This lesson covers the concept of plate buckling and the derivation of governing differential equations. It explains the assumptions made during the derivation process, such as small deflections compared to plate thickness and negligible membrane action resulting from flexure. The lesson also discusses the equilibrium approach, energy approach, and Galerkin method for solving these equations. For instance, the Galerkin method involves substituting an assumed shape function in the governing differential equation and minimizing the error in the complete domain of the plate. The lesson concludes with a problem-solving session where the critical load of a simply supported plate is calculated using the equilibrium approach.

- Governing differential equations for plate buckling are derived based on certain assumptions.
- The equilibrium approach, energy approach, and Galerkin method are different methods to solve these equations.
- The Galerkin method involves substituting an assumed shape function in the governing differential equation and minimizing the error.
- The critical load of a simply supported plate can be calculated using the equilibrium approach.
- The buckling stress coefficient can be determined for any aspect ratio.

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