TECHNICAL PAPERS
Aug 1, 1990

Homogeneous Structures Subjected to Repeated Structural System Changes

Publication: Journal of Engineering Mechanics
Volume 116, Issue 8

Abstract

In this paper the creep effects in structures subjected to successive structural system changes are analyzed. The problem is related to structures that develop their structural system from statically determinate to indeterminate, with a gradual increase in the number of redundant restraints introduced at different times. Assuming a linear creep law, the stress redistribution caused by creep in the structure for each stage is evaluated. Writing the compatibility equation at the last restraint introduced, a recurrent formula for the history of redundant reaction is derived. The general solution is proposed as the sum of elastic quantities multiplied by integral terms (which take the creep effects into account) that are the same as the simple case where the additional restraints are introduced all together. The method presented demonstrates that, at all stages, the reaction at the last restraint does not depend on the introduction times of the previous restraints. This reaction is determined by a particular Volterra integral equation solved by numerical procedures of the general method.

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References

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Aguiuaga‐Zapata, M., and Bažant, Z. P. (1986). “Creep deflections in slab buildings and forces in shores during construction.” ACI J., 83(Sep./Oct.), 719–726.
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Chiorino, M. A., and Mola, F. (1982). “Analysis of linear visco‐elastic structures subjected to delayed restraints.” ISBN 90‐247‐2549‐6, Fundamental Res. on Creep and Shrinkage of Concrete.
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Chiorino, M. A., et al. (1984). “CEB design manual on structural effects of time dependent behaviour of concrete.” CEB Bulletin d'Information No. 142/142bis, Georgi Publishing Co., Saint‐Saphorin, Switzerland.
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Menditto, G., Dezi, L., and Tarantino, A. M. (1986). “Creep in structures with variable structural system.” Fourth RILEM Int. Symp. on Creep and Shrinkage of Concrete: Mathematical Modeling. Northwestern Univ., Evanston, Ill., Aug., 859–869.
8.
Menditto, G., Dezi, L., and Tarantino, A. M. (1987). “Grafici per l'analisi elastoviscosa di strutture soggette al cambiamento di schema statico.” La prefabbricazione strutturale, Stresa, Italy, 465–480 (in Italian).

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 116Issue 8August 1990
Pages: 1723 - 1732

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Published online: Aug 1, 1990
Published in print: Aug 1990

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Authors

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Luigino Dezi
Assoc. Prof. of Struct. Engrg., Inst. of Struct. Engrg., Univ. of Ancona, Via Brecce Bianche, Monte D'Ago, 60131 Ancona, Italy
Giovanni Menditto
Prof. and Head, Inst. of Struct. Engrg., Univ. of Ancona, Via Brecce Bianche, Monte D'Ago, 60131 Ancona, Italy
Angelo Marcello Tarantino
Grad. Engr., Inst. of Struct. Engrg., Univ. of Ancona, Via Brecce Bianche, Monte D'Ago, 60131 Ancona, Italy

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