Furthest reach of a uniform cantilevered elastica

Journal Article (Journal Article)

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).

Full Text

Duke Authors

Cited Authors

  • Plaut, RH; Virgin, LN

Published Date

  • July 1, 2017

Published In

Volume / Issue

  • 83 /

Start / End Page

  • 18 - 21

International Standard Serial Number (ISSN)

  • 0093-6413

Digital Object Identifier (DOI)

  • 10.1016/j.mechrescom.2017.03.002

Citation Source

  • Scopus