拉压不同模量弯压柱的近似弹性力学解  

Approximate Elasticity Solution of Bending-compression Column with Different Tension-compression Moduli

作　　者：何晓婷[1] 郑周练[1] 陈山林[1] 

机构地区：[1]重庆大学土木工程学院,重庆400030

出　　处：《重庆大学学报（自然科学版）》2008年第3期339-343,共5页Journal of Chongqing University

基　　金：国家重大基础研究前期研究专项基金资助项目(2003CCA01500)

摘　　要：通过合理简化模型,将不同模量弹性理论中定义在主坐标系下的本构关系重新建立在普通坐标系下,进行拉压分区,从而推导了考虑自重且顶部有水平推力的不同模量弯压柱近似弹性力学解答,并由横截面上正应力为零判定了中性层的形状和位置。研究表明:材料的不同模量以及剪应力的大小和方向对中性层的位置和形状具有一定影响。By simplifying the mechanical model, constitutive relation defined in principal direction based on elasticity theory with different moduli was rebuilt in common ordinates, and tension-compression area was divided. There-fore, we obtained approximate elasticity solution of bending-compression column with different moduli, which was based on its gravity and a horizontal subjected force on top. The configuration and position of neutral layer were determined from the principals of zero normal stress. The results suggest that different moduli, magnitude and direction of shear stress have influences on the configuration and position of the neutral layer＇ of materials.

关 键 词：拉压不同模量 弯压柱 弹性力学 

分 类 号：O343.5[理学—固体力学]