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. Uncertainties are associated with the design, evaluation, and dynamic analysis of engineered structures. Structural Reliability in Civil Engineering introduces a developmental overview and basic concepts of reliability theory, uncertainty analysis methods, reliability calculation methods, numerical simulation methods of reliability, system reliability analysis methods, time-varying structural reliability, load and load combination methods, the application of reliability in specifications, and the application of reliability theory in practical engineering. This book not only discusses reliability theory in civil structural engineering but also presents valuable examples to illustrate the application of reliability theory to practical questions and comprehensively elaborates on some theories related to reliability from a brand-new perspective.

Table of Contents:
List of Figures xiii List of Tables xix Preface xxiii Acknowledgments xxv Notations xxvii 1 Introduction 1 1.1 An Overview of the Development of Structural Reliability Theory 3 1.1.1 Method of the Degree of Reliability Calculated 3 1.1.2 Reliability Method of Structural Systems 10 1.1.3 Load and Load Combination Method 10 1.1.4 Engineering Applications 15 1.2 Basic Concepts 16 1.2.1 Reliability and Degree of Reliability 16 1.2.2 Uncertainty 17 1.2.3 Random Variables, Random Functions and Random Processes 18 1.2.4 Functional Function and Limit State Equation 18 1.2.5 Reliability Index and Failure Probability 19 1.2.6 Member Reliability and System Reliability 20 1.2.7 Time-Dependent Reliability and Time-Independent Reliability 20 1.3 Contents of this Book 21 References 21 2 Method of Uncertainty Analysis 33 2.1 Classification of Uncertainty 34 2.1.1 Classification on Uncertainty Type 34 2.1.2 Classification on Uncertainty Characteristics 35 2.1.3 Classification on Form of Manifestation 35 2.1.4 Classification on Uncertainty Attributes 36 2.2 Probability Analysis Methods 36 2.2.1 Classical Probability Analysis Method 36 2.2.2 Bayes Probability Method 37 2.3 Fuzzy Mathematical Analysis Method 37 2.3.1 Definition 37 2.3.2 Mode of Expression 39 2.4 Gray Theory Analysis Method 40 2.4.1 Basic Concept 40 2.4.2 Case Study 41 2.5 Relative Information Entropy Analysis Method 43 2.6 Artificial Intelligence Analysis Method 45 2.6.1 Neural Networks 45 2.6.2 Support Vector Machine 47 2.7 Example: Risk Evaluation of Construction with Temporary Structure Formwork Support 53 2.7.1 Basic Information of the Formwork Support Structure 53 2.7.2 Establishment of Construction Risk Evaluation System 54 2.7.3 Index Weighting 57 2.7.4 Expert Scoring Results and Risk Evaluation Grades 59 2.7.5 Evaluation of a Fastener-Type Steel Pipe Scaffold 61 2.7.6 Discussion and Summary Analysis 65 References 65 3 Reliability Analysis Method 67 3.1 First-Order Second-Moment Method 71 3.1.1 Central Point Method 71 3.1.2 Checking Point Method 74 3.1.3 Evaluation 78 3.2 Second-Order Second-Moment Method 79 3.2.1 Breitung Method 79 3.2.2 Laplace Asymptotic Method 82 3.2.3 Maximum Entropy Method 85 3.2.4 Optimal Quadratic Approximation Method 90 3.3 Reliability Analysis of Random Variables Disobeying Normal Distribution 92 3.3.1 R-F Method 93 3.3.2 Rosenblatt Transformation 94 3.3.3 P-H Method 97 3.4 Responding Surface Method 99 3.4.1 Response Surface Methodology for Least Squares Support Vector Machines (LS-SVM) 101 3.4.2 Examples 105 References 113 4 Numerical Simulation for Reliability 115 4.1 Monte-Carlo Method 116 4.1.1 Generation of Random Numbers 118 4.1.2 Test of Random Number Sequences 120 4.1.3 Generation of Non-Uniform Random Numbers 120 4.2 Variance Reduction Techniques 121 4.2.1 Dual Sampling Technique 122 4.2.2 Conditional Expectation Sampling Technique 123 4.2.3 Importance Sampling Technique 123 4.2.4 Stratified Sampling Method 126 4.2.5 Control Variates Method 127 4.2.6 Correlated Sampling Method 128 4.3 Composite Important Sampling Method 129 4.3.1 Basic Method 129 4.3.2 Composite Important Sampling 132 4.3.3 Calculation Steps 135 4.4 Importance Sampling Method in V Space 136 4.4.1 V Space 136 4.4.2 Importance Sampling Area 138 4.4.3 Importance Sampling Function 141 4.4.4 Simulation Procedure 143 4.4.5 Evaluation 143 4.5 SVM Importance Sampling Method 144 References 145 5 Reliability of Structural Systems 147 5.1 Failure Mode of Structural System 148 5.1.1 Structural System Model 148 5.1.2 Solution 152 5.1.3 Idealization of Structural System Failure 155 5.1.4 Practical Analysis of Structural System Failure 160 5.2 Calculation Methods for System Reliability 161 5.2.1 System Reliability Boundary 161 5.2.2 Implicit Limit State—Response Surface 169 5.2.3 Complex Structural System 173 5.2.4 Physically-Based Synthesis Method 180 5.3 Example: Reliability of Offshore Fixed Platforms 181 5.3.1 Overview 181 5.3.2 Calculation Model and Single Pile Bearing Capacity 182 5.3.3 Probability Analysis for the Bearing Capacity of a Single Pile 187 5.3.4 Bearing Capacity and Reliability of Offshore