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Earthquakes and Structures
  Volume 1, Number 1, March 2010 , pages 1-19
DOI: https://doi.org/10.12989/eas.2010.1.1.001
 


Two-dimensional rod theory for approximate analysis of building structures
Hideo Takabatake

 
Abstract
    It has been known that one-dimensional rod theory is very effective as a simplified analytical approach to large scale or complicated structures such as high-rise buildings, in preliminary design stages. It replaces an original structure by a one-dimensional rod which has an equivalent stiffness in terms of global properties. If the structure is composed of distinct constituents of different stiffness such as coupled walls with opening, structural behavior is significantly governed by the local variation of stiffness. This paper proposes an extended version of the rod theory which accounts for the two-dimensional local variation of structural stiffness; viz, variation in the transverse direction as well as longitudinal stiffness distribution. The governing equation for the two-dimensional rod theory is formulated from Hamilton
 
Key Words
    simplified analytical method; extended rod theory; two-dimensional stiffness of structures; preliminary design for buildings; dynamic analysis; shear wall with opening.
 
Address
Hideo Takabatake: Department of Architecture, Kanazawa Institute of Technology, 7-1 Ohgigaoka Nonoichi Ishikawa 921-8501, Japan; Institute of Disaster and Environmental Science, 3-1 Yatsukaho, Hakusan, Ishikawa Prefecture, 924-0838, Japan
 

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