# Reliability-Based Structural Design

- Institution: IIT Guwahati
- Department: Civil Engineering
- Teacher: Prof. Arunasis Chakarborty
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/105103224)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/105103224)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

The course introduces basic concepts of probability theory at the beginning, which is followed by the Level-2 reliability methods. The readers are then introduced to the intricacies of Monte-Carlo simulation and its advanced versions for variance reduction and subset simulation. The treatment of implicit limit states using RSM and recently developed SRSM techniques are explained separately with examples. With this knowledge of reliability analysis in hand, the course then aims to explain the applications of these methods for code calibrations and reliability analysis under multiple failure modes.

Intended audience: UG Final Year Students, PG Students, and Research Scholars.

## Lectures

1. [Lec 1: Introduction](https://invisiblenetwork.ai/learn/nptel/105103224/9d444d0d3d23) (YouTube)
2. [Lec 2: Random Variable](https://invisiblenetwork.ai/learn/nptel/105103224/af95b5d37acd) (YouTube)
3. [Lec 3: Functions of Random Variables](https://invisiblenetwork.ai/learn/nptel/105103224/7802b1876ca5) (YouTube)
4. [Lec 4: Joint Distributions](https://invisiblenetwork.ai/learn/nptel/105103224/51d9f56c3cb5) (YouTube)
5. [Lec 5: Mt. Gen. Func. & CLT](https://invisiblenetwork.ai/learn/nptel/105103224/bae399a3be33) (YouTube)
6. [Lec 6: Theory of Estimation](https://invisiblenetwork.ai/learn/nptel/105103224/4868a95ff761) (YouTube)
7. [Lec 7: Goodness of Fit](https://invisiblenetwork.ai/learn/nptel/105103224/eb849898560d) (YouTube)
8. [Lec 8: MVFOSM](https://invisiblenetwork.ai/learn/nptel/105103224/5b13da2acd93) (YouTube)
9. [Lec 9: MVFOSM Contd.](https://invisiblenetwork.ai/learn/nptel/105103224/2724250cb5da) (YouTube)
10. [Lec 10: Hasofer-Lind Rel. Index](https://invisiblenetwork.ai/learn/nptel/105103224/42ceb23b4e21) (YouTube)
11. [Lec 11: Rackwitz's Algorithm Contd.](https://invisiblenetwork.ai/learn/nptel/105103224/164f37e7155e) (YouTube)
12. [Lec 12: HL-RF for Non-Normal Problems](https://invisiblenetwork.ai/learn/nptel/105103224/e6cca83b8d4c) (YouTube)
13. [Lec 13: HL-RF for Correlated Problems](https://invisiblenetwork.ai/learn/nptel/105103224/80ad4c0bc907) (YouTube)
14. [Lec 14: FORM using MATLAB](https://invisiblenetwork.ai/learn/nptel/105103224/5f431caa4c32) (YouTube)
15. [Lec 15: FORM using MATLAB Contd.](https://invisiblenetwork.ai/learn/nptel/105103224/dcedc8c700d8) (YouTube)
16. [Lec 16: FORM Using FEM](https://invisiblenetwork.ai/learn/nptel/105103224/857bc63bc80e) (YouTube)
17. [Lec 17: Morgenstern Model](https://invisiblenetwork.ai/learn/nptel/105103224/71ce2d669cb4) (YouTube)
18. [Lec 18: Nataf Model](https://invisiblenetwork.ai/learn/nptel/105103224/6ec71e5b6101) (YouTube)
19. [Lec 19: Rosenblatt Transformation](https://invisiblenetwork.ai/learn/nptel/105103224/778c930c78b1) (YouTube)
20. [Lec 20: Breitung's Model](https://invisiblenetwork.ai/learn/nptel/105103224/2da2596d58fa) (YouTube)
21. [Lec 21: Tvedt's Model](https://invisiblenetwork.ai/learn/nptel/105103224/2bc656e99bef) (YouTube)
22. [Lec 22: Monte-Carlo Simulation](https://invisiblenetwork.ai/learn/nptel/105103224/391ebea4e34c) (YouTube)
23. [Lec 23: Importance Sampling](https://invisiblenetwork.ai/learn/nptel/105103224/68a8a4db3e6f) (YouTube)
24. [Lec 24: Least Square Approximation](https://invisiblenetwork.ai/learn/nptel/105103224/44f73a71e70b) (YouTube)
25. [Lec 25: Orthogonal Polynomials](https://invisiblenetwork.ai/learn/nptel/105103224/839f3b98acc9) (YouTube)
26. [Lec 26: Response Surface Method](https://invisiblenetwork.ai/learn/nptel/105103224/e0cef2c5b632) (YouTube)
27. [Lec 27: Stochastic Response Surface Method](https://invisiblenetwork.ai/learn/nptel/105103224/3febbb54bc67) (YouTube)
28. [Lec 28: Moving Least Sqaure Method](https://invisiblenetwork.ai/learn/nptel/105103224/cf9c136d39f7) (YouTube)
29. [Lec 29: Adaptive–SRSM](https://invisiblenetwork.ai/learn/nptel/105103224/d67e76cda18b) (YouTube)
30. [Lec 30: Partial Safety Factors](https://invisiblenetwork.ai/learn/nptel/105103224/53d6fe2cae3b) (YouTube)
31. [Lec 31: Optimal Partial Safety Factors](https://invisiblenetwork.ai/learn/nptel/105103224/71704a5adba8) (YouTube)
32. [Lec 32: FORM - Revisited](https://invisiblenetwork.ai/learn/nptel/105103224/770519e75e8e) (YouTube)
33. [Lec 33: Subset Simulation](https://invisiblenetwork.ai/learn/nptel/105103224/9c2cb42a24bd) (YouTube)
34. [Lec 34: Application](https://invisiblenetwork.ai/learn/nptel/105103224/fb17241c2129) (YouTube)
35. [Lec 35: Applications Contd.](https://invisiblenetwork.ai/learn/nptel/105103224/f08851b2d81b) (YouTube)
36. [Lec 36: Introduction to Stochastic FEM](https://invisiblenetwork.ai/learn/nptel/105103224/f3dbca3931c0) (YouTube)