The work summed up in this document, must be understood in the framework of a general investigation line, undertaken by the Concrete Department of the Civil Engineering School of Madrid in 1985, with the financial support of the Roads Department of the Ministry of Public Works to three difFerent projects involving laboratory testing.The first of these, which was carried out from 1985 to 1989, consisted in the experimental analysis of the time-dependent behaviour of four simlply supported precast prestressed concrete beams. The results of this project are included in the PhD Thesis of Ramiro Rodríguez [58], supervised by Hugo Corres. The second project was carried out by Hugo Corres and José Romo from 1989 to 1991 and was centered on the study of prestressing losses. For this, 6 concrete columns with a centered prestressing were tested [59].This third project is intended to generalize the previous studies for the case of statically undetermined concrete elements.In the available bibliography, different models for the study of timedependent effects on concrete structures may be found, some of which consider concrete structures built in different phases, both at the sectional level and at the structural level [41,23,44,32,17].However, this type of analysis cannot be easily used by designers, who must evalúate the eífect on their structures of such complex phenomena by using simplified methods, which, sometimes, are not very rigourous. The objective of this work is to deal with time-dependent effects from a practical point of view, trying to compare the results of simplified criteria, used by designers, with those of more complex models, providing an idea of the errors these criteria entail. Another important problem considered is how to improve design without making it more complex.In order to achieve these goals, the problem is seen in a global manner, starting from the time-dependent behaviour of concrete at the fiber level, moving on to the eífects of this behaviour on structures, analysed both experimentally and theoretically, using different levéis of complexity, and, finally, evaluating the eíFects upon such analysis of the uncertainties surrounding the data and the modelling of the problem.This document is divided into five chapters, each of which deals with one of these problems, a summary of the main conclusions reached, and a proposal for future developments which naturally continué the work undertaken.In Chapter I, the time-dependent behaviour of concrete is considered at the fiber level. Using as support a great deal of experimental evidence, the influence of the different parameters, relating to concrete composition, humidity, temperature and specimen dimensions, on creep and shrinkage of concrete is observed. This behaviour is then explained on the basis of the physical mechanisms involved, which have been identified by different 26 I. MODELOS REOLOGICOS. MICROMECANICA