The Planck mean radiation-pressure cross sections are calculated for dynamically oriented cylindrical grains consisting of graphite, pure and dirty iron, ice, silicates (obsidian and basalt), and silicon carbide. It is assumed that the particles are completely oriented by a mechanism of Davis-Greenstein type. Grains with radii from 1 to 1000 nm and four values of the effective temperature (3300, 5770, 15,500, and 40,000 K) are considered. It is found that the Planck mean cross sections depend weakly on the angle between the directions of the orientation and the incident radiation.