Preface |
|
xi | |
Chapter 1 Concepts from Probability Theory and Statistics |
|
1 | (80) |
|
1.1 The role of probability in civil engineering |
|
|
1 | (1) |
|
1.2 Physical and statistical uncertainties |
|
|
2 | (1) |
|
|
3 | (5) |
|
|
3 | (1) |
|
|
3 | (2) |
|
|
5 | (1) |
|
1.3.4 Conditional probabilities |
|
|
5 | (3) |
|
1.4 Random variables – distributions |
|
|
8 | (13) |
|
|
8 | (1) |
|
|
8 | (2) |
|
1.4.3 Probability density function |
|
|
10 | (1) |
|
1.4.4 Main descriptors of a random variable |
|
|
11 | (4) |
|
|
15 | (1) |
|
1.4.6 Independent variables |
|
|
16 | (1) |
|
1.4.7 Correlation coefficient |
|
|
16 | (2) |
|
1.4.8 Functions of random variables |
|
|
18 | (2) |
|
1.4.9 Approximate moments |
|
|
20 | (1) |
|
1.5 Useful random variables |
|
|
21 | (10) |
|
|
21 | (4) |
|
1.5.2 Normal distribution |
|
|
25 | (1) |
|
1.5.3 Lognormal distribution |
|
|
26 | (2) |
|
|
28 | (1) |
|
1.5.5 Exponential distribution |
|
|
29 | (1) |
|
|
30 | (1) |
|
1.5.7 Student's t-distribution |
|
|
31 | (1) |
|
|
31 | (7) |
|
1.6.1 Law of large numbers |
|
|
32 | (3) |
|
|
35 | (3) |
|
1.7 Modeling random variables |
|
|
38 | (13) |
|
|
39 | (4) |
|
1.7.2 Interval estimation |
|
|
43 | (3) |
|
1.7.3 Estimation of fractiles |
|
|
46 | (2) |
|
1.7.4 Estimation of the distribution |
|
|
48 | (3) |
|
1.8 Distribution of extremes |
|
|
51 | (7) |
|
|
58 | (7) |
|
1.9.1 Type I and II errors |
|
|
60 | (1) |
|
|
61 | (4) |
|
|
65 | (9) |
|
1.10.1 A priori and a posteriori distributions |
|
|
66 | (2) |
|
1.10.2 Updating estimators |
|
|
68 | (2) |
|
|
70 | (4) |
|
1.11 Stochastic processes |
|
|
74 | (7) |
|
|
74 | (1) |
|
|
75 | (1) |
|
|
76 | (2) |
|
1.11.4 Time between stages |
|
|
78 | (3) |
Chapter 2 Structural Safety, Performance and Risk |
|
81 | (44) |
|
|
81 | (1) |
|
|
82 | (5) |
|
|
82 | (1) |
|
2.2.2 Concept of risk related to a danger or threat |
|
|
83 | (1) |
|
|
84 | (1) |
|
|
85 | (2) |
|
2.3 Risk evaluation and acceptable risk |
|
|
87 | (9) |
|
|
87 | (2) |
|
|
89 | (7) |
|
2.4 Risk-based management |
|
|
96 | (9) |
|
|
96 | (1) |
|
|
96 | (8) |
|
2.4.3 Legal point of view for a risk-based approach |
|
|
104 | (1) |
|
2.5 Examples of failure: bridges |
|
|
105 | (5) |
|
2.6 From safety to performance |
|
|
110 | (12) |
|
2.6.1 Functions of a structure |
|
|
110 | (2) |
|
|
112 | (7) |
|
2.6.3 Evolution of structural functionality |
|
|
119 | (2) |
|
2.6.4 Consequences of performance losses |
|
|
121 | (1) |
|
2.6.5 Generalization of the concept of risk |
|
|
121 | (1) |
|
|
122 | (3) |
Chapter 3 Performance-based Assessment |
|
125 | (110) |
|
3.1 Analysis methods and structural safety |
|
|
125 | (9) |
|
3.1.1 Allowable stress principle |
|
|
128 | (1) |
|
3.1.2 Limit states and partial factors |
|
|
128 | (4) |
|
3.1.3 Probability-based approach |
|
|
132 | (2) |
|
3.2 Safety and performance principles |
|
|
134 | (2) |
|
|
135 | (1) |
|
3.2.2 Existing structures |
|
|
135 | (1) |
|
|
136 | (2) |
|
|
138 | (12) |
|
|
138 | (1) |
|
3.4.2 Convolution integral |
|
|
139 | (1) |
|
|
140 | (2) |
|
3.4.4 Geometric expression of the reliability index |
|
|
142 | (3) |
|
3.4.5 Joint distribution representation |
|
|
145 | (1) |
|
3.4.6 Limit state with more than two uncorrelated normal variables |
|
|
145 | (3) |
|
3.4.7 Limit state with correlated variables |
|
|
148 | (2) |
|
|
150 | (37) |
