<紀要論文>
ON A METHOD OF SOLVING TORSION AND BENDING PROBLEMS OF CONTINUOUS PANEL STRUCTURES
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概要 | In this report we treat the general solution of the torsion and bending problems of continuous panel structures under transverse forces, twisting, and bending moments, distributions of the external fo...rces acting on the members of the structures and positions of the supported bars being quite arbitrary. The chief topics of the report are as follows: - First, using the Stieltjes integrations with accumulation functions of the external forces acting on a beam, the well-known formulae of the bending are expressed in a new form. Second, we show that, using the formulae stated above, the present problems reduce to the simultaneous equations of the first degree as to the moments and deflections at the intersecting points of the members, and the number of the equations is the same as that of the unknown quantities in the preseut problems. Therefore, the solution of these equations suffices to determine one set of unknown quantities and the problems are solved. Last, we show an applicable type for solving the above equations by means of the iteration methods practically.続きを見る |
目次 | 1. Introduction. 2. Formulae of bending 3. Fundamental principle of the theory. 4. Conclusion. |
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登録日 | 2023.11.07 |
更新日 | 2024.10.22 |