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analysis angle arch assumed axial load bars beam bending moment diagram bridge cable calculated carries centre centroid column compressive compressive stress concentrated load concrete considered cosec cross-sectional area curve determined displacement distance elastic encastre end couples equilibrium example expressions feet fixed flexural rigidity formula girder gives Hooke's law horizontal influence diagram influence line joint lateral load length load acts load of intensity loads are applied maximum bending method neutral axis obtained parabola paragraph pin-jointed pinned position reactions reactive forces reinforcement respectively resultant actions rigid rotate shear stress shearing force shown in Fig simply supported simultaneous equations skew-symmetrical solution span square inch stanchion statically determinate steel strain energy structure strut Substituting symmetrical Table tensile tensile stress tension coefficients theorem of Castigliano tons per square tons-feet truss uniformly distributed load unit load voussoir Young's modulus zero