Zachodniopomorski Uniwersytet Technologiczny w Szczecinie

Wydział Budownictwa i Architektury - Civil Engineering (S2)

Sylabus przedmiotu Structural Reliability Theory:

Informacje podstawowe

Kierunek studiów Civil Engineering
Forma studiów studia stacjonarne Poziom drugiego stopnia
Tytuł zawodowy absolwenta magister
Obszary studiów nauki techniczne, studia inżynierskie
Profil ogólnoakademicki
Moduł —
Przedmiot Structural Reliability Theory
Specjalność Engineering Structures
Jednostka prowadząca Katedra Teorii Konstrukcji
Nauczyciel odpowiedzialny Radosław Iwankiewicz <riwankiewicz@zut.edu.pl>
Inni nauczyciele Ewa Silicka <Ewa.Silicka@zut.edu.pl>
ECTS (planowane) 2,0 ECTS (formy) 2,0
Forma zaliczenia zaliczenie Język angielski
Blok obieralny — Grupa obieralna —

Formy dydaktyczne

Forma dydaktycznaKODSemestrGodzinyECTSWagaZaliczenie
wykładyW2 30 1,00,50zaliczenie
projektyP2 15 1,00,50zaliczenie

Wymagania wstępne

KODWymaganie wstępne
W-1Mathematics courses pertinent to BSc in Engineering degree course.
W-2Structural Mechanics.

Cele przedmiotu

KODCel modułu/przedmiotu
C-1Capability to use the methods of probability theory, in particular the methods of random variables in problems of structural reliability.
C-2Capability to formulate and solve the reliability problem for linear failure (safety margin, or limit state) function and normal basic variables.
C-3Capability to formulate and solve the reliability problem for non-linear failure (safety margin, or limit state) function and normal basic variables.

Treści programowe z podziałem na formy zajęć

KODTreść programowaGodziny
projekty
T-P-1Example problems: determination of probability of failure and survival (reliability) of single structural elements and their combinations (in series, in parallel, etc.)3
T-P-2Example problems: determination of probability distribution function, cumulative distribution function and statistical moments of some discrete random variables.4
T-P-3Example problems: determination of probability density, cumulative distribution function and statistical moments of some continuous random variables.4
T-P-4Example problems: determination of approximate reliability index for non-linear safety margin functions with the aid of Cornell method.2
T-P-5Example problems: iterative determination of reliability index for non-linear safety margin functions with the aid of Hasofer-Lind method.2
15
wykłady
T-W-1Uncertainties in Structural Engineering. Events of failure and survival.2
T-W-2Probability theory (revision). Sample space and events. Axioms and theorems of probability theory. Probability of failure and survival (reliability) of single structural elements and their combinations.4
T-W-3Random variables: discrete and continuous probability distribution, cumulative distribution and density function, statistical moments. Transformation of random variables. Example probability distributions, e.g. Gaussian (normal), lognormal, extreme value distributions type I (Gumbel), type II (Frechet), type III (Weibull).8
T-W-4Safety margin and reliability index for linear failure (safety margin, or limit state) function and normal basic variables.4
T-W-5Non-linear safety margin (failure or limit state) function and normal basic variables. Linearization (Taylor series expansion) about the mean point (about the expected values) - Cornell method. Approximate reliability index .4
T-W-6Non-linear safety margin (failure or limit state) function and normal basic variables. Linearization (Taylor series expansion) about the design point – Hasofer-Lind method.4
T-W-7Poisson counting process and reliability vs. time: probability distribution of time to failure, expected life-time, expected failure (breakdown rate), expected time between breakdowns .4
30

Obciążenie pracą studenta - formy aktywności

KODForma aktywnościGodziny
projekty
A-P-1Attending the example classes.15
A-P-2Private (home) study.5
A-P-3Home assignments (two major assignments).5
A-P-4Studying/revision for the final test.5
30
wykłady
A-W-1Attending the lectures.30
30

Metody nauczania / narzędzia dydaktyczne

KODMetoda nauczania / narzędzie dydaktyczne
M-1Lectures.
M-2Solving problems and home assignments.

Sposoby oceny

KODSposób oceny
S-1Ocena formująca: Final test mark.
S-2Ocena formująca: Assessment of home assignments.

