Large Deformation of a Rigid, Ideally Plastic Cantilever Beam

[+] Author and Article Information
Thomas C. T. Ting

Division of Engineering, Brown University, Providence, R. I.

J. Appl. Mech 32(2), 295-302 (Jun 01, 1965) (8 pages) doi:10.1115/1.3625799 History: Received February 13, 1964; Online September 15, 2011


A new formulation is presented for the deformation of a rigid, ideally plastic cantilever beam with an attached tip mass under impact loading at its tip. The effects due to arbitrarily large displacements are rigorously taken into account. The results are compared with Parkes’ solution2 in which the geometry changes are neglected. Comparisons with experiments3, 4 show that neglect of the geometry changes is responsible for part of the discrepancies between Parkes’ theory and the experiments.

Copyright © 1965 by ASME
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