This lesson covers the analysis of torsional flexural buckling in columns with different boundary conditions. It begins with a recap of the previous lesson where the governing differential equation of buckling was solved to find the critical load of torsional buckling load for a column with rigidly built ends. The lesson then delves into solving the governing differential equation for finding the critical load of torsional flexural buckling using the equilibrium approach of buckling analysis. Three cases are considered: a simply supported bar, bars with built-in ends, and a column with one axis of symmetry with built-in ends. The lesson concludes with the determination of the critical load at which a uniform column having a cross-section with one axis of symmetry will buckle.

- Torsional flexural buckling occurs when the shear centre and centroid do not coincide in an axially loaded member.
- The governing differential equation for finding the critical load of torsional flexural buckling can be solved using the equilibrium approach of buckling analysis.
- The boundary conditions of the column play a crucial role in determining the critical load.
- The critical load can be determined by solving the governing differential equations simultaneously.
- The solution of the equations gives three values of critical load, of which the smallest is used in practical applications.

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