Predicting the large deflection path of end-loaded tapered cantilever beams

Matthew B. Parkinson, Gregory M. Roach, Larry L. Howell

Research output: Chapter in Book/Report/Conference proceedingConference contribution


A simple (quadratic) mathematical model for predicting the deflection path of both non-tapered and continuously tapered cantilever beams loaded with a vertical end force is presented. It is based on the proposition that the path is a function of the ratio of the endpoints' moments of inertia. The model is valid for both small and large (the tip makes a 70 degree angle with the horizontal) deflections. This was verified through physical testing, comparison to solution of the Bernoulli-Euler equation, and results obtained through nonlinear finite element analysis. Predicted endpoint deflections were found to be accurate within 1.8% of the actual deflection path for moment of inertia ratios varying from 1:1 to 1000:1.

Original languageEnglish (US)
Title of host publicationRecent Advances in Solids and Structures
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages6
ISBN (Electronic)9780791819050
StatePublished - 2000
EventASME 2000 International Mechanical Engineering Congress and Exposition, IMECE 2000 - Orlando, United States
Duration: Nov 5 2000Nov 10 2000

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)


ConferenceASME 2000 International Mechanical Engineering Congress and Exposition, IMECE 2000
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this