Explicit Expression of the Internal Forces in a Structure as a Function of the Element Stiffnesses


This research was performed at the School of Mechanical Engineering , Tel Aviv University by Moshe Fuchs. A major obstacle in the design of structures is the need for multiple reanalysis of the structure. Indeed, when the geometry of the structures or the stiffnesses of its elements are modified one has to reanalyze the structure in its new configuration in order to assess its stresses and displacements. This is the reason for the development of reanalysis techniques or for approximate explicit expressions for the internal forces and displacements in terms of the design variables. When the design variables are the cross-sectional characteristics of truss and frame structures, this author has found the exact explicit expressions for the internal forces in these structures in terms of the design variables. These exact equations are rather interesting, however difficult to implement, due to the large number of terms involved.

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Last modified by Moshe Fuchs on June 19, 1997.