Czech

Not applicable.

Institute of Structural Mechanics (STM)

Student is able to directly or via some approximation method (especially Cornell reliabilioty index) evaluate failure probability. Student is also capable of using simulation methods Monte Carlo and Latin Hypercube Sampling. Student can use these methods to estimate failure probability of simpler problems from civil engineering. Student understands reliability background of design codes (Eurocode). Student elaborates semestral work and presents its results in front of the class.

Knowledge from Elasticity and plasticity, Structural mechanics, Probability and statistics.

experience in Microsoft office software Excel

During lectures, standard model of theory explanation using the blackboard and projector is used. In the training course, students themselves solves tasks on a paper or with a help of computer. In the second part of training, there is a semestral project which is at the end of the course presented to the rest of the students.

Conditions to get credit are (i) active presence in training course (two absences are allowed) and (ii) submission of semestral report describing failure estimation of individually selected random phenomenon.
For examination, students are required to (i) present the semestral work in front of the class and also (ii) pass the test, which is composed of both theoretical questions and practical tasks.

1.Introduction of reliability theory, reliability background of standards for structural design (Eurocodes), structural resistance and load action as two independent random variables, reliability condition, reserve of reliability.
2.Limit state and philosophy of design by standards.
3.Reliability standards: theoretical failure probability, reliability index.
4.Aproximation methods FORM a SORM.
5.Numerical simulation method Monte Carlo in applications.
6.Computation model, model uncertainty, grosses errors.
7.Numerical simulation methods Latine Hypercube Sampling, Importace Sampling in applications.
8.Random process and random fields – Stochastic finite element methods and these applications.
9.Probabilistic optimization, problems of live-time of structures.
10.Weibull theory.
11.Unbalanced levels of the failure probability of the structures designed by standards, option of input variability modelling.
l2.Introduction of Risk engineering.
13.Reliability software - summary and conclusion.

Not applicable.

Students will get basic knowledge from theory of structural reliability: Stochastic model creation, reliability condition, numerical simulation methods of Monte Carlo type, limit states, risk engineering. Present reliability software will be introduced.

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Extension of semestral work by more advanced reliability function, eg. using Ansys, Atena of self-created software. For this purpose, special meeting are organized.

Not applicable.

B. Teplý, D. Novák: Spolehlivost stavebních konstrukcí. CERM Brno, 1999. (CS)

J. Schneider: Introduction to safety and reliability. ETH Zurich, 1996. (EN)