Abstract
This paper presents a practical method of analysis of the plastic deflction of reinforced concrete beams and frames subjected to the repeated loading. The method of analysis of the plastic deflection of structures subjected only to the static (one-way) loading has been well established, and it has been proved to produce good results as compared with experiments. But few attempts have been made to extend the loading condition to the repeated loading, although many experimental works have been made on this problem. The analysis described in this paper is a kind of practical one, based on the "e-function method" by Dr. Umemura, and contains some assumptions which are adopted conventionally to apply the e-function method on the state of repeated loading. The basic assumption is that the moment-curvature relation under repeated loading shows a histeresis curve consisted from two parabolas. The assumptions and fundamental equations are given in §2, and examples of application of these equations to statically determinate and indeterminate frames are shown in §3 and §4. As for statically determinate frame, deflection calculated by this method is somewhat larger than the value from experiment before the concrete in tension side of each member cracks, but it showed good coincidence with experiment when each member of the frame is plastified under big or repeated loads. As for statically indeterminate frames, we can also obtain the same conclusion as above, though the author intends to publish these results in the next occasion and described in this paper only the way how to apply these equations to such frames.
