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Column buckling is a critical property influencing the stability of structures subjected to axial loads, distinct from material yield failure. Euler's theory of buckling provides a mathematical framework for analyzing slender columns, identifying critical loads under various boundary conditions. The limitations of Euler's theory highlight its applicability to long, slender configurations while considering real-world factors like eccentric loading, which introduces complexities in design that require careful consideration of both axial forces and moments.
References
Module IV_ Column Buckling.pdfClass Notes
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What we have learnt
Final Test
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Term: Column Buckling
Definition: A failure mode that occurs when a slender structure deforms under axial load, despite the material remaining elastic.
Term: Euler’s Theory of Buckling
Definition: A foundational theoretical framework to determine the critical load at which a perfectly straight, elastic column becomes unstable.
Term: Effective Length
Definition: The length of a column that reflects its support conditions; affects the critical load determined by Euler’s formula.
Term: Eccentric Loading
Definition: A loading condition where the force does not act through the centroid of the column's cross-section, causing additional bending stresses.