Analysis of Reinforced Concrete Deep Beams Using Nonlinear Strain Model

Abstract

A nonlinear strain compatibility model is considered to investigate the behavior of reinforced concrete deep beams. It is based on satisfying equilibrium of stresses and compatibility of strains at all layers of the beam cross-section. A VISUAL BASIC code is developed for this model. Strain distribution over the cross section depth in deep beams is different from shallow beams, and varies according to the case of loading, the span-to-depth ratio (L/h), and the structural system. The experimental values of strain over the cross-section depth for different cases for simply supported deep beams, are extracted from the available literature. Based on these values, simplified equations for strain profiles for each case is proposed to use them in the present model. A key feature of the model is the ability to illustrate the effect of shear deformation of the cross section. The model is validated by comparing predicted results with experimental ones from literature in terms of load-displacement.amounts of tension reinforcing steel are considered [3]. The stress and strain distribution along the deep beam depth are different from that in RC shallow beams.

Experimental and Numerical Study of the Strength Performance of Deep Beams with Perforated Thin Mild Steel Plates as Shear Reinforcement

“…The high yield deformed steel bar was modelled in T3D2 (2-mode linear 3-D truss) whereas the mild steel plate and loading plate at support were modelled in C3D8R elements (8-node linear bricks with reduced integration). The stress-strain relation of both the high yield deformed steel bar and the mild steel plate were modelled in an elastic-perfectly plastic model with a gentle slope, as adopted by Abdel-Nasser et al [29]. Table 6 summarizes the properties of the steel reinforcement used in the numerical simulation work.…”