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Structural Reliability Theory and Its Applications

Author: Palle Thoft-Christensen; Michael J Baker
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1982.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Palle Thoft-Christensen; Michael J Baker
ISBN: 9783642686979 3642686974 9783642686993 3642686990
OCLC Number: 858929935
Description: 1 online resource
Contents: 1. The Treatment of Uncertainties in Structural Engineering --
1.1 Introduction --
1.2 Uncertainty --
1.3 Structural Reliability Analysis and Safety Checking --
2. Fundamentals of Probability Theory --
2.1 Introduction --
2.2 Sample Space --
2.3 Axioms and Theorems of Probability Theory --
2.4 Random Variables --
2.5 Moments --
2.6 Univariate Distributions --
2.7 Random Vectors --
2.8 Conditional Distributions --
2.9 Functions of Random Variables --
3. Probabilistic Models for Loads and Resistance Variables --
3.1 Introduction --
3.2 Statistical Theory Of Extremes --
3.3 Asymptotic Extreme-Value Distributions --
3.4 Modelling of Resistance Variables --
Model Selection --
3.5 Modelling of Load Variables --
Model Selection --
3.6 Estimation of Distribution Parameters --
3.7 Inclusion of Statistical Uncertainty --
4. Fundamentals of Structural Reliability Theory --
4.1 Introduction --
4.2 Elements of Classical Reliability Theory --
4.3 Structural Reliability Analysis --
5. Level 2 Methods --
5.1 Introduction --
5.2 Basic Variables and Failure Surfaces --
5.3 Reliability Index for Linear Failure Functions and Normal Basic Variables --
5.4 Hasofer and Lind's Reliability Index --
6. Extended Level 2 Methods --
6.1 Introduction --
6.2 Concept of Correlation --
6.3 Correlated Basic Variables --
6.4 Non-Normal Basic Variables --
7. Reliability of Structural Systems --
7.1 Introduction --
7.2 Perfectly Brittle and Perfectly Ductile Elements --
7.3 Fundamental Systems --
7.4 Systems with Equally Correlated Elements --
8. Reliability Bounds for Structural Systems --
8.1 Introduction --
8.2 Simple Bounds --
8.3 Ditlevsen Bounds --
8.4 Parallel Systems with Unequally Correlated Elements --
8.5 Series Systems with Unequally Correlated Elements --
9. Introduction to Stochastic Process Theory and its Uses --
9.1 Introduction --
9.2 Stochastic Processes --
9.3 Gaussian Processes --
9.4 Barrier Crossing Problem --
9.5 Peak Distribution --
10. Load Combinations --
10.1 Introduction --
10.2 The Load Combination Problem --
10.3 The Ferry Borges-Castanheta Load Model --
10.4 Combination Rules --
11. Applications to Structural Codes --
11.1 Introduction --
11.2 Structural Safety and Level 1 Codes --
11.3 Recommended Safety Formats for Level 1 Codes --
11.4 Methods for the Evaluation of Partial Coefficients --
11.5 An Example of Probabilistic Code Calibration --
12. Applications to Fixed Offshore Structures --
12.1 Introduction --
12.2 Modelling the Response of Jacket Structures for ReliaBility Analysis --
12.3 Probability Distributions for Important Loading Variables --
12.4 Methods of Reliability Analysis --
12.5 Some Results from the Study of a Jacket Structure --
13. Reliability Theory and Quality Assurance --
13.1 Introduction --
13.2 Gross Errors --
13.3 Interaction of Reliability and Quality Assurance --
13.4 Quality Assurance --
Appendix A. Random Number Generators --
1. General --
2. Uniform Random Number Generators --
3. Multiplicative Congruence Method --
5. Special Cases: Generation of Random Deviates Having Normal and Log-Normal Distributions --
Appendix B. Spectral Analysis of Wave Forces --
1. Introduction --
2. General Equations of Motion --
3. Modal Analysis --
4. Solution Strategy --
5. Multiple Piles --
6. Computational Procedure.
Responsibility: by Palle Thoft-Christensen, Michael J. Baker.

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