Structural Engineering and Mechanics

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Yield mechanisms of stepped cantilevers subjected to a dynamically applied constant tip force

  • Wang, B. (School of Mechanical and Production Engineering, Nanyang Technological University)
  • Published : 1995.09.25
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Abstract

Previous studies of a stepped cantilever with two straight segments under a suddenly applied constant force (a step load) applied at its tip have shown that the validity of deformation mechanisms is governed by certain geometrical restrictions. Single and double-hinge mechanisms have been proposed and it is shown in this paper that for a stepped cantilever with a stronger tip segment, i.e. $M_{0.1}$ > $M_{0.2}$, where $M_{0.1}$ and $M_{0.2}$ are the dynamic fully plastic bending moments of the tip and root segments, respectively, the family of possible yield mechanisms is expanded by introducing new double and triple-hinge mechanisms. With the aid of these mechanisms, it is shown that all initial deformations can be derived for a stepped cantilever regardless of its geometry and the magnitude of the dynamic force applied.

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References

  1. Hua, Y.L., Yu, T.X. and Reid, S.R. (1988), "Double-hinge modes in the dynamic response of plastic cantilever beams subjected to step loading", Int. J. Impact Engng., 7, 401-414. https://doi.org/10.1016/0734-743X(88)90004-8
  2. Johnson, W. (1972), Impact strength of materials, Arnold, E., London.
  3. Lee, E.H., and Symonds, P.S. (1952), "Large plastic deformation of beams under transverse impact", J. Appl. Mech., 19, 308-314.
  4. Martin, J.B. (1964), "The plastic deformation of a bent cantilever", Division of Engineering, Brown Univ. Report N87, GP 1115/15.
  5. Reid, S.R., Wang, B. and Yu, T.X. (1995), "Yield mechanisms of a bent cantilever beam subjected to a constant out-of-plane tip force", Int. J. Impact Engng., 16, 49-73. https://doi.org/10.1016/0734-743X(94)00033-S
  6. Reid, S.R., Wang, B. and Hua, Y.L. (1995), "Triple plastic hinge mechanism for a bent cantilever beam subjected to an out-of-plane tip force pulse of finite duration", Int. J. Impact Engng., 16, 75-93. https://doi.org/10.1016/0734-743X(94)00034-T
  7. Yu, T.X., Hua, Y.L. and Johnson, W. (1985), "The plastic hinge position in a circular cantilever when struck normal to its plane by a constant jet at its tip", Int. J. Impact Engng., 3, 143-154. https://doi.org/10.1016/0734-743X(85)90001-6
  8. Wang, B., Yu, T.X and;Reid, S.R. (1993), "Out-of-plane impulsive loading of a right-angled bent cantilever beam", Advances in Engineering Plasticity and its Application, Lee, W. B. (Ed.), Elsevier, 491-496.
  9. Wang, B. (1994), "Response of a bent cantilever to an impulsive load applied at its tip normal to its plane", Int. J. Solids Structures, 31, 1377-1392. https://doi.org/10.1016/0020-7683(94)90183-X