This lesson covers the finite deflection theory of plate buckling, focusing on the derivation of governing differential equations in terms of stress function and displacement. It uses an example of a simply supported plate uniformly compressed in one direction to illustrate the calculation of critical load and post-buckling behaviour. The lesson also explains the Galerkin method for solving these equations and introduces the F-w approach. It further discusses the concept of membrane action resulting from flexure and how it influences the equations. The lesson concludes with a detailed explanation of the load-displacement curve and the concept of post-buckling strength.

- The governing differential equations for plate buckling are derived considering the membrane action resulting from flexure.
- The Galerkin method and F-w approach are effective methods for solving these equations.
- The concept of membrane action due to flexure plays a significant role in plate buckling.
- The load-displacement curve provides insights into the post-buckling behaviour of the plate.
- The plate's ability to resist axial loads in excess of the critical load after buckling is known as post-buckling strength.

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