Structural Reliability in Civil Engineering gives essential insights into the complexities of uncertainty in engineered structures, along with practical examples and advanced methods, making it an invaluable resource for both theory and real-world application in your civil engineering projects.
Table of ContentsList of Figures
List of Tables
Preface
Acknowledgments
Notations
1. Introduction 1.1 An Overview of the Development of Structural Reliability Theory
1.1.1 Method of the Degree of Reliability Calculated
1.1.2 Reliability Method of Structural Systems
1.1.3 Load and Load Combination Method
1.1.4 Engineering Applications
1.2 Basic Concepts
1.2.1 Reliability and Degree of Reliability
1.2.2 Uncertainty
1.2.3 Random Variables, Random Functions and Random Processes
1.2.4 Functional Function and Limit State Equation
1.2.5 Reliability Index and Failure Probability
1.2.6 Member Reliability and System Reliability
1.2.7 Time-Dependent Reliability and Time-Independent Reliability
1.3 Contents of this Book
References
2. Method of Uncertainty Analysis2.1 Classification of Uncertainty
2.1.1 Classification on Uncertainty Type
2.1.2 Classification on Uncertainty Characteristics
2.1.3 Classification on Form of Manifestation
2.1.4 Classification on Uncertainty Attributes
2.2 Probability Analysis Methods
2.2.1 Classical Probability Analysis Method
2.2.2 Bayes Probability Method
2.3 Fuzzy Mathematical Analysis Method
2.3.1 Definition
2.3.2 Mode of Expression
2.4 Gray Theory Analysis Method
2.4.1 Basic Concept
2.4.2 Case Study
2.5 Relative Information Entropy Analysis Method
2.6 Artificial Intelligence Analysis Method
2.6.1 Neural Networks
2.6.2 Support Vector Machine
2.7 Example: Risk Evaluation of Construction with Temporary Structure Formwork Support
2.7.1 Basic Information of the Formwork Support Structure
2.7.2 Establishment of Construction Risk Evaluation System
2.7.4 Index Weighting
2.7.5 Expert Scoring Results and Risk Evaluation Grades
2.7.6 Evaluation of a Fastener-Type Steel Pipe Scaffold
2.7.7 Discussion and Summary Analysis
References
3. Reliability Analysis Method3.1 First-Order Second-Moment Method
3.1.1 Central Point Method
3.1.2 Checking Point Method
3.1.3 Evaluation
3.2 Second-Order Second-Moment Method
3.2.1 Breitung Method
3.2.2 Laplace Asymptotic Method
3.2.3 Maximum Entropy Method
3.2.4 Optimal Quadratic Approximation Method
3.3 Reliability Analysis of Random Variables Disobeying Normal Distribution
3.3.1 R-F Method
3.3.2 Rosenblatt Transformation
3.3.3 P-H Method
3.4 Responding Surface Method
3.4.1 Response Surface Methodology for Least Squares Support Vector Machines (LS-SVM)
3.4.2 Examples
References
4. Numerical Simulation for Reliability4.1 Monte-Carlo Method
4.1.1 Generation of Random Numbers
4.1.2 Test of Random Number Sequences
4.1.3 Generation of Non-Uniform Random Numbers
4.2 Variance Reduction Techniques
4.2.1 Dual Sampling Technique
4.2.2 Conditional Expectation Sampling Technique
4.2.3 Importance Sampling Technique
4.2.4 Stratified Sampling Method
4.2.5 Control Variates Method
4.2.6 Correlated Sampling Method
4.3 Composite Important Sampling Method
4.3.1 Basic Method
4.3.2 Composite Important Sampling
4.3.3 Calculation Steps
4.4 Importance Sampling Method in V Space
4.4.1 V Space
4.4.2 Importance Sampling Area
4.4.3 Importance Sampling Function
4.4.4 Simulation Procedure
4.4.5 Evaluation
4.5 SVM Importance Sampling Method
References
5. Reliability of Structural Systems5.1 Failure Mode of Structural System
5.1.1 Structural System Model
5.1.2 Solution
5.1.3 Idealization of Structural System Failure
5.1.4 Practical Analysis of Structural System Failure
5.2 Calculation Methods for System Reliability
5.2.1 System Reliability Boundary
5.2.2 Implicit Limit State—Response Surface
5.2.3 Complex Structural System
5.2.4 Physically-Based Synthesis Method
5.3 Example: Reliability of Offshore Fixed Platforms
5.3.1 Overview
5.3.2 Calculation Model and Single Pile Bearing Capacity
5.3.3 Probability Analysis for the Bearing Capacity of a Single Pile
5.3.4 Bearing Capacity and Reliability of Offshore Platform Structural Systems
5.4 Analysis on the Reliability of a Semi-Submersible Platform System
5.4.1 Overview
5.4.2 Uncertainty Analysis
5.4.3 Evaluation of System Reliability
5.4.3.1 Analytical Process and Evaluation
5.4.3.2 Reliability Calculation of Main Components
5.4.3.3 Reliability Calculation for Local Nodes
