Titel_SS06
An important aspect in the reassessment procedure illustrated in Figure 12.2 is that the knowledge about the structure is establ ...
Existing Condition Mapping Identification of degradation, capacity and residual service life Degradation mapping (location,caus ...
Also the local experience of the performance of structures executed in the same cement, same concrete composition, same producer ...
The uncertainty model for the yield stress and the limit state equation comprise the probabilistic model for the assessment of t ...
Performing prior, posterior and pre-posterior decision analysis. Setting acceptable levels for the probability of failure. T ...
measurement errors should be modelled as random variables, having means (zero for unbiased estimates), standard deviations and, ...
' '' ' () ( | )ˆ (|)ˆ () ( | )ˆ Q Q Q fq Lqx fqx f q Lq x dq (12.1) where ( )fQ q is the distribution function for the ...
(()0 ()0) () (( ) 0) PM h PFI Ph XX X (12.4) where X is a vector of random variables having the prior distribution fX( ...
information (degree of belief) about the yield strength of the steel, subsequent use of observed data and preferences among the ...
If extreme realisations of the total costs are associated with a marginal utility this should be included in the utility functio ...
>? 00 10 01 11 22 -4 4 ' min{ ' 0 ' 100000, ' 1000 ' 101000} min{(1 1.15 10 ) 0 1.15 10 100000, (1-1.33 10 ) 1 ...
and old information is performed through the sample likelihood Px ˆ:i and the prior probability P :i. The likelihood is the pr ...
batch as the considered steel bar and that the test result is fˆy=350 MPa i.e. equal to the mean value of the prior probabilisti ...
are made as above resulting in: 4 Pfa: 01 ˆy, 1 0.845 @@ 4 Pfa: 11 ˆy, 0.845 10 @@ Again it is seen that the fail ...
go ahead and perform the experiment. If several different types of experiments are possible the decision-maker must choose the e ...
strengthening is given by: (/*ˆ) T FsAf@@ y Pf (12.9) or * (^1) ()T ˆ f y s A FPf @@ (12.10) The consequences associated wit ...
appropriate curve has its minimum. From Figure 8 it is seen that if the cost of one test exceeds 1/200 of the initial manufactur ...
2 2 n@ fy @ (12.15) xis the sample mean of the observations, is the sample size assumed for the prior distribution of n' R ...
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 250 0.8 0.9 1.0 Predictive 300 350 400 450 Original Figure 12.11: Illustration of original and pre ...
2700 2800 2900 3000 3100 Probability of failure after test Probability of failure during test 2500 Proof load intensity Probabil ...
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