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Introduction of Arches reduces the bending moment at cross sections due to presence of horizontal force at the support whenever bridge is loaded and thus requirement of cross section is lesser. When triangles are easy to propagate and can have tension/compression only if used as 2-point member in bridges (forces acts only the end of any member not in between), Due to absence of bending moment it also reduces the cross-section requirement. Therefore, if we introduce arches and triangles cross section requirements of each small member get reduced.

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