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accompanying illustration analysis analyzed applied assumed axial stresses beam of Fig beam shown bridge calculations cantilever cause center line Chapter chord clockwise components of stress compression computed concentrated load considered continuous beam contraflexure diagonals Draw influence lines drawn external loads fixed end fixed-end moments frame of Fig free body girder indeterminate structures left end line of action live loads M/EI diagram matrix moments of inertia moving obtained plastic analysis plastic hinge points of inflection polygon positive problem procedure reaction components redundant rotation section 1-1 shear shown in Fig sidesway sign convention simple beam simultaneous equations slope and deflection slope deflection Solution solved space frames span statically determinate steel stress in member structure shown tangent tensile stress tension theorem tion truss members truss of Fig truss of Prob truss shown uniform load unit load unknown values vertical components vertical deflection Williot diagram zero