Summary
The paper is concerned with optimum design of elastic continuous beams of solid crosssection, subjected to static loading. The deflection at a given point, along the beam, is specified. Assuming a rectangular cross-section and taking the thickness as the design variable, the thickness variation is sought as to make the weight of the beam a minimum. In the formulation, an energy concept is used. A numerical example is given for illustration.
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Erbatur, F. On minimum weight design of statically loaded continuous beams with deflection constraints. Acta Mechanica 71, 227–232 (1988). https://doi.org/10.1007/BF01173949
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DOI: https://doi.org/10.1007/BF01173949