Analyzing Uncertainty in Civil Engineering by Wolfgang Fellin, Heimo Lessmann, Michael Oberguggenberger,

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By Wolfgang Fellin, Heimo Lessmann, Michael Oberguggenberger, Robert Vieider

This quantity comprehensively addresses the problem of uncertainty in civil engineering, from layout to development. present engineering perform frequently leaves uncertainty concerns apart, even though new clinical instruments were built long ago many years that let a rational description of uncertainties of every kind, from version uncertainty to facts uncertainty. it's the target of this quantity to take a serious examine present engineering hazard innovations in an effort to bring up wisdom of uncertainty in numerical computations, shortcomings of a strictly probabilistic safeguard proposal, geotechnical types of failure and their building implications, real building, and obligation. additionally, the various new strategies for modelling uncertainty are defined. The e-book is because of the a collaborate attempt of mathematicians, engineers and building managers who met frequently in a post-graduate seminar on the college of Innsbruck up to now years.

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5). Table 7. 4, the failure probability is highly sensitive to changes in the input distribution parameters. A more robust measure as a basis for decisions appears desirable, in particular, a measure that would allow to account for model dependence and non-probabilistic uncertainties as well. Current trends in reliability and decision theory aim at relaxing some axioms of probability theory. This goes under the heading of “imprecise probability” and subsumes interval probability, convex sets of probability measures, random sets, plausibility and belief functions, fuzzy sets, and more (see [5] for a review as well as [13]).

Here we wish to emphasize a few aspects that are important for interpreting the results of the probabilistic method. Uncertainty of non-probabilistic input. At the foremost place, the soil model has to be mentioned. Is it a continuum model with an elasto-plastic, a hypoplastic Failure probabilities 35 or another constitutive law, or is it a discrete model? Completely different sets of influence variables may arise in this way. Second, what is the failure mechanism? Is it assumed that failure occurs when averages of the parameters exceed certain values, or is failure assumed to be due to localized disturbances?

Erd- und Grundbau, B¨ oschungsbruchberechnung, 1987. ¨ [15] ONORM B4435-2. Erd- und Grundbau, Fl¨ achengr¨ undungen, EUROCODEnahe Berechnung der Tragf¨ ahigkeit, 1999. ¨ [16] ONORM ENV 1991-1. Eurocode 1: Grundlagen der Tragwerksplanung und Einwirkung auf Tragwerke, Teil 1: Grundlagen der Tragwerksplanung, 1996. ¨ [17] ONORM ENV 1997-1. Eurocode 7: Entwurf, Berechnung und Bemessung in der Geotechnik, Teil 1: Allgemeine Regeln, 1996. H. A. T. P. Flannery. Numerical Recipes. Cambridge University Press, 2nd edition, 1992.

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