Platform Structural Systems 191 5.4 Analysis on the Reliability of a Semi-Submersible Platform System 197 5.4.1 Overview 197 5.4.2 Uncertainty Analysis 199 5.4.3 Evaluation of System Reliability 200 5.4.3.1 Analytical Process and Evaluation 200 5.4.3.2 Reliability Calculation of Main Components 202 5.4.3.3 Reliability Calculation for Local Nodes 204 5.4.3.4 Calculation of Overall Platform Reliability 206 References 207 6 Time-Dependent Structural Reliability 211 6.1 Time Integral Method 214 6.1.1 Basic Concept 214 6.1.2 Time-Dependent Reliability Transformation Method 217 6.2 Discrete Method 218 6.2.1 Known Number of Discrete Events 219 6.2.2 Unknown Number of Discrete Events 221 6.2.3 Return Period 222 6.2.4 Risk Function 223 6.3 Calculation of Time-Dependent Reliability 225 6.3.1 Introduction 225 6.3.2 Sampling Methods for Unconditional Failure Probability 227 6.3.3 First-Order Second-Moment Method 229 6.4 Structural Dynamic Analysis 230 6.4.1 Randomness of Structural Dynamics 230 6.4.2 Some Problems Involving Stationary Random Processes 231 6.4.3 Random Response Spectrum 233 6.5 Fatigue Analysis 234 6.5.1 General Formulas 234 6.5.2 S-N Model 235 6.5.3 Fracture Mechanics Model 237 6.5.4 Example: Fatigue Reliability of an Offshore Jacket Platform 238 6.5.5 Example: Fatigue Reliability of a Submarine Pipeline and Analysis of its Parameters 249 6.5.5.1 Introduction 249 6.5.5.2 Analytical Process 249 6.5.5.3 Finite Element Model 250 6.5.5.4 Random Lift Model 250 6.5.5.5 Structural Modal Analysis 253 6.5.5.6 Random Vibration Response of Suspended Pipelines 254 6.5.5.7 Random Fatigue Life and Fatigue Reliability Analysis of a Suspended Pipeline 257 6.5.5.8 Sensitivity Analysis of Random Vibration Influencing Factors of a Suspended Pipeline 260 6.5.6 Example: Fatigue Reliability of Deep-Water Semi-Submersible Platform Structures 267 6.5.6.1 Analytical Process for Fatigue Reliability 267 6.5.6.2 Fatigue Reliability Analysis of Key Platform Joints 267 6.5.6.3 Sensitivity Analysis of Fatigue Parameters 276 References 281 7 Load Combination on Reliability Theory 285 7.1 Load Combination 286 7.1.1 General Form 286 7.1.2 Discrete Random Process 289 7.1.3 Simplified Method 292 7.2 Load Combination Factor 296 7.2.1 Peak Superposition Method 297 7.2.2 Crossing Analysis Method 298 7.2.3 Combination Theory with Poisson Process as a Simplified Model 300 7.2.4 Square Root of the Sum of the Squares (SRSS) 302 7.2.5 Use of a Combination of Local Extrema to Form a Maximum Value 302 7.3 Calculation of Partial Coefficient of Structural Design 308 7.3.1 Expression of Design Partial Coefficient 309 7.3.2 Determination of Partial Coefficient in Structural Design 310 7.3.3 Determination of Load/Resistance Partial Coefficient 311 7.4 Determination of Load Combination Coefficient and Design Expression 314 7.4.1 Design Expression Using Combined Value Coefficients 315 7.4.2 No Reduction Factor in the Design Expression 317 7.4.3 Method for Determining Load Combination Coefficient in Ocean Engineering 320 7.5 Example: Path Probability Model for the Durability of a Concrete Structure 323 7.5.1 Basic Concept 323 7.5.2 Multipath Probability Model 325 7.5.3 Probability Prediction Model Featuring Chloride Erosion 327 7.5.4 Probability Prediction Model for Concrete Carbonation 328 7.5.5 Probability Prediction Model under the Combined Action of Carbonation and Chloride Ions 331 7.5.6 Corrosion Propagation in a Steel Bar 332 7.5.7 Cracking of the Protective Layer and Determination of Crack Width 334 7.5.8 Bearing Capacity of Corroded Concrete Components 335 7.5.9 Engineering Example 337 7.5.9.1 Corrosion of Steel Bars in a Chloride Environment 337 7.5.9.2 Corrosion of Steel Bar Under the Combined Action of Carbonation and Chloride Corrosion 342 References 348 8 Application of Reliability Theory in Specifications 353 8.1 Requirements of Structural Design Codes 356 8.1.1 Requirements of Structural Design 356 8.1.2 Classification of Actions 357 8.1.3 Target Reliability 358 8.1.4 Limit State of Structural Design 361 8.2 Expression of Structural Reliability in Design Specifications 363 8.2.1 Design Expression of Partial Coefficients 363 8.2.2 Design Expression of Ultimate Limit State 365 8.2.3 Design Expression of Serviceability Limit State 367 8.2.4 Design Expression of Durability Limit State 368 8.3 Example: Target Reliability and Calibration of Bridges 371 8.3.1 Basic Issues 371 8.3.2 Parameter Analysis 372 8.3.3 Calibration Target Reliability 374 8.3.4 Operating Conditions and Parameters 375 8.3.5 Load Effect Ratio 375 8.3.6 Reliability Calibration Process 378 8.3.7 Results of Reliability Calibration Calculation 379 8.4 Reliability Analysis of Human Influence 381 8.4.1 Parameters of Human Influence 381 8.4.2 Influence of Human Error on Construction 383 8.4.3 Human Error Rate, and Degree and Distribution of Human Error Influence 384 8.4.4 Simulation of Human Error in Construction 387 8.4.5 Example: Support System for a Ten-Storey Beamless Floor Structure 394 8.4.6 Discussion 398 References 398 Index 403