to large material savings. With this chapter, plasticity design methods for both statical and dynamical loads are now covered by the book.
This reference describes and illustrates the principles and techniques of limit analysis as applied to soil mechanics in detail. It presents advances on bearing capacity problems of concrete blocks or rock and discusses the modern development of the theory of soil plasticity.
The book covers the application of numerical methods to reinforced concrete structures. To analyze reinforced concrete structures linear elastic theories are inadequate because of cracking, bond and the nonlinear and time dependent behavior of both concrete and reinforcement. These effects have to be considered for a realistic assessment of the behavior of reinforced concrete structures with respect to ultimate limit states and serviceability limit states. The book gives a compact review of finite element and other numerical methods. The key to these methods is through a proper description of material behavior. Thus, the book summarizes the essential material properties of concrete and reinforcement and their interaction through bond. These basics are applied to different structural types such as bars, beams, strut and tie models, plates, slabs and shells. This includes prestressing of structures, cracking, nonlinear stressstrain relations, creeping, shrinkage and temperature changes. Appropriate methods are developed for each structural type. Large displacement and dynamic problems are treated as well as short-term quasi-static problems and long-term transient problems like creep and shrinkage. Most problems are illustrated by examples which are solved by the program package ConFem, based on the freely available Python programming language. The ConFem source code together with the problem data is available under open source rules at The author aims to demonstrate the potential and the limitations of numerical methods for simulation of reinforced concrete structures, addressing students, teachers, researchers and designing and checking engineers.
An extensive review of the theory of plasticity, limit design and limit analysis of plates is contained in this volume. Detailed descriptions are given on the plastic behaviour of homogeneous, reinforced and sandwich plates, and on the rise of various yield-line patterns. The volume differs from other books on the plastic analysis of plates by its comprehensive treatment of: the theory of yield fans connected with yield-line planning; the plastic behaviour of plates under combined loadings characterized by the load factors; statical solutions; and continuous, rectangular and skew plates. Before discussing the upper-bound solutions for various types of ultimate loads acting on isotropic, orthotropic and anisotropic plates, the kinematic conditions of the plastic behaviour of plates and the principles and methods of the yield-line theory are examined in detail. Generalized yield conditions of the second degree for orthotropic and anisotropic plates are introduced. Special attention is paid to the rise of yield fans. The concept of yield line planning is also discussed, which may be of practical interest since it indicates the possibilities for preventing the rise of yield fans. Upper-bound and lower-bound solutions for the ultimate uniform load, concentrated loads, triangular and trapexoidal loads, are presented. Similar solutions are provided for continuous loads bounded by various plane and curved surfaces and for various combinations of loads acting on rectangular, polygonal, circular, elliptic and skew plates. Solutions are given for plates on hinged supports, on free supports with elevating corners, on point supports and also for plates with built-in edges. Numerical tables are provided for determining the ultimate loads, bearing moments needed for the given load systems and the parameters of yield-line patterns. The procedures detailed in the volume will prove an indispensable reference source in the practical design of roof, ceiling and bridge slabs.
Each number includes "Synopsis of recent articles."
This fourth edition of a bestselling textbook has been extensively rewritten and expanded in line with the current Eurocodes. It presents the principles of the design of concrete elements and of complete structures, with practical illustrations of the theory. It explains the background to the Eurocode rules and goes beyond the core topics to cover the design of foundations, retaining walls, and water retaining structures. The text includes more than sixty worked out design examples and more than six hundred diagrams, plans, and charts. It suitable for civil engineering courses and is a useful reference for practicing engineers.

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