Approximate Solutions The Galerkin Method

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Finding approximate solutions using The Galerkin Method. Showing an example of a cantilevered beam with a UNIFORMLY DISTRIBUTED LOAD. • Governing Equations: Weak Forms vs Strong Forms: • • Governing Equations: Weak Forms Versu... • The Ritz Method: • • Approximate Solutions - The Ritz Method • Download notes for THIS video HERE: https://bit.ly/3H5qKcv • Download notes for my other videos: https://bit.ly/37OH9lX • 0:00 Introduction • 1:00 The Method of Weighted Residuals • 8:14 The Galerkin Method - Explanation • 13:37 Orthogonal Projection of Error • 20:49 The Galerkin Method - Step-By-Step • 23:26 Example: Cantilever beam with uniformly distributed load using Galerkin's Method - Shape Functions • 28:53 Example: Cantilever beam with uniformly distributed load using Galerkin's Method - Solving for the Constants • 31:22 Example: Cantilever beam with uniformly distributed load using Galerkin's Method - Solution • 32:57 Quick recap

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