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.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 112 • Issue 6 • June 1986
Pages: 1297 - 1312
Copyright
Copyright © 1986 ASCE.
History
Published online: Jun 1, 1986
Published in print: Jun 1986
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