Title
Large deflections of cantilever beams of non-linear materials of the Ludwick type subjected to an end moment
Document Type
Article
Publication Date
1-1-1982
Abstract
This paper deals with the large deflections (finite) of thin cantilever beams of non-linear materials of the Ludwick type. The beam is subjected to an end constant moment. Large deflections of beams induce geometrical non-linearity. Therefore, in formulating the analysis, the exact expression of the curvature is used in the Euler-Bernoulli law. A closed-form solution is presented for the resulting second-order non-linear differential equation. This solution is compared to previous results assuming linear elastic materials. Deflections at the free end of beams of aluminum alloy and annealed copper are obtained. © 1982.
Publication Title
International Journal of Non-Linear Mechanics
Recommended Citation
Lewis, G.,
&
Monasa, F.
(1982).
Large deflections of cantilever beams of non-linear materials of the Ludwick type subjected to an end moment.
International Journal of Non-Linear Mechanics,
17(1), 1-6.
http://doi.org/10.1016/0020-7462(82)90032-4
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5298