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In this video tutorial, we analyze a column fixed at one end and free at the other. We derive the equation for the critical load and the various buckle shapes for the column using the same process as before. We determine the internal bending moment as a function of X, set up the deflection curve differential equation, solve it to obtain the general solution, and apply a boundary condition to find the critical load and deflected shape of the column. This process applies to different sets of boundary conditions as well.
