Evaluation of Elastic Deflections and Bending Moments for Orthotopically Reinforced Concrete Rectangular Slabs Supported on Three Edges Only and Subjected to Triangular Load

Abstract

This paper deals with the evaluation of the elastic deflections and bending moments for orthotropically reinforced concrete rectangular slabs supported on three variously restrained edges with the fourth edge free and subjected to triangular load covering the slab full area. Six cases are considered for such slabs to cover all possible restraining conditions at the three supported edges. Based on the finite difference approach, equations are derived to calculate the maximum values of the positive and negative bending moments as well as the maximum deflection in any of these six slab cases caused by the applied triangular load.