TY - GEN
T1 - Predicting the large deflection path of end-loaded tapered cantilever beams
AU - Parkinson, Matthew B.
AU - Roach, Gregory M.
AU - Howell, Larry L.
N1 - Publisher Copyright:
© 2000 by ASME
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
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U2 - 10.1115/IMECE2000-1270
DO - 10.1115/IMECE2000-1270
M3 - Conference contribution
AN - SCOPUS:85119826131
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
SP - 195
EP - 200
BT - Recent Advances in Solids and Structures
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 2000 International Mechanical Engineering Congress and Exposition, IMECE 2000
Y2 - 5 November 2000 through 10 November 2000
ER -