Analysis of Reinforced Concrete Columns Subjected to Combined Axial, Flexure, Shear, and Torsional Loads

Abstract

This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent repository link:http://openaccess.city.ac.uk/15537/ Link to published version: http://dx.Abstract This paper describes the implementation of a 3-dimensional concrete constitutive model for fiber-based analysis of reinforced concrete members subjected to combined loadings including torsion. The proposed model is formulated to address the interaction between the axial force, bidirectional shear, biaxial bending, and torsion. The shear mechanism along the beam is modeled using a Timoshenko beam approach with three dimensional (3-D) frame elements with arbitrary cross-section geometry. The model considers the 3D equilibrium, compatibility, and constitutive laws of materials at the section and structural level. The concrete constitutive law follows the Softened Membrane Model (SMM) with a tangent-stiffness formulation. The emphasis of the paper is on evaluation of the effect of the different stress states on the global and local behavior of the member. The ability of the model to assess the ultimate strength, stiffness, energy dissipation, failure modes under 3-dimensional loading is evaluated by correlation of analytical results with experimental tests of RC specimens. 1 Sr. Staff Engr., MMI Engineering Inc, Houston, TX 77077; formerly, Grad. Student,

3D Fiber‐Based Frame Element with Multiaxial Stress Interaction for RC Structures

“…A 3D orthotropic smeared crack material model is formulated for cracked reinforced concrete, which represents an extension of the 2D model presented in [23] for membrane elements. A similar approach was also adopted in [17,24]. e model is formulated in the material directions ( Figure 4), which are coincident with the crack directions determined at first cracking as…”

“…e cross section was subdivided into three regions based on the dominant stress conditions: 1D, 2D, and 3D, where the corresponding constitutive models were applied. Mullapudi and Ayoub [17] formulated a 3D flexibility-based fiber element using the FA-STM. e beam kinematics was based on the Timoshenko beam theory in conjunction with the Coulomb torsion, that is, no warping was considered.…”

An Exact Shear Strain Approach for Rc Frame Elements With Axial-Shear Interaction

“…The Timoshenko beam theory provides a kinematic link between shear strains and transverse displacements of the beam axis. Hence, multi-axial constitutive models can be used at each individual fiber resulting in full axial-shear coupling [7,8,9,10,11,12,13]. However, the theory predicts a constant shear strain profile over the section, thus violating inter-fiber equilibrium.…”

Modelling of Stirrup Confinement Effects in RC Layered Beam Finite Elements Using a 3D Yield Criterion and Transversal Equilibrium Constraints

“…Several contributions addressed the multi-axial behaviour of concrete in the modelling of the structural response of reinforced concrete members with stirrups (Cho and Park 2003;Saritas and Filippou 2009;Garzón-Roca et al 2012). Other existing formulations proposed in Petrangeli et al (1999), Mullapudi and Ayoub (2010), Stramandinoli and Rovere (2012), Mullapudi and Ayoub (2013) used layered (2D)/fibre (3D) beam models. These works focused on the incorporation of shear deformation, and used a force-based approach with the softened membrane model Ayoub 2010, 2013) or modified compression field theory (Stramandinoli and Rovere 2012).…”

“…These works focused on the incorporation of shear deformation, and used a force-based approach with the softened membrane model Ayoub 2010, 2013) or modified compression field theory (Stramandinoli and Rovere 2012). In Petrangeli et al (1999), Mullapudi and Ayoub (2010), Stramandinoli and Rovere (2012) a biaxial stress state was assumed for concrete in beam elements for planar frames with a single transversal equilibrium condition, while (Mullapudi and Ayoub 2013) takes the triaxial stress state into account in a 3D formulation.…”