Course detail

Reliability of Building Structures (1)

FAST-D31Acad. year: 2019/2020

Introduction of reliability theory, reliability background of standards for structural design (Eurocodes), Structural resistance and load action as two independent random variables, limit state and philosophy of design by standard EN1990, theoretical failure probability, reliability conditions, reliability reserve, reliability index, numerical simulation method Monte Carlo, Latine Hypercube Sampling, Importace Sampling, basic methods for failure probability analysis of structures designed by standards for design, basic methods for statistics, sensitivity and probabilistic analysis application to steel structures design.

Language of instruction

Czech

Number of ECTS credits

2

Guarantor

prof. Ing. Drahomír Novák, DrSc.

Department

Institute of Structural Mechanics (STM)

Learning outcomes of the course unit

Not applicable.

Prerequisites

Knowledge from Elasticity, Structural mechanic, Probability and Statistics.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

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 standard EN1990.
3.Reliability standards: theoretical failure probability, reliability index.
4.Numerical simulation method Monte Carlo in applications.
5.Computation model, model uncertainty, grosses errors.
6.Numerical simulation methods Latine Hypercube Sampling, Importace Sampling in applications.
7.Random process and random fields – Stochastic finite element methods and these applications.
8.Probabilistic optimization, problems of live-time of structures.
9.Used of statistics and sensitivity analysis for design of structures.
10.Verification and calibration of standards design procedures.
11.Imperfections analysis and this influence to failure of steel structures.
12.Unbalanced of the failure probability of the structures designed by standards, option of input variability modelling.
13.Reliability software - replenishment, conclusion and recapitulate.

Work placements

Not applicable.

Aims

Stochastic model, reliability condition, numerical simulation method, limit states.

Specification of controlled education, way of implementation and compensation for absences

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

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Madsen, H. O., Krenk, S.: Methods of Structural Safety. Prentice Hall, Englewood Cliffs 1986
Thoft-Christensen P., Baker, M. J.: Structural Reliability theory and its applications. Springer-Verlag, Berlin 1982
Tichý, M.: Applied methods of structural reliability. Kluwer Academic Publishers, Dordrech 1993

Recommended reading

Not applicable.

Type of course unit

 

Lecture

13 hours, optionally

Teacher / Lecturer

prof. Ing. Drahomír Novák, DrSc.

Syllabus

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 standard EN1990. 3.Reliability standards: theoretical failure probability, reliability index. 4.Numerical simulation method Monte Carlo in applications. 5.Computation model, model uncertainty, grosses errors. 6.Numerical simulation methods Latine Hypercube Sampling, Importace Sampling in applications. 7.Random process and random fields – Stochastic finite element methods and these applications. 8.Probabilistic optimization, problems of live-time of structures. 9.Used of statistics and sensitivity analysis for design of structures. 10.Verification and calibration of standards design procedures. 11.Imperfections analysis and this influence to failure of steel structures. 12.Unbalanced of the failure probability of the structures designed by standards, option of input variability modelling. 13.Reliability software - replenishment, conclusion and recapitulate.

Exercise

13 hours, compulsory

Teacher / Lecturer

prof. Ing. Drahomír Novák, DrSc.