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Large deflection of simple variable-arc-length beam subjected to a point load

  • Chucheepsakul, S. (Department of Civil Engineering, King Mongkut's Institute of Technology Thonburi) ;
  • Thepphitak, G. (Department of Civil Engineering, King Mongkut's Institute of Technology Thonburi) ;
  • Wang, C.M. (Department of Civil Engineering, The National University of Singapore)
  • Published : 1996.01.25

Abstract

This paper considers large deflection problem of a simply supported beam with variable are length subjected to a point load. The beam has one of its ends hinged and at a fixed distance from this end propped by a frictionless support over which the beam can slide freely. This highly nonlinear flexural problem is solved by elliptic-integral method and shooting-optimization technique, thereby providing independent checks on the new solutions. Because the beam can slide freely over the frictionless support, there is a maximum or critical load which the beam can carry and it is dependent on the position of the load. Interestingly, two possible equilibrium configurations can be obtained for a given load magnitude which is less than the critical value. The maximum arc-length was found to be equal to about 2.19 times the fixed distance between the supports and this value is independent of the load position.

Keywords

References

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