This lesson covers the concept of Euler Buckling Load with different boundary conditions. It starts with a recap of the hinged-hinged and fixed-fixed columns, explaining how the second order differential equation was derived from the equilibrium equation in a bent configuration. The lesson then introduces two new sets of boundary conditions: fixed-free and fixed-hinged columns. The methodology for deriving the governing differential equation and finding the critical load is explained. The lesson also demonstrates how to solve these equations using displacement and slope conditions. The lesson concludes with a detailed explanation of how to determine the effective length of a column when one end is hinged and the other end is fixed.

- The governing differential equation for columns is derived from the equilibrium equation in a bent configuration.
- The order of the governing differential equation is 2, and essential boundary conditions are used for solving it.
- The Euler Buckling Load can be determined for different boundary conditions: fixed-free and fixed-hinged columns.
- The effective length of a column when one end is hinged and the other end is fixed can be determined by comparing it with the Euler column.

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