The method of linear conjugation of analytical functions of complex variable was used to solve the problem of circular transversally isotropic plate bending hinged on the edge and loaded over the outer surface by the force distributed along the concentric curve. The complex potentials employed for registering the stress and deformation characteristics of the problem can possess the specific features at the concentrated force loading points, their nature was investigated and applied to the existing loading as conditionally concentrated. For getting the solution, the equation for the refined transtropic plate bending model was used that includes transverse shear strains and cross-sectional reductions, and, unlike other refined theories, the formulas with those refinements are advanced. The constants in the complex potentials were established with the boundary conditions and conjugation conditions for the moments and generalized angles of cross-section rotation along the loading line. With the approach by Timoshenko and Woinowsky-Krieger, from the circular loading solution, as a particular case, the solution for the centered concentrated force-loaded plate was obtained. For both cases, the refined normal radial and circumferential stresses were calculated in the center and on the edge of the plate. The data are summarized in tables and graphs. The model and numerical results show that an increase in the transverse plate anisotropy can radically change stress distribution patterns in its transverse cross-sections, up to the change in the radial stress signs on the outer surfaces. The classical model of plate bending and refined models such as by Timoshenko and Reissner are inapplicable in this case.

采用复变量解析函数线性共轭的方法，解决了铰接在边缘上并通过沿同心曲线分布的力作用于外表面的圆形横向各向同性板的弯曲问题。用于记录问题的应力和变形特征的复势可以在集中力加载点处具有特定特征，对其性质进行了研究并将其应用于有条件集中的现有载荷。为了获得解决方案，使用了精炼的转变板弯曲模型的方程，其中包括横向剪应变和横截面减少量，并且与其他精炼理论不同的是，经过这些精炼的公式是先进的。复势中的常数是根据沿加载线的截面旋转力矩和广义角度的边界条件和共轭条件建立的。采用 Timoshenko 和 Woinowsky-Krieger 的方法，从圆形加载解中，作为一个特例，得到了中心集中受力板的解。对于这两种情况，都计算了板中心和边缘的精细法向径向应力和周向应力。数据总结为表格和图表。模型和数值结果表明，横向板各向异性的增加可以从根本上改变其横截面的应力分布模式，直至外表面径向应力符号的变化。板弯曲的经典模型以及 Timoshenko 和 Reissner 等的精细模型在这种情况下不适用。