立体トラス曲面板の理論的解析 : その 4 曲面板理論との比較

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I have reported the method for the theoretical stress analysis on space trussed shells. This analytical method consists of taking out the small unit element which constitutes these space trussed shells themselves and setting up the equations of forse equilibrium and compatibility to induce their fundamental differential equations. This present paper is concerned with a comparative study between the theory of space trussed shells and that of plates and shells. It is concluded that if the cross sectional areas of the members of the trussed shell shown in Fig.1, A_x=A_y=√<2>A_p=√<2>A_q and the rididities of the members, I_x=I_y=√<2>I_p=√<2>I_q and the angle between p, q-axes and χ-axes θ=π/4, this space trussed shell is isotropic in both extensional rigidity and flexural rigidity, so that it is replced with the theoretical equations of isotropic shells. Moreover, if the cross sectional areas of the members of the space trussed shell shown in Fig.2, A_x=A_p=A_q and the flexural rigidies of the members, I_χ=I_p=I_q and the angle between p, q-axes and χ-axes θ=π/3, this space trussed shell is also isotropic in bothe extentional rigidity and flexural rigidity, so that it is replaced with the theoretical equations of isotropic shells.
社団法人日本建築学会の論文
1965-06-30