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Shear and Bending Moment
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angle assumed axial force axis behavior bending bending-moment curves bridge buckling cable Castigliano's second theorem chord column compression computed concentrated load condition considered construction cross section dead load deflection of point deformation developed diagram discussion displacement elastic curve end moments equal equations of static example Figure force in bar force polygon forces acting frame funicular polygon girder Hence hinge influence line involved kip-ft kips per sq line of action live load load applied manner method of virtual obtained ordinates panel load panel point planar plane plastic plate point of inflection portion position primary structure Problem procedure Q forces redundants resultant rigid rotation shear stress shown in Fig slope solution span static equilibrium statically determinate statically indeterminate structures strain stress analysis stress intensities struc structural engineering structure of Fig tension tion transverse unit load vector vertical component vertical deflection zero