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Time period formulas for RC shear-wall multistory buildings
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DOI：10.1007/s11803-026-2405-1.png)
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Abstract
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This paper presents new formulas for estimating the translational and rotational time periods of the prevailing reinforced concrete shear-wall multistory buildings (SWMBs) in Egypt. Forty distinct structural plans, featuring varying lateral and torsional stiffness, were rigorously prepared to create a sample of 142 SWMBs, with diverse heights, concrete strengths, and stiffness properties. A three-dimensional finite element modal analysis was conducted on the sample, and the first three vibration modes were identified. Regression analyses were performed using multiple combinations of eighteen geometric and mechanical parameters to derive the most accurate and simplest formulas for the translational and rotational periods. Additionally, lower-bound translational formulas were proposed for code implementation. Compared with reference modal analyses and period estimates calculated using the Egyptian code (ECL 201) alongside three international seismic codes—EC8, IBC, and UBC—the proposed formulas demonstrated superior reliability (95% based on a new criterion), followed by the UBC (61%) and ECL (56%). While the ECL ensured the safety of all buildings, it exhibited excessive conservativeness in underestimating the periods. The proposed formulas mitigated this conservativeness by ensuring only marginal underestimation of the time periods, thereby improving economic viability. Furthermore, the correct order of the first three vibration modes was effectively distinguished.
Keywords:
fundamental time period formulas
shear-wall multistory buildings
seismic codes
finite element modal analysis
regression analysis
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3.3
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115
Citations:
3.0K
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