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Lecturer(s)
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Doležel Vladimír, doc. Ing. CSc.
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Řoutil Ladislav, doc. Ing. Ph.D.
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Course content
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- structural resistance and load action as two independent random variables, limit states - reliability reserve - failure probability, reliability index - approximation techniques (Cornell reliability index, Hasofer-Lind index / FORM, SORM) - simulation method (Monte Carlo, LHS, Importance Sampling) - the introduction of statistical dependence - sensitivity analysis - reliability Systems - methods to include probabilistic aspects in standards for structural design - software tools for solving problems of reliability of structures - durability of structures - introduction to Risk Engineering - Weibull damage theory - random fields - stochastic finite element method
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Learning activities and teaching methods
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unspecified, Work-related activities
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Learning outcomes
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Students will gain basic knowledge of the reliability of structures. They will understand the nature of the following areas: structural resistance and load action as two independent random variables, reserve of reliability, failure probability, reliability index, approximation techniques (Cornell reliability index, Hasofer-Lind index/FORM, SORM) and simulation methods (Monte Carlo, LHS, importance Sampling) to determine the probability of failure, sensitivity analysis, the method including probabilistic aspects in standards, software tools for solving problems of reliability of structures.
Students will gain basic knowledge of the reliability of structures and will be able to apply them in the design of structures.
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Prerequisites
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Knowledge of probability and statistics, structural mechanics/elasticity, design of structures.
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Assessment methods and criteria
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Oral examination, Written examination
To obtain the course credit, the student works out an individual project that will be presenting at the end of the semester. The exam consists of written and oral parts.
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Recommended literature
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Probalistic model code. JCSS. (www.jcss.byg.dtu.dk/Publications/Probabilistic_Model_Code.aspx)..
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Ang, A. H.-S., Tang, W. H. Probability Concepts in Engineering. John Wiley & Sons, Inc. 2007..
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Holický M., Marková J. Základy teorie spolehlivosti a hodnocení rizik, ČVUT Praha 2005, ISBN 80-01-03129-2..
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Kreidl M. a kol. Diagnostické systémy. ČVUT Praha, 2001.
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Krejsa M., Konečný P. Spolehlivost a bezpečnost staveb, VŠB-TU Ostrava, 2011..
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LÁNSKÝ, M., MAZÁNEK, J. Diagnostika a IDS,. skripta DFJP, 2001.
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Moos P. Informační technologie, ČVUT 1993.. Praha, 1993.
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Sadílek V., Vořechovský M., Doležel J. Řešené úlohy z oblasti spolehlivosti stavebních konstrukcí, VUT v Brně, 2010..
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Teplý T., Novák D. Spolehlivost stavebních konstrukcí, CERM Brno 2004, ISBN 80-214-2577-6..
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