Semester: 2 / Winter
Lectures/Classes: 30 / 30 hours
Field of study: Civil Engineering
Study cycle: 2nd cycle
Type of course: compulsory
Contact person: prof. dr hab. inż. Paweł Śniady
Short description: The structural analysis methods will be exposed to random loads, taking into account the random properties of the structure parameters, stochastic finite element method, the method of evaluation and analysis of structural reliability, load modeling, the description of degradation of the structure and propagation of damage.
Full description: Introduction. Aim of the lectures. Uncertain, risk, hazard. Random variables. Basic definitions. Properties of probability functions. Parameters of a random variables. Probabilistic analysis of structures. Correlation theory. Stochastic finite element method. Introduction to classical reliability theory. Reliability analysis of components. Reliability of series system, parallel system, mixed system. Reliability of bar structures. Characteristic values. Calibration. The Cornell reliability index. Hasofer-Lind index..First order reliability method. Second order reliability method. Introduction to time variant reliability analysis. The Poisson process. Structural load models. Modelling of load. Degradation of structures.
Bibliography: 1. M. H. Faber, Basics Structural Reliability. 2. A. S. Nowak, K. R. Collins, Reliability of Structures 3. General principles on reliability for structures, ISO 2394 Every Student receives the PDF file with the lectures and a book M. H. Faber, Basics Structural Reliability
Learning outcomes: Knowledge He knows the probabilistic method of structural analysis. He knows the structural reliability assessment methods. He knows the real modeling loads and structural degradation. Skills It can determine the probability of response characteristics to the design of a random load. Able to estimate the reliability of the structure. Social competences Is aware of the presence of parameter uncertainties and load structure and the need to assess the safety and reliability of the design.
Assessment methods and assessment criteria: Assessment: completion of the project, exam.

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