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Furthest reach of a uniform cantilevered elastica

Publication ,  Journal Article
Plaut, RH; Virgin, LN
Published in: Mechanics Research Communications
July 1, 2017

A uniform elastic cantilever is subjected to a uniformly distributed load or a concentrated load at its tip. The angle of the fixed end with the horizontal is varied until the maximum horizontal distance (projection) from the fixed end to the horizontal location of the tip is attained. The beam is modeled as an inextensible elastica, and numerical results are obtained with the use of a shooting method. For the optimal solution (furthest reach), the tip is below the level of the fixed end. Experiments are conducted to verify the analysis for a heavy cantilever (i.e., only subjected to its self-weight).

Duke Scholars

Published In

Mechanics Research Communications

DOI

ISSN

0093-6413

Publication Date

July 1, 2017

Volume

83

Start / End Page

18 / 21

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4901 Applied mathematics
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics
 

Citation

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Plaut, R. H., & Virgin, L. N. (2017). Furthest reach of a uniform cantilevered elastica. Mechanics Research Communications, 83, 18–21. https://doi.org/10.1016/j.mechrescom.2017.03.002
Plaut, R. H., and L. N. Virgin. “Furthest reach of a uniform cantilevered elastica.” Mechanics Research Communications 83 (July 1, 2017): 18–21. https://doi.org/10.1016/j.mechrescom.2017.03.002.
Plaut RH, Virgin LN. Furthest reach of a uniform cantilevered elastica. Mechanics Research Communications. 2017 Jul 1;83:18–21.
Plaut, R. H., and L. N. Virgin. “Furthest reach of a uniform cantilevered elastica.” Mechanics Research Communications, vol. 83, July 2017, pp. 18–21. Scopus, doi:10.1016/j.mechrescom.2017.03.002.
Plaut RH, Virgin LN. Furthest reach of a uniform cantilevered elastica. Mechanics Research Communications. 2017 Jul 1;83:18–21.
Journal cover image

Published In

Mechanics Research Communications

DOI

ISSN

0093-6413

Publication Date

July 1, 2017

Volume

83

Start / End Page

18 / 21

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4901 Applied mathematics
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics