TECHNICAL PAPERS
Sep 1, 1996

Parameter Models for Estimating In-Situ Tensile Force in Tie-Rods

Publication: Journal of Engineering Mechanics
Volume 122, Issue 9

Abstract

Two analytical models are presented for the identification of the actual static scheme and tensile force of metallic tie-rods included in masonry arches and vaults. The reference structural system consists of a moment-resistant tie-beam with elastic rotational springs at the extremities. Symmetrical restraint conditions are initially hypothesized, thus obtaining a two-parameter model in which the unknowns are the springs' rigidity along with the axial force. The preceding assumption is then removed by defining a more general, three-parameter model in which two different spring rigidities are considered. The mutual experimental data are the middle-section vertical displacement under a concentrated load and the fundamental vibration frequency; the second vibration frequency is adjunctively assumed for the three-parameter model. Closed-form equations are formulated in both cases. Laboratory tests show a notable agreement between analytical estimates and experimental measures. A statistical balance of the application of the proposed models to over 200 rods belonging to several Italian monumental as well as common ancient buildings is presented along with more-detailed information about a significant case study.

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References

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Blasi, C., and Sorace, S.(1994). “Determining the axial force in metallic rods.”Struct. Engrg. Int., 4(4), 241–246.
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Newmark, N. M.(1949). “A simple approximate formula for effective end-fixity of columns.”J. Aeronautical Sci., 16(2), 116.
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Newmark, N. M., and Veletsos, A. S.(1952). “A simple approximation for the natural frequencies of partly restrained bars.”J. Appl. Mech., 19(9), 563.
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Sorace, S. (1994). “Restauro strutturale di costruzioni di interesse storico-artistico: problemi e strategie di diagnosi, analisi ed intervento (structural refurbishment of historical and monumental buildings: problems and strategies concerning the diagnosis, analysis, and intervention phases).”Bollettino Ingegneri, Florence, Italy, XLI(11), 13–22 (in Italian).
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Stokey, W. F. (1988). “Chapter 7: vibrations of systems having distributed mass and elasticity.”Shock and vibration handbook, C. M. Harris, ed., McGraw-Hill, Inc., New York, N.Y.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 122Issue 9September 1996
Pages: 818 - 825

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Published online: Sep 1, 1996
Published in print: Sep 1996

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Stefano Sorace
Asst. Prof., Inst. of Energetics, Facu. of Engrg., Perugia Univ., 06125 Perugia, Italy.

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