This lesson covers the concept of plate buckling and the governing differential equation associated with it. It delves into the membrane action resulting from flexure and the in-plane forces due to applied edge loading. The lesson also explains how to solve the governing differential equation to find the critical load using equilibrium and energy methods. It further discusses the concept of boundary conditions and how to solve a problem of a plate with different boundary conditions using the energy method and Galerkin method. The lesson concludes with the calculation of the critical load of a plate subjected to shear loading.

- The governing differential equation of plate buckling considers the membrane action resulting from flexure.
- The critical load can be found by solving the governing differential equation using equilibrium and energy methods.
- The boundary conditions of a problem play a crucial role in solving it.
- The energy method and Galerkin method can be used to solve a problem of a plate with different boundary conditions.
- The critical load of a plate subjected to shear loading can be calculated using the Galerkin method.

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