Course Details
Subject {L-T-P / C} : CE6030 : Reliability Methods in Civil Engineering { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Dr. Subhajit Mondal
Syllabus
Prerequisites: Undergraduate level courses on structural analysis/strength of materials/solid mechanics.
Course Details:
Topic 1: General overview of the structural reliability and its role in civil engineering design.
Topic 2: Fundamental theory of Statistics and Theory of probability, Probability Distributions (Continuous & Discrete), Random processes/fields, Random Variables, Random vectors
Topic 3: Reliability definitions, different levels of reliability and their sequential developments, Basic variables, Failure Surface Definition of Reliability in Std. Normal Space (Cornell’sReliability Index), First Order Reliability Method (FORM) Hasofer-Lind’s Definition of Reliability Rackwitz-Fiessler Algorithm Asymptotic Integral, Second Order Reliability Method (SORM) etc.
Topic 4: Monte-Carlo Methods Latin Hypercube Sampling, Variance Reduction, Technique, Importance Sampling and Adaptive Sampling Subset Simulation
Topic 5: The treatment of implicit limit states using Meta models like Response Surface Method (RSM), Adaptive Response Surface Method and the recently developed Stochastic Response Surface Method (SRSM) techniques are explained with examples.
Topic 6: The knowledge of reliability will be applied for Stochastic Models of Loads, Code Calibration, Partial Safety Factors, and LRFD Format System Reliability analysis
Topic 7: Introduced to structural reliability analysis under fatigue loading, Dynamic loading etc.
Topic 8: The application of reliability methods for structural design optimization
Topic 9: Reliability analysis of complex real life structures using MATLAB and commercially available software for finite element analysis software in batch mode.
Topic 10 Brief introduction to Stochastic FEM and their role in reliability analysis is presented.
Instruction for the assignments:
1. All the assignments homework must be submitted with clear and neat calculations and neat sketches. Sloppy, disorganized homework will not be graded.
2. Assignment must be submitted on or before the time mentioned in the assignment. For late submission student need to take permission prior to the due date of the submission (with proper documents)
Course Objectives
- Identify sources of uncertainty in structural problems
- Develop probabilistic models or input/system parameter uncertainty
- Compute the reliability index and Bounds on the properties (e.g. Limit states) for structural systems
- Application of reliability analysis to structural systems
Course Outcomes
Students should be able to identify the different source of uncertainty present in a structure and analyse the structure using different reliability-based methods at the end of the courses.
Essential Reading
- (1) Nowak, A.S. & Collins K.R., Reliability of Structures, McGraw-Hill, New York, 2000., (2) Bucher C. Computational Analysis of Randomness in Structural Mechanics, CRC Press, London, UK, 2009., (3) Ayyub B M, McCuen R H. Probability, Statistics and Reliability for Engineers and Scientists, Chapman & Hall, Florida, USA, 2000. , (4) Ranganathan R. Structural Reliability Analysis & Design. Jaico Publishing House, <br />Mumbai, India, 1999
- (5) Melchers R E. Structural Reliability: Analysis and Prediction, John Wiley, Chichester, 1999., (6) Ang A H S & Tang W H. Probability Concepts in Engineering Planning and Design, Vol II, John Wiley, New York, 1984, (7) Madsen H O, Krenk S and Lind N C. Methods of Structural Safety, Prentice-Hall, Inc, Englewood Cliffs, USA, 1986 , (8) Choi S K, Grandhi R V and Canfield R A. Reliability Based Structural Design, Springer- <br />Verlag, London, UK, 2007
Supplementary Reading
- (9) Haldar A & Mahadevan S. Reliability Assessment Using Stochastic Finite Element Analysis, John-Wiely & Sons Inc., New York, USA, 2000, (10) Rackwitz R, Augusti G and Borri A. Reliability and Optimization of Structural Systems, Chapman & Hall, London, UK, 1995, . , .
- (11) Waarts P H. Structural Reliability Using Finite Element Methods, Delft Univ. Press, Netherland, 2000., (12) Breitung K W. Lecture Notes in Mathematics, Springer-Verlag, Berlin, Germany, 1994, (13) Benjamin, J.R. & Cornel, C.A., Probability, Statistics and Decision for Civil Engineers, McGraw-Hill, New York, 1970. , .
Journal and Conferences
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