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Theoretically optimal forms for very long span bridges under gravity loading

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Figure

Figure 1. Approximate shape of an equally stressed element AB in compression.
Figure 2. Forces acting on an ininitesimal slice of a vertical, equally stressed element.
Figure 3. Procedure employed to identify optimal (minimum volume) bridge structures. Steps (active nodes using geometry optimization
Table 1. Numerical volumes (×wL2/σ0) for various bridge spans and nodal resolutions.
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