The paper is devoted to simply supported beams under three-point bending. Their mechanical properties symmetrically vary in the depth direction. The individual shear deformation theory for beams of such features is proposed. Based on the principle of stationary total potential energy the differential equations of equilibrium are obtained. The system of the equations is analytically solved, and the shear coefficients and deflections of example beams are calculated. The solution is compared with other analytical results obtained with the use of another deformation function. Moreover, the bending problem of these beams is also numerically studied using the finite element method. Results of analytical and numerical studies are presented in Figures and Tables.

本文专门研究三点弯曲下的简支梁。它们的机械性能在深度方向上对称变化。提出了具有这种特征的梁的个体剪切变形理论。根据固定总势能原理，得到平衡微分方程。通过解析求解方程组，并计算示例梁的剪切系数和挠度。将该解决方案与使用其他变形函数获得的其他分析结果进行比较。此外，还使用有限元方法对这些梁的弯曲问题进行了数值研究。分析和数值研究的结果显示在图表中。