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Founded in 1904 and headquartered in Farmington Hills, Michigan, USA, the American Concrete Institute is a leading authority and resource worldwide for the development, dissemination, and adoption of its consensus-based standards, technical resources, educational programs, and proven expertise for individuals and organizations involved in concrete design, construction, and materials, who share a commitment to pursuing the best use of concrete.
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Home > Publications > International Concrete Abstracts Portal
The International Concrete Abstracts Portal is an ACI led collaboration with leading technical organizations from within the international concrete industry and offers the most comprehensive collection of published concrete abstracts.
Title: Uncertainty Analysis of Creep and Shrinkage Effects in Concrete
Author(s): Henrik 0. Madsen and Zdenek P. Bazant
Publication: Journal Proceedings
Appears on pages(s): 116-127
Keywords: concrete construction; creep properties; mathematical models; prob-ability theory; reliability; shrinkage; structural analysis; structural members;
Abstract:A simple probabilistic model, which allows calculation of simple statistics for shrinkage and creep effects for structural elements, is presented. The statistics can be, in particular, the mean value function and the covariance function (including the variance function), which seem to be the most interesting statistics for serviceablity analysis. Any deterministic creep and shrinkage formula can be the basis for probabitalistic creep and shrinkage models. The formulas are randomized by introducing the entering parameters as random variables and by furthur introducing random model uncertainty factors to characterize the incompleteness or inadequacy of the deterministic formulas. Statistics for the model’s uncertainty factors are derived by a comparison between available test data and predictions for these tests by the formulas. The creep and shrinkage formulas developed by Bazant and Panula (BP model) are chosen. Structural analysis can be carried out by any conventional deterministic method. In this paper, the analysis is performed by a matrix method which gives essentially exact results if the time discretization is close enough. A large number of examples of practical relevance demonstrates the potential of the method. Some of the examples show that structural effects which in a deterministic anaylsis almost vanish can have a very large uncertainty, which should be taken into account in practical design.
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