Transcription of Plastic Analysis 3rd Year Structural Engineering …
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Plastic Analysis 3rd Year Structural Engineering …
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.
Structural Analysis III 5 Dr. C. Caprani 2. Basis of Plastic Design 2.1 Material Behaviour A uniaxial tensile stress on a ductile material such as mild steel typically provides the
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