Authors |
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ix | |
Preface |
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xiii | |
Introduction |
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xvii | |
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1 | (6) |
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Chapter 2 Historical Notes |
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7 | (12) |
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2.1 History of Safety Factors |
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7 | (9) |
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2.2 Development of the Theory of Structural Reliability |
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16 | (2) |
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2.3 The Connection between Ancient Sparta and the Failure Rate |
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18 | (1) |
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Chapter 3 Safety Factor and Reliability Index |
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19 | (20) |
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3.1 Features of Failure and Principles of Design |
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20 | (2) |
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22 | (2) |
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3.3 Reliability Index and Partial Factors Method |
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24 | (4) |
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28 | (2) |
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3.5 Concept of Equal Reliability |
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30 | (1) |
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3.5a Calibration of Model Partial Factor |
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30 | (3) |
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3.5b Reliability of Transmission Lines |
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33 | (3) |
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3.6 Development of Reliability-Based Design Approach |
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36 | (3) |
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Chapter 4 Evaluation of Failure Probability |
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39 | (34) |
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39 | (3) |
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42 | (7) |
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49 | (1) |
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4.3a Monte-Carlo Technique |
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49 | (2) |
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4.3b Monte-Carlo Method for Stratified Modeling Samples |
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51 | (2) |
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53 | (5) |
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4.5 Direct Integration of Distribution Function |
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58 | (5) |
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4.6 Influence of Failure Boundary Curvature on Reliability |
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63 | (3) |
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4.7 Implementation of Reliability Theory in Structural Design |
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66 | (7) |
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Chapter 5 Alternative Definitions of the Fuzzy Safety Factor |
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73 | (16) |
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5.1 Introductory Comments |
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73 | (1) |
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5.2 Safety Factor in the Probabilistic Framework |
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74 | (2) |
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5.3 Safety Factor in the Fuzzy Theory Framework |
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76 | (2) |
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5.4 Fundamental Problem in the Strength of Materials |
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78 | (5) |
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83 | (1) |
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84 | (1) |
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5.7 Bending Failure of the Beam |
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85 | (1) |
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5.8 Stability Analysis of the Column |
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86 | (1) |
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5.9 Fuzzy Sets-Based Approach |
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86 | (3) |
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Chapter 6 Convex Models of Uncertainty |
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89 | (30) |
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6.1 Introductory Comments |
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89 | (2) |
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6.2 Sensitivity of Failure Probability |
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91 | (7) |
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6.3 Remarks on Convex Modeling of Uncertainty |
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98 | (7) |
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6.4 "Worst-Case" Probabilistic Safety Factor |
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105 | (7) |
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6.5 Which Concept Is More Feasible: Non-Probabilistic Reliability or Convex Safety Factor? |
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112 | (4) |
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6.6 Concluding Comments on How to Treat Uncertainty in a Given Situation |
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116 | (3) |
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Chapter 7 Systems and Components |
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119 | (20) |
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7.1 Conditionality of Concept |
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119 | (1) |
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7.2 Connection of Components in Series |
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120 | (3) |
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7.3 Parallel Connection of Brittle Components |
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123 | (2) |
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7.4 Dynamic Effects in Brittle Systems |
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125 | (4) |
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7.5 Parallel Connection of Plastic Components |
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129 | (1) |
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7.6 Failure Probability of Multi-Element Systems |
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130 | (1) |
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7.7 Probabilistic Limit Equilibrium Method |
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131 | (8) |
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Chapter 8 Loads and Their Combinations |
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139 | (26) |
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139 | (2) |
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8.2 Statistical Models of Variable Actions |
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141 | (4) |
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8.3 Climatic Actions on Structures |
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145 | (3) |
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8.4 Consideration of Random Wind Speed Directions |
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148 | (3) |
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8.5 Loads on Building Floors |
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151 | (5) |
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8.6 Combination of Loads as Random Values |
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156 | (2) |
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8.7 Combination of Extreme Values of Loads |
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158 | (2) |
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8.8 Combination of Loads in the Form of Markov Process |
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160 | (5) |
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Chapter 9 Properties of Materials and Structural Deterioration |
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165 | (14) |
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165 | (1) |
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9.2 Bayesian Treatment in Analysis of Mechanical Properties |
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166 | (3) |
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9.3 Smoothing of Experimental Data |
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169 | (4) |
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9.4 Reliability of Corroding Structures |
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173 | (6) |
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Chapter 10 Risk Evaluation and Optimal Probabilistic Design |
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179 | (28) |
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179 | (4) |
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10.2 Optimization of Reliability Index |
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183 | (4) |
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10.3 Optimization of Protected Structures |
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187 | (4) |
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10.4 Optimization of Multiplex Systems |
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191 | (4) |
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10.5 Optimal Allocation of Protective Resources of Structures |
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195 | (9) |
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10.6 Mathematical Model of Public Opinion |
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204 | (3) |
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Chapter 11 Natural Disasters and Structural Survivability |
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207 | (28) |
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11.1 Disaster Prediction Problems |
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207 | (1) |
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11.2 Statistical Evaluation of Natural Disasters |
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208 | (1) |
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11.3 Safety Criteria of Unique Structures |
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209 | (1) |
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11.4 Survivability of Structural Systems |
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210 | (10) |
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11.5 Stochastic Analysis of Dynamic Instability |
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220 | (8) |
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11.6 Effects of Uneven Footing Settlement |
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228 | (7) |
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235 | (8) |
Appendix. Definitions for Terms Used in the Book |
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243 | (4) |
Bibliography |
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247 | (14) |
Author Index |
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261 | (4) |
Subject Index |
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265 | |