TECHNICAL PAPERS
May 1, 1983

Cracking and Shear Effects on Structural Walls

Publication: Journal of Structural Engineering
Volume 109, Issue 5

Abstract

A mathematical model taking into account flexural and shear deformation, rotary moment of inertia, and axial loads is developed to calculate the natural frequencies of isolated walls. Results of free vibration tests of nine 1/3‐scale reinforced concrete isolated walls are evaluated using the mathematical model. The measured “uncracked” fundamental frequency varied from 90%‐100% of the calculated value. Results of the free vibration tests are also compared with calculated frequencies using simplified formulas available in standard textbooks. It is shown that damping increases with the amplitude of the free vibration and with structural damage. It is concluded that shear deformations have a significant effect in the calculation of natural frequencies, particularly for walls with large boundary elements, and linear analyses based on “uncracked” properties may give unreasonably conservative values for earthquake design because of rapid reduction in natural frequencies caused by cracking.

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References

1.
Clough, R. W., and Penzien, J., “Dynamics of Structures,” McGraw‐Hill Book Co., Inc., New York, N.Y., 1975.
2.
Flügge, W., Handbook of Engineering Mechanics, 1st ed., McGraw‐Hill Book Co., Inc., New York, N.Y., 1962, pp. 61–28.
3.
Langhaar, H. L., Energy Methods in Applied Mechanics, John Wiley and Sons, Inc., New York, N.Y., 1962, p. 41.
4.
Oesterle, R. G., and Fiorato, A. E., “Free Vibration Tests of Structural Concrete Walls,” Portland Concrete Association Report to National Science Foundation, PCA R/D Series No. 1590, Skokie, Ill., Feb., 1980.
5.
Timoshenko, S. P., Vibration Problems in Engineering, 3rd ed., Van Nostrand, Princeton, N.J., 1955.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 109Issue 5May 1983
Pages: 1267 - 1277

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Published online: May 1, 1983
Published in print: May 1983

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J. Dario Aristizabal‐Ochoa, M. ASCE
Asst. Prof. of Civ. Engrg., P.O. Box 1647, Station B, Vanderbilt Univ., Nashville, Tenn. 37235

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