Cantilever Circular Plates with linear load and Radial Moment

Several cases of loaded ciruclar plates, supported between center and periphery,
have been treated previously by the author of this paper and published in
the Journal of Techical Faculty or elsewhere.
In this paper the case of cantilever circular plates loaded uniformly with a
line load and radial moment is discussed in detail and the expressions for deflections
and moments are given. It is assumed that the elastic plate is made of a material
which is homogeneous and isotropic with small thickness and there is no continuity
between the plate and its support. First of all the differential equation governing the
problem is explained, then for this particular case of loading it is solved. The location
of applied load or moment is considered to be situated either between then center and
the support, or between the support and the periphery of the plates, and a complete
set of solutions is furnished. Finally, the following engineering applications are given:
a - Partially loaded cantilever circular plates;
b - Solution of cantilever circular plates loaded uniformly with a line moment
and resulted from that of a line load;
c - Discussion on the problem of cantilever circular loaded plate if the continuity
exists between the plate and its support.
d - Propped cantilever circular plates