A model for the simultaneous prediction of the flexural and shear deflections of statically determinate and indeterminate reinforced concrete structures

Abstract

The deformability of the major part of reinforced concrete (RC) structures is the result of the flexural and shear deformations mainly caused by bending and shear diagonal cracking, respectively. However, the evaluation of the shear deformation contribution is relatively difficult due to the complexities involving the shear behavior of cracked RC elements. These complexities are even more complicated when structures are statically indeterminate, since the external and internal forces cannot be determined from direct application of the equilibrium equations. To address these issues, this study aims to develop a novel simplified analytical model based on the flexibility (force) method to predict the deflections of statically indeterminate RC structures up to their failure, which can be in bending or in shear. This analytical model considers the influence of flexural cracks on the shear stiffness degradation of an RC structure after concrete cracking initiation, and has a format adjusted for design practice. The good predictive performance of the analytical model is demonstrated by simulating experimental tests with RC elements where shear deformation has different level of contribution for the total deflection registered in these tests.

An Analytical Approach for Evaluating the Impact Response of Steel Fiber Reinforced Concrete Beam

“…As can be seen in the present paper, based on the proposed approach, the minimum energy for the failure of the SFRC beam can be estimated by the properties and the geometry of material, Eqs. (20) and (21). There are several methods for evaluating the accuracy of the model to predict the reaction force of the SFRC beam under impact loading.…”

“…If the initial kinetic energy is less than the critical kinetic energy, the maximum total force depends on the maximum deflection that can be obtained by Eqs. (20) and (21). Clearly, due to the softening behavior of SFRC composite after the peak force, after the peak deflection, the maximum force that the beam has experienced is equal to the peak force (Fig.…”

“…In general, the nonlinear analysis of beams can be conducted with the moment-curvature relationship based on the layered-section approach. In the present study, to determine the moment-curvature relationship of a cross-section, the sectional analysis software DOCROS has been used [21]. The compressive and tensile stress-strain relations of SFRC have been modified for dynamic loading, and they are utilized as a material model in DOCROS.…”

A novel analytical framework for assessing the impact response of SFRC beam

“…10a. In the current study, the sectional analysis software DOCROS [46] is used to determine the M − χ relationship of a cross-section, Fig. 10b.…”

Numerical formulation of confined compressive strength and strain of circular reinforced concrete columns using gene expression programming approach

“…Consequently, the outcome would be regarded as a great combination of experimental studies with numerical methods. Furthermore, such approaches have been successfully applied to many civil engineering prediction problems …”