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A good grasp of the theory of structures - the theoretical basis by which the strength, stiffness and stability of a building can be understood - is fundamental to structural engineers and architects. Yet most modern structural analysis and design is carried out by computer, with the user isolated from the processes in action. Plastic Design of Frames; Volume 1. Fundamentals provides a broad introduction to the mathematics behind a range of structural processes. The basic structural equations have been known for at least 150 years, but modern plastic theory has opened up a fundamentally new way of advancing structural theory. Paradoxically, the powerful plastic theorems can be used to examine 'classic' elastic design activity, and strong mathematical relationships exist between these two approaches. Some of the techniques used in this book may be familiar to the reader, and some may not, but each of the topics examined will give the structural engineer valuable insight into the basis of the subject. This companion book Plastic Design of Frames; Volume 2. Applications provides additional advanced topics and case studies. This lucid volume provides a valuable read for structural engineers and others who wish to deepen their knowledge of the structural analysis and design of buildings This volume covers applications and advanced topics on the theory of plastic design of structures. Cover; PLASTIC DESIGN OF FRAMES; Title; Copyright; CONTENTS; PREFACE; 1 THE YIELD SURFACE; 1.1 The definition of collapse; 1.2 Characteristics of the yield surface; 1.3 Frame with distributed load; 1.4 Combined bending and torsion; EXAMPLES; 2 ELEMENTARY SPACE FRAMES; 2.1 The right-angle bent; 2.2 Rectangular grillages; EXAMPLES; 3 UNSYMMETRICAL BENDING; 3.1 Bending of rectangular section about an inclined axis; 3.2 The effect of axial load; 3.3 The general unsymmetrical section; 3.4 The unequal angle; EXAMPLES; 4 REINFORCED CONCRETE AND MASONRY; 4.1 The simple plastic hinge. 4.2 Bending with axial load4.3 The collapse of simple frames; 4.4 The masonry structure; 4.5. Reinforced-concrete arches; EXAMPLES; 5 ELASTIC-PLASTIC ANALYSIS; 5.1 Virtual work for elastic-plastic frames; 5.2 Fixed-ended beam; 5.3 Deftexions at collapse; 5.4 A four-storey frame; 5.5 The combination of mechanisms; 5.6 The design of columns; preliminary remarks; EXAMPLES; 6 REPEATED LOADING; 6.1 The shakedown theorem; 6.2 A two-span beam; 6.3 The combination of mechanisms; 6.4 Rectangular portal frames; 6.5 The relation between?c and?8; 6.6 A two-storey frame; 6.7 Rolling loads. 6.8 The significance of shakedown calculationsEXAMPLES; 7 MINIMUM-WEIGHT DESIGN; 7.1 Dynamic programming; 7.2 The tinear weight function; 7.3 Foulkes's theorem; 7.4 Limitations on sections; 7.5 Upper and lower bounds; 7.6 Alternative loading combinations; 7.7 Shakedown loading; 7.8 Absolute minimum-weight design; EXAMPLES; 8 NUMERICAL ANALYSIS; 8.1 Linear programming; 8.2 Static collapse analysis; 8.3 Static collapse under alternative loading combinations; 8.4 Shakedown analysis; 8.5 Minimum-weight design; 9 MULTI-STOREY FRAMES; 9.1 Design considerations; 9.2 Braced frames (1). 9.3 The load factor9.4 Braced frames (2); 9.5 Sway frames; 10 A DESIGN EXAMPLE; 10.1 Frame dimensions and loadings; 10.2 Preliminary design: static collapse; 10.3 Shakedown analysis of preliminary design; 10.4 Redesign of frame; INDEX
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