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 - Funding Information:
The help of Brent Weight in gathering experimental data is gratefully acknowledged. The donation of materials from Orvis, Sage, Lamiglas, St. Croix, and G. Loomis fly rod manufactures is also acknowledged. This work is supported by the National Science Foundation (NSF) under an NSF CAREER Award under grant No. DMI-9624574.
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 -