Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2768

Full Length Research Paper

Approximate solution to three point bending equation for a simply supported beam

J. C. Venetis
  • J. C. Venetis
  • NTUA, Faculty of Applied Mathematics and Physical Sciences, Section of Mechanics, 5, Heroes of Polytechneion Av., Zografou Campus, 15773 Athens Greece.
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E. P. Sideridis
  • E. P. Sideridis
  • NTUA, Faculty of Applied Mathematics and Physical Sciences, Section of Mechanics, 5, Heroes of Polytechneion Av., Zografou Campus, 15773 Athens Greece.
  • Google Scholar


  •  Received: 19 December 2014
  •  Accepted: 27 April 2015
  •  Published: 15 May 2015

Abstract

In this work, the authors present an approximate solution to three point bending equation for a simply supported beam of rectangular section. The deflection of the beam due to a perpendicular point – wise load is estimated for high rates of its curvature. After the deformation of the beam, the shape of its cross sectional area is assumed to remain as is. The proposed solution consists of binomial power series and does not contain elliptic integrals or other special functions. Hence, it may be more appropriate for usual engineering practices.
 
Key words: Simply supported beam, three point bending, large deflection.