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<p>This study introduces a Modified Performance-Based Plastic Design (MPBPD) method to enhance the seismic performance of reinforced concrete special moment-resisting frames. Conventional Force-Based Design (FBD) and Performance-Based Plastic Design (PBPD) approaches often underestimate seismic demands due to the neglect of post-yield stiffness. The proposed MPBPD framework explicitly incorporates the post-yield stiffness ratio (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({Rt}_{o}\)</EquationSource> </InlineEquation>) into the energy modification factor (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\Upsilon }_{o})\)</EquationSource> </InlineEquation>, enabling a more realistic representation of inelastic structural response. A comparative investigation is carried out on 6- and 12-storey RC frames designed using FBD, PBPD, and MPBPD through nonlinear static pushover analysis, nonlinear time history analysis, and incremental dynamic analysis. The results show that MPBPD significantly enhances structural capacity, achieving up to 1.77 and 1.47 times higher base shear than FBD for 6- and 12-storey frames, respectively, while maintaining performance points within the Collapse Prevention limit under maximum considered earthquake conditions. Incremental dynamic analysis indicates that MPBPD reduces the median maximum inter-storey drift by approximately 19.5% and substantially lowers the number of ground motions exceeding the 2% drift threshold compared to FBD and PBPD. Probabilistic fragility analysis further demonstrates improved seismic reliability, with Immediate Occupancy and Collapse Prevention states attained at median spectral accelerations of 1.46 g and 5.11 g, respectively. Overall, the MPBPD method provides more uniform drift distribution, reduced seismic vulnerability, and enhanced reliability, highlighting the importance of explicitly accounting for post-yield stiffness in performance-based seismic design of RC frames.</p>

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A comparative study of modified performance based plastic design methods for seismic design of RC frames: improvement over existing methods

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月4日

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  • Rohit Vyas,
  • Rajneesh Sharma,
  • Venkata Vamsi Emani,
  • Ahmad Batah,
  • Anoop I. Shirkol,
  • Kaushik Gondaliya,
  • Abdullah Ansari,
  • Ayed E. Alluqmani,
  • Pranjal Mandhaniya,
  • Varsha Rani,
  • Bush Rc

摘要

This study introduces a Modified Performance-Based Plastic Design (MPBPD) method to enhance the seismic performance of reinforced concrete special moment-resisting frames. Conventional Force-Based Design (FBD) and Performance-Based Plastic Design (PBPD) approaches often underestimate seismic demands due to the neglect of post-yield stiffness. The proposed MPBPD framework explicitly incorporates the post-yield stiffness ratio ( \({Rt}_{o}\) ) into the energy modification factor ( \({\Upsilon }_{o})\) , enabling a more realistic representation of inelastic structural response. A comparative investigation is carried out on 6- and 12-storey RC frames designed using FBD, PBPD, and MPBPD through nonlinear static pushover analysis, nonlinear time history analysis, and incremental dynamic analysis. The results show that MPBPD significantly enhances structural capacity, achieving up to 1.77 and 1.47 times higher base shear than FBD for 6- and 12-storey frames, respectively, while maintaining performance points within the Collapse Prevention limit under maximum considered earthquake conditions. Incremental dynamic analysis indicates that MPBPD reduces the median maximum inter-storey drift by approximately 19.5% and substantially lowers the number of ground motions exceeding the 2% drift threshold compared to FBD and PBPD. Probabilistic fragility analysis further demonstrates improved seismic reliability, with Immediate Occupancy and Collapse Prevention states attained at median spectral accelerations of 1.46 g and 5.11 g, respectively. Overall, the MPBPD method provides more uniform drift distribution, reduced seismic vulnerability, and enhanced reliability, highlighting the importance of explicitly accounting for post-yield stiffness in performance-based seismic design of RC frames.