Zamierzone efekty kształcenia - wiedza

Zamierzone efekty kształceniaOdniesienie do efektów kształcenia dla kierunku studiówOdniesienie do efektów zdefiniowanych dla obszaru kształceniaOdniesienie do efektów kształcenia prowadzących do uzyskania tytułu zawodowego inżynieraCel przedmiotuTreści programoweMetody nauczaniaSposób oceny
B-A_2A_ES/D/08_W01
Student should be able to develop simple mathematical models for analysis of structural reliability.		B-A_2A_W01——C-1, C-2, C-3T-W-1, T-W-2, T-W-3, T-W-4, T-W-5, T-W-6, T-W-7, T-P-2, T-P-3, T-P-1, T-P-4, T-P-5M-1, M-2S-1, S-2

Zamierzone efekty kształcenia - umiejętności

Zamierzone efekty kształceniaOdniesienie do efektów kształcenia dla kierunku studiówOdniesienie do efektów zdefiniowanych dla obszaru kształceniaOdniesienie do efektów kształcenia prowadzących do uzyskania tytułu zawodowego inżynieraCel przedmiotuTreści programoweMetody nauczaniaSposób oceny
B-A_2A_ES/D/08_U01
Student should be able to solve numerically the equations occurring in structural reliability problems.		B-A_2A_U01——C-1, C-2, C-3T-W-1, T-W-2, T-W-3, T-W-4, T-W-5, T-W-6, T-W-7, T-P-2, T-P-3, T-P-1, T-P-4, T-P-5M-1, M-2S-1, S-2

Zamierzone efekty kształcenia - inne kompetencje społeczne i personalne

Zamierzone efekty kształceniaOdniesienie do efektów kształcenia dla kierunku studiówOdniesienie do efektów zdefiniowanych dla obszaru kształceniaOdniesienie do efektów kształcenia prowadzących do uzyskania tytułu zawodowego inżynieraCel przedmiotuTreści programoweMetody nauczaniaSposób oceny
B-A_2A_ES/D/08_K01
Student shows the capability to make a plan for an undertaken research/computational project, to execute it and to observe deadlines.		B-A_2A_K01——C-1, C-2, C-3T-W-1, T-W-2, T-W-3, T-W-4, T-W-5, T-W-6, T-W-7, T-P-2, T-P-3, T-P-1, T-P-4, T-P-5M-1, M-2S-1, S-2

Kryterium oceny - wiedza

Efekt kształceniaOcenaKryterium oceny
B-A_2A_ES/D/08_W01
Student should be able to develop simple mathematical models for analysis of structural reliability.		2,0
3,0Student has a good knowledge of mathematical tools necessary in analysis structural reliability.
3,5
4,0
4,5
5,0

Kryterium oceny - umiejętności

Efekt kształceniaOcenaKryterium oceny
B-A_2A_ES/D/08_U01
Student should be able to solve numerically the equations occurring in structural reliability problems.		2,0
3,0Student shows a capability to solve numerically the equations occurring in problems of structural reliability and to interpret the results.
3,5
4,0
4,5
5,0

Kryterium oceny - inne kompetencje społeczne i personalne

Efekt kształceniaOcenaKryterium oceny
B-A_2A_ES/D/08_K01
Student shows the capability to make a plan for an undertaken research/computational project, to execute it and to observe deadlines.		2,0
3,0Student is able to devise the working plan (schedule) for an undertaken research/computational project.
3,5
4,0
4,5
5,0

Literatura podstawowa

  1. Robert E. Melchers, Structural Reliability Analysis and Prediction, John Wiley and Sons, 1999
  2. P. Thoft-Christensen and Y. Murotsu, Application of Structural Systems Reliability Theory, Springer, Berlin, 1986

Treści programowe - projekty

KODTreść programowaGodziny
T-P-1Example problems: determination of probability of failure and survival (reliability) of single structural elements and their combinations (in series, in parallel, etc.)3
T-P-2Example problems: determination of probability distribution function, cumulative distribution function and statistical moments of some discrete random variables.4
T-P-3Example problems: determination of probability density, cumulative distribution function and statistical moments of some continuous random variables.4
T-P-4Example problems: determination of approximate reliability index for non-linear safety margin functions with the aid of Cornell method.2
T-P-5Example problems: iterative determination of reliability index for non-linear safety margin functions with the aid of Hasofer-Lind method.2
15

Treści programowe - wykłady

KODTreść programowaGodziny
T-W-1Uncertainties in Structural Engineering. Events of failure and survival.2
T-W-2Probability theory (revision). Sample space and events. Axioms and theorems of probability theory. Probability of failure and survival (reliability) of single structural elements and their combinations.4
T-W-3Random variables: discrete and continuous probability distribution, cumulative distribution and density function, statistical moments. Transformation of random variables. Example probability distributions, e.g. Gaussian (normal), lognormal, extreme value distributions type I (Gumbel), type II (Frechet), type III (Weibull).8
T-W-4Safety margin and reliability index for linear failure (safety margin, or limit state) function and normal basic variables.4
T-W-5Non-linear safety margin (failure or limit state) function and normal basic variables. Linearization (Taylor series expansion) about the mean point (about the expected values) - Cornell method. Approximate reliability index .4
T-W-6Non-linear safety margin (failure or limit state) function and normal basic variables. Linearization (Taylor series expansion) about the design point – Hasofer-Lind method.4
T-W-7Poisson counting process and reliability vs. time: probability distribution of time to failure, expected life-time, expected failure (breakdown rate), expected time between breakdowns .4
30

