Ae2_22_progressive collapse analysis_test 2_2021_solved
- 1. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS
- 2. 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 PROGRESSIVE COLLAPSE ANALYSIS
- 3. 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 1st 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
- 4. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS PROGRESSIVE COLLAPSE ANALYSIS?
- 5. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS PROGRESSIVE COLLAPSE ANALYSIS? PLASTIC ANALYSIS Degree of indeterminacy?
- 6. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS Degree of indeterminacy? 1 PROGRESSIVE COLLAPSE ANALYSIS?
- 7. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS Degree of indeterminacy? 1 Numbers of plastic hinges required to produce the collapse? PROGRESSIVE COLLAPSE ANALYSIS?
- 8. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS Degree of indeterminacy? 1 Numbers of plastic hinges required to produce the collapse? 1+1 = 2 PROGRESSIVE COLLAPSE ANALYSIS?
- 9. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS Numbers of plastic hinges required to produce the collapse? 1+1 = 2 TWO STEPS TO SOLVE THE PROGRESSIVE COLLAPSE ANALYSIS
- 10. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS PROGRESSIVE COLLAPSE ANALYSIS 1 1
- 11. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS WHERE WILL THE FIRST PLASTIC HINGE BE FORMED? Let-s try this value first because it is the highest We must also check this value because the support is weaker than the beam
- 12. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS WHERE WILL THE FIRST PLASTIC HINGE BE FORMED?
- 13. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS vertical displacement at DE = vDE,1 x Pu1 Displacements and loads are proportional
- 14. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS PROGRESSIVE COLLAPSE ANALYSIS 2
- 15. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS WHERE WILL THE SECOND PLASTIC HINGE BE FORMED? Auxiliary system to compute where the second hinge is
- 16. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS WHERE WILL THE SECOND PLASTIC HINGE BE FORMED? Let-s try this value because it is the highest in both diagrams The second auxiliary system all alone is not enough
- 17. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS Frame behavior from P= 0 to P=93,2/a Frame behavior from P= 93,2/a to P=98,2/a
- 18. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS
- 19. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS Mp Mp ALL THE OTHER BENDING MOMENTS VALUES ARE LOWER THAN Mp (or 2Mp) PLASTIC HINGES OCCUR AT JOINT D in the beam AND AT JOINT B
- 20. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS TO COMPUTE THE FINAL VERTICAL DISPLACEMENT AT vDE, WE NEED THE VALUE OF THE VERTICAL DISPLACEMENT AT vDE IN THE SYSTEM WITH REAL HINGE AT D (beam)
- 21. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS WHAT’S THE VALUE OF THE VERTICAL DISPLACEMENT IN THE MIDDLE OF SPAN DE WHEN THE SECOND PLASTIC HINGE OCCURS?
- 22. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS WHAT’S THE VALUE OF THE VERTICAL DISPLACEMENT IN THE MIDDLE OF SPAN DE AT COLLAPSE?
- 23. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS KINEMATIC METHOD 3
- 24. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS PLASTIC ANALYSIS KINEMATIC METHOD WE ALREADY KNOW THAT THE TWO HINGES WILL BE AT D AND E (affecting the supports ends)
- 25. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS PLASTIC ANALYSIS KINEMATIC METHOD
- 26. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS 4
- 27. STRUCTURAL ANALYSIS II PROGRESSIVE COLLAPSE ANALYSIS If the value of P that produces the collapse is P =98,2/a THE SAFETY FACTOR WHEN P = 50 is safety factor = = 1,96/a 98,2/a 50