Determination of the Breaking Load for Concrete Slabs Based on the Deformation Theory of Plasticity

Abstract

The paper proposes a technique of determining the maximum critical load for concrete slabs based on the deformation theory of plasticity by G.A. Geniev. To solve the problem the method of successive loading is used. Physically nonlinear problem is reduced to successive solution of elastic problems for the construction with a variable elasticity modulus and Poisson's ratio within height. In deriving equations, we take in account cracking in the tension zone of concrete, creep of concrete and nonlinear behavior of steel reinforcement. The work of steel is described by the Prandtl diagram. For the tensile zone, we use Mohr's failure criterion. We perform the solution numerically using the finite difference method. The problem reduces to the fourth-order differential equation for the deflection. We compare our results with the experimental data for square plate, hinged on the contour and uniformly loaded.