The toppling of hanging beams

This paper considers the behaviour of beams hanging from cables. If heavy, these beams can topple sideways in a mode which can be idealised as a rigid body rotation, combined with a minor axis deflection. This simplification allows an analytical treatment of the toppling mode, which in turn allows a stability analysis of heavy beams, such as prestressed precast concrete br idge beams. A detailed analysis is presented for beams with inclined or ver tical cables, with inclined or vertical lifting yokes, with lateral loads ( as from wind or inertia effects), and with initial imperfections. Examples are given of the various effects that can be analysed in this way, and the validity of the initial assumption, about rotation without variation in twi st, is checked. It is shown that this type of analysis is particularly suit ed to concrete beams. (C) 2000 Elsevier Science Ltd. All rights reserved.