Reliability-Based Structural Design

By Prof. Arunasis Chakraborty | IIT Guwahati

Learners enrolled: 458 | Exam registration: 15

ABOUT THE COURSE:
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.

Summary

Course Status :	Completed
Course Type :	Elective
Language for course content :	English
Duration :	12 weeks
Category :	Civil Engineering
Credit Points :	3
Level :	Undergraduate/Postgraduate
Start Date :	24 Jul 2023
End Date :	13 Oct 2023
Enrollment Ends :	07 Aug 2023
Exam Registration Ends :	18 Aug 2023
Exam Date :	28 Oct 2023 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1: Theory of Probability-I: Probability Distributions (Discrete and Continuous), one-dimensional Random Variables (Discrete and Continuous) PDF & CDF.

Week 2: Probability Theory-II: Functions of Random Variable, Algebra of Variance, Expectations, and moments.

Week 3: Multi-dimensional Random Variables- Joint distributions, Conditional & Marginal PDF and PMF, Expectation Operator in Two dimensions, Covariance, and Correlation.

Week 4: Reliability Levels: Level-2 Reliability Methods, Concept of Reliability Index, Cornell´s Reliability Index, Hasofer-Lind Reliability Index.

Week 5: First Order Reliability Methods- Mean Value First Order Second Moment (MVFOSM) method, First Order Reliability Method (FORM), Rackwitz-Fiessler Algorithm.

Week 6: Iso-probabilistic transformation of random variables: Morgenstern & NATAF Transformation, Rosenblatt Transformation: JPDF & JCDF. Application in FORM.

Week 7: Introduction to Second Order Reliability Method (SORM): Breitung´s approximation, Tvedt´s Three Term approximation. Examples.

Week 8: Simulation-Based Reliability Analysis- Monte-Carlo Simulation, Variance Reduction Technique, Importance Sampling method.

Week 9: Metamodel-Based Reliability Analysis-I: Implicit Performance Function, Polynomial Response Surface Method (RSM).

Week 10: Metamodel-Based Reliability Analysis-II: Moving Least Square Methods in metamodeling. Applications of MLS in surrogate modelling. Case Studies.

Week 11: Code Calibration: Determination of partial safety factors, Optimal safety factors.

Week 12: Case Studies: FEM Modelling for reliability analysis, Applications. Introduction to Stochastic FEM

Books and references

1. Papoulis A. Probability, Random Variables and Stochastic Processes, Tata-McGraw-Hill, New Delhi, 2002.
2. Ranganathan R. Structural Reliability Analysis & Design. Jaico Publishing House, Mumbai, 1999.
3. Melchers R E. Structural Reliability: Analysis and Prediction, 2nd Edition, John Wiley, Chichester, 1999.
4. Ang A H S & Tang W H. Probability Concepts in Engineering Planning and Design, Vol II, John Wiley, New York, 1984.
5. Haldar A & Mahadevan S. Probability, Reliability & Statistical Methods In Engineering Design. John Wiley and Sons, New York, 2000.

Instructor bio

Prof. Arunasis Chakraborty

IIT Guwahati

Prof. Arunasis Chakraborty has been associated with IIT Guwahati since 2009 where he is currently serving as a Professor in the Department of Civil Engineering and Center for Disaster Management & Research. His major areas of research include uncertainty quantification & reliability analysis, condition assessment, vibration control and wind energy. Dr. Chakraborty published in various peer reviewed international journals and conferences. He also participated in joint research and development projects with other academic institutions, government agencies and high-tech industries that included Rice University, Chalmers University, BRNS, DST, NPCIL, BRO, NF Railway among many others.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.

The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).

Date and Time of Exams: 28 October 2023 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.

Registration url: Announcements will be made when the registration form is open for registrations.

The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.

Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Guwahati .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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