ABSTRACT
In many engineering problems, the geometry and boundary loading of the solid are more conveniently expressed in terms of cylindrical coordinates. Some axisymmetric problems that have engineering applications are verified. These problems comprise thick-walled cylinders subjected to internal and/or external pressures with and without radial thermal gradient, shrink fits, rotating disks, and drums with and without radial thermal gradient. The problem of a thick-walled cylinder subjected to internal and/or external pressures occurs in several types of engineering equipment, such as hydraulic presses, compressors, high-pressure boilers, extrusion containers, drawing dies, gun barrels, and high-pressure reactors. Cylinders subjected to extremely high pressures, e.g., gun barrels and metal-forming containers, are usually prestressed to fulfill strength requirements that cannot be practically obtained by increasing the cylinder wall thickness. The problem of determining stresses in disks rotating at high speeds has several engineering applications, such as in the design of steam and gas turbines, compressors, fans, flywheels, and other rotating machinery.
