Abstract
Τwo new documented non-linear static (pushover) procedures on asymmetric single-storey R/C buildings are presented in detail herein, aiming directly at the Near Collapse state. Both procedures apply relative to the “Capable Near Collapse Principal reference system” of the single-storey building. The main objective of the two proposed procedures is to fully consider the coupling between torsional and translational vibrations of the floor-diaphragm under translational seismic excitation of the building’s base. The first pushover procedure, which is a Direct Displacement-Based one, uses floor enforced-displacements as action. In the second pushover procedure, which is a Force-Based one, the floor lateral static forces are applied eccentrically to centre of mass using suitable inelastic design eccentricities (dynamic plus accidental ones). The floor enforced-translations/rotation and the appropriate inelastic dynamic eccentricities used in the two proposed procedures derive from extensive parametric non-linear response history analysis and are given by figures or equations. In order to clarify in detail and evaluate the new pushover procedures, a torsionally-flexible, double-asymmetric, single-storey R/C building is seismically assessed. The validation of both procedures relative to the results of non-linear response history analysis shows that both predict with safety the in-plan displacements of the building.
Highlights
The main method for the seismic assessment of an R/C building is the non-linear static method of analysis
According to the proposed Forced-Based procedure, both in recent work [3,4,5,6,7] and the current one, where a numerical example is presented, the abovementioned dynamic eccentricity is treated in a direct way, as in other proposed methods [8,9,10]. Both proposed pushovers are applied with reference to the “Capable Near Collapse Principal system CRsec(Isec, IIsec, IIIsec)”, which is an ideal 3D inelastic principal system at the NC state, where its origin coincides with the inelastic centre of stiffness CRsec and the two orthogonal horizontal axes coincide with the inelastic principal axes Isec and IIsec of the single-storey building, where all its structural members have been provided with their secant stiffness EIsec at yield
2) The most appropriate point that must be the origin for measuring the new inelastic dynamic eccentricities of the proposed Forced-Based pushover procedure is the “Capable Near Collapse Centre of Stiffness” CRsec resulting from the above model of conclusion (1)
Summary
The main method for the seismic assessment of an R/C building is the non-linear static (pushover) method of analysis. According to the proposed Forced-Based procedure, both in recent work [3,4,5,6,7] and the current one, where a numerical example is presented, the abovementioned dynamic eccentricity is treated in a direct way, as in other proposed methods [8,9,10] Both proposed pushovers are applied with reference to the “Capable Near Collapse Principal system CRsec(Isec, IIsec, IIIsec)”, which is an ideal 3D inelastic principal system at the NC state, where its origin coincides with the inelastic centre of stiffness CRsec and the two orthogonal horizontal axes coincide with the inelastic principal axes Isec and IIsec of the single-storey building, where all its structural members have been provided with their secant stiffness EIsec at yield. This is the threefold objective of the present paper, where the theoretical analysis has been given in Bakalis & Makarios [3]
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