Reliability of Structures

Lecturer:

Tutor:

Supervisor:

Department of Mechanics

Synopsis:

Definition of reliability Probability and

statistics. Structural reliability - reliability systems,

elements and connections; reliability function and mean life.

Reliability of systems with repair, transition matrix, Ch-K

equations. Random behavior of load. Closed-form solutions in

structural reliability. Numerical approach to structural

reliability (FORM, AFOSM, MONTE CARLO, LHS). Applications.

Fuzzy-probabilistic approach. Codified design format.

Requirements:

none

Syllabus of lectures:

1. Definition of reliability, patterns and modes of failure, limit states, factor of safety and reliability, reliability management

2. Probability and statistics - conditional probability, the teorem of total probabilities, Bayes theorem, simple examples

3. Discrete and continuous random variables, jointly distributed random variables

4. Structural reliability - reliability systems, elements and connections, method of structural decomposition

5. Reliability function and meanlife

6. Reliability systems with repair, transition matrix, Chapman-Kolmogorov Eqs.

7. Random behavior of load - anlysis of load data, duration curves

8. Closed-form solutions in structural reliability. Reliability index.

9. Numerical approach to structural reliability I. (FORM, SORM, AFOSM algorithm)

10. Numerical approach to structural reliability II. (Monta Carlo sampling)

11. Numerical approach to structural reliability III. (stratified sampling, LHS)

12. Applications to precast and steel structures

13. Basics of risk management I

14. Basics of risk management II

Syllabus of tutorials:

Study Objective:

Studens will get acquainted with analytical and numerical methods of structural reliability assessment.

Study materials:

1. J. B. Thomas: An introduction to applied probability and random processes. John Wiley & Sons, Inc., New York, London, Sydney, Toronto, 1971. 2. S. S. Rao: Reliability-Based Design. Mc Graw-Hill, Inc., New York - Toronto, 1992 3. D. Blockley: The nature of Structural design and safety. Ellis Horwood Limited, John Wiley & Sons, 1980.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: