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Hello,
actually, I am looking for some data concerning horizontal cantilevers that bend under the influence of the gravitation force. The cantilever should be rectangle-shaped, with given young-modul, poisson-ratio and of course measures. In addition to that, the deformation of the cantilever should be large ( ratio of vertical displacement of the end of the cantilever / length of the cantilever > 0.05 ). I don't know wether the underlying differential equations could be solved analytically, but if so, it would be great if someone could show me that solution ( just the result, not the derivation), otherwise experimental results, respectively where to get those( webpages, books or fairly common magazines) would be fine. The main concern is to get results that do not rely on the assumption of small deformations. I know this is quite a special topic but I ve been looking for that for a few days now and asking does not hurt anybody;)
Thank you for your interest
Michael
actually, I am looking for some data concerning horizontal cantilevers that bend under the influence of the gravitation force. The cantilever should be rectangle-shaped, with given young-modul, poisson-ratio and of course measures. In addition to that, the deformation of the cantilever should be large ( ratio of vertical displacement of the end of the cantilever / length of the cantilever > 0.05 ). I don't know wether the underlying differential equations could be solved analytically, but if so, it would be great if someone could show me that solution ( just the result, not the derivation), otherwise experimental results, respectively where to get those( webpages, books or fairly common magazines) would be fine. The main concern is to get results that do not rely on the assumption of small deformations. I know this is quite a special topic but I ve been looking for that for a few days now and asking does not hurt anybody;)
Thank you for your interest
Michael