Finite Deflection of Tapered Cantilevers

by Gangan Prathap,
Tirupathi Kumara Varadan,

Serial Information: Journal of the Engineering Mechanics Division, 1976, Vol. 102, Issue 3, Pg. 549-552

Document Type: Journal Paper


The finite deflection of slender beams has been subject to considerable attention in the past. Closed-form solution exits in the form of elliptical integrals for the simple case of a uniform cantilever with tip load. Several other numerical solutions are available for uniform beams with concentrated or distributed loads. There is little literature, however, or variable cross-sectional beams. Wang and Lee extended the power series solution of Rohde to solve with varying distributed loads. This method, however, is easily applicable only where the inertia variation can be expressed as a simple linear function and where the distributed load can be written in the form of a polynomial of the third degree. In this paper, the writers extend their numerical iterative method to solve the problem of a tapered cantilever of any arbitrary inertia variation subject to any variably distributed load.

Subject Headings: Load factors | Load distribution | Beams | Numerical methods | Displacement (mechanics) | Cantilevers | Inertia | Closed form solutions

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