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The Principle of Consistent Distortions
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acting analogous column analysis angle changes angular approximate arch assumed axes axis base structure beam of Fig bending cable cantilever carry-over factor centroid Chapter computed conjugate beam consider constant construction continuous beam continuous girder dead load deflection curve deflection due deformation Determine the end distortions distribution dummy loading dummy unit loading elastic center elastic equations elastic loads elastic weights end moments equilibrium expressed mathematically expression figure fixed-end moments ft-kips gives hinged horizontal inertia influence line joint kips live load M/EI diagram midspan moments and reactions noted obtained problem radian redundant forces relative rotation secondary stresses shear shearing stress shown in Fig side spans sign convention simple beam simply supported slope-deflection equations solution statically indeterminate structure stiffening truss stiffness structure in Fig Substituting summation suspension bridge symmetrical Table temperature theory three-span unity values vertical deflection vertical displacement whence