Structural Reliability Theory and Its Applications
Structural reliability theory is concerned with the rational treatment of uncertainties in struc tural engineering and with the methods for assessing the safety and serviceability of civil en gineering and other structures. It is a subject which has grown rapidly during the last decade and has evo...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1982, 1982
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| Edition: | 1st ed. 1982 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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
- 9.2Stochastic Processes
- 9.3 Gaussian Processes
- 9.4 Barrier Crossing Problem
- 9.5 Peak Distribution
- 10. Load Combinations
- 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
- 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
- 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