Moment Value at the Center of Circular Plates Under Central Point Load

[+] Author and Article Information
C. M. Wang, C. H. Ang

Department of Civil Engineering, The National University of Singapore, Kent Ridge, Singapore 119260

J. Appl. Mech 66(3), 815-818 (Sep 01, 1999) (4 pages) doi:10.1115/1.2791763 History: Received July 24, 1997; Revised November 26, 1997; Online October 25, 2007


It is a well-known fact that the bending moment at the center of a circular plate under a central point load becomes infinite. So, “what is a sensible finite moment value, that one may adopt, at the center of a circular plate under a central point load?” This study addresses this interesting and fundamental question. In order to obtain a finite value to the bending moment, we draw upon the exact deflection expressions from the classical and higher-order plate theories of Mindlin and of Reddy, and make some reasonable assumptions such as the maximum deflection of Mindlin plate being equal to the maximum deflection of the corresponding Reddy plate and the constancy of the Mindlin shear correction factor.

Copyright © 1999 by The American Society of Mechanical Engineers
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