等分布荷重を受ける周辺固定三角形スラブに生じる最大応力と最大たわみの算定式

概要

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The purpose of this study is to propose the calculation formula for allowable stress for structural design of any shape slab, and this paper presents the calculation formula of triangle planed slab with fixed edges subjected to uniform load as an example. In triangle slab, formulation of the strict solution in analytical method is difficult. Some shapes (an isosceles triangle and an equilateral triangle) could be solved according to the finite difference method. As for arbitrary shape, the deflection equation was calculated by the virtual working method. But the assumption of the virtual deflection mode for calculating is incorrect. So, this paper proposes simple calculation formulas give FEM solutions. Firstly, construction of variables that the equation should have was clarified. Secondly, parameters for variables are calculated in the least squares method so that the formulas give the values calculated by FEM. And the zoning for the proposed equations are described. Finally, the validity of the equations is clarified.
一般社団法人日本建築学会の論文
2011-03-25