Equilibrium of Bodies of Revolution

Abstract

Bodies of revolution, such as circular and annular plates, solid and hollow cylinders, solid and hollow spheres, solid and hollow cones, etc., are frequently encountered in engineering. In this chapter, we will develop several analytical solutions for circular and annular plates and for solid and hollow cones, based on the general solution derived in Chapter 2. These include the solutions for a circular (annular) plate subjected to axial tension, radial compression, pure bending, uniform transverse load (with simple supports), or uniform rotation, and for a solid (hollow) cone subjected to concentrated loading at its apex. The problems of cylinders and spheres will be discussed in later chapters.