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principle of superpositionthe reciprocal theorem
placementsWilliot diagramrotation diagramsrelative dis
Building Frames Subjected to Vertical Loads
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actual algebraic analysis angle applied load arch assumed auxiliary force system axes axial load axial stress axis bending calculated carry-over factors change in length coefficients columns computed concentrated load conjugate beam constant continuous beam continuous frame continuous truss correction cross section dead load deflection determined distribution factors elastic curve end moments end rotations equal to unity Example expressed in terms fixed-end moments flange foot units force F frame in Fig ft-kips funicular girders hinged Hooke's law horizontal displacement inertia influence diagram joint kip per foot live load maximum ments MFab MFba MFbc MFcd moment-distribution method moments in Fig obtained panel Problem procedure reciprocal theorem redundant forces shearing stress shown in Fig simply supported slope-deflection equations solution span bc statically indeterminate strain energy structure substituted Suspension Bridges symmetrical tion uniform load vertical displacement Vierendeel truss Williot diagram