NUMERICAL ANALYSIS OF THIN BEAMS RESTING ON NONLINEAR ELASTIC FOUNDATIONS

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منشور: Apr 1, 2010
DOI: https://doi.org/10.31026/j.eng.2010.01.22
الكلمات المفتاحية:
Beams, finite differences, Winkler foundation, nonlinear analysis, tangent modulus.

محتوى المقالة الرئيسي

Adel A. Al-Azzawi

الملخص

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.

تفاصيل المقالة

كيفية الاقتباس
"NUMERICAL ANALYSIS OF THIN BEAMS RESTING ON NONLINEAR ELASTIC FOUNDATIONS" (2010) مجلة الهندسة, 16(01), ص 4695–4706. doi:10.31026/j.eng.2010.01.22.
إصدار
مجلد 16 عدد 01 (2010): Journal of Engineering
القسم
Articles
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هذا العمل مرخص بموجب Creative Commons Attribution 4.0 International License.

 
 

كيفية الاقتباس

"NUMERICAL ANALYSIS OF THIN BEAMS RESTING ON NONLINEAR ELASTIC FOUNDATIONS" (2010) مجلة الهندسة, 16(01), ص 4695–4706. doi:10.31026/j.eng.2010.01.22.
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تواريخ المنشور

المراجع

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 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.

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 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.

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