The Nonlinear Behavior of Elastic Slender Straight Beams Undergoing Small Strains and Moderate Rotations
Abstract
The subject paper deals with mathematical modeling of the nonlinear behavior of beams. A set of equations is derived and used to investigate the static behavior of a slender cantilever beam loaded transversely at the free end. Since the loading is not necessarily along the principal axes, the principal bending deflections and torsion are coupled elastically. In a strictly linear theory there would be no torsion; thus the presence of torsion is, itself, a manifestation of nonlinear behavior. The agreement obtained with experimental data achieved in the subject paper is excellent and confirms that one may apply the geometric nonlinear theory of elasticity to beams with confidence provided an adequate degree of nonlinearity is retained in the mathematical model to account for large deflections.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1980
- Accession Number
- ADA098203
Entities
People
- A. Rosen
- Dewy H. Hodges
- P. Friedman