We conduct research in the application of rigorous design methodologies to the design of artifacts and environments for people.


Predicting the large-deflection path of tapered cantilever beams

Parkinson, M. B., Roach, G. M., and Howell, L. L., 2000. Recent Advances in Solids and Structures 415:195-200. (BibTeX Citation) Parkinson2000a

A 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. This was verified through physical testing, comparison to solution of the Bernoulli-Euler equation, and results obtained in finite element analysis. Predicted 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.