Impact of falling debris on reinforced concrete slab

Abstract

The work is devoted to the analysis of one of the possible limit states, for which the scenario is the collapse of the floor over a remote column, as a result of which a general collapse of the rancake-type collapse occurs. An approximate method of assessing the progressive collapse of a reinforced concrete floor slab of a multi-story building, which will receive an impact from falling fragments of failed structures, is proposed. The technique's underpinning is the dynamic analysis of a simplified module of motion, the form of which is assumed to be similar to that used in the theory of limit equilibrium. It is assumed that the elastic work of the plate has little effect on the final value of the deformation that occurs in the casting in the form of linear plastic hinges. Part of the kinetic energy of the falling debris is transferred to the plate that receives the impact, it is theoretically as in the classical case the completeness of the plastic impact. The resulting differential equation of motion is integrated in a closed form. The use of the proposed technique is demonstrated with the help of an illustrative example.