The steady-state response of a rectangular plate with four free edges supported at internal points subjected to external force is determined. The general analytical solution is obtained by a hybrid method that decomposes the original structure into four basic rectangular plates with different boundary conditions. A numerical example is presented to show that the high-degree accuracy can be gained with a small effort of calculations using the theoretical solution. Sensitivity studies using the analytical solution were also conducted to investigate the effects of load magnitude, sectional dimension (or area), bending stiffness of rectangular plate, and location of internal point on the support reaction, displacement, bending moment, and shear force of rectangular plate.

确定了一个矩形板的稳态响应，该矩形板的四个自由边缘支撑在受外力作用的内部点上。通过混合方法可以获得一般的解析解，该方法将原始结构分解为四个具有不同边界条件的基本矩形板。数值例子表明，采用理论解，只需少量的计算即可获得较高的精度。还使用分析溶液进行了敏感性研究，以研究载荷大小，截面尺寸（或面积），矩形板的弯曲刚度以及内点位置对支撑反应，位移，弯曲矩和矩形剪切力的影响。盘子。