On the non‐iterative procedure of direct displacement‐based seismic design for portal R.C. bridges: Using inelastic design spectrum

Abstract In general, iterative procedures are required by the direct displacement‐based seismic design method. This paper presents a non‐iterative displacement‐based method for the design of portal R.C. bridges based on the inelastic design response spectrum. By combining the properties of structural stiffness and yielding, a rational, efficient and accurate method is established, where not only the strength and stiffness of members depend on the pre‐selected target displacement and ductility ratio, but the cross‐sections of those can also directly be determined form the two pre‐chosen values without any iteration. In addition to the examples that are used to illustrate the proposed procedure, the dynamic inelastic time history analysis and the static nonlinear analysis (pushover analysis) are also included to verify this procedure. It is concluded by the study that iterations are not needed in direct displacement‐based design if the force‐deformation relationships of designed structures can be derived.

[1]  Adrian M. Chandler,et al.  Performance-based design in earthquake engineering: a multi-disciplinary review , 2001 .

[2]  Vitelmo V. Bertero,et al.  Evaluation of Strength Reduction Factors for Earthquake-Resistant Design , 1994 .

[3]  Andrei M. Reinhorn,et al.  IDARC2D, Version 4.0: A Computer Program for the Inelastic Damage Analysis of Buildings , 1996 .

[4]  M. Sozen,et al.  Inelastic Responses of Reinforced ConcreteStructure to Earthquake Motions , 1974 .

[5]  Anil K. Chopra,et al.  Direct Displacement-Based Design: Use of Inelastic vs. Elastic Design Spectra , 2001 .

[6]  Mervyn J. Kowalsky,et al.  Direct displacement-based seismic design of concrete buildings , 2000 .

[7]  John W. Wallace Seismic Design of RC Structural Walls. Part I: New Code Format , 1995 .

[8]  Russell C. Hibbeler,et al.  Structural Analysis , 1994 .

[9]  Polat Gülkan,et al.  INELASTIC RESPONSES OF REINFORCED CONCRETE STRUCTURES TO EARTHQUAKE MOTIONS , 1977 .

[10]  M. Priestley DISPLACEMENT-BASED SEISMIC ASSESSMENT OF REINFORCED CONCRETE BUILDINGS , 1997 .

[11]  Peter Fajfar,et al.  Capacity spectrum method based on inelastic demand spectra , 1999 .

[12]  Meng-Hao Tsai,et al.  Displacement‐based seismic design for buildings , 2002 .

[13]  W. J. Hall,et al.  Earthquake spectra and design , 1982 .

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

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