撓角法形式による骨組の弾塑性解析法とその応用(その1)

抄録

In this paper the writer first, basing on the M-1/9 diagrams of the reinforced concrete members, inducts a general equation of the member causing elastic and plastic deformations under external forces in the system of the slope-deflection method. And using this equation, the elastic and plastic analysis of rigid frames is discussed by the similar process as the slope-deflection method and the application is represented. The points that the elastic and plastic analysis of rigid frames mentioned above differs from the usual slope-deflection method are as follows. (1) The number of unknown quantities, such as the rotation angles of panel joint and of independent member in this analysis, is influenced not only the shape of the rigid-frame but also the shape and magnitude of the external forces acted on it, and this analysis generally has more unknown quantity than the slope-deflection method for the analysis of elastic rigid-frames. (2) The situation and length of plastic parts caused the members of the rigid-frame under a certain external force accurately can not be known in the beginning of this analysis. Basing on, therefore, the elastic analysis etc of the rigid frame, the situation and length of the plastic parts of the members suitably are assumed and we must do repeating calculation until they are satisfied the necessary conditions of bending moment to the elastic and plastic member. And the collapse load of a rigid-frame and the situation and number of the plastic hinge in it are obtained by the principle of limit analysis, then its deformation and displacement comparatively are obtained without difficulty by the application of this analysis.