边坡框架梁文克尔简化计算方法及工程应用

为了改进边坡框架梁的计算方法，基于文克尔地基梁假定，考虑框架梁与土体的互相作用，通过关键点拟合的方法，把指数函数和三角函数简化为一元二次函数，推导出边坡框架梁的简化计算公式。该方法被应用于福建一处边坡支护工程，采用锚索框架梁支护，施工过程中对边坡进行位移监测。研究结果表明，传统的文克尔地基梁计算需要求解微分方程，计算过程比较复杂，不适合设计中使用，而简化后的计算方法容易掌握，可以方便计算出框架梁的端部弯矩和跨中弯矩。边坡位移监测结果表明该简化计算方法安全可行。研究结果对边坡框架梁的工程设计有一定的参考作用。 

SIMPLIFIED CALCULATION METHOD OF SLOPE FRAME BEAM BASED ON WINKLER ASSUMPTION AND ITS ENGINEERING APPLICATION

In order to improve the calculation method of the slope frame beam, based on Winkler foundation beam assumption, considering the interaction between the frame beam and the soil mass, the exponential function and trigonometric function are simplified into a unary quadratic function through the method of key points fitting, and the simplified calculation formula of the slope frame beam is deduced. This method is applied to a slope support project in Fujian province, which adopts anchor frame beam to support and monitors the displacement of the slope in the construction process. The results show that the traditional Winkler beam calculation requires the solution of differential equation, and the calculation process is complex, which is not suitable for use in design, but the simplified calculation method is easy to grasp, which can be used to calculate the end bending moment and mid-span bending moment of the frame beam. The results of slope displacement monitoring show that the simplified method is safe and feasible. The results of this study can be used as a reference for the engineering design of slope frame beams.