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# Course detail

## Theory of Reliability

Subjet code : FAST-CD06 Faculty of Civil Engineering 2011/2012 Yes prof. Ing. Drahomír Novák, DrSc. Institute of Structural Mechanics n. a. Czech n. a. course-unit credit and examination n. a. summer

The study programmes with the given course

 Objective of the course – aims of the course unit: Students will get basic knowledge from reliability theory: creation of stochastic model, reliability condition, numerical simulation methods of Monte Carlo type, limit states, risk engineering. Objective of the course – learning outcomes and competences: Student will learn basic knowledge from reliability theory: creation of stochastic model, reliability condition, numerical simulation methods of Monte Carlo type, limit states, risk engineering. Prerequisites: Knowledge from Elasticity and plasticity, Structural mechanic, Probability and statistics. Course contents (annotation): 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 standards, theoretical failure probability, reliability conditions, reliability reserve, reliability index, numerical simulation method Monte Carlo, Latin 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. Introduction into risk engineering. Teaching methods and criteria: n. a. Assesment methods and criteria linked to learning outcomes: Requirements for successful completion of the subject are specified by guarantor’s regulation updated for every academic year. 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 standards. 3.Reliability standards: theoretical failure probability, reliability index. 4.Aproximační metody 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.Used of statistics and sensitivity analysis for design of structures and verification and calibration of standards design procedures. 11.Imperfections analysis and this influence to failure of steel structures. l2.Unbalanced of the failure probability of the structures designed by standards, option of input variability modelling. 13.Introduction of Risk engineering. n.Reliability software - replenishment, conclusion and recapitulate. 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 reading: B. Teplý, D. Novák: Spolehlivost stavebních konstrukcí. CERM Brno 1999J. Schneider: Introduction to safety and reliability. ETH Zurich 1996

Type of course unit:
Lecture: 26 hours, optionally prof. Ing. Drahomír Novák, DrSc. 13 hours, compulsory prof. Ing. Drahomír Novák, DrSc.