The Optimal Euler-Bernoulli Cantilever

by George J. Simitses,
Tom V. Kotras,

Serial Information: Journal of the Engineering Mechanics Division, 1975, Vol. 101, Issue 6, Pg. 922-929

Document Type: Journal Paper


This paper is concerned with achieving realistic optimal designs for Euler-Bernoulli cantilevers. The objective is to maximize the load to maximum deflection ration for a specified length and weight of material in the presence of geometric and behavioral constraints. This goal may be achieved by either of the following design objectives: 1. Minimize the maximum deflection for a given loading condition, length, and weight of material: and 2. Maximize the load for a given maximum deflection, length, and weight of material. Both of these objectives yield the same optimal design: however, the former is used in the formulation because it simplifies the optimization procedure.

Subject Headings: Maximum loads | Load factors | Displacement (mechanics) | Cantilevers | Material properties | Geometrics

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