Weight optimum arch structures
McDavid, Charles Scott
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This investigation is concerned with minimum weight designs of arch structures. Using the finite element method, the arch is modeled by contiguous bar-beam elements. Element stiffness coefficients in terms of local degrees of freedom are related to system degrees of freedom through local to global coordinate transformations. After coordinate transformations, element stiffness coefficients are assembled into FEM stiffness equations for the arch structure. An objective function for weight minimization, with constraints on failure, arch geometry, and section dimensions, is minimized by the DOT optimization code. Results are presented for a number of cases.
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