1 Membrane Theory of Shells of Revolution
All thin cylindrical shells, spherical and ellipsoidal heads, and conical transition sections are generally analyzed and designed in accordance with the general membrane theory of shells of revolution. These components include those designed in accordance with the ASME pressure vessel code (Section VIII), boiler code (Section I), and nuclear code (Section III). Some adjustments are sometimes made to the calculated thicknesses when the ratio of radius to thickness is small or when other factors such as creep or plastic analysis enter into consideration. The effect of these factors is discussed in later chapters, whereas assumptions and derivation of the basic membrane equations needed to analyze shells of revolution due to various loading conditions are described here.