NUMERICAL ANALYSIS OF THIN BEAMS RESTING ON NONLINEAR ELASTIC FOUNDATIONS
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Abstract
The finite difference method is used for solving the basic differential equation for the elastic deformation of a thin beam supported on a nonlinear elastic foundation. A tangent approach is used to determine the modulus of subgrade reaction after constructing a second degree equation for load-deflection diagram. Results of plate loading test of soil obtained in Iraq were used in the analysis. An iterative approach is used for solving the nonlinear problem until the convergence of the solution. The method of analysis, as programmed for a computer solution, considers the continuous elastic, nonlinear foundation to be active only when the beam is pressing against the foundation. Two examples of with simply supported beams are presented to illustrate the application of the method of analysis.
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References
Bowels, J.E. “Foundation Analysis and Design”, McGraw-Hill 1988.
Hetenyi, M. “Beams on Elastic Foundation” Ann Arbor, The University of Michigan press.1974.
Yin,J. H, “Comparative modeling study of reinforced beam on elastic foundation” Journal of Engineering Mechanics, March 2000.
Yin,J. H, “Closed-form solutions for Timoshenko beam on elastic foundation” Journal of Engineering Mechanics, August 2000.
Chen, C.N.,“Solution of beam on elastic foundation by DQEM", Journal of Engineering Mechanics, December 1998.
Soil Investigation Report of Big Baghdad Mosque.
Salvadori, M.G., and Baron M. L., “Numerical Methods in Engineering” Printice-Hall, INC, 2nd edition 1961.