Class 7_ae2_progressive collapse analysis
- 1. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS PLASTIC ANALYSIS
- 2. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS 1.- ELASTIC ANALYSIS OF GRIDS 1.1.- COMPATIBILITY METHOD 1.2- SLOPE DEFLECTION METHOD 2.- PLASTIC ANALYSIS OF STRUCTURES 2.1- PLASTIC ANALYSIS OF BEAMS 2.2- PLASTIC ANALYSIS OF FRAMES 2.2.1- KINEMATIC METHOD 2.2.2- INCREMENTAL ANALYSIS. HINGE BY HINGE METHOD 3.- INTRODUCTION TO SECOND ORDER ANALYSIS OF STRUCTURES 2.3- PLASTIC ANALYSIS OF SLABS. FEBRUARY MARCHADNAPRIL MAY
- 3. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS ELASTIC ANALYSIS PLASTIC ANALYSIS ≠ RESULTS* Part of the structure material is working beyond the plastic limit The structure should be ductile enough to have a plastic behaviour All the structure material is working below the plastic limit The structure can be fragile or ductile to apply elastic analysis SAFER CHEAPER Superposition Principle cannot be applied Superposition Principle can be applied
- 4. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS KIMENATIC METHOD 1.- DRAW A POSSIBLE COLLAPSE PATTERN 2.- CALCULATE THE Mp THAT PRODUCES THAT COLLAPSE PATTERN 3.- CHECK IF THE COLLAPSE PATTERN + Mp VALUE ARE LINKED WITH A BENDING MOMENT DIAGRAM IN EQUILIBRIUM 1.1. Number of hinges required? 1.2. Points where a hinge can be formed? 1.3. Combinations? 2.1. Application of Virtual Work Principle Wext = Wint 2.2. Calculation of Mp 3.1. Equilibrium (three equilibrium equations)
- 5. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS KINEMATIC METHOD INCREMENTAL METHOD = RESULTS (both plastic analysis) It let us know how the frames behave step by step It leads us to the true failure pattern directly. We do not have to choose among posible different answers It leads directly to the final collapse pattern We must guess and choose among different possible collapse patterns Lot of numbers because we have to consider elastic analysis results in the proccess Easy maths
- 6. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS INCREMENTAL METHOD (progressive collapse analysis) 1.- ELASTIC ANALYSIS P= 1 2.- ELASTIC ANALYSIS P=1 AND A HINGE AT THE POINT WHERE THE 1º PLASTIC HINGE IS FORMED. 3.- …. REPEAT THE PROCCESS UNTIL THE GLOBAL COLLAPSE IS PRODUCED 1.1. Where is the first plastic hinge formed? 1.2. Value of the load P that produces the first plastic hinge? 2.1. Where is the second plastic hinge formed? 2.2. Value of the load P that produces the second plastic hinge? 1.3. Bending moment diagram when the 1st plastic hinge is formed 2.3. Bending moment diagram when the 1st plastic hinge is formed
- 7. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS
- 8. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS RESULT OF SAP2000 OR SLOPE DEFLECTION METHOD
- 10. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS VALUE OF P WHEN THE FIRST HINGE IS FORMED We have to choose between these two values
- 11. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS BENDING MOMENT DIAGRAM WHEN THE FIRST HINGE IS FORMED THE LOWEST… WHY?
- 12. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS BENDING MOMENT DIAGRAM WHEN THE FIRST HINGE IS FORMED
- 13. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS TO CALCULATE WHERE THE SECOND HINGE IS FORMED… RESULT OF SAP2000 OR SLOPE DEFLECTION METHOD
- 14. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS THIS DIAGRAM IS NOT ENOUGH TO KNOW IT!
- 15. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS
- 16. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS BENDING MOMENT DIAGRAM WHEN THE SECOND HINGE IS FORMED
- 17. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS
- 18. STRUCTURAL ANALYSIS II CLASS 9 RESULT OF SAP2000 OR SLOPE DEFLECTION METHOD We place another hinge where the second plastic hinge is formed
- 19. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS WE NEED THESE TWO DIAGRAMS TO KNOW WHERE THE THIRD PLASTIC HINGE WILL OCCUR
- 20. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS BENDING MOMENT DIAGRAM WHEN THE THIRD HINGE IS FORMED
- 21. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS BENDING MOMENT DIAGRAM WHEN THE THIRD HINGE IS FORMED
- 22. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS AS IT IS STATICALLY DETERMINATE, WE DO NOT NEED SAP2000 BUT WE COULD USE IT We place a hinge where the second plastic hinge is formed
- 23. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS WE NEED THESE TWO DIAGRAMS TO KNOW WHERE THE FOURTH PLASTIC HINGE WILL OCCUR
- 24. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS
- 25. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS
- 26. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS
- 27. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS 33,23 = - 0,00008831 m x 124,57 - 0,0002 m x 10,104 - 0,000277 m x 36,24 - 0,00572 m x 1,775
- 28. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS PROGRESSIVE COLLAPSE ANALYSIS?
- 29. STRUCTURAL ANALYSIS II CLASS 9 RESULT OF SAP2000 OR SLOPE DEFLECTION METHOD
- 30. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS VALUE OF THE LOAD THAT PRODUCES THE FIRST PLASTIC HINGE?
- 31. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS BENDING MOMENT DIAGRAM WHEN THE FIRST PLASTIC HINGE IS PRODUCED
- 32. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS AS IT IS STATICALLY DETERMINATE, WE DO NOT NEED SAP2000 BUT WE COULD USE IT
- 33. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS VALUE OF PU2? WE MUST CONSIDER TWO DIAGRAMS!!!
- 34. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS
- 35. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS
- 36. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS PLASTIC ANALYSIS