Structural Engineering and Mechanics

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Stability of multi-step flexural-shear plates with varying cross-section

  • Xu, J.Y. (Department of Civil Engineering, Wuhan University of Technology) ;
  • Li, Q.S. (Department of Building and Construction, City University of Hong Kong)
  • Received : 2003.02.04
  • Accepted : 2003.07.18
  • Published : 2003.11.25
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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.

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References

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