Formy aktywności - projekty

KODForma aktywnościGodziny
A-P-1Attending the example classes.15
A-P-2Private (home) study.5
A-P-3Home assignments (two major assignments).5
A-P-4Studying/revision for the final test.5
30
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta

Formy aktywności - wykłady

KODForma aktywnościGodziny
A-W-1Attending the lectures.30
30
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta
PoleKODZnaczenie kodu
Zamierzone efekty kształceniaB-A_2A_ES/D/08_W01Student should be able to develop simple mathematical models for analysis of structural reliability.
Odniesienie do efektów kształcenia dla kierunku studiówB-A_2A_W01Has advanced and in-depth knowledge within the scope of mathematics and other areas of science useful for formulating and solving complex tasks within the scope of civil engineering
Cel przedmiotuC-1Capability to use the methods of probability theory, in particular the methods of random variables in problems of structural reliability.
C-2Capability to formulate and solve the reliability problem for linear failure (safety margin, or limit state) function and normal basic variables.
C-3Capability to formulate and solve the reliability problem for non-linear failure (safety margin, or limit state) function and normal basic variables.
Treści programoweT-W-1Uncertainties in Structural Engineering. Events of failure and survival.
T-W-2Probability theory (revision). Sample space and events. Axioms and theorems of probability theory. Probability of failure and survival (reliability) of single structural elements and their combinations.
T-W-3Random variables: discrete and continuous probability distribution, cumulative distribution and density function, statistical moments. Transformation of random variables. Example probability distributions, e.g. Gaussian (normal), lognormal, extreme value distributions type I (Gumbel), type II (Frechet), type III (Weibull).
T-W-4Safety margin and reliability index for linear failure (safety margin, or limit state) function and normal basic variables.
T-W-5Non-linear safety margin (failure or limit state) function and normal basic variables. Linearization (Taylor series expansion) about the mean point (about the expected values) - Cornell method. Approximate reliability index .
T-W-6Non-linear safety margin (failure or limit state) function and normal basic variables. Linearization (Taylor series expansion) about the design point – Hasofer-Lind method.
T-W-7Poisson counting process and reliability vs. time: probability distribution of time to failure, expected life-time, expected failure (breakdown rate), expected time between breakdowns .
T-P-2Example problems: determination of probability distribution function, cumulative distribution function and statistical moments of some discrete random variables.
T-P-3Example problems: determination of probability density, cumulative distribution function and statistical moments of some continuous random variables.
T-P-1Example problems: determination of probability of failure and survival (reliability) of single structural elements and their combinations (in series, in parallel, etc.)
T-P-4Example problems: determination of approximate reliability index for non-linear safety margin functions with the aid of Cornell method.
T-P-5Example problems: iterative determination of reliability index for non-linear safety margin functions with the aid of Hasofer-Lind method.
Metody nauczaniaM-1Lectures.
M-2Solving problems and home assignments.
Sposób ocenyS-1Ocena formująca: Final test mark.
S-2Ocena formująca: Assessment of home assignments.
Kryteria ocenyOcenaKryterium oceny
2,0
3,0Student has a good knowledge of mathematical tools necessary in analysis structural reliability.
3,5
4,0
4,5
5,0
PoleKODZnaczenie kodu
Zamierzone efekty kształceniaB-A_2A_ES/D/08_U01Student should be able to solve numerically the equations occurring in structural reliability problems.
Odniesienie do efektów kształcenia dla kierunku studiówB-A_2A_U01Is able to obtain information from literature, data bases and other properly selected sources, also in a foreign language; is able to integrate the obtained information, interpret it and evaluate it critically as well as draw conclusions, formulate and sufficiently justify opinions
Cel przedmiotuC-1Capability to use the methods of probability theory, in particular the methods of random variables in problems of structural reliability.
C-2Capability to formulate and solve the reliability problem for linear failure (safety margin, or limit state) function and normal basic variables.
C-3Capability to formulate and solve the reliability problem for non-linear failure (safety margin, or limit state) function and normal basic variables.
Treści programoweT-W-1Uncertainties in Structural Engineering. Events of failure and survival.
T-W-2Probability theory (revision). Sample space and events. Axioms and theorems of probability theory. Probability of failure and survival (reliability) of single structural elements and their combinations.
T-W-3Random variables: discrete and continuous probability distribution, cumulative distribution and density function, statistical moments. Transformation of random variables. Example probability distributions, e.g. Gaussian (normal), lognormal, extreme value distributions type I (Gumbel), type II (Frechet), type III (Weibull).
