This lesson covers the in-depth analysis of inelastic buckling in columns. It starts with a recap of the double modulus theory for determining the critical load of a column. The lesson then proceeds to solve two examples of column buckling problems, one with a rectangular cross-section and another with an I-section. The lesson also introduces the tangent modulus theory and explains how to determine the inelastic critical stress of any column made of a given material. The lesson concludes with a discussion on the design curve based on the tangent modulus theory. For instance, the lesson explains how to calculate the reduced modulus value for a column with a rectangular cross-section.

- The double modulus theory is used to find the critical load of a column.
- The tangent modulus theory is a proper inelastic generalization of the Euler load.
- The axial force remains constant during bending in both the rectangular and I-section columns.
- The reduced modulus value can be calculated for different column sections.
- The design curve based on the tangent modulus theory can be used to determine the inelastic critical stress of any column made of a given material.

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