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Structural Engineering and Mechanics Volume 38, Number 5, June10 2011 , pages 573-592 DOI: https://doi.org/10.12989/sem.2011.38.5.573 |
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Nonlinear analysis of finite beam resting on Winkler foundation with consideration of beam-soil interface resistance effect |
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L. Zhang, M.H. Zhao, Y. Xiao and B.H. Ma
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Abstract | ||
Comprehensive and accurate analysis of a finite foundation beam is a challenging engineering problem and an important subject in foundation design. One of the limitation of the traditional Winkler elastic foundation model is that the model neglects the effect of the interface resistance between the beam and the underneath foundation soil. By taking the beam-soil interface resistance into account, a deformation governing differential equation for a finite beam resting on the Winkler elastic foundation is developed. The coupling effect between vertical and horizontal displacements is also considered in the presented method. Using Galerkin method, semi-analytical solutions for vertical and horizontal displacements, axial force, shear force and bending moment of the beam under symmetric loads are presented. The influences of the interface resistance on the behavior of foundation beam are also investigated. | ||
Key Words | ||
foundation beam; Winkler model; deformation-coupling; interface resistance; nonlinear analysis; Galerkin method. | ||
Address | ||
L. Zhang: College of Civil Engineering, Hunan University, Changsha, 410082, China M.H. Zhao: College of Civil Engineering, Hunan University, Changsha, 410082, China Y. Xiao: College of Civil Engineering, Hunan University, Changsha, 410082, China; Department of Civil Engineering University of Southern California, Los Angeles, CA 90089-2531, USA B.H. Ma: College of Civil Engineering, Hunan University, Changsha, 410082, China | ||