5.4.3.4 Calculation of Overall Platform Reliability
References
6. Time-Dependent Structural Reliability6.1 Time Integral Method
6.1.1 Basic Concept
6.1.2 Time-Dependent Reliability Transformation Method
6.2 Discrete Method
6.2.1 Known Number of Discrete Events
6.2.2 Unknown Number of Discrete Events
6.2.3 Return Period
6.2.4 Risk Function
6.3 Calculation of Time-Dependent Reliability
6.3.1 Introduction
6.3.2 Sampling Methods for Unconditional Failure Probability
6.3.3 First-Order Second-Moment Method
6.4 Structural Dynamic Analysis
6.4.1 Randomness of Structural Dynamics
6.4.2 Some Problems Involving Stationary Random Processes
6.4.3 Random Response Spectrum
6.5 Fatigue Analysis
6.5.1 General Formulas
6.5.2 S-N Model
6.5.3 Fracture Mechanics Model
6.5.4 Example: Fatigue Reliability of an Offshore Jacket Platform
6.5.5 Example: Fatigue Reliability of a Submarine Pipeline and Analysis of its Parameters
6.5.5.1 Introduction
6.5.5.2 Analytical Process
6.5.5.3 Finite Element Model
6.5.5.4 Random Lift Model
6.5.5.5 Structural Modal Analysis
6.5.5.6 Random Vibration Response of Suspended Pipelines
6.5.5.7 Random Fatigue Life and Fatigue Reliability Analysis of a Suspended Pipeline
6.5.5.8 Sensitivity Analysis of Random Vibration Influencing Factors of a Suspended Pipeline
6.5.6 Example: Fatigue Reliability of Deep-Water Semi-Submersible Platform Structures
6.5.6.1 Analytical Process for Fatigue Reliability
6.5.6.2 Fatigue Reliability Analysis of Key Platform Joints
6.5.6.3 Sensitivity Analysis of Fatigue Parameters
References
7. Load Combination on Reliability Theory7.1 Load Combination
7.1.1 General Form
7.1.2 Discrete Random Process
7.1.3 Simplified Method
7.2 Load Combination Factor
7.2.1 Peak Superposition Method
7.2.2 Crossing Analysis Method
7.2.3 Combination Theory with Poisson Process as a Simplified Model
7.2.4 Square Root of the Sum of the Squares (SRSS)
7.2.5 Use of a Combination of Local Extrema to Form a Maximum Value
7.3 Calculation of Partial Coefficient of Structural Design
7.3.1 Expression of Design Partial Coefficient
7.3.2 Determination of Partial Coefficient in Structural Design
7.3.3 Determination of Load/Resistance Partial Coefficient
7.4 Determination of Load Combination Coefficient and Design Expression
7.4.1 Design Expression Using Combined Value Coefficients
7.4.2 No Reduction Factor in the Design Expression
7.4.3 Method for Determining Load Combination Coefficient in Ocean Engineering
7.5 Example: Path Probability Model for the Durability of a Concrete Structure
7.5.1 Basic Concept
7.5.2 Multipath Probability Model
7.5.3 Probability Prediction Model Featuring Chloride Erosion
7.5.4 Probability Prediction Model for Concrete Carbonation
7.5.5 Probability Prediction Model under the Combined Action of Carbonation and Chloride Ions
7.5.6 Corrosion Propagation in a Steel Bar
7.5.7 Cracking of the Protective Layer and Determination of Crack Width
7.5.8 Bearing Capacity of Corroded Concrete Components
7.5.9 Engineering Example
7.5.9.1 Corrosion of Steel Bars in a Chloride Environment
7.5.9.2 Corrosion of Steel Bar Under the Combined Action of Carbonation and Chloride Corrosion
References
8. Application of Reliability Theory in Specifications8.1 Requirements of Structural Design Codes
8.1.1 Requirements of Structural Design
8.1.2 Classification of Actions
8.1.3 Target Reliability
8.1.4 Limit State of Structural Design
8.2 Expression of Structural Reliability in Design Specifications
8.2.1 Design Expression of Partial Coefficients
8.2.2 Design Expression of Ultimate Limit State
8.2.3 Design Expression of Serviceability Limit State
8.2.4 Design Expression of Durability Limit State
8.3 Example: Target Reliability and Calibration of Bridges
8.3.1 Basic Issues
8.3.2 Parameter Analysis
8.3.3 Calibration Target Reliability
8.3.4 Operating Conditions and Parameters
8.3.5 Load Effect Ratio
8.3.6 Reliability Calibration Process
8.3.7 Results of Reliability Calibration Calculation
8.4 Reliability Analysis of Human Influence
8.4.1 Parameters of Human Influence
8.4.2 Influence of Human Error on Construction
8.4.3 Human Error Rate, and Degree and Distribution of Human Error Influence
8.4.4 Simulation of Human Error in Construction
8.4.5 Example: Support System for a Ten-Storey Beamless Floor Structure
8.4.6 Discussion
References
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