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Internal force analysis due to the supporting translation in statically indeterminate structures for different elastic modulus

  • Applied Mathematics And Machanics
  • Letters
  • Published:
Journal of Shanghai University (English Edition)

Abstract

For statically indeterminate structure, the internal force will be changed with the translation of the supports, because the internal force is related to the absolute value of the stiffness EI. When the tension is different with the compression modulus, EI is the function of internal force and is not constant any more that is different from classic mechanics. In the other words, it is a nonlinear problem to calculate the internal force. The expression for neutral axis of the statically indeterminate structure was derived in the paper. The iterative program for nonlinear internal force was compiled. One case study was presented to illustrate the difference between the results using the different modulus theory and the single modulus theory as in classical mechanics. Finally, some reasonable suggestions were made for the different modulus structures.

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Authors and Affiliations

  1. Department of Civil Engineering, Shanghai University, 200072, Shanghai, P.R. China

    Yao Wen-juan (Asso. Prof.) & Ye Zhi-ming D. Ph. (Prof.)

  2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072, Shanghai, P.R. China

    Yao Wen-juan (Asso. Prof.) & Ye Zhi-ming D. Ph. (Prof.)

Authors
  1. Yao Wen-juan
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  2. Ye Zhi-ming D. Ph.
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Yao, Wj., Ye, Zm.D. Internal force analysis due to the supporting translation in statically indeterminate structures for different elastic modulus. J. of Shanghai Univ. 8, 274–280 (2004). https://doi.org/10.1007/s11741-004-0063-x

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  • DOI: https://doi.org/10.1007/s11741-004-0063-x

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