The Influence of Rotatory Inertia and Transverse Shear on the Dynamic Plastic Behavior of Beams

[+] Author and Article Information
Norman Jones, J. Gomes de Oliveira

Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, Mass. 02139

J. Appl. Mech 46(2), 303-310 (Jun 01, 1979) (8 pages) doi:10.1115/1.3424546 History: Received January 01, 1978; Revised September 01, 1978; Online July 12, 2010


The theoretical procedure presented herein examines the influence of retaining the transverse shear force in the yield criterion and rotatory inertia on the dynamic plastic response of beams. Exact theoretical rigid perfectly plastic solutions are presented for a long beam impacted by a mass and a simply supported beam loaded impulsively. It transpires that rotatory inertia might play a small, but not negligible, role on the response of these beams. The results in the various figures indicate that the greatest departure from an analysis which neglects rotatory inertia but retains the influence of the bending moment and transverse shear force in the yield condition is approximately 11 percent for the particular range of parameters considered.

Copyright © 1979 by ASME
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