Analytical approach for membrane action in laterally-restrained reinforced concrete square slabs under uniformly distributed loads

Abstract

Laterally-restrained reinforced concrete slabs can mobilise compressive membrane action and subsequent tensile membrane action under extreme loading conditions, thereby enhancing the load resistance under uniformly distributed loads. Previous analytical study focuses primarily on tensile membrane action in simply-supported slabs. This paper describes an analytical approach for membrane action in laterally-restrained square slabs. In the model, a yield line pattern is presumed for slabs, and the whole slab is divided into a strip system in the orthogonal directions. Each strip is analysed by establishing compatibility and equilibrium. The model is validated against test data of reinforced concrete square slabs, and reasonably good agreement is obtained in terms of the load capacity. The distributions of membrane force, bending moment and neutral axis depth along yield lines are also obtained through the analytical approach, and propagation of the tension zone from the centre towards the edge of slabs is also demonstrated by using the contour of membrane forces in the slab. Contributions of bending moment and membrane force to the load resistance of slabs are quantified by decomposing the total resistance according to equilibrium. The contribution of each slab strip is also quantified to gain insight on the distribution of resistance in the whole slab. Finally, a design method is proposed to calculate the capacity of compressive membrane action in square slabs.