Effectiveness of Design Procedures in Counteracting Second Order Effects in Steel Moment Resisting Frames

The seismic response of structures is always influenced by second order (<i>P</i>–Δ) effects. The importance of these effects becomes significant when the structure experiences large plastic deformations. Seismic codes indicate that <i>P</i>–Δ effects may be counteracted by m...

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Main Authors: Francesca Barbagallo, Melina Bosco, Andrea Floridia, Edoardo M. Marino, Pier Paolo Rossi
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Metals
Subjects:
Online Access:https://www.mdpi.com/2075-4701/13/2/321
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author Francesca Barbagallo
Melina Bosco
Andrea Floridia
Edoardo M. Marino
Pier Paolo Rossi
author_facet Francesca Barbagallo
Melina Bosco
Andrea Floridia
Edoardo M. Marino
Pier Paolo Rossi
author_sort Francesca Barbagallo
collection DOAJ
description The seismic response of structures is always influenced by second order (<i>P</i>–Δ) effects. The importance of these effects becomes significant when the structure experiences large plastic deformations. Seismic codes indicate that <i>P</i>–Δ effects may be counteracted by means of an increase of the lateral strength required by a first order analysis, but the expressions of the Strength Amplification Factor (SAF) given in codes are often criticized by researchers. This paper proposes and validates a formulation of the SAF for Moment Resisting Frames (MRFs), which is a generalization of that derived in the past by some of the authors based on the response of SDOF systems. To this end, in a first stage of the research a set of steel MRFs is designed and analyzed neglecting <i>P</i>–Δ effects. The seismic response is determined by nonlinear static and incremental dynamic analyses and the mean annual frequency of exceedance of the Significant Damage (SD) and Near Collapse (NC) limit states is computed. In a second stage, each structure is re-designed and analyzed considering <i>P</i>–Δ effects. <i>P</i>–Δ effects are counteracted in design according to provisions of European, American and Canadian seismic codes or according to other formulations proposed in literature, such as that proposed by Bernal and that proposed by the authors. The accuracy of the design provisions accounting for <i>P</i>–Δ effects is determined by comparing the response of the structures designed in the first and in the second stages.
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spelling doaj.art-5277fac9b4b54eeb9ddc105de5936fab2023-11-16T22:07:42ZengMDPI AGMetals2075-47012023-02-0113232110.3390/met13020321Effectiveness of Design Procedures in Counteracting Second Order Effects in Steel Moment Resisting FramesFrancesca Barbagallo0Melina Bosco1Andrea Floridia2Edoardo M. Marino3Pier Paolo Rossi4Department of Civil Engineering and Architecture, University of Catania, 95100 Catania, ItalyDepartment of Civil Engineering and Architecture, University of Catania, 95100 Catania, ItalyDepartment of Civil Engineering and Architecture, University of Catania, 95100 Catania, ItalyDepartment of Civil Engineering and Architecture, University of Catania, 95100 Catania, ItalyDepartment of Civil Engineering and Architecture, University of Catania, 95100 Catania, ItalyThe seismic response of structures is always influenced by second order (<i>P</i>–Δ) effects. The importance of these effects becomes significant when the structure experiences large plastic deformations. Seismic codes indicate that <i>P</i>–Δ effects may be counteracted by means of an increase of the lateral strength required by a first order analysis, but the expressions of the Strength Amplification Factor (SAF) given in codes are often criticized by researchers. This paper proposes and validates a formulation of the SAF for Moment Resisting Frames (MRFs), which is a generalization of that derived in the past by some of the authors based on the response of SDOF systems. To this end, in a first stage of the research a set of steel MRFs is designed and analyzed neglecting <i>P</i>–Δ effects. The seismic response is determined by nonlinear static and incremental dynamic analyses and the mean annual frequency of exceedance of the Significant Damage (SD) and Near Collapse (NC) limit states is computed. In a second stage, each structure is re-designed and analyzed considering <i>P</i>–Δ effects. <i>P</i>–Δ effects are counteracted in design according to provisions of European, American and Canadian seismic codes or according to other formulations proposed in literature, such as that proposed by Bernal and that proposed by the authors. The accuracy of the design provisions accounting for <i>P</i>–Δ effects is determined by comparing the response of the structures designed in the first and in the second stages.https://www.mdpi.com/2075-4701/13/2/321second order effectsseismic codesnonlinear analyses
spellingShingle Francesca Barbagallo
Melina Bosco
Andrea Floridia
Edoardo M. Marino
Pier Paolo Rossi
Effectiveness of Design Procedures in Counteracting Second Order Effects in Steel Moment Resisting Frames
Metals
second order effects
seismic codes
nonlinear analyses
title Effectiveness of Design Procedures in Counteracting Second Order Effects in Steel Moment Resisting Frames
title_full Effectiveness of Design Procedures in Counteracting Second Order Effects in Steel Moment Resisting Frames
title_fullStr Effectiveness of Design Procedures in Counteracting Second Order Effects in Steel Moment Resisting Frames
title_full_unstemmed Effectiveness of Design Procedures in Counteracting Second Order Effects in Steel Moment Resisting Frames
title_short Effectiveness of Design Procedures in Counteracting Second Order Effects in Steel Moment Resisting Frames
title_sort effectiveness of design procedures in counteracting second order effects in steel moment resisting frames
topic second order effects
seismic codes
nonlinear analyses
url https://www.mdpi.com/2075-4701/13/2/321
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