This lesson covers the application of beam on elastic foundation analysis to pressure vessels. It discusses the deformation of a cylindrical vessel subjected to radially distributed loading, and how this deformation can be analyzed by considering a sector of the vessel like a beam on an elastic foundation. The lesson also explains how to calculate the constants needed for this analysis, such as the modulus of rigidity of the beam and the resistance of the beam to deflection. It further explores the impact of forces on the deformation of a sector, and how these forces can be visualized and calculated. The lesson concludes with a discussion on discontinuity stresses at the junction of a cylinder and a sphere, and how these stresses can be calculated and analyzed.

- The deformation of a cylindrical vessel subjected to radially distributed loading can be analyzed by considering a sector of the vessel like a beam on an elastic foundation.
- The modulus of rigidity of the beam and the resistance of the beam to deflection are key constants in this analysis.
- Forces acting on the deformation of a sector can be visualized and calculated.
- Discontinuity stresses occur at the junction of a cylinder and a sphere, and these stresses can be calculated and analyzed.

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