Modal rigidity center: it's use for assessing elastic torsion in asymmetric buildings

  • Georgoussis, George K. (Department of Civil and Construction Engineering, School of Pedagogical and Technological Education (ASPETE))
  • Received : 2009.12.11
  • Accepted : 2010.03.24
  • Published : 2010.06.25


The vertical axis through the modal center of rigidity (m-CR) is used for interpreting the code torsional provisions in the design of eccentric multi-story building structures. The concept of m-CR has been demonstrated by the author in an earlier paper and the particular feature of this point is that when the vertical line of the centers of mass at the floor levels is passing through m-CR, minimum base torsion is developed. For this reason the aforesaid axis is used as reference axis for implementing the code provisions required by the equivalent static analysis. The study examines uniform mixed-bent-type multistory buildings with simple eccentricity, ranging from torsionally stiff to torsionally flexible systems. Using the results of a dynamic response spectrum analysis as a basis for comparisons, it is shown that the results of the code static design are on the safe side in torsionally stiff buildings, but unable to predict the required strength of bents on the stiff side of systems with a predominantly torsional response. Suggestions are made for improving the code provisions in such cases.


asymmetric structures;design eccentricities;modal analysis


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