Structural Engineering and Mechanics

  • 제4권1호
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  • Pages.49-59
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  • 1996
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

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)
  • 발행 : 1996.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

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  8. Double Curvature Bending of Variable-Arc-Length Elasticas vol.66, pp.1, 1999, https://doi.org/10.1115/1.2789173
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  10. Elastica and buckling load of simple tapered columns with constant volume vol.37, pp.18, 2000, https://doi.org/10.1016/S0020-7683(99)00007-4
  11. Effect of Material Nonlinearity on Large Deflection of Variable-Arc-Length Beams Subjected to Uniform Self-Weight vol.2012, 2012, https://doi.org/10.1155/2012/345461
  12. Large deflection behavior of a flexible circular cantilever arc device subjected to inward or outward polar force vol.22, pp.4, 2006, https://doi.org/10.12989/sem.2006.22.4.433
  13. Large deflections of spatial variable-arc-length elastica under terminal forces vol.32, pp.4, 2009, https://doi.org/10.12989/sem.2009.32.4.501
  14. Exact solutions of variable-arc-length elasticas under moment gradient vol.5, pp.5, 1996, https://doi.org/10.12989/sem.1997.5.5.529