Determination of the punching cross-section of reinforced concrete flat slabs

Abstract

In this paper, the punching shear resistance of slabs without punching shear reinforcement is investigated. We assumed that the punching shear resistance can be characterized by the shear resistance of the concrete compression zone, and that the load bearing near the column head can be investigated by the theory of bent shallow shells. With these assumptions the punching control perimeter can be calculated. For analyzing the bent shallow shell, the method of the generator function was applied. This method is based on the generalization of the determinants and cofactors of quadratic matrices. We also assumed that the shape of the shell can be approximated by a paraboloid of revolution. We compared the calculated result with the value according to Eurocode 2. The good agreement between these values shows the efficiency of the above-mentioned assumptions.