A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
2.3.1 Modeling based on available information2.3.2 Construction of a stochastic model; 2.3.3 Random variable or stochastic process; 2.4 Mechanical modeling; 2.4.1 Representation model of physics; 2.4.2 Balance between resources and needs; 2.5 Mechanical-reliability coupling; 2.5.1 Reliability sensitivity analysis; 2.5.2 Reliability analysis; 2.5.3 Complexity of mechanical-reliability coupling; 2.5.4 Actors in mechanical-reliability coupling; 2.6 Fields of application; 2.6.1 Reliability of offshore marine structures; 2.6.2 Soil mechanics; 2.6.3 Regulation; 2.6.4 Stochastic dynamics.
2.6.5 Integrity of structures2.6.6 Stability; 2.7 Conclusion; Chapter 3. Elementary R -- S Case; 3.1 Presentation of the problem; 3.1.1 Variables; 3.1.2 Design model; 3.1.3 Illustration; 3.2 Definitions and assumptions; 3.3 Random vector: a reminder; 3.3.1 Random vector; 3.3.2 Joint probability density; 3.3.3 Moments and correlation; 3.3.4 Independence and correlation; 3.4 Expressions of the probability of failure; 3.4.1 Probability of failure; 3.4.2 Distributions of R and S and probability Pf; 3.4.3 First expression of Pf; 3.4.4 Second expression of Pf; 3.4.5 Illustration.
3.4.6 Generalization of the probability of failure3.5 Calculation of the probability of failure; 3.5.1 Calculation of Pf by direct integration; 3.5.2 Calculation of Pf by numerical integration; 3.5.3 Calculation of Pf by simulation; 3.5.4 Calculation of Pf by sampling and integration; 3.6 Rod under tension; 3.6.1 Data; 3.6.2 Probability of failure; 3.6.3 Analytical integration; 3.6.4 Simulation; 3.7 Concept of reliability index; 3.7.1 Rjanitzyne-Cornell index; 3.7.2 Hasofer-Lind index; 3.7.3 Naming point P*; 3.7.4 Application to the elementary Gaussian case.
This book describes the main methods used in the reliability of structures and their use in the design process leading to reliable products. This title provides the understanding needed to implement the variety of new reliability software programs
Structural Reliability; Contents; Foreword; Preface; Chapter 1. Introduction; 1.1 An old history; 1.2 A modern attitude; 1.3 Reliability: a definition; 1.4 Which risk is acceptable?; 1.5 Today; 1.6 A little glossary; 1.7 The structure of this book; Chapter 2. Preliminary Approach to Reliability in Mechanics; 2.1 General points; 2.1.1 Reliability methods in mechanics; 2.1.2 A new attitude: overcoming obstacles; 2.2 Theoretical reliability in mechanics; 2.2.1 Reliability approach in mechanics; 2.2.2 Variables-component-system chain; 2.2.3 Theoretical reliability; 2.3 Stochastic modeling.
3.7.5 Rod under tension: Hasofer and Lind index3.8 Equation Pf = Φ( -β); 3.9 Exercises for illustration; 3.9.1 Study of a frame; 3.9.2 Resistance-stress problem; Chapter 4. Isoprobabilistic Transformation; 4.1 Recapitulation of the problem and the notation; 4.2 Case of independent variables; 4.2.1 Gaussian variables; 4.2.2 Independent variables; 4.3 Rosenblatt transformation; 4.3.1 Recapitulation; 4.3.2 Formulation; 4.3.3 Calculation of Pf; 4.3.4 Example: double exponential; 4.3.5 A warning about notation!; 4.3.6 Gaussian variable couple; 4.4 Approximation using a normal distribution.
2.3.1 Modeling based on available information2.3.2 Construction of a stochastic model; 2.3.3 Random variable or stochastic process; 2.4 Mechanical modeling; 2.4.1 Representation model of physics; 2.4.2 Balance between resources and needs; 2.5 Mechanical-reliability coupling; 2.5.1 Reliability sensitivity analysis; 2.5.2 Reliability analysis; 2.5.3 Complexity of mechanical-reliability coupling; 2.5.4 Actors in mechanical-reliability coupling; 2.6 Fields of application; 2.6.1 Reliability of offshore marine structures; 2.6.2 Soil mechanics; 2.6.3 Regulation; 2.6.4 Stochastic dynamics.
2.6.5 Integrity of structures2.6.6 Stability; 2.7 Conclusion; Chapter 3. Elementary R -- S Case; 3.1 Presentation of the problem; 3.1.1 Variables; 3.1.2 Design model; 3.1.3 Illustration; 3.2 Definitions and assumptions; 3.3 Random vector: a reminder; 3.3.1 Random vector; 3.3.2 Joint probability density; 3.3.3 Moments and correlation; 3.3.4 Independence and correlation; 3.4 Expressions of the probability of failure; 3.4.1 Probability of failure; 3.4.2 Distributions of R and S and probability Pf; 3.4.3 First expression of Pf; 3.4.4 Second expression of Pf; 3.4.5 Illustration.
3.4.6 Generalization of the probability of failure3.5 Calculation of the probability of failure; 3.5.1 Calculation of Pf by direct integration; 3.5.2 Calculation of Pf by numerical integration; 3.5.3 Calculation of Pf by simulation; 3.5.4 Calculation of Pf by sampling and integration; 3.6 Rod under tension; 3.6.1 Data; 3.6.2 Probability of failure; 3.6.3 Analytical integration; 3.6.4 Simulation; 3.7 Concept of reliability index; 3.7.1 Rjanitzyne-Cornell index; 3.7.2 Hasofer-Lind index; 3.7.3 Naming point P*; 3.7.4 Application to the elementary Gaussian case.
This book describes the main methods used in the reliability of structures and their use in the design process leading to reliable products. This title provides the understanding needed to implement the variety of new reliability software programs
Structural Reliability; Contents; Foreword; Preface; Chapter 1. Introduction; 1.1 An old history; 1.2 A modern attitude; 1.3 Reliability: a definition; 1.4 Which risk is acceptable?; 1.5 Today; 1.6 A little glossary; 1.7 The structure of this book; Chapter 2. Preliminary Approach to Reliability in Mechanics; 2.1 General points; 2.1.1 Reliability methods in mechanics; 2.1.2 A new attitude: overcoming obstacles; 2.2 Theoretical reliability in mechanics; 2.2.1 Reliability approach in mechanics; 2.2.2 Variables-component-system chain; 2.2.3 Theoretical reliability; 2.3 Stochastic modeling.
3.7.5 Rod under tension: Hasofer and Lind index3.8 Equation Pf = Φ( -β); 3.9 Exercises for illustration; 3.9.1 Study of a frame; 3.9.2 Resistance-stress problem; Chapter 4. Isoprobabilistic Transformation; 4.1 Recapitulation of the problem and the notation; 4.2 Case of independent variables; 4.2.1 Gaussian variables; 4.2.2 Independent variables; 4.3 Rosenblatt transformation; 4.3.1 Recapitulation; 4.3.2 Formulation; 4.3.3 Calculation of Pf; 4.3.4 Example: double exponential; 4.3.5 A warning about notation!; 4.3.6 Gaussian variable couple; 4.4 Approximation using a normal distribution.
Structural reliability
Fiabilité des structures
Lemaire, Maurice (author)
ISTE ; v. 84
2009
1 Online-Ressource (xx, 488 pages)
illustrations
"First published in France in 2005 by Hermes Science/Lavoisier entitled Fiabilité des structures: couplage mécano-fiabiliste statique"--Title page verso
Includes bibliographical references (pages 465-479) and index
Book
Electronic Resource
English
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