T-W-4Safety margin and reliability index for linear failure (safety margin, or limit state) function and normal basic variables.
T-W-5Non-linear safety margin (failure or limit state) function and normal basic variables. Linearization (Taylor series expansion) about the mean point (about the expected values) - Cornell method. Approximate reliability index .
T-W-6Non-linear safety margin (failure or limit state) function and normal basic variables. Linearization (Taylor series expansion) about the design point – Hasofer-Lind method.
T-W-7Poisson counting process and reliability vs. time: probability distribution of time to failure, expected life-time, expected failure (breakdown rate), expected time between breakdowns .
T-P-2Example problems: determination of probability distribution function, cumulative distribution function and statistical moments of some discrete random variables.
T-P-3Example problems: determination of probability density, cumulative distribution function and statistical moments of some continuous random variables.
T-P-1Example problems: determination of probability of failure and survival (reliability) of single structural elements and their combinations (in series, in parallel, etc.)
T-P-4Example problems: determination of approximate reliability index for non-linear safety margin functions with the aid of Cornell method.
T-P-5Example problems: iterative determination of reliability index for non-linear safety margin functions with the aid of Hasofer-Lind method.
Metody nauczaniaM-1Lectures.
M-2Solving problems and home assignments.
Sposób ocenyS-1Ocena formująca: Final test mark.
S-2Ocena formująca: Assessment of home assignments.
Kryteria ocenyOcenaKryterium oceny
2,0
3,0Student shows a capability to solve numerically the equations occurring in problems of structural reliability and to interpret the results.
3,5
4,0
4,5
5,0
PoleKODZnaczenie kodu
Zamierzone efekty kształceniaB-A_2A_ES/D/08_K01Student shows the capability to make a plan for an undertaken research/computational project, to execute it and to observe deadlines.
Odniesienie do efektów kształcenia dla kierunku studiówB-A_2A_K01Is able to professionally define, classify and apply the priorities used for accomplishment of an undertaken engineering task.
Cel przedmiotuC-1Capability to use the methods of probability theory, in particular the methods of random variables in problems of structural reliability.
C-2Capability to formulate and solve the reliability problem for linear failure (safety margin, or limit state) function and normal basic variables.
C-3Capability to formulate and solve the reliability problem for non-linear failure (safety margin, or limit state) function and normal basic variables.
Treści programoweT-W-1Uncertainties in Structural Engineering. Events of failure and survival.
T-W-2Probability theory (revision). Sample space and events. Axioms and theorems of probability theory. Probability of failure and survival (reliability) of single structural elements and their combinations.
T-W-3Random variables: discrete and continuous probability distribution, cumulative distribution and density function, statistical moments. Transformation of random variables. Example probability distributions, e.g. Gaussian (normal), lognormal, extreme value distributions type I (Gumbel), type II (Frechet), type III (Weibull).
T-W-4Safety margin and reliability index for linear failure (safety margin, or limit state) function and normal basic variables.
T-W-5Non-linear safety margin (failure or limit state) function and normal basic variables. Linearization (Taylor series expansion) about the mean point (about the expected values) - Cornell method. Approximate reliability index .
T-W-6Non-linear safety margin (failure or limit state) function and normal basic variables. Linearization (Taylor series expansion) about the design point – Hasofer-Lind method.
T-W-7Poisson counting process and reliability vs. time: probability distribution of time to failure, expected life-time, expected failure (breakdown rate), expected time between breakdowns .
T-P-2Example problems: determination of probability distribution function, cumulative distribution function and statistical moments of some discrete random variables.
T-P-3Example problems: determination of probability density, cumulative distribution function and statistical moments of some continuous random variables.
T-P-1Example problems: determination of probability of failure and survival (reliability) of single structural elements and their combinations (in series, in parallel, etc.)
T-P-4Example problems: determination of approximate reliability index for non-linear safety margin functions with the aid of Cornell method.
T-P-5Example problems: iterative determination of reliability index for non-linear safety margin functions with the aid of Hasofer-Lind method.
Metody nauczaniaM-1Lectures.
M-2Solving problems and home assignments.
Sposób ocenyS-1Ocena formująca: Final test mark.
S-2Ocena formująca: Assessment of home assignments.
Kryteria ocenyOcenaKryterium oceny
2,0
3,0Student is able to devise the working plan (schedule) for an undertaken research/computational project.
3,5
4,0
4,5
5,0