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Course10510322436 lectures

Reliability-Based Structural Design

Prof. Arunasis Chakarborty · IIT Guwahati

Start with lecture 1 At NPTEL

About

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

Week 1

  1. Lec 1: Introduction YouTube
  2. Lec 2: Random Variable YouTube
  3. Lec 3: Functions of Random Variables YouTube
  4. Lec 4: Joint Distributions YouTube

Week 2: Theory of Probability

  1. Lec 5: Mt. Gen. Func. & CLT YouTube
  2. Lec 6: Theory of Estimation YouTube
  3. Lec 7: Goodness of Fit YouTube

Week 3: First Order Reliability Methods (FORM)

  1. Lec 8: MVFOSM YouTube
  2. Lec 9: MVFOSM Contd. YouTube
  3. Lec 10: Hasofer-Lind Rel. Index YouTube

Week 04: First Order Reliability Methods (FORM)

  1. Lec 11: Rackwitz's Algorithm Contd. YouTube
  2. Lec 12: HL-RF for Non-Normal Problems YouTube
  3. Lec 13: HL-RF for Correlated Problems YouTube

Week 05:First Order Reliability Method

  1. Lec 14: FORM using MATLAB YouTube
  2. Lec 15: FORM using MATLAB Contd. YouTube
  3. Lec 16: FORM Using FEM YouTube

Week 06: Iso-Probabilistic Transformation

  1. Lec 17: Morgenstern Model YouTube
  2. Lec 18: Nataf Model YouTube
  3. Lec 19: Rosenblatt Transformation YouTube

Week 07: Second Order Reliability Methods (SORM)

  1. Lec 20: Breitung's Model YouTube
  2. Lec 21: Tvedt's Model YouTube

Week 08: Simulation Based Reliability Analysis

  1. Lec 22: Monte-Carlo Simulation YouTube
  2. Lec 23: Importance Sampling YouTube

Week 09: Metamodel Based Reliability Analysis

  1. Lec 24: Least Square Approximation YouTube
  2. Lec 25: Orthogonal Polynomials YouTube
  3. Lec 26: Response Surface Method YouTube

Week 10: Metamodel Based Reliability Analysis

  1. Lec 27: Stochastic Response Surface Method YouTube
  2. Lec 28: Moving Least Sqaure Method YouTube
  3. Lec 29: Adaptive–SRSM YouTube

Week 11: Code Calibration

  1. Lec 30: Partial Safety Factors YouTube
  2. Lec 31: Optimal Partial Safety Factors YouTube

Week 12: Miscellaneous

  1. Lec 32: FORM - Revisited YouTube
  2. Lec 33: Subset Simulation YouTube
  3. Lec 34: Application YouTube
  4. Lec 35: Applications Contd. YouTube
  5. Lec 36: Introduction to Stochastic FEM YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Guwahati
Department
Civil Engineering
Teacher
Prof. Arunasis Chakarborty
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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