Course Details

# Reliabilty Theory of Building Materials

NDB026 course is part of 1 study plan

NPC-SIM Winter Semester 2nd year

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 according to standards, theoretical failure probability, reliability conditions, reliability reserve, reliability index, numerical simulation methods of Monte Carlo type, 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.

Course Guarantor

Institute

Objective

Stochastic model, reliability condition, numerical simulation methods, limit states, linear elastic fracture mechanics.

Knowledge

Student will learn following: Stochastic model, reliability condition, numerical simulation methods, limit states, linear elastic fracture mechanics.

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 states and philosophy of design by standards; Reliability standards: theoretical failure probability, reliability index.
3. Numerical simulation method Monte Carlo in applications.
4. Computation model, model uncertainty, grosses errors.
5. Numerical simulation methods Latin Hypercube Sampling, Importace Sampling in applications, FORM, SORM approximation methods.
6. Linear elastic fracture mechanic - used of statistics and sensitivity analysis; verification and calibration of standards; design procedures.
7.–8. Modeling of failure process in concrete structures; Fictive crack model, Fictive crack model and rotate crack model.
9.–10. Reliability of the elements made of quasi-brittle materials, computations in ATENA code.

Prerequisites

Knowledge from Elasticity, Structural mechanic, Probability and Statistics calculus.

Language of instruction

Czech

Credits

4 credits

Semester

winter

Forms and criteria of assessment

course-unit credit

Specification of controlled instruction, the form of instruction, and the form of compensation of the absences

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

Offered to foreign students

Not to offer

Course on BUT site

Lecture

13 weeks, 1 hours/week, elective

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 states and philosophy of design by standards; Reliability standards: theoretical failure probability, reliability index. 3. Numerical simulation method Monte Carlo in applications. 4. Computation model, model uncertainty, grosses errors. 5. Numerical simulation methods Latin Hypercube Sampling, Importace Sampling in applications, FORM, SORM approximation methods. 6. Linear elastic fracture mechanic - used of statistics and sensitivity analysis; verification and calibration of standards; design procedures. 7.–8. Modeling of failure process in concrete structures; Fictive crack model, Fictive crack model and rotate crack model. 9.–10. Reliability of the elements made of quasi-brittle materials, computations in ATENA code.

Exercise

13 weeks, 1 hours/week, compulsory

Syllabus

1. Recapitulation of probability and statistics using simple examples. 2. Examples on usage of Cornell reliability index. 3. Simple example to learn Monte Carlo simulation method using Excel. 4. Calculations of failure probability via Latin Hypercube Sampling in Excel. 5. More complex examples on simulation methods using Excel. 6. Linear elastic fracture mechanics, simple calculations. 7.–8. Finite element method software Atena, creation of computational model. 9.–10. Randomization of Atena model through Sara studio.