考虑荷载横向变位时箱梁剪滞效应的解析解

发布时间：2018-10-14 11:25

【摘要】：通过对3种翼板分设不同的纵向位移差函数,并假定纵向位移沿横向分布规律为三次抛物线,计算外力势能时考虑荷载横向作用位置的影响,然后根据能量变分法,分别推导出集中、均布荷载横向变位时简支梁的应力和剪滞系数公式,本文方法计算结果与有限元模型结果吻合良好,验证了本文所作假定和理论推导的正确性。荷载横向变位时剪滞系数沿纵向的变化曲线表明:荷载由腹板顶部向顶板中心移动时,顶板受影响最明显,且由负剪滞效应变为正剪滞效应,腹板则相反;均布荷载作用下,越靠近支点剪滞效应越大,集中力作用下,作用位置局部区域内剪滞效应影响较大,其他区域几乎无影响,荷载作用点由腹板靠近顶板中心时,剪滞影响范围逐渐增大。
[Abstract]:Through different longitudinal displacement difference functions for three kinds of flange plates, and assuming that the longitudinal displacement distribution along the transverse direction is a cubic parabola, the influence of the transverse action position of the load on the potential energy of the external force is considered, and then according to the energy variation method, the influence of the lateral position of the load is taken into account in the calculation of the potential energy of the external force. The formulas of stress and shear lag coefficient of simply supported beams with concentrated and uniform transverse displacement load are derived respectively. The calculated results of this method are in good agreement with the results of finite element model, which verifies the correctness of the assumption and theoretical derivation made in this paper. The variation curve of shear lag coefficient along the longitudinal direction shows that when the load moves from the top of the web to the center of the roof, the influence on the roof is the most obvious, and the negative shear lag becomes the positive shear lag, and the web is the opposite. The more near the fulcrum, the greater the shear lag effect. Under the action of concentrated force, the effect of shear lag in the local area of the action position is greater than that in the other regions. When the load acting point is near the center of the roof, the influence range of shear lag increases gradually.
【作者单位】：长沙市规划勘测设计研究院;
【分类号】：U441

【参考文献】