Large Deflections of Cantilever Beams of Non-linear Materials of the Ludwick Type Subjected to an End Moment

Document Type

Article

Publication Date

1982

Department

Department of Civil, Environmental, and Geospatial Engineering; Department of Mathematical Sciences

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.

Publisher's Statement

© 1982

Publication Title

International Journal of Non-Linear Mechanics

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