ST4005 Reliability Analysis of Structures Syllabus:
ST4005 Reliability Analysis of Structures Syllabus – Anna University PG Syllabus Regulation 2021
OBJECTIVE:
To develop knowledge to solve structural analysis problems using reliability concepts.
UNIT I DATA ANALYSIS
Graphical representation Histogram, frequency polygon, Measures of central tendency- grouped and ungrouped data, measures of dispersion, measures of asymmetry. Curve fitting and Correlation: Fitting a straight line, curve of the form y = abx , and parabola, Coefficient of correlation
UNIT II PROBABILITY CONCEPTS
Random events-Sample space and events, Venn diagram and event space, Measures of probability interpretation, probability axioms, addition rule, multiplication rule, conditional probability, probability tree diagram, statistical independence, total probability theorem and Baye’s theorem
UNIT III RANDOM VARIABLES
Probability mass function, probability density function, Mathematical expectation, Chebyshev’s theorem. Probability distributions: Discrete distributions- Binomial and poison distributions, Continuous distributions, Normal, Log normal distributions
UNIT IV RELIABILITY ANALYSIS
Measures of reliability-factor of safety, safety margin, reliability index, performance function and limiting state. Reliability Methods-First Order Second Moment Method (FOSM), Point Estimate Method (PEM), and Advanced First Order Second Moment Method (Hasofer-Lind’s method).
UNIT V SYSTEM RELIABILITY
Influence of correlation coefficient, redundant and non-redundant systems series, parallel and combined systems, Uncertainty in reliability assessments- Confidence limits, Bayesian revision of reliability. Simulation Techniques: Monte Carlo simulation- Statistical experiments, sample size and accuracy, Generation of random numbers, random numbers with standard uniform distribution, continuous random variables, discrete random variables
OUTCOMES:
On completion of this course, the student is expected to be able to
CO1 Achieve the Knowledge of design and development of problem-solving skills.
CO2 Understand the principles of reliability.
CO3 Design and develop analytical skills.
CO4 Summarize the Probability distributions
CO5 Understands the concept of System reliability.
REFERENCES:
1. A Papoulis, Probability, Random Variables and Stochastic Processes, McGraw-Hill, New York, 2017.
2. R E Melchers, Structural Reliability Analysis and Prediction, Third Edition, John Wiley & Sons Ltd, Chichester, England,2018.
3. O. Ditlevsen, H. O. Madsen, Structural Reliability Methods, Wiley, 1st Edition, 1996.
4. Srinivasan Chandrasekaran, Offshore Structural Engineering: Reliability and Risk Assessment, CRC Press, Florida, 2016.
5. Jack R Benjamin, C. Allin Cornell, Probability, Statistics, and Decision for Civil Engineers, Dover Publications, New York, 2014.