基于变截面双T坡板变形解析方程的计算模型研究

Research on Calculation Model of Deformation Analytical Equation Based on Variable Cross Section Double T Sloping Plate

对于变截面双T坡板结构,采用一般的等截面变形解析方程无法求解。本文针对变截面双T坡板沿长度方向的截面变化规律,建立了简化后的惯性矩拟合方程,并利用该方程推导了在简支梁结构均布荷载、跨中集中力、对称集中力条件下的变形解析方程,给出了跨中变形的计算公式,最后通过有限元分析验证跨中变形的理论计算,结果显示,YTSb 243-2型双T坡板偏差率在1.25%~1.43%之间,且随着荷载值的增加,偏差率越小,拟合效果越好,该计算模型可为工程中变截面双T坡板的变形计算提供参考。

For the variable-section double-T slope slab structure,the general constant-section deformation analytical equation cannot be solved. Therefore,in this paper,a simplified fitting equation of the moment of inertia is established for the section change law of the variable section double T sloped slab along the length direction,and the equation is used to deduce the uniform load,mid-span concentrated force,and symmetrical concentration in the simply supported beam structure. The analytical equation of deformation under force conditions is given,and the calculation formula of mid-span deformation is given. Finally,the theoretical calculation of mid-span deformation is verified by finite element analysis. %,and with the increase of the load value,the smaller the deviation rate is,the better the fitting effect is. The calculation model can provide a reference for the deformation calculation of the variable-section double-T slope slab in the project.