Abstract
Based on the Plastica theory (see ref. [12]), the large deflection of an elastic-perfectly plastic cantilever subjected to an inclined concentrated force at its tip, before the unloading in the plastic region occurs, is analyzed in this paper. The emphasis of the analysis is put on the effects of the angle of inclination of the concentrated force upon the deformed shape, the load-deflection relationship and the length of the plastic region. Both analytical and computed results are given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Frisch-Fay, R.,Flexible Bars, Butterworth, Washington, D.C. (1962).
Wang, C.Y. and L.T. Watson, On the large deformations ofC-shaped springs,Int. J. Mech. Sci.,22 (1980), 395–400.
Wang, C.Y., Folding of elastica: similarity solutions,J. Appl. Mech.,48 (1981), 199–200.
Wang, C.Y. and L.T. Watson, The elastic catenary,Int. J. Mech. Sci.,24 (1982), 349–357.
Wang, C.Y. Buckling and postbuckling of the lying sheet,Int. J. Solids Structures,20 (1984), 351–358.
Golley, B.W., Large deflections of bars bent through frictionless supports,Int. J. Non-Linear Mech.,19, 1 (1984), 1–9.
Oden, J. T. and S.B. Childs, Finite deflections of a nonlinearly elastic bar,J. Appl. Mech.,37 (1970), 48–52.
Parathap, G. and T.K. Varadan, The inelastic large deformation of beams,J. Appl. Mech.,43 (1976), 689–690.
Lo, C.C. and S.D. Gupta, Bending of a nonlinear rectangular beam in large deflection,J. Appl. Mech.,45 (1978), 213–215.
Monasa, F.E., Deflections and stability behaviour of elasto-plastic flexible bars,J. Appl. Mech.,41 (1974), 537–538.
Monasa, F.E., Deflections of postbuckled unloaded elasto-plastic thin vertical columns,Int. J. Solids Structures,16 (1980), 757–765.
Yu, T.X. and W. Johnson, The Plastica: the large elastic-plastic deflection of a strut,Int. J. Non-Linear Mech.,17 (1982), 195–209.
Wu, X.Q., and T.X. Yu, The complete process of large elastic-plastic deflection of a cantilever,Acta Mech. Sinica,18, 6 (1986), 516–527. (in Chinese), Also inActa Mech. Sinica (English Ed.),2 (1986), 333–347.
Yu, T.X. and W. Johnson, The influence of axial force on the elastic-plastic bending and spring-back of a beam,J. Mech. Working Tech.,6 (1982), 5–21.
Author information
Authors and Affiliations
Additional information
Communicated by Yeh Kai-yuan
Rights and permissions
About this article
Cite this article
Feng, L., Tong-xi, Y. An analysis of the large deflection of an elastic-plastic cantilever subjected to an inclined concentrated force. Appl Math Mech 12, 547–555 (1991). https://doi.org/10.1007/BF02015568
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02015568