具有水平摩阻力的弹性地基上双层叠合梁的解

BI-LAYER BEAMS ON ELASTIC FOUNDATION WITH HORIZONTAL FRICTIONAL RESISTANCE

  • 摘要: 将双层叠合梁之间的接触状况拟合为一符合Goodman假设的弹性夹层, 并对Winkler地基模型加以推广, 把地基视为具有水平和竖向反力的弹性支承体, 进而, 导出具有水平摩阻力的弹性地基上双层叠合梁的微分方程组及其解析解. 随后, 提出了考虑梁截面竖向拉压和水平剪切效应的夹层和地基广义反应模量的概念和计算式. 最后, 通过几个算例来考察地基水平摩阻力对叠合梁挠度、截面总弯矩力和最大弯拉应力的影响. 结果表明,地基水平摩阻力的影响将不能被忽略.

     

    Abstract: Based on Goodman model, which is used for simulating thecontact condition between beams, using Winkler foundation model upgradedas an elastic supporting body with horizontal and vertical forces, a set of differential equations and relevant theoretical solutions forbi-layer beams on the elastic foundation with the horizontal frictional resistanceare obtained. Considering the vertical tension and compression and thehorizontal shear of beams, a concept of the generalized reaction modulusfor interlayer \& foundation isproposed and the corresponding formulasare obtained. The influence of the horizontal frictional resistance onthe deflection, the totalsectional moment and the maximum flexural stress of bi-layer beams is discussed. The results show that the influence of the horizontalfrictional resistance can not be ignored.

     

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