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Plastic Analysis 3rd Year Structural Engineering 2010/11

Structural Analysis III Dr. C. Caprani 1 Plastic Analysis 3rd Year Structural Engineering 2010/11 Dr. Colin Caprani Structural Analysis III Dr. C. Caprani 2 Contents 1. Introduction .. 4 Background .. 4 2. Basis of Plastic Design .. 5 Material Behaviour .. 5 Cross Section Behaviour .. 7 Plastic Hinge Formation .. 24 3. Methods of Plastic Analysis .. 28 Introduction .. 28 Incremental Analysis .. 29 Important Definitions .. 36 Equilibrium Method .. 38 Kinematic Method Using Virtual Work .. 42 Types of Plastic Collapse .. 47 4. Theorems of Plastic Analysis .. 48 Criteria .. 48 The Upperbound (Unsafe) Theorem .. 49 The Lowerbound (Safe) Theorem .. 50 The Uniqueness Theorem .. 51 Corollaries of the Theorems .. 52 Application of the Theorems.

material, the most common, and simplest, model is the idealised stress-strain curve. This is the curve for an ideal elastic-plastic material (which doesn’t exist), and the graph is:

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