Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (9): 983-993.

• 论文 • 上一篇    下一篇

ANALYTICAL SOLUTION OF BENDING-COMPRESSION COLUMN USING DIFFERENT TENSION-COMPRESSION MODULUS

姚文娟1, 叶志明2   

  1. 1. Department of Civil Engineering, Shanghai University, Shanghai 200072, P. R. China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China
  • 收稿日期:2003-03-06 修回日期:2004-04-20 出版日期:2004-09-18 发布日期:2004-09-18

ANALYTICAL SOLUTION OF BENDING-COMPRESSION COLUMN USING DIFFERENT TENSION-COMPRESSION MODULUS

YAO Wen-juan1, YE Zhi-ming2   

  1. 1. Department of Civil Engineering, Shanghai University, Shanghai 200072, P. R. China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China
  • Received:2003-03-06 Revised:2004-04-20 Online:2004-09-18 Published:2004-09-18

摘要: Based on elastic theory of different tension-compression modulus, the analytical solution was deduced for bending-compression column subject to combined loadings by the flowing coordinate system and phased integration method. The formulations for the neutral axis, stress, strain and displacement were developed, the finite element program was compiled for calculation, and the comparison between the result of finite element and analytical solution were given too. Finally, compare and analyze the result of different modulus and the same modulus, obtain the difference of two theories in result, and propose the reasonable suggestion for the calculation of this structure.

关键词: different modulus, analytical solution, neutral axis, bending-compression column

Abstract: Based on elastic theory of different tension-compression modulus, the analytical solution was deduced for bending-compression column subject to combined loadings by the flowing coordinate system and phased integration method. The formulations for the neutral axis, stress, strain and displacement were developed, the finite element program was compiled for calculation, and the comparison between the result of finite element and analytical solution were given too. Finally, compare and analyze the result of different modulus and the same modulus, obtain the difference of two theories in result, and propose the reasonable suggestion for the calculation of this structure.

Key words: different modulus, analytical solution, neutral axis, bending-compression column

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