Abstract
Optimality criteria for minimum volume design are derived for a class of arch-networks comprising of pin-supported arches contained in vertical planes. The supports lie in a horizontal plane and the loads are applied vertically. It is assumed that the arches transmit loads by axial compression and the interaction among arches at intersections is by vertical reactions. It is shown that in the optimal arch-network, the centroids of all arches lie on a single surface and each individual arch is of an optimal form. An iterative numerical procedure to obtain the optimal solution for a given layout plan of arches and the loading on it is presented. Two examples are provided for the purpose of illustration.
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