Non linear Response of RC Frame Considering PVM Interaction and Design Amplification Factors for Open Ground Storey Structure

Abstract

The extent of damage in a structure can be estimated numerically using Nonlinear analysis (NA). newlineOn the basis of the applied forces, NA can further be classified as Static Non-linear (Pushover newlineAnalysis) and Dynamic Non-linear (Time History Analysis). The response of a structure can be newlinepredicted effectively using Non-linear analysis, provided adequate assumptions are made. The newlineefficacy of Non-linear analysis depends on the accurate assumptions pertaining to types, locations newlineand pattern of non-linear hinges. Various hinge definitions that are generally used for NA of a newlinestructure includes Axial, Shear, Flexural or Torsional force-deformation relationships. However, newlinethese force-deformations are seldom mutually exclusive, and can be coupled to achieve a better newlinenumerical simulation of actual behaviour, and failure mechanism. The most common combination newlineof hinge definition applied for NA of 2D frames is P-M2 hinges (P-M2-M3 in case of Space newlineFrames). newlineAs per the literature, the three most common modes of failure in low and medium rise structures newlineare Shear failure, Flexural failure, and a combination thereof. This observation emphasizes the newlineneed to consider the combination of shear and flexural hinge definitions during analysis, to better newlineestimate the behaviour and effectively predict the failure pattern of a structure. The literature also newlinesuggests an inversely proportional relationship between the shear and moment capacity of a section newlinebeyond first yield. The prevalent practice in a typical design office requires an engineer to define newlinea flexural hinge (in terms of moment-rotation/curvature relationship) for a section, and assigning newlinea value for ultimate shear strength causing brittle failure, and thereby neglecting the effect of shear newlineon the non-linear behaviour of the section. These observations form the primary objective of the newlinework presented here, which is to develop a Shear-Moment interaction behaviour for a Reinforced newlineConcrete (RC) section. newlineAmong the commonly constructed RC structures, Open Ground Storey (OGS