This lesson covers the development of a three-dimensional buckling solution for a cylindrical shell. It delves into the governing equations for two-dimensional shell theories and first-order shear deformation shell theories. The lesson also explains the strain displacement relations and the governing partial differential equations in the lame parameters form. It further discusses the form of an equilibrium equation of stresses in curvilinear coordinate and the development of a three-dimensional solution for the case of a shell, plate, or beam. The lesson concludes with the study of the buckling of a composite cylindrical shell and the buckling of an angle ply cylindrical shell.

- The lesson provides a comprehensive understanding of the development of a three-dimensional buckling solution for a cylindrical shell.
- It explains the governing equations for two-dimensional shell theories and first-order shear deformation shell theories.
- The lesson discusses the strain displacement relations and the governing partial differential equations in the lame parameters form.
- It provides insights into the form of an equilibrium equation of stresses in curvilinear coordinate.
- The lesson concludes with the study of the buckling of a composite cylindrical shell and the buckling of an angle ply cylindrical shell.

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