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Structural Engineering and Mechanics Volume 16, Number 5, November 2003 , pages 597-612 DOI: https://doi.org/10.12989/sem.2003.16.5.597 |
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Stability of multi-step flexural-shear plates with varying cross-section |
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J. Y. Xu and Q. S. Li
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| Abstract | ||
| In this paper, multi-story buildings with shear-wall structures and with narrow rectangular plane configuration are modeled as a multi-step flexural-shear plate with varying cross-section for buckling analysis. The governing differential equation of such a plate is established. Using appropriate transformations, the equation is reduced to analytically solvable equations by selecting suitable expressions of the distribution of stiffness. The exact solutions for buckling of such a one-step flexural-shear plate with variable stiffness are derived for several cases. A new exact approach that combines the transfer matrix method and closed from solution of one-step flexural-shear plate with continuously varying stiffness is presented for stability analysis of multi-step non-uniform flexural-shear plate. A numerical example shows that the present methods are easy to implement and efficient. | ||
| Key Words | ||
| buckling; plates; tall buildings. | ||
| Address | ||
| Department of Civil Engineering, Wuhan University of Technology, Wuhan 430070, P.R. of China Department of Building and Construction, City University of Hong Kong | ||