EFFECTIVE STIFFNESS MODEL FOR REINFORCED CONCRETE SLABS

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EFFECTIVE STIFFNESS MODEL FOR REINFORCED CONCRETE SLABS

By Maria Anna Polakl

ABSTRACT: A simple procedure for calculating deflections of reinforced concrete two-way slabs is presented

in this paper. The material model for reinforced concrete based on the effective stiffness approach has been

implemented in a finite-element program incorporating Mindlin-plate-bending elements. Uncracked concrete is

treated as an isotropic linear elastic material, and after cracking, the concrete is considered to be an orthotropic

material. The reduced stiffness coefficients after cracking are calculated from the effective moments of inertia

in the x- and y-directions. These effective moments of inertia are determined using the formula proposed by

Branson (1963). The influence of both bending and torsional moments is included in the formulation. The

proposed model has been verified by comparisons with results from tests on slabs with various loading and

boundary conditions. A study has also been undertaken to check the sensitivity of the proposed formulation

when applied to the analysis of slabs with different reinforcement ratios, boundary conditions, and reinforcement

orientations.

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