Iterative Solution for Arched Frames Supporting Shells


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Title: Iterative Solution for Arched Frames Supporting Shells

Author(s): Arnold Winokur and Amnon Bloch

Publication: Journal Proceedings

Volume: 63

Issue: 7

Appears on pages(s): 733-742

Keywords: analysis, arched frame, continuous frame, design, frame, gable, shell.

Date: 7/1/1966

Presents an iterative method for the analysis of arched frames (or gables) which support shells. These gables differ from ordinary frames in their curved shape and in the way they receive load from the shells. Every continuous gable can be divided into "elementary" frames, having only one joint which is free to move. The method presented, which analyze the whole frame, makes use of stiffness and carry-over factors, which are easily calculated. The solution is achieved in one operation, in which all moments, as well as all hori-zontal forces produced at the joints, are balanced. As a result there is no need to set up equations for horizontal displacements. This is important because the degree of free-dom for displacement is high with arched frames. Using this method, the real moments and axial forces acting in the continuous gable under various load can be determined, and the eccentricity existing between the shell and gable taken into account.