|
3.5.1 Failure component – failure mode |
|
|
150 | (1) |
|
3.5.2 Safety margins – limit state functions |
|
|
150 | (1) |
|
3.5.3 Calculation methods |
|
|
151 | (1) |
|
3.5.4 Basler-Cornell index |
|
|
152 | (6) |
|
|
158 | (3) |
|
3.5.6 Rackwitz-Fiessler algorithm |
|
|
161 | (1) |
|
3.5.7 Isoprobability transformations |
|
|
162 | (6) |
|
3.5.8 Calculation of the failure probability |
|
|
168 | (4) |
|
3.5.9 Monte-Carlo methods |
|
|
172 | (4) |
|
|
176 | (7) |
|
3.5.11 Sensitivity measures |
|
|
183 | (4) |
|
|
187 | (21) |
|
3.6.1 Mathematical concepts |
|
|
190 | (9) |
|
3.6.2 Calculation of the system probability of failure |
|
|
199 | (6) |
|
3.6.3 Robustness and vulnerability |
|
|
205 | (3) |
|
3.7 Determination of collapse/failure mechanisms |
|
|
208 | (9) |
|
3.7.1 Generation of safety margins for truss structures |
|
|
208 | (5) |
|
|
213 | (4) |
|
3.8 Calibration of partial factors |
|
|
217 | (7) |
|
3.9 Nature of a probabilistic calculation |
|
|
224 | (1) |
|
3.10 Failure probabilities and acceptable risks |
|
|
225 | (10) |
|
3.10.1 Acceptable failure probabilities |
|
|
225 | (5) |
|
3.10.2 Concept of acceptable risk |
|
|
230 | (3) |
|
|
233 | (2) |
Chapter 4 Structural Assessment of Existing Structures |
|
235 | (26) |
|
|
235 | (1) |
|
|
236 | (1) |
|
4.3 Limits when using design rules |
|
|
236 | (1) |
|
4.4 Main stages in structural assessment |
|
|
237 | (2) |
|
4.5 Structural safety assessment |
|
|
239 | (21) |
|
|
240 | (1) |
|
|
240 | (2) |
|
|
242 | (2) |
|
|
244 | (6) |
|
|
250 | (8) |
|
4.5.6 Implementing rating factors |
|
|
258 | (2) |
|
4.6 General remarks on the methods |
|
|
260 | (1) |
Chapter 5 Specificities of Existing Structures |
|
261 | (94) |
|
|
261 | (70) |
|
|
261 | (3) |
|
5.1.2 Stochastic processes |
|
|
264 | (21) |
|
5.1.3 Spatial variability |
|
|
285 | (1) |
|
|
286 | (2) |
|
|
288 | (3) |
|
|
291 | (7) |
|
5.1.7 Environmental loads |
|
|
298 | (27) |
|
|
325 | (6) |
|
|
331 | (17) |
|
5.2.1 Material properties and uncertainties |
|
|
332 | (2) |
|
5.2.2 Properties of reinforcing and prestressing steel |
|
|
334 | (6) |
|
5.2.3 Properties of structural steel |
|
|
340 | (1) |
|
5.2.4 Properties of concrete |
|
|
341 | (7) |
|
5.3 Geometric variability |
|
|
348 | (3) |
|
|
351 | (4) |
Chapter 6 Principles of Decision Theory |
|
355 | (58) |
|
|
355 | (1) |
|
|
356 | (8) |
|
|
356 | (4) |
|
|
360 | (1) |
|
6.2.3 Terminal decision analysis |
|
|
361 | (2) |
|
|
363 | (1) |
|
6.3 Controls and inspections |
|
|
364 | (20) |
|
6.3.1 Detection probability: a discrete case |
|
|
367 | (8) |
|
6.3.2 Detection probability: a continuous case |
|
|
375 | (6) |
|
|
381 | (3) |
|
6.4 Maintenance optimization |
|
|
384 | (7) |
|
6.4.1 Identification of degradations and failure modes |
|
|
387 | (2) |
|
6.4.2 Decision process and RBI analysis |
|
|
389 | (1) |
|
|
390 | (1) |
|
6.5 Life cycle cost analysis |
|
|
391 | (12) |
|
6.5.1 Discount calculations |
|
|
392 | (2) |
|
|
394 | (2) |
|
6.5.3 Some results from discounting analysis |
|
|
396 | (2) |
|
6.5.4 Condition, working lifetime and life cycles |
|
|
398 | (5) |
|
6.6 Maintenance strategies |
|
|
403 | (10) |
|
6.6.1 Corrective maintenance |
|
|
404 | (1) |
|
6.6.2 Systematic maintenance |
|
|
405 | (1) |
|
6.6.3 Conditional maintenance |
|
|
406 | (7) |
Bibliography |
|
413 | (10) |
Index |
|
423 | |