An explicit solution of the large deformation of a cantilever beam under point load at the free tip. (English) Zbl 1128.74026

Summary: The large deformation of a cantilever beam under point load at the free tip is investigated by an analytic method, namely the homotopy analysis method. Explicit analytic formulas for the rotation angle at the free tip are given, which provide a convenient and straightforward approach to calculate a vertical and horizontal displacements of the cantilever beam with large deformation. These explicit formulas are valid for most practical problems, thus providing a useful reference for engineering applications. The corresponding Mathematica code is given in an appendix.


74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74G05 Explicit solutions of equilibrium problems in solid mechanics


Full Text: DOI


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