Appendix C: Modified Structural System Calculations58
Structural design projects
Introduction
The fundamental period of a building is a key parameter for the seismic design of a building structure using the equivalent lateral force procedure. As the building period cannot be analytically calculated before the building is designed, periods from the empirical period formulas recommended in seismic design codes or from finite element analysis with assumed mass and stiffness are used during the preliminary design stage. In most building design projects, empirical building period formulas are used to initiate the design process. The period from the empirical period formula also serves as a basis to limit the period from a finite element model by applying the upper bound factor, Cu, suggested in the 2003 NEHRP Recommended Provisions for Seismic Regulations for New Buildings and subsequently in ASCE 7-05 2.
These formulas remained in the code until UBC-82 5. From the ATC 3-06 project 6, the period formulas for reinforced concrete and steel moment-resisting frames (RC MRFs and steel MRFs hereafter) were calibrated based on identified building periods from the 1971 San Fernando Earthquake. Seventeen steel MRFs and 14 RC MRFs were used for this calibration. The form of the formulas for the RC and steel MRFs in ATC 3-06 6 were developed based on the assumption that lateral forces are distributed linearly over the height of a building and that the deflections of the building are controlled by drift limitation.
The calibrated building formulas in ATC 3-06 6 were reflected in BOCA-87 7 and UBC-88 8 with minor refinement. The same form of the formula is also applied to other structural types in UBC-88 8. More recently, Goel and Chopra 9-11 calibrated the formula for MRFs in the code and developed a new formula for shear wall buildings with measured (or apparent) building periods from several earthquake events. In their study, 42 steel MRFs, 27 RC MRFs, and 9 shear wall buildings were used.
In the study of shear walls 10, it was found that the building period formula for shear walls should be a function of equivalent shear area and building height rather than a function of only building height. Hence, rather than calibrating parameters in the existing code formula, a new formula was suggested.
Structural Design of building
While the building period formulas have been calibrated and revised over the past 30 years, the number of data points that were used for the previous calibrations was limited to take account the wide variability ...