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AASHTO arch ASCE assumed beam shown Bethlehem Steel Corporation bridges building cable calculations cantilevered caused Chapter columns complex trusses component of force compression computed concentrated loads considered dead load diagonals equal equations of statics EXAMPLE external loads factor floor beams frame free body ft 20 ft ft-k girders hinge hydraulic head influence line left support live load load combinations loads applied located M/EI diagram magnitude maximum member forces method of joints obtained OOOE+00 pressure coefficient Problem reaction components result roof scupper section 1-1 shear diagram shown in Figure sign convention simple beam simultaneous equations slope and deflection snow load Solution space truss span specifications stable statically determinate structural analysis structural engineer Table taking moments tension tributary area truss bridges truss members truss of Figure uniform load unit load unknown unstable values vertical components weight wind loads zero