Lastgruppen法の連続長方形板解決への応用

概要

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Studies on analyses of the continuous rectangular plates have already been reported by E. Bittner, G. Fischer, K. Ginkmann, U. Wegner, S. Woinowsky-Krieger, and some others.　In these studies, they obtain the bending moments as the statically indeterminate forces by using conditions of the deformation of a plate on the slopes. In this paper, however, the group-load method is applied to obtain the solution of the problems on the continuous rectangular plate ; that is, by assuming that each support along the intermediate line on a continuous rectangular plate is composed of an infinite number of point supports, the group-load can be applied to those point supports. A sine function, which is an orthogonality function, is used as this group-load, and the statically indeterminate forces are obtained easily by the elastic equation and then the solution is finally given by the superpose-rule. For example, in the case of an isotropic continuous rectangular plate with two spans, in which all of the edges are simply supported, the influence surfaces of the bending moments are obtained. The results are as follows : (1) The solution is mechanically obtained by this group-load method, which is effective when numerical calculations are made by a digital computer. (2) The calculated values by this group-load method are exactly the same as those values that are obtained by other methods.
北見工業大学の論文