Joint Translation by Cantilever Moment Distribution

Abstract

The method of moment distribution of Hardy Cross, Hon. M. ASCE, has solved the problem of joint rotation in continuous structures in a simple manner. Joint translation (or sidelurch), however, has had to be dealt with in an indirect manner. The methods of correcting for sidesway include (1) an independent distribution of moments corresponding to each degree of freedom for translation, with interrelationships established by the solution of a number of simultaneous equations equal to the number of the degrees of freedom, (2) a sequence of partial sidesways, with joints restrained against rotation, which converge to the actual sidesway and form a series of corrections to the process of moment distribution, and (3) a reversed technique by which the computed or estimated moveìie11ts of the joints that accompany sidelurch are used to determine the fixed-end moments for distribution. The method last mentioned has been effective in solving the problem of wind-stress analysis for tall buildings.