Polar analysis of beam-columns for aircraft Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/5x21tj12m

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  • The analysis of a member carrying a combination of lateral and axial loads (a "beam-column") is a problem of frequent occurrence in aircraft structural design. This thesis presents the derivation and application of the Polar method, both analytical and graphical. The method was first suggested in Germany, several years later a study of the method being published in England. To the writer's knowledge, nothing has been published in this country on the Polar solution. The procedure and nomenclature used in the English publications are confusing to the designer in this country, particularly for the continuous beam-columns, where the Berry functions are used, rather than the Precise functions with which the American designer is quite familiar. The Polar method is adaptable to a wide variation of loading conditions, to cases involving changes in moment of inertia between supports, and to numerous special beam-column problems which arise in airplane design, several of which are not amenable to accurate solution by any other practical method. It permits of a step by step check of graphical against analytical solution for all but the most complex loading conditions. The thesis sets forth the method of solution, by means of the polar diagram, for numerous conditions of loading, and for cases involving change in moment of inertia between supports. Formulae are derived, by means of which the bending moment and shear at any point in the span may be found, for a number of conditions of loading. Formulae are also given by means of which the maximum moment and maximum shear are readily determined for these cases. In the case of continuous beam-columns, the three-moment equation is derived, incorporating the Precise functions, which are readily available to the engineer in this country.
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  • description.provenance : Approved for entry into archive by Katy Davis(kdscannerosu@gmail.com) on 2014-08-27T20:17:44Z (GMT) No. of bitstreams: 1 JonesWalterRichard1934.pdf: 15577282 bytes, checksum: d52c33d303d3f31b16a4544fdf0c4d0f (MD5)
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  • description.provenance : Approved for entry into archive by Katy Davis(kdscannerosu@gmail.com) on 2014-08-27T20:31:06Z (GMT) No. of bitstreams: 1 JonesWalterRichard1934.pdf: 15577282 bytes, checksum: d52c33d303d3f31b16a4544fdf0c4d0f (MD5)

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