The Methodology for Calculating Deflections of Statically Indeterminate Reinforced Concrete Beams (Based on Nonlinear Deformation Model)

The paper presents an advanced methodology for calculating deflections of statically indeterminate reinforced concrete curved beams with allowance for discrete cracking. The theoretical approach based on the basic principles of nonlinear deformation model and takes into account nonlinear concrete and reinforcement behavior. The methodology for calculating deflections of statically indeterminate curved reinforced concrete beams introduced as a computational algorithm worked out based on “MathCAD-15” computer system. The numerical modelling of indeterminate curved reinforced concrete beams exposed to short duration uniform loading shown as a finite element model in PC “LIRA-SAPR 2014”. Taking into account the results of their theoretical research the authors compare calculation data based on the existing domestic and foreign specification documents with the numerical experiment based upon the authors' own method. The suggested method can be successfully used for calculation of deflections both of statically indeterminate reinforced curved structures made of ultra-high strength concrete (HSC and HPC types) and of normal or over-reinforced structures.