Yield Frequency Spectra and seismic design of code-compatible RC structures: an illustrative example

illustrative example DTU Orbit (11/11/2019) Yield Frequency Spectra and seismic design of code-compatible RC structures: an illustrative example The seismic design of an 8-story reinforced concrete space frame building is undertaken using a Yield Frequency Spectra (YFS) performance-based approach. YFS offer a visual representation of the entire range of a system’s performance in terms of the mean annual frequency (MAF) of exceeding arbitrary global ductility or displacement levels versus the base shear strength. As such, the YFS framework can establish the required base shear and corresponding first-mode period to satisfy arbitrary performance objectives for any structure that may be approximated by a single-degree-of-freedom system with given yield displacement and capacity curve shape. For the 8-story case study building, deformation checking is the governing limit state. A conventional code-based design was performed using seismic intensities tied to the desired MAF for safety checking. Then, the YFS-based approach was employed to redesign the resulting structure working backwards from the desired MAF of response (rather than intensity) to estimate an appropriate value of seismic intensity for use within a typical engineering design process. For this high-seismicity and high-importance midrise building, a stiffer system with higher base shear strength was thus derived. Moreover, performance assessment via incremental dynamic analysis showed that while the code-design did not meet the required performance objective, the YFS-based redesign needed only pushover analysis results to offer a near-optimal design outcome. The rapid convergence of the method in a single design/analysis iteration emphasized its efficiency and practicability as a design aid for practical application.

[1]  Anastasios Sextos,et al.  Inelastic spectra to predict period elongation of structures under earthquake loading , 2015 .

[2]  Dimitrios Vamvatsikos,et al.  Incremental dynamic analysis , 2002 .

[3]  Theodore L. Karavasilis,et al.  Maximum displacement profiles for the performance based seismic design of plane steel moment resisting frames , 2006 .

[4]  Dimitrios Vamvatsikos,et al.  Performance‐based seismic design via yield frequency spectra‡ , 2016 .

[5]  J. Mander,et al.  Theoretical stress strain model for confined concrete , 1988 .

[6]  Kevin R. Mackie,et al.  Performance‐based seismic bridge design for damage and loss limit states , 2007 .

[7]  Fatemeh Jalayer,et al.  The probabilistic basis for the 2000 SAC/FEMA steel moment frame guidelines , 2002 .

[8]  W. Iwan,et al.  Improvement of Nonlinear Static Seismic Analysis Procedures , 2005 .

[9]  Mjn Priestley,et al.  Performance based seismic design , 2000 .

[10]  Dimitrios Vamvatsikos,et al.  Performance-Based Seismic Design: Avant-Garde and Code-Compatible Approaches , 2016 .

[11]  Nick Gregor,et al.  NGA Project Strong-Motion Database , 2008 .

[12]  Mervyn J. Kowalsky,et al.  Displacement-based seismic design of structures , 2007 .

[13]  Nicolas Luco,et al.  Does amplitude scaling of ground motion records result in biased nonlinear structural drift responses? , 2007 .

[14]  H. Krawinkler,et al.  Estimation of seismic drift demands for frame structures , 2000 .

[15]  Eric M. Lui,et al.  Performance Based Seismic Design , 2015 .

[16]  Curt B. Haselton,et al.  Assessing seismic collapse safety of modern reinforced concrete moment frame buildings , 2006 .

[17]  J. P. Moehle,et al.  Displacement-Based Design of RC Structures Subjected to Earthquakes , 1992 .

[18]  Qiang Xue,et al.  Preliminary detailing for displacement-based seismic design of buildings , 2006 .

[19]  Dimitri E. Beskos,et al.  Seismic yield displacements of plane moment resisting and x-braced steel frames , 2012 .

[21]  Agathoklis Giaralis,et al.  Eurocode-Compliant Seismic Analysis and Design of R/C Buildings: Concepts, Commentary and Worked Examples with Flowcharts , 2015 .

[22]  Dimitrios Vamvatsikos,et al.  Developing efficient scalar and vector intensity measures for IDA capacity estimation by incorporating elastic spectral shape information , 2005 .

[23]  S. Popovics.  A numerical approach to the complete stress-strain curve of concrete , 1973 .

[24]  Gian Michele Calvi,et al.  Concepts and procedures for direct displacement-based design and assessment , 2019, Seismic Design Methodologies for the Next Generation of Codes.

[25]  E. Maurer,et al.  Dependency of COD on ground motion intensity and stiffness distribution , 2007 .

[26]  Eduardo Miranda,et al.  Approximate Seismic Lateral Deformation Demands in Multistory Buildings , 1999 .

[27]  Mark Aschheim,et al.  Seismic Design Based on the Yield Displacement , 2002 .

[28]  Michael N. Fardis,et al.  A displacement‐based seismic design procedure for RC buildings and comparison with EC8 , 2001 .

[29]  L. Megget,et al.  Bulletin of the New Zealand society for earthquake engineering , 2002 .

[30]  Matjaž Dolšek,et al.  Risk-based seismic design - An alternative to current standards for earthquake-resistant design of buildings , 2012 .

[31]  Dimitris L. Karabalis,et al.  Inclusion of P–Δ effect in displacement‐based seismic design of steel moment resisting frames , 2007 .

[32]  Edward Cohen,et al.  Minimum Design Loads for Buildings and Other Structures , 1990 .

[33]  John W. Wallace,et al.  Yield displacement-based seismic design of RC wall buildings , 2007 .

[34]  Paolo Franchin,et al.  Method for Probabilistic Displacement-Based Design of RC Structures , 2012 .

[35]  Dimitrios Vamvatsikos,et al.  Applied Incremental Dynamic Analysis , 2004 .

[36]  Dimitrios G. Lignos,et al.  An efficient method for estimating the collapse risk of structures in seismic regions , 2013 .

[37]  Farzin Zareian,et al.  Decision support for conceptual performance‐based design , 2006 .

[38]  C. Allin Cornell,et al.  Probabilistic Basis for 2000 SAC Federal Emergency Management Agency Steel Moment Frame Guidelines , 2002 .

[39]  Manolis Papadrakakis,et al.  Performance-based optimum seismic design of reinforced concrete structures , 2008 .

[40]  Gian Michele Calvi,et al.  Displacement-based seismic design of multi-degree-of-freedom bridge structures , 1995 .