静定立体トラスシェルの差分法による解法 : 立体トラスの差分法による解法・その3

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書誌事項

タイトル別名
  • THE SOLUTION OF THE STATICALLY DETERMINATE SPACED TRUSSED SHELL BY DIFFERENCE EQUATION : An Analysis of Spaced Trusses by Difference Equation, No.3
  • 静定立体トラスシェルの差分法による解法
  • セイ テイリッタイ トラスシェル ノ サブンホウ ニ ヨル カイホウ

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抄録

In the preceding theses, reference was made to the study of the statically determinate spaced folded truss by Difference Equation, but this time it is devoted primarily to the study regarding the solution and its results by calculation on the statically determinate spaced trussed shell, which is composed of cylindrical trussed members having triangular frames of two kinds. The prevailing methods of computing shell by Difference Equation are often made by converting differential equation to a form of difference with simplified calculation method. The method which has been developed by us takes different approach. An analysis has been made at first to obtain correlation between external force and stress of each trussed cord by choosing the stress of spaced trussed cords as unknown quantities and then establishing the condition of eqnilibrium at every intersecting points of the trussed members thereof. After the correlations between external force and stress are known, the solution are derived from these equational correlations in a form of difference by conversion. To confirm the result of the equation, calculations have been made to several examples, establishing various boundry conditions, and the stress resultants were found to be relatively small. From this, a finding of study is that this spaced trussed shell can be designed practically and it can also be used as the frame economically. It must, however, be emphasized, in conclusion, that a careful consideration should be given when deciding the form of the spaced truss, because concentration of stress occurs in a certain boundry condition.

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