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accompanying illustration analysis analyzed applied assumed axial stresses beam of Fig beam shown bridges calculations cantilever carry-over cause center line clockwise components of stress compression concentrated load conjugate beam considered continuous beam contraflexure dead load diagonals distance drawn elastic curve external loads fixed end fixed-end moments force polygon free body girder hinge indeterminate structures interior support intersection left support length line of action live loads M/EI diagram method of joints method of moments moments of inertia obtained ordinates panel points points of inflection positive problem radian reaction components redundant resultant section 1-1 shown in Fig sidesway sign convention simple beam slope and deflection slope deflection Solution space frames span statically determinate stress in member structure shown taking moments tangent tensile stresses tension theorem tion truss members truss of Fig truss shown uniform load unit load unknown values vertical components Williot diagram zero