Impact Deflection Analysis of Concrete Beams
Publication: Journal of Structural Engineering
Volume 112, Issue 6
Abstract
An analytical solution is presented for the instantaneous deflection of pin‐ended beams under mid‐span impact of below‐yield intensity. Hertz's contact law and vibration theory are incorporated, leading to an integral equation for the force history. The beam displacement and velocity at the end of impact are used as initial conditions for the free vibration that ensues. The maximum deflection that may occur during the forced or free vibration stage is obtained automatically on a computer. To account for cracking of reinforced and prestressed concrete beams, Branson's effective moment of inertia, is used for single‐blow impact. For repeated impact, the equivalent moment of inertia developed for repeated loading, is calibrated using impact deflection data. Comparisons are made with two different groups of published experimental results. These indicate that the accuracy of the proposed procedure is generally good.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
ACI Committee 318, Building Code Requirements for Reinforced Concrete, ACI 318‐83, American Concrete Institute, Detroit, Mich., 1983, pp. 318–334.
2.
Bate, S. C. C., “The Effect of Impact Loading on Prestressed and Ordinary Reinforced Concrete Beams,” National Building Studies Research Paper 35, Department of Scientific and Industrial Research, Building Research Station, HSMO, London, England, 1961, 50 pp.
3.
Clough, R. W., and Penzien, J., Dynamics of Structures, McGraw‐Hill International, New York, N.Y., 1975, pp. 294–301.
4.
Eringen, A. C., “Transverse Impact on Beams and Plates,” Journal of Applied Mechanics, Vol. 20, Dec., 1953, pp. 461–468.
5.
Hughes, G., and Beeby, A. W., “Investigation of the Effect of Impact Loading on Concrete Beams,” The Structural Engineer, Vol. 60B, No. 3, Sept., 1982, pp. 45–52.
6.
Hughes, G., and Speirs, D. M., “An Investigation of the Beam Impact Problem,” Technical Report 546, Cement and Concrete Association, London, England, Apr., 1982, 117 pp.
7.
Hussain, A. T. M. K., The Behaviour of Prestressed Concrete Beams Under Impact Loading, thesis presented to the Asian Institute of Technology (AIT), at Bangkok, Thailand, in 1982, in partial fulfillment of the requirements for the degree of Master of Science.
8.
Loo, Y. C., and Wong, Y. W., “Analysis of Total Deflection of Reinforced Concrete Box Beams under Repeated Loading,” American Concrete Institute Journal Proceedings, Vol. 81, No. 1, Jan.–Feb., 1984, pp. 87–94.
9.
Loo, Y. C., and Santos, A. P., Deflection Analysis of Reinforced and Prestressed Concrete Beams under Repeated Impact, Civil Engineering Department Research Report, No. ST.85‐1, Wollongong Univ., Wollongong, Australia, June, 1985, 34 pp.
10.
Nie, N. H., Hull, C. H., and Bent, D., SPSS Statistical Packages for the Social Sciences, McGraw‐Hill, New York, N.Y., 1975, p. 675.
11.
Santos, A. P., Instantaneous Deflection of Concrete Beams under Repeated Impact of Constant and Increasing Severity, thesis presented to the Asian Institute of Technology (AIT), at Bangkok, Thailand, in 1984, in partial fulfillment of the requirements for the degree of Master of Science.
12.
Simms, L. G., “Actual and Estimated Impact Resistance of some Reinforced Concrete Units Failing in Bending,” Journal of the Institution of Civil Engineers, London, England, Paper 5422, pp. 163–179.
13.
Thomson, W. T., “Impulsive Response of Beams in the Elastic and Plastic Region,” Journal of Applied Mechanics, Vol. 21, Sept., 1954, pp. 271–278.
14.
Timoshenko, S. P., and Young, D. H., Vibration Problems in Engineering, 3rd ed., Van Nostrand, New York, N.Y., 1955, pp. 333–335.
15.
Wijewardene, K. A. K. K., “Deflection of Reinforced and Prestressed Concrete Beams Under Repeated Impact,” thesis presented to the Asian Institute of Technology (AIT), at Bangkok, Thailand, in 1984, in partial fulfillment of the requirements for the degree of Master of Engineering.
Information & Authors
Information
Published In
Copyright
Copyright © 1986 ASCE.
History
Published online: Jun 1, 1986
Published in print: Jun 1986
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.