三次元撓角法の座屈問題への拡張

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  • An Extension of the Generalized Slope Deflection Equation Method to Elastic Buckling
  • 3ジゲンドウカクホウ ノ ザクツモンダイ エ ノ カクチョウ

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In analysis of structural frames the effect due to axial force for straight members is usually ignorced for the moment distribution. In this papers this effect is considered for moment distributions in the straight member of uniform corss section with solving usual differential equtions (1-a) and (1-b). Consequently the modified slope deflection coefficients for bending depending upon the intensity of axial force introduced to the generalized slope deflection equations which are reported previously by the author. These coefficents are identical with those represented in several referred papers and are given in Fig. 2, but in which is a new coefficient for end force equations. In equations (1-a) and (1-b), the applied loads are expanded with Fourier sine series which is available to use for various loading cases, then the fixed end moments and fixed end forces are also expressed with modified coefficients. The procedure of analysis is nearly the same as mentioned before by the author. The result can be optained with the successive approximation if the determinant of the stiffness matrix is not zero. When the determinant becomes zero which yield critical values for buckling. In view of engineering the lowest one is practically important. Examples in Fig. 6 and 7 are given to illustrate a feature of analysis in braced frames.

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