Analytical study of the proposed Grid Theory model with elastic supports using numerical models for stress analysis

Abstract

There are several calculation methods to determine the stresses in reinforced concrete slabs. However, the most precise techniques require solving differential equations, which can be difficult to apply in practice. On the other hand, practical calculation methods use simplifications in the equations to make them more feasible. One of these simplifications is the adoption of rigid supports for the calculation of reactions and displacements, which is commonly used. However, this assumption does not reflect the reality in design practice, as the beams that serve as support for the slab undergo deformations, presenting in many cases significant displacements that must be considered in the calculation. In this context, this article proposes a new approach to the Grid Theory that takes into account the flexibility of slab supports for moment and displacement calculation. To evaluate the effectiveness of this new approach, 16 analyses were carried out on two numerical models with rigid and flexible beams, resulting in proof that the proposed model showed good agreement in the obtained results.