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Nonlinear Analysis of Reinforced Concrete Xuehui AN.

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Presentation on theme: "Nonlinear Analysis of Reinforced Concrete Xuehui AN."— Presentation transcript:

1 Nonlinear Analysis of Reinforced Concrete Xuehui AN

2 Today’s Agenda Review of last week’s lecture Seismic Design Concept Basic Knowledge of RC Constitutive Models for RC

3 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

4 Q? Bridge Pier Seismic Movement How to do seismic design

5 Pyramid Sunset on Nile Photo by An,

6 Presenting my first paper in the International Conference on Seismic Design, Cairo University, Egypt

7 Seismic Damage

8 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

9 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× /C

10 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

11 Collapse of RC structures Reinforced Concrete (Main reinforcement, Web reinforcement) Shear failure : diagonal crack Flexure failure : bending crack, compression failure

12 Collapse of RC structures Reinforced Concrete (Main reinforcement, Web reinforcement) Flexure failure : bending crack, compression failure

13 Collapse of RC structures Reinforced Concrete (Main reinforcement, Web reinforcement) Shear failure : diagonal crack

14 Collapse of RC structures Reinforced Concrete (Main reinforcement, Web reinforcement) Shear failure : diagonal crack

15 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

16 ② Material : Concrete + Steel (reinforcement) Main reinforcement Web reinforcement

17 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

18 Reinforcement Seismic Design : Coming Force Prediction Capacity Prediction

19 Seismic Performance: Design and Evaluation Bidding Serving Construction Design Performance Requirement Performance Design Evaluation

20 Seismic Performance: Design and Evaluation Performance Requirement Small Earthquake: No damage Big Earthquake: No collapse

21 Performance Design Concept Capacity Ductility Bending Shear Area of Section Force Deformation Bending cracking Yield of main reinforcement Flexural failure Collapse Shear failure Collapse

22 Performance Design Concept Capacity Ductility bending shear Damage Control Flexible Design Absorb Seismic Energy

23 Seismic Performance: Design and Evaluation Bidding Serving Construction Design Performance Requirement Performance Design Evaluation Experiment Analysis Analysis + Experiment

24 Design and Evaluation

25 Performance Design Process Design Evaluation Engineering Judgment Computer Simulation Design Nonlinear FEM DataAnalysisOutput Yes/No Example:

26 EFM ANALYSIS Element Element Behavior by experiment Assemble Structure Structure Behavior Prediction

27 Compression between experimental and analytical result

28 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

29 EFM ANALYSIS Element Element Behavior by experiment Assemble Structure Structure Behavior Prediction

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33 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

34 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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