Structural Engineering and Mechanics

  • 제19권4호
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  • Pages.413-423
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  • 2005
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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 deflections of variable-arc-length beams under uniform self weight: Analytical and experimental

  • Pulngern, Tawich (Department of Civil Engineering, King Mongkut's University of Technology Thonburi) ;
  • Halling, Marvin W. (Department of Civil and Environmental Engineering, Utah State University) ;
  • Chucheepsakul, Somchai (Department of Civil Engineering, King Mongkut's University of Technology Thonburi)
  • 투고 : 2004.04.07
  • 심사 : 2004.11.10
  • 발행 : 2005.03.10
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents the solution of large static deflection due to uniformly distributed self weight and the critical or maximum applied uniform loading that a simply supported beam with variable-arc-length can resist. Two analytical approaches are presented and validated experimentally. The first approach is a finite-element discretization of the span length based on the variational formulation, which gives the solution of large static sag deflections for the stable equilibrium case. The second approach is the shooting method based on an elastica theory formulation. This method gives the results of the stable and unstable equilibrium configurations, and the critical uniform loading. Experimental studies were conducted to complement the analytical results for the stable equilibrium case. The measured large static configurations are found to be in good agreement with the two analytical approaches, and the critical uniform self weight obtained experimentally also shows good correlation with the shooting method.

키워드

참고문헌

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  9. Large deflections of spatial variable-arc-length elastica under terminal forces vol.32, pp.4, 2005, https://doi.org/10.12989/sem.2009.32.4.501
  10. Geometrically non-linear static analysis of a simply supported beam made of hyperelastic material vol.35, pp.6, 2005, https://doi.org/10.12989/sem.2010.35.6.677