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About the Probabilistic Modelling of Structural Failure category
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73
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1. Welcome and course overview - (Uncertainty, Risk and Reliability Part 1)
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81
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2. The evolution of engineered construction and our understanding of it
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83
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3. Section overview - safety and reliability fundamentals
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75
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4. Modes of failure
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74
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5. Sources of uncertainty
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69
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6. How safe is safe enough?
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90
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13 November 2024
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7. Safety factors and partial safety factors - a semi-probabilistic approach
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69
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8. A probabilistic approach - the basic idea
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65
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9. Evaluating and visualising probability of failure in Python
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70
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10. Section overview - first order second moment method
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66
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11. Understanding the Taylor Series expansion
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55
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13 November 2024
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12. Taylor Series - expanding to more variables
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61
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13. The first order second moment method
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61
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14. Deriving the safety index
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61
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15. Example 1 - FOSM
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73
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16. Example 2 - FOSM
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72
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17. The lack of invariance problem
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41
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18. Section overview - first order reliability method
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57
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19. A strategy for non-linear limit state functions
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63
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20. Converting to standard normal space
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59
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21. Iterative algorithm to estimate the reliability index
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62
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22. Example 3 - FORM
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23. Targeting a specific safety index
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64
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24. Example 4 - FORM
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96
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25. Dealing with non-normally distributed variables
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91
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26. Implementing the Normal Tail Approximation
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60
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27. Example 5 - FORM
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71
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28. FORM code refactor
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73
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29. Example 6 - FORM for reinforced concrete beam
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56
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