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Published byRegan Kirksey Modified over 9 years ago
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Nonlinear Analysis of Reinforced Concrete Xuehui AN
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Today’s Agenda Review of last week’s lecture Seismic Design Concept Basic Knowledge of RC Constitutive Models for RC
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Construction Maintaining / Repair Serving Recycle Cost Management Information Technology Environment Society Life-Cycle-CostLife-Cycle-Management Design Geographic Geological Study Lease Resale Management Insurance Investigation Structural performance evaluation Material study Structural performance study A Sustainable World
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Q? Bridge Pier Seismic Movement How to do seismic design
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Pyramid Sunset on Nile Photo by An, 1996.1
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Presenting my first paper in the International Conference on Seismic Design, Cairo University, Egypt
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Seismic Damage
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Failure : Load (Force) > Capacity Stress > strength Compression stress > Compression strength Local damage Tensile stress > Tensile strength Shear stress > Shear strength Elastic Mechanics Experiment Allowable stress design method Limited state design method
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Structure using material of concrete Concrete: Good at compression Weak in tension Free shape Heavy Easy to get Using of cement Strong in fire Steel: Good to work with concrete, Similar thermal expansion coefficient with concrete Expensive 10×10 -6 1/C
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Structure using material of RC Concrete: Good at compression Weak in tension Free shape Heavy Easy to get Using of cement Strong in fire Steel: Good to work with concrete, Similar thermal expansion coefficient with concrete Expensive Main reinforcement Web reinforcement
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Collapse of RC structures Reinforced Concrete (Main reinforcement, Web reinforcement) Shear failure : diagonal crack Flexure failure : bending crack, compression failure
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Collapse of RC structures Reinforced Concrete (Main reinforcement, Web reinforcement) Flexure failure : bending crack, compression failure
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Collapse of RC structures Reinforced Concrete (Main reinforcement, Web reinforcement) Shear failure : diagonal crack
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Collapse of RC structures Reinforced Concrete (Main reinforcement, Web reinforcement) Shear failure : diagonal crack
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Failure : Load (Force) > Capacity Stress > strength Compression stress > Compression strength Concrete Local damage Tensile stress > Tensile strength Steel Shear stress > Shear strength Elastic Mechanics Experiment Allowable stress design method Limited state design method
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② Material : Concrete + Steel (reinforcement) Main reinforcement Web reinforcement
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Compression strength : 300 ~ 700kg/cm 2 Concrete : Tensile strength : 10 ~ 30kg/cm 2 Compression strength : 3000 ~ 7000kg/cm 2 Steel : Tensile strength : 3000 ~ 7000kg/cm 2 Compression : concrete RC Tension : steel Crack Steel
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Reinforcement Seismic Design : Coming Force Prediction Capacity Prediction
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Seismic Performance: Design and Evaluation Bidding Serving Construction Design Performance Requirement Performance Design Evaluation
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Seismic Performance: Design and Evaluation Performance Requirement Small Earthquake: No damage Big Earthquake: No collapse
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Performance Design Concept Capacity Ductility Bending Shear Area of Section Force Deformation Bending cracking Yield of main reinforcement Flexural failure Collapse Shear failure Collapse
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Performance Design Concept Capacity Ductility bending shear Damage Control Flexible Design Absorb Seismic Energy
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Seismic Performance: Design and Evaluation Bidding Serving Construction Design Performance Requirement Performance Design Evaluation Experiment Analysis Analysis + Experiment
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Design and Evaluation
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Performance Design Process Design Evaluation Engineering Judgment Computer Simulation Design Nonlinear FEM DataAnalysisOutput Yes/No Example:
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EFM ANALYSIS Element Element Behavior by experiment Assemble Structure Structure Behavior Prediction
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Compression between experimental and analytical result
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General Methods Constitutive ModelsExperimental Results constitutive adj. Making a thing what it is; essential. 本质的;基本的 Having power to institute, establish, or enact. 有设立权的有创建、建立或制订权力的 Stress-Strain relationship Digital experiment
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EFM ANALYSIS Element Element Behavior by experiment Assemble Structure Structure Behavior Prediction
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General Methods Level 3 Constitutive ModelsExperimental Results 2-D RC Members Force-Deformation 2-D RC Members Modeling Level 2 2-D RC stress-strain 2-D Stress RC Plates Modeling Level 1 1-D RC stress-strain Bond 1-D Stress RC Modeling Level 0 Concrete, Reinforcement, Bond, Crack Microstructure, bond Modeling
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Reinforced Concrete Plate Element Model 1 Method of Modeling 2 Concrete Model Prior to Generation of Cracks (1) Elasto-Plastic and Fracture Model (2) Cracking Criteria 3 Modeling of Cracked Concrete (1) Modeling of Concrete under Tensile Stress (2) Modeling of Concrete under Compressive stress (3) Modeling of Concrete under Shear Stress (4) Inter-relation of Each Model 4 Modeling of Reinforcing Bar in Concrete 5 Verification Chapter 2
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