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＜紀要論文＞
ON A METHOD OF SOLVING TORSION AND BENDING PROBLEMS OF CONTINUOUS PANEL STRUCTURES: 2ND REPORT
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| 概要 | In the 1st report we have treated the general solution of the torsion and bending problems of continuous panel structures under transverse forces, twisting and bending moments, the members of which cr...oss each other perpendicularly and distributions of the external forces acting on the members are quite arbitrary and positions of the supported bars are also arbitrary. In the present report, we extend the method described in the 1st report to the problems of the structures, the members of which cross each other with angles different from rectangle. That is to say, the rotating angle being regarded as a vector as well known when the value of its angle is small, we can decompose the unknowns, say the twisting and bending moments and the rotating angles occurring at the intersecting points of the members, to the two directions of rectangular axes respectively, the directions of which we take in the directions of the axis of the member and the perpendicular to the member at the each point. By doing so, as to the decomposed quantities stated above, we can treat in the same manner as the method described in the 1st report. Thereupon, similarly as in the previous report, we induce also the simultaneous equations of the first degree referring to the inclinations and deflections at the intersecting points of the members, the number of which is the same as that of the unknown quantities. The simultaneous equations of this type can always be solved by means of the iteration methods practically and, moreover, using these quantities obtained above, all the unknowns in the present problems can be easily found from the formulae of bending as well known in the 1st report.続きを見る |
| 目次 | 1. Introduction. 2. Notations. 3. Formulae of Bending. 4. Fundamental principle of the theory. 5. Conclusion. |
詳細
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| 登録日 | 2023.11.21 |
| 更新日 | 2023.11.22 |