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anchor arm anchorage arch assumed bascule bascule bridge bearing Beaver Bridge bottom chord cable calculated cantilever arm cantilever bridges cent center of gravity chord members columns computed concrete construction continuous bridge counterweight dead load deck deflection determined distance elastic curve equations equilibrium polygon erection eyebars falsework fixed forces formula frame gear girder given hinge horizontal influence diagram influence line kip-ft kips lateral system leaf length lift span live load load stress machinery main span method obtained operation ordinates panel load panel point pier pinion plate position redundant residual frame River rollers Sciotoville Bridge shaft sheaves shown in Fig side spans simple spans statically statically determinate steel stiffening truss strand stringers structure suspended span suspension bridge swing bridge temperature tension three-hinged top chord tower trunnion uniform load unit load values vertical lift bridges weight wind load wire